CVE-2025-52484

See a problem?
Please try reporting it to the source first.
Source
https://cve.org/CVERecord?id=CVE-2025-52484
Import Source
https://storage.googleapis.com/cve-osv-conversion/osv-output/CVE-2025-52484.json
JSON Data
https://api.osv.dev/v1/vulns/CVE-2025-52484
Aliases
Published
2025-06-20T17:21:28.392Z
Modified
2026-04-12T18:40:02.236100Z
Severity
  • 2.7 (Low) CVSS_V4 - CVSS:4.0/AV:N/AC:L/AT:N/PR:N/UI:N/VC:N/VI:L/VA:N/SC:N/SI:N/SA:N/E:U CVSS Calculator
Summary
RISC Zero zkVM Underconstrained Vulnerability
Details

RISC Zero is a general computing platform based on zk-STARKs and the RISC-V microarchitecture. Due to a missing constraint in the rv32im circuit, any 3-register RISC-V instruction (including remu and divu) in risc0-zkvm 2.0.0, 2.0.1, and 2.0.2 are vulnerable to an attack by a malicious prover. The main idea for the attack is to confuse the RISC-V virtual machine into treating the value of the rs1 register as the same as the rs2 register due to a lack of constraints in the rv32im circuit. Rust applications using the risc0-zkvm crate at versions 2.0.0, 2.0.1, and 2.0.2 should upgrade to version 2.1.0. Smart contract applications using the official RISC Zero Verifier Router do not need to take any action: zkVM version 2.1 is active on all official routers, and version 2.0 has been disabled. Smart contract applications not using the verifier router should update their contracts to send verification calls to the 2.1 version of the verifier.

Database specific 
{
    "cna_assigner": "GitHub_M",
    "cwe_ids": [
        "CWE-345"
    ],
    "osv_generated_from": "https://github.com/CVEProject/cvelistV5/tree/main/cves/2025/52xxx/CVE-2025-52484.json"
}
References

Affected packages

Git / github.com/risc0/risc0

Affected ranges

Type
GIT
Repo
https://github.com/risc0/risc0
Events
Introduced
0 Unknown introduced commit / All previous commits are affected
Fixed
006d86c363b16d2b2ac42d32d832a209ff8ab4c9
Type
GIT
Repo
https://github.com/risc0/risc0
Events
Introduced
0 Unknown introduced commit / All previous commits are affected
Fixed
1873bbb8a56793edd1f6195242d184cf6cc5175d
Type
GIT
Repo
https://github.com/risc0/risc0
Events
Introduced
0 Unknown introduced commit / All previous commits are affected
Fixed
67f2d81c638bff5f4fcfe11a084ebb34799b7a89

Affected versions

v0.*
v0.10.0
v0.11.0
v0.11.1
v0.12.0
v0.12.0-rc.2
v0.13.0
v0.14.0
v0.14.0-rc.1
v0.15.0
v0.16.0
v0.16.1
v0.17.0
v0.18.0
v0.19.0
v0.19.0-alpha.1
v0.19.0-rc.1
v0.19.0-rc.2
v0.19.0-rc.3
v0.19.0-rc.4
v0.7.0
v0.7.1
v0.7.2
v0.8.0
v0.9.0
v1.*
v1.0.0
v1.0.0-rc.1
v1.0.0-rc.2
v1.0.0-rc.3
v1.0.0-rc.4
v1.0.0-rc.5
v1.0.0-rc.6
v1.0.0-rc.7
v2.*
v2.0.0
v2.0.0-rc.1
v2.0.0-rc.2
v2.0.0-rc.3
v2.0.1
v2.0.2

Database specific

source 
"https://storage.googleapis.com/cve-osv-conversion/osv-output/CVE-2025-52484.json"
vanir_signatures_modified 
"2026-04-12T18:40:02Z"
vanir_signatures 
[
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "179879152990716757128701782484165568725",
            "length": 11511.0
        },
        "id": "CVE-2025-52484-00408593",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "203474599729297824556603048744347358479",
            "length": 950.0
        },
        "id": "CVE-2025-52484-00414e8a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "77696575652077434375449525291686684326",
            "length": 51107.0
        },
        "id": "CVE-2025-52484-01b06ff7",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_10"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "43035428815642959088369995856773691789",
            "length": 772030.0
        },
        "id": "CVE-2025-52484-023bb710",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopExtract"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "17414485230689641546210241666157278356",
            "length": 41557.0
        },
        "id": "CVE-2025-52484-039a110d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "77696575652077434375449525291686684326",
            "length": 51107.0
        },
        "id": "CVE-2025-52484-04369ba5",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_10"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "65681957940260956338847337361173050976",
            "length": 1697.0
        },
        "id": "CVE-2025-52484-09727b1f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRA"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "154593894177130261593245361867296319033",
            "length": 4964.0
        },
        "id": "CVE-2025-52484-0bed92f4",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Div0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "158626546603976785908269965843235957045",
            "length": 570.0
        },
        "id": "CVE-2025-52484-0c7e9189",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopBit"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "14667280805886702215911338089520483109",
            "length": 27188.0
        },
        "id": "CVE-2025-52484-0c9dd11b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_8"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "177437565140758132361233767808742353651",
            "length": 73091.0
        },
        "id": "CVE-2025-52484-0cca4d89",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigInt0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "217010835351934655640735706751813109122",
            "length": 232.0
        },
        "id": "CVE-2025-52484-0d513f63",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_IsForward"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "43789926783932047413458505165268309125",
            "length": 36727.0
        },
        "id": "CVE-2025-52484-1080b754",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "49646267217368700552427493900197325506",
            "length": 43794.0
        },
        "id": "CVE-2025-52484-10fba36c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_18"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "286787336212878774162542439812866864434",
            "length": 5132.0
        },
        "id": "CVE-2025-52484-12262046",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInLow"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "52399942835992991989442149271140929803",
            "length": 1275.0
        },
        "id": "CVE-2025-52484-127beb41",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "499924919537416750141070354553035738",
                "172048518819336372272405053024639473744",
                "177951594727892571339029658512964318531",
                "43539275134073168407608027009154844927",
                "250030478236799028589119642692835893710",
                "273771664148303052064282587472301171077",
                "84612714392029706270581302052695136082",
                "15103739677049227074447078169848184444",
                "99756871742113158285082958403922891606",
                "334876475394889649105838236709880468318",
                "68799418628141165872575651702364837860",
                "86690351344727543097718955908970561388",
                "103395573611486774543858385692231502987",
                "270535614770031338020377120692431025215",
                "104624973897181020518771104058619907313",
                "168655736508924271778900229882125564192",
                "331920409660165368045415521099733663748",
                "127567487671259861696491273797253389885",
                "187599384611162774371103960577566501523",
                "320192088288490591711435754902109331459",
                "85005160154299227463095183581020388829",
                "155503931618744283802509495680851519814",
                "16542100246677593479645979031352198410",
                "133845484946503831982899418963896852657",
                "197919712886823738786106117540032643521",
                "10068997767076215127824951793672389459",
                "267901948032667964668179894363428431837",
                "102967073932374699229563827052303715976",
                "21931231688603989368313870027858080789",
                "163000725882436668020585481154977002114",
                "261654431227822949758591167692647283373",
                "41439849429730510492099502592906363708",
                "98553068999890410827830276511792661117",
                "61143733454463817375615566727203553283",
                "144814076565721050555603097298728573340",
                "74373820387408649493642597874753799150",
                "164172595011779870588379161684355837438",
                "74393397500459934555463479449768250058",
                "241746083850679865368378526624251717465",
                "267108560520028046785750515724162603855",
                "144284476081695964085286082209099965472",
                "73132046223314818615150499297515461469",
                "219576145529926015141762656953138152016",
                "101279834650306418456702848948699737398",
                "187667919102481584890412018833688856671",
                "162370010516997328851005381841026944566",
                "131586838804970282083769330423641878543",
                "113095717431252877413595786782524886697",
                "290528510588554060813492688624823593843",
                "259022803430028129558813048209103613234",
                "35807527971205223360729405712192409218",
                "11891440139866121542616773575841228457",
                "161675673489177350608814653583983741712",
                "212598149148381352258809159583470585060",
                "11385533076636347523219610777887249654",
                "235605451640252218168187370980688491087",
                "332113965364535117740561239500318414650",
                "196573907632262560220428869177053765383",
                "208168470960606754094787007602724569994",
                "211474197580953666337194449754183028535",
                "225684224667375177434164803186657394424",
                "55374224006765187358389223505261704423",
                "204528515117610432719726691640232468025",
                "175723178704171666917417741937383442043",
                "319412715956258756005916493643434149676",
                "174879143456371584503697803971568566109",
                "273876227562177839982938817137108586654",
                "286189707924566473651928408274409924836",
                "150707133849709224381868696093981343898",
                "155118825541077248525421955607414029366",
                "238182132301252233273840498048148534601",
                "269223125245150218523866895793562316388",
                "70950681154236675043793757737289114273",
                "311064623038756010722731675028124931740",
                "170242721526782681801102462489188664104",
                "15441540185704473914777403537059733003",
                "151540996536003132583942095346179908292",
                "318980252792157670826648010406022756479",
                "75379074271716038224052739044023529385",
                "76980092061586597738935348753488752464",
                "179609581796563619760987105887558351138",
                "94071020775867333773431955754735785810",
                "256638762625712305027729174872974009238",
                "320809248331850428910814399355991855728",
                "264010179679500385658104928750221946947",
                "37059459796650572504131133575381560506",
                "124259679526673185030609964068829511828",
                "62957664308643072152241898700167889386",
                "209235572261386097043442191725225742514",
                "289220836111794849148022452673405328259",
                "21448206200381959090381451465018384049",
                "293705216086400914402577000592594503024",
                "242752785003254188033615696661004507662",
                "223920261129208012359627779203915853928",
                "128284140410062879999475799536221615",
                "302180453425742127546774577205998232657",
                "284181187351756542076709786314945647322",
                "174743829910793024766740813664694794800",
                "121084841354812807301277151803987438599",
                "139084822136963127210071106855541151678",
                "57913666958949230371617286860035786864",
                "40969764745802620793631735976325901826",
                "311413357686278387871548996253204841968",
                "164855966696707664260249260193480469543",
                "261680478985132718858291552553474621568",
                "131738128204236082221663885440143925233",
                "130606509295389514202352714462132916710",
                "182178433365669780914843518124553394746",
                "298368064174874953613009373700316330115",
                "255371258024852298216052801319937203070",
                "32892508088008401028978788737790358925",
                "214056068822214593469115702477906872594",
                "295609505234554058718845696498019598382",
                "150292336494536207526422811886788532437",
                "284135120288178870573228069008940087308",
                "65404448752028435878527520973202635338",
                "273433816411479095754301637092064988186",
                "44156227840072433264672166507561969622",
                "59092032006171541874288784680008981543",
                "256162472894573838832854936907942928922",
                "215809671200128618442765900448888817975",
                "186997108213906688381967069178028660274",
                "221231582444933291621641695811187038911",
                "291264778114431736141340202172677954049",
                "139585304559699476770377895186142133270",
                "230534142966827492581529957400069461351",
                "38698938618296348634266654749852868772",
                "118532184020942606531447192616530263120",
                "300451938905103164606018570734220675453",
                "174856350075322837308755766543718257064",
                "40960870249662450145978488468518509937",
                "296332313351155481450297068275336769157",
                "36049302459727001378407974703763350143",
                "269340946493732464418672952226522213575",
                "246171015696412264750762208929478846686",
                "48023228552742014669204789047516826745",
                "22903167475848278246076316398920007667",
                "216922040007112000901302315691364648322",
                "147369051766898391606563223701703984195",
                "19365693745348026644815456997169122956",
                "189728482687656245620819336259379153155",
                "256694865667835151403121466706746368146",
                "280760919418283210586623708088355251040",
                "328437004864456994083376725774126014386",
                "261398542654850928613772570555745093639",
                "138685359067725461410442826590414878750",
                "262117528625867635507701137688281101367",
                "131547354718280118204415939921567097307",
                "39792144353928999472744298688606698770",
                "65782390639388626922360069382033688542",
                "103050062606506201893213903066191779514",
                "188277047110736514379844629101840121959",
                "86937529591005232352198859897880458228",
                "89833337799063411709858968354509404997",
                "207874760291594454705163771965895388451",
                "284318437924576941697169848426811595626",
                "213704048520958091708914824371428940984",
                "94316607940459141925709380013744493778",
                "220110447031520650099242770639800919080",
                "235589863141337108376468679564631434451",
                "126967046045540674341895757835576898753",
                "290556659700835523511843867538475026080",
                "335080036255169077666594466081986876459",
                "291982677240845618235665792308920295441",
                "20343440231953131940206236594647158362",
                "298393515779626415334701275721450761297",
                "242333953901525330000216167215927671517",
                "126509751503550514615764580037599883635",
                "339725669280751247517342760851203934252",
                "249548032986667900941325210970351536222",
                "38378002811099837185742714476138250598",
                "98261231658459857224400198378613140108",
                "272605640680763056977761111164123559497",
                "216063680181315582662453524365717004546",
                "141039915804337229919959737608729706491",
                "285897191095057052029366019856592333634",
                "321367515127495147693224435525807724333",
                "13380243714205263656587805463138624878",
                "137322565580485794663997719084598003194",
                "229179591452557535824277423243727936888",
                "307088134231771290959560314610705978372",
                "101600159395939860088564036911424614286",
                "245543142480433797281269940604658775787",
                "92593576713809597071765220475297015011",
                "264263400942293911725720116332976706945",
                "206888058031197379000464520107295730931",
                "321434151627688065489759620949101204597",
                "272895502540326403162185830614175941947",
                "86987423003350529284508950922231818429",
                "307381981979625788612108826754646545736",
                "327975059199700676287047841983091576341",
                "37841831061275606798275372528600330285",
                "128552101398777713603706587541700976710",
                "245590349787684501369273187220894372915",
                "196801751906401849659452170468945516237",
                "52285874343489011733091794933999061987",
                "65453557805511022197268988877178755134",
                "265756904952137605019740591161503908228",
                "115145411154899464323753557650608523773",
                "272220149987622198018343177440328496830",
                "174703796023057428472463764575234898886",
                "72834525616704864958527873888945136436",
                "210913924473062675312936260724885917749",
                "188079640175386924429982150297084371251",
                "152889258574420455195081749774018812739",
                "217330343638918529260540099908508312321",
                "70697127112468476698261084533699242220",
                "161387331154897557471944223722629813357",
                "133310776979256983790845962286824706860",
                "236570453824558894278945234957786617595",
                "262544863079557986080370715133437942069",
                "140811289656273129477074666027366904369",
                "320783219670804225284291635744162194717",
                "250760634857762475901799573874646282272",
                "86853620764577728630170850183434051960",
                "168419231701214265917954130064472808084",
                "147055421406598592113091692877999912845",
                "149899045978701287451668367123564826997",
                "261523197773584607943207122198869936461",
                "131506637427115871347838794378863297602",
                "286631205301811213538498200006171536166",
                "320524578839386997405823939080151186810",
                "19314265916314763870373570484754925950",
                "181027105811982174709049810594611557494",
                "325683380188071044084716019963041137809",
                "148621610355678027861270895761468679253",
                "133794502788330316883746788207737685593",
                "84325401100343433120505319499919138803",
                "264796166559648471791838984870519834817",
                "133917817110209527894844404058779958972",
                "238258505958206506206993214227002963248",
                "82702514081305162770561297296057006775",
                "201386802504313587663125768450492559676",
                "269892747243126363302427775507017244275",
                "15935863505185879154481330670312465168",
                "178843668548987068500047445950119902891",
                "336475763571780448638224342972074673619",
                "270779940448604332574356693987991648632",
                "323481806700884286692513053811571267318",
                "109020689213292432520182657508837767784",
                "19885002677887789190877170024163608860",
                "338644233244610787095712553702624028920",
                "296973855240745103138979958468695882780",
                "173841591250348027914900607518209779617",
                "56622245023740017472132428945767280653",
                "194465223246332404855684641097606793594",
                "128292702576397109936050385877800548230",
                "316583831366678175349959984256761204687",
                "158037525951409871933481725860655825012",
                "211379517204179371752896511544245108656",
                "137970801358484416903734732162231310611",
                "19911285887661712265367623019975932634",
                "289826266448702208905463679255826689851",
                "132117949674683607552920098119211143520",
                "28504130045607301626170859528759040980",
                "209635033657664848581642220782605871215",
                "265516073886214756312087721909658042651",
                "209243142200443568038826612887939342830",
                "103429937962903099827749313104482570471",
                "100581143399397956268282282488607132739",
                "34560842809367521947993723942112643498",
                "181999457524635911095666021091193488585",
                "318843370546332899935004528103687409215",
                "92828838417579622186029290575067178849",
                "204550294602159362024986641248841788626",
                "231428169454685906314478323454006976442",
                "214878089942626195595393919431454603468",
                "168283541632687987750971897875449378609",
                "97645327336972593711792534080151187019",
                "328761484036663017389839628040731829487",
                "55219315558882580274404928369621334402",
                "30591854437401846427314774913201553331",
                "162251229240320828092106896751823881941",
                "55823559434583653598268687144872906252",
                "295576858982821791893319399498712106594",
                "57568830698037609143036633915905510379",
                "243029701937511703147297527097557560505",
                "30617175684499275069445364827115891551",
                "284078982578926787347820516231077716990",
                "225912407606246170857764183394032881996",
                "3900325129569568136048991754278456887",
                "33656417377702605611122804276394911645",
                "291546546244800806424226835899860417626",
                "251734140523210207891728605540523844086",
                "284622261521112487073687517450083042973",
                "312505855241153933543612533461039912452",
                "36685137712691285573963673589772824616",
                "139811881360161048266942204619569492922",
                "93997276577687013186295286992535847175",
                "223915419949912453760744768482297596379",
                "280413360100000462202076473763958402329",
                "305883291155071607798235623257101887160",
                "62279751107805870557161499893431311611",
                "82572385495106836560730363937492541596",
                "296434329919577091809835239590512266500",
                "99364800684590186087418743663228557305",
                "16038689428516089314259998759112281526",
                "262137750256929542490647655108759749732",
                "103442353611358129726891858001567150320",
                "232008365697944164230594341331540382663",
                "53768145932101376702034665839757552377",
                "87558840357841113448757703667544461605",
                "231621607441508285462632796529125293087",
                "25079230905892059984837218520734682995",
                "331625500359064198195303280655120732596",
                "313440454774284983295334766043589023841",
                "182165997227047497823210532001858340847",
                "47700735588054604490864097771766878362",
                "128543561830233361828863262661362379503",
                "320343242763634943797255714095282734539",
                "277880228867046035065441327640637244953",
                "21944594534895606947805029382366281038",
                "56163178739636150761144362988848271546",
                "15935559276138912510875065697901910270",
                "29210113095427329529507426149672950160",
                "11192299953898281350590423099205045552",
                "151355906556188317863375838907542980101",
                "4362989544237955747300555757282960669",
                "104287700764347266837291412929397830940",
                "262746944876550608851512208232354329578",
                "326957186166595235000433948459725933218",
                "73559095509939277735032138749533028861",
                "221704986858570082315993451182898856282",
                "47805227461407168227655607171529709359",
                "31917347526848788585658193482865862083",
                "139673554340587743229078049074832410647",
                "73122696473886497956405351036750251681",
                "248459380051258135687942650512308989130",
                "77851936442977859897652571057282419078",
                "243330218981369984393097567064360254150",
                "265617474728398775194590738741940705174",
                "189665940877342557402904682994548013529",
                "116548481153044674163783427116036970154",
                "233732180459508808093477414501722782005",
                "48426800969572183854737949682160389040",
                "165637006452986738669659923292877279110",
                "203079440384805373671864831126508980877",
                "291566227020631734970571433812894037996",
                "65485630086144655031663170843389222201",
                "85197969806261024616967681927517331440",
                "165877806028358978174151564274536135990",
                "112778931257971147622229546193281617261",
                "195042940379323905615939937069223699615",
                "128010336283153398750512323547045640767",
                "139582354739302452966996132202578812673",
                "39174427653140195306938907795302294690",
                "12234422687380548549694184010208000998",
                "37962343390672860729215942840577473677",
                "183006237962301424465398878844254323179",
                "184003762689458902150844840232981454238",
                "103414771349848241095975794577329652689",
                "273032919951782089891090452459659513648",
                "185968885584222054872263083004668074864",
                "237078667000144651209639067606731657684",
                "115804281729637310568080382643837234060",
                "308040745211323943414286241334272575684",
                "66217176238911798966400663547990694905",
                "36148938866142852961554607388462801385",
                "143465332692091682539715136215082422742",
                "328889793768773691743808237774707626853",
                "201843759791836840792354706083537681482",
                "194235512002653865347460062831594936873",
                "300176743831002470567529594409181392033",
                "168809607671509179892428863497532427095",
                "204042060000671946232791399986058143118",
                "276259466821296394829586074656533944014",
                "164615039804573121079354282336301220048",
                "208023768057362504613658362703462977922",
                "226627913205882606637311215029469731530",
                "332490216109117718775513021706309766583",
                "307562894662981423552966618072795133272",
                "92797059729060871814377903413963915139",
                "247302471390527791645639200118218874885",
                "2382861341142135621701804887126584274",
                "41451857694796926050947981897738136290",
                "236172670670860517307608277270581223983",
                "200639320343893243789790040421718974471",
                "42766281421506551488966240866647202493",
                "92469934846087028218182704869281487852",
                "90545581260949705070530556612372990430",
                "114876469421119339503487620647188490179",
                "302945848637133940314608598900808020689",
                "103249436712558419193836042575213620744",
                "126836924473807831166994977263614523915",
                "194599907413190222642344281001068660857",
                "150518776301318248694408642671286360828",
                "50227664501730491367003009815801644381",
                "121352768437256033057945464756700362679",
                "217759210395703310808312769737662028350",
                "57164793927316525608323898990557498055",
                "190231871863444269310949605133496790678",
                "144729126027173904510535805535494962169",
                "278815530589750314461313573391697197803",
                "299729264586680037235755392308288636308",
                "288188205973037795242086076273781854459",
                "218153339487062863212716525865678735628",
                "214823704171294380025774218137983889377",
                "107508860781601580008042862484942076177",
                "324238186485383939399998686369639672991",
                "27999905632891697324589378255745669864",
                "239709500886502254350538746829416097912",
                "214474909689601506082052379173209554460",
                "118195958537138432692563675823304720707",
                "43766353336214775867179649294318725355",
                "207139603021997438348112457720260518557",
                "217240824787174537329250075142852928932",
                "165482254725041574632172745265946269285",
                "333518453622230338810362964171612282447",
                "281760545920549458779846959896018192617",
                "330438181559011966564471691696818533293",
                "293501231126295144865984870539694447031",
                "37439432460492365671022921534052337593",
                "57547120049961250989224853876898186873",
                "168004652563136802251448907123077092217",
                "98286700520902285152369360290469327884",
                "163460097736234771908625929693108883289",
                "310200637885626893574493822976721487062",
                "107990598072308458796419270475908622660",
                "310242285046444933014524517523600983508",
                "188951611604559767936292680114175624794",
                "135159091543371681181762290933914561339",
                "299772704924612218354876760250047370478",
                "119217618803913929948157168909458796858",
                "140669925017428214644423008899175238827",
                "312435633140279187768142564024757458603",
                "129886270095455580596823880576382595612",
                "61844297386252415196319718374417973675",
                "141321984566931898156151461850891023039",
                "558742745348272855870025575188242614",
                "44008689247257131675545292638838953256",
                "91857757595958308020347827782989062381",
                "14862195519653694487813005917688756994",
                "133765732031112401081555500287154230165",
                "76493968907506167886305690368896408432",
                "312615390951516273702309756795741768668",
                "115947776818147671696090127910023649918",
                "171610026341973262884468823275855391450",
                "278834238020817431140958233405906544795",
                "117213999027378726664676288816462585470",
                "134412067960467053595848956160150473431",
                "225273789296669878275947205916860968469",
                "139573625671833053623618579360665413957",
                "221979994440120188995962458879366162444",
                "79759274141712183330433529336731471602",
                "294061503335600027739597459782488081373",
                "301255558510983992153947691734779034544",
                "318646508159673158911300922999807703634",
                "256089271422761783645814677992676681974",
                "248622291905690899193609250523325346481",
                "169536516278820486178638633120042389947",
                "326488754810035825666454994042050849763",
                "59682821750464733302256368673637316727",
                "308397089120218097168475475447312776236",
                "40556916869580621251262688035625607533",
                "36835278157473827126622162760030440316",
                "135996239687450557755332260659398618652",
                "275360237223054640753747519380675842287",
                "154971567286327839473541295877573588666",
                "161161666612363610579404596068805431168",
                "22538986485862509624675340208998905888",
                "199031438521303853632727773186024277594",
                "241729839360785755467497974799717257077",
                "287186510568906924221055318959687119641",
                "281191058502841854144882634456787101000",
                "212008542517859757300791284503637542679",
                "102565697670635861164699738961053397078",
                "136414435692924178811656463193971544217",
                "235282465557980211027379826366790074921",
                "238059668284515829662107029273581902346",
                "158233705036486477774249230277921154700",
                "153922450645987701630081264220861433475",
                "201747679518105396416958996772989147740",
                "321381580845924860084106744719418144729",
                "172025785715875857281368497207362793625",
                "230775186722340927537628955451414763009",
                "7461284852766485143826734157957424761",
                "65593606823409476430621896809349467090",
                "202312076647898558656704236784458996032",
                "158310376987137334467547997118579840011",
                "16208942818674942330389296072926962958",
                "129993940987385179245946616971284861459",
                "229686611769442835493601533051180252467",
                "151577415024433921834182549916855885548",
                "211397073305808052865740525809681854344",
                "173725953955901476999830015946970571738",
                "52736167124818179625836924351224068900",
                "227141965450597763636591885926343236013",
                "37629010005002589018314610451059441469",
                "69397126398726607776910332003200344789",
                "161097919063383549762978118777090023433",
                "2519263652798245393254039161983973623",
                "72264474267799722823416372010242607929",
                "91316208052129527929422413826931961000",
                "222828072999618363246251241614667381254",
                "177816780200888679611721624800607600109",
                "9516889808746277432263045466563447062",
                "261326000030824131150470814980446034473",
                "163064199181023441527261708439646452083",
                "203025565229795188330969859632985034553",
                "8972024222862952650087324381782692176",
                "172382860266768678150320689684505417899",
                "115236364250839019194267700388112992854",
                "244419674818336636578187321551606269585",
                "264241134242265365912292794325866397115",
                "215570537342443804785271842301742018481",
                "210983430940584330834371371593138054984",
                "55383423102912838737818127231236625144",
                "171236579335625380919896425745226620285",
                "136557779086970047287990380736053458503",
                "276270573879205050936934804327404137006",
                "35698091308195355667665727595831023385",
                "51431470686780754370355125117763056765",
                "172891073179576217538994370738265496696",
                "300558530819235473511777922097450619678",
                "165911746293485726412343013108854677786",
                "326709083380933197252786231326976359580",
                "66350622045609176932465740913128970734",
                "21948163426286834188979634950400662398",
                "266390881552177449038170455536067264765",
                "296390610981920989326194512530874009818",
                "169001744811583275766901542538900093532",
                "16851905224473012038944135402950073215",
                "307980561640387782058776261959935882813",
                "52666725867219079612086431764991344581",
                "107847415442288136430159869369991428551",
                "282916334606308681980422110596202236177",
                "69165210743698643985155963189539175949",
                "199276379991940642702911905586873710276",
                "125588007858850503726456256677868700237",
                "324138537421859450435399083896593588480",
                "104063599593905893625078275178616996516",
                "160152891817493946718461228740421173045",
                "155316238469464777865774584003176424589",
                "63096935882749094090815433000806588131",
                "9429675663853564078420345268520573217",
                "275760099125051949938226589785754968165",
                "161984839892003285789062641485233285717",
                "95341006152838639543247780351023339135",
                "173523294751338479895463116210133098050",
                "44451148603477273788218373479755931091",
                "153871417869388632172674873687129019938",
                "260755021347685971767608114654929817406",
                "41711342122374495745085256371766271216",
                "223039962078858128219755666878790074043",
                "208879689764197729462247062014900484148",
                "208804108855385852194538337882422008896",
                "95106738293968266396798525732918254716",
                "139054688988989291922701626520131242744",
                "312469365122928557426249282571477695213",
                "339490530272173090430670306300271501916",
                "289247697284252042009129518561680922606",
                "261365314930691728507229568069342084087",
                "325463231952143643969594280677740296300",
                "35080238797508845594067978160307588859",
                "269035688613610105068676391233812728287",
                "132095396275107915332799441783756140132",
                "256096084013097884697798602067639605992",
                "75575080837009909108654000228933138620",
                "101996392459126569537765401657058375890",
                "35417154027211294510592136129876495767",
                "234702867858077045084197419636525022776",
                "28849498145808438170530828519789057347",
                "238508905900799217440731636567409361359",
                "165605460848443214457349259029282664741",
                "137011460633408461508063184035165185752",
                "156436785722829540379059256542889013876",
                "201822235357034570663077580713547757949",
                "333450890858245282879709519311431265223",
                "338446205278747121052431989020030771757",
                "120176139472867123547902065303858585414",
                "324069735904035556920413706746371744103",
                "170182290603363747862581040329095896487",
                "170857336707968837123642780425757699948",
                "266338228863298431974248092574547706409",
                "217700808139512580136440851611250464981",
                "19412314074593033415076776334811439890",
                "195250400345051320586603818270877019020",
                "78724924390906902696104041706652815865",
                "70553211362378149986624634664710644932",
                "266656180924507800943662884406720464311",
                "184698496035456681988581433830944579153",
                "221695398530891402931321734621530506995",
                "263741564465461542934961646351678356746",
                "214168158241260777108054669467691494061",
                "308642666615480254181330822825440578875",
                "214041970666216118781626068821204187735",
                "13462378404250737556060223661141668828",
                "306507591061270353117663888985407357792",
                "201866938487711358823591542402655591817",
                "154162197855651540171141264362179270710",
                "121446294496343954785914492603209052380",
                "233138287323833941746210788666368088721",
                "237359389618594011040825330922761552985",
                "56328854558534408352921283798746865958",
                "268278199321207931836306636256134627984",
                "68537853884612538997230408819613527463",
                "145802536346294754853248668436958153953",
                "199566758573786156592378200816670451165",
                "218532846248301623371943315717691090442",
                "323262148007749213174892917292657977472",
                "292451504330761156916756048956692956734",
                "152103479924181660266039587725456240285",
                "150398981273229409781914083359849304267",
                "322408415029746142591365556139558554034",
                "112284173196575364442770158475526972844",
                "5414270796713907502724207011080965045",
                "135520862557652606961757496861327897335",
                "136470944490230658130880588038872202669",
                "6852726403197177504047689284459049588",
                "291528355242579470479697623577130014929",
                "13416686008698019758423713556809426983",
                "203324643533840489242034734555859446118",
                "81629800853969227746513802936364650843",
                "217197973279201916971384056868331935208",
                "331759698472013091023802239198976377533",
                "122717173085361490219595170761435130793",
                "77694570649295538418640229200586209662",
                "20114631806642064836422227890625409386",
                "120099552516234308751044366577181780110",
                "136246252810834483510629308868656476759",
                "124182584663535266371988465924270269040",
                "209128087171531405900496417743209392104",
                "320920326754054948058665437679916189159",
                "277816964994822359231628817884389758810",
                "291568253983133123907075262175964972644",
                "207205807842230841448849029104461217267",
                "43349652768773519281543790096989684432",
                "51208288151608823954223468776296692447",
                "147264903332370084252490025020341452793",
                "120740123658112704406732665398816481208",
                "97549508276241698701942101158129218839",
                "126723515198882852999050685433888306169",
                "42936592443836689802286089019540763395",
                "253903067780599730828936929742192639787",
                "89048223122148387747058865904011383264",
                "178355508189333675022814484537062054005",
                "320363660944949590547215083326914117511",
                "107259831093124137293326226836025147266",
                "98101199020850699855970089808821064275",
                "335214080490482341054507289796477877206",
                "51254278744818497969092975291617183300",
                "221728187085599109754618184197359278961",
                "251599533051289152787657488753732137402",
                "184986224138509008859144041519281842884",
                "146885934919741586534663070394098016653",
                "236429550181309791103821054569120493435",
                "28936670878404433508098318715298833879",
                "184599282531587411603861014214868647785",
                "71807645260830443769933544011881962900",
                "148342202763282467591370118958354777403",
                "284068131040578402145145081211314724034",
                "145549630324467542214517661010332866658",
                "65695114485619061063597625727565218516",
                "335496391866112841118503916413176311887",
                "291483110573573970482969723293168918233",
                "103385792776938023621642393577058343844",
                "28237552463180719571559189592671726910",
                "226277262727307540138777480830130096241",
                "213944745474448252830273408636678762988",
                "59395662982153343349541797185796257303",
                "5516020960230372354434426954429593077",
                "165699872971060309792667483602342155352",
                "59756607396101408030787344915027241768",
                "212288100839001960938871320038944287243",
                "319231475775324700618272595550636516605",
                "165825410720661039803247925106563408768",
                "258272358390366473834381229009290132614",
                "202490577909506343078311146145722214633",
                "316351181030670392247945033700165974609",
                "138370444784728042923736896469760395553",
                "209894725041022977702100274537319791271",
                "157456869510836677319703427470323045601",
                "240844960302522384443149103014463939530",
                "179762966060182380843707645421812455999",
                "38880072123162438060736006306631711068",
                "244244362936390770267189478378274849196",
                "254246715434648131129883186346844058762",
                "335211219987897993103025444832121592004",
                "54246828785096143559638060623641231886",
                "160607681371435414198213612446700145385",
                "227651230398607237000876537853602434315",
                "143231665532775427096359731889691012386",
                "169702278612819262917917057920054246082",
                "178917502175529083032114377830059563998",
                "305415147550721658143253801627264829720",
                "217042333681366756672973687807641637375",
                "222312853888790599086167070004545367548",
                "225111026613382096179067535741885207410",
                "166697953651127297339126796665136935917",
                "71638228641407561594529395785667349220",
                "241709854916727640052453047880420250863",
                "196286290981782133971145610848452710183",
                "102149888235189951957825591879038192335",
                "336549696433181689559881887396636065548",
                "273841534919090246290368376904323022453",
                "321163915357118792276017245236931233467",
                "166178186068610092145535975185839865960",
                "231877316794571532397193541552592838081",
                "319237295101756785384878981404927853818",
                "159839742816844177651266514356168115366",
                "328771528187610156670186655690314240347",
                "1977682629838505265559572127538463982",
                "140758087267404398501520219631042350963",
                "269286936554847844995602621749841341239",
                "235593863693124769492082820273628419520",
                "6119798744678283189274771754218814144",
                "88558504798313014294146873197554341808",
                "258173726755387838331908704080936049646",
                "6789961120742230581534541145418593653",
                "39851528955408279330827695105793494528",
                "22396602014435094820463562540084207466",
                "9087969726732963106539906273400039564",
                "59749265329634125162168980441398161481",
                "28161198464593502776425454781766958044",
                "338455646184394503578361622443933317915",
                "304253041358336098474464024029644053049",
                "121853265054938279869086931768643737197",
                "173235689278605506382983864696772512276",
                "143553705444566519366687554286579345831",
                "242170893959775754840009396427921873932",
                "242365382829279889639058793263340295026",
                "232736106430806477781948230509363676122",
                "143728465319744152239732503791703240893",
                "123524878963280691719194780257554056887",
                "159999292550598978757581450623842486085",
                "113125774470987439693659363906713071149",
                "207682021856519878299570400353803856395",
                "330147818966833115739305700245366376969",
                "292818179336005078298954944419818368988",
                "176574806662693626789852725187500703845",
                "240255005241544710988219288909668705072",
                "116646544609808770756641088819571692793",
                "213139637918808197833297654700468676510",
                "164799532996885167160192400209167896251",
                "275498314480063785704621450986784400675",
                "231995019273206029128987527066865761265",
                "262336379235687881499215237803984068362",
                "222732015125068470438620173394892360060",
                "233864736806179209834913538611404508019",
                "34812853439625702733656122352429398588",
                "280813995188956592021324177237402562287",
                "108521363399401658820508591328365780175",
                "99994831283940406834561234792097814967",
                "228460643978901743484569088771938082932",
                "218564356112737827787021957261954618378",
                "262930972934405498057822315678972965932",
                "174104880011318249148310981694571732446",
                "260142737274294965416902185635371287621",
                "291600201685096089827622081185753621548",
                "330770856064392891567852037426199558426",
                "234711318107222492666509274889375438835",
                "195270342703974868794473246177940741824",
                "248670452363206183814413858861790874745",
                "104881178735266905873694484631725487963",
                "258927793278878706640989891141122859631",
                "177319758150327479978532722171454232680",
                "83595102069844072961679641088579196098",
                "287622868733875658147390053966854185262",
                "293964587679954444579533961561887218901",
                "77670685365519227902310276314467536372",
                "53673088506463245579804884259264097729",
                "239989717411052136873863696019609728641",
                "124441672500842527492732381489743240635",
                "179135454690190830504931775343840577118",
                "265820836114271163510698561758979309330",
                "222241753422855921383953568858545901235",
                "61652832528628259504917567051698037477",
                "333233419353115382172011401359048632377",
                "45748957122210678952668606671601431136",
                "198813450954236210220989081819016648631",
                "88657087066043965915736127906042126376",
                "91223699281273660484610944724237868354",
                "170659987939446035730075502880717158429",
                "182178072181182384705949094694408282142",
                "183681197861339659026959230928757419572",
                "120859412259178746832060316531178241970",
                "95606592470569469682368055442690508612",
                "337592494792373047456601707437921347173",
                "319282289775014791440446749950567065182",
                "298517746070948792583844129318321751119",
                "13529352305997620997547668079319421902",
                "307458618395504856371733266627643084471",
                "110498643749668142167236089600737585747",
                "36506427889900716102950732965546409194",
                "99774982254235187797078805349448584181",
                "178580960020803177872080054018748759731",
                "164797703463596346017621044892961723955",
                "100984849938202661023583022957228995192",
                "65134652794578687486897715673733332053",
                "326374178700657953891758503393534589092",
                "204836010674229435470719274104383746745",
                "136297805859558337833743480739221485522",
                "199892299371282163090911808822517431400",
                "75929808013730146680097176827145664230",
                "168796880878805532595426319132055591645",
                "210268537523099372144286310150180491678",
                "318571458712141552364000469845942591067",
                "290390930329644140962537466924304228085",
                "100220053129845182736903204594224447816",
                "248092337644502020028398199747631366044",
                "101035075199267515804197953501666834037",
                "171016139465282059250018301797748296668",
                "332728309981471392826671179873738545765",
                "189611440586173844571166475527741703072",
                "307899434150237468216851855465560857468",
                "300037958317380930113778710360744935652",
                "133653043749434057305610994359159165533",
                "265480718796708825445438570767299688887",
                "219026399872971808374400002432984590088",
                "13778482469508634285601244394042449972",
                "333092793539438792327333860966532463380",
                "182391336333184742040340159785783311158",
                "102544404559540078896761699495573096358",
                "207103709104786878323112796470703209925",
                "166293265405573147627079822354056968138",
                "276089190690455551515302947775559727961",
                "243017732463850875984976455897831583365",
                "80904254777399375956577722919620383816",
                "230201205031293652863968951801323397559",
                "109791754296846955222205494709577481543",
                "68578962307603431134526780170358927005",
                "190221394208702060674507559335745916241",
                "330250594326662021046538291563947368296",
                "9220102857645450339752448318433124730",
                "41762869267972022473736281320030535873",
                "318301709814878671764816760649863671941",
                "85396089965403451234103091416912157079",
                "182036560993657136292801554585896272487",
                "23439841612265633276689540352959226285",
                "288337996396930210135462045877437627540",
                "99946515070555467254946412027209579344",
                "232398767578333670093723246126595448740",
                "208674001201271693685379241951457277131",
                "268557901497860262610688465471015668908",
                "327313903218217073833122763488904840887",
                "39032554607375843736890002700072779354",
                "252761573273836042458033716141122871035",
                "86676638044142299870533508211921044661",
                "306403309479484244604398151236465141645",
                "312547235706267497282628027885128166322",
                "65104717200468585068065034315457553859",
                "230269059723830265416542280584936310412",
                "155668229993916891520757157486137283918",
                "157657686049904369675904402535503066077",
                "280999199253992091150506225597137060124",
                "312954233981498782581304523698934061973",
                "337208831178575701972498300696523553245",
                "321208026775828316903276977732027677433",
                "264090851747071413772570810528517984525",
                "197843897059421991208492778293524390845",
                "189793552526123331985246470436275599229",
                "266020789087789397084795960194996906141",
                "170341019591366493995108187325609262351",
                "307812694383922582326776586556231431092",
                "211341900822038365614156623678744229169",
                "197911657413907454712218286334909354730",
                "282744487693994633741247378234529216683",
                "28203320765289533394766164376233911971",
                "238238590839986784137697912932357579307",
                "216501251709651277735012480986670797972",
                "294294474368641163293164860757271262672",
                "123530262214275345527217038506658241775",
                "155926403808312509001894175826722664481",
                "324558379249135189223193036167996088513",
                "107173563848371266111189352001795186306",
                "241685524845169935428599810175856894924",
                "210911836682519640640244283314282115374",
                "28865609821301973372855708536723501495",
                "154061206936880311627697654607374959692",
                "145147179827394669644233377727319274658",
                "185276101228315821109221248364848581262",
                "76992289868974972673422991543057350569",
                "297976962830938694795814246716811621949",
                "31951584165124504485804698592009387518",
                "85155300576889229806829444175037582445",
                "309953946921358067725012842178377470927",
                "181584166454003051714441281385677334826",
                "80781151255805362971180787168702175157",
                "127066508402714734799989419078375583340",
                "264834160558723857957343145645057952095",
                "325874012849225920143985290247288780872",
                "152802048273345618957596249139988936701",
                "164968058845250516163299844950712787204",
                "223088596463941249067341964560935926597",
                "254503629950334906306083535682063292331",
                "61145145685723553527899074404584918137",
                "266909735327987865518507203167145162797",
                "230895992902568671053299831798651607155",
                "216759599930922511679098039092647969211",
                "62851303117247163575451903869646491842",
                "311364132656755375233788509907599898169",
                "4014028374562104536748064325705461610",
                "55303009387356098203246405627971269823",
                "335538346497057976583290020892342056496",
                "317912722083685984324888120264463123080",
                "168815115429503399424692366379289575468",
                "221402225346621530213185205290741457015",
                "26898394929876144730343791282648141397",
                "261563449669104170100718943988775717488",
                "259688684890969538002607222965059485186",
                "308274389728286800365298362084949999202",
                "318714523389639540129630131846374901281",
                "223660674898138859812302711093705616610",
                "183485670035236255778731151447592695432",
                "147068496130588579296337907007755274626",
                "265976481898904890768458170875855349657",
                "204870163329987835398383340954622031727",
                "214912730578716726692639696774763162788",
                "237202285207538675773306390258087537845",
                "158249958755708829935271992464435377782",
                "140452782489236830270725155803175045464",
                "191695411172926863729048589382476170837",
                "13626789579674830143088765302753141004",
                "323786659547361842223114095869722910931",
                "297093469612667370926606009325847657912",
                "96790496273547444505295756219323529891",
                "275507540932718192681395635418743628054",
                "205459235445177272996406895164333776343",
                "155778036143537290708406204655606164585",
                "304389229721519512264786390697998155076",
                "54086004685650090951824011893401197213",
                "267737997104386510651536345732175990541",
                "230713851415133085984820086488234555607",
                "242368170711407701585807140887792753741",
                "110545487740097631786835467565872216907",
                "301158513122430957285926659729363763709",
                "25671471516143889479322511098111483690",
                "187597629872146801374864125980636938928",
                "31571190791135379300613077271566053555",
                "253246324221290700718109234931029782524",
                "136301108495135882569183287506927060593",
                "80637332690034408838709596503204328453",
                "275331005784925059747739364467843892715",
                "193039673570406127499659204081774644225",
                "251706131290225077960401214838997237484",
                "71136682843421173941479642111059403935",
                "178131919634570933523522310653883467076",
                "18130556408654357075338855280762008719",
                "229554171996149480995631514321322593717",
                "135208272282182360164560899876240362652",
                "51511586603795332487698314579930915939",
                "278677900622439503220167741358065875306",
                "152512254403420605131731321056291720634",
                "10008364632513665903884747988039394310",
                "312130507776711806734685926736275337287",
                "137639140090105245293850088863220129769",
                "61797639614766886767611876347026890557",
                "76655054826353091074368326568929422827",
                "21797932493286874824500017666546241069",
                "269145374614564038773464877856387312355",
                "193921378650456599080945381756509072085",
                "35807405882142695149393584149724720510",
                "114192386693125480265671451447684944249",
                "127258062454781922082180282647736569150",
                "81826968817703886503615779080466554337",
                "80163332140611475650725423076366360977",
                "102081306571377800875226106543894710267",
                "2005429818870905708799215092382361704",
                "187487037657080687134527021677390124353",
                "243813047916270188137293400706836235861",
                "131828857045698795424301195304183658315",
                "5168713078738096283428930963478168488",
                "226441380206242462462477395607166652742",
                "114544423989620048523569783241857297093",
                "23395537766039987563282287489743661585",
                "302745644304066329795579180462472131893",
                "11039910664223401815955947357068038485",
                "188127335983390914915468324354767872471",
                "330335522024721340540380032395789472876",
                "197209208853039726691319059115481383778",
                "292088863395787084166467778287555919847",
                "62164818276291428805134864088515432384",
                "163354468128727484062815637557808006488",
                "106517388005125316735540312438630326087",
                "61660990223975756878141131299578360077",
                "275320276141954801917125310253402583487",
                "315493203826725322651797388458010043427",
                "264394325461189299719226397241062402473",
                "25092389689970579923477805466264607342",
                "277118470660136470237723542813405964019",
                "152942620275440244565607666971952335067",
                "10651121825213739037446370585104368563",
                "301545545016677647988935943460203319164",
                "129888262075333145659316127266275284646",
                "35342403093384199312909275282679653465",
                "335681372423510930339893686044572048681",
                "48346180759068377313986582371149681595",
                "92026162529245101733260731758339369187",
                "339430737184424752337205193819892726503",
                "293898431018269718373870769895570696429",
                "226769715434967869697537842035852078328",
                "121962645521211620897703061201150257881",
                "280106166531041257267220154794441392190",
                "40681234006863241187120583550340661589",
                "122446322960969316696598701924607054486",
                "272969783817470062785151583955403089688",
                "176368990354685957692699850544471443477",
                "228763364430535015108482770854862842748",
                "136419938731164420879694279016958319893",
                "113113420569642881691485686167187335108",
                "221426177922970537141391706037623623728",
                "298992505721804032559993608770714099011",
                "198359442732054884204112364521299741184",
                "205999636870092421224675237309256629343",
                "215093277757868720883179461910189089696",
                "274088711174726426521810861745440229702",
                "231122213279770501327741001607005339351",
                "286761126300691828816309829479631562256",
                "187122080490887060777201611484806867629",
                "39104925616938393868196239176903095140",
                "264541535761619675360850357997129347178",
                "124226341939533615523330646044563737683",
                "100900767929672593631339364837877254727",
                "333395791064311771263170283853583523589",
                "29609929293191272595185890280528771820",
                "213940510891231666704719977999879871236",
                "219876363339400039159600440591150245750",
                "255328816756248726205064109592044974355",
                "82848003068205693301400417448814244023",
                "19747879588462410853940527216138491792",
                "72745364887640265105163734478329403504",
                "101185592810444742331196628272970404026",
                "234564317428802061978438783268059410233",
                "212432908788715105864936885103734348298",
                "185969948669443414611922454237400563813",
                "313766444124320493548495640466908579325",
                "263495813965469414193362923290554896894",
                "94709695879448014899503491550629575136",
                "93299806831534008752613599042320772108",
                "138591969879645295028324759835877470413",
                "7297524891438526221394176866146931067",
                "45019912236716062886370822597005847409",
                "273492380463898977091082379259853602742",
                "30076868267539541569092050895409387401",
                "13674527415495104129641269954229499567",
                "123584984398455343019429171690063855598",
                "246938981896578294783089570202653522501",
                "164689971472402748431436980276832697082",
                "66352907718742987395333865927976307021",
                "10337610686192258113111051348367910451",
                "62370892570396794989549994128165754797",
                "315972892976160552171431835412146973181",
                "111213957241732165703250956780495491558",
                "262431324573007362472013987228179358155",
                "278766755753522104945420996130191200920",
                "68024531638358485913208293866155308313",
                "12844788321421112132831959789890231408",
                "45788821806299285976742183872251097199",
                "143351281699931974929269111232506771623",
                "117703971303117651614481071817609207607",
                "108122547915510453641281430613758339194",
                "86448947339992866669819490577212770422",
                "5221224215399306507657048275200594843",
                "79754470017804161786567076811694309061",
                "288887163780178720099213246745723608886",
                "266213968089011478284318094086170749674",
                "42588104341153898506061356053987833192",
                "120363937903872612682334089865782435839",
                "103112454364914071351879295779396558473",
                "132441681453491505122928685524854625679",
                "263341744261973055942999231330753236296",
                "47671906175348371057819406358920521874",
                "184529907441817164416832528138102127989",
                "332863517471231125088124006854703991636",
                "38305026503528735692903266861239120656",
                "64536646765358483137910132330576590677",
                "22393716999637066970017660975102605251",
                "20524769284998061469682679290987153529",
                "148446848524631404024539153136301487134",
                "212415303479846592873495177136253403287",
                "324616172627230866529252842101067350640",
                "87330126144678708210864307152567614547",
                "293983353469189385586998400906411610285",
                "39109648525458653300265669269882422835",
                "110749453777548345865646257373008519952",
                "178822860665097086701954133782121439315",
                "168860022859741038220199451890486301989",
                "41455545572908237363937143782285867086",
                "308201947618085941426547614571598031622",
                "74367171774482631039640927147068305560",
                "22348890469097358559629722146582759123",
                "216236521644399457239510847995641760043",
                "224378141776860015723121189327453077145",
                "3229077044391421510492332506150256089",
                "242937516475407038424203913321095461222",
                "223680998178147844167559557754269964094",
                "237304081982737393015340440186656566336",
                "136759859455585055827048038262194182227",
                "289924242907936140583653128570436717512",
                "22415269009716531118346731157670791904",
                "81078499426077923606474022642787454190",
                "46114580487345720585956362327963651061",
                "235552795321087864353839261710014145200",
                "113077362257429733182980683376879278040",
                "109919538587009326420465994467505722102",
                "91710151039770450367533382840363652004",
                "268607792098991599321478549304463625822",
                "66468754870882600515369052305749525485",
                "183102014988991365057138355214045079360",
                "160150751161738759423004879321804777219",
                "256191842671636665837733463403951239634",
                "122362075864088118791656155162405004583",
                "105632449969970617931180731771908908397",
                "6268065656765163833302881251147016729",
                "161514565993714237113133312812987659520",
                "276399511707229177849316954774628071333",
                "146019564395433810897497542806342011330",
                "40544259745192310555944381819939945703",
                "161177422683654276068419620582859829665",
                "70278336922505142314008707017963331418",
                "297680981900793625385340980551680423432",
                "223570008325297947767951544445768637120",
                "207255306384704441256029085856838104879",
                "265968816688809722887379582501595536581",
                "135754887492789860197898320883541718193",
                "117168763088638776146799510963767564210",
                "10763374609153595097394341731055618859",
                "212097770931767876671106003063965315616",
                "123963185480139290184656047548916296125",
                "130449882123202384392099766617108682105",
                "64947585897942993295292722430987965097",
                "293041754834877301709255607553760982939",
                "231002056744999696688758699958311787791",
                "181771406782188100445373639751937628332",
                "333607800219265355414394548056745500986",
                "219530475331053183334061706226538352226",
                "282178133806899315556359479738410907917",
                "273507761555526474134277086353807470252",
                "265310092493840111839573440569169016923",
                "273024055002556051578421158075333612167",
                "229543478523688562459333793216071397639",
                "333800337095304437396043181261246628654",
                "121541905419705736083427218209951533720",
                "21648861278077709185803906550829405431",
                "291685930674915482534752711867055552431",
                "255168181370438889996134137508068094941",
                "34195189948967091188871273710502205747",
                "253066865062525823721599346007353054599",
                "291717263634249331092486126309419460975",
                "197292867933737672221148677726498020608",
                "119079693319884695911924130515629058443",
                "249033965122677894111542259998669988632",
                "170015511389155965879653950874048452421",
                "29726523672011534241912290301474471776",
                "165724211445356088119672492937275234996",
                "162104769526544893411167304100550819270",
                "131770101501016034458667685425293238937",
                "207763189587343166564102542899175974604",
                "179870996179912459417972875491459266339",
                "42969479751872423089377209380486440409",
                "282609268247338374136208394793990315737",
                "242794430906149399169384097393228042050",
                "301592683014918350715320327051008092472",
                "151002279167764502039085394254894406404",
                "324976874479656003354515790235651197340",
                "327642694978383040455862910665226369150",
                "214856878575000778670799613729536397863",
                "233944929719883164876798888912477948359",
                "245762066169043298225732504494170748251",
                "326637551662119155993596832398683693485",
                "227307134715714853466328892493357369297",
                "55480431502937243006732744736226552397",
                "56866786729604759784449409527707114162",
                "113210468739884620775074259246125711809",
                "23188538761092803892521571926191640567",
                "307792052422001068233383252235714666293",
                "95561781437329100600980512946023178901",
                "245778056976003135875945829791251753958",
                "206197794093019540156874540661319120778",
                "232785334236218768623437608823641528509",
                "263490906797063638579079093873935825495",
                "213575643883379355332278520817054928989",
                "215231290861197740879668343816297317665",
                "296680284879380930044676883277822478098",
                "278817666689563855767661724650058417262",
                "7791488625382678859098468354595285786",
                "283464015461472659053474769615467650133",
                "58719795948090915429741322364924546960",
                "230234045178146288644425520500200411132",
                "128151621123838566835931420559675427942",
                "34467189767679474147689378242194510065",
                "334161081860799967491771194777048498256",
                "5311459171253448429607464620755982090",
                "293068953872286079199429007533137179741",
                "127603301941650892651120463221734816066",
                "88049544414278430591509441562544779184",
                "321168653880365004659724460030057525049",
                "49404316374891701625686447970083189155",
                "220242701341480068660670809999983109471",
                "304044314503737290822397603643285360603",
                "154218012431584071323519863679747260369",
                "222337707019784040922312729184421117679",
                "262423412200200408708754369265913895700",
                "321178454136783923251085504832688820507",
                "13846970431462692048122121945615756019",
                "313276369064355479170283046394935280590",
                "267856399599356716836891656175729589819",
                "107632242975310828925855654994093051498",
                "253760081131620993579655986491466686345",
                "160418238381773931973155264310188932943",
                "295273709848141210739707670242942661310",
                "19094361481686678487106289960241205446",
                "137368678306395327525426833497946718562",
                "100988496849527062005703717658633030110",
                "189501275050972323327039230829955891331",
                "126141795428590904305995742625237331282",
                "146968506696809558869272896341206155473",
                "94883197409937977695171838307171040648",
                "224540163267392616252078612677882341508",
                "193317681198580215927974115577653517766",
                "202671169487058941130913625726802043665",
                "335146284258589171261235669820810235565",
                "325635905798183422145424138183436607222",
                "292904926574830735749482846425299345101",
                "332535918382915572520359634262447038608",
                "181983852928796388427680338800027733210",
                "254177267000809946674561794593330712155",
                "42117215762331994438265094928955485228",
                "160867100230839969638106409592301671867",
                "5263557802467490656593019657051203998",
                "107217331380040375447944185898830235782",
                "174196048002493079174888194892196372043",
                "83490277556213097397767812055450355846",
                "33981585396368658651643961853407534045",
                "134566144894535440000112657172093781128",
                "173039193659450026103864662974951682609",
                "33105323093308716539439839454528807581",
                "296984544401105706100856922907028217661",
                "170222507092937294194532721441574482265",
                "295912640997484618579084302358414339326",
                "270054560592626814732673240668743905483",
                "339210454810837073096545123036633491479",
                "78437302096504750691988882311030540189",
                "290271266675418709233942218272687200097",
                "99197239236838305772268961658986017376",
                "324140906887450512233463204212755086680",
                "173579180379241998134406632273989798730",
                "111922434083165024082318112259403502980",
                "103455236149613795856932627544914715370",
                "187690834554670823063971953920683183371",
                "114064372838320148101471003473954329540",
                "124658827239048791987511060324236781186",
                "91641340859497809504523126926176891908",
                "227224696592780761485720063242517723476",
                "194044313666373239831951917937276007171",
                "12757031821690823238901526588993778576",
                "15322806235413864913764908309694802034",
                "75498762247244955507114597690130398829",
                "339383788112878686095088667946306084227",
                "266922873877357561464722438704651096772",
                "312584610105874106482701079556984016888",
                "129806121925380911511618375537907343714",
                "236214203590590018597738511448854191972",
                "192308712984075259439734605499660510419",
                "295171978286945010277716165775899826912",
                "128832460382669809199537714265166263546",
                "117876084966459827482219970250654205987",
                "7024132419677871727252760661405480878",
                "178876457046051590236343924717104782211",
                "150739022331345496750722522510238826051",
                "106669376796522250358490773095747853694",
                "333420198280427164352598547040805629375",
                "339104893292012297238041458400451783987",
                "249645588010136262236056864894191908965",
                "313872755389823289394978677330989890638",
                "116034392698649678560588518816686390411",
                "305764141600097382195139992343066657079",
                "205680102714920040528741212971519725444",
                "234651224063027833511474136734911954881",
                "160591480626301100895656295930559671138",
                "8509330140376059360097739004104186955",
                "36608803779265889179605493367997720870",
                "40763918906088048472020473839312528732",
                "70692474914657103325429775335598251623",
                "49480798640053483723811828983708820785",
                "54294351479625688465258615102610247511",
                "5591942171512219858517243824569038608",
                "119586207544375704833975953394783072296",
                "61053103580581448872166278446494571662",
                "242241819464008520962432666779839363911",
                "98141267111199910942097555983589477786",
                "41472231444323386536322167987224053822",
                "181373520203261994748844227519317970206",
                "95664106855101012060471111789519748237",
                "68494890402214308609078537730938766760",
                "75149518447877811011815897675302434359",
                "274771435469896533187516332442399984762",
                "279756795544785636265673059841811637911",
                "135960629891005109820657536304345145181",
                "73804474700777539468681140935577956562",
                "220111017596097489350597505271682037818",
                "43161352075860416188187085524233333173",
                "328467176496683228058171498921944038483",
                "28373354716494255732176147142333259521",
                "232621693362396767185483739744636047762",
                "51309506533834408745303368442980157826",
                "130031927998943428707854795346270587608",
                "313161346492849063437524640598722782020",
                "131245252824866760092775336014029712288",
                "148558820857010237497046177869410027630",
                "298226799771788609689128432652349817413",
                "146782835212651700239521576859078979843",
                "240658840447396318538323739804053936376",
                "321189050700703950647368534045512163487",
                "299927056855961654652409036388752926125",
                "170221536322679658926962990481804378028",
                "152758364535304408714609311655559742016",
                "264714046443812164082638357877391761730",
                "62819186874917145745650260391846511929",
                "176506600561436351640143451473969191167",
                "296721778686406914794126773257310351438",
                "224402540548694389646200099847466058700",
                "115725657085188145016748598328773886209",
                "249969441054188624169926380312568272092",
                "261846502321956317576154033544480950456",
                "106331283814325578214053983631146406359",
                "247162042586068587734486564285293840742",
                "336575914078148314668157194740409683184",
                "299955318420647816402247270429687130042",
                "121508334154321958870620154983753165662",
                "179628449129524409755696638848454897232",
                "256791818538255807846667377400231902312",
                "154622822176613313967405239634820689236",
                "249841381749220973619682043266945584045",
                "197433078206018180755535441293857872916",
                "195629348849895022285316989724132617802",
                "120343620326989674343641827835301067906",
                "179928149202351614479363251649614504189",
                "48405730067390552538637342433783217234",
                "337567608234911363059715628912474323762",
                "79438006394465755576606925732345938747",
                "241035304357090816593867240128296000241",
                "164492498234668894461500044951528376980",
                "10674607806717093162039801224934605591",
                "332103675458588253223882672235938346685",
                "204396794020388742427736585377100063042",
                "308007290160173103766343746543628353061",
                "29529305246807552583183343499456491770",
                "120131599011725487683648597124134657375",
                "185581115928129831381276296840665690524",
                "183992961140575843887236624602984096874",
                "88404116297604584238465981115133835626",
                "271752646691862068118583009381219075376",
                "42604922812752736007523614916602073814",
                "89194840770862020794819665396465810106",
                "274185558763051024810990538649300805155",
                "251763774004914533241085872605584893123",
                "291780661211777318189441554708304328215",
                "199344866989520987529358610800355400025",
                "285327946070379990658563994487028285461",
                "22967122906976584474499064607745231803",
                "146038087694459165014106592431224650799",
                "144095614946932931943781188516890064897",
                "45998489085620987376956964717407490107",
                "117274543055248229557324262659197119255",
                "170643696009230518304387442903978344874",
                "286511371648592831659937882648303934859",
                "102136260478530077574054978492846545353",
                "16990332231140090551362795937610323895",
                "289967983822243282906801280313758660312",
                "268668242060465453591348554398644984433",
                "183228338604866196167971159429589530099",
                "225488498774516232065295439987878749634",
                "284529623310901583456274583356116655381",
                "233874695324204191991667717972681940541",
                "195780907478698485521670320652885334096",
                "140992150018177767197974131338193964628",
                "256753490351546241682635613686873279161",
                "319463718940861979217538622050140835037",
                "322037616452923738319520122687700339014",
                "274875976573092922792770752636125841035",
                "64967800266923858941864086433297630119",
                "183004495362286806742929741375627733253",
                "254392885916199885976342601558223864598",
                "339896438501148423532381873855627621488",
                "13847800764729242512941267484970049934",
                "118889745855414062077508954781724910518",
                "76106801166457251370465399599906068360",
                "322088982023653950018805681839683361594",
                "70415306123730090459720038828917122347",
                "188946274727593201845960134342361626724",
                "194243175947573804760771362174603888756",
                "305214876108637594047902494230832103848",
                "84560675069198915987600242114967737076",
                "40274045824656142074526844193253067997",
                "208161836753917494733036865845205898532",
                "31793705887805783648251464894206207985",
                "99000652423635314468096659421201990662",
                "267432005992808441267323149926836702025",
                "119774582056973169209929747181785319456",
                "158144877041530570276454281992265365417",
                "248853716339179263473383389651154062089",
                "22170355376528010712153515023629933054",
                "78364283957889136351266161905304598578",
                "17598657252540892880637429197142040355",
                "128303690392962204339084903539946039619",
                "276559835454529935492140413547130466637",
                "246133873398785040596963981533096116115",
                "306505066829677259165435605210988703637",
                "125836474220021029195702932548125883129",
                "273445867322910918757686811937118876794",
                "323730688989574537905923715946237611732",
                "42959034652752849637127830183686927371",
                "325635576992910207090365111949520337761",
                "333525315426064944299494037499182746521",
                "146089224391124993346824899697983237208",
                "12582401700486996429845960383387384664",
                "133399062366583883454849256734643823602",
                "4956274452500259146624021835014320238",
                "311149371974399027744798473403094549487",
                "253115987327706873920049577990133844268",
                "110798332675916109865200740595403359414",
                "65014388968149859906377605538782155606",
                "123074721504625730384756402568772119208",
                "173359190981397663376365219762406613618",
                "102125982477722730273322859973469992804",
                "132011204770145751113091337018555926030",
                "331116379318422938703682398742062281326",
                "28481387215703541289500461038238652896",
                "51702742481717181017710955444525833823",
                "72971460614779875998371495199505855697",
                "30111682239513625445219795926573054267",
                "290531253106263298066555297844287811411",
                "208714511475740562740494690633988139734",
                "120196610019064767871002983819169888228",
                "285290920103369150784245510098326965308",
                "49545631542692284143752840911425884288",
                "311982295000524537975950286099604741277",
                "98109039022117853491898185681179654619",
                "137553220065459734529161859015921709592",
                "122759909133133798476455592723066402256",
                "334115258250781402852372055513484812010",
                "118579930868009563158377806972823407953",
                "263366212973136349871056325415369724933",
                "293117084389818118955002872724231313724",
                "137640349174760110260718912007269394259",
                "110932992695551763292070638418927376231",
                "106418734852916476548062601703164346516",
                "93771326331299942367748500289302753691",
                "87734297759195148401706337197878746792",
                "85066649803018187911165920321006285392",
                "80859180799119238564573707623079350109",
                "73449633175497161148134927788908061307",
                "150925649544549060362059083830840594667",
                "166933752713860608164380957632899930895",
                "189992634211484720698195928542342037211",
                "123568425058556067299776727908102220086",
                "38284382106608984594421186152559122628",
                "98514251083500793991297901393284350585",
                "236467948827807637954868453980819092370",
                "76118450639479529733506597224270170333",
                "325773667449244768449787801405127234337",
                "104729706533090312283214768771189318539",
                "200136482932753120025434826355562165051",
                "123128464380423238543900187482977248962",
                "262866110554677646064168137077074259699",
                "32884299929306012951942735771646267010",
                "225660534165417772098470023010220980902",
                "224615696907470582263714500173657545041",
                "232012269419023819036792230414617745034",
                "39679798349392731464413649686880544225",
                "264314715313017057304141413156145200699",
                "147407179808894837826475718635725249189",
                "50638089780451640230664776883439756779",
                "249230405801406239481476612026877313289",
                "302354226493033754307184965980634403040",
                "194812403258432275988277327208569907812",
                "220711631606985349734258394103115286469",
                "33611146209640190882843140524869188898",
                "157366953322171876717608104995292271783",
                "249819343686395390053892659834006079590",
                "268624838368312459524740025100238912425",
                "50389443340568017284361657839873626038",
                "183922023121238352092017035803697619437",
                "220192858273256058008416925773443644075",
                "147325766540792089130012905930002950893",
                "177912347052275173248045114499584131459",
                "74774440455044932900676100605048330356",
                "288216300697109405193440291325731370024",
                "84882148549595141966381391874701326623",
                "315833267890783179851950268636965660423",
                "35346359203649714929716327774786153017",
                "197360246173988123434316506795458287442",
                "247155670833746379342925591238336583997",
                "302253490545885976847326323031959725251",
                "65115121135325334416892822681446168150",
                "334406266048416442368562886272917662486",
                "324847095366852858752477838566680944938",
                "170701855063743321137864879764040494258",
                "70816704409828765660127237708668375009",
                "19980093118419785461873302850215604430",
                "57248541867674423098511342191653256680",
                "293782460020434121759308368717660579820",
                "63278241592804657267600081283238485422",
                "295155112021455319430583812270372134614",
                "41740048383026910787467316574851072041",
                "129496766226567821934637334272675887203",
                "47931996623835054031612459645414315865",
                "72345903201815114944875629053087989558",
                "162513706984694040981566778024805351498",
                "266829960296171787777093894467241976173",
                "161811083641605155379076307630858057109",
                "162513644025750465047100993112822381434",
                "183061116552376595056788548144742019864",
                "7828541662307341389520309200789178910",
                "90362694706859239687909575346285707342",
                "299388484083852332676188986780745993328",
                "207728076006412301791998042288304873298",
                "283915648122141547939864426352908958356",
                "30969949449370966417447935040064997314",
                "75184471671000614330819791307839430660",
                "300434750539211553702712557960305822593",
                "309198228129786177835053141642094329387",
                "231462077341061564944623281026658787425",
                "282894917528596723782467782899990591704",
                "227904966428250277682210869082102429902",
                "146967734102073740160128797846065246194",
                "56447877182260139348109757589357138300",
                "327495581415100415365894006375734874629",
                "93127523899906898586497799530757259117",
                "9769411224218682350255495822027127309",
                "242393570334483537450566214010659654603",
                "271029142629568329582424593175506400115",
                "50648329515837595548902021847350625231",
                "117674149516122742782980549161298424352",
                "88423934319390318182565111603322647815",
                "320134364647361452323586861498130192439",
                "340235471931691503712959330282413221415",
                "220808640290050070405693320983507772656",
                "110976261048620548811069766885932384566",
                "133453601931710574799776313058380126499",
                "189658324788955455874577144618915264218",
                "248367029077632264218565545934825218709",
                "123842212098199627827044142593553282379",
                "71157121651564514097853061291238322881",
                "32053820733953338446342360508050642903",
                "114721108004440222679398603705729447475",
                "171476802388058130878429697379364458768",
                "159867872926144795673460104007556240757",
                "180268237469188487597927934734886365726",
                "236742500287513848021381229545178602574",
                "127641680750197208469723291712981399895",
                "86521889444195108779605179486675116590",
                "50081750545314185318895615499331625124",
                "56471630918082365338867455320216926418",
                "125501668513590544462405439349675251943",
                "179920298859893632426455786925976027156",
                "115769780954553615392397448664583896345",
                "278529290200103903501061160258581800101",
                "31105107168679401299789298863563500490",
                "313564461126709710613544397251026115270",
                "189085549471414631193476471576626508528",
                "56654420528017176874663736917301713525",
                "285585675706150357862426632373208700724",
                "60524002085696474127188099093651890533",
                "263799440301233612935650942544262878858",
                "32899015230259403920853962171679784392",
                "91047147946726680011146647509881986631",
                "290447190170911683310491315995457753875",
                "299217970035662836488648209831335676675",
                "129864005815475731208468427558147402682",
                "160502110808752191026322198325544430164",
                "146992278423799417360448734310902798308",
                "186691205254874608977647661778106896253",
                "1576791440755795244431219639270021796",
                "146200210109995255996083475357836132480",
                "117459530562741328325514095002309581967",
                "195429026963588139366406283035860215930",
                "311632280066694754055365825315992924284",
                "115518659968861986425566915013707735480",
                "171116152588858219293410838886489757165",
                "294898113363182257937299089693300185938",
                "253097104399387162133834559609746937841",
                "203087179522657203796527806474879079643",
                "248978136229628584770388248251868887468",
                "272264593632040517039510094102187299704",
                "99637738193010112193310062243935843261",
                "340167918253871799822068100753850519031",
                "333956794874811746952801960106503090043",
                "303371438714160237266319912198884241262",
                "284512312772771263549577918654001841374",
                "97229787627887786248143900038627721012",
                "325784402618091880903859870513921228180",
                "108618421542036399661857473223785903782",
                "193973010243881221142774879624913669126",
                "327408919570013996424818044690061168274",
                "92396717606968248068672798834836769491",
                "196379564906116941781120469167631720989",
                "84927763964829262107665457838173540263",
                "229091399350679716713441889375228121193",
                "160722544027260938225235552125733659106",
                "68416082307339771103990506463694506755",
                "82940278795040339589560735387533968759",
                "40152679863642222641612211675959071535",
                "98571007917276666810083579936261528810",
                "315109088386097772982500693616683032024",
                "241428913648764567948854854917023509977",
                "54309431238119857951418379112896674366",
                "209131469528240737715687818175838761057",
                "103149184714163449106521107408076711844",
                "178860141416626237191430452406433236440",
                "84612943497979127337240742059787491275",
                "309121427486177383453866118499500613349",
                "91603631604199064345176213911583800264",
                "102534066375830833481012252219016218248",
                "234041625188251549722882875135803896696",
                "272209047642997057442116801815591711679",
                "287305746304709417433844941547952539523",
                "218598692762341559456239162942082523340",
                "165595764475301781214440294423010052850",
                "90027471866911605805029442838850990613",
                "168182450570590035009066690147076955192",
                "152547981695152929413245412968203745602",
                "296251489401798284341231881560463814535",
                "218761400778657877339411345569607408949",
                "267415095608630568261100705137353627120",
                "185196800731558875866906877186499595709",
                "228434919956674006888371656205174329402",
                "191242309991877000366295389637365376006",
                "109731760209472059444608124058573290561",
                "127048708292191155077471930201550576730",
                "326563125581505938452488258642719064378",
                "313141313671797166595726122152016311086",
                "121926641167259614286549048424178403475",
                "298282974683673805467282786761724211052",
                "284569299207258233265808452313067258113",
                "324440783985181806014276020622197230705",
                "159122974202479541110306604349849493508",
                "127766647410983910751599850593549490993",
                "40901707490868983303022146419946350524",
                "272968013418067045251984963456604456478",
                "275575556445612320319858410380576705405",
                "307682490100457928975148621819848419937",
                "238662875742801732374036120938710379973",
                "13385417587675468877969798911183932068",
                "37135307302937604247510391834111896630",
                "131538580561901302717553982143608991797",
                "16475108882395030658753132204720194706",
                "78659918419255455884174623071076580030",
                "267040208025712580989606940854065120758",
                "130270120189647973863264276924333074223",
                "231687604676094003035797697716049496811",
                "34398600771971612727244589968686631066",
                "14994839696288368064727627320038428819",
                "71237825416535316562169199279213479992",
                "103796554126268242307470648128396081944",
                "196250477760028752722985736145822296964",
                "186840676603714341800881441370418073580",
                "124009539848648260467715134658744464544",
                "34775597444734559276295752204674167971",
                "156198820845540494555084657921471890678",
                "302286317849362669287235068807443074159",
                "245994611623181389104941117908643616505",
                "42003115379408291590595502586991008881",
                "172696960368743627459518828447742314372",
                "216735909856597218599159394223018832070",
                "131905209432843770293858688085525121760",
                "318002278803324981260845078497999721392",
                "109870141694116956139049808389285679733",
                "36226960142782712195274168438958817765",
                "70827452379643065906553605061306366605",
                "82738572142579269003823386261587786923",
                "226468686613677830340600605767422204469",
                "304212780876329216380705006437101674601",
                "69930056039732699885799077474952406669",
                "255501664780488072009550655318075648043",
                "276465994408712723880328855776902078464",
                "138488231196205106809005191559859789833",
                "4979149731287403255959621845857999757",
                "59818438905867014889981179792945491931",
                "331283109608350540067802011268208104472",
                "301362961282722868120622770822801880960",
                "328449881236149886579560713753579546312",
                "319353980840830153592526426598016927938",
                "259802883589416783476444408507009262273",
                "78731843999487333391797822397865667203",
                "57236115493909810306726135413544209760",
                "273040521468520882102269442043450426637",
                "311289312890602225598092038127830316443",
                "166165906842938977082659025098351233919",
                "302056242722914326267941741766229669333",
                "99665260207524799810221179951631656470",
                "63685520103551668088208764384283422174",
                "334628846779295511233073554975230169381",
                "19369174569264000762114973655929959683",
                "128237941551699105593326584816151771773",
                "301280539697454102914200606393923290054",
                "280872238242406887129441789886368663406",
                "96952788948546932039173478313661842421",
                "306615922477937863275702782843178220753",
                "48760166090623035222353256917025808437",
                "226585155559892898413190113923983663006",
                "197737261658596387998464494664181944067",
                "280409431047637206664579115289096771326",
                "46116066689641385196456352480562673588",
                "304337267695394710649677953036926068904",
                "31056284314660799315770309918504385111",
                "152229265524916111151480210527151330021",
                "294510890135165343625852653417409011146",
                "321111235855197021864611488728360323189",
                "20287056029926716345297211261362475144",
                "163395954934149631171028853014410022665",
                "116083943355309061824822910137201789224",
                "97261376206774580808687039031841039657",
                "216490147558360807035183399174640171282",
                "86110903485655075331571692855267955967",
                "196832744123268216386990555509755593683",
                "89461698262424149027718883413769504698",
                "236109005045417458121024279528292767862",
                "139945259320718551009307442237573218433",
                "60603246112283682404455302763333923900",
                "339982394953691155807260881153757695866",
                "141195242339934552894111807169310372302",
                "52265616829586225373460809664811035311",
                "49307756527442915179137130587034130835",
                "23512043020079717067313277093198330499",
                "328989598070774122615075800857472045705",
                "222529036249170326326390200467456734108",
                "154104447705145334076456166627672497935",
                "171816370286157997462799999511729859445",
                "10581392346952220992740867009333170731",
                "172749158351907642188070179846240758626",
                "208692796998461266456048603167287954607",
                "128042247632654763905633239527530370353",
                "195660018518858881120422713656832182614",
                "180098867202375488657009676387486741695",
                "93662692140106357744679637118010451924",
                "218548825678337881816827109757539853222",
                "282226678742666401864816164640957302723",
                "234872084242234799709770107512274286934",
                "274542165318290994140630115226297809440",
                "268943806195123988136434083101751787960",
                "324414704077901676860188133879812198084",
                "256691966189079190307733258091050402602",
                "55691043798328456741599228508572651185",
                "331042866080989383407256530454737327914",
                "118553497931663136864604735525298979608",
                "271123625004570608885648753707878829078",
                "312554313577888688399667529306971999143",
                "132359033655832593472246070076396930616",
                "210428833742954425696804197656342106000",
                "135137006435475094850199067094059278710",
                "217904271642135661298227131990001284236",
                "109464649520921347319349330818454203360",
                "107447030909887357609191848314839487674",
                "335927347740877975642026550269949353118",
                "80715872743731495608888197022989634375",
                "153919005756704036554339023859114665465",
                "134504420697427716727460781418693043380",
                "8336530430422632748009231460263139440",
                "198614939794707977854124868790030130415",
                "8464231007894063634334768596653048444",
                "87088496200562568472328005462964438466",
                "138949163831688347638389395988153011908",
                "42231213061287418830021997394115299589",
                "68039318042512103506492298931673448473",
                "298427217594069771622274145953647701382",
                "52331212504770644606205301894964702614",
                "116344349494885602103338026538603561414",
                "166137648441715858235275338458875872074",
                "238886992526452099496896464002109695754",
                "200046218179327883878939379406815353545",
                "80045604806617044623479447460074698400",
                "109681025203826160252042215580770722392",
                "20843511939118829169253746877265225617",
                "256469441709314238402779362303949137706",
                "103250995006064187265015277279973317510",
                "213607583825383525465998467734226865732",
                "321050476730306003093911386784290314072",
                "286601927229875897450832493647855992026",
                "37256856755084776782295673559906435127",
                "12710345869594269754323877041618613932",
                "90334846880143083372178352797071498412",
                "129934961402710668596515077271436069805",
                "227633299510882657289871564432654991630",
                "100294934516471588924525824181604311238",
                "233879381509072067271780539226360367413",
                "63395732461093284002526675947410217375",
                "238676760341424078442005223158613909929",
                "99106300056884890860650219779869386173",
                "141350723671152895068313661183268742509",
                "54546894499953107436413292482347362442",
                "108460738826542602758091083173504899434",
                "211719750125872192896417705484867875597",
                "35881659625265686428053981484588765635",
                "59193042958364041102265997525366938592",
                "34209360794391934980618648670333682733",
                "160157363369081455918431687088628331904",
                "308420731249855521075182662210008863926",
                "264944555625214206369453472539107460420",
                "305551329728328435618488089217336520419",
                "228736370156562854078523444900408158513",
                "293546356051763763347072163447762682710",
                "272618982094809743100505138309612013421",
                "271741073075875287059844992824398467416",
                "176640481952513806298964563259365895674",
                "83688327414934961932769938365749483543",
                "176451774320982815106542705538092420369",
                "25536485699629937246372890110740073846",
                "306745904818600632401544007568071287167",
                "64648210674491522754601585198664449514",
                "226504120905184027521428743079797006742",
                "127869265731521256274090673164612729022",
                "223564976787509058538935176346304902278",
                "89766668754782675352095454816397580007",
                "98461237342156903871539376373565441882",
                "272204682566539257948051361682254374811",
                "293248135370333127876242781111615900245",
                "14053243000935960473565192117408912210",
                "126164881566499672999351941193854954339",
                "200670770676893986232913003200793880818",
                "93621836062858360009378249813991959930",
                "227083735909131206034128209904510429739",
                "15100295900682850026562370828433437447",
                "11010680271284305651855430062206189619",
                "271698934061502301200514040453911034867",
                "272753824548284859742375547777577519651",
                "214553584393649522163136335880657157392",
                "161870950291663618174185216762733355198",
                "69657568744046302995521793171408874660",
                "25969639292820153525526100614113189888",
                "85729840306201861749780197223246655577",
                "18019653766096991638264028761160947284",
                "332458428062485503718146951112619312758",
                "14036399530172465204743258958783806403",
                "220402719613425644624666174226882968541",
                "153303472526171646132342768440667107142",
                "83335664838706054794662929241494318012",
                "185973285959961401856169762983046516391",
                "249156110884449057612254436177299921280",
                "91844383508096641607278274921226298498",
                "228065204109433773263984292851014368535",
                "177090555419622818893488513656315234454",
                "301711553984942143717646891927251328603",
                "163763418276094026510275486626170414693",
                "305123994772132638722805509326614344805",
                "223062037330773436739212661171080063189",
                "306414573462025239901440405394325868151",
                "328106547843583603364428193191642788954",
                "209429249351036597524204347073840575397",
                "272714812512238057373360627131552322338",
                "250164790882500821789725745958351978738",
                "131529838303980707528620885872773844434",
                "243387986930359750505475952854282041678",
                "176991655050298490799710267925239713197",
                "270987757831482478232242196674377713569",
                "132746955658547532050018040041816306151",
                "240149502703466241371631059087141968706",
                "91413077396050427382945551265980093480",
                "165404472670532658475234209842425100600",
                "235497489756147956617579101932505551930",
                "221654815828595436590766877624039233160",
                "293521378782592606842107462752432416557",
                "292460898550276430296103575446639005112",
                "81711426789431729026712709136196104627",
                "298866370790602905105057696092543867420",
                "157106101292838571601325915145681294219",
                "325329701786347972334962961066650320115",
                "306137662214669117713821362757537316271",
                "270411470528528547457396896086946650773",
                "260325165881576859388691957033860489713",
                "296889740056499918444652517322593705868",
                "19177537352803244922230420055138966653",
                "203563919892488534549686838668727249247",
                "301660009659555400641395205692188962610",
                "202583110971877667473082436363538275335",
                "126430032402798906656648310875598877786",
                "115991619525731108651650945223813339454",
                "35096727589356518089462727944826069138",
                "337489271198671511020594028421437144030",
                "210458759274415498439266810789582053087",
                "159580264827961408551944057264266269160",
                "222817044007400689206093148407995422959",
                "87268621148621877280024867288218179268",
                "24407285187843755269947944001020630007",
                "335220629430942207629839860410617688904",
                "329304505939580020212083777244498917552",
                "124164049748859201984406440700066627508",
                "260387649408166158902174913649826474734",
                "99573602712989856614380718111777215711",
                "96611817877994084652510264555432181379",
                "126149367723943141934410564081542773771",
                "164927240563544386572967738574855087366",
                "24092188374324551898397769885070081312",
                "180852141847562715371027298784588495575",
                "230035432541262254155738673290666825291",
                "219475488847078034781106184176245758182",
                "161424724881599322979283431804587347760",
                "258654760634687750924764106508642811074",
                "133036785916544281558820336133034891269",
                "91307099359224076046536812572280482166",
                "53489160511574675591948749915971698307",
                "229693665044709754301202533801225843724",
                "117807467884784330828948951756288891538",
                "154076256783176272682635241215037167412",
                "174908863759622989414219918613515741219",
                "269271544474815155296016001004533108709",
                "264930731818563237482983778876686344367",
                "192243446524709284730102824638680870138",
                "203047162839505763610345271029096176899",
                "25165347163863293647916305371444536896",
                "159212959629911236138001357787451055499",
                "217202474612035351307213597900920813476",
                "146085220679572372303642859852308231996",
                "41648059497978771493089759844682228083",
                "82179367630701489103532420157370264579",
                "120357901928157226683345187954518271628",
                "167074158746495529974709853049699992897",
                "331417114464041042594559916465159894108",
                "181033459865872823440460198260433979270",
                "268925232666472868155755661636354043091",
                "226437369501931703001315549716453681910",
                "163829744458741752031092974903285153453",
                "301405209170812848186270086856439906821",
                "330052916157933014867143928623463044769",
                "8677547186032664578985287532129876895",
                "272875174682704880723101159503862664271",
                "221051281549988283022794330564837330505",
                "167550597907312466559632382822261632326",
                "88405706125442875651623047222454457881",
                "195293986444347226738997868217002689246",
                "59626073741980703880351116111502260338",
                "325770014999830411328356345743262725109",
                "179656452888646156235178078808362105013",
                "326465151447178759622265003501662448357",
                "262280972485293768013617643415608834323",
                "135100782738067737184621214155369157384",
                "243379985032635513082229526678769692005",
                "24627696426264271870860065839236821724",
                "328999403224299604285979203890084159168",
                "335074063727432905042599652825466974411",
                "115177552631916407883973309407387481730",
                "172912161496181360413993676345032743258",
                "321457413930898790827833737942295479481",
                "92690765300550623127816862657009083860",
                "113900328896100274233105765326108833468",
                "224111786306236266037775561475068069312",
                "306232332960508267855481834487255989644",
                "198847602973951375761117836676741977991",
                "118099403466924215385473799769279276500",
                "257854896658591949015073745825054455595",
                "119517504444110049641797770746432918119",
                "200286660068616888190315230493067107835",
                "75713568476597605204096853107237317162",
                "215734808511831049938234330219921710757",
                "13457369798956546783670906207122011232",
                "332668508603466179089543650725927304805",
                "132031515339873150351546632499354243789",
                "31460732911617617461064478600236413150",
                "186841218751884999369982959208879020442",
                "14101116698828276462307492637701718973",
                "111672374869901113849992314433139406971",
                "73181565048115907931553447423297073184",
                "38839886515037507076807196767027831947",
                "66440897588530069203943520120474105696",
                "292798971665051008815715648501160805205",
                "4018663415030122255980265033292164538",
                "324325370514462255640644415367121065577",
                "199230606085907127772696116127353682883",
                "6145766629977645430644852114456526202",
                "292189352433397271653492748734681864052",
                "6606202372847467431045960383091575708",
                "118266687938580251845177874260553476249",
                "165550308287152309874665050359587257724",
                "256102928053808237830669049288908159790",
                "14152913203669294526421149815247257799",
                "262643841114597429031042939635151794563",
                "149619895719405722642382460344659669724",
                "209453925596008368452395953243759957918",
                "189857279369128502537918135312117315307",
                "276637031574409223881858619085548067826",
                "336712651015561697678412940906522413799",
                "242998549314743418566351285018690820279",
                "180795225113204955960520405512965733530",
                "157734772736406523607538894585061181614",
                "279223569892810693416093491211820275900",
                "98915031291167811537743741765970986193",
                "222358404360484363819280732826662478969",
                "126785847978960025929137752148399166907",
                "120888427470855990505060095027904854005",
                "221061797326142012882761849128893123395",
                "137904571573835167127075544622384478016",
                "212709971517489483960606647233742787279",
                "12330670574302428216870149861616120991",
                "6359958904167148184579796436231900659",
                "314202427500370866362157154947526551590",
                "66371272551374175735843915996069915139",
                "114011142229222682830259183467669378849",
                "160988383969776624745696323030639486541",
                "17000564872583913508844304041893130873",
                "313403655950674020241698480791374328615",
                "210077805054910364372035977094355341039",
                "85569668616462011523079479327567096690",
                "215256650186668815389551457649582954096",
                "84173321380796562197323457868431203150",
                "313529146363977876010228595343586694535",
                "237698282711334625769288746891077412691",
                "188375273731698703608052773073808440176",
                "155674602738051665137583090295831121913",
                "122322012719423996347307180032157495119",
                "200430987021302554260461165527098974772",
                "208877844063382728240013094117532753893",
                "228112419623369172957293726853200241479",
                "112999034181864590495663145471142892766",
                "315749860310406185374721146757102341329",
                "173030763496973640883847583043775891032",
                "130728868852040148145406825761396820919",
                "69572583720661440365564114498934122011",
                "140696647597873637012706823069078787925",
                "39345393826782846923241734500700975534",
                "141359941689022872414477302657328636594",
                "164311566166029477298194519247453842236",
                "72950176386070527651980276038680722336",
                "239873234417818495251404449712142748960",
                "251043093307078387521918462766002677212",
                "130860229018728191574963334847450617558",
                "231810554715190009517465252331413735728",
                "150700274099812032818334534355048341541",
                "174501901435367777508344920229119739385",
                "252941268092616364954072786485859739732",
                "212297470596932434970238518196511652881",
                "141417442699812635878305041675742003317",
                "69431280290220799516800591583486974709",
                "39143729747021513122622179733845146136",
                "157532334698826579174478812768541427100",
                "68940664914750234199503884457081028342",
                "205771894552285036535074639341606090665",
                "32467995012306999546733233279196136454",
                "255557399926287509313298579194855315202",
                "52657022387056267393578485271226564697",
                "279539159954117835612261546001029540197",
                "196207363450060607566589049353367019304",
                "116260377577922821355566227904447478121",
                "242942568891375837905084391754364979389",
                "300647335301676039964317332987759429845",
                "8355083928723662217972171204859030367",
                "100124393292747470721929287593929819463",
                "322651402164094003542601349097735217964",
                "182334106989098799633575873082749266778",
                "80598446849410800669297953882690027937",
                "17060696830775118567362075390755216369",
                "312947237067512041358310305787006356799",
                "168539192122735828435108362479955987100",
                "189078471452265418575166327640171427779",
                "292992186886015037319444549427796436479",
                "171614878286121131107248135470009546755",
                "250162645707286314086588042830384377583",
                "126144579952476621987316140092596510308",
                "156021524534528874598717500503136370562",
                "28347350530445118839962672786284685265",
                "75067508099240413638625108921109873055",
                "2204298189266998695394218279174796091",
                "106886611952394085423647873570002946525",
                "45589706220285571485323910004166188427",
                "23531090863913808295716104220185272375",
                "76771548985916199358423252579369898489",
                "314285163807165436109933757810606888147",
                "59609372874710514960615260284227453858",
                "279627163692886418050775263143435209074",
                "49035537681364881227506714777690809829",
                "338599300815893269031531569330560255367",
                "158675515308187600300720945257852949197",
                "57046316110872798131635670857798331188",
                "129918189677811291124652683580242561473",
                "60008045775234169346556477096969738218",
                "256608830502737858450002008911588576325",
                "125345974685938727870131834732764429224",
                "130695322441393892470249925930209573996",
                "249437535307523888201055640366586562832",
                "10210157204893046755292937834465742989",
                "157466063852237164459120350238718469146",
                "193475273892227829160732043276879288976",
                "57622220660934050247788299615033314229",
                "39057109797249326525259960777921125314",
                "290824632216611072425133368861876913875",
                "132244854524002637138233379060545829563",
                "194503318092194240190215438714161603182",
                "325322492201733834434134393637474562077",
                "312920329725191660843644809646528821381",
                "25164277032008551750012528329542553194",
                "142854419323798733474323806990912022405",
                "324531154222562431945742987475416235140",
                "169166674037538795446029072814524591705",
                "283685700883349875503158712784904501624",
                "215068403308168303435170734273692107963",
                "164460571203768157117360619035820132418",
                "174079843878473690175399155575941715564",
                "138134020305556646788644349300797051218",
                "25810800986215536053037303586228970781",
                "78430344351693277471624546409979478731",
                "311813892661707037120185323196986296123",
                "84185202504382484663974259437718954144",
                "126564234169684199149980415809588390875",
                "142775677763368148555844086153505762070",
                "76742253035945178880510609051004328860",
                "314323176606133719743403453492436738961",
                "103239773625421182266242722583195829490",
                "190262428904623730327498148012636428003",
                "250935056548174026768266747934116455833",
                "262419099869678776764683961778440121372",
                "71905681176020858275756953516711082739",
                "283342015589450942337265327803485337449",
                "165364270482887838241913393158143100769",
                "189483218011401320565418937946227153296",
                "229100997554020426332490712137839033415",
                "33300600513072231271522729702518743260",
                "286664068162360839894492892362380610140",
                "128598464720979350723175989416839700632",
                "127181187728607046455647301190145393874",
                "53310177244856900828171345940832286478",
                "169089018146689821857869974607552531165",
                "116500420987142253038327612133468986484",
                "7936114933218613048851859234342904950",
                "198070224297588712374660620807194492581",
                "196522429604369639149833974812284321817",
                "55221254502884426825850217698571013109",
                "332511778621025261496714510380837557027",
                "181276348286640396439432771320171547406",
                "26074872529214268457382892445004389432",
                "294869878565617273707208138473489734517",
                "327326876700320620912974175687883379091",
                "150687732135320415239450008916260203629",
                "221495041443465017823479147020546070238",
                "269885873460909138820861840537363159278",
                "325092333863667933682925516939756920020",
                "146764862521394275674595263026930984896",
                "57389294472969392860623789582628373175",
                "5333825151128750830478549669614911172",
                "339398051338586591842211954825939034733",
                "129953821371415631779773244136996388910",
                "42895349734960458694654207789815054399",
                "338531306165416473283246576005757222894",
                "285934476775227491987678485307099187121",
                "97758671410988344494591244179914334377",
                "316258022900917009194462056745290339307",
                "299514396133067446136583330429648463916",
                "56402952182125593715466816150117535373",
                "2942912849138253556567358840184700441",
                "233691400829314269683732195406211947927",
                "74642259859715098713437288560537587324",
                "169808466519594025369858899015515531987",
                "148252509941574378921312513437196882073",
                "33196301610077349194168868394253756498",
                "281852024072842724258828446108012663488",
                "239171473479595761797582926225195137904",
                "164945036332083127458437059732455221568",
                "25182864997860500819832991650877023835",
                "256973861688076078076942225200628927420",
                "299313645302849281866383387579483782056",
                "180712690235362814166538416450081139204",
                "182279828305088071237487801178949162712",
                "192132004958684694006382443323419079206",
                "234472386203938274206294709378871894233",
                "274810159989389355284524427507248596488",
                "286038570302532040696099485570839022619",
                "159870566261378981501827526584647202889",
                "108325069282494775450466352986511814095",
                "317199186571363406300373553005750593469",
                "147825754129751085076277427353240254540",
                "195421368433531223718777508053294476936",
                "92062255562891208650370171879690449859",
                "78098696601212447231154740411415207525",
                "7453491165844088180402259265802577182",
                "3806373364930155024103070974521653449",
                "222822129607038597382189917977343160299",
                "34099187887427541131222761086324241271",
                "54544679847636835648605658735301135247",
                "329035251028421420010342058309326827482",
                "294937349147097891210188652779633263833",
                "291162096472989737265126976728911200398",
                "40059942126135150339432493806281925603",
                "337228106506020671494755529707714838616",
                "275148249687375764533028317443254424911",
                "74759274833106888040097644870809179896",
                "115627311093224605044645896830323421360",
                "166604792749514883786927175477514235402",
                "194236637939979162496299540184102857049",
                "234762313539403117376143479909023156037",
                "247101556615909342028563545815810886704",
                "188686405341829297488660978550492992230",
                "1854186454168401386992406006274202878",
                "252910447549939966251095124289553810255",
                "105803891354946313136171355743815372294",
                "173593838949426796072401141433503468535",
                "267835191253620049461911700894013621114",
                "330251754270230625401470169000735405059",
                "204788412493318305159524327355658003088",
                "56199650953379513589036282316886264862",
                "264989017521091257021025839823579734216",
                "254845730764440298765983657791994373659",
                "54015167205027042885074279213180309447",
                "71263191991491615779912433642674072574",
                "201170217940385655061371642679216777435",
                "44640629495170147910471909446762342863",
                "311254829083397411419164925717537439455",
                "97913825870857472385548800564742845278",
                "332878704953373916789207978218253162787",
                "169065167347314576203420645414487740537",
                "271401134620155290429009671830613576380",
                "70203595207700442506895402100994488797",
                "127807107982317368644294190318754791684",
                "236834389498738554629920379391956180743",
                "307122178636261615857923843237568447156",
                "130768801120812801919664335052586580638",
                "248952004844833511898508555176741735402",
                "225864854494838593736842650032034430831",
                "18292384214682963641811938025899150007",
                "23243293469184458505694671474230912634",
                "272926363261063575481284419224984812537",
                "54592734826379757908245290700208564710",
                "4546387565808867855175256239974647003",
                "117918741653342879478967876959952748013",
                "241296283616457360449397508657411955586",
                "175177879683887318046127061265633526664",
                "269078716161548561658644255010309451495",
                "238226982112252129190393255511969877630",
                "264498864692896358228550425059930633561",
                "52142442452715532904747956415949215620",
                "237717290151845792822177202586288140583",
                "339252306827152620494644161207600187086",
                "228555004095317607105214289220797349085",
                "41169032339465744892019191596897530759",
                "58400692893738565038986765011101495676",
                "37660379385232065284761472807041236417",
                "128507235098162959485577241552549578629",
                "16360555724460356652336385193538303468",
                "282548833318754944340735939946483334518",
                "138757766032305166768734623427374528990",
                "34823981741641533659251834779504200617",
                "12992605251830796867262339781159145028",
                "285072809123746159819806510853810676465",
                "164138737884878925654138199177499245500",
                "204372984040910280957501632494687867006",
                "328245930650164957655402778301016380923",
                "10377748040142247085371376072980263514",
                "178195546280495115970039130490199334561",
                "302626423606844189976086208065253871884",
                "74693011456143403201759556294201313189",
                "112636532197483658026985723598786327411",
                "2756862005958339168442145918449121581",
                "5461770682617210745923371622098906495",
                "13326324887023810241960173549220515566",
                "185649481201480185432329389553064725565",
                "302366178375118897567707276171127772809",
                "161410609402781869830350457355574654568",
                "28981567265074133902637963499728029271",
                "77871966571110274675484187300643222214",
                "47955032185198153060479263405927962223",
                "149574838160226637114058563702862248599",
                "34508086357682332041288599307606530840",
                "204386325181241529757678123067346044283",
                "87977873742540745645930211381632001798",
                "56819472805523435864023836829609024808",
                "315809502893962326326153712326502448206",
                "69977985047383993524923400596801752008",
                "243217868600941934884532268433616322401",
                "140920724141123193174818790861610511090",
                "176939236054722243752747982407039297991",
                "162564631938828082775456447070061078552",
                "336315991014981356137178017032991729174",
                "121015350969894848042625614625619716517",
                "194612708942985860336021278931977537705",
                "264787398209830707170957704821889787455",
                "267528648491071349756550615084437999624",
                "242416546511346738349271186240561488009",
                "183070803541512159195631781832653572671",
                "47505311548385703511671008434458684122",
                "183911915594923041044649036820137860173",
                "308442135416218331570315606066830869492",
                "82379451064189976423940866328689625354",
                "332633544970516719833210308120847994668",
                "205648214287090550915025503478333267566",
                "183728341071547861659318829263645390998",
                "250240801662086052598730753874935609712",
                "250421195646959134515614747955252416034",
                "335603747984270254212663209596989077023",
                "116930626638721439737963670811938232908",
                "162086661505015218371770724044193384752",
                "191777807807536163003116350189854613805",
                "98503231249843651854613965753800406059",
                "248634332668414560355076185785449778291",
                "102682459531201331544178827529590387266",
                "169321294297348553628881616630835852321",
                "102962328381606426091326233970452669197",
                "87597170018219057715790803051041124937",
                "106119888009176701037826324187326055856",
                "325130397433647851364099472646605514134",
                "57578644642256548751218035912063939869",
                "122227244483023105111929660585628319400",
                "251178206798467842531133740712530076666",
                "292570908349530764685662197883664968533",
                "223902282303632484384403320616179700696",
                "120124763406446265852246114846646758620",
                "59971903876842238560318155085622536983",
                "181801266172743435338568659883353738967",
                "153248021885739563675309814312186963967",
                "42932749983295057297573665073020525467",
                "142167249136121292162702516704463643141",
                "270583643959669265563457448396741040574",
                "184718898318445523411299919386025058475",
                "203308816546722193340068368171777648323",
                "182343200537434703996997963790457084678",
                "276092573105261887689013220637703039822",
                "30829646912815969721858193651885749660",
                "90079944994330627730198631316113486739",
                "329146613280916521807844781144258872492",
                "281137365597153875361424422199403939277",
                "149199902447281978426283375505798139785",
                "35200525322353818067892024517777688523",
                "292505140422467957048217634220880782846",
                "180382123905294041229221495869714435539",
                "196514087793358736077961963898476555159",
                "300240031351346677433506226062483618322",
                "143365394511038125975808267510807778264",
                "212071247370081145889014226761040058638",
                "20751676709334432422879529681002242174",
                "96318571290899298593443953006471787099",
                "64307285108157173892076550283033508930",
                "178718564064745739790811356764844319261",
                "127024483941422607856210733248096255737",
                "288854852177463697970277444510206265047",
                "16319732228034096849945918515717166819",
                "196834111935064561793605798743265160363",
                "161328057730630234261494037667012437898",
                "272910834405765843937480718242036597209",
                "185515586888016805450096259820004355065",
                "182597881458583901683325354691206687675",
                "216887755968251042658968008856924943931",
                "23008612456308156224249368372828407103",
                "216515774864512489543661903422115471074",
                "73129468456979143924181931088754205399",
                "71867493860692505847132741957606576297",
                "294893663090555323621543260661044776739",
                "326710343743807801002923464657937160304",
                "188151637151536044137735678776922732685",
                "59770480717257763676613795192979587839",
                "49129529819939270684552978777409688400",
                "4432398707417731314185221135882442267",
                "39824037910922551869452187390758172392",
                "328719069142047603829126085750647112707",
                "3173345176716682222202978738994736496",
                "107740981995351275490109735730053310288",
                "135962883330794940029370668239120942229",
                "10452220893811548194208035774272732833",
                "242883878607283190067344993148728510441",
                "169771162612388690192289077608285830",
                "104532880291361325551202643379454095204",
                "206237806668539502410592894082966029228",
                "234519210364357367943106211435898709821",
                "275833938705991156503982927193943840692",
                "313188196131988560914606766281490837187",
                "269781722719296188400301598069781517328",
                "211250597311202149813633379791866344796",
                "57685488286718209281746499842256393880",
                "24990162775247293130159736685157924476",
                "169628222492433360086283997819500960621",
                "136004345822831538220193969534905769569",
                "88744707028358759304619455907056757758",
                "71443167083382461673358684323527943071",
                "146097503921479005199703384246502088694",
                "149613176689865414747908654993756253281",
                "139361886585512961235420680797167541126",
                "221499692930335260576143047998886536360",
                "148156799185425308763890205848700079436",
                "135807043312668117775253098807797786708",
                "12842569256977077983936803824406034318",
                "319947888007292168596597155482674985127",
                "300089459459694240040163081029602054407",
                "213904435105528782341299333427236755599",
                "324260325694997212856172919736042882436",
                "213568348904295065310133631072848146878",
                "211550147593771357220948676585578510045",
                "275372308554991714416620363020931610045",
                "128689547707554892960943098582912222066",
                "62210019715971403908689205875011497165",
                "42405703242548897832091933482007674516",
                "31174261209999186213795606910420935836",
                "244754989493270784611995989558377658365",
                "64420160350672803728820164817735203027",
                "54096526703622472044198157990491573381",
                "250292980391692312606355330784132644338",
                "275519148209495873291687531319235532430",
                "290748186692312441860139259689237094194",
                "201990012179613367533008517744250475456",
                "239469595202291199285646566532556947119",
                "114806621360650424354127514757483043646",
                "85583194741706982137267047694430121136",
                "286540405455540790783544047075778873669",
                "279202410991490375444554068041072054342",
                "245278666659397817146246487943014601508",
                "239191643691458848185979972667998998800",
                "215728775973791575097376252238670868765",
                "124060683190817287034469060809083076935",
                "204890299940680246150058297492908531469",
                "193802301346898241003669179716814336026",
                "261392966181934108049975222056701181043",
                "149933133651480889668953497340192902882",
                "288960860943521774187548963792046785662",
                "221591248664208714999006946603446773175",
                "278480164276488869581160687488534028611",
                "174572878552607759725753145448356302309",
                "93731564946199240025130782051409693443",
                "128511512039344254953868766358252917410",
                "130515559202532199316412408441447210429",
                "128092652416711631597229764142834165828",
                "218227544057498700600416017344650346048",
                "24443312590489539040123742063257453641",
                "262116939735781945475888375881562802907",
                "232827305535286865163052631608334188016",
                "52831152250972990061812841670210738130",
                "224335238323980479478176690868107435932",
                "140068980585104131401306289614860849352",
                "254467056180926809411165972594777556133",
                "217199595950468735266047234526324972822",
                "303761801915830153830876941058069512777",
                "313985750984405660945424113270718104524",
                "205411914411954175843874632299865370768",
                "338668292279266075052386962981436585436",
                "30087697333334843191346637498145208822",
                "9122187966447126497018645788362687342",
                "181511183652222718189782064763233661950",
                "176410743023940395843287531398709915064",
                "123025299410912605479534053519500337763",
                "250394251614820762955434503511332675445",
                "163711150594681898722166884915620057324",
                "80269739492511491724293549363798569233",
                "170814463354544608856747743285545557278",
                "293133070562685609857920911441699357756",
                "313491536758864971247990482850474976379",
                "308960347865662121784228244690485734511",
                "1646691751106189269736742417717112680",
                "78707500519865865136440288001299079861",
                "2906182380407910634507612407248270278",
                "307028786698614122747101088124737865529",
                "255583538680038141540946156412273273642",
                "301412204481766850830436499869762389610",
                "176555305665654710013398218137649402199",
                "156701169901210882533779410575785670382",
                "329805800627001250375210383614646168904",
                "67358468381667715398878582520296114664",
                "265088589767617278829542116763638211711",
                "178624812848364450405009610572880752903",
                "247521517398305676942455783983681970998",
                "146169936000357217385241968499871833914",
                "53523660170317588976215299811098096067",
                "254047851224779519019630078092802436212",
                "321787407387220554144312175192562135559",
                "105371716662592834677236719974023985330",
                "291137739852905253458297607670494327163",
                "333005373238959365776833211282353077445",
                "216050783749622623480484072163398747343",
                "75393609794413704261158037830375740771",
                "322989015514833750126389706586548109304",
                "214033328600051084194363608043015763412",
                "115847151444947990384830415155503457113",
                "255845821201187432183765095116274907939",
                "64372207050108575001569617604140561967",
                "37258250062293002784408926395262681941",
                "184749176545682959413869374626242889200",
                "270730200470724253359579902329657193021",
                "190709433914617824031042799846256681890",
                "132190543198676895270927417459044411205",
                "242832338303825489990221348334201067495",
                "51693219460215931225366160183363729450",
                "108431918300411731038074785871201704030",
                "225367424742798822748861445300546628368",
                "117881523919356572566055382048444429294",
                "767339360259370220920398483722165846",
                "268323775105584707796689841058309455313",
                "210966047306738247423987723613520818358",
                "93131339895631983756787694909213761694",
                "481839813982601174584177475657524267",
                "132258094541993317985606182839656474776",
                "160724026553462453856836926871657026831",
                "307479039282432019553548769531198666674",
                "290405571715739137279700300171659246724",
                "107139849422406342782171731169372666166",
                "97493469378394716643682322989703298373",
                "76003750329185062565516676750503241723",
                "117725946197923711921835808485268916361",
                "126856647398362780045159224233709778172",
                "188669315433965683247162509360845437174",
                "119102256361862539630274703086785073210",
                "143664671461605551483922171796366985691",
                "256375509301180217409830081577965897933",
                "36814178391870644949376345245841475459",
                "272778016500847713590539550036409372287",
                "241745581453781451040310640758939269294",
                "37217317077856565899028841160553121464",
                "110074735806386061637817333838503044976",
                "142178905230993511581717635699322540585",
                "62826095946914043849375266979758566786",
                "235213201054851581675500928489293333552",
                "319641480826185396519830873439869239121",
                "317069676154186269741528845900961049138",
                "4189703273510541275657803744025108585",
                "98324165552169640262570160835450023654",
                "57791161059236327229379967976354314098",
                "258729014592117865666603864018236774856",
                "21369272531101196446403727101539113775",
                "226242762150065322747042190494980199847",
                "307677585173052115239836203187317998385",
                "100949015426424716289323747595667318261",
                "209120773499968093378930472749817001816",
                "52948277549955324844741829214326281810",
                "64230203373837329325899594787319216114",
                "197235202265510553901896534469866807340",
                "9750079129187652701226541181436716803",
                "336514006494096270517217096267846593208",
                "176233663824335991849529633968780858492",
                "325227765654013192849844094839406288754",
                "255505850471257193485021360422561907899",
                "268086349756078122396001476328503800921",
                "290603353721681872354209598967902500849",
                "152354428949008670560023251831361699814",
                "102854652320897842636008378378805170871",
                "322322639673405050168493961456162789794",
                "15240199463854636656576521390913888968",
                "97225543508321731991932197987780304806",
                "142798026298956009946079367384681782176",
                "144651749226803905978098380524896866689",
                "338372348338179342657518827909878687796",
                "331454873291113639112549808327115976048",
                "59031353336750962341646107463030194939",
                "209410169608438588705607896737237109267",
                "123386174322875875656160618964687239964",
                "311300865218012045341241387462106228186",
                "213832704967078836669778542927693657808",
                "268049119045395609259838659756748141708",
                "278689558295212185200744690382552248841",
                "30712375304064678111487269253191667497",
                "319341485460736690656680207331880507295",
                "297757333487354363790205263858723018914",
                "322063017098650639042144131118563656446",
                "111671981208659843005626689264410242672",
                "233827164846491837250484049888275211391",
                "13291615796426696574378101779087510855",
                "336288016458558446094994226820428691623",
                "299326885172481286420599306269851070685",
                "333412794789472075362924632475366310606",
                "73161817820098508931751568959102747101",
                "315733705346613396001480771822674208998",
                "99133128373031698907284955415039024388",
                "81394619303381716463751578303568145256",
                "30778551179297954252093020208126454362",
                "79340123785629575626272438040125482224",
                "26404213178643929415700150820398057018",
                "136129458897685751028359953944849584053",
                "269955245546431403261959541886535595196",
                "78505489332652066548649811396985819131",
                "161571711622577542029504499791642292115",
                "25244358457614698284602049483730574575",
                "143356807390410672443095003661274055644",
                "62204293420160522809883381170784532948",
                "32905056081853142853624982958106096593",
                "112935313258954167186754685509290562816",
                "7946407093377808753932998648247631148",
                "314587663831217775903057824617312100771",
                "331636958451652234168792947850581650420",
                "23120325642850460946595551916293735861",
                "208910207788485110281475339170092784398",
                "233777737241485887979476947429899429593",
                "122113678513577661726224353426534088110",
                "259391619171810615668829017496039706149",
                "206348177917743528990709890346473421830",
                "45620093757629255464267091850447989667",
                "115942237165295551221484074302131992375",
                "366378809977349463563344917102355972",
                "112266018145476974676923039211726026824",
                "128552446956795343746043874489485079190",
                "338658767875827339316415308161903909667",
                "153692302981514586502458345174414027316",
                "109083877651826892158054551619305432730",
                "99615123528463793408006253532798750204",
                "95260755000083649652710116866083662418",
                "76246460137146204000949270467802934391",
                "244914887409391709333723443319821769804",
                "264685661766558304957484975023453183903",
                "68545891421444963128240847121697058577",
                "53532760811294515340501384345470162302",
                "191801525764864625555199503454674141241",
                "305309728882063110445888233147403039520",
                "115495436621933945025992142266857044705",
                "46307552621086445210538944534281189100",
                "84659792983399443463214527109153144631",
                "271929284582553435011432649213056401017",
                "30810253859674033133761508096868797709",
                "268149408341211464342056961640314934207",
                "211661310096055408048309524521932556470",
                "55372151802246939125261730506719492642",
                "131407402401016620529830384328347547940",
                "255263001726348708952706780768033822795",
                "297839059659999971261393828486801366162",
                "314065905582594457008992179722593648069",
                "296618411301743389058626457200510689343",
                "57857475751545661686732892635441985672",
                "236606266854962793593871464540547350851",
                "2989176469079357676341224362598245473",
                "69294500288620137530654494970533908584",
                "222700528529308245775255985050926171830",
                "272402564883047635839718948763986274268",
                "221110575433921233623912402458880625034",
                "22446276323729144737516706962502842991",
                "75845763082824274502385523933289321745",
                "203159573175860646402115154103909402750",
                "326622961015225639278021835659815747649",
                "325509540017142203631094286779964168133",
                "150606066546476246458453390459760805777",
                "213008473508785931833181339109635296993",
                "165108507081523861296727384409832233708",
                "277799843612829536905799288762777002346",
                "177802412571247697063969920477660060658",
                "132081432905675175509034693540253772680",
                "539237006782154598865805595860984386",
                "31786294125209338438046478200098429750",
                "84098673786696018545085021631691138159",
                "187610805148547793407271040840400212018",
                "274978341459112017926336867330923328316",
                "230715686648692945567003327694870318093",
                "89158217642468753130406164553338882252",
                "155641023015483976847836248894488080999",
                "199075849086568003430170973166235611734",
                "29815834383453569437794613865573520934",
                "246198634658926374016541454689443306008",
                "13304717113946832184750667897214375982",
                "169427791518004986564021154554374720164",
                "206293471983907834004958591470595774449",
                "319902968484483877296311214327373773218",
                "2976673852535840652501980245642927095",
                "323786936173925305135571906718672495582",
                "8239352521373792880187332722894770858",
                "194778321276320222722115885221161200048",
                "236416893935904836162304256374167025824",
                "308869490917489365247196172157319165323",
                "41132893406775027100730074038429886530",
                "81656468757389758726987248095985101767",
                "268257101472706023033216024491355983709",
                "278902008452674805643056306219977061844",
                "36672278557407714156024916971257910739",
                "229606007705330167099682169227765833484",
                "318855886971151353781090862909364388026",
                "254592292145687057955489358173214849946",
                "120359551525324718604179211573700569105",
                "242093740158662528920861905711756818438",
                "119571635549845560253993971208329289882",
                "286727543609942380813292681142590819127",
                "254017376185877939453550288402456862649",
                "299993207410456403502171426981419366912",
                "166762718268466871465868044611193942377",
                "133696893976274359471130549788273861091",
                "53833252396655884139614736208601808517",
                "251086688095647191045164946887598186711",
                "142005092670681484819827915713467494904",
                "282847282443924060240385464376540437458",
                "87354401437921007587074350786612153149",
                "80433392435877162437033892393947526662",
                "66148726511902159342292644582113807010",
                "170586148276819329969311488795733032864",
                "26877766508606760568639906723344899471",
                "200494342114766376288089246403506454995",
                "226170231175398988699885349295726752036",
                "145566735614765503567441737834636526072",
                "102910257847443902407888581153447314036",
                "55153009370313973447925920844430567227",
                "19861326056578598163699668110964033510",
                "136098141639749986174245818415196516640",
                "37492791358387690488978921758267934211",
                "273588065644774370832537698228587934623",
                "307450837658400316182626579876918731698",
                "324235630243250052662754062047346460175",
                "165029206530091624978149583123476650533",
                "14636575083292225823672764587783092213",
                "209887471318776474096631744840465130609",
                "56795773521710908441697909684129974043",
                "250867772238539778312695649604585993739",
                "302951382439757919718969317891682215588",
                "211109057721079892980567779416512290115",
                "38167025123769916282696535918560414961",
                "53803938968811304774356648211232080460",
                "38658060712781439671498284822008831479",
                "36302113083262522750999112239722552425",
                "193190627963500383871958362673971481797",
                "115755151775815201152315789201510227338",
                "138917561662573597356603749947545586485",
                "303726012409185170277569735508164182342",
                "20159110189294680684811286009427422665",
                "76822855773953760444095227736146086523",
                "159334797699921944394348333193770273552",
                "101698336544850699250006169227422976317",
                "243678346245553338109912182718539732769",
                "42824971150706354653939605886081578427",
                "324895149286893964510857214690258873837",
                "1284044360095032163681581783808900620",
                "266374376274756023006558998202763694538",
                "301403675083503053289551222227852385563",
                "94386227281727260103090136533307565099",
                "39748404889984799676123097832195226467",
                "316664630440763110194998201853002062016",
                "328583981494664032436989722612286153859",
                "261835005778255030314668851100083484761",
                "108261715530046741455479403004093943478",
                "255643072806269808589848581994774447898",
                "4169772108832641828186630121058101838",
                "228923591131608785836021805215137427424",
                "22553486913971065523919703215792535451",
                "271227489070165861624149852237645640375",
                "312955270797445668044171802618932537940",
                "99872163052183554883294478911445571893",
                "176754229600065354789170943378850548777",
                "113481387057979006116866026847609257151",
                "73063148402665927275426863571474416425",
                "265984484227527529328133968548654378519",
                "317512694323348667653761347308896544407",
                "210487361475610363421872960657669448912",
                "152027244544856866592309501628425478853",
                "150961934968963578478629647038917177517",
                "242394378377662477526327782550324780813",
                "123794695491441128404684543259757818134",
                "195632680169516273465580127276497380145",
                "128323175620056026884111334306374442432",
                "98279186885412981854768933519078399377",
                "209952448891273613702803689900312601594",
                "173576516749704723415205539245533610535",
                "257563037328614666167458878928610086884",
                "177570657016350807635638593623958127696",
                "44323061864517669058476639624059303474",
                "26709578565855505049564127731104000883",
                "106588693720760790342691809177449679437",
                "134453724044716552372802880106341536984",
                "231101420969604575339023790963892046555",
                "325619663527316037531868440645627751538",
                "41813636606518732251716137791048423452",
                "268252345906506936086919829988433059916",
                "102705988927962053583659959571900104906",
                "126342921878416142357572726620656214168",
                "122918492778425945756859505648552391812",
                "212570793028719492241166368301320713650",
                "155309665381375215574747803681812813999",
                "96414296954652362814698220387345592634",
                "49549659410745081327521661324425028446",
                "82900540617025924574148448609256916193",
                "89087692453412316424969589903344076723",
                "196545049819083576430575496626009737592",
                "310422654857658936086294459669106622752",
                "220736073423771561676848487382450083986",
                "235472932534920875041695472992758438829",
                "160805331255729398628017116852580089393",
                "21668498210326508007309052376816669325",
                "111503728445296287537867260545277810593",
                "66350025622642442200908532671598008931",
                "53916379882160919576844567779851911644",
                "34846350105822102279621574969701538677",
                "25679789864845493059331498479253554740",
                "178596617679823948087733508079016795498",
                "108240629313353898468211710423100770357",
                "133608000734425510594134616606392566842",
                "338805424518785857171508707954254216790",
                "115495587968093515462315131612237087535",
                "78940052636959694427351832078746810773",
                "17948760027938966369618342805486011346",
                "257224455646596927718406032483475243640",
                "328567517058631039480111701632042348498",
                "12028454553921933800018992567342722444",
                "279073280411289265342356821076271399817",
                "113068717668230190891224264975615943621",
                "75321322978523993340520798609766299782",
                "209083624816685976818671270124373861816",
                "313489455167310272976992700602388330192",
                "3100077837511096987884484095427853101",
                "47188069862007645724955716818700447244",
                "229938828931154855260304716261941454337",
                "87973147748875575192788099800030236563",
                "69765914346410017015193204004337698993",
                "77033097905963214979433565706714287562",
                "240204528826633853276338735275896113860",
                "109630107875027567325960475118029268854",
                "265113352596198105722603660255999768803",
                "229297147238372412857156710328577085836",
                "320042889414294070346144053537439204339",
                "49188572344857965372385701836080098196",
                "314011055933733454747926581325077870266",
                "191673774689118963029481332660223373574",
                "129825845651903326616973746127330654920",
                "167693840301120728987956564610921963112",
                "54759801854483843597356385469313994795",
                "40370211682732926851027309509195101631",
                "121191233941554623618755520907350395580",
                "95089121740216742833071456708840431193",
                "62075066284888413231880234164122518418",
                "270274478978338246450344648959717123735",
                "71507183216270345564969641127573664193",
                "79659592439558219478719759944313972887",
                "146448192092976787062151998524797984680",
                "239419497655146116590236851758504508740",
                "298465660545760964737390833858371402881",
                "98221520820706859512881822866888199513",
                "190103613374613413599885862218801305128",
                "329027538481852795105595476121848964234",
                "67934084804985611609283485777003437688",
                "52693490423975008016383202134472687262",
                "71985424755889677410074784023864883247",
                "292594896813241883498095742848390431256",
                "265610480345478011617480319014084193695",
                "77065669035782732503157258820836636455",
                "327806458548450439220289314191447770665",
                "59948146315803861173769670945237744511",
                "241742398155121607032466912156016584566",
                "310852753765954022267811482630386381758",
                "73591658686351166353054079416193388458",
                "141095467853659226793238136175928186101",
                "245719768234134766193460926340030528337",
                "302459240910660531069206722840353926558",
                "29968709899697013980793081924914959906",
                "74894905934907674044745606630799393820",
                "310376467214670409792312995323989237321",
                "188301003947369531373745040109033919515",
                "114197877699803761534133439717199403369",
                "95250216854307116601338806480902388617",
                "301703421352517875953942069228800210599",
                "15473343405740531731780066745656101812",
                "73110441241921503216764673367842098948",
                "325070813670928635976321230044283963457",
                "115244424153756403508931880455869043429",
                "192555046487042855511296634855333264941",
                "134373971551185236511256249353361617763",
                "60657415994055172519032818758025864491",
                "86523604942546028212873930390429152649",
                "302777112157389337791808462138736161641",
                "261739404595250486455850924325909015720",
                "143894408923385904896019013375028796059",
                "18238743756949961999742835717932828466",
                "156395128379285742498682385419327411600",
                "283274722331700703522238897656430267212",
                "66604545062812693263577857308046587022",
                "213174409795225199877439679801321692700",
                "312521353309923463089422153079462651478",
                "24976737851319386636097633056449931646",
                "237114230645265304711110675217444201245",
                "168153952835607551859511687276668112671",
                "5551446402667796617633378951729697111",
                "271416524729234991810794019514561675870",
                "228613568301727451044308230775994911517",
                "284714138844700536852689568715507905244",
                "179550142833295782710107900877465625757",
                "48994609395368064688801737420810308379",
                "233290635806856506008609447764548022607",
                "195781385385131893674955492908812006565",
                "87733502306208409649124138879978497335",
                "90181983812768212332613175849130021775",
                "50324242181427399769522960157522769835",
                "36153401874139918284270819713949466523",
                "321467889269192064069070888488585527927",
                "125633372981565553920988169717045327285",
                "337086837886901546650848871462154060677",
                "299601660566493624976304695151051396115",
                "223510721864050741951277488676049866554",
                "61776046047541597172551249324224846468",
                "265990220669545387085163293498564714431",
                "325169041380265014969248234556251692384",
                "192535111984376901949976610138356058331",
                "315422583086790214517091745964335300750",
                "175948681380645131898241719631082995535",
                "165927620543486243177395807765987229468",
                "272520065374116608680689615492282866066",
                "118298642999472164973198843853140887446",
                "45613281854878548779654698511226492374",
                "48775040213041207889923807841041219966",
                "289195177983113622230506994801933069796",
                "115611804625375989037352617166179006949",
                "222408483921589920321654829247078220880",
                "334358292305085286772275193339147222930",
                "114754450749962201177488176962593071356",
                "157757423571828146105094073772699385325",
                "100562344538145155147208572711714161991",
                "280666806271831635215076238231225548932",
                "50442811951800198328438097693940591654",
                "246383003362231998988814507644309352825",
                "200792169108197129874750631327069294132",
                "215934847723748263198623694753000462900",
                "95550556366596272757961600854635036254",
                "314517742056653262689378761417884050028",
                "87684828378127394045706512758154501764",
                "43922752993346224263953152788046752518",
                "81084416928529384683981508060667473056",
                "151496336183392300225119485916174973695",
                "301374667388555001504238784956570674409",
                "151484574572722173146379948764620564282",
                "42022731221770719373934272132776803850",
                "85666543383385730485534799129570750134",
                "141314444999673301549913912376912993379",
                "176384522715769206038706111185172774308",
                "57125608404117345876182807210946320389",
                "200758233795760271844837693906140821456",
                "296567002605727121250132521960971193357",
                "269127648412968544605841150292926096484",
                "249916622902990928464892658157650174865",
                "38694981283809685919556496295087337659",
                "193383021555083134345307983874001686968",
                "17887053543530102307068746080564404492",
                "245521080012582567497812840001631883120",
                "143426313365246101161992767481577297289",
                "293252648998499394156711329665154681546",
                "319264848497783994584637815348328386126",
                "30009052629381072561514951680911905839",
                "299902161921711841394050198939409175604",
                "36372307186912021391794608761757575246",
                "19866941477896369086464870938313966433",
                "195052622492228325215516443298967085416",
                "214827949207466260924850545982104232282",
                "199778418152619611594647587101160426410",
                "17859350682179900124657846515414575395",
                "119758207254194768597817867552698983901",
                "89367316165057762630552395689977911786",
                "115082380194960490048768528234694173181",
                "200819260051573792341441427858590816772",
                "261023817574871810738216607710541377920",
                "38122603678297446257042172397122767473",
                "320774358712405319621954437543243882251",
                "188894329532180484651921839001353418964",
                "136903229011221208705590442105221500730",
                "332553612632481417963491356749752398146",
                "333101867945381686358046936287884521407",
                "282519372633153581395835258658408704457",
                "17737198230740921273128045087172087881",
                "95611741554698283725617020832215529049",
                "11479684449171340410328195204291435710",
                "21464144857751084774199438688599387956",
                "39273825121652403907905112160453444344",
                "275709806059669478767814956955881932790",
                "272871775719494842870982058166855937330",
                "330424780267969400830896058385746620787",
                "182624662576689773940007745132926168676",
                "292836675977914816836445883232011204052",
                "90503998088966860606813734469157974255",
                "182120741567870015149236486828287767690",
                "308011867130223533866242654050365687450",
                "319794130802936380897205238308098021855",
                "196783596424919197284620652650201943374",
                "327120505967433595453805041008000435581",
                "89498370073950805555901788463549820458",
                "204516484377755168714653322245084790480",
                "42739680543132581607448228659094666369",
                "31162322513496204040024621650663358180",
                "200897923876604715191796876617324579934",
                "178545554088545206728028692868808557252",
                "54349174094249828640668435087167455294",
                "58557134393268894284031047693299268129",
                "89288109047214170584185085240142430231",
                "309509629001356949584014800522890670656",
                "95727258162700486313610593344560230989",
                "54490033593576881839880786574490358840",
                "103905412712019984247531050035241332052",
                "185292139070071729155382374112346501637",
                "142515138434734673110035156615699980800",
                "297952450277438111623232927645851354222",
                "211246799019727743429769674821187382543",
                "185308485580540165679505351145019042953",
                "250689557792202383759508993885611990146",
                "283821029615652125147985451618340318393",
                "274338162348868442905698527878625913293",
                "311961341248355933053516301299511936088",
                "162220617131929238492038863745637562796",
                "66215177402943080791477272471569343255",
                "162077247932491612757720155918776787000",
                "242311314218512955048217448922693811404",
                "174681595021719209594726078015968087722",
                "288063026084787602129070689493328287465",
                "259257513812858795729904832880311891786",
                "175540285760688680372956511989674092819",
                "49077949315477934154197488661399518002",
                "251497026299243941715105152948284187526",
                "246870344632999713283273800004138628624",
                "286553750627018230195944051586439042764",
                "20025740529485250581288009747276591953",
                "55974273795192681111974858254009123744",
                "78819773509551119738705126722682186053",
                "311937841212090360653775313974556689355",
                "238708806372893640639973404383202130102",
                "16918102852463932089983430611526261461",
                "217734592831726299787677357436509289702",
                "331023365571796491036243329908035799010",
                "72937178474240551468088837091306462929",
                "205325789674747254677144436900521026555",
                "339606344179750901148041501843798787979",
                "289145534316791895032415688863571050063",
                "44198857813430691105246111450395289480",
                "253043698197862597596046047429779106460",
                "331055940763138972561033617694428025307",
                "36038067958842346504421187312948530205",
                "105724770124068386667338307354736391976",
                "68853057745077613150882311481852920014",
                "241709082685089495969489598833673672467",
                "90459697369144629838662810920604919104",
                "25953871831719182810871965722233022451",
                "85273786978515875973582640623794661660",
                "284307549304899351597427939438658813478",
                "330554268356025728393317832007348867265",
                "296183219128794472928537163886669897246",
                "213151351855055396648126028800740649515",
                "327437722569140721739457775192486663547",
                "79540473898490089232547339487161710100",
                "96171093221170140534574067727970831882",
                "232929437240161937165065172034324610116",
                "82837595278290396455827290053432998594",
                "264332094961992278774318232863466063659",
                "83216596509038524390708100247389692504",
                "241682656538164685014708324059350327109",
                "205485251463332028683117111397077674014",
                "198428825615825264206665142656347074327",
                "13215912109865144876226009000053379483",
                "264317288202377289286181596876429424955",
                "336368508188856299385706551488433814186",
                "32258840069577104995370832081265897073",
                "314301155678497927841628328524192294501",
                "98093163719798532438835180302104249466",
                "254602871533183081412110965602387563333",
                "278098795624530669990760822923482422679",
                "291449078414357782888965863488455957649",
                "100631715345083187021483706874936632932",
                "99864561818396411746518616838498646211",
                "231657909788168837430083056576108661734",
                "6162996500002243884461509937132349518",
                "131644788694011607980030488802353266107",
                "51964779450854616167006816323745453125",
                "115414246815691481288900175877640897753",
                "85813099580672295527398375072397696777",
                "277519895119380657234712231997821164039",
                "191933985947237903526642155593991403283",
                "1341639769507138207261019139495325464",
                "97846990034300942161790193378205257957",
                "60122194357552148597198764112287412990",
                "163482917415294291050796707370795035064",
                "111067767907046805976934258221218875551",
                "84469908262172703505962503885268226480",
                "246065112616012159132260269529968641538",
                "130633470168447464511944193813665717815",
                "186061152250531593290264828322418724180",
                "262456702664165722658206794416129568453",
                "317081219188009115100047176072585345645",
                "63576827091701071944799844899371863661",
                "14081567173952754401119038373606754559",
                "233345841468053511521597549934241214213",
                "319378742912148945620099504901348722439",
                "214705000833614331241816117735802458418",
                "22951238325570637471265648346719185601",
                "141792259961263302684240384601265650880",
                "237262930831616605355217566595290656924",
                "29794033923235277858270255320542776951",
                "296691147216904571749383156959646197756",
                "149733465097890447962601491601543777600",
                "275418966982090361991910762688748939415",
                "274366384312332736524857366799098002856",
                "55245417448758237720259391358007602347",
                "10896727531175882264317772577021954478",
                "247888102241767149019322345279365237702",
                "132771289821554790503667133355194473629",
                "164065532437454963832743452690583956832",
                "259617998511408980140751556587791783391",
                "48589393522490719314851871512923247280",
                "291638433080049989346420574261469072991",
                "289191690089721912676470902038530503699",
                "133205566361761029887962582726040712508",
                "192906315858568338160819708887926580387",
                "288616741355920625529145028153654918336",
                "280747831556214710943866568905714247717",
                "87979374398962295080891890113722331056",
                "239097520790504744493110860140487649479",
                "147240147638891075316693440178745629496",
                "326040984628397769997040668743658987604",
                "308618085762174777742609607639249842480",
                "54905883596551845494085927444093173770",
                "61709821617777825150093355305640372664",
                "138656515577309419963841820128925657759",
                "323115291864703445909331797250100279663",
                "160887362954558938910495973480328533250",
                "82760188573528683337479189570264956592",
                "298912081303415158659722658858050775685",
                "12979395182617343663087095010316261534",
                "61367951445690709052660502451575232593",
                "19355995062240807608189254862896068973",
                "233942655113647974477782718672686512548",
                "306417941574374616759531620696572846305",
                "92584913219999864868805180771371594450",
                "144875521285300538730754210128178178920",
                "4298498919993721442870287720146922250",
                "83664068996816335298985908054015599445",
                "297737086050038789148053978663509351375",
                "224164114240692401507690075918856449010",
                "41991848483572026431010653157006665422",
                "73303870381184078068643591707233784503",
                "286374253835299501258305459456039755375",
                "158983849464241683203438116492335208420",
                "104737715491020117372206473110319962482",
                "105439918359107386869073895344273271709",
                "29508964659743270804128539214992604369",
                "146693863915371156782260603298116799657",
                "295308277948657122563383238304618954160",
                "116704014726075176190023994302401186317",
                "56744280265005541958666523550116591001",
                "326618948046984769145509504416278170591",
                "318862625101527109112997000335147697754",
                "82414982865930112700976081147692934089",
                "133562345083645953182858920431763230428",
                "224146082703144482982075820656125990342",
                "18185364190337388370281495161505233101",
                "195496204536888418744550246926427035979",
                "110488338788798600810206761707731757956",
                "237663017515229402337523808879859575438",
                "238953706469503812769801101962989339408",
                "92424013763263371694554213332228557642",
                "156872023778946570656417246318147134393",
                "138202497675006467928164162290137533447",
                "206935706582641623077972507813070418550",
                "75842744066170748274226692329570336959",
                "141705479164077767863059400332559958887",
                "280159475703193677249272877702246927596",
                "327973118414920864279218951049859928708",
                "338024920653591116651051296183736867419",
                "122713311609748390561199761988905819601",
                "282826009509578615506951152486782361901",
                "267757497080283767415900623031145361483",
                "71114684668803314870736520923674453245",
                "54877307950082099010481671730033853522",
                "198957132807992197065791052507935467712",
                "320672377641297250972860523582415967836",
                "98955025749823638657663312964382530451",
                "240356541145782933795267953286482686838",
                "22026812426544437805350961422429107450",
                "22593626485510951636990879625310374349",
                "103764337494012623681040940597097205733",
                "110324259339119514451509282502074863095",
                "47235005838803530571254297378664041326",
                "108910240862164127524972306693200840654",
                "297510331845848280413579766686552138578",
                "41263999526415687763170519833752407101",
                "239840399960345837484106495907702230135",
                "124456383423048178135434075818189004460",
                "10210542157177830581085454830991276394",
                "338424921120635476301049367582050126308",
                "272247251382430616292923223864207675282",
                "13855295124074419768273748536675840610",
                "233151121444939213346821548696689122176",
                "215412163949024654162613829655500616655",
                "172705092461822709082029430568044812",
                "223545018372596579519846510914398458187",
                "215059806022707264826456606951401317292",
                "319108535454186847219742339252625295692",
                "175160672383790323162459142644267438351",
                "309447380713364597985971006455574971490",
                "169781103907047366340856976037621630186",
                "239358608395449623522817656152774865812",
                "195723747742851653025640259044251972126",
                "97947265315668990100456968420236558979",
                "318789381314273580266778791702717316829",
                "207562499706121699125540426283491247670",
                "111659331835916453006853221158912077594",
                "92566128339126236006539772020990713696",
                "226490162907165473458886964672894695933",
                "210596034573917135001963123647843413275",
                "125812491102233570604554431451734986588",
                "163765921741266033537365735741541329850",
                "143067211875497256456943938376714277009",
                "120264166299105197112542992834675063355",
                "141854186940349675913152431227116480113",
                "9566569224192832952770092130455644723",
                "169161264105788325803042993275487664402",
                "240769672454870581452246664623433285151",
                "211935274844934162729131835625297997866",
                "145917529501396488688346720146794712458",
                "214658722303882818342844021858740525597",
                "322153345648990832951068147555465640070",
                "129419344946509325444701457859889053443",
                "262956093248096231473191233195974352412",
                "121038820683329462331680518959121385979",
                "9612392020013745904745736595988247875",
                "197799609636225943098701265000187035961",
                "216694541908748678149677281329866234219",
                "181536047820495902820489885920812229703",
                "182124925502830672076630093957504339734",
                "97119150139989459905171902142823042400",
                "187886326196035314699356530366469426349",
                "292234996126933730380311518138230008153",
                "97279881719168397745308602933993510202",
                "56747418476540106719236853052139058271",
                "125149869136073693948960994960094215989",
                "279771716409006617943887730580476915995",
                "324640670600409383347273415697759138841",
                "64390762350473178884231136971302828202",
                "149424176193556606154535848207444478705",
                "327859717532912210460793159328333138359",
                "110839543956197288896971448747432526200",
                "99225799193572347362273310457302414053",
                "221516175126389134619928899147932302290",
                "71257934276546032554649664700081664521",
                "327036733642131303749544065294934486446",
                "125590773822519750934040377612514146522",
                "201179805573294614068977368440456261382",
                "54548276017679908975002241565320341810",
                "242716167635948675547576021338729842127",
                "194999630698002965658015547394317471346",
                "38587617497628648474852354722683578899",
                "272319015736006859607932747371801830160",
                "317321688515703921151952096972570280509",
                "130966778380705194467361440653439840347",
                "316128514079958648425515060337361745990",
                "288496225456888765778945762963592862181",
                "144318524505601233103835303372421305735",
                "148875450082084801113022262700059877898",
                "172143542056033935869548269027925438710",
                "28447151009758111620698079456311592098",
                "311509814614255420074540661895409860691",
                "202791789076795546742151573379700356814",
                "135801052136409155325287229129373333083",
                "61427188163054038712233774482190768130",
                "235761797467676922037749415067929887952",
                "231484375148991615900621752990652956075",
                "123641311389706756477716736689158139014",
                "152918286759293986114433367371118868530",
                "324846395382002376738121178750949671743",
                "120137696820201410138251139793394441716",
                "172571496208373665301467910226718795196",
                "338501126805542014387329560472753728063",
                "39157756344155048048119873936655680879",
                "106953698400811575731156498989520771522",
                "33039116249637428149366775537716657673",
                "72952532523177611350626423849359186684",
                "101330919152382615362238481184008903840",
                "38757282208214753693371871217047924602",
                "57258083661946672041603135821443935599",
                "249266627935311918194676805861938425962",
                "208522129972561817673322530992335566385",
                "244782234365255245847796725656287259623",
                "22244251349419045447031951836894768265",
                "150922773515098891710360972396356780929",
                "292390623262901472524239020056226250309",
                "175603335887945576338184905755240392972",
                "318473613242823067436775976898941924973",
                "31605758699423562063693024315297915874",
                "80046194361173680299386812956492786966",
                "313693333530083647661427310970851394329",
                "335204426413590579104649480215591752528",
                "282649043312089670694373979421111041755",
                "176528011484398031533494782676408296839",
                "322512448837063231273087151908440336448",
                "68825785666573762871046835498935391364",
                "150088043838674530783508167067611589812",
                "264758989311941130288191525560758649724",
                "126252519458149757976615035554515115082",
                "76454906671575779063136847880223474075",
                "314914812540609611355254801447425686563",
                "96952117691970305658286118824142275492",
                "304823311407675844680438807935278962784",
                "186210510887503907560352864092173131507",
                "201582879084318964787075381700510255236",
                "52697999193919543655746635877277919271",
                "189109108849043466836040645772208083136",
                "259345999851580492965023014969977019886",
                "318035108451375455031983077167833859197",
                "29337700600837574576894734094086302100",
                "19101378262872699211899347319100194843",
                "112187991411956885518785322624940295161",
                "66381855543334514596209737823008505127",
                "7468680991042438566966785586293977668",
                "306474470351103068661410613772622860664",
                "108828264163783889852207094272288492421",
                "264130505178301792422172773168902501869",
                "185874759127579390685343443594775386470",
                "104712844537260552195639058476138290111",
                "228847212546209117565201200024347395311",
                "281370562830805598142927052979203917158",
                "263277935322731740319872474495225210077",
                "246935344929639079320836028497695148106",
                "98540659362577115884615111428137358881",
                "180636396309482586762841398650752017174",
                "205860553971900283030125261006061262560",
                "93117114435154143682621346309252368159",
                "294844843386480468195072724834033075390",
                "295965699658033828837656052072932336901",
                "312204815148361161462645724260755980030",
                "148517402741505167647161691078824831179",
                "17485147297072655089639033374957731580",
                "177287426008249332617012796222407237454",
                "123824107804536608840244688028102640241",
                "101313749324903017681870891125519053471",
                "309681537987127272651838522704895798054",
                "320753473831081143095216469694878684892",
                "130616447852962176569630408117625815582",
                "95698804709578662730078247179073563748",
                "331132319853989965270580810425307115023",
                "239738753170484545871980474964915319670",
                "78403220576392465027455187501536362354",
                "322100944557440014626972308270756875831",
                "62235736915288321832586901933685358154",
                "53716070056892450029047094968014908037",
                "214123303584590081160488428923047345437",
                "219159669962591953460276453044828726698",
                "155264197375764345504473445774596465311",
                "103597446393669351909369482389356524185",
                "156381032550525683082507884400371999794",
                "96669558510330478710238162650815792832",
                "38813941810818651383062890979209298243",
                "232292905499850125626292912316727875072",
                "30161851770153724395584584035547152853",
                "2257200308017703197754038846967061884",
                "260362395938606376241905611695426283493",
                "92347616239404923874901665122819536103",
                "76203902878355516471249165469714693786",
                "50006926347053186055244259513355185931",
                "272735697718681652449618271350977851499",
                "227624319638826101178731081535299802404",
                "152028451939579637013750417734777690694",
                "118586932820637188798081906323295818549",
                "204899166988552412710903378980812397000",
                "224356952604578832122678356677895304142",
                "155026939443097617020155437527026000920",
                "101877514586192555276024029142317792970",
                "226918226717381705192361059583081464557",
                "184014357031208821324422124799852427673",
                "238233916834865117571144210525774528291",
                "228003482199718907394445963053344843718",
                "223253567316786796253298944810755986831",
                "270970681750089037259347126097830350922",
                "219708612833670470258176242556436576401",
                "169240500486323846415992785743376326450",
                "95769234442445684030004819656450724115",
                "173827330293667351491104168173187880328",
                "8028304696256199198780389757341911938",
                "270285052529533846552911691059308379568",
                "283340156050461609977979961873008674926",
                "15850237346228327033908823131755782598",
                "285315928037240348298696648450539119693",
                "11355027797316168645682487229984755424",
                "72879945929664723676847746383583392725",
                "259291251340819932374102840726322490745",
                "262356676529544685013455770198920701461",
                "124079958999888922650660599770459468698",
                "44329238319348738578910280403585321005",
                "147629390333072736942946887606257608027",
                "93259714133796371116879814485468711428",
                "294199316793075572635932091764436895840",
                "262055820711698053418569073514790179782",
                "307644013405628538971022140566709825519",
                "305808202806471429026725044027137322735",
                "31524608596039807612282052441144598643",
                "238152405416632069907702535598513788958",
                "285427324094983687654899117044530446149",
                "316385269570767944451536236443244000496",
                "123351056947393021584773812690462716423",
                "15494265874372439075756015664528005762",
                "122567863164610697680636835337260152961",
                "203150715915029684852903351097373454213",
                "140877025511547242528644808252704075952",
                "165944868692962836915558475442617890349",
                "255814375735577437339069814948230016854",
                "310903352007993670608400471149853951528",
                "338619311500564723730055694128639899322",
                "220829372634943084305773960038841202865",
                "217561122209217200024487033370615911084",
                "42909991594375291166679559002448789112",
                "20342559842942024053056484927320385629",
                "274023534409405956072410876686604831077",
                "218333177271455502060682527180702058879",
                "232424657443130328517958682692475256110",
                "300020685029170099244707024757066304529",
                "289190617752651882613644620232718163077",
                "258391591603459087692282813797553823226",
                "176188511859673186100546197602407703282",
                "309805285345431735546332800272917680289",
                "263234509984896247474422616028521544542",
                "335035890252777376049520166610271911701",
                "205695077986276438116686998001251923328",
                "117360494656055120241801275842850673293",
                "109540345336590768381818350156354871398",
                "134716473441604304663105738394393722883",
                "208832178855813191949126524578807928415",
                "278193307153256482305274111220154962305",
                "26468464024276242390931804416551377371",
                "334412409755395494912293180272923197431",
                "128509910987372943874983946085700459834",
                "327558765916296880680694112405874579070",
                "5841319268909601438819710383717101759",
                "276398608501852262496663994680968581624",
                "105501581084930995491552288197595208676",
                "157420379016930327982127299458442865251",
                "93944780767555482825398244779784878881",
                "305394232242912532392891098835943466585",
                "322326220627907835743703122286375251340",
                "4517055327738991611395796713667749499",
                "44567086248537822943449859108632364896",
                "59075316843338122328862662808606072147",
                "221692041735520268907683210695877913195",
                "291443764485880632069683542797738550681",
                "288376116921716300335814366248402580475",
                "97905545708995802908370668609940488445",
                "246057883062226677526658866274671299038",
                "307130053188548496580456221884206878300",
                "285973264690410102047059488877421512937",
                "240591200589997006872868528938218771818",
                "125848140629147491271853791508829269170",
                "188251164654402073286652632221349371672",
                "95530178604718481681496509878697093925",
                "217060750444655522393158792920472034826",
                "203073485296989654402856427017543251405",
                "99222767273710119639718289405071712333",
                "258349801766639081360960684075683433838",
                "43183351083013186636646239683456867463",
                "282278276330062867479372226037699777973",
                "168370743171073717673761770184609980913",
                "285717080156935216021028844339384481631",
                "23108614921254939443955142925290941682",
                "272425361662657109392675799923552799664",
                "103146188570641827005847196333087242123",
                "226135877561102015283762231832096043664",
                "320180824609328300766042121628609067047",
                "5931557300224955140549118153680630900",
                "91002825484146886036405870649219148896",
                "328986182660401956293447202143805484215",
                "147842002327137594135352771496447993986",
                "233739540849020561207025422078293161644",
                "317221600328709441853025916471141600330",
                "240976400508359995981642525898036866236",
                "239621010499106899036778500038538209470",
                "213018583488675654903534246824953300339",
                "59897414235661173404746360132606153878",
                "10694629525605692727402682012016818260",
                "221548443168582685234430350738568089052",
                "209053990524365489202326823596940089348",
                "99924852372187318920114672793763044141",
                "329897283789260777544048417844451602045",
                "222158040490774682578481093237686590771",
                "51979900821120231275648311806958897301",
                "204838527900206138656998491500204397824",
                "284090387095680435890854747873781259610",
                "255831620618362288247570458580308542867",
                "253828878185681799809757290036960096655",
                "327275968120536924023834046858807115130",
                "236647977566885199732917919090898776263",
                "209053299101039299423884632046351910213",
                "62537851342675253492292526301449220377",
                "130995305179699616264654287690836543088",
                "261118182833482968646889268581262878914",
                "264239885465430153801676506660933867174",
                "333327232773118038652543306583282256819",
                "83804633713779069246302468658624911258",
                "96071888312528053507964001236367862785",
                "99167633515491453344712280884025333606",
                "328929337206501850487497851751373207016",
                "254759659088683631864164402798478522459",
                "132000151038627156953939994083155997438",
                "101687661456078741150612941721103562440",
                "436587807508106176293687703369946610",
                "31589777423695664817920225820677382191",
                "293326147740622216497829545428064796975",
                "159758246142564462427028971708700220254",
                "247252227191521393351577150539227362024",
                "199494694678399031534239254646754911834",
                "263123018094398898522101336732177149019",
                "60988307805996992862482328458923671015",
                "44507214364335717868743330510234187288",
                "322622765891635850085310890476894446236",
                "182562476024908759508118122222713892579",
                "257713190095516582523408309478344169230",
                "201843141469599414594963215462832148834",
                "196878381788275059644180206041985594905",
                "200449840564661915996612359314879409610",
                "268107799119962565819503179758999133620",
                "310771845344290976749920191369269358388",
                "34245837373389697037286734686921578791",
                "105159826043071363783465658374191025292",
                "102235270763948660231580978967489836203",
                "1042214262174050579692638619928049607",
                "270799179241835620828216505214332881189",
                "274902368368124925487633415627861295071",
                "332362817569749678379162739391761373584",
                "85512288623895615527761766338592157197",
                "18886923631246782207843123330157381720",
                "246684569453533019263842784215848257714",
                "178730784202260940513700805591017496723",
                "50161166238450140309465293365657909678",
                "200395008101994807067750455762225671674",
                "138350135700008883317057561755242035812",
                "285373994817987577600202775160936229573",
                "120863846725047129589699440257105215590",
                "145411633578967951797352041482292041644",
                "212065603886937452179719767998387402805",
                "74565199193760658052422675207494489866",
                "82918894675319460915266188832226004320",
                "163900275816082382895185600034301802869",
                "88876323557130907128736068281752860181",
                "332690237709172904966360733512430598697",
                "145760937552682481514105683282638078350",
                "114730074282861283343701013891110838754",
                "154393858987847163739171067102750491414",
                "29458697646620651723010732521274817634",
                "277943356726375414605973272942415445198",
                "220839042425526620949208452425036564176",
                "90323408743650804848820990633898261217",
                "73985510846049578829323633156893823613",
                "245051530469613923546450383205169180109",
                "88883338730423746200129284377024280818",
                "273086785780162002875351063732626365139",
                "22295842908954275879816431265799511907",
                "240254835278959331841842641776818005142",
                "161927198632393319630569628412633758302",
                "240423867885648758243673922447269937727",
                "314675303084357145474150152717786685757",
                "220541897719120536923046873626269267327",
                "212300237627515288839814469549045248950",
                "157828237358629859828128629487423282262",
                "92348932796598131910862526908402050673",
                "114680332784521246697281189062327903699",
                "109360852828629532417421354456333630748",
                "30325962017499842898617523168710994659",
                "135284019766677364848566716426389952443",
                "11867447050941576532935581865630216854",
                "170459071520685615204196189068924509896",
                "63401268255108908626764918052072334112",
                "74503735581673370407962563260557617700",
                "23187653030651961511132558422070302628",
                "316092783074143775501956768516458092476",
                "324469185387937185103100789135335071304",
                "121772257531276070538611430509789630313",
                "287571455851509949685985066382543695653",
                "33396184153091320416702680562611710552",
                "107171722014266412989231497894920422820",
                "146342349293973157770790633888875507024",
                "300718624178463486915633011754946340284",
                "62603324271460770542558643015733299671",
                "92119724227830719587369224847429391917",
                "188067360097399735170975537592385118093",
                "208795388242601555728764146479328572791",
                "18705992776106683688502548635064867043",
                "36390801238220629946507104266383092671",
                "37471141992520589420085461778263381477",
                "226520705273662029599368508038515648210",
                "92491225902579871536927694783175158831",
                "264180113378475259177895496439919088259",
                "163978895479396335202265276746354595636",
                "214669629352001452082440305271323605647",
                "225144537909956669653307716264175024994",
                "299932595476723819715523064294055639577",
                "326545080138830311285078062934088534467",
                "244811228820905071963227881467173737603",
                "76196461670643333207029471525983116619",
                "281566146722597863900855658230042238747",
                "170569913153447443935062419326017367715",
                "14636383886981872765240870925441557868",
                "127493115606713930118167355189575559292",
                "255505136348943533943360813431854480005",
                "226476074377172542047919124326766259010",
                "245742956677884134985710654548980113730",
                "287598411377732007764988014868188379472",
                "151860501938677270784804056658720054837",
                "67987023601763918318644398574999188077",
                "210983424759630235255535292579377447298",
                "217021046180358790194777700470560588432",
                "133388747350090433988177933878225023371",
                "178771418007583662367463424370890354589",
                "127401923800573287100023061075655297442",
                "326746368243486586643995777279400813691",
                "128753910431517454353475016843251097595",
                "99259573928268004164244304784057378064",
                "140416421256039777039561579686688294624",
                "212831485247285643243097604536144126810",
                "122089938849065398961031701567506097052",
                "218272170581970580736488949610361823774",
                "214006202706647303818884168677392318682",
                "140605516730479465171593776398804112076",
                "98721424951400865617378860388134727069",
                "89378015857000826184240977059847985409",
                "248894576835535060224007577655808363346",
                "313806161425356257135986509998639553985",
                "158723863053021746106832078399069145720",
                "122383063858126446167821243474729614303",
                "168118348231935596676243149361630758550",
                "31817831985644363070496193153943649836",
                "19181282515984159579711372149986653731",
                "220234571479766623733567212504708266655",
                "23529284854096982231610676624499082959",
                "44911597937265357889699005125101273780",
                "237990953567896889549031822633387298780",
                "307153901290554928376086310680198459185",
                "123242031773042373720434256838908658723",
                "144556118352101568664519415891335230695",
                "97543394433994134188640470954906305022",
                "142435630181957248435164875003520059461",
                "34198945171724400755761022527865340811",
                "85610397431788947211113481054117587717",
                "209909146089174134133469281307975164431",
                "235621317825344793561638805348184524909",
                "122680493871762470092235087628011763497",
                "97118882847859198810005552818466336884",
                "80549882397552314557919745253375251418",
                "137137794557272298296464789156069517987",
                "217476552134181603765624521558038699659",
                "280327861104440799793716613105292085453",
                "130555290763749346742776073565719243819",
                "285443725398591483373891306272452535702",
                "231028742664232029165969738001968125030",
                "53735495723285965110481145892977839068",
                "84640803418527723260091109571815969991",
                "306999312687762100539725128956510636498",
                "331877740753381090218350501082607632468",
                "103433250794858736582869869556364021149",
                "176841516255785734763394084529464702327",
                "254087206758795915464994762223280751930",
                "130792361384108798523341595596326884693",
                "112214616358903262382525960306115134033",
                "300023820879423463436453836068577082957",
                "36898841206776424195744352442360979050",
                "161572923943660913685742129781213479086",
                "27045987107523443701096084868019000307",
                "111001431357585683567993795942752409973",
                "333847002784990935955233163799209373299",
                "91032166460090024693701614259118410621",
                "331548011510631311126777700211298131231",
                "333146578398131457377641431742648651405",
                "160665227932129565489801577255993828264",
                "173602719272125335285199601684920555121",
                "45291223973260925815022047742031641351",
                "160798521102120003054177779642057718035",
                "291622986772701375195178888460804142096",
                "297294915475308178417524944193937183324",
                "102660870752091808443158711406612964305",
                "297976868502850020041022399331396398088",
                "274127273418198724491327982702020254261",
                "200147125328090710196042412905988614241",
                "338985485821962056972005057837736960307",
                "128992205511353593642492260274523988331",
                "222259511829866343943482078424781202214",
                "281755146082166801440722156706741796720",
                "4062489148301294253932197971090058436",
                "287386625738335777601378673958519791108",
                "171539721251599865227004892084657927252",
                "212317359958550882923668250115369456365",
                "240702211881498201048354310231880787027",
                "118409309281487238656398939185911597122",
                "97525850048750865328000022388194527585",
                "218348082458305676055947167984296294553",
                "231226387864472581723881259172962345997",
                "23063755739092407016861287618632713239",
                "115784672465615200499897165440167670236",
                "185497753099297807514159192876440131066",
                "318615561048455332234664940934538596490",
                "130110200239624683167757026303939056387",
                "222147646608651116812995386000901773865",
                "197268418110247464482751772132837561671",
                "253243224936271129445443562716736317126",
                "21335642473168448252732230193537300543",
                "33104948717664648843979769700820652918",
                "334439912010053534578091901361555408879",
                "247095361199451745062868769796174071994",
                "338461956822634143708211873696498706168",
                "281674006841372251833906254187203914062",
                "48230801581706492687820982110943082376",
                "56763134993327131367558095631187770148",
                "51518546503996131176271161453466622054",
                "312521610827220023902193991752048523955",
                "28722483879524741633077569411450402008",
                "21758789613656096688925051332114453293",
                "88781147335429007825126495213360335535",
                "53243251005668873170603963703521068476",
                "296067788260188342520050040786759505188",
                "64653003937385843919007985205212180240",
                "299184748857604960427962759632308749917",
                "85992902825456060134459305624749350998",
                "338708430690107067502019843294374864923",
                "84154339115064016323026715322970467913",
                "317092640989060886405707525331730009624",
                "77672935474028205898833241858904398233",
                "229124692167308389900486553088840110805",
                "145384309183704874622291357847608097155",
                "197182971049624376680902438212615169408",
                "40844617134146780547278355334620510415",
                "119691918363529668722648828518926646361",
                "5512326118999532233481138577430879727",
                "230533800745974315928620350270933317387",
                "46975440054708916996828787094070324027",
                "214385792122511098867817302057746801130",
                "261679336666919739935544775328019663013",
                "58488109306735374070326911111017455571",
                "65410612567470236823816652310238401868",
                "11779402782270912977724177267704032191",
                "278413467574110683567744800456242860595",
                "100419853018912577224061997312002722337",
                "132329425353571449590645941486756228040",
                "16850684874098958424386354342692235193",
                "232508681717990815574982608851119499796",
                "29477610285890164707339731120006296906",
                "147685962448410954893099027447867284264",
                "79520162278276348859855349266111951826",
                "52010556156871507819504323571652570312",
                "266634106913284162774507387039032573116",
                "176952864074943059105445861423646183935",
                "242171170159559466750941597668996880854",
                "114108260290372269968629009595395895064",
                "69961206421274227253858753597019743988",
                "106959974611003944250059815231245212476",
                "332003874513067338833042755472967152557",
                "315991349805289011036218372678598258240",
                "241962517397831024471851265119130373945",
                "108626722326400568476279423360714933466",
                "123907150969930346134629780360024869904",
                "187196564464626916965071353453069981457",
                "315514413743889882778999253585954285863",
                "200554542609052166204652281416319273440",
                "108641405290465354517360407548493088908",
                "13779058975006464049133264351735288712",
                "150540181156729096530612854076249559362",
                "96748628638201241011985301644391760736",
                "98023343074274257002446587225918371734",
                "57364645420170390408919499663438639147",
                "209365354309053713902518009713826298058",
                "154447802288831345500576868885964541540",
                "76181085466959296926677980235905163928",
                "29184960403976888175507942862321887448",
                "50954386125110465081110056258414970276",
                "144774214948356765277109140032801596852",
                "126376372084863777416340825904758351457",
                "69386645179588781391866157661969037293",
                "4135400479930161113114449864951572771",
                "98314071906165904938727011454817945910",
                "112620968949770439995269483921904690707",
                "270955168889569461337866134301318568767",
                "128003375770323124147645649367028346516",
                "196127801481164472129819281710476250160",
                "86040286385137379165927871585126477275",
                "83933486318889188696683996339814878768",
                "189409124322337263519942357668328953106",
                "144642586578626116323248946771836993923",
                "29676992843863744495335655654484975159",
                "229629525832644211050446050295415576434",
                "217123556475346467045748927211631846176",
                "186059476499102360826433241567478089293",
                "316527223558728822101559902973805417178",
                "109121266773861363101369347380632587831",
                "79400377924934845888074703804738280567",
                "244827646994043728673128378728328887013",
                "11528335830172408024174856460274843526",
                "204774897077912457411926220149173165418",
                "122616752237232492206284198026069525540",
                "303524626447783932699397223240245785701",
                "215359000162360750386912644073150713504",
                "69682591500119227325323741852429820149",
                "86789456600263872904940397317785741645",
                "133694230364963616265064816135746425526",
                "193236013491081510906629497284673763385",
                "35384314545362763822812838506842447226",
                "136736427784754583685326389598706121565",
                "166004647227088084526963493145460131191",
                "159559080526718187963535349148124822048",
                "144495230156222089490095406898073850869",
                "123350786443883551723823230030167661075",
                "247455506924797588558333076746124567017",
                "175302788084550039830338054998950886367",
                "55422053958723501818349389797487372781",
                "272555205310713417901765261049942789803",
                "263055920360215695755800169429632614873",
                "312469433378577607759457413799255187557",
                "186878323439497027747495154633068598387",
                "264922378899314228832884496453106658316",
                "302493893152454087499822007430238832948",
                "79689385142187677181342538084418023070",
                "130671811272607467126409251013484366567",
                "16473844286983300421894540743564204507",
                "301191682326258182337959405137471038912",
                "127135352159909357411470857285003185206",
                "13006171578904253012259363541371112461",
                "111302097281296248909918121629950268853",
                "43431856438570319598709639589208793384",
                "302208766844356255748791376564557040058",
                "118150308478475284983496290469983784425",
                "73392793487408512636027312051694093053",
                "164535377486813541436515268995938561141",
                "86233170415626969324185291524815848334",
                "136516978118064759995644240213325804885",
                "15029700408857886459723225117594573687",
                "332980196106526768036582883836264324475",
                "245053187068586293906124767480438281345",
                "108692185506677515288111636799042645187",
                "183371104018037796015981548735853518189",
                "63998204784300644265272087145357846753",
                "235965930265134532339332445208695283375",
                "336415808504002770633073555148722665509",
                "320081928232867073665473442477702564129",
                "303781045712239839305974440843805881513",
                "159081904657910361700231200016794557318",
                "292198644342607852008222802871573235381",
                "158647420801332873876841184441073248791",
                "174821050046185919856131368977464299144",
                "220799213448512854629875649052676984059",
                "90926868106021052589913390440662968024",
                "139795798418803748002044268903502701596",
                "57639617367585108586332225294039670374",
                "227312518528390251070955723640255834779",
                "14090384221015113885828755013199689139",
                "170354748205645290795801856512182651814",
                "152504173712339588765029763823617282840",
                "208168929520948446455935843121049856346",
                "312313927226293033704863228304779284228",
                "290213024971369313198890753595570007128",
                "23544823105665822351375680960418997244",
                "113107927428671545185719203318641628993",
                "36234807718253364887815998453259256067",
                "319067784030365695758993246331256609885",
                "291496001131144833669891624206064974356",
                "117008578259250599186771304802504056221",
                "259444975596178475841886582073706199728",
                "22939351816305842788538073429888621855",
                "195322005070733725692409146593328214116",
                "112782388630841406806645669264509370584",
                "235441793816428016304593042493943350794",
                "6236015165635017833533790323095017965",
                "175487092658356325853275558440095125920",
                "315483231071944825143972167558405111793",
                "73676768639245131503158574588562994005",
                "196655287977755763642412698587375277413",
                "158207324558847369032423515426219880857",
                "80163345838281883958408283054703672815",
                "124914529668734945625877289610761180201",
                "187958762111753067728934257123269681633",
                "33566829224408465646505138806145833347",
                "80784901857780856970539306516783756065",
                "202953312336961069255681280644595229004",
                "291123166981757254751248187802109739004",
                "250515537489684980604344104098242109038",
                "304080325435819949108737097280552926083",
                "213381124708120945395657170018972063341",
                "65314029260206450036604929349506297787",
                "123575511811282863887241555147330309445",
                "241605339009192149908337287724858317914",
                "12394759188281262644066745259197974412",
                "293967458446633243636160441162467475851",
                "52251462930462522596904792911996726550",
                "212270390819614347015789222920855414607",
                "140684239009361447390025088533301982182",
                "264277933259204442950642920030848491556",
                "261711184653413213499484776052753984912",
                "182963547518593189169901130957964338303",
                "174836393507480492876533820509610238066",
                "263923238584035894039341832471825934790",
                "109120366865747359857310609199814983766",
                "217385352150545598821595448275484513899",
                "328802385001724946544289789883485588313",
                "1199629279957342645829412382893784665",
                "71409391252471853540939346236570835312",
                "319707941518769779613531200496325340321",
                "42541078066361588733922086985302269466",
                "19788746687475757289462847454868421102",
                "98151340240390285580949518675620791484",
                "183284559445598063277419815262648867049",
                "266433233788882700732187308390231524110",
                "120556670436593069223976003251899555419",
                "90213173024474410788682193329864144955",
                "89719634845668948714354071724392487645",
                "46425036088984208691087849271034656016",
                "274775256606609690489470066372696351530",
                "23559000628266017257957006568525202671",
                "271802671471758035137549905246640289340",
                "307107768022259785318525575563608254362",
                "235624801589828657170724002065660767185",
                "172711568652708198600087051013183254328",
                "182093515371870396862362435986552218244",
                "69869686587554317640369984886317120593",
                "328454792856653683004625916257199119730",
                "288673541977927164271972807433235822680",
                "338576814330485259557747671528604588734",
                "218154950103416654105784267502040464788",
                "166490838120169451034272079436598137443",
                "244179280906272683749315819340446620376",
                "220497759844082196705577745353719182173",
                "142634784128150185051296947138157400546",
                "69821103374231876796502594261413453115",
                "289476912771892686900899538773066739918",
                "252741537324462518785613582939879191665",
                "334673257390848026546785010810997465737",
                "59211445268664887045573874312136460404",
                "288669162394810265758420542802468348226",
                "281188139311750536396664046406646713897",
                "181855166649622447680148327404407656654",
                "169774634854697527253587606909312837934",
                "82499756416115061575303741383476888373",
                "88554558198451579289901694580761216259",
                "334722829279949320447676941953675446285",
                "29334935008672229150193098280136906433",
                "298746562754972316093439065569310916656",
                "287788601997555658771941959899477169213",
                "274865564953378407804275479595995692683",
                "228699305017423705905214949220767980224",
                "85038663263609513825136058450127926860",
                "231801565769528160238686029675117402267",
                "19367111364564906756964331096328510327",
                "107104643859411720690442802097352388219",
                "140513991158987769735857650254543603622",
                "131456301721310256274534892403175328490",
                "20788945823123538307060456763570777060",
                "119482143990817283960558769920979557458",
                "45348351906414909499143019342984093901",
                "292004141542105003799821150821238695540",
                "199172723976090204029685319637946318352",
                "12011716151199967257039997542399618726",
                "22232335984371930127792232660479208556",
                "301024298006708292824886229834312506914",
                "165861601649056292496034219746859868834",
                "241483051650475364400118755676493545969",
                "271801150961712619130090407736910244168",
                "131995041356755771897054785521106052534",
                "185462460871874371895472531547950862734",
                "116406723111028717532132800781996929990",
                "249374156559456753766178212731212207750",
                "139043284122076559164243906008858899051",
                "132612181401947745491922175405025368828",
                "33703215992351110595599409141419430609",
                "73450028467187970479194664058290054428",
                "188156039300165130029193826496172566535",
                "336319943914063170035055616304592577688",
                "263294095844859600646933607814891246779",
                "117508718209315850411578320043531358302",
                "120426597473118861816960993355091996722",
                "93231641208758451219351352556098354708",
                "305519674332744255704760984330458703988",
                "150718879556116120811450153735709621067",
                "15568289020506596410135173948757757757",
                "54250260459229282154857249334383688442",
                "260384775379296054960614773168188337107",
                "121563347269248495408263029876319428899",
                "170088448361575941465843137486296642231",
                "267713145071073583209760872540559147433",
                "80060014828589146240865664185379778942",
                "37563122120941438990598429230458031637",
                "82744512510753367775298067006199772577",
                "13045963708675788895711307101608386093",
                "153675888619434688141873673579636513432",
                "3693922809059342448969441579750122956",
                "96021640881159184126551705177411422069",
                "81737224656564907604553034246620800053",
                "286321737769758732140428740041119765795",
                "100120515011384796328943202438318499471",
                "268690834734141031363906809962628488243",
                "334660973303622943387745569256101932167",
                "200501383188300412230383117134140932787",
                "41547244154649150796367732568430330845",
                "326704306992930003233670078535526999277",
                "186275036480194099166249681085022869533",
                "11226814650799019069421636995811841112",
                "286994222494488596738816717699873497969",
                "165460861788442854349780873234916033039",
                "81522180210123747202286802721272863784",
                "162685855370369896503779397267886979285",
                "31381427615689382942227498291488967040",
                "216378914400402444235582226964169008536",
                "257524812802072626950334260634225132479",
                "88404063757014009201370196627516767083",
                "301136875315559587742087358260066915551",
                "118834421255076569896140079948591023935",
                "77671989205051713265041279666694443792",
                "24549275528304446539838198937692149388",
                "43650639240340578135414875959069695991",
                "293037404793196370806867334273870570158",
                "125239138721752645403933068270370593880",
                "34122242866771921451233872573218359172",
                "234476057155423496712822532328793361769",
                "134692124012725478792570747391093948006",
                "320421864031723986269045265397459063644",
                "57846277000381764884409807210207077065",
                "244201245998310944925883003424803361547",
                "226622689198344096720245238305641090098",
                "299388763045502188123431576319469404374",
                "226478496226788074810677714085834950166",
                "312279321077452801127332438752689161433",
                "93196694512635303921114390942153237823",
                "218474063279251015450129161723181448834",
                "335396255222563006871995162811954789328",
                "328904740619858836502376429031913024993",
                "314886181470218334130883935480283545379",
                "111004628800519709438746369796393164781",
                "108125198885237441773307751595252743186",
                "181524891364759134610783655516349165358",
                "95157033887019654562674678298069277225",
                "114211936037673062829514975910058689459",
                "148945152672659554439203336308230026566",
                "222266205972947836501859563357084345497",
                "20109130730484724771515905774956472004",
                "65062726222629742762790278308579150515",
                "333717378313239510181208592600899835494",
                "243462860893200584871991239475942741763",
                "38138114826457621457118975457508435767",
                "309847121614780177021835314601526643467",
                "26248259528481691112636669436616328363",
                "102220138845402529772212148232838054444",
                "51939565013950678367389259267722157205",
                "146959674613869642963615492448535229917",
                "120038154173515626078489926631087724258",
                "21948993069831636372165371857064664457",
                "22464126578841895986950249186706385371",
                "9623288700115795977492770004687382434",
                "281878265570297739133034942259018830021",
                "286045856856199876377234072844356671104",
                "175406016508892624572552156685872174861",
                "242870594679886483812726779325622508205",
                "162814733074013361897987335025755821775",
                "163432428279178050182281989347088909350",
                "305989720820097337948316503189037770158",
                "285383734761949407252839435669226972590",
                "274329362610382245676036169228430963266",
                "73968678805121848254294979352101723856",
                "304623694094238965278637267762032132541",
                "147838841116943658610378559703109136390",
                "212122803172416215946542562859966519724",
                "79497313344244911612138182567518023262",
                "285635140739924036720070483004701770659",
                "110215764346416375065720920734274160885",
                "192017506519792731135058461650464948810",
                "213283073366443652991899587273768157886",
                "141028329775079176480864128572095580026",
                "136261810895295807575899296842875564144",
                "187199971222289777714310978043956213872",
                "32062817429522905804129107222964574768",
                "161341215437705030378404673283870006298",
                "278839207238111259615259129928607265377",
                "245580855181352267457549162587764564776",
                "160696591382242199392523916936070916554",
                "274855181655361606064496630317077806694",
                "190209111459274650441575233943197616649",
                "197471766293073573242006256953746546323",
                "298286983554299266386361027752187586197",
                "165728583759190247815299441760080950766",
                "160483090124131633708877443987981259762",
                "263398976096829872592478157873779010956",
                "121299570741841528026483759899375472152",
                "319045676874508866955219940892860507021",
                "56874173283479023266840580459756026437",
                "75867696068682497675437224885827118681",
                "338008272638915967789462040674214607262",
                "80421086726290543388840564738415105882",
                "268519250058380623937615845348338924901",
                "241317904161383214012338244082203830288",
                "29689789113564162228139894640908195391",
                "78744111598717850545793461165256618553",
                "189916689305963405825204955817167727188",
                "314774289216930204793537013639758086872",
                "171346728539869822921006170243550649918",
                "65949863237388932636402361487586990811",
                "168136504840818409462424291807698342545",
                "337739524901449057420862674414283814194",
                "128162487141713713787349341459702815003",
                "78111315896358334785456598731652536775",
                "260613089989729146593546219573904046747",
                "243779836480891784600982661814467651451",
                "44600265556093636400817855432460188685",
                "61922380411508184756018741227262909033",
                "248967981495056608315756276230691895765",
                "274372516682531782042352824341375369221",
                "237329995044554604392201542079755321565",
                "289505052378879513828328812661021706708",
                "177384449671092433886484237302731972770",
                "49041589509499543252761413150716649929",
                "326695892875691213335781540340821910635",
                "201143633276736093260221288808855804811",
                "184915195054176886593234222286579631993",
                "325027183076520020905220285727922686659",
                "97801180797397825428463177318997514197",
                "14793406794508933528034994798717148154",
                "222137831784019394135069138490861327888",
                "28576689630184574589704381838680183524",
                "189178602367494434214426433557158788751",
                "337092499699154465892281798469086740549",
                "289917318550177045963007624590211538276",
                "285309182140191811006484477566272376623",
                "28535825718464937560852557652572688574",
                "261009469619673376193368610599728041347",
                "93832204658099041475338529019763578382",
                "179059317578139921041778688532772561531",
                "41524249892358471448635905211925641290",
                "181917699364996275795607678393133655034",
                "181557371565135466643697549017727314218",
                "150043656394585285839399350504815171651",
                "87511119962256755993705526818310748149",
                "215386396283405890173765406592460848990",
                "117417037686020848604419858472502671372",
                "63044185313359720027207116672467321799",
                "153066766139486981382073402603574045119",
                "290301863282350708823320003189695185952",
                "225512717412542298434191775413681860898",
                "221300546778168739642973962056581339625",
                "150709367014118377718185986723838977389",
                "315750939608815615004175327926133676468",
                "275407453072254346328973258308552092806",
                "235030310774557998593170806357688915073",
                "37785261056225732544229173523814149004",
                "293029805768498328380686464254909454579",
                "17356953800725164002317703589313375127",
                "12340768481949369093693853573073920750",
                "266866168707147748183064280260339363375",
                "128706538344103826062909454811858394150",
                "102217756919468298393097680734372285017",
                "88657824685541095565810907985448118738",
                "6629904685987224234220102270182632290",
                "154778283617191491853617438519268512906",
                "166727105527369864345007545764762207803",
                "1155773623632092696263663880381236321",
                "101968846449395184174207691986292610239",
                "172737203825791817062015862020041826854",
                "208207222601451180923974257846209885496",
                "111385664333079489622364074870614821701",
                "115400347574981095695417298232821945899",
                "320469262455562160412858336062016007764",
                "170757027410929165827987976042024623744",
                "74697133964212975128828390390025492681",
                "297489393139117704777898506976708245018",
                "219286565859615823494258810109018078694",
                "286742463183604122275216673522115639155",
                "90999376939660060974333968001220621837",
                "6913346156781257860044599859693520659",
                "184517546126750062490341370190083575344",
                "249937026609872527538712097184018286580",
                "263936043455306938736459362976919875163",
                "43683350274490423255679009350942456710",
                "243998468810047871012207574774812015110",
                "217144385696374242180936146368302526343",
                "175528543943903746638406361688724387106",
                "253645925179372643685256525277417376151",
                "175554861268651407594460549067662800068",
                "206984227069340612899557018920618097928",
                "22801533883813231932662005513120815351",
                "129344010008894176765683661889238957169",
                "38960798899702793961481875070553821061",
                "217583515932308926914801271927781630998",
                "155114508705587788853139233957491030351",
                "157545024610017165647363375024617649516",
                "194538627343488687110385929515456945323",
                "105609222117158206020136141246782502553",
                "53044450538746801374383130106470745801",
                "204404835462667975411506222489860848191",
                "205203399445064697438497852921122860579",
                "300207258906715841082332991666625285905",
                "117934319681225461894912620012695431856",
                "154411289232361173843064838276800712818",
                "239902352068832558895077816287345202530",
                "137587836131624290226495226921307978702",
                "262108816815842236213535762891181564695",
                "321783647218038485415947929137181247135",
                "265512528823129009127060567919990455844",
                "108432887297501501146815400571560469202",
                "268012486222693784953100268166210973555",
                "15350366954509944207961343603484927239",
                "62791149756969259514268403273749333144",
                "284343900142574826146642367236101589072",
                "338162489632121433972213187693365390562",
                "311941488594891144572483887178375310680",
                "317271994580271682805977471679167075658",
                "324104774521912448906657885695776753215",
                "266844982150567045830548087237775882939",
                "29367455828238226240823262063310464385",
                "274718025376810706163872837467306390437",
                "280058706393271183350737461780777268388",
                "38510571162677470199221007311254385566",
                "69403442602943182812353459213166325281",
                "256754043905579065919115755444039586115",
                "308360974163091239063934371705429440470",
                "40667545661377385389414782321191943468",
                "275758777561881355022602101682313925318",
                "135548975719214887703187916009286582161",
                "97477955275831035955100309286150286151",
                "76963848011672245561566019068721541471",
                "327565866188567666091309117152376436945",
                "158042359099605934564579330221443060033",
                "157394409625827407933966100105932459263",
                "218983597552834384352633356028715475359",
                "212627264272350859799436546786098522765",
                "210811577611415647746665669905639100417",
                "82413587938649778083910106400243306093",
                "197242306786750140367890565248077270476",
                "251127974172310345815706857091926397471",
                "77889197441699175216283397231290357540",
                "78474106597753930120609061255459278004",
                "213697860878488955213139003784978827196",
                "119529188150845164412197925497035228721",
                "326251139524196829711318814036496277101",
                "83615799622646142388124906624748529390",
                "71712235251188813704049149173476172064",
                "68954849804914214006723555375299020620",
                "55247740893034433241009539633024349392",
                "151231637403756309614293565492421064733",
                "122818265213812600752351578708187038989",
                "73466940396534335251467021068823825964",
                "172968140432890329869487033219617004433",
                "92536774322593381096888616008362377341",
                "215117959067776909399795041613497555945",
                "250360688435424457327945752959545961932",
                "5404841381040798169348346534859678171",
                "267559924265242228056009239892896080141",
                "77500221043529560110393036675590369260",
                "67899411364557150756350997972968673272",
                "114918158375510772926795367950498107250",
                "230121302893069487478309509802925761447",
                "103464952581317981272623263139686263317",
                "118943202799632421787471522396664267836",
                "27145722208408197402263108813120534134",
                "325415115776794163950669620833726619685",
                "129520812622029273414036337065622306455",
                "201976082394087945779907980818452705412",
                "74835284799045025770553358217446953457",
                "240728194427737562696410917737207655082",
                "152324394448607691207053975982884419703",
                "294350599310598388557181769069249224621",
                "108869923541581882119582645407887291259",
                "331428692231836632807146358697957994048",
                "145804009465116253327541515318349312811",
                "78176190653719245262462222481361922132",
                "316273144733378249677586597058406714077",
                "87902512263463755475728033363849904109",
                "176753103955112176000429775651472609325",
                "170312994844369009605902880946882367577",
                "247783232994278610142876317005745038527",
                "22628032920768961589393280472554713136",
                "29904545167112025637646543173600997474",
                "253113153908425422786308458589351545382",
                "243956258531237653788178075856018728577",
                "313756182800538784627223546182387770044",
                "153132629625290672026333935470020320819",
                "228636325266846886367755277110871843295",
                "88309930056201401388274425643615254573",
                "215289774949521405111650259808675776274",
                "152207496591881282919381064950425366965",
                "99978737160152669449842827690646120251",
                "215821862606246572223571596523658534383",
                "65434605342050951915647986092988797171",
                "314059952174601758740429728897870057840",
                "124818294025439414771181797880776051720",
                "268171099019962341790711419739935345458",
                "24326512489208819196850235596516524388",
                "293688608219758643588972617618789033724",
                "208538963986748832245407178738572104091",
                "292682362432081387595323329736616333897",
                "73777569251487093014358101001843553352",
                "336035953296918031897391897899202619829",
                "101505817042330244311649617672569392768",
                "110731097759000769369123574411237108229",
                "334508962225205173780711294335896928852",
                "143683659316985050918296940685714387590",
                "179367692598843171858485488060274271680",
                "229895907987263419312831899196156287945",
                "164102090749243746531002437429694169947",
                "337569743593908951610709793520187140605",
                "214407360053824120714540170894195829957",
                "233760391366349474350408962858675039453",
                "315455937150470289901541483431010918323",
                "102906082605138567594328060023596172425",
                "63032603406070687852042543886890425835",
                "309613089355681063935044440943890466606",
                "113872229351599500322184663830431820785",
                "50938389398598863005203952034343147205",
                "299055356648105806600981016188872646478",
                "44514233321486266231073463096615851984",
                "131351115484528547105766609882952989866",
                "177362626284076495763855927754737260906",
                "221531768653317207623561064896228199813",
                "250465537072323455137402102406116143103",
                "281965775492755009347228414890940630036",
                "45210419998609458718715703893795794988",
                "229383272846922325142183142770899302167",
                "145504110283856236591200695034899076626",
                "165721282197142107006222001381772063773",
                "321337762721472196000924283304867496832",
                "307861411726032278325564455257281153094",
                "15059878226293879247829014598434993858",
                "247592590026298449777678560601495944052",
                "281817015415633424033816873251628967868",
                "208906674591159503197735410243522469042",
                "202218403068097294745710186044578669558",
                "50610363211693100448886505132880318665",
                "285081440465747144798225304022454637656",
                "71806305704188853752656067282230638102",
                "339839032465503769177479669866475759078",
                "115649759681599211978835171289442835342",
                "130552896154110533065295443785886040101",
                "43688414530106732634678042839921475044",
                "93499653564673013066810524612486359413",
                "2017507422359243495201110810562694765",
                "38618908487962840133401266207564439139",
                "49477931562975992464211091522673828638",
                "66482003624117670097700755395240910544",
                "300706732667375269582540727494528988522",
                "281431389213577327634356960985567045504",
                "172783296543502947824694918997108653138",
                "124110926261240021643193684190110657976",
                "260311967070805548719120676177470588143",
                "97871813799669315463983583142919410014",
                "65107204122574661745865000672636081788",
                "23939651589671657265706736428341585537",
                "316658095550097244798807817925761125556",
                "200376379600123739280090709390572190401",
                "150996229617002872207095627950811108566",
                "241208440702550766985814722441571197969",
                "78981891055286337037773986866428214023",
                "28738514560650797589473221603968401184",
                "64747780587646895830211140887904081184",
                "138508622386631321546988796295126142867",
                "260220578661321343209479105562710927933",
                "19841980975161543772352149713992240042",
                "135962274922062177196189914704532621220",
                "141119141536182149752644312930585884908",
                "71463355405554284112490769373824648382",
                "52642283390612019563849926184413970303",
                "165694714894677258885641639222666860815",
                "60956258405832730007577316618353137885",
                "206179083323843852492047596295189731810",
                "6339568497352524988839837401028559477",
                "122325473562155073169567302711006588965",
                "95692191330598792716309460570020836884",
                "190224536470716799402269141285860541149",
                "186264696251473159287384195577009113591",
                "52992627401804930249234347681863704973",
                "314351109741988937650627168599980413910",
                "209240140449999592614640438074691933241",
                "55335378635811805792080618262170690067",
                "62546579255746558354402524426461706849",
                "80983277385781437067917164751733707924",
                "59267175051353203880078120225449273663",
                "298352167076516558287180317243127883518",
                "191982800614337246884079841660553242835",
                "21394974641366960155434153532559563431",
                "265301468864191960666549134513435606075",
                "8510771189436175674532736429996415123",
                "320747485559531233506445797676041436568",
                "238449997263647408876361695643178157933",
                "197910311298580762470683827024459692405",
                "173585741869241381869532258925284556171",
                "166049486765664633672642911644200313207",
                "248753128225855454191316987087608808096",
                "38096527084183774006034730828748999475",
                "319582369964625977142379094918778700011",
                "245856393522273999319889524070783509238",
                "114372585584005749692256310535804432562",
                "328065889315751493941192057158529070529",
                "238366680350604369878431340988254606838",
                "247612778994935951880224079230363063974",
                "102004577268863149234769937331172095767",
                "171135748917784284735178640110314410557",
                "42599134532742359709785462755580765144",
                "198593253253950922641868274804364941712",
                "253778405328883607367349243557175776436",
                "233094178625752070802365576922908829274",
                "248023372991101024943327595469743925577",
                "179664869481316434943417124952368827122",
                "81062515323556113804979581918533708117",
                "154975469360485683785150485706275374750",
                "73727004943161694425911389603071964470",
                "112372524566303363020567940594510999789",
                "115630862255893379847912958115211838096",
                "33454058061708605129689685985479320071",
                "275937486012355616177075251770038656094",
                "198719477116016281670246574404358367974",
                "212485622165921009416332624970856821519",
                "3760365906075251471890933587381584831",
                "104929624282772676484804597286576255037",
                "155877837319958534368194088205394181464",
                "72407292011836261741776300574576760701",
                "69953835722247239331400811463534567676",
                "47470151315915579743093841284699759745",
                "5822854557001638367092734722975105043",
                "226985070338155066162184465865380677559",
                "224974284997076021936633361151188065703",
                "134379879556204912650014215013554035288",
                "77951199159668101487114901114425510650",
                "128202297648840635005379283157666803610",
                "35741763197937573947432890937906345099",
                "21002180222335431851549626194502378329",
                "182059450851875085635564520541363376819",
                "131086318624815041971527219200943979602",
                "119475649269437140737556512695924447514",
                "153116595356450631148235019456852787795",
                "330577601669204272829352579817053002454",
                "173667855888428125508861805518886243037",
                "216363877682614287977258158771224182113",
                "250730247950753659906807182258766872596",
                "8254397106318233917648275582444805551",
                "224692477942393843227244998014477561017",
                "174178608612522153782606205682779970999",
                "59754286452274204760192598879263041859",
                "120022808898064491253204626403544812525",
                "264537307340571624448861025707252815426",
                "155029918627896982253777180376349967955",
                "204927974648680224567356784373388446996",
                "43034228517549944945001169808623041594",
                "209975483875975626475924821001636054352",
                "221418864418677635990636365859836143357",
                "166699026012129886616068030969321774876",
                "198448964795569020508430420501513085836",
                "102324873909129508743444590215016014810",
                "71353673849077765209718120382129232809",
                "298095816711556802792745227042579601992",
                "40886605590942361390002862940558621717",
                "96683815570136783873894144412150422475",
                "243373510091445200662882284023409839832",
                "107612371567554536914171098874773991993",
                "186865011904458952950446226928270361471",
                "78931494520821263494893466424411899305",
                "210828813879597520896490289392411873489",
                "262754336978488276672023765240001252377",
                "15963338504096966040017213313476130594",
                "264656953511031591287483100698775782255",
                "338877349443171996234850514978661823924",
                "216945714954634246587370324141394889788",
                "226929190011559839518084715995069822280",
                "164255587297142947547158761453965518143",
                "34090472821883407569903475959684121419",
                "13899954493174674462257567500367138696",
                "244154814776796570671970437942275446295",
                "239490912637464440381706126300124679676",
                "186064118464573056994602350524059028775",
                "196349349201662675484464254096779846315",
                "135943221434388602661383308731841136337",
                "150750099115356160722561052965413376491",
                "168521808803223277323541380198231138008",
                "315073857548174426810481990831757630520",
                "231970753680530665910603355584731591177",
                "339843792364189284727847412660382821372",
                "156246275664623933242564595577872336398",
                "186935180664970461267293375778748767321",
                "80814236339182015040273096269188980077",
                "11664955911994231220947490103450307208",
                "222446135492609387799789045072294379718",
                "107001262439208026855387568364313573121",
                "218215949720188897956526992353709642254",
                "324191891556619834616221097784845440014",
                "311620137472642145226074685512739523014",
                "102649896702693940570057073497644913786",
                "37631420311646434551245942046164098072",
                "173440592537499988388997872791547007754",
                "268668834720957450586492556689977091192",
                "286771264320271861876732586503550513114",
                "289197024885301149118221578133554634491",
                "29864392118287959210669421700321723043",
                "173050419389054014167895354223556363616",
                "318025381914750595362195747337803051097",
                "267879746153105280839515149147311068531",
                "325864122167912201087636710734773030821",
                "337419023333687742116596067894020431416",
                "88128548377194711308787662489760661621",
                "93572006490774902351228316558997807234",
                "248089808022213223747229513975385964137",
                "24602671096133228834081832781895928098",
                "171308650117402560543940475391215289784",
                "229390787927781462691029422648309816111",
                "146374380185206836743300919121661146106",
                "298860503106719584478125476001466676966",
                "7599117676936251525800324118909800683",
                "56426450211259899694956301010760444308",
                "20593655183984489932886574179134602420",
                "50709784903849131097864014388464032097",
                "149412999294902756065299100117400631885",
                "111704911750237720825691577147282080755",
                "319309696614620582463852281015258962687",
                "103966156756629279309921521040468723356",
                "162374370100498000787368761590905975472",
                "122018812279939650508982473669963058728",
                "84397949207940982251313164641523779620",
                "186168462372163910971214776961563944732",
                "9513396124925637464747901884433375880",
                "149150949866685309453961378015228660439",
                "239797126019945365091086480782669703426",
                "248000773468276413261802681537373415668",
                "307082359153072684444498134690411468840",
                "96370021797234629324881350339778272128",
                "280644921515228128653043003608760529276",
                "149583604377903921560602936711614508184",
                "32342483983465745224683891298133234937",
                "247732472910616570762207219681753685165",
                "46186391158257771510462173589398415415",
                "23547779096442565990908184591177474646",
                "286620537931611349063210070745109736603",
                "217319305159748457639024299746881507231",
                "142011968011691416992306351202627918841",
                "279979441818945396929930631188171910688",
                "282806667175090492264941118786346346119",
                "214098517263285350622315112460884360587",
                "3638320144944850397232777472948759607",
                "245922628900573292357543118453765592145",
                "52019411979464701823414545044574647851",
                "162496285210592064156731735309200156536",
                "188904515710632078930891638901039163250",
                "47602403630766699090064964264581506356",
                "303821895984793300940536699749326219385",
                "112527248658967096587590191937755716442",
                "78149893565323644580855041550614267274",
                "331958744314089392354417317766782239343",
                "265782861483604516724569183692269122712",
                "192104610190720874214227594521118042100",
                "46114953071228546349720452930464397438",
                "267157338788856167605161676147224432252",
                "262895617481905064972619494516285655799",
                "74488979479489345415276895680152115888",
                "127656160432200540289183030398152588663",
                "305235800472710806445990158634553501494",
                "152476614400477353674744867595006726179",
                "81344427332168257468823381539421030688",
                "202045279314654331067094167984638693336",
                "83353734335888692044982222195323162195",
                "121163553513287682253795064080874134534",
                "79275189124598807417509142568289442081",
                "279027716695160048082823622365078239181",
                "155289295348519249721572133501952444096",
                "186091270733916016423236197529153337630",
                "126380571894941912418773668459621026976",
                "300175427062525210690220282059525116489",
                "325908217401432436204415575333172125756",
                "5834685030911733392014639331745347623",
                "256677116166971608721384327115313301385",
                "195249168163399390394117437965961281509",
                "222780125372689049105694477849707341987",
                "215065698072049775909665300181567235186",
                "222064576550986262418298620294945695622",
                "196307188070259847593167348009802916907",
                "21883759813537116914041738761943729060",
                "268109391115170417158868978629917972645",
                "219775981665073423566119150622317489801",
                "150010123538002633419677863567848712062",
                "102495723891134885656626837233781250312",
                "163374695298188470297944801573940817889",
                "154558072586124050654478157170282883837",
                "71446514713061847686586588071350462847",
                "241351762285983543738196339773608562314",
                "144502250377313775192312639794951404885",
                "21276740209300742712475436420696057070",
                "44573351366672361109797762038403616952",
                "207483786211685286761828445772190110886",
                "269267726544464673325713980864462150101",
                "297364449434387608249081352005916087726",
                "311079684332637953212927482121635710838",
                "268923077320833993182439418162445421780",
                "52276551109042342028992779632265870557",
                "89597842888686819274840332122852915869",
                "309572441781590476358736666879399341755",
                "320173716531917831000275010108376625355",
                "71788659105343955232467891097040461663",
                "18660610835306998342866899415110810761",
                "279944401401232781770779524603422981740",
                "220698546095540003762282790924948453986",
                "219163493419327288241090640228226240661",
                "319542045524977453531848918787772659918",
                "259144285494673245947160499795261484821",
                "14307990805283549049664742311935906663",
                "269563996959806696452619300951103268717",
                "16701576623893073979215631652333656367",
                "128018681148707644773147998118643610225",
                "285593573272266683946911898318614566955",
                "7031542863990764898249716180943165620",
                "183936113395958848513362067988313711332",
                "123844036770808991741555300881455664263",
                "137680820204545434364835576261857470009",
                "205378997566049586042796307844470214784",
                "309580390640925398403078483678097901227",
                "74499146053331870673149986153098146394",
                "288039594688744076335943909244133270314",
                "20829021574766532414861700117581603449",
                "314137160217518757105988703858496897544",
                "304000556009084711498908936110244295870",
                "239611437641680500975530687916481671999",
                "255944170230934071403866801741341965458",
                "128917671657882434201802642322471558860",
                "274328612854158962769997634056566347656",
                "85584632727063983165656910955296372507",
                "234403390703851221965823252922072383356",
                "220250040659611539185789683385560528731",
                "214772663670806471609015393286379499951",
                "103960530202009092533804972264639331584",
                "13790594877783289971822495505664192555",
                "55073763730839995322492112693269221542",
                "210685746626149009278789450527245529041",
                "102197276310448507643692889096646786797",
                "11881772091499205292037952653704313268",
                "24532423238292946366384902529771166841",
                "198691392658996464520466640362119741217",
                "201811861049529465680158338847870716667",
                "188957047087049320345336973241082234112",
                "256022086495543278904529197452097165255",
                "51348293605140895413145328789731489435",
                "181974350591841668602745422509049391851",
                "121181035578498804466506040294104143855",
                "28178743448679817758165896420084047432",
                "284569138294356849463685509012945103616",
                "4604776902558750286443813395724643536",
                "59715160134538611041835337177039202772",
                "59963124638255910923499420964431327435",
                "312274038981349526818405147221300244443",
                "130847936189583513498437830426960437639",
                "166881564492682944495920742609946535470",
                "73480233343825832000414501220254462473",
                "266594276620669305731249540928633741344",
                "191843135568607415682073471047633895169",
                "286102043630211109673050688766581349426",
                "214072275070597165940701609550280154192",
                "156728566194273216195349282783254564325",
                "28735744131479382675536401795917608499",
                "43228112723412445826786548209958625110",
                "14813074388769977588229558019065939981",
                "289505850579025626495102098418755180531",
                "189866495942661110621331652523230748396",
                "18733932241312985966573518748247048336",
                "18826201727490689680795745061356156155",
                "182295066842119684177823953128684413957",
                "38173435879604259385090265566444985090",
                "161931906712506491530180177735746519453",
                "201847640049470255267036300490603861427",
                "210443134868872180810102595495574083865",
                "163285559777466908752815651937975729275",
                "287643646052094935956079891687785439612",
                "198893291508776842443245262997457211921",
                "45717021282509740085088148414792242507",
                "250918092297080207162663034375040487753",
                "41182528979805155718910407185796193273",
                "152174441641615752167575912357215195637",
                "17843875944968584743535828570099702767",
                "249920723393505938347626487782306991398",
                "233564689329693954494172986695448297205",
                "83348359330634565032734135043080886132",
                "208005531388292655956732731064217719685",
                "203054214268422854524649076420172266234",
                "190973672134763422538419631318379637374",
                "123590249892888935895286635337756791900",
                "332092284422933218507945879350896543848",
                "276533007676156294760447553511975734883",
                "211461971800921369132715178722177576259",
                "214586542240337406408350917636087432282",
                "316120006362435258319706377248213867883",
                "54387542970159251674523479674888969766",
                "297218067515488571502180446152137866833",
                "34572282742848687271106403621983806462",
                "331100223306402213961485481070778754646",
                "30537086694299049090736633948939212740",
                "311893007116778095514477612899113024938",
                "137884559124230164626334795139039552337",
                "106464762064996394630560819572769061520",
                "225567838522449389064345028473568346869",
                "331440933789771520778681685232672397467",
                "73337722870196181046943227975847868077",
                "84373148739962746250842367331404597512",
                "25539480342015556791711638711320955589",
                "114253800591319618102110084997691904360",
                "60137878253878525843365805742408597523",
                "8435666745813873471939509509282375723",
                "213931270604750449330117371287741540613",
                "39305115777288586473371303113366185817",
                "264984111494700952494951601461782734327",
                "52345183969830676952560680876552595440",
                "201132926864861116717855198913417851286",
                "255278674507920843673526046170509301914",
                "276796220292550801827114651623086115909",
                "161288581859531772072562281888235718399",
                "48442685071834266524416102774112360071",
                "93268453051880162791620340653256571599",
                "225727783830828205262810411551816369207",
                "229234440112862104413483231849992993375",
                "340125975660056898118454675711782670015",
                "46863701032155838863387795950285011694",
                "11029429544158804982270695809432446948",
                "179095736460703251976541123985153750314",
                "321608414450054540163172443004579657442",
                "316920365354546584825183909023092143449",
                "270651781616218045521723960581637742826",
                "204580251841511373866167852858574482606",
                "88511705082674222833355499785568565032",
                "66456032415529618719327623297253149955",
                "169245476872706379404963110773448207713",
                "1731147839256585063917138210195192411",
                "170515167454271091332088252670505348003",
                "57238279884852444389262537076634273448",
                "87543769696821605812766435247751567383",
                "195243739854099637342125014335794063266",
                "327568849120885426348298415705519423255",
                "316855958436627543405536623226960519456",
                "182958493893495258857748712980189267822",
                "142400190850352582414964982279194511106",
                "56539932049920895614589046874957764858",
                "230831526498186512174419775751265301667",
                "261256582260425103812625822383737696701",
                "127642455013210810072640176458433932487",
                "224991538336072524533280785985555461629",
                "178307236222165347816658612909489848515",
                "110200254734011349861873386349279613689",
                "104947364675965343439704574257515432630",
                "278489655033429188257720045381341446907",
                "149413965079305249566371603793834182605",
                "51656166664205868758382320689506816561",
                "49118800451411142180747167266079138082",
                "151329678714857848922665432738087319227",
                "116190695968354768954157768608037637634",
                "323233952768364720216739869018034761933",
                "243098597657403117184571607056388393465",
                "87662339576145809490435989242068954372",
                "240478000584730873589943334696634287076",
                "131849626041501070372739530535878563312",
                "67764489685370986293693006740567677297",
                "253689654448601952144032972570166781150",
                "296325698764513788160976471378742938270",
                "77037373111792643330713568042020848935",
                "52137376877119779389595117493445717498",
                "186210475601091856962754059798821138891",
                "229116376112401492252114442606970771983",
                "4889598270560839438988139381112567726",
                "257178453492608295983229577159255776947",
                "156735271833307173197563669564990839466",
                "13700674834132670350657476803586733849",
                "272600040711893950419641645799241913183",
                "152071464461635475610761862534473646336",
                "31454859781005977519514817753877156516",
                "292440158152402373475892204094527921519",
                "146958844197341462207154015234821891575",
                "134934939874986299288435680701139232868",
                "241773024311931075300744135036492540864",
                "241249865046270271364790723686587657639",
                "269401497002082447804044339039210218912",
                "25599602726278888425740272298978349709",
                "26648260382452047112183028922173331737",
                "141425173523018340194508606039264080518",
                "290262190518793226741839208892860294402",
                "183255694258841315918041106845717846223",
                "52057143231158439357523176831516087854",
                "321742631851119358358942742794805686106",
                "242647725533829189860818766031531029682",
                "182152519814761427207310116811728338406",
                "198278427048067790661232653956963243933",
                "323160880474292256417281705781037605990",
                "177789020187372208047682022303596688191",
                "314035998823856397547909084873373515982",
                "94091115302203638980636185474652710322",
                "193346952308837562930112283720590167311",
                "224846483901856272964718786328098572332",
                "122389231888713813394584412191067130812",
                "259337742025264839821365590179282038400",
                "91785280819654375840497712394945330939",
                "137449149277674645482006618539762751314",
                "304894118440718644321040304876108027521",
                "64296158709061279763803706627110751503",
                "13993506389332267099015165512293349380",
                "38226073928663902392885158070021565775",
                "127841715389622446986817459050236740149",
                "290272947911050105305251434629351672145",
                "244785145290243850396427295561141300475",
                "253072864987157657655658538499548916070",
                "172242433748057183388749856644752246460",
                "95893562715649614591375901766741559747",
                "15313937654945813767188982360819366044",
                "220544679662971416626990732138647051465",
                "273850125112839836511251838929185546940",
                "164472559074451061849160960951447373439",
                "156083465285662523066049901481412722339",
                "118550852607895633758106687898590799159",
                "258261026831049938976113460271346433460",
                "292647269447607385604467184443311114018",
                "112996202447437345397815978784067171322",
                "94440988511969794732112672957041700858",
                "12325506070475863309007631761249433704",
                "239022763529161893508475172992845483162",
                "113436826444651327036664490558382853555",
                "164119313557787552715575679991275212169",
                "60723561066861701465869872139431295017",
                "116970951126113398044995525031912492909",
                "82913868063052291942425951746345620154",
                "103954362642538626468766306636560435676",
                "40611446493706786799346536863961306780",
                "7887021928608118109603883445581372818",
                "113991319586683809006336333741262666117",
                "144424444444677199793427725292113205263",
                "62616470198196037824767299014810080913",
                "39989992135387694299268402471938729589",
                "208531159592448526077128253222024430949",
                "289367176290610093072531676137161686433",
                "18446624886352937622096867922648761114",
                "98311136335918380517546614715912601079",
                "272075350951818358976260113424200676945",
                "315032951451751039581835816161350434043",
                "1070838016548721008861683424094022137",
                "293833193094111126903710904624053476053",
                "234128796025771707430523677610704202040",
                "155190938294352704531664829855950245833",
                "53251921793956221773615175212848623953",
                "267831938744049985111099734061472123351",
                "175152989566242433941538636853037937700",
                "338814099261247581849147245733697952631",
                "82802389490946870283321412882486126365",
                "115993417799802524310592356530495308832",
                "42332708420249661173880614873794687388",
                "111752562617634882745727502364857819465",
                "157284073214681993688651507493307416233",
                "125177621078805456944608475683168977314",
                "224627204231597298486608417637026991063",
                "317888606644799774767281702901980674807",
                "126974089910349997760987803343664688915",
                "228655786469423643194060850177795788264",
                "69860218622660855083435000778171298779",
                "185292996049787811117008733021344150552",
                "62769550335592643416678834726443805990",
                "266316097282549732430934126418628489306",
                "218707868670103861953965489750339272745",
                "211454050254015902991655733410044126699",
                "93933336885567900060815224182979765250",
                "328192918442600226692184481969991782988",
                "33612804620515091078833267104772334173",
                "306604079275079656257149184005133312588",
                "196928687250561922373855175647698139323",
                "321985691425276729539410735927647989216",
                "324254631495783757955421400430434678279",
                "238519154006719136347732545409024622098",
                "261415099880623335419116998338668098314",
                "170199964144194935105434498630684558060",
                "178458130573376854692248727156415174250",
                "140464332307638634797698984254034936299",
                "260901754156459096893534085756391320106",
                "201070821267586811789683834723057121996",
                "104472254628231136793611592345361485132",
                "257188540102689227897668438206549308236",
                "24896554902349601606368160816617585827",
                "191404650641835707493717859964812583242",
                "75332505098195846885826519311905169319",
                "39480673467688180343127907145787961018",
                "136111909608298503848690975382946331058",
                "115559728979305485741012739478646294877",
                "59636666330853203611150155439833678639",
                "52025104209571064177063441730275332282",
                "118910143222323564895363332947311645836",
                "95298627971257369714222762257149309567",
                "96659982691643738199157954818714741753",
                "189415747508861404502757735778098994289",
                "31959562856936080037928787257323987702",
                "21956252128345379236240998759858046981",
                "56630354365059254623438405027399909645",
                "160724818206206675265426006701748746362",
                "55397461418729509201272173499167787805",
                "66768357805610764584691613398952115291",
                "257095643426312727601443884386438292753",
                "93601078653018669970808621061934982890",
                "2743439240742483337006600942491393315",
                "51491392693723690020306339047304987247",
                "191937743389422330438452281237941886554",
                "105778936980059031014442229458027071159",
                "146912123816302038244358025936944834766",
                "316795443302430011983504817264503348957",
                "186129472526915058883100210587823673837",
                "267981841321793674739030660193853811737",
                "111252165010919207718068970728191687293",
                "186153299374520189130523368614292999517",
                "183585389916830228090377327169866104442",
                "254003197541509806251781611960476785162",
                "106819172238220815262032793374156667240",
                "286140943359686898619342900209463594655",
                "25323565758626523003224195527536305474",
                "328037738605198357833873690639175512454",
                "41203389275996175201397227270156002378",
                "218011500975155412027011705061864723719",
                "223447961197808366651884196569638608842",
                "248738278062709964573501473136502608726",
                "110057515323547177590348627408355247519",
                "311247818301187981157517993038408696175",
                "292746821671235504356237016416070827997",
                "55487220347186626605989188502720347823",
                "239395466325209639785476725210706647907",
                "198442999662447506991022490206986446090",
                "199241788860483747079881277232595074325",
                "230125578861200785718062777391747745926",
                "119880631320835511360952789434930571672",
                "319784226237517543116258813443391931358",
                "327280460627711993734608902909579761588",
                "220027528510507800891415377776694414460",
                "58558686318183359978398439279148284827",
                "34242792674868516028150092483371424631",
                "175964036942498145333622082706029933626",
                "44183494759545925609784002644489075014",
                "135672447183298750408337050627966205819",
                "242745925081529352023095978064603469077",
                "32966708334825668528918142601588686617",
                "134048608710019247865044202950332856938",
                "246532507027817690127296447555361116444",
                "158973511421484610392020049328524898961",
                "226966653551142238920115307302680139045",
                "302876312422731204557795916262307577983",
                "243044509827308094130070041294276915263",
                "322692064997206734012167551671615436177",
                "332635498914692038955897835717400989928",
                "135139799997440170282234675956484270944",
                "256966216013226316109935710243892751045",
                "203755470024456587664721643135406843454",
                "42745137144196790341282551411015917643",
                "97750508001645965146645108843342139591",
                "113669055393077135313609658604085381590",
                "100548069147119363365469008125163623291",
                "216920357430683061911643881016603646387",
                "46188680901364412702961604884801062317",
                "68242991207461985035533482703847399705",
                "33599766297570561332786316967645748820",
                "35336453435214516485225942615545207735",
                "282245846784837175392477598676314306763",
                "261058063713372668543831019177032505651",
                "193120019632869459786112790597630057280",
                "146414411188323220428079191161733358560",
                "118275010862279670702060380962155815091",
                "305542018892803034895588818310576913451",
                "106334730750456107428139827341548498079",
                "156217203099012001226321822672823541079",
                "65523693038326665287246423636678026307",
                "314430983250789956309221139347959958981",
                "229988078382284771461225285970581466083",
                "205436338331592907564248703620652624976",
                "217096496869283722317724090293948690717",
                "78773301408587511427494688962051818328",
                "237784042887836551020261748861572332967",
                "226141665677327700576196457399387248614",
                "302352082844532011623079470349839765078",
                "83649662541165268767861922887068643751",
                "272796878123333404409952531009967500338",
                "72818694092452262478283405077364936756",
                "83837721455134275872540957592389204215",
                "163529846485852384693466523464607630545",
                "333886446773968991684258485199330443490",
                "327637204776284308859711062661200256325",
                "224921128130684722238916338606909773788",
                "61333160845867591853668711537632349194",
                "298644248412737140432080377736958102763",
                "66999159637749902982576373026418159457",
                "60195238780273780629312098481041213738",
                "136718795570999769872018512366173585686",
                "17537499212651311159277757616881723403",
                "169451501751563109423537310950350520517",
                "134954277015052556789648704371306146856",
                "116411133317967619433629047851631009167",
                "265201396067058955993009595920604829649",
                "211370138964697233092544131645201396899",
                "55156137029979880044355697879699200022",
                "60125010245439971432643145230312480919",
                "243998967346419333155443237247340956221",
                "74274429206766513398295385883504306038",
                "318833272894177163549350483948608989492",
                "321857768503454396435418169973158473942",
                "263520694002089247643435221567040417088",
                "82967939155504353235498628189176330905",
                "307893503417550420899934343524457022119",
                "331969570421082296306751338830136414489",
                "164501008564716684236115468874922289155",
                "8508254741904783200321270093610143824",
                "259129645712580329982818665420630658190",
                "138916935132919540489323115910753781246",
                "265031767081940679418169715585547332516",
                "278676488729541885863977020604115551586",
                "125932366355924862775087127595858880354",
                "36101317482598869346881964045231183396",
                "31886492142540812357810972339488586583",
                "60250508349175176698854694316098253522",
                "90549343910808440583852640855556362779",
                "269636008976371583676704661097891222524",
                "317397720087713442630660677696771991671",
                "92325074786716865145816016411156542505",
                "102141156019377062064422465113864518967",
                "52128239160427109768445291564149307063",
                "37804116865871267870535507330841974237",
                "171166212938899168937750377857174390827",
                "68182256383028667706348395863064346802",
                "97924724858677983970124649802668798342",
                "104092425098497537431396627443251226458",
                "299602176285564920107463618456178791777",
                "289624993032676804188828348529784589680",
                "302424525843237366710915535614574164752",
                "232896633825676670375341765616194447430",
                "281544568490951363794605669631883245065",
                "261328231991661922035374331361915271947",
                "131322438639275491282369355819263473897",
                "202685740519521464275442601742325274219",
                "333379536696141052374383294284004364845",
                "287442415846645893492462268602856640986",
                "54554404835307406850260656182374681797",
                "100051469840702586701136833408354232936",
                "139829836684505743795040946756289565826",
                "322641930115666259059306400764946246120",
                "331261701762139122224721458525722407429",
                "212289064018253114943168463755811081435",
                "103049740146222145255390535165056682905",
                "218997708549465738439665305442436929068",
                "188154252820110016828122881965433701707",
                "187057775840152993460340786279942466135",
                "203599898894430651478264033645288894779",
                "212312082854828993448511893104700053925",
                "11307759234510156446691026950908910410",
                "73467133468321009634901272208409258538",
                "85173447796835084827679117726501731101",
                "201453178502047158900164162380014858357",
                "210411842443318491096463677492804570279",
                "300127548122396867777549351886972071118",
                "60238667262206066178678921063026666917",
                "301018278939590581473983391483014372244",
                "296575470412946527493411278102064675859",
                "19631073208201089212231476737864165298",
                "18965511192930462333552938395961216288",
                "14196442427723274485157041267538751856",
                "54090816606333780047814242398621404223",
                "332990374903544820979921991898103116535",
                "228446752763464360439070464829463493590",
                "334759373490090816554927895619132567502",
                "200176469130328633189492228724151628208",
                "76892778314788444710651653390871254168",
                "158322865626436824305327363373704257177",
                "105885318898398706485665220883295958079",
                "334640456250052306141714372967160693675",
                "134048672924305178262283118049116770297",
                "179354432143253888317031165769423909146",
                "280063745830557540479399903983009478804",
                "194140287824532394084875690356728275036",
                "104886235486588693361228964638857765521",
                "132477478511418873432175127049191739144",
                "251719367803596857479090346132815880852",
                "210105456129508488332652450937993453463",
                "109900647042317700547154120919565827323",
                "49014517681574639886643600571880501038",
                "55111357380152476823022435643692842286",
                "6400972234708217335920086074427355077",
                "154024471037190097172963997174380647522",
                "48360597782091312540717156001332287821",
                "298157356521588811314979039275549797040",
                "233833147517414182452260927338160970711",
                "222431342137071284171317069555687174631",
                "127563928860862767376515698693863105309",
                "53505080990462759923929509604091683651",
                "77460706385453548916551996973882872305",
                "104775177934015068733846082538712676668",
                "149035160392498752677835805541864552785",
                "3299064506813287924578650054027849436",
                "283114276591229346116219005508668767484",
                "142089963537055674833148942529166039143",
                "294382508383526683546891272481078919895",
                "38739121911121527056374120774703365956",
                "30031966280516915819842026518233786750",
                "305794062563343436363767779194992632200",
                "115955135675230820639784646011003910718",
                "314036576529499668930691981303878004865",
                "210849322379511113378156448104987303559",
                "174747550287568337690173122674568772097",
                "122064586287259294806977037976097027771",
                "106609283984852605486445294181869056354",
                "23936415515688805595723982955607810853",
                "172521750186868496414015283035227917196",
                "141648268091377516751019042842723920851",
                "85518788490412401871877836735280930246",
                "224246208421279947435220549185630725990",
                "205446788264809657708394754608127228946",
                "114086707679588746500454856668914597132",
                "105469392019391116304942527255684130427",
                "287500465337441576593448780700010218445",
                "43117127097872256229475214544673152363",
                "203677441740960209668231110586086860581",
                "163830286684150359731160005178893403979",
                "109905865657753829018649508393279814896",
                "56074901170929461655829248040336765674",
                "131669661057496587111061335662925797794",
                "225760435768765870695656857805514418336",
                "186496484693923193533606554344967967154",
                "20687902114106619939475433577112613791",
                "191307876982313264094104116579067134311",
                "263807941005804698440434854302169379838",
                "179148108243043924265120009032189689785",
                "151327543026172702464229348261791187250",
                "55394225377001675256220786294905160799",
                "310951688500384357834168388987093593800",
                "303768080260983114124380285728887533542",
                "198771587968806468586208142343671338450",
                "238624522210319573213338404402747944715",
                "314791775645406481371835747221643472943",
                "331005564863321105425938115544288695305",
                "224190057984510925945314999411781242985",
                "203781120796346895350746989697529629722",
                "292807830615067570464239556655190134443",
                "180851541375299637070026314201140129304",
                "40928167102805115690150741561382107347",
                "219198805394501661712803380140119710062",
                "222950763477598107544080561105995472570",
                "290154147669477764708927637396456587179",
                "165334722469820088327081139267871166682",
                "142634813282907643692004790873108681141",
                "290057911491232486189591994790449038358",
                "301032379224751354964243392974878791611",
                "86941127143574585042120089238879729588",
                "44022563814607679063783810726175887560",
                "260451016049339193369040967550647632340",
                "113380124298906589453050342326945683191",
                "333738957336929162867674003721496439004",
                "243666069472875593575298947840897192531",
                "59176071570924790157241104834750602925",
                "157607580819341883740407697170449687475",
                "29985794875670212681705054756975868267",
                "115156152713975945962863046974646844680",
                "319643743040357877837025768830234969109",
                "249764636505412283698022578028597199802",
                "152824038186096242351903822725495679974",
                "253866911079086048749893849822006814139",
                "86424102933051203473398836845543894296",
                "162356806133304414951182637827981993245",
                "162205230674575274208749212123686613396",
                "263097663811615466984121603886201778725",
                "218986354860701755190382707530552581687",
                "199675301343833559612983481185113705066",
                "243904499614075772265489308590487844301",
                "45497338989824697487010273881309370568",
                "311516859597428548681601515993669011680",
                "39812925570708048880547199884074667842",
                "61946964006544642129033062008830242954",
                "97296291025411214597569247489950682812",
                "142391405372190373360061703357854278594",
                "292202563889254346137835005872954029104",
                "194970325806688471740005638138952641235",
                "95806967433990232720831402868735005087",
                "281368063719799806857960847614904843745",
                "276328039262201299690883149733890321692",
                "317142069171577779885803809653815719284",
                "264388577163454628625718908327205582017",
                "250817624696046914200263773663311814935",
                "183054747594339464747190866542097411826",
                "298039212323581827419486441631230774691",
                "90446540880091342359884975723509713912",
                "303472293946615396531584133520273019146",
                "52529781728926464583804052055817727559",
                "176430517634277497998297611547802122701",
                "60421930534563531587586445413950142807",
                "340030106448904155776548388883797498357",
                "87664547267263287500875152283919589168",
                "290292909952636175016227308450458768996",
                "145161703281637933415496106130679981897",
                "112930375753768046627248940054490665158",
                "257239542115907640012368493921915366995",
                "232326345548064515201348501238249499200",
                "232462540013728201181289884780565867130",
                "25391405282632941818709493276254511562",
                "113776282587221997441249993224103372674",
                "283102130379287666871079419828333536325",
                "186261901729968708892807354681988801507",
                "99326864922567303884989066176705651124",
                "129333195312351559508745937998918618674",
                "151229112934292567358243354301007472383",
                "310775498986412555846096975309344056058",
                "152476552367001424287166645673461939453",
                "102263406334156689643388320951092403458",
                "252407417630283598788419256380803426159",
                "213569152916526247206664714921478502012",
                "138818231179680052266439196196286237344",
                "163825972716040987022302201273835430276",
                "317908119590419740384533149300087630244",
                "103659625291284331043906443454558127460",
                "133998989555766610473093077556808405273",
                "72970824746636751862899592985583889242",
                "153681018511567268712360259320204851919",
                "23505329177517265013995045618736345352",
                "28724343873746652291766467906558027726",
                "78999182286824805281193199297280429825",
                "32737926798385914226793357195337722590",
                "215600424813257057853625149636158205981",
                "289191913081646807613530846374701418416",
                "181070341249623344301824406631689562299",
                "920805439162038899490366973164305519",
                "297775855697541308485220648926349209116",
                "94835779690640225329193570123155920466",
                "214801344349318309470754592777322787225",
                "157770132465252989561371824033194991204",
                "63938812536172801090494080402187049681",
                "239043874302641294178560434439710113524",
                "208322486117865134820657390844190393125",
                "236222479295068932247040823913548517794",
                "107876934316743309478039042702557617525",
                "218839012969278913407587448372490386974",
                "234067632380905688563372413431609104466",
                "333197376774406741991570514295617683200",
                "112545042166186611960932873407221230733",
                "244835664946457701245251020507586590547",
                "191785684871619065895684348663542927766",
                "10610759787427393812034494215153761962",
                "266277836209884862558986632677847184942",
                "20362393756929872024168728860453485915",
                "153258411544385712338288877951031378072",
                "181883026016995307372412512758645655837",
                "198956339367222910561667684322312778438",
                "132223889769435804104273053456002042507",
                "248759816952173922590239108583674634962",
                "116517689615102378118673586938119633227",
                "172762602165757716264888978191187061217",
                "247339513954002673158367559542710936883",
                "246440878853058696730978361773625019148",
                "214010803707567575421304323888422611856",
                "308785883424809199993959359494603121954",
                "323703295025148147975288481242167493757",
                "89565942387400538400122703929865011071",
                "176311039432146614541386793003776537538",
                "25013564060265360447727084320582189168",
                "219251065741868508688432336278023911465",
                "78984713010911514203731490671874656687",
                "46082469405725187741153199662285197640",
                "311453760683420835907005623656867569352",
                "269953573828258684856434414184488888465",
                "177644020052676777343723226182284938559",
                "90800018896031975219665875929437653812",
                "48738591357956380571453890392990674201",
                "124077805400567209795963371111413320436",
                "18085064724561044860054024163739556779",
                "18299428409482386641736848923240868540",
                "100402296855934772498049147765405902396",
                "293312184764846871408553621071491320616",
                "162423397777814877054164368230775802003",
                "88851383024064745763363812114720651031",
                "294642313785148637743318025185385307632",
                "57767607023849818056456814121653212593",
                "2834282964268893991295042962351597338",
                "319102217226525832711931364301510789518",
                "187582107652170110870232786671294186203",
                "299528689143049838983897365705842952080",
                "338440839374217710893273809106195661320",
                "899773039943987503978817866375842759",
                "191769441041895858367559760574423573326",
                "162065473217023997858741058901186012202",
                "212540723831849919681159578968990540475",
                "273809374731442656953201861848351191071",
                "290232194484238499930861361118517318021",
                "122656823220813214865997215393142983287",
                "318824999920697474847881325485099565427",
                "245961937515997058969525492569815909785",
                "79360917705852672239230267559554198765",
                "258191780083321650167070165435045571481",
                "79215554875279447576619730840275686586",
                "289198721610842412232351607999097524587",
                "148003389092092128470571331934631327225",
                "201829450286777108007784248692523002943",
                "311678121252117050077316581023741474246",
                "171456222292691583072215370792479495484",
                "133803691866837920607680526487380961954",
                "130773713426892887385485526238266678534",
                "19873277714380962460486833650857341907",
                "57651259322402157981180348136564093610",
                "183103791950988324096696827351615043724",
                "299610000526166414729655448314448623934",
                "130410845390295176749173010254085426857",
                "281726251594292328400946864748774710574",
                "259577637981133023399785831423327777173",
                "65647689248228599332843544908198703474",
                "86467074831768105167253498310044668955",
                "71952108517495929437665001726608070585",
                "318123163758490262090632306266503345180",
                "198839339685678679320652972211689724414",
                "66324040366560516061605740173182475832",
                "216025475024380051757004030539263948476",
                "102713361754109445238178804943020259295",
                "206246871133824589688163549040528648143",
                "237180270815761496923556339686002084905",
                "207659444959813337288934222544305478894",
                "247377038530423593284816572865221299578",
                "73029609854483962939503742466497877189",
                "333852950809208898344264775301911718253",
                "149338483037346284670389930775781600093",
                "233033815878621831308762323621706948034",
                "306754083314603598125731702643108193520",
                "109614551910638055727523312038717468629",
                "193756002209141544923119705760318482376",
                "169197003698003458368347963193391528839",
                "28025967504877803572754400748714143829",
                "29708703098381950482652006625417414929",
                "266148385301206028025308502559392406448",
                "288506110087396677883999778370732026355",
                "9954728282538091490755593745373212367",
                "302221842366852146404981699186887358933",
                "91024150010615430920603503431738122102",
                "214474100817859144597301305477765984531",
                "24543808468111809468628736152770874931",
                "25831455019815903071223383202748723918",
                "159266817851636375475856182498419701345",
                "164857400199154802964894791449338292636",
                "287242245129624566113886193501040769946",
                "207061293827549908551453472651701489835",
                "198669942748527627417197021552319378379",
                "152775196242121433967944472541093252338",
                "126303724377397085882767369174265234854",
                "2476966950224243599793412288797621672",
                "111464068103332423422116220877352332379",
                "276563017645486334528549178279294009317",
                "316655703259115397859899931416420569749",
                "5091430760831335268147878365579002933",
                "7302277015558416663277662986925608880",
                "60936583265088287985990757304685393343",
                "160052493474788702968712171563537300053",
                "231331829655981530424532471127559980109",
                "66784934826327556168739239109667560918",
                "19588769906590506221608012413905079630",
                "198990407877385327427989110730161851531",
                "250759028046701954577693885853590858499",
                "277050246197366197290403617410302337122",
                "10717830692771220956609843667528278658",
                "127296750629588373222124410772516166488",
                "184773220567484080151541493273830227597",
                "238702317021702531888575885125795891831",
                "25339498650198939655466687590480643326",
                "51814804507304239214095821315440656484",
                "284593460641798481040662465045800359812",
                "188070994706841272100897899853168286053",
                "50335941370688050915742274706967345417",
                "107199467696474626215604959362759383893",
                "280280381540907855227118190099194666193",
                "188387677110567947664813014276771584570",
                "56400866580250498919621404613181702737",
                "20603216094110779677834444371711097326",
                "298175125294407539925961123377145682200",
                "212948353681396380479666303101855582824",
                "118776565086648160300421955829718404081",
                "59234873802335050127158425031261082335",
                "209933644660296868908153467772809326695",
                "48367029575140812427596710473691367899",
                "48996513202437276732215324546946764156",
                "227923556462004176045845123524287638964",
                "186727799137233315351548164252774155685",
                "210063848194686366160003017292307302619",
                "226665062506828204213473276562217814387",
                "332947893215371092655976090701633500398",
                "195546539727979992130255332336613394933",
                "10238630169811783238635675227638289532",
                "211386258025205810159561490473422882351",
                "119690737286339423144383938758831975429",
                "330615120350477717915656393990611631397",
                "229465639346546004400304871116828398913",
                "235598285130185238994602395866541776990",
                "338015597618246296180350893842874132547",
                "317818000306996897263010172709978460613",
                "254273863485116645164776655706699160769",
                "225932343794862366671212323652791010067",
                "332844772627986124839170393573315304093",
                "112537342450797519635090034557937481296",
                "116716739335067867620502643612073885717",
                "126807901729493818870440862598342400260",
                "145203725958291615904165390904500255292",
                "96797406766834097378573625454259986371",
                "18584459200590161432010294639447571575",
                "33917844124084121203264940052250294876",
                "255195113842453289139492174749396362117",
                "39201747173743505465691798846616773147",
                "180061579416457651374749618037669922345",
                "203661980169896529962520448882726222634",
                "45905410331061739721263875015717093628",
                "152146187885766808405877204177655032257",
                "147584149874592943329965394364063347869",
                "256574494622342832638405006701238130150",
                "205404395256830713391252038185022857131",
                "207431074047551759046821586092509543988",
                "289374036878893543685370348583682498097",
                "145309860566417950571071550616829646599",
                "167170670236653629013595389623293731820",
                "276929702343408915006845841331922264965",
                "112276813278651001986914812664466515443",
                "172142458998668290702995027282178900138",
                "75508775235037058935359200772051140243",
                "184260000771842954681282296016223379588",
                "129416228197236738200611236723455613886",
                "235476131565951709953923733414275022975",
                "332012526288714759323728503651739616343",
                "196708281310769759933090446615098874670",
                "68470966140294403514585681185261434079",
                "113514020035783109429646693046676612740",
                "98742201271731568189303967972244296188",
                "196933662090831547875104283087673856408",
                "196680354479403131580023908841200645164",
                "178993125102955305507465360580751097706",
                "109619400004865758811283756998750043517",
                "45630384763882106591907478664431877626",
                "3251996590574759399891850404074481639",
                "96096891081117883479122148306415237579",
                "294651550913586772471328501640006137523",
                "48131262204993207509730277319552646214",
                "304253920876068228334524797675463128769",
                "139801783281837204661188662671935932724",
                "202803960582792332150652652880920057341",
                "317226374465615897299389574527101012975",
                "315540421111705126079123261877100815082",
                "293422704655867152207539037822182207333",
                "173692038105235330364330275107359605323",
                "141140440490754449578083574442264519399",
                "161173425656385045620361560592492649416",
                "10866438865152185349647268212105882257",
                "149175702887785251990069008584524620953",
                "286517372349396619442602650176641561866",
                "298368530609120830592644738581401197778",
                "281033065955078201922854547087938671186",
                "35687638014929039055573368515833833230",
                "117314805684320226153110810224251639496",
                "81444664587351442617465832800163657225",
                "178445458325070618860352856427390707438",
                "47533387052074735688451611176356276913",
                "315050594965202505151851846577872233640",
                "193580628921175590791682460505107822706",
                "133782589840880936588104109529217870926",
                "186151081441701096392082506115589408786",
                "103251843685797581455163962874047350477",
                "166271914648644437311033431296107942490",
                "160853790754658023740370161479633504035",
                "104930695607342432177470046303734846106",
                "6122900273807937762389377087229273290",
                "97940206315629090559893747295107638149",
                "107941941165339881919493570622192999133",
                "39591951794581655972428672859485869047",
                "180877891159564849044294637586004062448",
                "111302780418333680386644291142444589894",
                "336907594130951487414694183104789860898",
                "304117333558358409711920950131375306793",
                "104153247991594125772041789677013437843",
                "321731535128673561482317144401463877109",
                "283392120668529937811173909695644846832",
                "305222293752956794928940955548321862261",
                "327162197649415544262110475668712443596",
                "226192785401241078274252458043686709095",
                "234751129449429129073347061948741764947",
                "284305902509515294533581919269279873142",
                "47987559393270961632710545124029975646",
                "333432570245298382338668936365127407625",
                "124321154812982962626437533146007373832",
                "259104226251558706700410935688735139599",
                "117054768317052709408011144142350473719",
                "135262861997552270212575055617474865750",
                "237185755132999935906812068326441077810",
                "52331713828731974417928120396200231282",
                "20110766448234017475851022636501983694",
                "312617523224771857397850984502913273628",
                "237288365906771423522041241381621104401",
                "319521419140069340602358039379325152017",
                "77755561905908032976111002201216200737",
                "256681923967998222008174692680727657043",
                "279735209675150168607968786654302071057",
                "287477021462921010422715023452606048553",
                "11127271077845154080720107960524064093",
                "306619607053388895424419042619173768601",
                "214924356947571602465267264213787211023",
                "90207524554659033753823139458049271981",
                "191078886403051600116236969355109217963",
                "24060391936745269837290938587908086965",
                "172335542812665151034486524217636553795",
                "307954175520988012903823326430478940316",
                "57091391544925773101180606193407488119",
                "293067784298543689063593344260805969077",
                "327992691867117989124436390249489900363",
                "115522567947272942995635409988422973794",
                "69342341849949387431163591761516754746",
                "197123881687671810498348908269161229551",
                "146064987018529124277520181563836234008",
                "209838811288509178683906706705854130893",
                "124635592911201973252285077326675004181",
                "194375535010213683838747036061304205268",
                "76237344212434084154312691133501345234",
                "234490671816726800332822390633010738061",
                "101084844140257746762841564674865989476",
                "115825274760658094877785437945562235460",
                "234059928561851152367899210533995754823",
                "194532063568679850102366948842660657388",
                "254930269848817458894638163592914389718",
                "198941726052440475598624484793216944448",
                "140187940355770402007576300065248790695",
                "333122510220052092290426287406540783265",
                "202634060829411884822041705995678848716",
                "290173526520734612884744907615240316055",
                "288543505976143259908765954293898255387",
                "167016747840935417878545703721418787995",
                "86580324994092209724056658115363153662",
                "202560281684118776413921921943728447264",
                "211720635441367349581867914777394263845",
                "248181975254555942894232589952054131854",
                "305834084579051321679193684977181159672",
                "71415601402924394654029861371153361868",
                "249052403684312357989973789783118333125",
                "33048793925443976177697290939567376918",
                "321863087196049729087672908754597424811",
                "55778350845041841816018011904247899707",
                "17895375851651011153689633405432214758",
                "131752493658598733381263206305419617659",
                "153731587112653235714144580307415320987",
                "238103595451657502751532864786127270785",
                "9115145552611423331726562997956179933",
                "178847998047138993081698448315156850252",
                "237596152757012363897309617146408077879",
                "148453967980558373559744456230258690831",
                "156193780590696169490977643776908249835",
                "334601670822010828180725921267028105332",
                "43789167118663098783781774702681499884",
                "320947232749567874616568827304608622180",
                "31686721653954682835135698806340692961",
                "288102901007915289413038118050408312154",
                "41520426826567529015494687026627024660",
                "248257581772587827171525049836230495711",
                "336844258897709690591965472874756121664",
                "324625888690254273180216016809933898842",
                "73555239873164813588705298649632985279",
                "312567084737674775697332228159102474564",
                "162565993074090042904765313246996450908",
                "55041590799302166016768470678679894019",
                "41286743407453131527416345107156040150",
                "6508711687476043110737489220318989054",
                "18080991951307620411799262589774869628",
                "90881750094304737119989959820845155131",
                "327749720508600060353569841708803274893",
                "10226483601687979701119836374310516151",
                "201339085564369826683065461370804719313",
                "325158264051063073019681052909694064735",
                "279222336958072845634384608893811718826",
                "32648329356899251200839354012014155412",
                "298344501052217925397941555433085046164",
                "171697338701533326253969393550472995583",
                "8742515426021899381918492341773006793",
                "198345699063081600059412197846412692637",
                "37775980684924725638522777370113600830",
                "34903958758780435266150398887680288239",
                "328276566109207206919372060929472995727",
                "326782374697284578396092681888179292731",
                "39199783333120465125163813402596558512",
                "239292367214875157916125725728245995572",
                "29369757541215651362697458628694518704",
                "257008376712119530087245349962019401356",
                "311012546533657857337213741973986660678",
                "88897388964693130298801229492153564739",
                "227119994374097810399317397105410054646",
                "44384054514143750078027803847849361177",
                "177107701020995671036027493263853484603",
                "229071740919541875081162905759695280123",
                "170776647681721689182804558136458152492",
                "189872077791571313985865501439984421053",
                "142640550065069567182503272452187950819",
                "252797660137003297867475252761444076655",
                "95576215357217482007197415721954767665",
                "331341968403480810525786764639796781993",
                "288834549761888673020003851413289504759",
                "105216351151458378830789729669141496540",
                "55410010882120383014247305137114258948",
                "231547896559190064267569816952285436814",
                "108575610773043035381384410524743585868",
                "217512347187280552811122706528236662056",
                "193565533581654961714172620660404442274",
                "231490633961466397919959442574446066393",
                "181056934239801263939879168003613341263",
                "324116852935058656497632429345804826270",
                "181823021269336099311523732902097169926",
                "117055953622028677128372405625160257498",
                "265568710641913276021552864046848719343",
                "51177720068859953367718111577567929157",
                "325834330155117546156076509060943954722",
                "168424834910709360294932039676132385671",
                "62931108061088683022381140921226759575",
                "105897625688973077820077022190718260825",
                "108099994791459770233015121572045427478",
                "89425737588498946966222398865555023454",
                "307765091202586563078716959658716527442",
                "249939846853546102820178416004247540869",
                "284533814196194154411082850072173357372",
                "321291160871073703085758650284927019154",
                "193062439374707257937827338759257115913",
                "28738230488766636110409452877816833076",
                "774019298577165622127920036305637161",
                "165010064882344693989058260145617776701",
                "143645904062522146213244316516927121722",
                "207311521064444689826343517754102631248",
                "76428660169848967428324348086580858017",
                "133489460515738493911025346351900694222",
                "250858719435531531962629949711594020137",
                "153133396338880186928647164973159431853",
                "201757200343341263554659335772736834976",
                "209227098691974193416775684057890906757",
                "319190390284957158099574177491036063970",
                "185211516558062883621093023170124471701",
                "95418103013819620605240790361192722371",
                "325826247547707281964233268858621966760",
                "52328795064102867376802286890742643332",
                "160854458626155965270154389223132009893",
                "80283861977654664820303627782933184017",
                "275481516050539147636101811251891779298",
                "272247593368437570404993739212847141941",
                "238958717598891917507187283910874987764",
                "104729066338786294057268053455288767397",
                "218524195958973316218994453152385753927",
                "301356730065682371042814142530197374212",
                "132067294015804876817722911450332631357",
                "52106564611462591217511977891610349550",
                "18185241932810442473382643926648485322",
                "103273848133173862598241505975302650907",
                "167178987920442864319442311830522560041",
                "283097283091984891514643486214619584179",
                "210464858765566077973092893099306759994",
                "72795038738636043361464520956800116974",
                "93904934439859273046459571967659811791",
                "136911546847146984406018223535027542263",
                "59344705417247823013905790069886142478",
                "119960837307003246313204222331120810887",
                "290928853450047395566508776350728446970",
                "221176110479245125582982381861890894203",
                "75839376867010902581449905301535689316",
                "312061235459792444623157946455053776725",
                "184006419845355788398887378324771355443",
                "327114654457971553680510349701024820307",
                "208280997669289477148370824874300319205",
                "338091207569849324069687478497426075899",
                "10530178953040177400546880158932297515",
                "48501676336692187929557233093969001039",
                "230242716793859845751595878893400412580",
                "304671682009128029930408043929734298645",
                "318583535599221888455257823237535560473",
                "241917009815161106627468963877720116769",
                "186490079960632874172904483955152474586",
                "252486920500628401317016437447105063446",
                "185549933105760083895494661577130293565",
                "62117082733603594179467417472300338327",
                "256176806877831543928150983840045601912",
                "161706668986208473618577356602766083607",
                "139188829639752933467019780635453082803",
                "31422588622993782462521495289697459406",
                "4815586733913736180127409368522668093",
                "155319559297583830075012198605390417832",
                "11605019889294069953265454665551997619",
                "76499314200428788673911810077626180341",
                "318892974209066748710463087966648690857",
                "287960825307749031704155378799150040101",
                "325799664594700691714730929170772268140",
                "311508830288725468796524097552789924520",
                "251969201796836779077154534879218836505",
                "150933651586652290232145897680661255744",
                "89535700729071264451709881266413788744",
                "305829046694689106348914474533340212403",
                "154545181724098887166611492319847036568",
                "291357331011923063555672401650752276341",
                "339474445260772470959306756871705573190",
                "254524176714986419145656263028070635028",
                "248168687248617563288697187915054728157",
                "279934851360741098698743993578072845707",
                "224680860011966509612628417550424875769",
                "49169650271891864815133985197044625224",
                "192530954160692402245910936268728306219",
                "289425804564486091010944631021815225512",
                "253656288917377871598124636002120451744",
                "256468024448017046296653914749394007909",
                "144870975328983023782915212806448146161",
                "127378251573066687885132112799040293917",
                "94520876513813956157503054209587980190",
                "275143540745883757678896204379471044421",
                "114343769649953724809607682026115175658",
                "315954880726289534215811198360195974457",
                "40591174208240509952746230219449235451",
                "178419985014562928152639682204408418900",
                "29822652389342828252281135904868885000",
                "104543049678148659546389807990540755219",
                "333102213528873679554363819787031480118",
                "111218807277757296474992426297435609022",
                "92993544315540442991961259483044318098",
                "87201749167508005807045716986342232458",
                "132727480784592636228047800841691585974",
                "254702370861962023223592066305025246077",
                "86371887671464555954719415476334956705",
                "183105157761275520861974908022438823148",
                "24596061164820126144056772759542446371",
                "49971055895238992505781066403262820077",
                "143156880832189317050192495582440320901",
                "135707625130115506012628740917472462296",
                "321537869227536175926230625913284049924",
                "19658519260313408278038291129519833118",
                "295514068914277337428707343400486321527",
                "314962446379810241983099905977328794301",
                "48065088109624189946245435750585056750",
                "322155287138298443296071165229864361202",
                "258697373535580007640233231425087963998",
                "266931907470011489728258833365864963109",
                "124886124471687120355316194410100853208",
                "7361621998995661270814098887056689063",
                "254966353160152636218831613564596466111",
                "6721796637527323295353466453497067978",
                "310191987454837964607535842240442760563",
                "313797133636198639322826435068342903286",
                "321040756886148910735211488822777147386",
                "169931146086381501510141470936342845459",
                "246780821943033298614041201943329838497",
                "293030491238999830381536689823075303273",
                "207754800742671119172963652216053043443",
                "166852196640239340715072175085380235319",
                "163128761668273185421405396684710710571",
                "296262349111715428882516491837810105553",
                "10168669194537861882736406813235472318",
                "28468933556347306014788628544540660148",
                "82963751282222543384972696217598888871",
                "199549558195415270021064685083356377227",
                "125145550394495517448387200006752113410",
                "8325885374973749215892040307865064114",
                "225857136154055529938279687413121331013",
                "192289818958514171419684425552405556463",
                "85354494348293485598081179689220870223",
                "315160266925111281917121461265623983784",
                "322357659896201474752644108362893306835",
                "21977503076130316738242260856517834911",
                "194881352382818855373217856510928639242",
                "205316225230716533880360576939888895648",
                "240723223901476196560602771702076400856",
                "251158101354178338833488883392908326613",
                "274599424047969669424347690164766113022",
                "333770357321610602996238000076402371839",
                "167964804744951904803768828937935602365",
                "194445177007821392769910033949400452277",
                "59621490559655098667770072550312859284",
                "299628582170866673727786599133083504988",
                "207922030476032688404275280012239020954",
                "258292255280552285449081698668487686086",
                "286140792766385326972256362000974397108",
                "311011959443389995596629697449039517770",
                "261436188340481687864811172055933037161",
                "121999366190077306859036655401208653542",
                "86930050259311374290615754894340173596",
                "123631602342995907042991078544485443183",
                "73743671693169801606170497385944620759",
                "322011177112695625803788631648258585516",
                "46885658259891521431068406001765950911",
                "222518421332940038219213982307988821101",
                "184276639062935623154112438245108640988",
                "57779393237509590641679986656426055750",
                "316342878705894633077304842042737831534",
                "257746255283490203786305785283995522183",
                "11897982313767163510562141053181778235",
                "79569019280511390889687234728391843436",
                "214820751561601831758823791821629683295",
                "191269041141843881653477402798818017283",
                "245387576274572012880237976563284325873",
                "194188428447081943683894939164876464207",
                "167088016902336762677236043333786984510",
                "11688589809867081126198610378448718741",
                "201535555814115325876076288607558043679",
                "185108144612004248821134541944553286303",
                "262827149964572724934892333794382155291",
                "10399246482237754562504105910242110672",
                "46043054648279896555454353629733751045",
                "2519729409974821542797932825158003194",
                "307473087276377724907300949247272673238",
                "73269914042336118388250503704663826057",
                "321003709915025876988095987258998374033",
                "39134266319977108482142837019694186210",
                "181562029479628227590317906001663883816",
                "57555298900584316028236522736831245145",
                "32262292274483335240426819420338523953",
                "8336447304437275857464487975259465760",
                "226516653539172000077712468613026637098",
                "47442887421576875459860521077147560379",
                "168537688464194599934042169117249762650",
                "44048724242215643841482396372367936572",
                "21707291482097888387501941699551366449",
                "305914611181215620476163529461545206047",
                "331043836162288420045990735796652606204",
                "285418241737045521410596788906858723376",
                "292047476868574766368117869830640011427",
                "68377778792449808899249162717072859220",
                "164834539665592044352549110206545446358",
                "109878542174435916580846138764000208409",
                "204633037981471440826708084753054226460",
                "73408150706003475108442638874883041195",
                "202769580786944555962812627231697684949",
                "292334083635063987837009038476408030584",
                "35553728061573309029977592115311197046",
                "117976349194007352408098874537938573031",
                "94875344486548450549689467946867484192",
                "11272375232491755378849661340636836709",
                "93499067182374455735807371538003400079",
                "126737416925993489066011234139148915486",
                "215487681528932925450976867482775459652",
                "165788272179226895047122269426026515209",
                "281661628597171054967175313033559039916",
                "31991938558598243987058717938381103738",
                "30602165614729606775841345771799769836",
                "302696149476428336257824266929864263066",
                "7906888396313325082737298598226233693",
                "212761649955713514879579487466719718550",
                "176543283813449410672361917922194550066",
                "281586404033944677146308829902672591451",
                "258590270550405619985645380312988768867",
                "47762278256219180536373470635383309889",
                "262220319627848962821601867920035838964",
                "185176924518807123853004948710595531539",
                "139697209858399368958830776842520390218",
                "330941580340727781487024632221265129102",
                "300345626690019982217830831773819838016",
                "137313879649222557046053779210351217478",
                "184669888718663566511832388053832061223",
                "45255926205280006365649949113441867729",
                "249934166957718498962284508677447425207",
                "188788838797517312663947340210270630719",
                "157639806677354641958720933340773976969",
                "14397936923580056402313026394111988849",
                "139789724566163571904725871384913176945",
                "137441865186673033241420082781731115667",
                "315992537186228437065085230662550881357",
                "123993701771807965224003678374419119670",
                "21407115591430154315460358923429093905",
                "24231821999460219684350408736977465813",
                "118527506094404029151692698646847507085",
                "105746152316418238290209805660689269969",
                "253599169534750336686517818736399314275",
                "178205591268634651177026118576471719390",
                "312029030529889380185247716595720329933",
                "254884374164634656388790604142782219219",
                "299650852618825674712324634844968276255",
                "153889200327555542367546927404215283307",
                "286980083327600711437035059775763728666",
                "199379860159030689477674918628520504720",
                "167472793490175579826917796627897172538",
                "72176515722793585636806471445959899006",
                "307418506502544028638651643840368501266",
                "164927648442867692893573136767997387902",
                "250746159190379306825302025256065353031",
                "64691550918325648234961509520487294246",
                "13160979130888591093177202631399591077",
                "230716089476953276697725026827920450335",
                "288096515539307126051006040237602479458",
                "92954294142936744813159195413970901187",
                "237272302550676765453733118503865758656",
                "332083883410791402091341681736276315974",
                "138942824363178737174404400811811497615",
                "86402247713819314639516390281116356521",
                "299086323549453569647603233174946135841",
                "65024016225702767802046871951419148606",
                "116488901619709160808584846071442646146",
                "181215779288161595089304570687461091128",
                "317273674545100916719553723846155853121",
                "48907593432849703290082168556037637079",
                "322226463687579535355722910091225088230",
                "109137919832405570469966831735184731861",
                "224662410426808356002068722238817467433",
                "255906869358785660186278606229981719258",
                "324065568787094419648653577443672260735",
                "243015956242300744191849718473556619257",
                "91126725173255052511452352665986368838",
                "125628380938915737083271606905077866505",
                "326873923186324545379891994852280007064",
                "236189560318860051024530506906766533702",
                "217738021488313799767731071904484135805",
                "293282189713533506803882715922065397288",
                "37614598486146212706004723261408090652",
                "284947560891212563219903824695031845588",
                "75036599660025350603542310774892017150",
                "243041846202253783668180883784860504977",
                "161237186174603548084863919301299421317",
                "169847313929195310498366980573022833985",
                "114684215994343205347948616805837662583",
                "131493584825224068082011798429761348369",
                "220470155653642863241013940467395659149",
                "134819769557705511204149259041917464293",
                "206636355499846036559345146309312122253",
                "288086977930114856870499992150365941823",
                "128426033349967492764640515802297406241",
                "204453907278403671268157857471649259152",
                "333790666623227213029320025022384068451",
                "289390188326405079544409226224546523077",
                "324041585552935451253117895569723430654",
                "223034377299447540689935936865230601535",
                "264471047096387228268190503865260316720",
                "176915241940635614801539302930938405067",
                "192681700524941106884015048554869100309",
                "123780964730974436752036755180451683826",
                "336483693275742236229498575372540352162",
                "146696494378132435717551731653609772944",
                "308495418745211445773569260496472980844",
                "316542850680720963572046165726811555928",
                "116664976576559894891800762149810908008",
                "67939463058083161676120505094247833092",
                "102151491748787308812935389974244388999",
                "154768388497332879397928245205362707797",
                "297844714404795760659606488695056651343",
                "303464041009546272251207680016771605899",
                "329791888596059983817151533208318691143",
                "143381380380689357309958233535799696652",
                "106495016571744588156624698264758973811",
                "188207194557172171058153435278401067768",
                "174997916933557024260154409038592774470",
                "1930137877657936453986944977548016251",
                "19219823671498203528467141884814544173",
                "85251350438563139763655489041844091943",
                "57431253317287910736691472222899526902",
                "300241939817367214375741678666822457389",
                "106739373780165987995219638667058624105",
                "41863052243989975708272552530745385167",
                "279440604815208333366542033996123595211",
                "281323944585747339022480413653019290307",
                "51750947059876317349001844230639780770",
                "94371803863950036285784481485339424244",
                "229085606606581026230005989273080569996",
                "319431966146850117131641269607863789565",
                "214728778843961675835567645150954519100",
                "120642107964360435299942205484877142480",
                "91833044259169545222708352501297084413",
                "255506270218420752048010174248149684287",
                "110647209639874263240245954619493971345",
                "127878257906353930628497512019982050668",
                "40202519361635730287543889474177798352",
                "137188406107375127903259888400291171663",
                "322274321768340250767656496612967193881",
                "284185879701711438436406291658890777297",
                "7861112920008415954559078867793740996",
                "21527973043193211274581836327812253976",
                "116470913245209308611933483166523875240",
                "287136872304134210786498993607234421272",
                "270432852400135415176306297024798624768",
                "60355975617623112774752560873817277519",
                "183211441893913993663691585411094572435",
                "89742883893146141861985048321882091876",
                "51117056962898207939122171613647021110",
                "53985834181747367586270427300423357276",
                "320928920581230596985387221715789683645",
                "230797384020148500290815426348386195085",
                "68189508183776937751641350227452453965",
                "29532346026398411101076663961111918010",
                "291343844681396725480642131881953449366",
                "188844527429582529742686473532408813739",
                "1353767228404422800033525518216229556",
                "115851158059924793239978813385727746082",
                "56870910074413547272346827417109198119",
                "108412156433693792069327171527622618071",
                "276092054351178012317992596532906854001",
                "189061534872273332105225240172718592761",
                "99655757378917351722830485292554016067",
                "155827356826193486107611232242882029989",
                "80704299172163163666704367662755707497",
                "72782131257905860750133651375656546826",
                "62526331836825416478147782645661868705",
                "338720184341411066930142326968246514056",
                "251513979590036470381472918890283337864",
                "103496304888018708140032355554195926025",
                "70019621272325871031859911444037644985",
                "219593476660018374872104617919030842085",
                "3157845016550745357086119843483368581",
                "311836542509461858810218122032104753930",
                "16383287042111772837159703455528407629",
                "16342185051386136198812470725063288752",
                "208905579338680413053741063327767948133",
                "281562475826536401011172772499799518000",
                "170485945827423117023188437457412831489",
                "65320600810168163910867390751757725613",
                "303671416557342230002240440622979552372",
                "11267589322019573937245239074778668607",
                "214941558311223431849934599040282152515",
                "254393737887164514523600736604979806331",
                "83688015841766040903825560348496576285",
                "297116941454471260210897358895705893347",
                "168410384263184598298903348912202523210",
                "108902301611767392146654379933708380217",
                "324787757757700495629173730918108856678",
                "254752836008257464231742571114239915162",
                "63454827645426324218266813469777219799",
                "207199681477192337060154903827702001033",
                "311454351382050099217150030268761912742",
                "189193063132695267596157977941147335004",
                "44406369314816701694867024620391038003",
                "68664460855983473050449924904647622808",
                "213214558749645519673668223214858337969",
                "261228719682924092059181788328680955674",
                "309312900967724686481994582244179206791",
                "75864464077046180454403457464084906116",
                "40320556194476556338235399438374082162",
                "209164382822230628885289317096358525891",
                "132750054616822898936827298987102566549",
                "317152435926006639484649856768096923792",
                "89152716957244741113263184611516875452",
                "243244034957261745032404943445740873287",
                "330449826679761396437679381248080497277",
                "302117767701463479277364926288443130854",
                "31738667356311864603002518451688326364",
                "254952898319874508593233967934812720242",
                "105492841983910970718366038060708333941",
                "165366994136560997495112748217871956634",
                "317324900305117170791408402419199506472",
                "75552267443411809273252022772081620528",
                "238603094925949234345656667083790923501",
                "185592960483711108827461025040110750618",
                "118433254480194618031705094054544150016",
                "63531145484551386658985780376112283425",
                "289916816791123692074796163592517084063",
                "255863252837454282901472209056426730187",
                "61258148399374862001370049014180293747",
                "282536378130839772034207648600442293913",
                "37776434975122925315070688567561636407",
                "4789776015381226001536432029277106397",
                "183215595131447354578245406861538468022",
                "141408507820274808640078514523023782015",
                "219069115806598588766603118403340355953",
                "225293224033276862785468417019667545223",
                "12949597554978194113553686743178491739",
                "145231827516939071854399143594007003944",
                "143503828417307140838105842968397137440",
                "157938641522350583123211128174150036864",
                "328803179036284818368584169728725561289",
                "40204885185434812624572482343095691151",
                "262003853968822930403081433678718263990",
                "132427608584733104133705216508432856607",
                "144170854758249933250461577816027620595",
                "143843633958200548329200497797648058132",
                "74279547776169767007864220768912219939",
                "52171511680272919362678723313443993300",
                "105455758108500773276253174093425862294",
                "181115736170042681597507175066963890973",
                "78657651345042942926457638557010877183",
                "293690560351416739264184683499480920232",
                "103066182813276857591705545786743621851",
                "105285627032010136153467434439165456094",
                "322714993430402984279882302918198370962",
                "279041720416248645257355469911982592127",
                "14871520415500724281046801985350927306",
                "92355783807246191054041956874319150515",
                "282871821643701618375989867845394126711",
                "87542233267475529165485756865416150237",
                "340019363630294098585943240214766962834",
                "234878411818220230682237406514752349487",
                "6229657508205075963987304816786716105",
                "156968269301905825806716715069451130763",
                "52506080967307947186854090025445597779",
                "93753331467363231428088046241701989421",
                "288824451627771876048618156841423488979",
                "298042038528187140885989987217825729679",
                "281908468216142974175559256676350454096",
                "284288256701092377538425668937074504176",
                "311384833099183222477708712962958172503",
                "28679993186967375085555953686818586263",
                "338665924157860625129075314937607443065",
                "23565158502067905959884699822909702191",
                "271616735570916837191562283859738956224",
                "318789984054378810500030207023961201279",
                "285616988310225343334924314336461654539",
                "77323728150684638838246866200768857482",
                "259201979735286864209764516216766280797",
                "98254276223732281694694012007264510137",
                "306661532227759933524473994392247995792",
                "151758353174937580765158117138286548253",
                "79317483733420611296885718091726951593",
                "47858775116233202929800336447107419860",
                "312319869060505821575950744100962129470",
                "130063709613315285084799871635301857441",
                "262679403641619796591420750171860977754",
                "43101494218912319907539661046005491225",
                "253143111057264062785160069533993912101",
                "24587451966362285995220910563924992031",
                "320844165519300025370730748133053945467",
                "190405971501242962190976835812522678540",
                "272014495921012313810952572773519268881",
                "109870965525044839935087710625923118985",
                "149165810033699298525841202851206239212",
                "243056676947922451781825591419161807405",
                "291203791102150730910278878802528112965",
                "10967777801103258478248503867088537593",
                "305269879832886109478859257505117332257",
                "312427196028197478671208826879454333155",
                "280929861492641268223944454154018341477",
                "66257037459563157197353951551032879867",
                "328486184721551760645428071210257073776",
                "70658888962100660456990592895331902989",
                "194645159252173549938124314762093379403",
                "24414597748580892693294927175918165743",
                "127150190934181635524540456293853859315",
                "153405814703547506184424070260550152885",
                "227801489655964440583381493705123359744",
                "45356928807081845311200984754315591080",
                "229812307849629078325623183200783979495",
                "306790134306040407506947657539597561727",
                "324535912329811865729725176496210876732",
                "57037359759155726791092325856594247627",
                "20654178942407853903625579626884705134",
                "211630625818317128079803982773664606601",
                "17914823687372998180751393285940213872",
                "218935115156750457372600275269289405950",
                "301629936487953391580226103341893451872",
                "328183111325238334652721074660218454258",
                "191813208504432026277503829391754064351",
                "288802356828285319260097084356930244894",
                "194433257860291675585644240309344338735",
                "97664440071786427374309272999601318673",
                "266178979826409924673640863666794337831",
                "255655534542567316129836707268250434419",
                "128584094537671526681315159127118155446",
                "247653850468432809961930022995906094065",
                "42697052517520724364975354955845463235",
                "320725412642637900797154865669401868420",
                "152914410536943738012667531594062456607",
                "109962643566355669564944999565303166266",
                "119270343731004364303878312567276981214",
                "260568722691485055078711940485391959452",
                "35129862610316975749537491407968001719",
                "186183325130511536850055696110534676993",
                "59452663061351998876555800776653452027",
                "155935372105561363298639219790733868495",
                "35748393331626442179174038024988175527",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "214190756386397393228454482517426713786",
                "1386876719765877573461232683340977753",
                "246979869582301628850618663335474917504",
                "255594468604782217216864942435614451801",
                "262142354667764760748918233185735113637",
                "21820043528270479399665432465896674356",
                "11920549327297721491090497450066911539",
                "130094335671791514316546840531103172521",
                "177517005941931947511960230873386654948",
                "129071048259197625513479945760991126752",
                "202441352828650018113363441924705519431",
                "260021490453051307559683277744852061951",
                "330966670985804191691871860667259895355",
                "134832577175982651347555079691944502201",
                "196894569735028808627101396928715496132",
                "39398836012652916921859680626320652393",
                "339446383430664504814807409468033624754",
                "157065405200182270468149393875314094167",
                "175511327970548533384660151928413910365",
                "210608415800758444280948606187907309894",
                "161687446896452991584413538356710759495",
                "32203355104229398072375906128475319461",
                "101339712139716612965540640212939310120",
                "55392454275427406239948121824620199221",
                "212246083332624475256047135981856653284",
                "126316209826426970049757807333823214881",
                "113542505271400912097313319905949089342",
                "145348631271534794190417261055233198564",
                "91812810551473339681489030223915699330",
                "183766964916000677366536525463714516230",
                "262944209275915875998709780560965440393",
                "329562063790805470365545938243951997265",
                "200374759712315761040494275190859756387",
                "210067036682969881172453751644977808305",
                "234813958883299972211442021604731764388",
                "255146985836570047129452933946790179321",
                "335068602059765417642230701540349981320",
                "111429116245069327738193192867866705308",
                "20324451760663333808964179580912746622",
                "223880390452159771740873861034619022175",
                "141376566490083372137060463581779137515",
                "238501516521088048258360131464200461907",
                "37428463460863109954257746510274275782",
                "163119258033003213167432621951222223170",
                "24766084357778171057810260085793207755",
                "260053469546538992160042235565273071377",
                "170911375345613643409074479162699592507",
                "330053343126371860135871245344287119309",
                "222356490170124832965373939893601723091",
                "254192164455026006076217992196261892993",
                "140142719847579298219625131000847313964",
                "78882324547064008599894592456613878235",
                "72122259974044392200378324905693778821",
                "138240934907843987826929586309975773240",
                "156094932413151200341588559098369589680",
                "106010856012346502712762334451232235773",
                "318916500994068552812878710005463384164",
                "104125153481112139202104792604261296701",
                "186384804870613294242350833276490539367",
                "265964295721226125141823637261997140728",
                "41568608335035073710425407567113975187",
                "195629829133448391599223029951682664731",
                "265364845680185336081514514029591139538",
                "305749144112970948013199633267863932606",
                "247925319784208751794821671238312627740",
                "75405771022757556168603191647960369232",
                "99000223699893360407273477464560059950",
                "299737128615308502303574486359510361107",
                "148937117441381250789413794765951085606",
                "205506643386813737057265818880476970048",
                "134194810168832491204861138624300740150",
                "207482589178634671728460361366420047026",
                "41436698121550732415279570041749315499",
                "42436720750185892150638375103052262123",
                "290970400686745614680221728456956666175",
                "146295717028242816107688379898672423682",
                "111345357503182803401706002474820798000",
                "220860421981172316416446224372767145666",
                "197344017226082569354938740162133585901",
                "229660388257637542114516303095005986948",
                "268719822863079468624355453740892394049",
                "291466541560554875947735619300101679959",
                "161057289250618644451303433742889545551",
                "89074023091915549543826338971415478909",
                "160604466926139390913377214098615634033",
                "216296717291027022187601054240732519699",
                "53575009638378958682979971250973339045",
                "230586742124244064375682282054055598264",
                "221940381205213177965703369056459375785",
                "71119403839906814845500375051070251077",
                "56783343267060749830092991624749023348",
                "132632930187802596266088958045433861337",
                "116386085334280408397347695925614650475",
                "326283484828456258169673444085302872686",
                "133257453655892691705224115459431247380",
                "155946825753681479898631002626523953188",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "306273529433222221767286023984005892615",
                "288766958151174890396816573432539750116",
                "144460014680024064098128597562089884329",
                "238265138449614882917031770642631172788",
                "212474943142325180456832225672504859187",
                "167601101723282702964252311167332407326",
                "197634264863610822184869366834867265372",
                "177829179645364522219264399365849291722",
                "34778487631864919234531691844333676455",
                "70008864998148024797489056969298357670",
                "130877618309552054655085046762880738365",
                "64092706098824465247902332928701310537",
                "179167051002366667906495851360813022482",
                "253123229156174981468895022426963512422",
                "86862968053077996792471444323358780262",
                "62516156071092233047913114640903394937",
                "77474658719946435913471638497383522746",
                "195458058840500149954044656574781929748",
                "21587322573763435817882915826831352267",
                "44358582437923178989968033583865298455",
                "322002867071095034339757313262792768249",
                "283685738356298626082118368358735995156",
                "110293963401158761015264170359783169655",
                "41377975188038156351114768285276270430",
                "154557368633679819092161218177283595268",
                "323817633129753684207411120903111992756",
                "235210578528355456442197930014175848242",
                "289984276971002911872502923721231387442",
                "276942377525740689189139958260980646366",
                "168519407196604968095286926756002292531",
                "84090409525744985937483195218300700679",
                "158568234711063124166074066325981735543",
                "216756880136486961263180959362346955192",
                "174060222761690503454773590420952454335",
                "287909538597929931411422770946448081954",
                "245243949478862613103002208203991519395",
                "158522483984990421082076197248671626963",
                "82330061858667298371752294965196516439",
                "148161032824237214109533324854697774881",
                "16214363166693571385268401805882031074",
                "21799490716209885857303917468340595719",
                "271711503088644257779839577227670431391",
                "267052580192556647491980918344645920706",
                "140825832764169026358022823286770922336",
                "251428451189483527359361079278288885631",
                "42435931099502832840370366725452581597",
                "290955986066598336956392815026471003543",
                "19703457061718847970436333741031126199",
                "88337029895665274132372261710685264680",
                "130095035386851337007390881996573066071",
                "287412914681143841877587306504359420585",
                "244181805418469789213468463555557931937",
                "150624947814562817450797401392947986677",
                "175445922845650582757549749658419699402",
                "262112071263848097626022377997888691571",
                "261783722048211820668395342631478448762",
                "291170704908375528435976235948557476745",
                "15309005639573264914926426145787136354",
                "270816673494096024230405045321347946980",
                "297843623206252352903772258705586445663",
                "177520125647534398583310270022167559858",
                "121921084004373215714529714899550059947",
                "306294295556213652803948382033015354666",
                "301254215325870535060589975877471998861",
                "57888978012345571347799511524569339052",
                "187360283322672047639561449116561272310",
                "220912286193454853654700415893103371901",
                "304054031022443585942533771682041695266",
                "272361086151037913903762092446053240485",
                "61491863897127188681834547248126747996",
                "292460942148964907962171684484368499555",
                "132775218231469050876479128663717250989",
                "24004236572920104455862446185723921134",
                "44874202183248769861000730469148246549",
                "42344492535372258399153932835806295324",
                "180616320238342782342662357972868434827",
                "309006705370762437071494439871204192284",
                "32710153917131377989596100654030028992",
                "150232304279874057533774551131317812380",
                "277831662901601532454409137828181949420",
                "3491413566427875172654024113857871805",
                "71324702336097453240959360259295779922",
                "127866819734642328661656522126149718308",
                "326966883032542556432249567540724833496",
                "89511873926623335263999573100723926690",
                "221183968460982269185785677610738567301",
                "176237006500147131840631360339019503066",
                "27973484188416518338133276629320937560",
                "121278573415771269496184784471433513579",
                "152627140488761556160193987917828024143",
                "161036374187101883269845317343535123181",
                "139607018827447822251719023785482996525",
                "157768929306259800509197523002874192682",
                "143282306645111810799882251715716778458",
                "70115864973298915006471177256848223994",
                "158557703835540091118251049717945787558",
                "169256862644025330393658290117461830742",
                "25373881075407749476480088930403715187",
                "523071826698465475317971091104268911",
                "314010547348996576309842771735673794915",
                "222692384012827046003971744946195344933",
                "338843546713286731317368308499681296682",
                "219179626264277668550992331693975643639",
                "326397148928029599072913115873076494660",
                "93697612640946661334197709508760681380",
                "198000772599703211136092037029554091713",
                "26888337464875654165002301143382696109",
                "223143132264427779626665587828776177418",
                "259864522674635380442334930315051099209",
                "59436873889084752088801075451776375922",
                "331337221643514795902857454273553907895",
                "856732828269506271761806529158204429",
                "293734834302151842686396898023541676278",
                "135319535642592327246526059410648254428",
                "289693962873150282312775780413956641640",
                "163532185301540358938753428185972502496",
                "25233551007722559904140539247148208510",
                "231058563231721662694569560972311998064",
                "271573934646724828094146992641113818975",
                "309577707359511779465084176526020537125",
                "258140464192466805968071215805385743557",
                "279642191176083238432119396082307961834",
                "298103691561135980008313521487900284320",
                "31548923001345455202330187072412758621",
                "100230946958264071091497513940359643641",
                "101005804318428862546680331935446700467",
                "131475888261919329533319706448250527966",
                "234862136512088374015552224789708482724",
                "253961904441439619668010440020265165668",
                "339122626712570919888865807116650583655",
                "9032422548336317031997117498278601899",
                "257276384606439033598066326473475921886",
                "14258887937779151346206965055548425533",
                "195922992482157963874296212771367290773",
                "214203399832703328958242956848182144338",
                "276766117505240377869311396020294215304",
                "194622404770984403536062776420714986952",
                "290148635194138460534459888268906612634",
                "190287105762754826502931092219627298018",
                "249065233828557140884432975908282917396",
                "132203124321272762735553720786676817727",
                "13736088524660236058688545574629135688",
                "270971938814345093452525140154883172098",
                "183820249771928658125806638694925005863",
                "111077152958419210099784199578775524153",
                "27226890846404287587571520169112748543",
                "300038503571949882991797608486133450520",
                "285472373007094436668379689703330035948",
                "69273865203152275700990592896065401105",
                "194318235018529418441563842806774949916",
                "79425679339583790525262704499856838613",
                "221263014389355763272876060899555713015",
                "73298872892076732671707394761065687887",
                "201205770108702794107781939889639640685",
                "273085821459031852447758108662854132382",
                "201654667735599795706615004700575563273",
                "191767889421887697435025042090595378252",
                "33399412346214654400774011735322393875",
                "281724698234710809419660321588195337297",
                "102014430551683464513728875806385245603",
                "67666485688219784692624642907747316921",
                "155335755070888131802030661294064773979",
                "281298730352721709413026933389106551582",
                "285400838698823245032447152032103518465",
                "139878630843010236150399082525238913178",
                "22494306269313635239280551955810589651",
                "32784952864003587966780029896595913257",
                "173050118013403152978411869317412120547",
                "280466951219580611722488891560572666973",
                "201339695879149824620654688838328361036",
                "261862968816575572040740002158556126267",
                "264890239937489057310585551348569042433",
                "204400173455055409154758033259186389653",
                "327491963269209471841526259538876758164",
                "292153529916032927483786696537922075582",
                "188524784899766323303444736400758983686",
                "117711588370501048125235994211046719922",
                "201524174681507191398284246328575619060",
                "80997042802974071845042030735242241587",
                "300362855498632447567322776494968613882",
                "263433337876269461929583879261436151888",
                "16772062066108821793439748994097905701",
                "238578749751519808157164362932468191340",
                "80984159215002713883448841032177254967",
                "51226402509058821088698586787936149446",
                "226905348272335481955390622103879401119",
                "269380174265526318849980198340894395656",
                "320712124397856844609978281463081627590",
                "237192447717617268141778991166831330522",
                "293104504944930979047771286204480383811",
                "84700405504085599069904546357481241056",
                "287429793440073231337806435614126961648",
                "44986879585098297133641390494749278679",
                "193820273817070962449918732558290723612",
                "166155185871420833170713962824870882184",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "121978776069401937566850197627877902156",
                "337853390832035830108456756384471290703",
                "261859142770935135420224072780147403663",
                "280948628457392715784847144165306324947",
                "190066882906170106497227332662125618201",
                "6747551755805501840468661737778033818",
                "107948202556643035090535923202924412575",
                "142293140256703367351597529793827451826",
                "317331420514748421079691381959801429428",
                "229920242717948299949588987139907244520",
                "149852499348727802712969362607876319220",
                "130846193256911854983257938813984767381",
                "237307589694423706982310838819779557171",
                "305727239633290336412212097588099727988",
                "193192216436160008087645575470064185057",
                "58683943656716027898581942064337587779",
                "1327723666724733725632837261351950921",
                "313837942812011481893046961447314346968",
                "85804047829966260516769854613085123189",
                "280213771040872574735175796352493662475",
                "60198944378049991731249332195077205681",
                "86357608859037890897789894356187102015",
                "301492181835124453843557463584070438449",
                "92162648377030439716292756306232028739",
                "79309873097907500864189533784128877332",
                "245476404639912593036241338166250923639",
                "156923803733073068378823463854345732171",
                "143725115794241978225767591581408649570",
                "263413446486534902621546663055815935767",
                "75381490107495433413132041841570776873",
                "205987802237690276485201724419480258503",
                "304740450039607838930804088170111481732",
                "289657360619460561399732807702914608229",
                "136633905803472406575736928403617117216",
                "153774833678475026807353304079434042588",
                "110204912459167060595401321349295376216",
                "175048267134510114856674170215345374678",
                "321856766648291178320143511408477698132",
                "47500036045049373333750515544638976743",
                "16113341711804366911572211601417452430",
                "49776119932508473587283597452353038583",
                "116876758158364080296367603712085985752",
                "183380293638710244688726383791297263536",
                "101811187472006072610517051385514900308",
                "303244329963426009193003811134164633465",
                "302850670165501302204024520402774257363",
                "124310705007620652583640721956843742043",
                "217825697479181334243122680779636363957",
                "309440846459364870320019254098375454476",
                "319358209231901613352608485430065707885",
                "223969823859646281231369708500690751473",
                "173995212534959832470700027074719147798",
                "277984820395200152745504578658802393527",
                "25005758663924286288143907977240415808",
                "204469071445364187047875872044481359804",
                "26097367452800855406102343852217030044",
                "76566956556112932498223632275977994873",
                "183293719701287402248104508387843367141",
                "174688769637634279335637145530982231997",
                "136201345388976662945689018545230466091",
                "168351296916260545769966743690493751729",
                "141023863225872913888974684574571529484",
                "160381480427257023962866131871029293526",
                "150542682817753877238378403127489561695",
                "280008311413405435911488257816030519349",
                "283455328826836825702957813933670278623",
                "39500983642184522944371131514358164487",
                "253062527063027213860315660089288658356",
                "252643347846423964037254386008635528466",
                "18831160401882628403398956975235844013",
                "146506745687780231528040643291063758866",
                "323025144401666988304317595057647515315",
                "244296344365863305274950182450460862679",
                "300896723687962386510116162260486620800",
                "224107679516375654102305136644922333266",
                "238972861758409636728978421372810597248",
                "32396738926204540231367808804069861865",
                "26159772899452630309403132524372163444",
                "127259997507495203145394921212171900116",
                "336977027189347454195769059409967783211",
                "208259926691620596998468391595688591203",
                "3849918354457611313860514302919493881",
                "282405175069550951156979250144777020564",
                "324041546822439188752546431225986920870",
                "85777319213300666929500720795633337298",
                "167313371756515061084696931428520449287",
                "253766373880531723886500740158676141529",
                "114028335249192413452452096324244393797",
                "322651789593103270341679168729854247869",
                "146279239106971721188463500019419520410",
                "45403087746014380939749767017716275719",
                "78689951642005252345301819629358524825",
                "182396673266558740536942212198259073685",
                "261188713713507973883670850082689594260",
                "93131150016944150359972640978728209545",
                "26405904275503442029017863369242628511",
                "154646728204053997174231580052128808230",
                "235831845165787169661856587448681957203",
                "63155455333917931510505963352217619920",
                "72047635916649686191267767099373604223",
                "2776155223853073483498309919901741417",
                "247134258350840831244644183640306667733",
                "42612489791082798816393377187543641142",
                "21903302237188136367306561406987817489",
                "199533585947828673856698719533815919110",
                "19574423222752373989245570065009785649",
                "185928918686658258683892896196619029614",
                "80515253171196784698283901205750656659",
                "179980744173641422755704829341978048531",
                "36677997364466336375430363110914171089",
                "190221768085921296638250684231122114693",
                "245577685978969790190149981287737315552",
                "234386688111573766556257312570411941293",
                "6085186410030097726365770076345264982",
                "33712137954685847883152308517201727633",
                "61866876945509150600141477039333682438",
                "67002271559616962157345836500038809114",
                "210037663090284516400437962829784715779",
                "291248811437813182062570414467112153811",
                "82050633852970670641785335822997479364",
                "168764007650146618717143694645139145090",
                "147485171091054314611621362588204809476",
                "50849620689151848314391183096255040017",
                "238108398270738783204272378705194163521",
                "249220028230325103064938283263524380405",
                "316583906904818994665855967016819198670",
                "126732055602818857109614689575218047614",
                "204632019693018363493552788615630045266",
                "98189029552946617664126411620003979953",
                "202921516916949858736189504715733471001",
                "165082388724715471103839664986356046339",
                "302914446710638288731607571567932611412",
                "142332412843741046955646662159412702259",
                "11331583237414348243864400777477434718",
                "73086928347544897421968481564556045438",
                "295514704565740204975192553223598958198",
                "202952574925148482501877237556137552398",
                "318184603021509850445915683965009547887",
                "163079610180315896116507084420978025572",
                "69880877663973903435825667147174734681",
                "291710880160506982319604654616206830904",
                "235681616014702017620261670775325363234",
                "27343324438977095714739157749178451190",
                "331943234719880771799831729223911641845",
                "31368917311002952608752646550251313488",
                "41370205883300021301544713084976769945",
                "291283763713888057066478327137199683493",
                "66118547078108967829582153805691693929",
                "165987565481803314873613980988208959373",
                "114800646083006560056986231944699595009",
                "37739810672060638475899430760576922965",
                "159483015004769439930947442601522383221",
                "93293909810169771979058694153676993901",
                "312164072559967461971745991378813520946",
                "329261892947529828347190853929481552837",
                "86911273491528984836284032903443503937",
                "299907044796451450318711410531179878551",
                "330439488039802754861677529761267563941",
                "186830974214870300932886235745791076785",
                "202452996243476327009310153062375956765",
                "287245677203758473398668853221409753235",
                "50229627008958130854414711753702519131",
                "334258868922047075446303082135794262646",
                "273257845273657884413951816467707452607",
                "164373691634215766651140588808605919821",
                "148572537951555201618310649456536609408",
                "140911170635841092819810367215661375584",
                "299030966043518837415651400300706609516",
                "162485725459358053193507769872873231821"
            ]
        },
        "id": "CVE-2025-52484-14b40ec2",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "120239796599343901893606065927841511024",
            "length": 903.0
        },
        "id": "CVE-2025-52484-17638746",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHSU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "106536261409402400596361571361989969819",
            "length": 45120.0
        },
        "id": "CVE-2025-52484-17abb46b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_7"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "41276831133719133145729248404794441766",
            "length": 1428.0
        },
        "id": "CVE-2025-52484-17c85da0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "323397532488525556018571145407070161702",
            "length": 525.0
        },
        "id": "CVE-2025-52484-17e0e1fb",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DivInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "302753446666128064211183061914639138354",
            "length": 1257.0
        },
        "id": "CVE-2025-52484-182b234a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGEU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "83854653992147635095150891385627888199",
                "200416447397600965530172840423192255495",
                "200505122183070962160421121025275634925",
                "289727588448485190028375565372546822823",
                "64469013389912114903310384411169579413",
                "311585250817768665378516401762388750127",
                "118186568986583715165475776255223654636",
                "304444416814181400523920759139820536851",
                "322344691684265996574898446052509616491",
                "312187937039881722387711209038486532563",
                "256346700394350970382855193927159126168",
                "271837136099819749907775623301313455966",
                "224399734365854990960668972304885898406",
                "264888075214063290806379349787427768190",
                "323301457067189929441030159724174652041",
                "123799262257502267032954261503093208877",
                "254250918880442044713488811018366796135",
                "21912005249298863112204496296667976335",
                "114285605302059657863915835005279528643",
                "114573541301862664893494219651548931533",
                "331577441324678034512724720573978150128",
                "47968809854879850502928292470717492340",
                "196715624189983500059154464204680430625",
                "194553467479698713627358375445467467394",
                "31306527070200454279263244894522844468",
                "322970083401946957861256995231488560284",
                "245711268425802515205985702417917105410",
                "173113205692788302405283996878924330887",
                "208869453333053072334483146349817263154",
                "121724542993614871242755823525754736948",
                "155947778114787912648671873169671211001",
                "7216578196012080767917380966957280956",
                "193388633407767379488024567028765519169",
                "166385154790538705159238530471955483221",
                "179695200920730252880292551556609153838",
                "322389588042510776116577323602386360061",
                "137998311997421737073057371699865664923",
                "142558223068711859150325542147229097991",
                "316038276464734249117389152733369929730",
                "42198854614949538417561126645406170611",
                "163705639546908587783656012436888085389",
                "185856782940064325678033783133416023169",
                "151040102372862503589219308668737080623",
                "326914933271192393111227825192232729278",
                "226135930530966770768758848842074983657",
                "108655568576472116672386506309673869537",
                "322961744020814528892106909224777463278",
                "226623353901135767805928652305719952522",
                "231767760923651363453432395412913688638",
                "294449535916063493680694820535812008885",
                "99749266768031536128968123102380720804",
                "17136646078717433086470582733408707309",
                "246420742028810642336327538515892838427",
                "333754992363006506542076820367042619847",
                "34812399384619107131320484392566216904",
                "99993367284420982786251388998367526559",
                "159142877966906297436937447425693990037",
                "89390075582661749529926289954450033112",
                "263670494149129589153406446912814635005",
                "106884941960562192218121636074375485710",
                "127429065616653960284012891321200329630",
                "60495617056775051258338999917778916104",
                "339467300159284362329417232082863462073",
                "149030497749982842105469184131026209448",
                "180963373677208470038567894948864305640",
                "338441489500347489225114113091308095424",
                "100393641588791272091805673871879181879",
                "300247940020113486227491602277031506107",
                "316775119616482647539515540091820454450",
                "43098181254454749305932190223230801348",
                "54352261299768705039466902023388953330",
                "184763369576211305824960393977919999158",
                "103500677457539324434732165221420021864",
                "151055738197970984909760371084802997042",
                "270642557109111284787682726498937313487",
                "79408709278255166598891892248276225120",
                "260905792550188235570548005544237663445",
                "248944880728249202305400100089065976420",
                "149650038639148253090918703934132319703",
                "277004589068675798010617481685690935627",
                "42114107146834747647676753745700874615",
                "178012807369512796862505289193398586395",
                "122301335856002665597186317016288917254",
                "187448421010291316281870718522182613265",
                "10860331677217322837765090401775957649",
                "717421295439819823016201117158399488",
                "326643533970584422091745718770861259315",
                "32017932716201035464899105957927079755",
                "209554050067150789776329944355232434321",
                "145292811972684244628784977961198507658",
                "204038653186789976418579201599702809832",
                "262234519154148122794618179900017295677",
                "33121174686903008747097878308535482805",
                "244927211689109100843606700762047424125",
                "230625580737046506691284780095646717009",
                "236404028919126902383582935263471762119",
                "162098948801237591590052868434183856133",
                "169720947631017013194939400099157321683",
                "1758446779737165262397624126917641700",
                "3299531999363085935104614734836008531",
                "176023305374940201591218527111271928374",
                "252859974014453548590273509592128894247",
                "132169991978584302274581987425559947726",
                "17446099015263185530038896208888639081",
                "98364298741442985471457639321886299438",
                "303405435065334706157607186657414331499",
                "71881832286133378250769066345397073946",
                "63021768267321355947420198715700816806",
                "172789802634971189086305402714663821524",
                "71165757203183490552199569667125323048",
                "102885562676407370563391591424845106791",
                "46133116544710473315514334280788883809",
                "213892935749138846855015089394176436422",
                "274747291043781674197426649139479002166",
                "276125003323467390396130915523892878243",
                "231260223550726982171145104113976890071",
                "290348964698292393169752289777589192732",
                "121173565215379386758075715350391469525",
                "47719109925200218974930643346464430279",
                "307325728268211705959486359291378749899",
                "6057968336828429856683867979828070023",
                "265788147690319888800760450551787741100",
                "112479441453140396833543791038276680634",
                "122232126388404686933554788246377158698",
                "214833507623285766386928245668419956459",
                "185398346314536466827254220826070397133",
                "166940480860575592405480690686701002962",
                "176174358824938994114399922524489552890",
                "312417740689750641812195832037560200800",
                "285173860027585640818491243760464829965",
                "298804325798820059617608346846620339142",
                "158982102382397404098874995518930391496",
                "15077386057931316243258966132228428445",
                "313167291478897298379462731667785110262",
                "305744647198133520759791327088154027745",
                "84601730272405975755003617532504127191",
                "47005048161961820833673224350697845564",
                "191586763508048196882006891258381636001",
                "155135411667459780023241804886036501931",
                "179777004082301216546949867654509877582",
                "46036145481838074050318529961345738175",
                "145195931219756563642606068519140175264",
                "329450346815015962360606180655110018486",
                "172034253884721727615880610955916026510",
                "41613530484188902180699549580491729145",
                "90371921072470444034529409801160475058",
                "9085085282063894643374054503041432668",
                "326591117618465228225699238468398425230",
                "218837918643410461431129417859743862638",
                "196626357983131698330121323684590980361",
                "104182581683013566145870807954112329347",
                "29132657985840307203859132079469744839",
                "64561060962322170602951654149164148210",
                "320890689519419660504987486242761629159",
                "43752975800993818113871469950044440251",
                "169977294891421575243949270009308927142",
                "218754771224736812800036579591729414568",
                "101825261839202124258054973603740658622",
                "256615156019606278825932746451435211993",
                "246095369818393361571143731267684667855",
                "314794693451095130138447134184619431647",
                "157618655550608024617078843042842482551",
                "15616333602937046652826356949045228704",
                "1135221766645833047545808846721058723",
                "331849157937110849662146222789678143952",
                "15614424662408746215304549559745772995",
                "229723643892089437566273026999651507678",
                "24464516719361659183835164327014897222",
                "265764262613209449606054195245412311448",
                "318605819332922596781778821160187759862",
                "195686492994993012096002176974537362599",
                "60193464504599182193899706457062404301",
                "62730680166864243490969914155469882826",
                "137061856066766358834896307407469675792",
                "30137041260515661715356186310798615331",
                "302079257186390086623781923406087995529",
                "265360490328825092730236761010513314",
                "289780946826930967417319768624064672696",
                "106155335175646490700891026358194809310",
                "120935323205931249494157561170943361831",
                "298166198520879316450585295562392784920",
                "290857756162980304296877903042301945201",
                "319912887260554762878613474150073828658",
                "193460291659485604327885998088205376943",
                "48013667779109673863780795686801020242",
                "321498669008067409365886967527627558477",
                "147834495176503022670032392840501367466",
                "337079030523763238654572978029086465830",
                "10130069196646811883486211246418294563",
                "20844447393598693540957357978764500594",
                "76346170608673408611794607886303207067",
                "183153832175229782798566108932891052928",
                "33765009418582810583403141948841983146",
                "204275475010593505069556517636111797588",
                "264351629131336363591017002547364886767",
                "191250088609763696498087537555926460384",
                "172914657240347592924589602644564468432",
                "237144331277087934346070523051562849959",
                "116743375402754644585850769876008145613",
                "230545902292313492363825679806511815092",
                "246240038128388822801317590466328017811",
                "243585845310875643421365342264495071384",
                "101798929433791106509564906730352842908",
                "129120265018305279156658959582797031856",
                "58228804656130281675541390164163008992",
                "269889617857884301167092870407709629536",
                "21170968166736659188645419587184915792",
                "304284785180427148597073052992186957751",
                "32039136576098677710484949594529664443",
                "213425905838446709527721874799847558122",
                "93022246916936841959749265554043450079",
                "73249847867320780221233659524683279039",
                "332673655622014602174044822328172592173",
                "101137368693974613538958249883242378229",
                "165669887180600958954024481256541116218",
                "240495312713025085706025426944832025108",
                "80147637600710456044677678525434276695",
                "53608024373321651887913864740978989922",
                "132767907404267944066496007682415791837",
                "111329408783180283355241921654891771487",
                "110671983206870263986824242568236813799",
                "56437503753208303422551016159875554328",
                "94890317513064500411988708976992286601",
                "17833432151600442072775656266036808989",
                "127374053059820725785825038397007505506",
                "265301769797675427502233059103021753535",
                "171913036407055831086202425729005357221",
                "200602861970428053320356445621561185653",
                "176589843466455159888686251647898205165",
                "122569858756222588891010346608709091830",
                "275161199467018928298391551094733033087",
                "140196384254068198010635558240974300757",
                "166787275772207414088192352267103575251",
                "237311634542370772476939021308009230653",
                "244641758356139435122721695026583270575",
                "60425866012221932186001226876644481418",
                "164603408726310120041584277924624833447",
                "196853969419629697564772619871857462222",
                "206369420752438408312519308447158303322",
                "214577781735269188508230053001823085583",
                "295715664153817143596922573751053851383",
                "233600674837192980231339147340309644092",
                "87333045329441073335871254277714006484",
                "41695852064830425758168852829957903505",
                "225758465143291126117599202074179580765",
                "16699434475769607347716185539071036440",
                "55586665275469395685017826534970433590",
                "253382225966758709494381092993585928553",
                "171350830409200034260310189299017121556",
                "20444590113700845239470977886445228949",
                "172200414028844544347579628460904019878",
                "31731258072563849141938892813581383860",
                "75202156277299699411118956093655321353",
                "340184062734851409654806291765073687979",
                "180758457833496495776289142624133624087",
                "208202326666944593317093627555803118286",
                "225208943276918374091678990987017855671",
                "82592212523289801050682994402218101861",
                "34690385642409604326907720125383031088",
                "242640096582281615738477471004670173972",
                "144263413539957867409138111033000699780",
                "291274015767039173195252259721970797365",
                "302839160862140097048817635233194460927",
                "77514652502176359919783782228725292042",
                "322259105966684593688846907811629500994",
                "246767247837235977930830672070408828354",
                "231449942639785579788863507768410385302",
                "91500077258038597750865492677720043387",
                "32269981219071689471433694560658593049",
                "27062679830464376098506505913493810584",
                "138614157143047553991720862963717721122",
                "31989665949697114732640233759637163900",
                "85141518258071734212056272145494715698",
                "65990232582078634774759647053156867875",
                "275134631594215674535886662499259994485",
                "262472876151614132024984483914458783469",
                "304808334461591944107001576669125355409",
                "49728279426107703411764500236305349041",
                "208875914940501412605388961116435795024",
                "14017043577734528243382630065524056785",
                "260371794709139376894327439268827193349",
                "142485710982422660644307403833841338914",
                "324756933511657216917710067801365959529",
                "116480023758337783048739998785933305233",
                "82109899990376779553087680023021133545",
                "182973426660099291801458957900222530763",
                "271366539220163082328670071704402640571",
                "92899282384587346632588503153876968938",
                "36617307485291217239890031217413980412",
                "238769861888873190966532126703676455666",
                "24860000898324328947288697842544970044",
                "16213623772573362524144316434315331947",
                "267539441984640688101511558660371162686",
                "322688272066407244566171660754878148588",
                "326545658531122211912348488705174105042",
                "283945270877989625107054545168812185595",
                "51271270725448125708936980620063935856",
                "166073549370385380767163112198211227005",
                "50309202251436805050692803564465495039",
                "193873916804581217713879099054163936260",
                "226856136075337794637370840073351591256",
                "316504303994943381359711370494859222015",
                "184960873480235837728213513254248024775",
                "16810309331324385710837030759880426269",
                "41570613278251429795645234544328014171",
                "22802436025029562556034145513517056800",
                "57675744996751187575417665751246548271",
                "78957467628205739338747281583219616745",
                "310371018601139938413025615685948087420",
                "68521535059499882865565821658244504067",
                "145951427797235351688341296842482329315",
                "253837057836016374674419095754152064971",
                "43950755022257583104598634103427598817",
                "77759196599950469283629409647087104605",
                "225540546803422907054915137116836840477",
                "176580485673521995877005558657177165070",
                "303109489741340624573383288319755787485",
                "170120420619565592942278154365114896967",
                "258970544890451766687497977480843794831",
                "52385381610219968817718255456130852231",
                "295081704497780047134056445291480892518",
                "7006913540361697887832478706004043216",
                "232647428045695544291176437622206410010",
                "290173870707333880431412045066311577570",
                "234306788673335263074103037747713863445",
                "200210428306708088424686200466558533194",
                "190550764187460949413944613651950046252",
                "226188488418362027716659521722206310562",
                "51298905257408505068172894670822821575",
                "198980408706863819565934444386882233429",
                "187898664549673795640748612695402772277",
                "102220583565463578811194859110869603968",
                "245836311496332215905099970050098057614",
                "156300196757342705809908835746518516244",
                "112042851218715548781114912722363895921",
                "333354457724153492450520162749983241367",
                "156317521659137128877316748579317874202",
                "78208586865122529444271674605958627590",
                "301303436334679831291142373348846089831",
                "273940473258203248412032595726608478799",
                "297808390773851931517835264159720207782",
                "115339028505468319915440933734045956337",
                "98596088479136569043990105642797347632",
                "274508134471286934520737243718134905545",
                "40615206767320210892407985314753536250",
                "165048257329605685212341376939476250951",
                "274538682308254921910595232932659170653",
                "284794653144834961737764959571841077716",
                "188288344575207929797141312286840112758",
                "11285728257528181919680332895014598189",
                "232526688539486393335621082081352423780",
                "310735230461379520413397708378845500287",
                "38120457826698929131510667564311319124",
                "32830724175683039538301079226190635115",
                "45827371983681631371185048739923764042",
                "118419699564052020759192660877954383638",
                "77297989273349617484061859849051999097",
                "267304591886458603029576274002186336134",
                "241249946299286170183356961593601760611",
                "213396446383213629277219997474686081981",
                "3682232101570245369917948283797243905",
                "178752381267720608378045220736347931789",
                "155147717362769959616296711713329790057",
                "292977881969415228830160063129647444593",
                "110049134666452007838313941677775414117",
                "244429692369692842395114990444293523572",
                "84167971539644823009236634755902623607",
                "143572632935732258382066184494302606483",
                "323885860940563826620089415822631457000",
                "19159518226970434755527113271871538662",
                "26897646950983939746605345160010431474",
                "219238931958536301955118438593662565564",
                "76764597296751119914159861502484708603",
                "192075666973590177135930828325318245644",
                "173690769977362410558843911545324085039",
                "196950109334584164460778538066976902418",
                "2533229004874650871431246815764832803",
                "252939435944110792990840155317316821741",
                "309646569800322315076202647487558246731",
                "77229688290575018388481258197638828603",
                "164939321504180103309355989476255959393",
                "313725271635478737208053982319923390342",
                "159952246126426316793617166827439331514",
                "81165063806310753263019684712782119885",
                "237130941650089574019721644740433986246",
                "49658027408330627771826737866620262708",
                "145598441131259093731231539962429458333",
                "275913490235759927305977277365223934069",
                "206861808914478194299890629973289040466",
                "310288866727423616911240851965747869109",
                "330363168966889263776934402449794167806",
                "254198006025327724687514478651506523976",
                "282100566609275661826662661039856524151",
                "293379465737306360814668579486024596611",
                "320338609189034945630659469894762373936",
                "328123971907627956793772507503750673914",
                "316013129392286410338914930244240237500",
                "324173289771592481075408737145573185416",
                "176885544188992765935789621546130841218",
                "328485501248184222125625571036241352359",
                "130187300094685684463034886881105193413",
                "5370103770755114862902128728797754351",
                "61336067096484634200373653118018360849",
                "333505027501199088574586615719983551735",
                "261629805385543432707308929487417891569",
                "282101704914283985201157015950713535114",
                "232094750697113335447098532431220476474",
                "329368223391701201421449869357805280197",
                "112981021068302469837938147494398412074",
                "2405157404396270582374662682372389489",
                "157038317708246228711881582468579168868",
                "125903694830251776493328870171679133699",
                "220288305278343812854382326758595921242",
                "316306315759789664103438282213646812954",
                "82871733809590498311434949334810008332",
                "56603612817208786143266364646304152155",
                "194623021345348748380504249476869116096",
                "137537120637883243733226233798278073906",
                "233655386347465144244550297281967149977",
                "332030754183063694842965701648022842544",
                "266656781288627054902572349274403664427",
                "115833464844635361003706883896266504771",
                "45133740161706883463561327418674264466",
                "217931391247075583948851269057204085248",
                "124763660129758511609820902690099537027",
                "245130606108100906362364361727614415027",
                "157457793270843364471281936077365852441",
                "189145127392053568879992318146230372209",
                "214650920549102065445643024861323657234",
                "207534473837493008521548572520407773583",
                "29451123889809339248795632530138302496",
                "5494666180189558781550148945547835401",
                "255567982464503936663154363494829488906",
                "281464959542790336116898995159600160139",
                "38959105797109495155258266208709879475",
                "20133589274516177061268824260132074479",
                "332733044300061616226528528222696828225",
                "162636616259403005264593217682893859285",
                "75635791395786101833707281068068154439",
                "221864359588930020969231216243117389932",
                "255280013199937305895007399700258369246",
                "161762403980317093363044258185805026469",
                "38694145021932114478523922060598114013",
                "237542921118033996773491355206717923586",
                "217685247609105131755382974743493777093",
                "152155833475632556880025176984010099056",
                "99446184037011395221849766183427353999",
                "76189350064945688129935555821138565474",
                "61125036131566435072751388717570559186",
                "195612859375541351586140028374891643244",
                "87209996073433668867318287899121500739",
                "197438760306845485927401752078694057720",
                "52541074161919489288554049785610397839",
                "266444746283551210496606920488654522480",
                "8001653607242662989051776322981932157",
                "8947346731218645332389561838381060182",
                "293010992097618789249128866825960519067",
                "198819141915660219688337739129164119028",
                "75221838546994374098889311796139084622",
                "275955811972256632989958120959320825966",
                "202118264382579360587704430593712344722",
                "255209312773207071980187239020015009163",
                "248935995324917307626752450126505286149",
                "225359576362662632833029470291899117894",
                "136379073013267370019212475404746245420",
                "23606772238154474825879420430484072607",
                "260968181193694753211276366398518302649",
                "258313088301727114840314928604108818264",
                "292432517872258087992448579553804459743",
                "35838852915167671110256144402440175922",
                "257543485045164635672551880649103991174",
                "34357333395702727017304280501873033385",
                "228817153358748743750619373760911525426",
                "120310500675511370920872490710851666952",
                "280431834076860656004068563018006930283",
                "319939847398418409857718966136125092818",
                "138077499621708429416138470916408253997",
                "906109253548338455002479406582244010",
                "95733457506695776744931230609548430296",
                "315688840006987300615422101514359084478",
                "319873742227142818379167384301464951532",
                "159046890944269427374105186568419887538",
                "336555528929062223028889418612048114870",
                "135026210111180284769733111402647354751",
                "38984032799773984752865891203292694865",
                "270736549629112826754788438388356627679",
                "273920016509816010511789939913649144347",
                "10945105073858523278301771279043630009",
                "261587498580184261377409783087200717737",
                "274884657383098905377034744059586589183",
                "195229846740557594008332123526185388894",
                "295100383845017125306528091015131715005",
                "194749960525300665769038301441527465111",
                "154596911322524557228517612322075773886",
                "114952280337708209633996458382585988601",
                "338152445551568917522481501674238879802",
                "231271737844479670083746296072238623350",
                "233076082162696700206904912529889961130",
                "232404451369302951441833151514876665361",
                "156538530907950764801405901058685243354",
                "110885223410392989618866988377316181240",
                "329382688185060873840535920143797371001",
                "304537930596529560505481804441243963845",
                "199157451665632350116291084606463785662",
                "34589626594904706114703175446308975360",
                "109177384403822863756833000104976562831",
                "147579171218466927699502668364552567717",
                "143035475187414110720801811687625582791",
                "121822278442492836071025157550288191635",
                "115167162396114536114339168858070326595",
                "77966931617839748497043518443938760968",
                "331004741015952247923727031231742749599",
                "188947924555121865010197985512923824561",
                "276747844209064546593041737859559396557",
                "98298026532484500042897343962979556478",
                "122447995152686720068004972565703571242",
                "264883407489408387245691498411089862134",
                "5159677279449646709199288881575385353",
                "193016427771216315599631996553950165965",
                "300507295208504582450464536092344237933",
                "37575868354618007256849360506383153726",
                "230654031896231009849013144395353427167",
                "154467306585157460837564440599467908410",
                "9638670147027673198574661381747673892",
                "47186692900093292071664475742792371884",
                "214246445295864427726595706462643587389",
                "15051550547204393000234115805956671511",
                "121099723552040222680189081818289547706",
                "256779506370719528537728420334193111605",
                "108254261282115880620887380686116022899",
                "20494867953992388073851583010849033235",
                "215407702791109327745848267099807964680",
                "62725463352193479443678445113561800716",
                "99147749563819941380701078595514303311",
                "36597604807277680030904553266030797478",
                "335791629797645065816612358751831859402",
                "302607992160202836675325509067248294433",
                "326676510339251142597351853834426021345",
                "20396710948578005023657140355062168745",
                "207984871748610466341327798069113338165",
                "36667914011839660404155231387369121236",
                "116602595701924199625094990864769157196",
                "4694319650471231669761994509333021564",
                "331350346129514309473235218720562887531",
                "277778941848446731391584021830696099737",
                "9668524172880864332245123463041748540",
                "55510237896884420957209324855577188768",
                "219614130398013070306819309657893911007",
                "302822770130443169129318550693768871366",
                "245525800855093371779213700933747586538",
                "138646067051974068285830868322312709663",
                "136518979692355444280106504900915042314",
                "135027212820653704916205443678976801349",
                "116325886160715155932928486929218616099",
                "316050097081836117051341316630172361134",
                "278950419628665657080712885973583907888",
                "56770168694353058751338385158148531173",
                "80855159696243028404091257988429930085",
                "138500259993348282851900855789884825720",
                "194805718003724238571695513709267704681",
                "33459240813514398691419535722348001780",
                "30499090373423969560803367903341617973",
                "227274712147848918700074023765234557253",
                "310677000367720382428255364988264107672",
                "315902054352940486522942628841200584996",
                "205621756668799563138044947503365731308",
                "194077367093528914532959732091403571119",
                "82682530117037250209731985867469521947",
                "159078330253613792961319126606310384049",
                "311162233180899443204990577907939178023",
                "266409083776561652788539072873789711572",
                "105136952211248171988187526714332377080",
                "312193062691745049679046795279588519633",
                "48187265059456880159678327315668412340",
                "21279360051248605772657585397966361036",
                "256708831228757470643621886022249307818",
                "215512265731108598307738010526065905539",
                "287394332867558879203090436223568224227",
                "43573541376585170155033331312575161878",
                "158768761075851549687170400843737348267",
                "129674425967546580775226155439862376127",
                "206230903767243973530395818575618201780",
                "82560183884143441357510629484807624602",
                "234136450440228427521940197410242742723",
                "79284947349954611621210066296146038697",
                "214201428333107523971580077640002160707",
                "183934778703973603995647175478199864849",
                "113139583443359323256148687538122051274",
                "127116785822702279556636995701909281727",
                "63776437289636972393038906940439106711",
                "126210191807145142618939415514989043840",
                "258708211094257269232736103423761091703",
                "139650776880688249198110039999633007208",
                "325030638915801634404742473936558536443",
                "114398680651040023540232316178303021221",
                "79684944690474261181988212184867355639",
                "315248652657935192635902217217212534876",
                "231460679050023841206381864509182691681",
                "18739052896341120152195250824090568905",
                "97514195444649744982325251622727886048",
                "22350989304868747014083129264088053397",
                "279211104120098305146534791595489638902",
                "169621471863244538269671538360067648640",
                "101231576686309229150343071278505635599",
                "292344099236957664360433335684614392061",
                "34025611134219194392532400825608118284",
                "50389119164276448272832909328059019687",
                "101693142927043954265087914234737636076",
                "71236921910254168772209864492566115613",
                "307847554208208466045786763995551297413",
                "13856558583470985169958205806245480895",
                "90821882034565650401788258172858458603",
                "134335140973385744197780150011247869722",
                "219834438510073754068273234392998356076",
                "264070008659603951544502436074229033690",
                "190034303853684014552274753393463979264",
                "83352857996605573801638524736771114522",
                "218111403904467915926220558033635775486",
                "193265321443195705541311764671732960791",
                "108026375897060054512188107612635021845",
                "113376928917394425118239051786061913901",
                "84557168646855668768868671210458067472",
                "208381016281495717502497126965219016894",
                "150177820018301238333718190582741877544",
                "170737729846356690845873492810165880858",
                "329314791026503269311731093971582772408",
                "241639135120089294774730603548231447119",
                "105042426771689983550417343632218284225",
                "184836113194397776227225619740093150363",
                "281206528425094175488085953205428145081",
                "131645673903655614558426907422425811138",
                "36458432550838290979693624599468099308",
                "158725379202976320087416757554113449956",
                "271812071688480494689309894508637917853",
                "28001529513918065247327041773488094130",
                "133426898707352459939363503918448507607",
                "217052301716019334157865863056143970100",
                "328912829878440284959902735754971928568",
                "306593840392661391732827942604842530736",
                "295742632339727809833627544891319575320",
                "139802020874076228787644548864283151545",
                "243677536046361311384713820979479472969",
                "211299278130238255584128291330229726003",
                "323828476482918007376532053100540173105",
                "338620663611691289458841101244733807584",
                "211317386011978924140480772107481349217",
                "112284823315811767322587651028902337632",
                "98399728092649077371954371299720676390",
                "219552238076167026212490590231274320531",
                "90320203571027633231391308824006093497",
                "89837603344388759169118040106130872784",
                "331194669359186584444742285902421887607",
                "173677108496275133738893333393542332089",
                "130319391268873956343638135342669492551",
                "121873424426775904761332320327488024734",
                "165307922727453395805024541622907051014",
                "309595218836841706642666315865433451408",
                "324344592147346567255346488381304233763",
                "321921527133969857493328662152764037114",
                "47508034353339109325515526025099526982",
                "105829426981370550494631228598786451538",
                "307585199248561966697909179689098327353",
                "323951868571670074557235262804985509358",
                "319783706034054166036128792580930298500",
                "223235447289057081193858092763259677239",
                "110365241629155284669003934342603877044",
                "131956193487296215973511838781573626150",
                "298705397356877457371602752702730561263",
                "117134961760983073516964251452043574241",
                "287636674402332388851613130494928357792",
                "55153908573740802964903048328989877005",
                "301045414098080201754782223125561217030",
                "83538113543041348312601955382298158034",
                "152170861781428694176463904859203278649",
                "24839342505350961261719208496442138214",
                "260010717686366528145739304621954891744",
                "128131233940626201455928985423211808289",
                "51569315685217526253302672446416117699",
                "196720548556297010340639075940047198327",
                "77968548532589977330982104231881111921",
                "156497143405186985248296659356784239552",
                "96624253779905147802367786264708694957",
                "242766321565856243521125970757509222014",
                "188145130856392767366968864205263494638",
                "60034405713903383631261655985744155627",
                "94006776994675711181142245189624230050",
                "257802456957573330101606490183483453695",
                "287654278797986827640752525236004222562",
                "62991924047478126106026221052729313189",
                "70651499212486827153857669659049730968",
                "317969955000905339838822291020443464757",
                "21999993503699942305239563872802786474",
                "227597599066266914890617820622447271727",
                "206767856698555002143591201031702285070",
                "43458901184128892694065386109614519631",
                "211886469142047063545067814843852445753",
                "219972066993017601076279222820507523299",
                "322444853134770684779722510588251898403",
                "28284233030985165945846331015748064308",
                "138780052087439233660411814325291500027",
                "339355007179956134054578680117230124951",
                "20257707941904524351686822315566953966",
                "34021497045916940718846469597741432827",
                "311921918280036147557310980490891254981",
                "135134833630748552024980498088055126046",
                "190062726453097237089035432820949529875",
                "165289762308882993831852840976823961845",
                "286819890754897942939526391697264796916",
                "170517738065012694800907810001942359108",
                "190788928670223418706697738389393935177",
                "309461890211574434784352146811299681763",
                "252018389071118307006281753931585661137",
                "178957717425110093603440516720708469926",
                "77292201331544845078272980696067426518",
                "215421510203941075991397741223741872497",
                "273362591587951442936321130674998756091",
                "164159688468545947797574087631477496839",
                "105094752884522659675436404208888271176",
                "128974867982520044097907861061703094789",
                "90815228687640276392002780873767490025",
                "309897129875825467403819863553298089510",
                "41721668823157901719163346264288289051",
                "210185210796630268804559870012889438319",
                "132637800857310855320075298579162503576",
                "196892489581272620587990532496422921217",
                "59782860062010757718393956161433931534",
                "326680921613582706855681311088109161820",
                "106401389570595908920494197549317576402",
                "199313391089586445985897610346344730910",
                "108765744688185217071053403251833094857",
                "68460079305049268113394814183060582035",
                "158554750899971416098903675915608607872",
                "170081446327767277959791643548107988565",
                "290455745740509552980267361233122715741",
                "91523274950431004425671619834891518479",
                "218739640599155365832435050613357444283",
                "275725194348724500913351915370018236217",
                "243095829628007401894689482546233545248",
                "257662009906684656868278849850603806350",
                "291236118163484035404995075421708780945",
                "167878789218074012903159662769783726333",
                "122661490900968635659024606847929425547",
                "17957541862032288008713752419061549885",
                "245441804786917598761562362018156801672",
                "155352570412174438496346944740406067810",
                "290299166610366275381281882050737828001",
                "317955114728040524192537150852653108784",
                "18283393012094196429482248219423205376",
                "135935330240607209272182976028508874337",
                "155734055041902575186016442053926483403",
                "45547164523950569299965209946738541361",
                "99591367117919145768766463005372447103",
                "20894551626278368517067927324194119977",
                "44432100051450886093655316427536096546",
                "255747659677231698245052479931727385861",
                "406731765512954155880989832975852011",
                "231863092788272319421186454827875119611",
                "188590986097414926085002678964317977315",
                "250334212112887665311861381904878859807",
                "309100598690307411719288058360626702389",
                "197030573900163792742712303434332902144",
                "269309605796063169663474101946021104872",
                "51644184685533380692599744160976496930",
                "261885925121794412443819213912281321753",
                "321072677080754496272121588895805866452",
                "332466386035686468758469296779541686564",
                "216399629060092543754846976537644289402",
                "143504717104542099271805135409571443149",
                "212437239560210607502780223814020938015",
                "127871020369707273300756284137478199351",
                "121302449393779093141469926257379611051",
                "11566308932647009908145502184836815307",
                "23705614488501037090933651171720235958",
                "221419596000392224274165932988859638289",
                "80357262764450621355813020568513210535",
                "336650966336375802517816808701184580909",
                "111036498184647660618634727945957637560",
                "224550817314551524427466580186014612342",
                "277406422949103151439445608092259930929",
                "16614023689733561313896542395270097081",
                "155743440055731711078244879428513149311",
                "89037981630137393650348890220800736915",
                "2331602024939904265248024555399707194",
                "126312468585525926705413376271503812930",
                "80288617528484766369160949357351133164",
                "160442640335293959867646329461594707152",
                "285912412858882836907791201228295707684",
                "70421255093174423057716630110611792895",
                "337007140439312744085038461037317831751",
                "316705090804293294731965937720692508431",
                "250097677933494345973891044968977044425",
                "197535105427285818958992657157623870295",
                "285575471656131188428682749124999795960",
                "81243027209738828907940736231040588096",
                "275795674855810694674890672802348058385",
                "307863124993906505417616922066856290390",
                "257398499195454982876522949800926528868",
                "85479706154504385099565055523659016190",
                "304816525308738996766017633035299401544",
                "131422240153901961622801999874186365137",
                "244862944997455676408536610515257164232",
                "4445079580707226172175403689274400484",
                "109429487686466326835137615087866479327",
                "46864286702670454818015803658178337430",
                "107609205212640031984909103453688129949",
                "177198021929967427049757567153979989502",
                "73594638475807521941371669243264005063",
                "165374645483258583201643749179075604614",
                "302219204331329134871344095394428218550",
                "180234147140433129575493273976464080082",
                "67190411329145924473430866259737124517",
                "4549676169161706357469852788221326592",
                "280071240574836045160411309858032547788",
                "109050738621968261818230628937744802040",
                "185737334726873686676888836009995048338",
                "270331543755520837260189684430722668981",
                "241879500098855779768004976948438505027",
                "285521599787622553381488459087573291332",
                "62160152585681688987053378783440046723",
                "182756081016452381353975230448460601573",
                "264125298698450723949112159167815009490",
                "336843595850127034851536593404023562240",
                "94490429719861321173589902592894809635",
                "145450389945226520263346264520846784190",
                "52094576957427067275652643388437955542",
                "119042152891255004362626426465474296695",
                "70043206499599003406110194159004989715",
                "64267910813591937874661651996046169118",
                "139893116856765995159548962529265430252",
                "54693881074868518803409168450859577897",
                "28982610984683106244784632992419022880",
                "239369083335362774771820943934444006308",
                "20884539572671572632796106430150614808",
                "59331153870900576421086810712670593006",
                "234104085576061062667461081899195126249",
                "153002261019630909618961503792324379165",
                "76884210125132259732301827421693022276",
                "209896391877529916008129064795766408266",
                "22117575966348753753547662606719024028",
                "120693642057027388353494096573097254228",
                "264492196414985889343526864858910205690",
                "339532399869176162261471059961718935953",
                "316792492487470448025696421444119521030",
                "33371834197942299802978119135729007522",
                "219623416549881445386885106567036700729",
                "141128688757096089411696196679318623786",
                "238205580020390721520061899329090822486",
                "214504362185261442075317979156786583519",
                "260495879103091853868449854665166149512",
                "320908091628904393857763209660777951033",
                "36337977320995612947492663937664455024",
                "218173390742882688512203806813116193952",
                "78108372547838115887417254087089802038",
                "144683678097086823940761535182000390800",
                "67578766433757900385867521012451647947",
                "131987490000249190594152184788398339029",
                "153882047530147157865696968850757375526",
                "114352577087415394490603455789072205590",
                "268927477452118530979738453721647319454",
                "189848884789191046802429206101061481545",
                "129372555042213371956856408100700023534",
                "259813349843655524642529206786353099827",
                "112149719544072843370451708388543098025",
                "233870317336431676779342619482350738935",
                "126600937386682025378559828559357439259",
                "259732262084182657230003660600579501165",
                "130523329700729444841383208679069444269",
                "325154029175475564467908472953577868063",
                "157387119074415768812889901865617712589",
                "195328134806694497867891580498826036963",
                "123180248739433464646476827545417755294",
                "312132733393289923412321363539224406911",
                "104501489836271801114914266980556848247",
                "307593958403372267354147595293789658285",
                "35489602064579754117886733840628657103",
                "33667695348139571969167434626921212662",
                "97515384727838495465140695373672052615",
                "203063940709442466398706711445372991772",
                "229275342228348319351302415361237756414",
                "150029511737123344017623787863879360399",
                "10400299026099751398724955572043562882",
                "18418156103050648156870537303961095446",
                "28150744747308706645107091231305781667",
                "272908344836891332227133887079040212204",
                "287168398395217194771889467109620123856",
                "191334292376752345837711059926902590765",
                "206012254269275567574184828670189173043",
                "278301719339755254053848038090494274053",
                "31759401805755047512929156053596784374",
                "211652674337545103586971165206514705431",
                "112538405907105700621618785283757464524",
                "300313569444088020750683773052797790307",
                "46682851817752848119460779547501583092",
                "9982299217105533070945573081081788610",
                "157998699169309650311959868865856851298",
                "43012698110756365088540265767232329453",
                "335217559543688812037554329161131627104",
                "39511961418475745471032606277885370849",
                "246377090252370504410244697954145134455",
                "90763241948376702152456647964809649078",
                "319957974913497890861777751334726366370",
                "140195700775954552743641415797588955024",
                "84360853800316042595027917804316635048",
                "4933230423664667482524600849350660083",
                "296032491275385087401817058671326744478",
                "103297897333174999212642838422777891511",
                "127103121262150300271129113232305369554",
                "36456739795852263163194505126054541743",
                "133044548989418222752903400982614752972",
                "104765584278411609872854249621088754567",
                "265787469818356409737964610606152678025",
                "338637687215348381044684161769410055986",
                "338923853764297205914385327443759251027",
                "208467944632766033760454714037647543578",
                "270260923875720865947758923293212423185",
                "179582773288417348098566369531897729070",
                "132799361147863385412135377723116559252",
                "276415081968097909256006977293293966855",
                "66643704047162694755242124149382504293",
                "69363839966859884451804172844844598902",
                "298234009327216975635212793937188607794",
                "255415015893186561609602793517292572316",
                "157147181533423492637964196421292377669",
                "188633223061301924242038777823041083918",
                "275702381549973528557319959364503431992",
                "4406981923766205263210845253253417419",
                "199646072641589765140515916993906705907",
                "313391947927817966587778060167900654348",
                "268026476512187010642027031273930306855",
                "221136392454183496723521700693039122109",
                "265089547199719788092163908687333934646",
                "319392161490268876642643188141508230180",
                "76624268563663542631379095200713410774",
                "176178756159314605740802622343559012366",
                "295096465921744309011466879911642082230",
                "314845681742107410473299646720748007190",
                "150335612202745996825936666235171221545",
                "330968974081199466777233716395423484558",
                "158908966454004591072854481589563127876",
                "69304664956286584490016694955413244568",
                "11421259768450017266933646892045806057",
                "237358156784014455049854242335947541845",
                "30521250504912271545777663138459279394",
                "231113644472044407557397265909981723558",
                "281139786864477622079497202213958035816",
                "195376596165206219458884454483469070738",
                "273123931493039479234966805944690710299",
                "230644581204252220652379611174966378415",
                "91547035512564592196293773684189018687",
                "85114303262008007809615025957741881544",
                "41465964936141157161387708770239531650",
                "90951848838425098893434204085757547116",
                "185668945015352442328984479224614581709",
                "278224509101679720341577252471096243441",
                "196245694198943045685732690484231397391",
                "188346365026954236334491567659598858677",
                "304140678520526934654694431038861217298",
                "83895032059522854856410951039438189000",
                "326497950600737193760103136962762605782",
                "236034085244264808472409111118541548137",
                "150186212035887685701567413885196548544",
                "161967262554028458490344877407208967986",
                "323470295360602704268832785116139940826",
                "13172481822840143253764343407413013725",
                "230969902630923126963038529055926447779",
                "31752614712152368781595512376808440181",
                "278285169988221516720548244419595272679",
                "320478088150088287724500435710286956990",
                "207583129611882902025706343402734859020",
                "288470897862356891343997005460771826172",
                "310121646004371400583651101796174489545",
                "334142852522259896859965071379090267441",
                "205187728002186389671493246318778946694",
                "119570730016862971682921595290862055261",
                "190961705725213462070903617956242653932",
                "191054642345022010170057357794066268405",
                "51956186193741179873037607598887808652",
                "17306382090360440768015938096339485740",
                "162951028264341533871018953067403299825",
                "329992678795828050920955157328392682566",
                "154383498280491830211137278084152948680",
                "8810675587050734222548468827670578186",
                "155141090923392958173178609480904164394",
                "314920296578471979679071686278080321769",
                "229714077426138740031729647189034099533",
                "35515091940049524230647429757581276775",
                "237822184309946240367887484376269474803",
                "240306801857012213310027886028044615075",
                "184430301018891694405216015860642803447",
                "21309015117506650111879815121194853396",
                "277876700131008809342920255509601532176",
                "93364330793719285605629260339902161926",
                "27189604737209197891684629060123542329",
                "198745655286621190307424233468070322670",
                "221970654421799084823703773905097455398",
                "170697783577278175227437335643978454671",
                "247379833584255951872668576011949819211",
                "328887624833295512677949467959812287275",
                "236896564438431163594029769306467199495",
                "261553240953729675962644086412682260645",
                "159420334768991052359231534995079021381",
                "15354927648770770926242425849021496666",
                "177220080175132539380051255920527980272",
                "110296457951459860878330563184532284727",
                "81723510720146092453275842816469842968",
                "75858761572745685250399190115061413694",
                "66882117993290116978480250991200644480",
                "152636663921792017686275052593484054182",
                "90724940126484233502189771574827405329",
                "179952719442357853215050175183610428409",
                "181618539151581270439292475713287903763",
                "174562518399902973760513031552739988573",
                "69222293156664025227990976001765315525",
                "41595393651830627980851141554814036637",
                "153558351247071862911982721459075330816",
                "248860921064865464168678120461535569036",
                "115257465863448972335904991529590200501",
                "52880818243954587546727045128464576301",
                "138352514872873120094770160199111843259",
                "265745279492354928597374819870313019281",
                "221476473987124624219007148054614044929",
                "115227553594990775494658673824305747211",
                "71526096281153484314371450856277154708",
                "219847898436069956452568344736366121703",
                "14915059452509039737241764593227186039",
                "122409358279154486412274820800405562901",
                "74261640563095394272708700715252225949",
                "92356631285932756031985610487387828803",
                "236887011768291872334031450641884228362",
                "59277627854029122948932406805522804059",
                "117709499464651544974182786542264808260",
                "44708821024475136682381303854555942564",
                "308097722248040578540919290207161759188",
                "22737009822115581485804788393716488829",
                "181852871216102087617171195979078398740",
                "280482098504818040747411148348416808054",
                "235086583913356114904080175433661315104",
                "129312153331411134660185386211299733024",
                "165256734032170133717569346463131846956",
                "236844163887781426711609775725623711604",
                "179100530150108074366753180889003997086",
                "179610631348599733929911671375764389274",
                "66362743349598314960291706708967143800",
                "39565487615852232633358912055888703887",
                "221830943841378889623349430321737910724",
                "126366672992986326505014209397575320638",
                "190507455379657156400907727997231389562",
                "311142041659287529813922327341264637530",
                "185840352631073281377936054455428608956",
                "144796017314932087381246707867473056651",
                "78078554416373080992987185173262883720",
                "211254036205000454418977218289902614506",
                "289588321074058883831018211547928741827",
                "329266034087031243909034770233081519099",
                "330901414272139384322391796635575801801",
                "208905523727165217976571739223051436094",
                "165116316055592476612665340931732937320",
                "150204302816351562604080268393050967727",
                "231169839976508188121643546766706213042",
                "3525580796639741627467237575842429182",
                "174805010949463196289494170380608121111",
                "167891608805173086817324394737360579449",
                "227925916333796570212823652085470266912",
                "222956454309652970135527770459881632295",
                "134629981037466064773226919359809127107",
                "289508867629023677156573067512403052383",
                "211230268748184764316598417944731438204",
                "239696087618364650842480281836565767460",
                "196890460921357805254364374587012366279",
                "296618353529028661378409477605165850671",
                "157812293800362448740214553129799781520",
                "228732295535102193853794950762209564767",
                "317103471319205567059054320850395922247",
                "260335436901780140911684944337190837524",
                "228263985564701356078516605388531529571",
                "228704605264774814731604084214670531822",
                "11312484806634820533600819920265620020",
                "190939422060757510443995414794970926391",
                "46400373237489807984803849681132021338",
                "103656467852502887878372617998794610911",
                "22647868581116205749694108149929079808",
                "243827688507101769064741356221267749686",
                "311496317234609099096861724970563998198",
                "180413058791681345980505291072721846762",
                "156926335854025432994325304431332366143",
                "155702448268882058561226813329803591147",
                "305454189707346105604281881338007328974",
                "289693031879357820479979361449230789660",
                "269742229172771532028897235977141900185",
                "86796709753207855820275534953500252436",
                "312223148585239800830891392184720777909",
                "299126862171011226712861863104998159741",
                "80973753451023125223254081781368330040",
                "103063916316250366141000939005115309242",
                "225192715101896494339623051503659217082",
                "118666263074880085733225394405976617717",
                "290263366854551924844222651817170132903",
                "208078354026489926126349232874171498970",
                "333672841045788226524863000718820577566",
                "182454492989620749790906797214692804656",
                "146623322928496765473855268480783248972",
                "101070243652207398528489773969708703807",
                "294304353645838005501667753262623225547",
                "329976763628772419715331496412733389521",
                "294622667760823939107761665809427906817",
                "202853778214908714275749731836123292010",
                "200848542780787399734299526132075395301",
                "5298905381514044341233860566535361425",
                "144922003288269533816982796532104242582",
                "299046966662113115033890970045814022917",
                "317189982872902409079507049929875105194",
                "126927924534101213157274964530749814659",
                "153808000352163334879661046936075744944",
                "166256478875697746101798159183295289570",
                "206271112450552415018102653756061267494",
                "110078407442528079757909599026323302539",
                "109268716345381872184156559592735347299",
                "9853445447467014125652275866914574674",
                "37617285648408301310102066947442759850",
                "315196644577282122421963128149316030500",
                "90488620925644560151716667105592110878",
                "261586913140644361373108202289830211757",
                "245158049371990860273958592563239525722",
                "114644471277341908354294773750841449471",
                "4194072429023639417962672076369573460",
                "236103940616694295158936422722019745823",
                "182388471830912305786113348043089763235",
                "183647369608262690816386610433165147844",
                "15412806313482741181870331228620287325",
                "299238301426817753725772987709251174363",
                "335931408056998845470597556222288385249",
                "171879323052887375221861048918550445438",
                "186647387613101397966356358202887350461",
                "278441348398628068042073127759845574397",
                "170835133944663332700008467548093141056",
                "212001403247934951804984291303105198921",
                "62489298535939220035299253891102304112",
                "242820532949645612749076759139174717840",
                "83645781903521428186767716354785934512",
                "310249303399624079589638930704230019557",
                "78194376580118594834918246383507495080",
                "111157581078111005079030433138270364018",
                "305416882100879783362702798811054803413",
                "61102970063886285970849930437529791726",
                "139178832896939456894460667180350431221",
                "161098779219284817862357773040099033846",
                "72850246042459064281591753854972165429",
                "310713910785547670418258593214946444813",
                "88197870524284322036794417256991582034",
                "332445332787528646659871520851686706958",
                "128880593374308629479759304093359620227",
                "80519060725580946213145641843224969517",
                "9856454084202705010377284909639248504",
                "199075331500424556274708276613336755111",
                "196262204223184798031273742710982778394",
                "190235040806465442049305290476336790139",
                "212908401644122251721452697531959775120",
                "339317752216451982325804297627140792423",
                "321979457101378817754722419724504602651",
                "110364626013122227529497512098544493198",
                "75361205322404327230808195648493596435",
                "148320728890355237284141901615932694481",
                "8020504737175640980049579589501481401",
                "16448116293785129038747100648697765826",
                "264620024626649675002393578367489090342",
                "246159247790011485680619293391756016761",
                "315650646226280427962948777716639315873",
                "271690831314967156007513995355968241146",
                "331200786268680707351554008473515143024",
                "311971222166394080565118591422423098408",
                "62167852790215751192524632045989413813",
                "10255536390039647439829134756397339124",
                "68233491445358926017587232210327530568",
                "39846969970490111798075544452761841389",
                "7549298867321351336365539797173673296",
                "270391578281398953962897801585779573427",
                "275127508327380193085782864971264791193",
                "31693478752403466669282048696805524468",
                "124681797773453518270246048795250801159",
                "202167935574833013767692653112910721992",
                "62483836400308003977986953068270733061",
                "328382406256447938605686805879842215803",
                "304963680112328601772028620056714629669",
                "163783888039786288403315323096790413304",
                "227666274322563812232916127437905463571",
                "263529371747965096601259416939273546967",
                "81052614955227552208453448227118572801",
                "263118523100339743587519660641372017503",
                "268682147738661257248356137561084538625",
                "46939358042493865311034841850940882806",
                "284859447558120417447054105580651963337",
                "118890301946202360558185855300960956323",
                "142180031994956682221360196806929696100",
                "11234027494866025463945685273294814743",
                "289492494352808196257171057325829968898",
                "197305351235822138624536805213081156792",
                "59573817198073608508370531058617880317",
                "281104009688010960597179813873497640092",
                "92196007011636760828628579056465786192",
                "254644917744961409365405424500831839864",
                "247398835702419938658951505159833879874",
                "79565994808841845970016724426541543881",
                "10748500878172985667355513063303514167",
                "751594670416144624144365676145895150",
                "268818986206981154958751065655320867454",
                "194620215195262994064937522117088987275",
                "18312762721315831405135634780493057955",
                "115956008159248694786988963921115801791",
                "267059749398911150472595531125358543021",
                "66912828260919478772452612288262604873",
                "120364041209688511245782174669636445309",
                "78545346718306115826476948648473684612",
                "244583051816481299489282762330101429301",
                "60265869130098614131933198840188497343",
                "182760804980805367237072038408604855153",
                "170290383483874779758807501750467979618",
                "142610093679475190618395581433001264",
                "226413454558642051256750172916725902402",
                "26043607172662428118115992796424596683",
                "295899742488574002197823754169777150560",
                "5875426520953745521440704636243783693",
                "207383335160268366486849867775744453417",
                "170831868141398240698687322218659538924",
                "315171371095851946179022440453312404055",
                "190172734520845725675356143805846992831",
                "284877872671911802282894183747587655653",
                "283062806774945223768443005642355120219",
                "281673778925329008919271883789386394371",
                "165602354002825173962839879605263040369",
                "164776993963303432367815405195278734383",
                "9861196404468773540882813812984600204",
                "13314077741957723962446006192589302601",
                "148965388690697820725166778172275275420",
                "174368824050518684395356585952128449597",
                "301503271179264115588417430081382569677",
                "219460613254394364433230534082432160349",
                "87522515029505458154220849132768785799",
                "56106525425186900878348751759783914265",
                "201981630091397948174262406333274661531",
                "234491567781368469460953929180714955590",
                "185366620749655704407753618667924623356",
                "108628695359063875974437478600766408842",
                "31689747700576963985688460693193135951",
                "262330502121831732022067608619822948978",
                "24927425496148128476174006240053034245",
                "291367475095870691550195236693509637605",
                "6228817839152120269242458288467824682",
                "330120754987906947012946375761834874165",
                "262360145771647984385817906664620616700",
                "324934117918476915147895580646891379266",
                "125384598088535793380387006381974481467",
                "29514446096146353786043546930832411264",
                "53601225239918623381141572932838025324",
                "133433273555802439424843594518273988944",
                "3946906738480045078779285694340775761",
                "13029264468915058952781255964019873674",
                "211890203360035323865883420399561612915",
                "70380245597275471069796112671437358095",
                "304113845238712096490480339579868015943",
                "339111533837793632128037960043718623920",
                "97650305551076054456493281812931118407",
                "280114938006073507947112027786587478210",
                "53739148954847111785806806247691602444",
                "136551351440345928481161993781363488867",
                "299697832060401147778863617095766484864",
                "22784167395037324552684011456594603366",
                "307283373234503081157923594919679992140",
                "116740587822704722409671165160664899671",
                "258860245997701827333211211881205161353",
                "112298422906537030563464930906232682726",
                "22272718592025676402251694469309406397",
                "273121924668678137126658570896513984478",
                "317681956157263880033589058137048563656",
                "127137240822146499268106600640751285956",
                "185923744241776377203594027140975854664",
                "195104725617155019911193750393478208273",
                "232014058462534970480503481866702657084",
                "255859584460842612603102393002345069817",
                "166066271512858440299805751599519397339",
                "174686469558585630855700986094809589620",
                "218197602186526614586018415027049279763",
                "240057392005754212612644019947094559997",
                "169042371412497743267093872904384454062",
                "197860759736710733555691081737598018650",
                "106574190872652762087522072897916213960",
                "149006327750117485173061924978282260884",
                "334960709305033666994481497673036367333",
                "126942438687532284686988204510479324514",
                "303053695983583513900801106983785036733",
                "302559490474636121559704251155195183305",
                "265024894211298889756605939426821910799",
                "221089060046726301941860483492644830945",
                "184945740457151066687216256706472715643",
                "243727924454826300667502829557002003659",
                "154648166501565061151466584176912935538",
                "277201421560666543719733305473898065124",
                "325573699737432503602360152851408228536",
                "288095350273843599547148323766770754054",
                "78289584249720386471542202168163877663",
                "255031466408710882262622173384106057776",
                "226146002965045525168635993044030485823",
                "215222062735515164319102292279722474771",
                "154157693929801616906157051949748408182",
                "73758651930240375999770278629384956850",
                "263794172393005643010183610103359458427",
                "335671067797704899307454062814407141625",
                "315918574482568764029582803403316182829",
                "67301462439996400210143130850204370462",
                "102024169520421411684479410348610577499",
                "77579874746296066084609629448272630379",
                "100249637166098959832017981930391353855",
                "212321270900282837875982981500691636417",
                "295737172705330272588388067434689123877",
                "335512311346518738536315920399719108328",
                "192109611999233620687754104411206803864",
                "16018283544254384033284739234739617269",
                "338361456681470840701809412555342760477",
                "259204191865553204539426086327110408058",
                "148962857616845888939365463105173633933",
                "67168167833127314619479762309488976332",
                "197132318519736002036031960130560550794",
                "302241571367812353343278735971384697074",
                "137300761186970709486943619228471089311",
                "197719716920124674425501677298545062056",
                "3601865969415030510387051383967511383",
                "326253487463619547545034230867253895329",
                "196422687870035438984591247069075865292",
                "233256817415067619894197263581711709181",
                "26642932470699754651260586310290554254",
                "272988877446675588679284334797246052046",
                "53231948857293436651467532363590732186",
                "72067131901347475748965325319145170288",
                "220164222375465469406084676445915904833",
                "303371953850303292955143179878995079622",
                "245980685500423729267739739049299674070",
                "62257743469427552200889146032987234817",
                "123396908342060804823866782571487995983",
                "192582673490497395137917349634192554464",
                "179281942335362647658551738799653318058",
                "60235945926962299685117523694555829086",
                "268715084382883828018833387566344368958",
                "76928966922738120524486009586357263083",
                "255628813994263146886987244644603018421",
                "329100913379298722421476649223867828040",
                "182458982211081632565075320288673862162",
                "24750146015801791006231042806103639082",
                "25981945580087837940307425683225498563",
                "330409319797256656887483033502779486168",
                "255735933716573816752031073887975110705",
                "328681125480755931953714842976736392117",
                "316242446648199533800937879315713155963",
                "111505955434619057850466353717467085464",
                "37635196151560664885996508471326357031",
                "281366664603000086395736230816171437233",
                "128150152948952723304584157813227452318",
                "79624848646874274467594626856719051727",
                "169162493717563031638626747931836136947",
                "188601543052607080076183751298981532365",
                "27570661405453792448216151666022018019",
                "191650311813143823529417606145559889897",
                "253348929186077179418641925509235738",
                "67075025022141693801841842077665088880",
                "182146787709518577071167126470627548251",
                "48152347133430117567104081581228837523",
                "23472994950561383477764904050471064607",
                "39461723941302304299298385877787929408",
                "139765658693292443332338406241297083695",
                "59720130009943781859131120676336835036",
                "296979971116314612057176696998574967713",
                "281027164242975963384425817031368895231",
                "234199109403248774642090563171551731297",
                "228483520817974680595290855241875283817",
                "4271196254425797362387137432352502707",
                "164378403571342994084446249427572600369",
                "8068442937708773869984357752253261796",
                "160578076855045373060228502400465811545",
                "273958322672557711203681787526078820078",
                "172642864873041718473036449828230956377",
                "120499983169401615536819458139777280196",
                "303641332514197695483035934136293863842",
                "172963193004714837945690091800885124967",
                "2303400160536811228496079509169520956",
                "310528030354871015780389742305743031398",
                "279697940638855218602285897856436226994",
                "255865929987907052166521353997144499330",
                "182198731720549051829101397589061679155",
                "267320921917716324681795498686505535064",
                "63804819046842690710318242789976394058",
                "106816002433373172193558030126434714975",
                "249889377997615420949212497141646680835",
                "72334490683919128565914261896170015301",
                "102253761215050604721843984147160075417",
                "105028178527402921883309982693511582881",
                "275727429722443860208876880160290368839",
                "312122597674441728765035768653414827534",
                "258858560849959973007790126735305662401",
                "177679745684285181587869837159909416237",
                "12892391912610483149885430469392879055",
                "159043032720405077978206360865277138023",
                "283175323800275824256376714261248996815",
                "7223237501068613010041265724119271251",
                "55922576103301931535414270249281831381",
                "187217300155747850191484930153840681369",
                "200829615155921078799965293895217342702",
                "292710962330844012433448120477688101046",
                "237603288944151973529878603857266926200",
                "325916394156036404470029715475899982699",
                "98185223669467927664232157588286093184",
                "335275198447316213752866117252661557132",
                "93298147222532979084280398077842895383",
                "6772979298921610351340486197628970092",
                "87066838607509701098219888812640363566",
                "277598498024754706629282476327006721027",
                "44939328224280445261828302104782660166",
                "283927280926356844612747903403930348646",
                "263021100308613050113458352495754364070",
                "190016538727438320143335538221133174064",
                "96346523490674699106469168004953562165",
                "192661621829476645148272421435536924205",
                "257749005568672965755729328430268356416",
                "187630789807420037645133211226771524089",
                "206189008207392375782050027338566718480",
                "272741598444473082765810660535485775861",
                "329579008207386778685603704639279209446",
                "87117742156661804617978839902038022993",
                "50566274276015968889660020912559628063",
                "246532776290811288164098225173587813696",
                "119789726995245869544953388311087818587",
                "5874880673281086348664821907634808057",
                "275232449194125946016792635285752954921",
                "24589934512678364288661765897939021371",
                "228241821442983592249706163787624529968",
                "131960365365511718341962763102542736333",
                "7012681141342033292679524299555183350",
                "156860465570227531668121739870923262520",
                "62123409280159165616215595032873920656",
                "239573011525952661464591579593674923803",
                "37921120653477882034928684772134955781",
                "12744003955192549216420808434262908927",
                "242811912444671809427345710112341279497",
                "15349311434801553951403768657586682387",
                "187561691686792009135804105954491205488",
                "18336347710850905566604269022110558223",
                "54015870604960034644488650108300624903",
                "337167207612619299561243115264970599568",
                "135496714205302454573398154805971892186",
                "159282769165644259589549643693209402226",
                "293495672149092502918124870506691139882",
                "187756537782031940430679264609632149926",
                "36974217535876603891192530283085358153",
                "310575114851431800004776681826580121971",
                "97377484575672838166945533912709751861",
                "125352267140440522806874624812492103113",
                "189053995421255589369856368258109798657",
                "151891705924031185243503340325600683189",
                "283060566310123133785988994147276937806",
                "12696902315654301733092357887382530720",
                "231329849655275956489814085375124370795",
                "19053876175234957934292018307076226745",
                "16888195817133237999206541971241815979",
                "221780339744180735978051279121284484853",
                "164773617293561002882252701984168026192",
                "46852007884637365284624722111347410320",
                "152692846506083858322184894269295879869",
                "164725805454785170991394143932997523240",
                "130361727851987919586210982537874678940",
                "97254987929862328006319986852669896685",
                "336134887689333796011186270333312769316",
                "311040769496094002178875903120244348448",
                "251393196954007438544662577540435749400",
                "112549737801787286400402460888014560194",
                "182020750848950057380024579129971281191",
                "246962072496113235638051968743695322516",
                "181845610213297343269084545126193989283",
                "327310868212420978251969357188548960093",
                "15122469992477536680689066531951889207",
                "192177827936378829658168887851939501169",
                "80076028370812365562936186619017709271",
                "14837906920184019890847471183405692701",
                "39737152831278153988310542583183671478",
                "123694740876051362350378331139055012512",
                "236418708144054236834844958559418361828",
                "303992710888025678763908213183504004286",
                "301882020713591474203773657582075026198",
                "187256677317023803948607868161384893924",
                "174149895469529874162110083229751736841",
                "222533977167373364711734487870303933924",
                "205638353133746106625492382747302593318",
                "82017069824679970506761806761125758892",
                "113407718071572772410117931856860068549",
                "297942216746473987427807376716355930282",
                "278344057092112324912006025688271509463",
                "195245236586778692113001789316682044958",
                "52448729495694689980531334739207179074",
                "20566937582878986742826344604483356244",
                "182696877964603410123532031056146716408",
                "79159901920917851294953186302195068371",
                "218549769602619525786617969055626210024",
                "243231018701205209427199684236938002050",
                "204528692180816883476308940094060911339",
                "183416150814919158641040300445011884793",
                "88834948380696212016830847392041627306",
                "336109919473527745428829516642764924348",
                "306475246988222648530303195548676754000",
                "41122348476127512387221300354535613342",
                "16046150863844379967562427257558302105",
                "98165422430151051542856668530393948983",
                "167302321647122237467024558267148684729",
                "28780165547390245489101975466830740600",
                "109533533832822267037818379366170656441",
                "59469175601169510836376867522247509947",
                "117999481080208096061192679228620004367",
                "310957616595185411093154720051002616021",
                "177870151988735344710171981938771931078",
                "243612974291535249717553368571897919597",
                "228047726683000973927094109819149659634",
                "61554388829972594909022636596875878516",
                "118785087329094843267822300803418538769",
                "101158534657394092416292172951935903918",
                "158321534471011192190420086140810572672",
                "2841251866036309361278899898076242643",
                "105464215291509108319835034608179855916",
                "85120250056149927484405475674516623025",
                "151819025870485039689897854453988782853",
                "207373579879943713999654296200676132735",
                "335726646429412874607382047461370544824",
                "120759766471311570790759543631212144407",
                "198384566743141929556557428672976423636",
                "130560533585929119899376399919458860871",
                "212424652163128755485983758881260944079",
                "9448458354787219145513561639515399514",
                "152324634164618976815871362999585506502",
                "299745530139276683624715349347355394469",
                "131881627490799881091943554343272569949",
                "158009548902436522571870783942884151612",
                "91968786764164851209721362894882542605",
                "180778529457827780870946134420888601575",
                "254605753252495635018832862369508083940",
                "207545096982098631303311033250462269368",
                "14862982736487828981499445458026061887",
                "71082258914847190125380497633413624487",
                "244148067934343905663395548643782125703",
                "298522862726459072779481932824301435521",
                "36583637300714592045540419237002830322",
                "131445192080370469982909202340635279165",
                "230307201906658720654374617370965417010",
                "107517909003433424025536614194068893016",
                "174334288786762625344697058510201340753",
                "168241514440182803120453172783938324660",
                "302338186336994833915222225734200882009",
                "128786831597615732490302587986359782787",
                "84219985267484226276388516146971802826",
                "14331588504504890320316962168498503669",
                "155431252215005652897197585255615254459",
                "338600798446917394772955503202670303056",
                "119668240604527439450506150744088336638",
                "188536936174153526523794792164871755919",
                "329747190794381388377005229059771620056",
                "299802021251403791712990365520439367266",
                "262249219774722774995011797102245159456",
                "30746736944234081876536977379101040621",
                "121120829845036801324162990122416614819",
                "201646688666177901933970729778082554677",
                "165453831027686444982632820288892736344",
                "217286427299234191327497771433029298234",
                "39338264255422787288819295482929560929",
                "302803929482666057301786900428138532769",
                "161069755521428264281016650919311934744",
                "278700592193264307043564525995547462933",
                "84136814909828841754670812452303126402",
                "266913160341835602516607436383101504005",
                "176161894533322141602624967224233027098",
                "247287719500485491640968936669808178909",
                "210729243705110713249919641161692389623",
                "245214282312070670031148684549762405090",
                "55083198712670208743314116425913103294",
                "334538716373851343669564304786102144831",
                "180525828447152748588822288691402280847",
                "38321796393109035034166804483570776898",
                "103653022719029577082848892314632868612",
                "334534644961744305467724384220384810988",
                "94276626643627322349253595419989718948",
                "224530505639291713082451448595510725639",
                "185805441264951215171775497737011430674",
                "307845753117865632586070331050209940110",
                "59623225913621790286468616211653059455",
                "90354669069952756773707032770901082815",
                "119728787166572441666039357053252928388",
                "260311574488968152008419574401390623406",
                "137673066976446267210080165885215627507",
                "109077333178047161651686268672678028999",
                "297298972254723857440358375060995734421",
                "67448495621149119117755067061528430967",
                "209568242927973459627795890444592276967",
                "287396586286340372350037450731741718728",
                "167443433580236973737687381905110383019",
                "64755082727243194325873510495375269486",
                "188090495414229270704503551254784206844",
                "258963402456224690333916271850331557012",
                "225758850992565156922497853590686505790",
                "127903309211648856391407306349581049717",
                "115100290586256936154137307985220067800",
                "265847695698128043820667983978223972327",
                "224983896021990458267459441644956080140",
                "131192225527991185063353208683947586845",
                "174220349168605907059210909430291606265",
                "270553687231937761373558041587310113074",
                "284833267052330653427022981197463813095",
                "104388386932665418938301923228100588905",
                "272429165184000505989762485575501831538",
                "244479101410020774014570242464726445744",
                "103439400057184195630008485507435905039",
                "214461625649995509193533936213229156794",
                "313999524419456157250303713283140725260",
                "235783724432646600751063434865882878239",
                "326315432195895027511020524276790244975",
                "79362724684195140041663416197923357256",
                "97852496377720849606915949217570124234",
                "182092460064811199963259166098128822069",
                "64574201373001415357271042986275444344",
                "194437828669412101423433529732064656730",
                "128234883101106362183227192731532183128",
                "279985070369727408170909614248788202457",
                "75891700134729306699583473444740142630",
                "29992636207580157320035827315327467878",
                "78084057375581278328009561946866206544",
                "224721284938457867904422500317838759991",
                "238428776006614250429638962050067272878",
                "318467877636441929904828533981867265270",
                "17004917088205914585367077517167136529",
                "276778085999727371792867276724163107812",
                "167770949442338896966940898400709426183",
                "319086308005512534347475883394692662565",
                "129117007742339829172619385703087849771",
                "132495610659901914873168630853990471139",
                "155020954236258651016684327886481669555",
                "286362959233136818196770686133271241954",
                "32185215322679459673859403124516042216",
                "320204568196586181240285328245995497468",
                "695009891455759803672425603765929909",
                "690043535734535457577293302425201728",
                "185799758345872490100630566773757496170",
                "171691704464064857704203643546358592274",
                "133344569109848065397521954138189738448",
                "88481961074342359447091728807296466777",
                "318985461472070181303298492761118096426",
                "137255057998106380875383925336501590899",
                "216337868689412550490541707590116296740",
                "320561709671062030608337177133984583229",
                "279777076008612337863055257843321802079",
                "162751501598887517521072662880107297399",
                "96086966623503218666850828314058920279",
                "289626733609714325528841218886813617382",
                "294744180305196140604297919657722595164",
                "58598210535563224504970418415936578298",
                "45317735228186903788219135112253149123",
                "15238377280031364966611901275199521034",
                "11293615921573957332291349831648294994",
                "323116944481740639934146109431213741310",
                "39273053980103378181673607880200545436",
                "337475958740895425858193130938857985415",
                "71879139972991799936234853534903737412",
                "205959675542882414893547780685434049116",
                "64263871823103320212348540724410883466",
                "146157024844595637944745787094982469892",
                "214211212564341516853618119686231216900",
                "14123024205575626828428075716640771469",
                "302948647068380999514149896606962540787",
                "97072407232559643931596108340725764327",
                "40233223023560869870407190780141099454",
                "18923087614728294406054612747721776541",
                "82038197852959317470027732580448260589",
                "245130987219054881268391527465999128553",
                "106836560510323250181225598712511044353",
                "86605843652070506804405530075402175635",
                "61371174574261112984514922626332520922",
                "173278297115884349803104486978772531817",
                "153471610948128077044393536282804940837",
                "70920397186048753493536154449998273820",
                "340267205019356185547396813922179874547",
                "189165074390769738349864814939865810696",
                "305153041251984950189782221257960805047",
                "190949634652351438851598631468877286775",
                "109367914844451580461178939990397796168",
                "297229908584957490195229314128467496046",
                "99950119411618549220299560975019401421",
                "270109264389056539214414707844540191298",
                "140891841039889043768692704764647325426",
                "163731996275058374287686221373515937724",
                "204573429798966974633604977833271647254",
                "36677263979867334413701827588307814277",
                "225499719237805677328759970481215492088",
                "218155070787871266653696161768728907684",
                "197910618914061838207694172659110636130",
                "279993257107817056791685638864927839483",
                "221327978027002489001116760589173888122",
                "154156300088928501121520886208188991509",
                "39130861289735045114339044861179454379",
                "3253501603884246246213404037290372907",
                "122303315425513299956579390302915621312",
                "203543026420535057907340561091790196394",
                "135733891398138371158433050725023884930",
                "57296626994590184293490582867291572944",
                "294572480719177177613195956594286951064",
                "289066823226972549767047803392875354772",
                "185083187213265875483610794467279988396",
                "272628214075365062741476979419919045170",
                "29838663417057936906072569141713414718",
                "313617688235020861298374480043962919177",
                "14202610464632042507958658977917415793",
                "34113444169862682949698033289277513831",
                "42683023999876979289416487936406868536",
                "130040976868412441447644855241701036394",
                "255507402708619150182548711581927160991",
                "179920595855277412008297636324755279680",
                "70897790100433975789355519615283835330",
                "15804693827829044290161474762259907802",
                "278289679022038148180471168114752010194",
                "251352669653754387946391429508970823415",
                "236887124872949190826949247945068210776",
                "29358258165272085026410046378606793242",
                "287197322736541475612552506656849233041",
                "69669059324361552417847172340722776172",
                "11915638488780578827279442338064931069",
                "191380081955944281028276033380276414467",
                "315984005666031887742485664389564312604",
                "106360939028911255740529433646734824955",
                "320451362581155350316539898733441265621",
                "302203198759595633684159742492131596556",
                "86607602889748067558248534773651842624",
                "272493933898293837044548620010527612594",
                "197658288518692608627316395792958945389",
                "188669348201581949181437698943225945729",
                "14061545761779829480107012144436948667",
                "264150063704496740623199991561659440333",
                "188802902454815305273382670314391707245",
                "42210423772734249331131453178295976645",
                "216256212099022003755677463985261511868",
                "45818143614386942404991214103225370616",
                "29167513391777481910132954254352067031",
                "176469102776776763188921282674898983731",
                "132180099888523419317742710888157376306",
                "35623283296857185627688680755140067310",
                "183382028788311989040708537443806000549",
                "51347283717986197884417964561460938577",
                "47989280012579729487626497420721426133",
                "297410520011073642178193467606691686290",
                "324940172933694028070792030493348953327",
                "15486397393759077822853474148169970776",
                "99799838028512765313872400248921132018",
                "261355283240280051104391660207488241908",
                "313646853445273324996899246119613500515",
                "307019035277508251313803347465626142572",
                "219406093474922020976170105066848919813",
                "101910674279000673701210701581739070213",
                "39559012732167657557106206367225193904",
                "30542024916090581634021303645209478231",
                "78094668158219940258709594702251636594",
                "112774427780198798270149394224494128400",
                "138483677738607933224765614521395593434",
                "65947723987020717016386439916189132302",
                "79333827773048413726029001728647027071",
                "254977078326788173490687490557330049172",
                "227637844344723073257079001405885145381",
                "201720547323742791786991568127190282513",
                "298272426701541100823858408500132392505",
                "4415355686309664113641254515589324840",
                "18305035250945689943877682913348422112",
                "305648503753629480121288615125463344733",
                "109281908279796451644051460445636277444",
                "303636841917669855036832836955005248837",
                "153287200528424366119446847158896582566",
                "208159303665625786024448505066265959794",
                "279271572756071591107287147303881583800",
                "332297780325444240321165602839592540670",
                "92215994964131413622528605784153277514",
                "142426691787602125375718625111946783728",
                "329887535309732401457062925487445229120",
                "145291002673781600607590315110917405488",
                "216697226166562364952255269111610283019",
                "84620537480881881441339410268544023815",
                "9415230486301028273418217294859841671",
                "241517211925406125353061522499314147471",
                "251119301968722372562361444688268129598",
                "265827928191487000660130584507949110204",
                "112385701499741850091281132525337692900",
                "145671017740570267552910237585684369424",
                "230035405186697662836125604193503420576",
                "231100649841491249334076960963606009197",
                "237208096328958164625140292327063020857",
                "10696787786865882081694356449526784204",
                "132839440695566977482143807115195890993",
                "244045554912363868236122782826213590068",
                "49605764368802207635688695849388735248",
                "128793945459713586238296971919897766899",
                "204627775417276823091469521963853893421",
                "199812048832372209593688935948080929496",
                "286065276361453846459699825754817602055",
                "307009759921753912124172845545943553280",
                "187761212659070658037936666883795240072",
                "53554814511049389829720344442038983597",
                "242951641719520152935792464067455872758",
                "12406972936334751009668293754702412855",
                "224869244644743237377766434141438035128",
                "261160112610443406685873968324962302534",
                "248534229534274766769068910862481194383",
                "315438888343542484520372939936491486462",
                "314938502407964773166061127329669937509",
                "35859043159975631967036512534012142376",
                "234158434143795624520962089459932873070",
                "259202829628539385482308972630808483223",
                "207858850833442447266111136654331349237",
                "322299080809795999193630026707583878679",
                "41172632544276173556114230333933554384",
                "333678450039244362575662738239257722088",
                "269391160968451767055805187909932032552",
                "40165265748654933160605052981327963799",
                "43441641675656927570842584473905837850",
                "64171725902183017008229823971654381431",
                "283260339031721889556223643519424390414",
                "306541788887866722987997826532987440484",
                "175298416176528495803092439846846555758",
                "58672860971752014007656141045517926858",
                "29755454217749227465924615752169490720",
                "253019580474076386227867270418024921209",
                "295799022445174395834840949208642900663",
                "108917160043260368240917835159915729369",
                "54447472611730628018517190889700194566",
                "16780706186271545098984149224082308910",
                "330140966918744939492832930282383048674",
                "269960890264649753168303649203750599595",
                "86150086938981305224329013508748128999",
                "234805934710308726107316435619438950629",
                "200083796958374611848468816664321450680",
                "193706092324325161516314264747647676797",
                "312272304879866764534192779910863462973",
                "188623843697144725435081009700740711268",
                "106538234790096141155081273354898740307",
                "105316497209512978534173131798637242185",
                "326167249724905413168531397708616668532",
                "195661037218306130679138396682166975350",
                "251371571358500793269688644728125090982",
                "25331381172388678668512320382118733742",
                "325264349601893553196014687416470573578",
                "78855748056572628054795103892397161943",
                "6589598731023331897094424328919924782",
                "212824326236104514160149815707536167669",
                "264990088405081994093767466418326921700",
                "185722875627593432117732052631544386726",
                "170208381213854813577965490486293572317",
                "223460188020016837429444337753562834845",
                "61089244109110813569064785011913330244",
                "293550413471897471822855718600901149122",
                "105751230854883977707073563849417857229",
                "126109018509392483754976989083972187025",
                "119086720760201284825422593046825823892",
                "231150318955316744797177526131704315809",
                "55692342735026968300273644719733302103",
                "159062852093098101630293453502363625271",
                "92618491282513951230486092640428322962",
                "96540676836027032506456965461756944473",
                "103272884781675523910266290472377629575",
                "308262177279351595550589931611488860505",
                "205018721882822745191251976296776071375",
                "266111185652479972877950167869156025102",
                "281928869947930721140082874333783103049",
                "108550219866681361761803832867603259466",
                "81973346871279422343858753779314919662",
                "124672289135974073139641546881263524621",
                "169161922141891970569234125521767392618",
                "58725541353405932492485673740150912057",
                "46096290668829252283037288113376070231",
                "30004193044164641524347261400146227732",
                "281681421003686886899153780548840131732",
                "332042569331992211007292507099714971659",
                "142316004027313233381356141943874323857",
                "237189809601996421657333739864860565999",
                "250113882936718600143486848425002595999",
                "42588605861338723427439547784829676506",
                "5447195348369161884326459463402279373",
                "255921893181480699624627497461821032277",
                "157689359220706952851608801976979919495",
                "334397431658231076321583791384064544570",
                "170667361232513523961242893136434089396",
                "161632740725246757847728481770382848371",
                "80766187695330521645924792690532266411",
                "308954201589029804286018153327572387587",
                "275991788596458616429546533295685728436",
                "248402868558122116387713461294035974800",
                "261886474492055971937641196348517207589",
                "100619910048729353137306219125861843251",
                "194085082942516217244315920606453660770",
                "299953955153895303678696044006582167135",
                "292919263147032460778003394240998326579",
                "100186813974936035342700751992535351789",
                "269172828733184290749265820464960106467",
                "337958577545919616980034228758211963520",
                "215028645088855452109435567354677744595",
                "305300925207316216807279670304959505584",
                "214563650996516879465952321290900071059",
                "103704723562170546321722961014296323461",
                "185237334848824760643552938421663916430",
                "119357182715823857907678366867112744612",
                "97963585636439566959195768490966772527",
                "88087155404620817066070082841184417405",
                "28152674255275492306772092585070013042",
                "231317858083819484895355779727264636000",
                "436871273611358287096073023704633906",
                "70035972369254005515249133998913240699",
                "105564378615820557606891409659891872986",
                "288606143352279718641437447452945512969",
                "283023123399884076926182140847781823137",
                "335729509543849944648179705259981454674",
                "288331861569159659042765590932548376516",
                "302190331047083006004619485321893583745",
                "128458576963642044047309143827538927421",
                "264913416216807587562765752565295026805",
                "290686674467696530435786028832423214236",
                "185871321411982385889041990574860333460",
                "313117345814519039201187206666636282421",
                "205031395492606725715586213396001392095",
                "331456087397534855321091430038712398541",
                "153807224366878636909060990596220824116",
                "48651628090023265736726092796125097484",
                "73152204128020213241432843756117754644",
                "124697596184711266501572063509048323529",
                "264627866538117372488477505239583802630",
                "201258201917308947030029519732354078003",
                "332274595640007692204972699637106158201",
                "325830111047216495875567563787804875387",
                "240153601803376779289130994716312643405",
                "181902140201273874226090764777670928775",
                "26459836166750136672445224895551673625",
                "316244266568010681818584237112491855583",
                "151789146815262267185977062792258557654",
                "145375447014236242852656531501230050168",
                "212866447632626882719638155832316742418",
                "109328674325960679875808581191880073777",
                "217763242536060422389256245903713186517",
                "27266342598433141854757692234032020231",
                "200920576918730376397542115214977642944",
                "308038072932486823884353552269347429560",
                "22517815561394893637714328352939977146",
                "94768481620588145394301067200246609296",
                "65179964284049190890078800296387324614",
                "265517504387635396724554861438850677263",
                "323204338382062253905201240643383266329",
                "226282390247420323870493860611387631750",
                "116394629634249761638107976538831416509",
                "112447715798652347689761971530542185785",
                "257021838065820890823980125263978086073",
                "237447311631958798401795623060512911728",
                "222924469415856267044647215119204065796",
                "78589755018997418364632532766608935653",
                "269219483253704754833829289582036127398",
                "277950737711905630533608725808499960281",
                "316780915493813812857760385448825014234",
                "288433021608261801083963531553532045011",
                "174877613449693625267363396592491137134",
                "55590696466497102356592298807122115358",
                "33776499693205083392070265326580088846",
                "115262030977023909109167177711646399060",
                "256136477721895770327624813707648980581",
                "6787065496477603169430908302427691763",
                "27130799418669880337631557929579795588",
                "120542608721576996667124686925323216712",
                "51833978987951339155283350739589099726",
                "243099642339546908948318341138807492387",
                "187756607061578452681692091886103586306",
                "41710404232187966250298087785934039194",
                "65813175111496714686076782993575612222",
                "131160991193725315152073573066769167344",
                "270014498397938765525154570743759715531",
                "326797778142838574689768536750566264023",
                "148738672734172631693846745599384970870",
                "80191085579104483281641855144564110262",
                "336290573942036869858387789044048582771",
                "229651123185297301967599016409990432484",
                "112630651763014288573908881157527771161",
                "59493800764537011574579501635394256893",
                "323538845831991632777586037697066461953",
                "87351012019067649226260476150697752775",
                "264056844497621752688339460930910576586",
                "187603999443229464136234642206019613885",
                "285601770462441600154794857231373005711",
                "256208615314144846036778272331550505087",
                "83075433591444829902097560453982094804",
                "165668849884537146994663904484639324310",
                "112894610998204212221316267635524919940",
                "121954253929229139584282755921094318409",
                "210943899965914054765070647921018883255",
                "7973190879854194914217217701831865278",
                "324384494915536871765417097888682481922",
                "100599584923636780016356251428198681678",
                "324231135305376721430937895997747035791",
                "139219131275076177759761767792650538442",
                "311784696805121241212545257791106854275",
                "172668259511023290221425502558625574927",
                "3048937203847527242538360093228350477",
                "126934586846264914597405763095631846462",
                "49662050475824629522999516022380628555",
                "78786105782417531760032634900236939174",
                "270671545331497581942639930743696373295",
                "136680296165913374755380348263051356464",
                "286777554029145050562041863728332857269",
                "1315658402782592787000095334558912994",
                "333519401184193541310009155184315006565",
                "329605860762557252036463733591911235832",
                "89695651464169364656118904395447570632",
                "223254147669593286503999487729619613608",
                "115060946518367964340726247706047837674",
                "322583493503796182447643150905653313509",
                "268902571352659451016507310463578553845",
                "13072931782868164458561082274562149531",
                "113157011871816881308349968823500555539",
                "146696867618560007310735808886672199960",
                "319737233289401841053373714804688661097",
                "21462298208565831523240178897046776800",
                "99880034349068432397259935396980912927",
                "335827489074849761429989431316333286498",
                "110482542910183935374197955442161086299",
                "145784383047444449155742801026982141380",
                "256206074329212873568920519426314732217",
                "234140016983712352235018385404683644454",
                "297709200891985091807382093727189144815",
                "87644115834617090734276393286417390085",
                "337585655749980001340176904435313396906",
                "210058489109221223160494543795164067376",
                "116698544266404737228555336811312853027",
                "91203107923537549716725332386381352913",
                "70161161810969395118173539198634268284",
                "242531109916738108555593928966857258675",
                "249140045861159111966493106115622395908",
                "331225629618360008883586024912482599441",
                "258228382213128819614975568500706548205",
                "283600744222130198560083816302363395699",
                "132890311415319501842956662647288123185",
                "273200726102983274608783555885340704047",
                "72806491535272246367216261873529463601",
                "85127164218057665869773501755084955059",
                "329998648772339544389207494636464046522",
                "252815077784474778807559126587561049217",
                "55869862552168837921953595801871542583",
                "166694861297590365358856768410101866995",
                "55843636468671485250175741452309146319",
                "54830570126007631460550452521282706980",
                "184123496008380029625272267551243486162",
                "35514636191154789004897319828020483318",
                "93956036518751712809221957680014697443",
                "205068091576925943958963868530726145886",
                "191003149301919621772427741740862342931",
                "53775657845089580658972574689121404497",
                "141089961514637400911179366641986547411",
                "240749436261284675926119568579659347434",
                "64778303230714854682176844670348717856",
                "176636399636119610164606161770493417445",
                "328417476575369457609365804336820333332",
                "18452848377940161839182240661223950671",
                "286426021249306180103498894255619297222",
                "135075671935735629394471706311849145708",
                "285550397410741470291586438696978080530",
                "246321471108511544166524817291333875410",
                "150397337887646249076892170272002520707",
                "243253340676459764211793640095441262186",
                "133614454604439584403261172627984272633",
                "236710052756080454384771052448381043955",
                "81890841891229642503125388418871140163",
                "5595389882655922112313301917638461770",
                "40160184139709999087297129589399194722",
                "286264470960923502291934488085987623600",
                "329223059225334364950883853704115851337",
                "286637002909301583198518499039232729994",
                "170885405104369484247612319095420317620",
                "231520802572220895858284448073847222621",
                "295094181384714022062663051455453799554",
                "88252332091567513444767416593444868830",
                "312109424596841077918359503612985924389",
                "325891838512196853726754725132294386807",
                "139330938979327795501233769552668873488",
                "135579806426994874192760518073720403238",
                "305427040819822818296174704944214349473",
                "254482259635248344485445149618939738276",
                "312516730026120593534936504327413656639",
                "91687250327946903840478064645076989979",
                "140944958787044178562184070339488329493",
                "226979812406572509087301907278189268740",
                "40226128644634114485491391479828182704",
                "241188998970324683855470473782090799128",
                "311161420467093660456430732290689745688",
                "321024525203096536764242100789748371745",
                "234265938183047281637902509356835857025",
                "107118610102795800597757827162940841682",
                "483950062217580916713777209753798427",
                "77614363778466968400353410925603711299",
                "274977267982434561092180913086509077530",
                "172353471776011771674959401690675553593",
                "280351943526979397420292582383312271406",
                "45667117893633119390992691255997641730",
                "320193429169914401298897718015711535936",
                "121410423456546111483924011879621026966",
                "82440498169083209147856403206852383494",
                "277665003852780239497317903241462609749",
                "198595719027035252462821703225277729029",
                "197461815301427958923472251661238206467",
                "35076659878204166134759528609390105047",
                "123787869169039173067267308519722476030",
                "50718436180008485706648309180471197729",
                "332303781133267237795087885447465879787",
                "244235717647506984890137888931083703479",
                "325456183295581759808132641027020303331",
                "125380445492872577206479437927018648730",
                "250410622992024616015242263681579264928",
                "37865247173953796400443132333869856310",
                "310594648114371491298036183272673895854",
                "98319991239576372730584929724512478485",
                "131906913589417437256997048647996903376",
                "274404163053010528023039600258850303887",
                "306888311459679452045821947997831936596",
                "117391230527978147532597181794753869642",
                "153034902911657244279176070937294935330",
                "289390929601190972010670906096651807886",
                "279935944296088912541490497410748805053",
                "296913082060537985948363373030768340211",
                "29531720840106555179240763109730745760",
                "143952342123843648636176704145476289308",
                "40443609911828224947437599326567691190",
                "69232459928538283552216276974571956505",
                "18788859339406306853087201861251396680",
                "260799191038432278781829561863627674929",
                "229945941205442868279292089433197617119",
                "176190946866116303078609927247922492361",
                "304419686418636093454761404986672992155",
                "58211599056774549282768530693959402921",
                "28347239207786092135628798900673202142",
                "154247377198019228025196715603259748076",
                "164645958258912118466289213800063377762",
                "173578924557473520944989734544618646674",
                "25089042791674203436961826220767736743",
                "113042056114578104413703769454462583650",
                "93653161152768552019448003828907114947",
                "304091259577411858264953087748300030133",
                "294983917030563599363205053290627907555",
                "152249845798109488015016996855578944715",
                "178488475559150618754862064632201625391",
                "228841227005940119174257710053252878345",
                "309407222277814422051305328960560576727",
                "97728515711928034914573192230965310779",
                "187374499709888918600311573655029235220",
                "230305210737751646641684301801448419674",
                "82711693387202729298251223043074572229",
                "82961675272842639705487773761711540912",
                "104050727477015285451716430444356421028",
                "119590992049638567512780285944250659833",
                "111097642981590991488233039423527928718",
                "99198712509898287027112306698190207484",
                "33034022413954965990017733100490703830",
                "179337758415554397288613591112413243125",
                "237293516936320935072743496721670878486",
                "215827902704210260859934296020726958247",
                "21629116028241407456263708086382811999",
                "311883820466786320448140750657528192657",
                "254007883487136598644227406118808288156",
                "300876914661404447204078586060563760165",
                "11275789802678828773773741970283378136",
                "202316025964612550891272480565290543196",
                "326311998253113044053330100709455020980",
                "22218594873142833119402314786752265713",
                "138097967355340198184133269575087301631",
                "107452466036997480451978223587272712108",
                "105108441924941789228830840702370906394",
                "179016165591161048054968408810395552057",
                "23199061500436545066096957963324560794",
                "238020694652737956595462344291848353271",
                "67936073267532557008736667736449803047",
                "281273785140791980760184211218464043170",
                "283000535540755875362593892136039214784",
                "287120744096144782988258825500493331264",
                "132982886547607415664031746757009000071",
                "2758637514961962406085012468584235557",
                "152758392317831351048863300526404630672",
                "314513563486126960336966723518555357676",
                "272323779584080885292014316920339750603",
                "86689317330954179536831409118549282118",
                "237316092413487356130635471001577898275",
                "35367992767969393280916944772346877130",
                "261025843710070371446474250294456850069",
                "71721796857497754445256665332282380672",
                "286667526346969651887682998692982505825",
                "187122757239833151993859031047168503276",
                "335925739603700032720923680923624276049",
                "276776448919663304424776280339351690446",
                "272836021686367343043511604664838705455",
                "183312844080836014429751110576781682598",
                "90591589124877747331220339743711451216",
                "173980011082615912584777080446960979887",
                "168509228645329116462330182237836022750",
                "199141326566618399048424077297400517248",
                "28041440358796512753023819614042122011",
                "117646681166794361959263576439648258780",
                "222771726914462322384250149196038359706",
                "275630980445844265044366131158751399306",
                "113080079958106191238027188736018429418",
                "321425755212040898313219789062849067058",
                "329192643492593289759853071032460192146",
                "294081646629950760763661101416861764362",
                "225111647429962243330190019679281765598",
                "65704654607697132482668642280592495118",
                "164348164536533168448842506770890551868",
                "125145833036656025010486924893772011856",
                "297147915661249509569754331451817032730",
                "71889832140372616566611166550197011923",
                "13274482228714284860862810778019744877",
                "7697175257265609740280209706014943096",
                "196607033593289236220270826440289964320",
                "35635382714660673160791692283607251627",
                "94508767757260250628785255056686268887",
                "114167845882174937036610208141415089021",
                "103621524489928811824825129941022815955",
                "245520767591220209786615628876118322981",
                "314102366528476583530425489149939874596",
                "14481888475049404648238271297225369090",
                "127825480992696190148151001956198350377",
                "261109575586595773264112043177696297042",
                "96895894176733021731876281278534881799",
                "248536662637436364275265232334661764391",
                "130651971155867230717369918448300734226",
                "73846045679867306061426822386595128364",
                "12232945227917214479204328372389284348",
                "290138628692915614733776585107849360359",
                "83033538226484607792742514577715368690",
                "281184178074788757374510674640129581554",
                "247143529689176833769004404022247580486",
                "240507757823121908779448023082540608917",
                "159925535566627053410017838262616569332",
                "310561409741061260089551442813929488130",
                "318763012733547097089892027185658992402",
                "135053842013392067881370754679507125392",
                "13700531374514065789074313056473525711",
                "67615050284852808809296132240478382566",
                "30369494540442923592910725871562558605",
                "223869563290668473839298359120931702723",
                "33167913800268334837503632665172355789",
                "87661971859335811817243375571551343355",
                "93647907688441077209993633266970196988",
                "48921829691907844029291604138059646487",
                "91041014962072131278480613349261006954",
                "22697980540783247393690787506693932612",
                "170047912806053029049877184692048361662",
                "149542391693930630348955666666821332047",
                "198080063949759368228611507816252533676",
                "44566913956771471849479633916597246258",
                "51314971249682416387082789035107769992",
                "217233185081693553360984343593894087872",
                "38910897418790210808060016225624805320",
                "199429954872553733655937191958167839802",
                "167654867955712931350813447480518526157",
                "298374152587715111534390039424284348370",
                "42097293034983835916931229932521425378",
                "143330135305553915717159230358337369331",
                "134770062885293301931819268028669797600",
                "53351388595191657130949905094712301657",
                "285121404089410435589659592100596717220",
                "231678653354874821453430807282202580990",
                "36064509014972792487867747901031174189",
                "94965001642851689667334737559685263245",
                "5949650392045561367173304727806041716",
                "107534662052664224687366825752821291794",
                "206898096126069672557067636763905566460",
                "188439057034835140778723965717577415011",
                "85769535662501900716967484648070012199",
                "184951953152521230242095560148081376731",
                "303609077772910447627993783288482061513",
                "281693533575197368564449455881744148250",
                "113637569638500760331206466622736418204",
                "187617624722418325859850448761177396934",
                "291854938659371090634573294307120306331",
                "304677537976428683425868789479298405504",
                "15751740516694898258701380692965079451",
                "176293541097362484623805473736027516685",
                "286101440328889686095221527457705748589",
                "127941309281704671638888351766113745855",
                "76065006363717598228326797658808713298",
                "226538739854005816788540533700546924232",
                "160973995928068042032013694114374305539",
                "30806053526177436135190619709189932512",
                "146717146710816148195700252092904653135",
                "246383229765275016266669547134479089203",
                "230631383439374884944468934296031938836",
                "191018267932280611921747570443605504491",
                "114720674615608679754735593810164284830",
                "178515075081646530760387248838263082992",
                "148624808459023455559602250763061146767",
                "228054399503504870035824076060509844534",
                "125805011935357360678934965638239838164",
                "253542471510334103752721769571315616234",
                "323486853891601154808541058784644060039",
                "285396842303706422074622618971197716458",
                "166498524925298650473535290617423643817",
                "162820669847776313800683276743264131689",
                "83280449530101066313601404177728200373",
                "244277158065110958981163921396549531327",
                "320758487099284490802232018288989131227",
                "166420573685465584356918012692994682266",
                "319653927117867417290594595873639880999",
                "171394267405973965981587819002525096502",
                "17623071582953035978461070917817425838",
                "54552346778774073978874409391525262633",
                "128037625095935765495022937989005101721",
                "303901690907229116412577438603412269008",
                "279072893156387745750826841394658971229",
                "71815913941296741332354172115536852209",
                "177001299322590480972102065566039744859",
                "332165518198012844860338070472389313525",
                "225418529490689007793609649732147962394",
                "235102624138326634175217909748049246362",
                "179639840102124684248897917419761456449",
                "177446615062131713322671391065179826158",
                "60049369995440984030255755353410968523",
                "87563003612248846630255930749985159419",
                "138940490666381726334467700408029582840",
                "81553850391428433056762343698813852170",
                "161737238466353064067194017810271488516",
                "327591022773043013727505086233488980484",
                "104483954929845361518236430145001190682",
                "49324271578616437898171020443161796562",
                "280489927242656707513690011443741882182",
                "212539377318479340437763860841977248215",
                "84438481662822028371113895385536556779",
                "299283774955353752703158826974969461657",
                "52780398277224517633978974063464768087",
                "277209894681535978587181390928219678196",
                "247862476031298654677106728292015683820",
                "280802587653406757188209400964409218387",
                "140086355176834419781917306061716976312",
                "310173147961719276101814129468338457520",
                "139331309329983425920330769627712671035",
                "285210697093508591966531351849055727209",
                "113297823597553152535112288292057408929",
                "217270823234513797513747825855144054907",
                "29762899234064378396758928005966504859",
                "8093795141787038139347316549842713924",
                "339259160725402515357497838932102737680",
                "100600707650946792032290819403861728853",
                "311313263188881121984357927542507798619",
                "279387917577168493097875937137337069504",
                "124838736991803182355727048971660809380",
                "74359520861786915391707306677687970983",
                "155130805721911102455378317952246377316",
                "332197898026997861730956521868955742328",
                "291418246663223587861457106147730415913",
                "80416501288550841035972822552700643680",
                "120492718315292385654384233910984506913",
                "194432116820399802205920389256106694171",
                "194806222657503205030457696866628275219",
                "120382216020207589246616476894082046067",
                "236800857064918799598732060953370620457",
                "142161026823663858620097831361511749824",
                "227984154644427670310896715746069236090",
                "282721155315387229634098791407289356970",
                "50537824954344161204651519346842551748",
                "141823519850459370518597054975416505512",
                "180157987736482034953501433886032665462",
                "242809239981651486008193552544063874629",
                "97916787939268835503547204007506453901",
                "67167520191589405992094637905853381470",
                "76894509369773824187220683562478768587",
                "197887143270722517881098454670698474838",
                "138079569447839641991598811993040178976",
                "219353380874523809530440043276104467580",
                "100697707114063762913648903245638130211",
                "248973319452151086167569509680125474783",
                "178553662611806007784767837199587386036",
                "326945648936293951297032594992125075700",
                "334817542354629156019987014210317262698",
                "208286581507511798109146154371179018715",
                "338539673224612420933734645019414387630",
                "96538702701255966313008905888454205984",
                "245363881991272306998050096433043374185",
                "291532669236574825298355693778658882378",
                "280491530278280517119221050242273990656",
                "48451747459932964492439227187883961663",
                "318084640202181097770226670792417799380",
                "241044852916444909150044784750917560523",
                "148069673094215709384944219932738262914",
                "40367922612570463589973289582186289102",
                "287396121915685506867849463397047690809",
                "217689311804377579366154451704111912409",
                "39736618728335795775646803299040393480",
                "142693852371374620575899958659887635159",
                "45654779930648316938961130261485507818",
                "136269385379549432838398727883648880373",
                "63528170675939198426202869107375959227",
                "186948074698412207297839208641948222484",
                "157944677191557943818014061577051099065",
                "267904977379409685247597637043365749066",
                "29693021219594642789324650214515317609",
                "304952951387491718395383638061612714983",
                "149551107789781285083012121394482774200",
                "171616636776272061038609624564590120913",
                "190229979180563262302870744019744609557",
                "153394433158081806565553322759098769097",
                "240892324477222532091467952000788941369",
                "121353769783019595606058292138444020872",
                "333941467016021997201566792021503586548",
                "214104350263346915595473807976918525314",
                "251828617048337320325782488497070059265",
                "338089294182139763078032098807303154758",
                "283599033854649215379899549074097625115",
                "307740367310039045486883212276168847973",
                "14149471275735097693820169559380668792",
                "132720473737437543266587146880769593111",
                "5307776724063269881039733066138788809",
                "105868718884109876846242845224489247288",
                "233681922772482763417935895622939157920",
                "226438292729778257180314440275877850960",
                "105790052521742601665316966741158799209",
                "183579974591429131771199981333345079522",
                "267114030826812222510807032321853813398",
                "122722529660648812345110546702291467345",
                "322690246599729437154061285198256285404",
                "190657891357485377430060022689476819107",
                "54203247402542023166245184137981071865",
                "123909916330038529920656337020060467902",
                "306554226612973878263024566659226739950",
                "257944672906165652605117072281110274565",
                "209612452666097413871484516234516152517",
                "59403562894528034200966440060483547486",
                "321994416234152976756807997887610135001",
                "180606739619973745371578121508986867586",
                "324023683564278605908640194831479624960",
                "122598957930450105479476935897812050076",
                "126322789023078788416579701318514657702",
                "5122897402659881870765288231677798517",
                "163471214158586107733337737995344519318",
                "111529801197703413279375301919926161442",
                "273986944416297944159170514840864288645",
                "152213637049134964320999217057408063271",
                "310810639845225243900489587368026774658",
                "295105287573377779420628089651370878211",
                "291987983291255810573241099178321378833",
                "71881032968034299614650424798991610258",
                "189920906483757266688566985393502014234",
                "90555130126031706762143799259127217077",
                "227600950333395558634308307170839425837",
                "300394310651161646368775145671909790817",
                "6164462500129964345551889056147242397",
                "118095491834622632234255024721785960949",
                "164927185299022021645218869883830640535",
                "8419748091705981739724918335417805807",
                "102351577755192117853972852050103431513",
                "149873568395089699645294420776064977902",
                "173254125990419899998143981320426163506",
                "208590448549832874150963567188449389127",
                "5404157983918440271540575297562081478",
                "314327753276722081120853432845227092587",
                "76077025489046612582250177924879787831",
                "95138852661249638897019827985529690466",
                "223964378402615849899477469034816494333",
                "302694663527603902452986920374017473549",
                "130535866995484253519583999470621497136",
                "81579142755086323614123215774324851813",
                "206227253117621104194288161232476118855",
                "334270556269960142307357735731887663455",
                "223206900124415876253254481511768796752",
                "225390947124782113094658034220139210580",
                "217017574580669930650163988197395679440",
                "88331247723244456296839750564901622472",
                "283688043922055831961856704811283168766",
                "249785001054404429087247904649299286764",
                "195650477477579056191931939944378402970",
                "340068808419818461456987253919860514022",
                "324995508130976821595030020112822475129",
                "83268704282181485763975649779142331402",
                "161988896213937853188383018494838759294",
                "318362432633422321572780009236322622581",
                "148687149432330274687032481131967061953",
                "73966111947391161267527625465530657518",
                "324758519195599684675913674301498772689",
                "276180622224402930682777716285370549024",
                "24622583008765409748515926126422561983",
                "153792253082969584818733415421139566150",
                "303493984728390886099476821006372579654",
                "157950752635683312981064820845744230847",
                "260968646328102548014775299049530059046",
                "165777100008096399253389254558677881618",
                "12261745924837800289890051048468645050",
                "48803972561490667946999465544301489239",
                "48518484282020653284751705732855806299",
                "23889131988508023303356396658526443502",
                "218656343024056795049117668650716728763",
                "9369701033930388665681556334176120007",
                "198238775068532479193242192250170234610",
                "60152808961164493227952397904752346901",
                "229757348451886460211699120576353348339",
                "70436102092149720053432845890469045342",
                "113139508643233205830178880663243381287",
                "295499658254184913153128960341193225089",
                "101971256033528672648833660590724169334",
                "239154068288756753635959060482686470973",
                "308655139091797606904233108553536050145",
                "319927445809713128477408277003029733654",
                "124265080117652668485042113715560351826",
                "121835258994603490953777589069355867896",
                "163812787566030380630619904192243255515",
                "86837435102607034892766914499969102924",
                "297530316736607816507507446928194010234",
                "296474914469848428001797227633903533883",
                "211300231602352035749803009758609300618",
                "11996073705449062834993729944056687736",
                "115881381722915308646373909598064079328",
                "141657032800761749024379592170565694819",
                "108774071865239345583391830518094388575",
                "217662505793891700691976550964961869917",
                "20533076689802245203388855008920238018",
                "88842753185576461782253899924131216190",
                "275128241247028130432996274764659914192",
                "24311785133600209203451349764830736860",
                "68363851430460227435859890929929608555",
                "62187706062241077067596563839842405475",
                "204730755249706876225884765192645334534",
                "114535385874140964029589531216745339969",
                "319038863061005368313826574166964625204",
                "207619032338783787472451555201461112405",
                "289445500376338933221484976169602277425",
                "135153042775324026986587477233870556503",
                "315777944430209842532998512870956081242",
                "212281154574925052287589464134674492703",
                "219766197874338802681399243822141289397",
                "104776650869172675857435356569306088087",
                "221212822706396226196068224576593461957",
                "312640755176867850737795083819098751705",
                "243327675849319052483572373638138613843",
                "299147775960965698711851048336077380029",
                "72805021650198169965357350716630678780",
                "293855842269867015049220774214642201760",
                "65371218836852645084448335791730626971",
                "103391300389486075204201047801760026398",
                "121670061572387414194177717635929543362",
                "128133154921664802993509233570746082023",
                "119061071549046612915429370416685534290",
                "117370610489339575971941951145391224008",
                "339183186634998345136238555061293800177",
                "242627120092597672530307349882293921902",
                "31279173422833637006953092338531553350",
                "140847422310278124363316072162853581063",
                "237114172447193947303383489328020715557",
                "58079537786954374684798444785697579831",
                "133096080867311823163544708226203670195",
                "308835916307897865583080928997725442680",
                "169922734758671159898848550981085141343",
                "196545167524226972700038117625887877709",
                "89297416144776634774100171816177415212",
                "254316343063112010070743593027783303194",
                "87051957613509122984534659106923172138",
                "134452398939144731072471886527276063295",
                "314537020643926173286993220749797878239",
                "186605428249018457416698798376564454982",
                "293863175388804470596363261860941215440",
                "39010933707188624347782585453457857990",
                "315232050719842863602860892666151923321",
                "180929870445291632038326940529237551298",
                "273430291198527772523785809382463825747",
                "219215527600354847447881965718965451963",
                "175829722424152858430041165878077277962",
                "290339762646758569390656818632696947639",
                "331563880271737205580179338778386955022",
                "249544755266866506142864026150636777843",
                "225879105741983910970473825488963852654",
                "137351214006360893362916074420469084053",
                "95103718722862832987943372901002273695",
                "269802402140614126956212350100560364495",
                "280946601331093876959222607316961355024",
                "115860467812868709398450795211475355255",
                "81899146907297103537375214397051262586",
                "168152620311800310309751720169563582884",
                "333681998901766621951019006013247293342",
                "45203899542964945731744931462279368739",
                "85880990037407725129492201220945019242",
                "52216639131496074167997290928168722224",
                "149518168310289174099482514536955704907",
                "188530206453620477296067176401547930185",
                "223724300162943816390299794199974393564",
                "98233123188449524143345420060510895198",
                "246242885071652706755699301594487709258",
                "186267479246723905583106687487564189143",
                "315958805559716372601815042392355584981",
                "77951395046066904854063616288968974255",
                "271576543440439028753546857162318229523",
                "292682434786144667831847142963217861292",
                "87951365937788753526664262067223080665",
                "294857375283587529577314840276937937180",
                "31009659740936950950086687143209499704",
                "125543149923349745128642712989628933602",
                "331399577693831123624525747752430470358",
                "268872485686868494929377702483577995990",
                "142190355490758343487764690917480270766",
                "321655927896808774434556587004085232324",
                "309380724494062660539673205036930270970",
                "122638806418524361297837925632033275946",
                "199209883584412874093222617217073783460",
                "228274815904582744332799589453479598385",
                "56202960302106604136806254303444619909",
                "230012992259758798487693360002217339124",
                "248872016422494232651314171284538528585",
                "252922711209578417299478582506456429267",
                "186289927770955582633509397993620410970",
                "30350100047402594651811624173462451227",
                "310594303691150364817165069036223233728",
                "5543873391982048975476061670629583457",
                "147304616130177755287728085606611927768",
                "191052062865998467231650111474313770796",
                "141954104277120928534668221998026167117",
                "188709714320166529999604988665013260522",
                "140453585662309686194017525999095776862",
                "107891591270337941027777795478925977147",
                "87494153496345504845021502369271780291",
                "84008165897383304221034444343379602365",
                "43967217358967364137214152262236255395",
                "264702100936830778454662360492521380300",
                "105141193356293564801141450497637069508",
                "39743221212317183554583629286337986258",
                "3227418243189984644215264807329511368",
                "93458609166574122944231280552565202486",
                "232952029922270442011456575311811900858",
                "228713111733806516986907439662310231273",
                "150225433272039882901708075493821857788",
                "157760837969842059362016328698381886258",
                "110398416951118504564161634784348980085",
                "203050058559294410085359127147087316628",
                "304206127861594090961244478735427316778",
                "81604275053382822511528106305734609295",
                "253757601551735235835436774671935408607",
                "233337948489535710322970280672379146824",
                "274699534994715980861787860644472423777",
                "319227969269612749613761373930555901326",
                "243678039558226786062610929176737533836",
                "132051477985800191760615603464580347546",
                "116078571927945398372560294731955854748",
                "93445982016757435437906020718967185224",
                "174296415342332406472851544527194560910",
                "241759224222221872379230542222005764464",
                "300559380804102636691394332541252734737",
                "54253460879435982748684004326267755241",
                "147706685919284206413392844111743584368",
                "163531471481597405344667365459426672924",
                "327306454810340288798889787026160422379",
                "307446881925448279671851257735976629237",
                "239313218928310160397445949972206529465",
                "248518234422799121957749010284338801846",
                "147482237807495907124263611841152065226",
                "239152862757707188522248077356712401635",
                "16898911877831501897545859749029377422",
                "337395437423088844132422120361338053913",
                "131351989766434049689391058052096952189",
                "139319834451123431736801445333320879061",
                "137426638047562456557037054911041140682",
                "118318897537740023701191364333437054052",
                "282363871658138891384540475613181916006",
                "99896470880306313419991575092059367711",
                "2506738512322582944859494539706661537",
                "162146148063043043677025553925655198576",
                "156922896641355358697484607281848608164",
                "219367815255217208859216670708051706632",
                "294081886602504799714098593093405013929",
                "35832795909842898563956653126244358964",
                "222182426941409625481387305792396124894",
                "52101240233172459635562073981009523074",
                "47274485181354465746392115909863920447",
                "113019290427695281402641499563378297822",
                "230459149690550849353523432469691964631",
                "330269091769878094511003596026197056501",
                "289532873917942517865637948764175348399",
                "107990965960306288717990268316731624889",
                "284648172978138269754874844607496530956",
                "301121060937044419635360880655869943759",
                "235389844346622073137114538479803473606",
                "338221758484459854407256928503667666022",
                "197814604207344245729559863884175089841",
                "59538198312247515610917658778263111325",
                "85929646411797721305058266408788045191",
                "222401681797344977665691832220609535438",
                "82317701732717796200629469089143705333",
                "20788830461914774142497077965415301638",
                "256769163273632928883069706901449231978",
                "83288515355696668709064402380525054514",
                "170674601177375994674508932266640004121",
                "41321386557909642683015420724185775788",
                "238298112172147728463157062062166340580",
                "287175698160107033748216105719491319209",
                "265471815411702523186548859942095217903",
                "180317535574497873418626630863864955136",
                "224070000625285371394762793754616785441",
                "305801136861082875429434685870791564402",
                "241399515282002741783032796028445187052",
                "223143493404287555206172235828089464203",
                "193629103437531990617759607331799087341",
                "260025096443618224694503763568817402934",
                "178303013768845760929931395421094323714",
                "230635964919551088298593367804359068485",
                "295027474618587387726273204603517463196",
                "169892653286830417583041804642513750819",
                "107119028208556191209392099142760792997",
                "337716377214344704395821879947214422309",
                "194573657379088747290494926340778939525",
                "155587588725710730313316811518401441378",
                "172695638720794786215985633546780093692",
                "38602499017568862834887245985704960915",
                "309450577792485419226065651327390537931",
                "174023147335422878062148647526982320195",
                "64965798819153445179063448308577875718",
                "179304071955493334084224957145733453912",
                "236540544004455224118454414203637232476",
                "203953895309130762324670370608579154825",
                "277534919051040980624444246921289645832",
                "279372056484767243959940475783843903038",
                "115041838236352741065886963242480936689",
                "301862331255478033715424506918073087976",
                "218302385957501838626447420571012721683",
                "73217670702875589228116857332816601609",
                "43989654407295535539295630195879221396",
                "142778639418151129118510115287432323748",
                "56148263814345936352907447545677464268",
                "260810975723225170527674649300482821828",
                "252811932924236229987914684809312950464",
                "166851783744650971612317770013461911834",
                "121355426349367991046733660511605903419",
                "197452839054974843592978584162351378089",
                "43094694976858963833603031460177589648",
                "284543800017509964515428192381993974468",
                "250733840711860040970663515125662478996",
                "287182749469950766610125233321576678385",
                "319732428209042128065290878691954038339",
                "105334542589673504915627158761924183303",
                "110468331954918487899355483750778043685",
                "329165761952821012513297779207089681485",
                "224574826507288949231135289914196630715",
                "66141136139142818992688029742792008469",
                "72619546135684860071353932718135945431",
                "262992618445772382056329260117609848175",
                "200807573935319010161510031674426133293",
                "268457330037990432802402067681731266138",
                "294074827237323050194435802975300508550",
                "60986710016228777889495357800549453428",
                "210223969011285003403715570050726115462",
                "331625357487222493153711444389790776053",
                "189476370987924751908285139000795850614",
                "199918257773045645339402556955975248539",
                "119258545386045653061326439150714075101",
                "184614009673227683165344826238162143542",
                "138902473357927075242266268946448241946",
                "64311106975735226475246715011473254943",
                "183763740353612230006362855764154479465",
                "174909816069974017751347947645773642103",
                "148571893281412884378793740219312223071",
                "226485526898368075072685879178867859548",
                "136434621262745863569821965390140580844",
                "189129251737255116319668819067409878234",
                "252153481655086268598488423432508188883",
                "17045156712192049667896389307609813347",
                "236966409159698585092106182275636405712",
                "40760633892801908918476913645604825410",
                "320592608107203470013320739665429647290",
                "24523223489290668764027875944282692251",
                "22225360060170106137217648347720536729",
                "336582799635197372049409200101386141455",
                "322264811915189694117642431038838497318",
                "101656637660841893441296565350264909859",
                "8732494946019539344791055804296091730",
                "78864312295719980566855162549827263375",
                "206511481514697524411938852523677663993",
                "313325624573040950573975303762626188937",
                "311778877883153880702521337962980599785",
                "211030702086766062409888403797245093050",
                "226167126639218518487134460353847540186",
                "229672054074908453189405718990956338176",
                "86259234564513714401962167534248824050",
                "266554205315698741259245479679886143996",
                "173419068634083072517678234122516131292",
                "170836579524247483404678517665909687888",
                "12811051736223841144330731783510650325",
                "314234091249729134198583749511821131021",
                "62445975732929803183790165784259519064",
                "117714278941491605690032501573747875773",
                "255002392522732006316339259831522664847",
                "76006324158014565324179127743478842311",
                "140336761990476787892203397395748930833",
                "292359823665327355534787645004763314030",
                "73760312865159750660096199482940034165",
                "171703990023147466812617104020294565185",
                "12103943970360468222931289816300683918",
                "292935895868032855655698227802642173337",
                "3039746235921783663587991443727155098",
                "138751646064516223463211599560393017446",
                "38695033007625802285119109509886980584",
                "205844191066767324331814872086498818084",
                "33745933283010590188527034813534277343",
                "86946603275234196187482465790055509703",
                "266329600589631770778970506201807640366",
                "41524666660940876884018796796993907840",
                "11368011489220770430017761117415794213",
                "303821544356068992860056996808653144337",
                "303988023882293396013624658567392859936",
                "326532891707708243333780829190087391005",
                "25358661999189695087370996450176734280",
                "262073333624426556024538157740721475111",
                "159624800699542397717544127340266500564",
                "305439671604647834666109410052320863991",
                "251120580382338404227561152737085930467",
                "156517869694129360758866877465786637572",
                "325845273728633045594488056599375624076",
                "117059596140331427897671890164221133441",
                "241700893189348387562955489369489855898",
                "206757781162973993274161310664298799976",
                "205105951173616633699237925280817881958",
                "265506502518353124690621138468995003086",
                "146770828566535321832142126058105410039",
                "7413576901791298589407808100704765312",
                "313903746402944940291825064836069836122",
                "137767770078488862860299795286167343401",
                "63340326150656548704161172003806398057",
                "147397164734322818608118847576724694528",
                "80080741234960071368100684100640714094",
                "320818997150143331335417983150489862641",
                "150840284034458142720802071623891898499",
                "28333968861356748590247797072833341658",
                "34113043455751941830628456649151994582",
                "120733515233638934211679948354207001064",
                "281437133382654156610351549733411840576",
                "158343569336304726546568772487617886314",
                "37045111224029841594069762093472481579",
                "63031814717551042874682745745638645719",
                "213132039804839407144791621268272429973",
                "241245262764653328124909453329699959510",
                "176584763172781150714048040703719874784",
                "226708767442183869405624751188176370223",
                "302088026243670509594936393624468692278",
                "239701498896326576753330029385859860701",
                "247851425173118324136581783169114849413",
                "306743001787753969308659980999305063023",
                "177688395426121080658965085590145822536",
                "165301172786275235403987332167965128481",
                "50885375667148599248417924076355413291",
                "69009496149374395826036935001715412166",
                "145355664835591204776195128749494738675",
                "337328184662347005392976321351693103149",
                "3253230876713958396091070075522423445",
                "65587978774764234896079579495349705352",
                "259714384556886679808364314370089838154",
                "207007943407010906029211311570633176067",
                "308211653627759600072435489259588991588",
                "316620914553410501122023961904756567819",
                "227005471581864232013017597165936799834",
                "303232043998200556315160836948624460614",
                "211664728947073204137076058441951753304",
                "263661050061730750400735733028764484484",
                "212557568102975588125069619170486241605",
                "123892618515264773051922327924209139690",
                "130740251880824804952454912670660672932",
                "7288939599352080584445047915293933805",
                "320818662537636700884144773677075649425",
                "28412972427375081469166281517805023740",
                "286560538574737909032194800051109961305",
                "72248492503493273797324654132414670388",
                "222201835253205392736202062868087152478",
                "118834363489741122170583142058253142375",
                "123776586232460792865732909892017373475",
                "141094014512494812485342089631128405977",
                "62810801575433566996166867348235166153",
                "68826014638553559892839259919178254692",
                "160337829882580224412366262202361641831",
                "250936639942694455464817121906750308576",
                "49079360120363158761852738635431315096",
                "282770914562728555663284353268280083704",
                "188795759318199871606445164232543796031",
                "99764524648470656196618886463404514382",
                "88365763733524712242279691231358607123",
                "239229008317713909913281500680880724579",
                "124992375256304951910042544446281716933",
                "309204425977203169961463953159465399723",
                "57950011501250321185165021213637366428",
                "235203254789765346364113003038783687945",
                "329167187445018258567325818576982956070",
                "23992842627852474441928781488713291593",
                "332985704315296511343037127876159292946",
                "278680339494692073059331355585396511034",
                "69184068835559644286672552927308910385",
                "185017964171192320333863572314422038983",
                "23387928425233506928715620424174660355",
                "219802946320557941824508261488483831542",
                "63545759915499225448302733621723322865",
                "137300703294353297135807477581120912686",
                "12847503994925366840635385158479799416",
                "6528597897543918684008364372025339166",
                "305705168310188360950032731613814640562",
                "229268018127317169734290628472697331913",
                "154730673648770960863230468112276017204",
                "313849959477093738530977291294767851094",
                "38738729753679826602172415142009409141",
                "22414631130814274192679062320375851953",
                "3026269893343366416441761318606169557",
                "57418940476087285710126011516523450663",
                "84926652857262084393449717332843103010",
                "146731404277798807734872009855707379849",
                "250654480900017239058673196356576837367",
                "19759607330765101901304241773720824199",
                "141488769573229146570888980044427862752",
                "336596881069825792011884041932073182364",
                "135861145115242838919571754831731507895",
                "324170551840174458985695041343711097424",
                "100954128448544409593876867144373228611",
                "57184955235027949772076890485629457785",
                "330839581512857941866226503226458903201",
                "23857178114908528585610309589920825887",
                "142524392293666021798723791287400139762",
                "95686940892848472593156273011753941905",
                "82510761175294920057890919519299142327",
                "318094181041613740214130662011897677624",
                "103807817266593669379566107704566078936",
                "8141781011140138295722435797573386251",
                "323136160727509769932221089665707427226",
                "214188089919057622856383275631706230543",
                "174444081601562454146959078331756921259",
                "83656198036175009367989659567546996746",
                "145248741218035990434118320470664707047",
                "63148948381622900549797937265076228767",
                "203869170493186814271055828911320609884",
                "228832873707986942819305718699254172183",
                "286113056064053226892314895799992640310",
                "90137480194427234697915652967869175885",
                "289973012968590675424522757981189509277",
                "328360179105175613054696233784793124646",
                "270472046230581420416508483086150804645",
                "121377204376328577326585903285294501899",
                "187112603164641359528503155157388405215",
                "307552087749247580610940748365490489980",
                "77362762294317945280585768830621334880",
                "206378204797550316098702883915832669486",
                "70616519228742982733863791044678970034",
                "84853282508477416105597435492312069850",
                "173403642777204846939693364650792881345",
                "275038656107550177770668125827647629191",
                "291210553949341788265686245041922924650",
                "191799508943284574137597479928815251441",
                "272289562654984918662460544918237093700",
                "124836815491336267647164298846110384212",
                "107172584788340152791548756851446318445",
                "239868077073439082962678663984235567773",
                "287277509395587527944262504907418931923",
                "71382999929853047325707846833197784345",
                "88063328493832274486739290625580800756",
                "324945751254599913596668598321458348976",
                "164499118789385692889263264223358784344",
                "67293418492421339553212509894768735855",
                "154954671603997584399333832959298671684",
                "28304224040340146476882015715550229895",
                "43704073945962039195070273937579415826",
                "150345644845576556895398619311333949128",
                "143780908760137050865033663380166017104",
                "5938070868936900550037560616026850604",
                "333772367935695309897196750224184926485",
                "13799348141470048634561180443128833930",
                "230530570021089273550131755173664143429",
                "251058305603141066834106487059169376783",
                "140181593058522535775591541866732900270",
                "38341866189106059721801072191496292775",
                "117169178912513669273013804718579201196",
                "331912244456305530573981518653120664277",
                "19050617098821555015369319878604576781",
                "56521271280162392437566175908764820680",
                "306555272139647805985623057572363479578",
                "166707760746658297154834237461238269837",
                "302482711049916869502207694216475691973",
                "99866507251940550066314312186041172188",
                "292486905578571225091516205104930261450",
                "21737259607933534904666630177042206308",
                "25528191423681099541080122118777603105",
                "135724021522249513147087853652566893976",
                "281177257247739373389872655665650338931",
                "120391963027030472350536432179984278112",
                "281234160327618583826576624905639730098",
                "14596239847090001032835887767803572420",
                "161909942890294629603987887215512006123",
                "31228634820519304321697503871652624265",
                "7629703878147923348215905417257536794",
                "290786122194042496531185660509499173789",
                "257111270247800919479752402300525164439",
                "257257497651484913983710634357240177192",
                "45614548354653162569127226696113095803",
                "84678598346015873339752781619106515147",
                "326046630308960302266280197615691433597",
                "228090058017602279056134404043601146892",
                "286251537386008923588687466763396713558",
                "243758692258331710644301451923031869601",
                "252350100006561358427806751266865541544",
                "84163458680181730202565560152123716513",
                "90674703078999111345400232689850111050",
                "226658445325835297044704458706848433087",
                "148383448958721925245426852432848076774",
                "145698582036338877756999180116974220863",
                "131646863417717051731103965089716515709",
                "234261622470308430975592598944722602580",
                "283184808519745498020163822882359003601",
                "297326214408546842318344074908309810861",
                "284853355430631461346230186265408970577",
                "113010490158082017301281505675873478108",
                "219162478462769937586578694733206259409",
                "324288330602834494043170908435092783544",
                "170200958651714208381768081880454687564",
                "317847803720835622452123943260507898920",
                "44877775887985642413296371788488029926",
                "192454648733340286541377013362447459922",
                "43854974746788028401774175075706614346",
                "224637373149383224001616011281277128457",
                "30039719155691639040791099138310158119",
                "225851373810404922782760460179152785461",
                "216774792059229205527073155336393898823",
                "89678595771764003790945467825332992016",
                "304753226120239649278430546143764308071",
                "291109682698480612608027074197544488857",
                "32867034120644607690077945211210645862",
                "260320882219881121725790783902263740083",
                "150753380374235098983203947685424689676",
                "30412145779805613662458838625445443200",
                "152567932575453973068365150754978147887",
                "114176847187628676905295640019953313501",
                "60826062168297952331501614588772464717",
                "270164222950998562728790299010184367929",
                "225031245802289173968398920043172086377",
                "276748374940763511777602675376201043926",
                "154589663411264450198920867989409701186",
                "148637716452663773681158283397106926258",
                "52305544374216949431158356781511376960",
                "62385825799290464853725346907507891678",
                "233022273851754786791252828787694907121",
                "244565414062842850578243098814147216310",
                "316675232695613329574180375138471893636",
                "190473967320368552958392577774341964784",
                "87073876503373420640255680304920718597",
                "255916426307590703284097155011866211142",
                "10662318206123419464424261359607688235",
                "306009483447272065869305514179308792560",
                "260837772704796273583715871666933862423",
                "86947456659294712035557873795230050688",
                "259530914969650450898057864510440860708",
                "50111114114642965678189501178546536988",
                "204852446386818534758197483650134437066",
                "79393554628123384386877983504355702239",
                "60689086416404475431546566445998893117",
                "291574334025674730371891618682045401370",
                "32226337357418753630975112448591808039",
                "123874556281363024668000422771608665858",
                "115884592826027572449205250180749898992",
                "285389110895873698420557166668342997848",
                "275319527962059022035820158364631547403",
                "284292842792916059931205474937527526620",
                "242368979996388275856556008451494806414",
                "141871510573136108501957535857789100134",
                "72349774815930772718011686838032025645",
                "94660653933682981639375052544806686082",
                "103147570519801506338973846813170268165",
                "27411075981590117164757102343141885921",
                "214836323815838824251894519411927745158",
                "91130143433809026968191963819597853765",
                "24814239359744879926618917241219934429",
                "174425264146870542522136208860774561102",
                "212857726284479118320237961925597081334",
                "156963971145563640733468852486213999232",
                "55725384353323393949157482275459038828",
                "209571159669945274314009703053253867901",
                "255790722395365822868911959505490882296",
                "292862255184521879005467687193287061205",
                "304562973470313008119673232083653968491",
                "51768778070131618856073930749579481197",
                "139541937962040284212885148123940881295",
                "311457148224520633619745657549941424626",
                "245701206812258432471882369953105410261",
                "24701081029998777234799784699736787272",
                "26634312661719189069802408313925555280",
                "255378645972829011302454515268422416534",
                "183957224187977873102621585419545992698",
                "241572959260918556814229006474468708781",
                "20148877360694941896696330606166730705",
                "209744319258539723827845344702004844302",
                "24252080054154062306205562323711249549",
                "129851943557091971889609830144698784645",
                "238708834530139204279576517595633022780",
                "303452579628081937726919952979012270235",
                "208358165940887524163884937262524762614",
                "143759985241629419963895771016820841597",
                "166145096680875893096655808122718145173",
                "25161254752952102300502393729982507627",
                "213386193286485868112024055221905195233",
                "20150644519566667899175597218665328442",
                "307904166625152582923075828481412481515",
                "321884715702095699183935697824853099538",
                "107934606637133322090279691550182950985",
                "166647757251367734942111825496156924637",
                "90374555920276558014744410587490843535",
                "17132290338999140240317220176843499286",
                "38410013633283656962504138859052315798",
                "176084230473552782009902815669219102773",
                "261410052727547729154238903358960073764",
                "73799807615122214187130402563286499593",
                "295008872366390840461420298700058879112",
                "231370963724704962157615237882814260933",
                "215409527016597973147766777239665036412",
                "171379441433384361569481902854816327566",
                "133781690049058779612598733029034055627",
                "138373445502133379771261579939628387446",
                "232466999877269736131687527031387937499",
                "178483132017391419969476590952370115450",
                "229345058624712775364823573647814247852",
                "293920244344285881662294208401288363627",
                "267898595954080683263108286467125777689",
                "35756497661734474948004737343313138785",
                "143149401110080078445837290010375254933",
                "68516852143073801729696620526215341788",
                "327075457087635691013654193588774509590",
                "142654485088530726410355234506986051774",
                "102889585995821814297214086930320072633",
                "127681821894895377842537997761405708982",
                "46760432610025117572903003181279166850",
                "59996158760323851559006919714283686631",
                "33704185412133278997310989913075619785",
                "182850874344047234834336754890504414791",
                "172255696135453342813004013770739135306",
                "167238306086669530733571824792648625584",
                "215613858299773005483746851242059980398",
                "259964375743584213739152869332035146346",
                "66771133296499449069075518173953773277",
                "207950910066567105781982977237231125921",
                "267464387406735570175788769613322735150",
                "178248871352471845501104290141457125454",
                "277854358246058370038630789776227873967",
                "156062062475546258169147196720199968309",
                "280128391629727571256267321308817650614",
                "74611808971933623125189912786760884031",
                "52913585910924489063597536819333394792",
                "244552598405487516365096246697516259186",
                "48637196244578250270549885114231534523",
                "183053557654988031609987963542387415533",
                "111262150479937090384354191797802712797",
                "260981456267453895522994320860579611944",
                "144533994874971507248348814212577373287",
                "209390182399264564400324878776302154744",
                "189946392532253537839845644202821602705",
                "331475358537818262294554115907539209534",
                "317752235301508618728031725864705385528",
                "327538878593034920028305232439070435193",
                "184368655990992312754864561132299823530",
                "332267879545702902066611806094730316734",
                "9219371927707344673612395126394769627",
                "258914191715132570753891415081020935159",
                "326957296545748418182242560618394764129",
                "270519675401177186285425267821151122598",
                "206283931747499530650581459888260720716",
                "84903218857265599295673540975720714624",
                "226889755657312554107038748311917079458",
                "296686702727250040516444878853655576586",
                "22645813524824332966989047513569002343",
                "322301329704877813027622931697916145835",
                "106071681241689790779445708132857698750",
                "263640032928331073160920668388086831317",
                "140699066550254119266804033274937708344",
                "94936264226526096982174692863899832596",
                "269368737985040590566373176939826767942",
                "148792096753391320152058801173000711829",
                "113081644791053880368832154562590463317",
                "276807195983050774427388662090657370569",
                "140963539332164011647404689860881601791",
                "241902514490516623590011469749166173877",
                "33929586426573275524376165851859307724",
                "9949342006949565071523849329616142106",
                "183346649765263928613075258929885835008",
                "288374728166645890860026989404421850157",
                "255358512880252638493455023687172483965",
                "32316619249292841671905603261258853459",
                "135273033183625895093064899044990214108",
                "241582444851498949783631123930256616037",
                "304965702741773418495713351596753385148",
                "68994951824707932369414656859725923382",
                "256180092322763207112060819444148494553",
                "115570416708100953775029134467183709404",
                "79188401119211254138128277458162737828",
                "85904319364012807088032038618322912548",
                "72882233831824397173660166523533391020",
                "7886942560150319401895503039427529899",
                "208573330421856670093513026744211124830",
                "117524873918554654263279551878308490947",
                "185783918069763806629154332802288799491",
                "265327209029808210809283853744661572682",
                "6736818163345219748088155183262347936",
                "237959258776028328847782283111728374872",
                "86353205481276431039265436698763219736",
                "55327864377773041135905731789655735391",
                "123625227428385591342808951452628971683",
                "275006298718213272186666311752475651097",
                "4968284141256831106349143245595582855",
                "230253872092019661655899269800623791658",
                "238481705661508482664933196735748672737",
                "172189173885558454281733031826513197031",
                "88466187115549809742696827515432698934",
                "51790060404004552701067435106208777520",
                "40000637468738696279303011561390993436",
                "142278241374001826079327108252505855555",
                "259825709311990342161796616837856721445",
                "32610143028529346282176581900079128623",
                "254102416824002489955883213935972975496",
                "226164276624590583600419123941241621062",
                "29909288069214830106692239153354878588",
                "187543169874102813565745968818594353731",
                "33344396081521701034929352098344363431",
                "156171808617147459084621199001103811618",
                "274947746797681042935504256698227684288",
                "148474649945005963610379363135609680723",
                "207202456243704559097699822165303000958",
                "159629289938196660366521813664252993427",
                "244511648730503351279692071070202154881",
                "88069234634459329882430016144872363315",
                "235197950614415266396805473418767123382",
                "21850899686314513224409417521023786929",
                "111360085304815619079721496106087838427",
                "87525596991597603351290846146418337679",
                "105853683751514545794400567477494626760",
                "175378823902785895215180690293439032405",
                "216835382364190021773625259186772982165",
                "44304122934741391114071762974518621554",
                "224791588794540636754797362572509943824",
                "152899598008937821386576884269208921649",
                "101770005136978201150549441990440762536",
                "299767038978199069094459949955495818657",
                "265202659638293178966861283598987792031",
                "82986220035157748632955723609610569607",
                "77747442493229253204485845076335341441",
                "210091410343716385792870600355815828657",
                "220444771016393102415937656692675814233",
                "169789962840513913408459943893174786920",
                "122392849883730883974901381500477430396",
                "226900643779082498070200433650988437867",
                "57659808184537416894369781767085082147",
                "167637175461909196131588706213764142040",
                "249956558287699285515339526590805063917",
                "251169369007746793439294394076190835354",
                "167839800151867362957049237159980010731",
                "188317286553574127094870422953695152461",
                "172754688803625505284364106521692788016",
                "196479204446111739607465335873841422376",
                "325798216199549743874499738337883104578",
                "78586084187654097658941076915099330424",
                "67644680382066223292362424728372496488",
                "340173534512573595480272662453204262463",
                "130010715225984951251893134351740018338",
                "156487865507491259075043262009527588700",
                "324146387183757342763444922796568341497",
                "219020667930601229251170904759041757498",
                "238120921801660615648518351004634822024",
                "160276052735670563960421938879189354122",
                "22105461624698281099589968041741491370",
                "149363367417318971427730404117410032841",
                "13069831468565260224208073525487499728",
                "157175872795300476455352203005451595137",
                "125560561160781630186158921385858807311",
                "264054208593291437875557802896076672969",
                "275173639913639769389480406211958370660",
                "167968461495376728885716139562189342771",
                "73981434594585995117671782687740071911",
                "217901735527067773211457435219105359180",
                "205287722796936907394620494798314055523",
                "255944722649484561706073269653483201356",
                "277053947134829264632695686646200866075",
                "177651646032216669814197493475243119549",
                "334805434122498981739780481781765686722",
                "177228048642557656742386055682349093248",
                "189456956854993720265904950146399526859",
                "243448339551547736962305185001160490268",
                "308810794257857184129566092395298682229",
                "294654459473862648340769578361869823012",
                "260386863236347077446799414633359304005",
                "13932534315453480812023537837189327732",
                "197229416392897039945102332839581625341",
                "193099570102979612236898077112669841276",
                "186643210447987190248462780600710919799",
                "135143674695518370621656210777128416053",
                "182148712691687614618764706370585250302",
                "80205184173339595685827814614869602996",
                "251907689688956975169189886777951141941",
                "333225653491769312183673998224249959632",
                "17846311579025639802768237390949225238",
                "81006925337922126134539805267317867121",
                "252724645048541179388269674856650124331",
                "275135550712334799108857368376379215687",
                "183608731788137842693806740143435711404",
                "196377540418415625632704836010100216911",
                "62373627968124812796077408342670169877",
                "100284440167194571278055111278195962606",
                "104010898712741035987538992760223532153",
                "20105742495082015589481968759243682297",
                "1480833562254258007444650085399218342",
                "278592995691626074135677193478078490169",
                "325777447278830706271786620107790214098",
                "297596795716393735841666025092267557239",
                "262237306698859950707306957964285201022",
                "63766096673371861641929774994827825477",
                "263376647927869591160069384593827940795",
                "203385960698580000077400182888118785951",
                "168402084687275331989946020268287558855",
                "263234099835548210825599467993189445598",
                "198247989500543018827595828122605568927",
                "109920218550116086046680940805878140201",
                "158323293960008965995900865111443862601",
                "185245904477017788965381923161245627020",
                "245584135413111938011179313507003925583",
                "46373487172626356928934742371680104519",
                "5741036000343003568211848407235557640",
                "31207029623354580990429774186670158949",
                "328138718740214289296969789088024967686",
                "263443689499159878306468061905278929592",
                "324286849366758355088836785279182859717",
                "109449011811373438716215086319196214133",
                "234466162692494061871310429815873861310",
                "337678144276585658406597168925781723206",
                "222051453267432316739833065608767790830",
                "267119352618681850996544203097677618587",
                "133372483815033822556290447516823737445",
                "262692573845298042712948810622917049880",
                "229624420799911702062520151284148789219",
                "307869355884539201765467445331296340205",
                "165922130198203253669137946553784299883",
                "166542266851668920326458255127802495924",
                "310492756489171631364472141789863119861",
                "201008802729974304825778780254767717095",
                "28614280443076203317507996597632026684",
                "323931194307517309021542047859951081188",
                "22156294825764574937186932179276521527",
                "165376601563064524247188590485677426805",
                "187350098257172502777673363802657163399",
                "310117443931872392380015665451201436693",
                "186519283210602771469723178023468456961",
                "150655014925352317739485596090275752524",
                "325061161768738536140852453542889955698",
                "200788716391861557796602016541625428559",
                "160979557054181489521364750980907745315",
                "157191363258663948816554942623222142198",
                "215937269540921139192858407118772684586",
                "78312997469396280738728013152426312377",
                "79779233837727644484344979283220309607",
                "176969907218780844586312001467425371069",
                "109441349098863819047071078879144696034",
                "285694168851399937134436313409924712392",
                "200097936842097695255765941229937090049",
                "207691120516450901031150987490820382725",
                "198543772152346219368755644559016520198",
                "216509515640346740671561393496022019921",
                "260738306287869086386029758518678028243",
                "312840259962267027422316181155099246771",
                "159494025732536739619497826170024521157",
                "87603212942447139294153422510908998620",
                "109566647302356657231534314062250573999",
                "256652428439044236375275686033246495885",
                "20668108827993738260100185645537473098",
                "186476854640487478085661751234549617195",
                "316990462259300328091998580359106199648",
                "142366343224968875416931746403212598469",
                "338605405811692235666058826252610415361",
                "319010487407241259097278451747026272970",
                "241774117903925081148900645733677270879",
                "27268071810910342564747367989043391156",
                "155636314160384581105947688756824707511",
                "87121299438870295500547025880918672603",
                "30514424491284060480746822300269646276",
                "122157056147186210589743558084448628663",
                "38987104093847991022361130951244707216",
                "123762324742687605790964671165261886658",
                "63552627023008798824011173108414119191",
                "135222723698757415383263664413992859345",
                "308343065043520337601307816758062030330",
                "235338892862126175218116893765595757921",
                "55113368053343440315524558480127699861",
                "98837806505053682308882177116484677673",
                "140681000440411156384798544159112123880",
                "46139935059136552637062108405866090476",
                "203217209302151586520578790559538066223",
                "262134252064530006493710162130617401495",
                "322935591814139872296375760565829522102",
                "102899124060651949596678951911483022934",
                "65533775343857218227079106748317078569",
                "318715568022605991658091614431954428876",
                "322675178193617111359270197120905216774",
                "141723149618700575155838288504458865755",
                "137898667439093294453342575925277107726",
                "200624876323109856745135432060986774277",
                "79623830486736317187510836097902251801",
                "258286511357191324741233717280749348501",
                "222366258649308712260838720544022647763",
                "292316812057449354379518788976016525750",
                "80083755808358336024338384677874623417",
                "144891439924870197014843879829172378233",
                "168134280541797069679090561333437936524",
                "75023465896713308744659928738322568893",
                "155175854965788897382587464782252505671",
                "251614364657387495900649872900331612055",
                "326188717978661556507978761373478238363",
                "220883937405846527535460148521696479858",
                "309502707269772803150051098116745333953",
                "33259019562332292643415996618842227720",
                "226085576036759911357368190056138616396",
                "108687370205693623427014718970400125070",
                "244382136029939556501870935654356920271",
                "248768152397374466215135712349480600028",
                "199507389541893292096982566655745813375",
                "337051028362666773866969878547797139223",
                "89508928442690120521317588440200795620",
                "233495884419157509368538205578326137175",
                "300206152311051432183729542669951848029",
                "298417903253431449620628651949211727080",
                "17563335624417144184272187535528325249",
                "299251021840658854753116085452812802813",
                "145003483402621688853472569615588928221",
                "194782472488192299551283636967385603131",
                "207075349271035716650673407588681858170",
                "5295010181307571782637504104123193414",
                "18914993340094651898310302005389077397",
                "249323381277347274826535831671757643906",
                "139775036356799198057834574697673044100",
                "111723442347402774448440077678514684903",
                "199791211786386660758936345780051321603",
                "186631112899088327997257537332524720255",
                "10838786284634715550390483262258348420",
                "44033995010000436770589626859490947664",
                "227646423404426220938488336629988295885",
                "66246287378455042991946495384508987940",
                "18876698164050039428741556341072047293",
                "291791341154178406352029822348632325307",
                "300677447934681604420357860838697213974",
                "82299491496157179159985652836847758846",
                "86295502189037073090286707450949259562",
                "85870898386676614762457120868194231380",
                "62054416811670725138377984377706426279",
                "100058282825490013056294524905329793160",
                "198267149737958976385763210906780767086",
                "338750341773665554900020854552927646365",
                "87245533408151965049604856800735317313",
                "153441492911060006610908631725908847663",
                "241371409748307667472172455477452632893",
                "56675374543658865450634626340967690988",
                "263542542965970314224880590815389285174",
                "278763828882772721217499994480369115929",
                "51086170800084605075835425690038752504",
                "77029286095077918704422860841770130441",
                "211050037242550291064142071047916184566",
                "136544381083033909803536197731774807611",
                "15772867807820971553328079090665459868",
                "21613951364868408933229514593855245766",
                "211616898337328912622308412895131565483",
                "44387282289169197181409883194610255092",
                "258961300795204093869799393546398669978",
                "273793497400469631476878202278193278931",
                "44653711299909479488167000887452166931",
                "160458799530347179054562692415381805556",
                "57824762440551213005035222197608096423",
                "156947474871846300414120373034567502249",
                "89533911672681151360472648137937217211",
                "1050749988891729371895149701885597535",
                "229005198619958855788576480611089942460",
                "45170975595005044377693468086700169543",
                "244873868072879289266179739072450988980",
                "237086869371855066456312935394907160564",
                "311137216949752515786360622339945713891",
                "264688729822695960110509881731002925309",
                "34809637816470614062071006049034158173",
                "58140413029640411925743698451300549941",
                "214832870968568716914694030192934280551",
                "40558483623575795720228519479401285306",
                "140789914504464010593587392814858274625",
                "12482226721552583401684749690199277154",
                "113282037199441026742480662721949835737",
                "251582292299271284844531270567854111777",
                "8825473445883736690118090881014865675",
                "277052581336760002003011128355890073948",
                "144233094692778386763603803153490971987",
                "43050169873559581611937472343894944329",
                "338188585958118602870545738811850017376",
                "293070116511577908432166121767572355135",
                "235255322743690183308215184537176059872",
                "175283286564992947463566841389257938375",
                "178025308635796171165698226154442532199",
                "273713404986659248070800004290468997069",
                "298805804345840842673871743893182678300",
                "288186845606288104647717762350456568422",
                "253926576133257673313423946440521062640",
                "135525938547911574564314792332291312985",
                "57833847015755785534646358692331670304",
                "57346270194986605283955719405304223393",
                "230069953663831144132735874866086489012",
                "99359492632752937643184675788921678620",
                "180207227424744449642253877727351101544",
                "217962029285256488661386576417681854815",
                "59423126759044967940883661327094217546",
                "292586839433984875326525367023390285936",
                "118312149854986016491268595699272962726",
                "197826646395580680848883166868574344612",
                "288482086932749999577262991578540507844",
                "331309276898340149851046369534765873169",
                "335766756626558152417143210346887206134",
                "271433030494421295963507942997321925562",
                "210434758439013852211826587678811117225",
                "330895796639407150668987141187894604765",
                "185726720139391363297127287587937695089",
                "164268335771266273783421818192683259936",
                "10676187501315365004661198876316099140",
                "182518337484029946381104536267756884852",
                "86255378343345797021266587812334038605",
                "73822482143223333131574690369008331063",
                "319379122500493616783673098989079385784",
                "120302760099858769229377709038816284869",
                "2149056082412361984137670896352641025",
                "42501437480502539295641291471081996652",
                "240476321844737389606293964338103720825",
                "326698366948164722791575944282592052891",
                "97639774530172485562725429983845835679",
                "329030502554926289784651848855724177380",
                "100885229325253418634992382042857393326",
                "28947814095134193082707500850870158904",
                "185671897107173729202872778932812307027",
                "383675900203112846817066215166911725",
                "209115397574040376905112542787445546482",
                "328436805504584789833432599303395658563",
                "62327904802959401801845279388199279095",
                "131934029898495364011876780132563262901",
                "277444681600415591614572607614188345067",
                "230449449042749173695812295576088535506",
                "77778078158611436204712495311935406147",
                "134775927280068901129072458287792276959",
                "211603639524334762662839872229579703033",
                "96430114326732788725920522361556732076",
                "308535213166774470995452032871116864014",
                "320344705548458787962974031106256305540",
                "273844598022555082719075184628373579156",
                "38329805281385709910153355220415763095",
                "198121873622198590074879047620647489562",
                "274389502952370496699260757740974937666",
                "319522547011339516446136701996423133809",
                "107272921292553368265865584318462704038",
                "144159034263504685966027265401479573922",
                "292887117596877660423163441757287831858",
                "181888720068721545428639431991144385108",
                "320394349225694542640694552024202843858",
                "26779244800835380828551384545689856230",
                "36340681923225148288549997799090913507",
                "315701222309361484146120041795317691696",
                "34088357305578318899513900130535569167",
                "223034182121272930867214432019998983872",
                "39238143130751025621243728374828362327",
                "192061018924921926651178741155121366435",
                "164787578099493449646406894571023088766",
                "29695256118618741907453876344851324294",
                "257247594800971324621616674455578521603",
                "190263802502275697833936767098742606097",
                "89324547189766321076425837840783201711",
                "268717950859477318996626790381356917413",
                "310165947860170940232381042649266393220",
                "11122100967536360588821018525480539479",
                "229981354343827835868560262164520629866",
                "88873043997004924927030122578066805529",
                "2193391971253540033981503654838239345",
                "312141815778849154491420854024786109739",
                "105471329828830136804336865715271604325",
                "321869367751359190626867609337583058041",
                "108437885591711299868667235525416213790",
                "25798579990236184648137759125461462409",
                "333589387332344868230026773883408492558",
                "109445108029254587671517966040279206753",
                "303139637772659795574095622327454052907",
                "268042601680752754989986755437217859840",
                "188437819065122497111116360625857899215",
                "246490765067158767172844235064994701674",
                "207217172978599371371545444540243339678",
                "65479454343496401625094976213526769696",
                "174831415989326257034636586719457246823",
                "124814014368458957270705296418134662036",
                "8036744479327536792250574022321525378",
                "274025748687481829999547917057741112844",
                "333570410160342155541302262363246000865",
                "120864367346048105881083898797723570194",
                "7556233288842966692550083673995099652",
                "227333584601260884280667554671461054006",
                "87348858418886002969890541660074194330",
                "20280645353148087915734672884971521667",
                "275787391606809960934002364819334011208",
                "20524487916960100471951247808998501812",
                "226486401752278764942454765144396767339",
                "138624681781007037132766273969694381106",
                "299701495144590335655321016780192243778",
                "97879077507544983010897408227062776524",
                "168088588998957568641777629277900435664",
                "4922692332802211000542293255522999143",
                "125003552578437608901232667974288130822",
                "60011732330690021726214871146977364490",
                "279789555716022576445387738836262637047",
                "210754141067269794763200072679551984850",
                "142994860717080271084904634737368181229",
                "265634296478404741870828991398592350781",
                "315527455272147344480611313204286989941",
                "262299836698921768802307852755092542917",
                "20573087243114180596454944826226731274",
                "298983556995716537155361602314707955379",
                "43924233450865414053298747607385170952",
                "246940648510260139714722829588148557100",
                "324292264578106973034173311311893418677",
                "94356631752573186378495756520711848574",
                "83367404774930016837147793070728511024",
                "97076653417944685076699346864671611121",
                "13186217091486185163609204271814295763",
                "168260931889529870060303613619084900393",
                "131539583554096523043494121968226087618",
                "125417693591583161491985447866418963382",
                "149740536516463308254114866533570848474",
                "36682008538796666036170338388585135878",
                "159490718992839723061453442445280701065",
                "148956846158860891559186784577183068811",
                "330533547185624362147666809179237919206",
                "216693811604868611494678126089840257471",
                "236749815275674361177395762566508653197",
                "200467392817000561904472542923733446684",
                "334460162150681115423757906360600364053",
                "316769451532385898206360300410638982168",
                "291252947299595301992991518857118796500",
                "306373470467440726556663839966741227634",
                "157841793113955045991787875007754013254",
                "310268131600814103779682582472171520337",
                "119065161922243791737975913256003890925",
                "126245842738453203211223860751215180835",
                "102788480394884167740247719475965112241",
                "209055694097552480742739827284020686347",
                "177974662108947373859949373751055617721",
                "209681445989599662726470383202499783000",
                "101447773949672623184932143525787621543",
                "123825750562663486456278162294053235696",
                "107661057930293109690219161797070749220",
                "17434570147633906428944557698391218034",
                "31701185515817058557954929037172058315",
                "87166475951252789996041833976494403427",
                "113685021569633491037120018574385482961",
                "244671594000239790132542268148445178572",
                "157559944898963814022342834687907265195",
                "339632963362312929390743630670203048509",
                "38607005199254876953602052769936361836",
                "51873983836249377287400427300876763069",
                "158327650839938369743494745642208310868",
                "123810834600036137313557290997684859191",
                "155169815948474905520615128104028771052",
                "32664808082188730249202674130137912978",
                "126724065486945030369805706424111565850",
                "105616490790999332448430086289013782426",
                "299233314910163653813345568808696294541",
                "73365191250133080431936691953553394218",
                "128446162124884668132375083442214892174",
                "196204235338691150011059081797646310161",
                "330078761887832907277488148369935371596",
                "120977261712631517702113280496214834224",
                "198561994562527950000432236471806513242",
                "69026268921316281468487681631219640101",
                "311961509788039512198399646102162043914",
                "244548194103358646132800260224516677684",
                "191494633678548583506033237203668371682",
                "50481522300838230042971082505538747680",
                "193348001977933845324423081811110823423",
                "339940372060316490554716941160980649106",
                "325725568548945879210560310411369843704",
                "295823254504797848944061699556093538210",
                "262852196672578465328995996924306106289",
                "258201169908120384257699623920560886320",
                "102449724444892752451987640134477657865",
                "189821707860443330068442751628767577102",
                "20154451029156760196923808919480543752",
                "43416240674361226657504907127694098089",
                "29861649876272824293141669079668303274",
                "194820722325390100311402704057659494474",
                "194046760512139360485203079711046776053",
                "117655358024060113298239298034606306756",
                "84815493936520227535758989015624926760",
                "248341162353229520445886902894955198228",
                "113628949677009654928971453572880965495",
                "319417152444030553370368441137914237685",
                "189029294028064322022271637983230761461",
                "320545130619735441599940452488482560270",
                "146042714993866852520533876487288600039",
                "336192434559177046856871519466078012499",
                "279023921912004881192758028891333602379",
                "315615566189172414872991506805120016056",
                "274452483150003142305581059763221111460",
                "163052299418999325209764297235334471139",
                "180614362382511667137718651590287293623",
                "178008185936667079954500245328282603608",
                "187554598120285810883185414125393545171",
                "336168291053278904151721904798476083012",
                "334942987501334353389153425309650211632",
                "219783061494843588301520590594196350985",
                "144312722623577871541231946077318563903",
                "19872305449343392405139863508308931821",
                "300678635685156526677828370699136925301",
                "23248363535408634045519745425349188196",
                "38728738320337087512703368486972960588",
                "112736970618596370528973346425311897962",
                "165062954196474646899042562672298844266",
                "234506666640527393696255639831658012379",
                "336820916773631782367410707820792561937",
                "261559599886472540477831272814360286496",
                "182775357907354025737461624260417769986",
                "154874855214724344998025070696772171952",
                "196330813923879720020219957658218641546",
                "326165212890921089225164574539541566267",
                "6498884830151283813976414929068654681",
                "101551455011879131476476383704821312187",
                "139003029594881240669141356852802665404",
                "20204383137930120225992302620531238274",
                "148425475415089548201978395417718594265",
                "141114149817559585581163774233654130244",
                "148664389100413257833346242187242401343",
                "315799999996195851588370566278350886337",
                "120921185671391403936374610716889173481",
                "167054930458975160992932117431104418989",
                "9798207137642306798321261315427916672",
                "80039597582566489923900626276218001499",
                "329204467668616061753386741449295498858",
                "11745438829572540793606631037331507368",
                "67368139623561991446282854669569062432",
                "269928756067178303018998161129173885658",
                "35685521815024262377487667493828432064",
                "218393777131314454069479604051281846765",
                "23699612788978389113371586027652129866",
                "123645765021031862383977978314006358612",
                "137398321263843049384051199755422015111",
                "71748858200870285216488936981095701400",
                "74004429242552003048367598296570007406",
                "99690190028262860023038633710428941128",
                "128446632445790508795898454547476557047",
                "109033084980650332631254481686399619863",
                "303542380723743631969027751356011030710",
                "14869604179524559377591531051413271",
                "108469940704198734933377493001358377142",
                "293462743952598395162139217819660038888",
                "52027836625672684361307047301024826529",
                "97706690475712423115696067415276014151",
                "5409715559229019242304069458262772099",
                "42032683481174414461133068486283278930",
                "165741156838283710613655473421032043911",
                "305668340684102624117576283432793358872",
                "248449878926671820292442516953584477778",
                "247141325058281113710415235995117674838",
                "9918654592045620208040987232586986520",
                "328186564677853609555305659049344123554",
                "107096108245321764592682471094115345483",
                "287876958189164458157984471243154940466",
                "154564927496873635747818933473416847150",
                "97464703152370544572969571540859165262",
                "222567075761589850023801457294878401757",
                "5121870130244236521093215613553007009",
                "123395397239643713444023134678785066183",
                "149245292883338805678824382064409581044",
                "190191424804247668709225671256504154629",
                "232149649106192890620349823463473745497",
                "48858085275690849820048567439168966360",
                "280672180419082644403155436833140060873",
                "144284564811901037705953962513816611844",
                "331158365591906367417146903438459165935",
                "118691558876627663232872332281929517988",
                "160282789255132645539937955494627523448",
                "163975939760249629150150991741534932270",
                "110308011333406016769516275541401611989",
                "206141673153321232579528045397808113983",
                "30558324343417291350283899054484888749",
                "244470336533227002541365744610114805585",
                "60016006189540559549216534771188927207",
                "291848337503583273656735491094597978981",
                "239215487438540756273593607444327710018",
                "299218146216424910659873624793326374659",
                "209909564070618292903475176086140311434",
                "204285269813330164611517884620261215921",
                "31731823550802722576873374436118666110",
                "258206007619979440151436127270171975062",
                "99651060333321647111788998826102568648",
                "252087309696294338725366361422001797955",
                "74878564619214888500850409906596889008",
                "316366452165280672675690067559709138808",
                "271433395208708429967529985892240883512",
                "142995956856785582750698575669672655707",
                "138067291544944865559882940327568635001",
                "91374180002129707015585909838404100572",
                "324042949679206707011285675304249609796",
                "37346175638083010649523741910834464180",
                "279160461757043612131133291709066439260",
                "173259029954308708519364622426799321224",
                "260823246463028670859681292226373972909",
                "40197494920153051929021758513138900937",
                "163475251684720419191874165670820616401",
                "132734287011614980830228458999582562788",
                "247820391761145007776229723243774774251",
                "131153847452006681547637052482845163290",
                "79658388835625967438286921085516630256",
                "198943224425377739056760058904509951721",
                "167414641732318236266599757032189291299",
                "53569424923287577760692105573986675809",
                "250345248387488906662865199340864014212",
                "323040179996886410512302877031610296071",
                "249839299146187491314048652747680041574",
                "50912243816977136641099469368205133089",
                "65330209056172531341248011648492926407",
                "125275845490709816007047281032976449857",
                "52247783818771955959161783854578556050",
                "27318248710016630530574021172229195433",
                "6335388024579369276231336287389437856",
                "262261314906514166261750411689834639058",
                "148546825166249400308696661286839660680",
                "331453716606927632180968312753274385768",
                "131181700040775524202841402345255380446",
                "167063494699691175092182676200894317157",
                "34421217352628556010764197719828490793",
                "173866384243666784783431809411815016477",
                "215273738623549792240656318636707736388",
                "272433021431565253234171475162104560097",
                "122709753034525119967914687179776447155",
                "151620211270196193400917567735972571449",
                "9118754853165163096898260420942003974",
                "247368625471484295380684166962801954743",
                "235913471144303746728178572933804611533",
                "177345113532280541533351105836773304478",
                "57588156185037543883124581548161719266",
                "203667785467195235155861533469998659118",
                "110118637876929129008004351866802295161",
                "283431031976999840921594204037392241839",
                "194430344864786863236584526108948800432",
                "208101478286738430185838454684366887257",
                "163149605030332458807641974205455370022",
                "218562788478020697708779269080377567511",
                "52173498195268944585227372838952729662",
                "187831493381735171316943478788179058453",
                "84947256474993960774597965617620979407",
                "136700904730714461152596393790635220875",
                "323465172880140909523222510773840379896",
                "59739375062848117877743781894614673522",
                "210295262879123046819117406096102185328",
                "99684141945099127354744618054904370489",
                "72169614209026620860005061769357280386",
                "31576325227191440360921199876588583844",
                "197934925057985040116774176890272398678",
                "333545022063120643900832936442429691138",
                "272796719331342785223827294433444879156",
                "107990783123426665009063007492851804281",
                "243847429071065552653277141724284318979",
                "206101503997874672181892788853386825830",
                "169249497341436529428310226325826690589",
                "147858201563683069702869693724052201082",
                "279104050655278924472810769908529190501",
                "139282302849836696838145620922528643386",
                "301974187222688578779718148226257121043",
                "31604756000110552078835268587535372245",
                "67059951755241294730970032136477824268",
                "256290063738546193685258383025388440595",
                "265764072093260182246295732859183935516",
                "89858488788350293482759161609463920050",
                "134544243402486126781955847707059126310",
                "326132871113294133888582615421849668076",
                "159681111662577040556174389088844038567",
                "49983180195759416992665979456445309176",
                "319306381699849766183892987878807920622",
                "178687778124420112818874040679079170843",
                "226427337213365884118117142320064158019",
                "233371422471193166802710398893717045351",
                "312315423189882196861062509936982896940",
                "213775420814444450161298412302727810554",
                "51161176920777953396197189533602138166",
                "164201716332662669143337997698820253706",
                "152638280095468782775328913884738844594",
                "149614693648135614023794860303261531470",
                "260135884228952846812208244886123908451",
                "210807471264888456186467880427575108921",
                "296336078438530119638622631295636889656",
                "96909576726506292428140686840041375348",
                "193723795881722739868857057568694455799",
                "317890162376403228378350618818464517792",
                "216368478416856888150004160272073380534",
                "200119038514092253414884893398330466174",
                "12226340360508193095893117117485019972",
                "40606639719785994416114095128671900902",
                "146124962669629776513987928265152117854",
                "242286104196271613936072459694648996678",
                "142838908957440360796138215813593840944",
                "54805945998591713156536106656185770129",
                "128687315137058989332137481547850134173",
                "330522120441122690517591958169119575126",
                "43057545055393225904872549003098600072",
                "273754817852862397656257683566341854304",
                "16631169283043171639754563574718000516",
                "120671317709180236154172567278597006505",
                "153137529563002621404870440776938319939",
                "161103135017520308987702484782604628770",
                "203786871675971832070073773873826512766",
                "103559425877521084194600042114102873750",
                "313741848351003890783003824458825729879",
                "113042400601514710030720774288332862365",
                "253637569028748893929840318659500533555",
                "143736835223758216626861475051835593528",
                "67886980614899003869572984853644387263",
                "178886354926307306093706959760722713256",
                "50930764810918961180352739556193934653",
                "177988835266626195840669768657879057586",
                "159360198580764119341341521553848356885",
                "123495678428606956708514743949019665997",
                "132662227062007394893807963602410001005",
                "66523209383633352067914239081865658579",
                "138870099317374646667043960865853532429",
                "314842769101550085282623497834910677757",
                "308059759810941448438387071306609193023",
                "62030007218431211682301696153001906404",
                "82686994645119347910905202802655245141",
                "313700377488522759589988547194360785074",
                "273780588117616945661654055548319902832",
                "226350902145678875083729810708514332666",
                "236205878225467383645271177443606013447",
                "109307369295362003698057385681362015982",
                "90479410248964234437100645609698770379",
                "207248472637530014236078189003124967205",
                "251414292516145223635687914633529492984",
                "94184023187233929565108519288793119731",
                "247735485933965313425078139037241278171",
                "74973532049212127028857805037613160980",
                "220861297317755825804336771719901555495",
                "221036271464837727451542133887147706320",
                "219222030472239347379902058126687819715",
                "328836964565542178898226324535785498774",
                "157775068531834419971120476840351398512",
                "103738353827302311789341458046980667243",
                "68750182862790082562114304916484683860",
                "36617457136023259489691644501741108336",
                "207765495102508639273446487400500258412",
                "276450842389908744084691657478282192483",
                "288453067882615838501242763303542925635",
                "279235689735287685610391169971985318119",
                "132141213091301693859254732804277297668",
                "322777949841812643730634547794439885142",
                "284854651211910561654321586985530350911",
                "137087000924949334546522960232542789199",
                "299495146008870551634842350211389129482",
                "161805331208247464530155980483861632911",
                "250866879687038690204324401197720978930",
                "285438505256190112315487635815608191205",
                "111879612296863737967957535803127933259",
                "170190589602059298709886395320987458671",
                "46918367986996762638902750170539688561",
                "237670283074660450300494015281760194209",
                "320019054979816198136087982662568941726",
                "246786108658158280991790372545655020132",
                "286134399754583991470939672025880870211",
                "132503915136771599032880709134422373390",
                "58552768641869880475095239835497466546",
                "222008329671975686849178299500394261745",
                "66248815444516421149502375853782542556",
                "262806671680145730575854308608817826340",
                "260628847700703578036855689660042766000",
                "237740855305042219580123861190477393166",
                "85661628514704818456321109642942012932",
                "297065097046636032908285782748125459345",
                "321535218876712843130059412381023386277",
                "46675999894560330621463528413595340274",
                "264199255103348020271470236241626275817",
                "38022995514330697241023113176446727697",
                "60957604943052591103211504724432859869",
                "129279961767786992246134872933698768005",
                "103173434041018310873093717856014835786",
                "80604386896318272283513527732325821062",
                "141618639235182664440964014981522269106",
                "41747878637170743226336886485281806355",
                "41121368805549728798143423759388698398",
                "222169565077480686294750910248648402399",
                "232232208025000247927101938986153050705",
                "78058678633746823420986698318196634576",
                "165447918566394913110355731619058591458",
                "37403445431276166159601891558983924880",
                "43563410451325393912403740323261278093",
                "283811044273958153120724906903234929123",
                "263023740359563237903796299751544596325",
                "51166598674079943840165026319006239167",
                "121128934573472352218916321343588212261",
                "115735747623151796083083619260797927364",
                "241369428009960420776156727969983732985",
                "86955656307739443839747752101281393178",
                "265907108025334100609449114225151046233",
                "248058583235927253365558313532758902399",
                "299517038734804428534849603148732335442",
                "99507247302375637751243282277640533868",
                "317886950951498705883023956383365240715",
                "174535126318164777648330709991883775889",
                "168034978004721188613960378855363802658",
                "159421428846410560818628969703152426888",
                "65595377662753336802002310679263549573",
                "28764549922130466406043891182495415790",
                "123396722736851591764585481669529945695",
                "134353687692481402120690854331334686721",
                "62000393398234717639613967340034485818",
                "90956906022904686200648882978697639368",
                "304855899597322844042875866036311545509",
                "64805843274381441594321753040150351737",
                "63892423962771291370651206659736376290",
                "29552551883240093659173026609597107352",
                "180138351835960157408579813583935574808",
                "65624832686335664471735522099059891144",
                "204035890698660811091838804058838218090",
                "125204184390180951401500084881411074339",
                "118879998861125356483138128138164930257",
                "193935756908739817305476613032633988049",
                "291992547060238318966505301589810367319",
                "158993712650060017470902758557625079303",
                "163458922624330202899931703133635317442",
                "50481923999269318305541763022101171921",
                "307974869735994034393863907496015801813",
                "53134884604247571317255849843051017458",
                "160862952422851596295179531694126429887",
                "90643224657320740053191367335879930271",
                "42864791664581537199890829691005266378",
                "124046120019512568178467901259327277032",
                "318816824773323693244016422093802441143",
                "30171199581266380785603490294979906534",
                "336778059643266029115914162785366122341",
                "157212186566205536677181473617866699115",
                "304132123191210790516109230374979479970",
                "240792641283175999762398671880481166387",
                "178800751925951203410862147184739601224",
                "24776587238870065978664151949262395894",
                "264242589275396580405371057220311157968",
                "175078258394680863991530451923496596899",
                "338971328625983888173710242471345521847",
                "238678901706363094822403071308840412423",
                "177323583839957899353333230589597220054",
                "287350029499170759080676454777065897031",
                "321006388945097089526304572011318423672",
                "173578411505869131242512041030169039041",
                "71402590946827837081908835582988750262",
                "39443236992692334991867669655546826781",
                "184732844700373558891283871961893087581",
                "251742896688179750483131018317124767746",
                "172611360695752117278172501712029217712",
                "310101617064793697859865683761049995474",
                "73484024285252200509084235551520843263",
                "206849195006504297596339366094627577835",
                "321950185814182037288480156445707798192",
                "252690577422402024905985593829898411134",
                "166821148443227875101574863063180234518",
                "15989879336503567460333206305237859017",
                "272240953224849943631277261423300718362",
                "40360777490637475109754758632499995370",
                "289431552823900668135292484021724742039",
                "16710998391437857295736816665511205520",
                "186265802201765935770880305881501585022",
                "80375155333957726540869409497522823040",
                "269823408971410892462341541428723012958",
                "243025105042536063252165220819359140840",
                "36082327108594182115557226379556932285",
                "20014916015539981992513217841354356624",
                "127289583282030703974487029249136156805",
                "255420702796326237716718504218715285360",
                "67970714483292009933675767277562976592",
                "180175065717067729786325458040758584478",
                "4951413314628313782353344277475955869",
                "82730410126466258235281881124312357874",
                "329355091451794983354937581672692851233",
                "38174515864587710059683770062076316014",
                "126016388398846007463648153702885267271",
                "51637850751096528209672952290996089786",
                "6180797142460307595451474271567048684",
                "109862362048204451845521919509894696078",
                "232081789469938724905620099310762264916",
                "115301063995331802300352931998839627620",
                "46627271965638459369083783374560707401",
                "229682588824282709986506000783314441725",
                "242998463793413567501207270279269035305",
                "56121292972577384326748358028753637711",
                "127412401834735466576178949596557917042",
                "161645000695353377184617632652105782337",
                "66675470569149690907931726834627042577",
                "290736755308702964074469577938627987594",
                "235294183220437897477321831249839584283",
                "149266540294224986465060576625381032455",
                "29683508013431673710381077235885221930",
                "6690274063875493099996698590523768202",
                "315892261920891260850282967945071009512",
                "86682292908346787766524991699841011050",
                "222107371921658077812693792785712742561",
                "114556730763722830175673280185007293681",
                "180752384754438048768838376902426331982",
                "6288649693120837810781695313679450823",
                "204286251246198094862543582653319428600",
                "205663010657112758608808997608873410068",
                "282048698581802001156523525671708930792",
                "266528424534661903621203443576791496395",
                "293304904682746889646351308884370089497",
                "258019878415539613649046877984005169259",
                "323096661297074515145670176490459078815",
                "218003670009330357609228895487460356843",
                "164169802989063671476803548255384407176",
                "2537262958143220053581569670810999283",
                "21701861049247515201445016287791809848",
                "264092056351016782362833120787431438709",
                "88001828457658685406830301221247289670",
                "261774620022730946938174880729470849003",
                "96300234959682277860852934086473386230",
                "245620658725192105190713936424377179794",
                "3305864628408446873441080220749544554",
                "106177975876895164557538860530466499185",
                "337631481087777606445051693377793899990",
                "118610538423348807751643526962681161386",
                "194149669975701085748633531704746943913",
                "275188749823837034043541484129603065954",
                "42527550213849015180425457389485574021",
                "148344750517288053590561582531698140966",
                "281158237341599513313325925288093876619",
                "143997361905143879998354618051676470194",
                "241213790510928733519804476784137994550",
                "314391672227101102271564777953719917989",
                "17555288276196063970795012726297279322",
                "82451241020122622185766899268285548892",
                "28568762014153667638265510688844685360",
                "128905050856340779080768319787427571516",
                "75149031917374965859731846828440342972",
                "1696390119804740188540663878368117751",
                "285904076314540101974185837760629538094",
                "138205941383649224133608653956385500256",
                "79997575861814831474155336391030292753",
                "296211854249412726652487761380679835321",
                "183658917220453742717318558778347749430",
                "315927007349733535394481189476756215996",
                "22147002794028820797075719791078530837",
                "61726430106084994479873639168602501509",
                "271554202002978805637661797294044348444",
                "318311666758829900115467993372147297843",
                "298745890809128647415093464008276782145",
                "107988712179514663200878609240397389560",
                "64994177786665563655756587965102728806",
                "315638801693064770371240822491266221769",
                "73697262289651198978471038446916239884",
                "255002534299534067959130428483847753789",
                "283059882299927613126747972706025287932",
                "308900532420032233462296042814333434617",
                "284267461734778603458389137061538853823",
                "179628363485814265838426546850431435765",
                "75370133237721766888745564979791742956",
                "187761070506301747663821851119658693869",
                "241977594104986154726739917769235299264",
                "198576687275934927978072663662347884318",
                "96296583412946104145478824661247619251",
                "105920313043254762721625189790105240222",
                "73418260116548119515353653478050998096",
                "205046540423945968378590448584789624105",
                "164213681398880376048006521010947477271",
                "142662577529477398681583261670703776715",
                "261612474516511107020396196392084573627",
                "163087159469571158897098122354534592741",
                "191054820132186565934507624217996530326",
                "77713753707685549598461867914132731495",
                "128573235933818030360743733311909815433",
                "83917645426894333773454035176071064823",
                "262598657300434562338988913270708360512",
                "315226157886871367110573235143316158329",
                "335930715695166091569220284005652749538",
                "254885399411527690850213096531873843577",
                "249774061680796548056172361009431177996",
                "269511816714083751410144152397137648620",
                "93380380479206851691779074801588008072",
                "250406172200593079954585837672210956740",
                "147149198501490931320570876298890486629",
                "271263567557098970953187740482791347495",
                "192007573998931669870820306112428006307",
                "62346234774381052463529072675598302474",
                "106395741664654636220432991204822485701",
                "259786766737327552975630216508866997103",
                "118698429264832437140916605595388217932",
                "314303807340355264250577862802096901424",
                "256351840063647557201961339196251347181",
                "71123983839840605592716152746499256050",
                "310118419141255952877384118842019950029",
                "29888106303238889967391766941972738353",
                "44376939493442537720067844540753675239",
                "211703929007343960793150320381300758837",
                "177135472982481479911428882190272641781",
                "310786127256474644670790467445774043712",
                "309177842662893148662113229801648207994",
                "158964100211440197750442189485983285687",
                "95185743809272665987459192949060911628",
                "45319823842211045035728662345696579064",
                "165450034673580453300356273960712851130",
                "195202941852756015162653616258977058487",
                "249358092029758517783279043068230838501",
                "334514368989323226806813757947450399120",
                "308244800255334131585040568957047168847",
                "336756147054152100555235910444904661009",
                "293654377081752399415315811655870824161",
                "130304631869977663207885697475712080913",
                "177671650840020587444851091475967653323",
                "294416407052005093528417181630580866522",
                "336988621150319430818419611740746558620",
                "208252983043545425565514938827709907905",
                "2654880799704185430193293142741566653",
                "61523253622828580416853144499666265930",
                "193824769010432608053752410410550562236",
                "192729678678584130413753005324843858902",
                "156253425011826633059728671918457884624",
                "207583911377845713042973735774303473242",
                "38037805735980164825005091473956914307",
                "72910136539807676109499617462251137265",
                "75572988667124372067720138528592312883",
                "322354573800187578918977906087239549327",
                "47895911850009608328796085111656932611",
                "145510227215440680052420643969060854560",
                "192611108264166751336360572853437472808",
                "316856556952273975373624108629203750873",
                "157846845267998470633235179239085567683",
                "45159135668340798274214738370564759972",
                "230445803266988954785769878990982700662",
                "239513394126571163473440109511630815961",
                "232116993816864527389389723157525368272",
                "182019695337139163989319076991092353861",
                "50889312484995030353462519725636074788",
                "284143942370897094797684318408084222985",
                "217367219972127910037355396998913306590",
                "64139426450739583296830322683140894723",
                "106878644412077515651772670582793321176",
                "136332454612583040410740761981384794061",
                "254204426187326025983239905567456898399",
                "19547111424086281761798994171454373464",
                "188088376737891542659378280633919851818",
                "276405665574113383732958136031782761924",
                "185967363448972165513498706306511180260",
                "189433522860495461869273778213188367367",
                "183115089928731882313184950775169857300",
                "170018872834673782012850027652111133207",
                "188539899929934274408081892406701913948",
                "274713044844609740508041744949386211226",
                "205254778818447405843559564531699408991",
                "144581814080043893878920289174913925455",
                "319509223007399941043093183818828266071",
                "5003977937112621617668365636320716870",
                "142216731910506915865984710317033025640",
                "134152853412924277559399932604642601172",
                "224604148139691644311457706768305523650",
                "285108482417388382951836833138612893295",
                "303078618515825437766413232307184112596",
                "323354075130496538127195518240173443156",
                "7240835563816748252375250270158061615",
                "136327365626758511012941759273322812480",
                "201549641587704772267325870591798728762",
                "6187406705701031425119429634253755204",
                "167361395518735669427044930872237763003",
                "146507875023600287276761034649029926730",
                "126944343998704504849498087451539415092",
                "72590029029937984120727607515993733078",
                "4740595372539391222073080715899995076",
                "135595341597775482152425207119784024137",
                "328530844878250169812860006193602006543",
                "98183709471116039957861799388407635838",
                "206417163135251092741966199544930267191",
                "256778039415318616226595824327266170325",
                "234055739946005205016708500002838811949",
                "188556776478243777863205213662986520730",
                "107633653983832804837272987656435873700",
                "305273489666234736388108268588935521862",
                "165110071348389784587037489302773143272",
                "188443919372196736927040268008365240344",
                "256301248797911605466072559627744693265",
                "7136244000672410214939822479292767423",
                "3306333878896986785961856108460152606",
                "18434370747012533808879113646683989024",
                "161917450225528905709849865982816470918",
                "172327740815877716525963806103264052042",
                "68808793560765538390079015098139038001",
                "289128121762250328054651300722902861751",
                "18777440722647275332421275430407021845",
                "275176575930778191487682062801824129347",
                "326820715957990939397561881014295965697",
                "175406772867389167664042461517259006349",
                "110203719696442826249438794928331126060",
                "257857112718589797185786038374772048945",
                "141586872830262563974523586094508682936",
                "238384746303115402384440299063411746025",
                "337832495522269168990147133438715426145",
                "142057416246862161945323035221070573883",
                "64180176611743027130798882641584184822",
                "297070999552748943406862675796251790523",
                "255589037272178899210826241630236135840",
                "217193025732711194794137532048655478736",
                "243484358577430003407067088881739646892",
                "243914261309972334795063136146627839461",
                "255500379939520557754878734437029870444",
                "106134145314194225870325808472522587024",
                "95936656453196003840863867909158699266",
                "188324043033503729508365416869921949617",
                "191273023979020031592464664456852483274",
                "272615420512687791904393972966119725149",
                "165238752373802655873196319247935645685",
                "65493196469005021811504527404368573824",
                "198489222786452669932900696141340453821",
                "161876152363333175861580006413864117033",
                "162202997682648874641789067930541299847",
                "64639413900753512605404642887003379353",
                "237430803458412192525648143673592494642",
                "143594997849081043013908143358718026411",
                "101360782739743779555097366888100019379",
                "119185143033927932792634622697005530306",
                "187581423659748785272710657780585055735",
                "292277659539984624238642446363795426530",
                "3411384885514431511178060043969773932",
                "321880332711709121581956428114561408345",
                "96508016130312928267357038299232832305",
                "110709174749886030974614690346951790595",
                "205978377026355525587156762553188756990",
                "290850377928342302839592500629746366275",
                "157965110207141865120422049342035804627",
                "338354069567828455565957900414622628188",
                "302220099165540948243338949337268760139",
                "122166628244959282871166452896324668545",
                "288091347898143875489287034954945424246",
                "66195859360337933373143743361920754817",
                "326141626618225573328802849265268099492",
                "75996884659457737185514786994059436404",
                "80397000875006661082725424689956141696",
                "336745610764753061542739898090263301134",
                "165324476062958405219105014871436598928",
                "242016193752184257818088991085984617557",
                "289972790358311090796897461546726387699",
                "169925780076092649625547963637946521015",
                "282255306115146833813692573639882036294",
                "334655344561091740043312064630332452607",
                "178431312020662081992665468155681677621",
                "217913925384021234063393319401152374339",
                "94168014940560296465420864327372714199",
                "317971462696105002943717988344674016444",
                "47520317395026119744396461519347323449",
                "77260820962597254829817785339277446451",
                "300216547721336984349544882537646447803",
                "254168571681456574184889663362932556998",
                "235424249114881929921886567212096930979",
                "52783791871650475144341367339347524196",
                "51165514450703087728776213103812565799",
                "7225022616273722544954588313693834479",
                "98473563748448868475309176165934891387",
                "3805381782371333404022453545978466293",
                "144273153662749640599908738038278990830",
                "300155603438704807695671881494465687288",
                "102415168844344588847600828645486005432",
                "33576993009766321703297153215555143167",
                "182001470539913407489685201565182340706",
                "173267866226495612495454260723550142332",
                "238816187009885464481091160029891138670",
                "305722594614476117982843936813199265665",
                "169736941284222085695856092205134398666",
                "190974418082477941400294113305110978018",
                "181774430997881495805969873401365325088",
                "210783058677816439420895175080425440590",
                "310313237186811412931351236554591962863",
                "39353473066323838996617516056480923028",
                "30152558438093509760886104385679026326",
                "276371260142227926707965731235607463426",
                "101454076346402254335699585507010110824",
                "316523210794324796552368983583924984254",
                "336605777513829198459762764861078440917",
                "235539029627022642501783467918160211477",
                "60599789634632258949484656559923391226",
                "108607799539882782502796591602019706339",
                "210424523968151476299666950784953927028",
                "245704501537628579181032719378306526619",
                "208647481681226800084025189450236742044",
                "209455461540791915211937705281528654069",
                "321480408305331684025377160264856179719",
                "329105570561213460951187836064309736537",
                "339191096617118766309969894432150750716",
                "52499450673508783399394612111425456811",
                "46481735246610879407851069470834310724",
                "246047490444436465642570504003590212464",
                "281727877261997138174584959460244173912",
                "169537721841780009291931647752733702165",
                "17463964021026758522567145965879156495",
                "285416655100564856117809203883017643578",
                "294768529972338110005221061528203833379",
                "117327400274874174995249815091618602620",
                "183311117568186937725028751266102166709",
                "277816855108836931693433261171178713093",
                "250839915504760111042078188071251169782",
                "334267971260308969245622647289354412678",
                "3456154387740075622153641633921459983",
                "125508170289618232143102976189218950973",
                "345799499169856287867690790985976347",
                "146681064587290742568311381123511318641",
                "165799039520400540374943009314284756514",
                "12133567030552501741669851867726129833",
                "175724379925337372745065360315442037089",
                "116106287064648866345467107107224251455",
                "192263653642084045524217778433560868391",
                "94569332791435943506649695981157062912",
                "107721064680567000710659754980623677614",
                "63444650191584261293785899799817326075",
                "293472890443840936690960523387681556736",
                "49123698819520726774359124995235612120",
                "155237955148444583223730032885237105143",
                "196198452087024355194696132319769586707",
                "263022575234244651519220004202663184976",
                "267789457924989258797259308907165266159",
                "53653958110882268444473140245612027826",
                "144259546930839016304160978539953917219",
                "258631155634296568107661425977082629023",
                "131243938556405108843304018783452005073",
                "40693583902107669873414325934765735774",
                "301966383505378992845580292698971501072",
                "249385420439080257306491780446313343875",
                "46393517402765641824842876780745622968",
                "229028241054923106684490342346045375807",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "39625622918060442307666150491604509726",
                "214901771967114675423974911369760340919",
                "315954380763803042994947142304864098473",
                "188923025024115475326763794099659360268",
                "98407782402773968181547207015081054832",
                "141082894679554210327799923133792798934",
                "187605643954282476324059660379166485837",
                "292385496978031127374110827723738363506",
                "162599101775600039911677772254693267654",
                "73623425389097003518397328854836790371",
                "178360272927573321606320986172386083405",
                "316106245768502016844620132156180820247",
                "162988155311573333062265153455267737715",
                "23034317175322313150765664505208568459",
                "160172420007399320515731019201222658239",
                "299312284445288695761782713060801819178",
                "191869575077383008451754982900517133223",
                "140932095925848337453709307022245653180",
                "71788046946604303456048719110691844852",
                "309422451064413893791375534399221657490",
                "274819964960111680914748926409815535800",
                "284965868045076494074161098744856929108",
                "299331095065410567724003597363936687946",
                "84987576263670915376224206445585989633",
                "64858280343372950100785811496303180992",
                "244030211064580313304588473104387959603",
                "24068697364763532933236660843732822926",
                "111235846354362037054957852652343430957",
                "221855308169554128384647856695127651520",
                "173900478267232722159287938064048552372",
                "66354731835679423980237560629636610465",
                "294003221606528224956131452067093885407",
                "163533178264019017909568902493873438090",
                "309285709871492849828569209333109605263",
                "188632677615069859338775535270355394387",
                "90628825855075557320620675450407421059",
                "230986752892281194949737964265721592662",
                "39018689826636081217813024410495322090",
                "215221995689173064731104044762999238466",
                "316145200255205587378707535804743008553",
                "68306610485310071822625451792044848379",
                "169395433278232500565037379556813931962",
                "141111614085336476882858639051107250468",
                "301197582424284624726581319916078449556",
                "76473956478760847183530766947691079505",
                "95372826492407428276734856470485215394",
                "213041017829995739799814841188077247520",
                "8454605689221742605639696394613772933",
                "65687282755528585624280553431823337884",
                "51713854567206807474005426209570329577",
                "285538635126419860161665558926224217709",
                "241008071627519158892598280637272637836",
                "304656242629048510412909945222277886508",
                "241392281020877552793659008871343187481",
                "268009008755805187076650664151026620604",
                "8483583331102082997783447039087182998",
                "184665570995949453003793113020887437618",
                "235612257402096107743570871258048632144",
                "233691113165755293713764792361912248314",
                "320877024867227614245553691926304071478",
                "82059880928642443250507442849129435052",
                "124944123251709422265515208580381830536",
                "69918381364046281851263419811414035280",
                "134910327186101157925229863635610598196",
                "205315500432624423574137221454696886548",
                "225814195580443485374084573595511066974",
                "267369261196015423257769359688138443683",
                "41551557308885582579320044828002801164",
                "285202158833069027571540145668070480376",
                "223242464288148069956407080613831654860",
                "263081238476340081164172589454176410922",
                "192518484676427975775495474256509177625",
                "191072114372329652539100578839305466571",
                "115766464473501540595479072990199452823",
                "268678299829215026422217454883834983670",
                "192614765208534357217855817187091854825",
                "86112138198398864849620588257240510185",
                "318566694249223810134195807736278279143",
                "30381982689341647935295526541152246213",
                "262799795595935070910166443217050640571",
                "58956879331364365798116142951989864302",
                "247803701857197936572150960062881125343",
                "71645885901846914417692848376300065881",
                "49239106067614105962012414622606561960",
                "130864671226030958070857621308150541380",
                "105887367134568190168899548383423813792",
                "94853276404338105977123793774923136927",
                "106628735758048315495312367582676088840",
                "297483946155897264045176198036032123093",
                "280908224754934681981010787848953500620",
                "243532536816534123189776045411059813755",
                "36864757657312312214356273432079874308",
                "76269819726133892209464194503523344237",
                "289697856733843283723204116591305844607",
                "213235588330731940294346139109640889260",
                "98667768800786293892395798770505678427",
                "117587333010169201052857540478433889055",
                "262936916042508454833770752546339020144",
                "116574686638367939141179829501035437176",
                "113074059942942266462155023061240458118",
                "284703104913475389826502688114986475335",
                "338094855658536686547671480156207933417",
                "162890901498830643023603625818288516254",
                "192209568946118939345925688548661495693",
                "128997766957010476112972232266735605690",
                "184147418455352375393062582700203119430",
                "298780982640426925227294573939261925348",
                "289766622863778863436194105004932315938",
                "290566077726469712081986219344246300155",
                "161770165571048069742224908549773551112",
                "4480937477622225445107770997304102077",
                "295022421422051551543595729294373849349",
                "26597686162349480239118605606957759325",
                "23387157838490609322575044600078063944",
                "40633058758980215809597726307863660049",
                "326744067824017619385212897215388685852",
                "44141179610082329734213255237552450443",
                "255328546344292501852886892575186216093",
                "310800265543172930589197131457179835199",
                "11873914050402759715474651042032783292",
                "312549561068779290431441376610815762590",
                "159447738927657384703062125993163701646",
                "147543073684562795781283621699277705993",
                "119363823521128407549931973520553813837",
                "296121594763371321874305681560773396613",
                "36395539461962827960913043244529610050",
                "271096129393962378951484911544596446151",
                "42754306028310806463871771157120141087",
                "182615259976112561009210111325349277491",
                "247017830208619319452025320161255999228",
                "57716353936438358118580422869889674490",
                "233532306644040935778533170045122286900",
                "142356629221709791051038047606127065057",
                "147715908298051654468352507831110640415",
                "291447871425416400646048387511301975201",
                "278817429874175486439371963051840287924",
                "324441262138955946012661147203480057686",
                "119451034654074432148453862153381634671",
                "255791543650978947116422142398692073487",
                "289399241583492227284850731876087479713",
                "283011673213121113577479498823651032718",
                "202173987841907786022024574565981174786",
                "29813649384367072077455055265893807545",
                "118156555249181530082263270590389080341",
                "181566586909325100727865931453479150404",
                "238655357542182586322196399414308553093",
                "231442720532718337385953331677017398732",
                "52559469428913554089891885055857745326",
                "155394926201423071600164262972168497199",
                "98148236413413377441343360812125284770",
                "111224004239879320608087000489521007400",
                "140910552012504018873932312793770277129",
                "246111676833282781929751806281154003179",
                "225151519536251836689779916055768046028",
                "48815582695984378482883197958446147465",
                "198462082968709334644138113315189369731",
                "93376897311368146054626408214425503972",
                "325421233784896426527696590284897754264",
                "300851183139439427709567701844424470634",
                "302014852818606806492775201883258768674",
                "338867512282869597392104666666604725120",
                "255601034371598489257720099148820858498",
                "94457786976518667061349051142521834413",
                "303470440016703523034128477627049290523",
                "307979064124120105490393772861677949441",
                "162170205292528380361066570788512802846",
                "131637850572966760660654696563073957526",
                "323883621997239700373031974518901112543",
                "184736707062842934167182902338743577438",
                "320089394637897628480353773146051948647",
                "106667453184809247632788378286036533046",
                "258619503202899804849508275797235565023",
                "12380441852137573012114255910978797529",
                "303105747303458020041165676554317845922",
                "269996417709257927242127006033197949744",
                "102533738397312459003943671228358197905",
                "92074676647385215045905995274840407298",
                "219664910311757437475691479081606341620",
                "143379594369445878433155044222188426105",
                "178909361354999336219718967817980486716",
                "92339107349240375911024221695769114083",
                "272981204360488653043423217210303963595",
                "162020893215194698647805873257843097718",
                "50210951491526526511769624688999793861",
                "65089688346992354038436359074864506555",
                "34343723963357695330907592571215346585",
                "293541720129111573948081873076126736591",
                "168672732106186794007557159476962270980",
                "47168268022571878208425925818266436273",
                "279769580255177616378652429612137338764",
                "212747289717791842623399144333111213059",
                "134499335739666290305236951604460455182",
                "190770078647393654141825862227437548477",
                "3156054200217616617444711052431199115",
                "321349617809344761774292147478421908723",
                "262967101920899002242292153637666817770",
                "93780666648080888785517854399343206382",
                "48648331916881158782827035382860054719",
                "104083806684071533501955342691368183923",
                "131317657151800088783271595599251540663",
                "227200501409139467637941020177647985614",
                "274225691586786914846106174337201990353",
                "308492436006485758828154280724001693861",
                "41989870956531931110935463924571562860",
                "240531565045212584231455573751849998715",
                "41900697643572787231707741561150246791",
                "201231477591623326351692234504750454831",
                "323786811576733143143692533682650268882",
                "290029107830928283439613298941142417238",
                "275423289999826103202511297785993706249",
                "122310151522474692433178611517390224006",
                "202399642769554829583692367834711420155",
                "108761481558327859439476592760024411602",
                "168784708798869877000833777691453066331",
                "104469814746876258573512139546571785696",
                "335869377382752580259838147950596766435",
                "41483131196433258171113536333745452271",
                "211888745697956188075988896676193821706",
                "31266241825984133888904193674496643991",
                "328312514503194265126065859824014706537",
                "142870439262862412790647015255504793714",
                "877193578462974755680069866549462107",
                "192275090949431946328059683421110699885",
                "200414324603032688044657370847586594250",
                "109403811906356204113128028679191315220",
                "79150469112608075241103655781217437354",
                "105846485403590183411054143933768303808",
                "280233295343040424548700412212352909319",
                "53215684632157401419571274433773742297",
                "266789677028288362915569912171024592593",
                "209929107353022529374216398214434551911",
                "20790634752445318181203340938971967050",
                "231965751904798962725699406829834165758",
                "84066223463718387247728985205451831210",
                "319833532594322593838910044630313322535",
                "315119941971490436502168536190121817647",
                "136733379382083306412660908587103543157",
                "30624612905847496694177866100904532889",
                "14564019180914497217617950475687355097",
                "105480015648662293531336070601312987848",
                "89338489030779966707681201594974233624",
                "213920326593055909005590834221719580292",
                "282866473742079731682742165471479897519",
                "322058611842460139420729216528184697827",
                "96775368254444863653329763372584509898",
                "225297241612243339551494056524621870970",
                "338437082087606529720745863602739813323",
                "37238446413918872119335388010292870509",
                "200760175968667066939094000376572073496",
                "53552736919745301301833270758448600206",
                "78730173267736650995797126090251225498",
                "12847588875408154350088563561266905400",
                "308933549784413319474756049698139256804",
                "328367893141236470853052656733964397276",
                "283313186926991416495839858984112676571",
                "173052805838577433927946389788067382490",
                "16696400566632194293055296894104563591",
                "153977558514379310822132305548734049159",
                "284224258676865623942959313883104114496",
                "321494997619815662105480343342182549765",
                "44042307119144290953129229649580418566",
                "233322590710397129684293862374433812119",
                "45795358704517786372921285573560698266",
                "317617191172818830877931990509390696119",
                "240045315042987672258420952988738631313",
                "2403397977175240267890207736631008017",
                "122353536803597798736619771096750439746",
                "275810373441765630946106479008581078069",
                "54527558535907769068873336604731275899",
                "12169119841008059122107335587351353171",
                "210517580627922793123677292866556843564",
                "140858211236175937439109238502780927741",
                "238118786648031647196265891894069168682",
                "155368072741695142895971377474621901371",
                "181892015522510393607583003149235778429",
                "261930883344518593877835104435663154691",
                "120823530141896469248205652795737695321",
                "70700625515216205178809166442209148826",
                "99529559704449681676703634230568346646",
                "294194906289962406358917689600897444416",
                "100441930953782473409208108398335633232",
                "60426712695023861236809970330717134552",
                "247342894764185649485141345244945105573",
                "63192272405358166010704750553153017292",
                "43593625863810324204768686813465534882",
                "156993337303824545415960460313903001136",
                "254700526396602352316992029334909265664",
                "6893969770080434403770300323628373727",
                "101871276233516219185077277937417462400",
                "304869532895302498153136879677513285742",
                "59047042579692613421054064552220709383",
                "52618211167142931158126694835559092097",
                "204355899848661455328632212746824508356",
                "293680282996023466615062612999850372134",
                "29273025246370761750806441770522797649",
                "107258790673090163292541014566901992561",
                "267418171186889371351940258298521445105",
                "140229298707646153143310161485323195463",
                "12164072966506344054974116479156281524",
                "76212445505771100027881267111347096697",
                "84961322292390561357282033658925540188",
                "115974803209934406841649861857257614039",
                "49165578106146809462807702826219087009",
                "161088643275035304949048733175428135146",
                "306156978778941010843416955225816135013",
                "115630056475027545164609312667539218616",
                "68096410879876775572222848310918505477",
                "179376712092125271851612315029410940341",
                "103832635745094923071549301226912312301",
                "233968601221991459595718314869781149711",
                "156018208664891528480406238588658732822",
                "25007787233265448541498023947132373234",
                "259232164470301687560767912148471807089",
                "83842503449809060336947557050880896860",
                "127412505822644688870104989603135741979",
                "48352327354133946851771816265010021911",
                "4138265460159726278258332381207245947",
                "267020664785778319691652486941946936797",
                "190749692621008463091365824409720392957",
                "307002860037732217041667919399857418716",
                "232744116376570138111759661683532314912",
                "106531227579811627906483101517122338234",
                "206415052405704754303830712611421811484",
                "69328584278212814294426559235018011844",
                "152906394012598244643756614564446055092",
                "62415037645120316507473294195200573238",
                "180741532170500593111172150780008684334",
                "190354419174780451055859790508506503135",
                "126823958661702475787468992789163346014",
                "84594219057007206047071609226921816765",
                "205690857079122519984777499194274949579",
                "313601197635422021929479121168606928665",
                "259809349192196456283631349804502131798",
                "75935107542556577638703815406443656950",
                "325619850161543056000606528905761133560",
                "280102080507264203604003673537894366105",
                "4581906811709312640359622996502953212",
                "84563341113818238270455653505885634787",
                "141056500961327214698423744133536566504",
                "147893307640696006791733180009925518155",
                "146850232268621100833684734135369564989",
                "270640159834640736108434862645323506924",
                "295716387693662399856500907440876055711",
                "249859514279363449220374924230176654185",
                "205094660431860073294686798148611173780",
                "171114303165419921834802616557708004839",
                "323333236518481639648445823630619744006",
                "36302861544459986017367798112580899148",
                "91790616327920270747780787934199755516",
                "74695770448630362230267904480461130684",
                "23165529678600177253064894651364481150",
                "25828023573310153333648685153588598299",
                "29629227567317407776742820610649957",
                "139040657107879655087473314055082437775",
                "233737393743610793673837647337580277246",
                "174267332426376950562024117978137762215",
                "233182864120529306735839375662918673057",
                "214186190849307337415489553882973907865",
                "42862237009500328712243118595715691297",
                "43644710399517923698483566998409449062",
                "192969919763002900553379059662534827392",
                "325488319451562676194085704626086814269",
                "76555474735736720950286479462009973928",
                "90087335228931414274440664932615995100",
                "78395319421614853095899980378680260956",
                "242854732182008891245158609548869755098",
                "104341050236911981635091767439383737363",
                "15309487646518683416609525251485300219",
                "317873051810742781696317516217959925729",
                "257199832829262607832823851894828489025",
                "229494393496058096458487610160967164397",
                "281046048970948356593117589455215908163",
                "250330522808753391042863138729807471045",
                "173504865065210242458919021948962677848",
                "40357930180007471939389834868813356749",
                "215110085407708547142694238036713173869",
                "17818188892280719973789256620871604089",
                "6347852085768165325117092169734266297",
                "167219920968037556435631169616335661241",
                "251442944138641077415464398191105241834",
                "268652652527882975106914678093283065229",
                "317045724127688750894802414039482193168",
                "26236388151572176632956295321432387722",
                "265542180609430062134346135499529751274",
                "302087744977601854302409888112466516613",
                "270325880668118823427796855070062523727",
                "64663846734353121633270959746921470905",
                "164901980406838235103799895485834167205",
                "166095180717044891763825918647657307067",
                "155012043888885889208458099082165756320",
                "212780791593581266970615225593953599351",
                "120259122881791773712314042412566938081",
                "336586905360209062628531009315104053944",
                "149845064370681388873953274192095120045",
                "64161365566248945660086587601902148326",
                "81492752554618189867558640640736509031",
                "44662032934679168969786779994336134455",
                "67887551209418195799854530979961846862",
                "336847793387016417988193736403750260557",
                "82219324807852129633331303963237208418",
                "52666898525489032292186331908902601360",
                "276726402735460017417643986949855803902",
                "101403638673383243745243124973667342367",
                "104414717483509363443683755254271775009",
                "217738034164935221836891288584195997196",
                "169684638814599967318973915673302081530",
                "315937101679622737084703799795537828973",
                "129945404145124908873959267949068454636",
                "193024559153214839634429273695787271449",
                "141514758892879168128037760010324120211",
                "265818532019273903707483175478147501431",
                "98997784678865986425109420769635812059",
                "180782893841716051880585917800388123194",
                "138228522646841834430283457986406684066",
                "265287346627317166529391601397507401448",
                "225026159296708605165669332782236926944",
                "248123618048338426549030341768533471778",
                "239890243263571641713966669633176858351",
                "179455012529924325837328187451291565525",
                "93568242408033091020374457896633508533",
                "151156351645030413262767744248420759679",
                "313137399982838727380920720000482084494",
                "78734314603172681349998985999762423579",
                "182811184440010787987716346270407680400",
                "269838843519270362827468634115125868662",
                "26464287718677092661515367915632523622",
                "254223824779007288510531001044234447632",
                "131617017209765742071436727775136353024",
                "270943534351725372565208355990723196751",
                "269419866446340531675999112261662753952",
                "319606992661195789144212825568581547639",
                "57185339799333630627375817671334957668",
                "297237216302651531318751596193911688111",
                "26624610538037907173147260857281355976",
                "296854326171556632184715688704196032660",
                "3703563366000088684048966991928571157",
                "89043397154173555461994937411444953056",
                "177894067260348873741497726616710727827",
                "250712090299847505114489461790692094071",
                "215935668634833502437411338763873638299",
                "236904400820597111242032838528049232536",
                "16660977322380856265494589763956195200",
                "3609909385577389116098807368951854387",
                "114989183837603392617399266939225998772",
                "112686511776822082407677890186131970026",
                "144549164687528874576687854173582412568",
                "63548561945181390457445644947347105102",
                "190546616855692308763048007276310150499",
                "109231974327508035793174188091532121058",
                "311486269188099768027560442259653635872",
                "24293094246245071139684960562996078491",
                "59014057067909182310417910944300904941",
                "231394157422245387860783814772632194830",
                "139636232424830249570221297737287840846",
                "10883135106019253312041167963284496972",
                "469573254917962950052419875911957041",
                "138947707530095788665115495446735482720",
                "101612058598725061836112514233999431282",
                "158073403254174393999790364230491503519",
                "301848384398093586495485588339070963511",
                "168154122841244251086476014654194110982",
                "179715208526378475904600607549184193228",
                "311715029516584140261549116348747345383",
                "54858731300506344814801340299225182577",
                "229637448350654160762361871739670663962",
                "44525138953931300772050111467677353455",
                "102105475371242628760863062024893350074",
                "53909566089761586713619936129875049105",
                "77415997859642307524115455786548695963",
                "40518912903936467046876438391439488830",
                "155580067959061199330150038507208611697",
                "138561257003194550725919947096070936684",
                "155449124332893271708504903817622478652",
                "55220251215798362034196892282642797914",
                "140123514250662304306327553638130130851",
                "159341298037926473468579304092820245671",
                "127012354230492582863547954014946393848",
                "103984840132974341250483316598706686257",
                "90117149065536907913360981312012545655",
                "95903434241523149556546667980215741489",
                "261095976725628938832207140343156568902",
                "314803060428440794428944512677802779592",
                "249519691807915826925931909460493244821",
                "317002301130834352051706005410711969524",
                "208774028821284391488442604244635531169",
                "220303542601925058029156994137637075140",
                "180155692681755600824612593280627054617",
                "135393946677144165606596283035081249621",
                "319037741541770296932398113218601517095",
                "318334345598450024472761643666386478001",
                "176257390139233673480957845889613345664",
                "252983043447549987497026280803722616642",
                "119217518592202426948530984081860551227",
                "234256005751321902439449193077300194799",
                "278873201116760253901026377539858170800",
                "222496116328609073006781516634963171907",
                "115283151325229418797502734825325284665",
                "145804949552463544134324072493174607826",
                "10628504155488509567181399915098537084",
                "195935614414332350684725525917993614152",
                "326986072938872409751810680390430700926",
                "310565710304342869606381666473538362324",
                "234329117972520492750197591705344516080",
                "70924523967923346751914034058653003666",
                "133974921897318503500874383780737706596",
                "249546038517156760223393327140876506779",
                "69775243280868395622331257987829088054",
                "101898376273568198647602760771185835295",
                "259983171615868650504900959826503237314",
                "174336641293764795453625440175572229039",
                "124130046956786904937353260347963524544",
                "198004507672927141849793612220507318781",
                "14792026415089603837667471738508991526",
                "279653212535326155262046779957856004795",
                "277500861294363243725624599199560555962",
                "165579878003861445387680909811447059757",
                "253357895929560606586792674391148118316",
                "191914201623951910568291278376943497134",
                "101385339117615216506791866780421589357",
                "5568155840776001252251894730949289699",
                "77394071021785995191002134719000532189",
                "216312585597022060235785124148718064349",
                "41385548556851412526400128507370782426",
                "52635181918603228188251536632318294041",
                "91030941038647189885475775812305856914",
                "230449397827084998869799643520569260322",
                "32430307546676731521309545574928184635",
                "106605591584010667169100042042676346081",
                "75996267396716534779171387199637427528",
                "323191953240760212107790306222602994715",
                "280776872256024893279121947640173423486",
                "43743973173376268611922634954728580279",
                "111690784541464799364401784406408313269",
                "228827516595356731604422608596755052539",
                "302551834825190019379064837764473868263",
                "55571453510311027275443685608029830851",
                "225534249666168903360043164224442019849",
                "6218497451981612200376214478247231012",
                "107343899527597675364134473503954154612",
                "81421407033806999910652718652377969414",
                "134783440812869052908547464316743396007",
                "285078515961433993839043323689877020601",
                "113157984928662633241298256869677630093",
                "330579438144651620978093101001782745599",
                "218504600130360249502180024868665600515",
                "114720308324225068526723171217433099663",
                "51967269589472528916051014424437764362",
                "159372045118269345818753316791009775276",
                "227404217012706116897977221859984776883",
                "156608207559554136055422631024769307062",
                "302652876549791131290428923844337071959",
                "282608521904598588440859704434054126479",
                "288821339027378212434327128481689882604",
                "261054491236781809905277718886588336253",
                "121780278759945555010367397717984740251",
                "34777461951257105424096892364043814992",
                "190964986717717620068193019509243322193",
                "201729741858999664756130954376415227752",
                "169190995308008358536825274432482448883",
                "211153254023136676337604417207470281744",
                "38187457078388809141077628333545724987",
                "204638353363800097673676728534179168723",
                "91759418620461738341748783797482532346",
                "246182201573414822212104784872491531443",
                "271879817677459773186858016142039401148",
                "195355870426152284404052979743660063925",
                "105668870928685493760554675144127748642",
                "207348979762602432442859741111950262068",
                "104224042678894914057816047012438678671",
                "176654755111915516778792160070940167464",
                "189711907970000461221564398782136343043",
                "166255658309920809401096175057225922044",
                "202012406154026915262625316126732375964",
                "168963479855458544903617184756637115898",
                "37325214241142991385464803510350987677",
                "175354904941454140600708600752381806657",
                "312257699320403132015480774309597985668",
                "27869083411742200257763014540304794327",
                "159406779785146959029289610705588493467",
                "105813167218336210242937865812185104313",
                "336339218627232366852756224535874589915",
                "171001384362015785179829760330253528392",
                "218064364058271588111486201953391295223",
                "162610385850690306408707046759776900829",
                "267770408173813550508733132326233639772",
                "111572670688977618479872605855070454135",
                "74676296484420050429406130236668447161",
                "156277745724693707957821974184845552076",
                "299685515525583499082750018778023889647",
                "5377915228785536453873879738139324704",
                "153264552623232216035129982459845367744",
                "55730944398761823939167795635469764132",
                "47867994274798922644204739411772211029",
                "59580275286558713431580281966576065005",
                "316236667487193272975343669545922394209",
                "329679012631102198075012711951366758476",
                "320472471530340671159961450845180803282",
                "18462705590006367242560292983134936181",
                "104570747779710699735718848781942650615",
                "137725288715117433640356299524130947196",
                "247176171050742580132587495854351367830",
                "289088948054041468373678798848325325171",
                "217646612854294265683153514000159875591",
                "175849753310553781819330493004307414060",
                "277254771861060671741689417089057589474",
                "94471223711361174505163024409626982633",
                "231766085406033631120817028747068523231",
                "296635574793936437078212812680006173911",
                "18872022588638549925664762348617635195",
                "45607875203394556701750937019404182624",
                "277106807860207776063918171241646437874",
                "57923287354876861350836769805259294608",
                "219764875514969100437822096850177548248",
                "314862087112273428486246477898366596994",
                "64732032744167459015071680326825702144",
                "87545845659749178428660556706078327905",
                "25767344293378961553960068305683446623",
                "243213736649126012835951147583957923534",
                "174915927812182408017967685599675428438",
                "4280548282331007349973429627200870949",
                "138728592366432839244804468998769696485",
                "230293611235841645280211740828940502173",
                "257010241802494644025202404019369789407",
                "37826063291467029355752950576212091420",
                "246969851042374437447377135860035016",
                "61401284686928906480538428730714960141",
                "249947393222854718892145993477762048583",
                "62928839703987519160642128958295162222",
                "48456133152936346531784787581143730983",
                "124687004778735419165374301850999171659",
                "299190335950319519356601329674720453803",
                "110140561058992907545957214879994898302",
                "40983754035625055450319159520152746915",
                "300761548924634380836172969362710371179",
                "4962865038217831389380288598077521670",
                "250094540932295243049617379087616566479",
                "96422606702583108827267296328473341928",
                "333839386637467811554035820055472950285",
                "81021149044225627707961324078128852400",
                "154077067620220126796594558098625769487",
                "60768807097677937925994075679101862104",
                "167081153808400546178261810373197289771",
                "183390265848374534420558173809590222882",
                "180978126516718422332591200844543076418",
                "139930717600170475429632013998096574877",
                "40278088164258940580218740792849360691",
                "338178952478940224683987904847411924322",
                "281391328710024138197388749826588272193",
                "158071315381611809306161422498688669012",
                "184583510360576731074445627580365102347",
                "29690765267989532087833515088076936191",
                "125797604608693347362266841996797071088",
                "99844693240272494578600667934138327630",
                "327027356450815134161943821497752912591",
                "32425367549572152788432577227516099610",
                "237082391804122240384914996227656207328",
                "171314606120473171472343733308402442321",
                "126465977215097081047418086139303364348",
                "297355281482817318726707032883419906391",
                "73456953838576602001567848168367398745",
                "96284791420208523011931400027711903823",
                "233269727465972179335913920735365979490",
                "66445388595342091627711943302106146551",
                "300382378015784215226782221605130228414",
                "292205774602911140311080926338875140024",
                "98411376749104162806512015915934056718",
                "236403772496436475723185564788767842763",
                "305105934926882391488074130280813499479",
                "123467895579958707114517220069920427216",
                "308302814234730309395847172564782372631",
                "87042269835595690933610259447559311779",
                "34760113157516264193287443318214117073",
                "218782357672312929262174326846089925391",
                "263420484532118237842114214005588431451",
                "72229680439251064117199961918510346755",
                "65727984323414700808377521405181248821",
                "108689761295017952078599956806323779422",
                "91963220930256572179492124418284096731",
                "265267786241739917511374418064237705443",
                "252704004818397201334238875801339191469",
                "8393632926079079784909438186757510840",
                "331127271764183713623315032777652782929",
                "120420475435407658551849021082712654100",
                "228007362199196099811923040355330328864",
                "263184992901707897886663470723834574089",
                "93963057127617850214366990548204321722",
                "100712790828204669569842636868015996301",
                "276754533452749421875783123798145178194",
                "118562298785099427505196202308170792880",
                "204201949204723468890038005468529660196",
                "195855937758291931817681095070564292950",
                "289890393647212297499866048186954080742",
                "321020302964156338069330340300463452807",
                "212892519087657603152175212884380153370",
                "111205054265463363360692559641760993501",
                "113381176526143360213036889447524841066",
                "190167187909166039414165867408377972808",
                "270739530085861810203661692371605876119",
                "116014263038778129995044304659528160629",
                "214285482125501837639705030726174982585",
                "264055275405076355118689243399549375987",
                "65656580677019434145327295171515921016",
                "296269038065586588021023301897048123023",
                "75822848085797728109075758525514875268",
                "284978469617097156558910120810576171837",
                "128149357204039555839090925646250410149",
                "326523372913598804614246113304014920528",
                "43380000159997218375886004450040208348",
                "260015346016610964730478919796415841855",
                "326732192412669385439738617041055946094",
                "128404144192344672722041458314126691542",
                "205156628560956319843253589946851480000",
                "15438808685941501640514105238256974217",
                "323879977246297941931528279917367363783",
                "292535246937304867231830862513523456169",
                "319855091964004902693067348482375627717",
                "111745285711189083846247303449889396220",
                "32953415299040035604796911030442179048",
                "14457240566332652060276542553721183330",
                "257299897227477237931333951771083046564",
                "299591164036070485712003300096969511502",
                "337869489653647579013014103971506877466",
                "215861860096631968993286620965560953007",
                "261500974340333166307546164604180479881",
                "106794521313407894897966989661767565215",
                "112106647824888504210609182586374158654",
                "40091260928223579475076679015479318647",
                "21594071944166132633555309835250786128",
                "82653579690851677194983308920268810093",
                "315870498041731979578958247643732291835",
                "175567524409226706007855662685520153053",
                "333181885721948751848937912777850069103",
                "18679553867350343579555565341213650549",
                "83386844600143739847114688159977702851",
                "199507392557751481643335129347882949826",
                "315480321426244716739420964125947422101",
                "326495092247766747571918493667074501849",
                "50463177324371026650641106879462137414",
                "102518349848120356622674747136165902499",
                "80240384893530867112305402362406519544",
                "264916471282274873643945785645011619475",
                "135063542309021330678167706403448663892",
                "229845444198043666824378118540912985530",
                "120595376960582392951111285682084440233",
                "129525997782944296687259338626830888819",
                "111612397676512535318746161909779691240",
                "69985437186137207136330102663474276778",
                "177541072809386627538710139069954739749",
                "231184933984669442316284014065647125882",
                "111021290882930332808918885744235089874",
                "316290584290845931268942908279596251805",
                "287972162095167522253659276752478057796",
                "100439644385422770448058396957163200584",
                "43601025899049106870622148896218253598",
                "93383940517796686413327391212031246403",
                "282403904198117335820379769786652231032",
                "269203366125761487110102503232829112152",
                "73114914093009688659760956228537045535",
                "6487176200468777699759508081946198295",
                "65985082030012972508794239321876067862",
                "149901929199614958642620615643775294364",
                "333014927394462372871939701757915632839",
                "246024555859091323171245553324072506219",
                "322333031855099078568901601398524742789",
                "14355826797858527136133970131090115686",
                "230308847783096660511090598225845680689",
                "309904819613747050570175909853924329433",
                "116249801744090879150459259144958056037",
                "111450930044721142042880012533724109203",
                "326697832285249714931685778184907365648",
                "12969698913227146326703219367477427319",
                "219008344991429584560402711103683980379",
                "320542313555576647705879600511898830869",
                "175635354387528468156204087740695185366",
                "103744931792361494679731592575139710822",
                "169773363871396787973946393181679615539",
                "245584819414771742345132956474977887657",
                "32299277363220815400217672878696189854",
                "250043599477992338492439602942613214854",
                "45231477524406262097888758628977931877",
                "257648137587679311312985350453811732987",
                "296096081039539248919627598132959950780",
                "121876724600344827235431550983457459803",
                "118548320686460577882762230463139869461",
                "171860808229018538390631743688255655400",
                "22160000583379399577257334319898485149",
                "221081095939340285193303811828677186696",
                "210323350053934346432634989346143195433",
                "231316719539443788791879030970700698898",
                "216999262317633535148257317952488817148",
                "241486705648226445330490724625269251330",
                "143986689409472917986173725489963762660",
                "132136946012186783142856996754297415883",
                "236070623521225272391454768647994121988",
                "252343260044178922907847671081026784054",
                "286833727257589004315457496893726381262",
                "175935507488315322117379711576388561556",
                "52501941658327544833973873706798629045",
                "141191741046456282856820310159467065402",
                "65730061505949278838393700333054843263",
                "169546632115733560774648451117062987696",
                "172128540932240177166151913984768845363",
                "169490838815404180014288386571105568520",
                "177819610252059306899896163231392343225",
                "279596202406173969784480441311454185228",
                "203908746022196730112270000646638944716",
                "283651807616404672383576648360473662356",
                "35753442935078534205881661556132079615",
                "169480512269761223679667522674763035962",
                "276425902394905353889438070501696646009",
                "202427106990598212905273221730182514584",
                "167794485665976192567398825159941619225",
                "37854967542964378639687135988964373854",
                "43256704973071082193947112726351676712",
                "193353183745833497331778598984825641555",
                "279476579668629044306134681451729401401",
                "250757302487176650030541422547449069400",
                "8944508128351506340457249801739591491",
                "54975761250311565964543873815531598023",
                "228263351287129962901466163529747028217",
                "57271493595467717501382984403809984841",
                "272814468400175081526758077411749056771",
                "323057779424183560426505210831218700289",
                "296221718025335553917924897057350004088",
                "8560037685345006623583015324002698257",
                "7639671950108949229964369687564166648",
                "292264325989896389468205565268443334934",
                "338418081832393675373374869171001180594",
                "247591526958863996709187567857227332200",
                "32361697519601831749456581291579475049",
                "28572135300514395895655092484659313713",
                "279999345882645386060970066848942504654",
                "284443016700014579795109227326892719971",
                "31749759246867396218809160040190633593",
                "106756794719661853738034979388931599403",
                "209522849338415275336920611231552675160",
                "17538397911730844145400151266628435597",
                "45972669295169584636592565071173732813",
                "52191764688921200082911651494601565814",
                "148296248498685057402462199438119002798",
                "230892906081843424799198205170521851094",
                "334458969294708588337704189949920414489",
                "128334496501736722362286773388903501560",
                "170210018014962540099615027869141499332",
                "56454837626820759293316896174053465017",
                "78382153255021045888874123897779134745",
                "291903735859371785011706879978446894990",
                "213601807551828998959077176201276798745",
                "272014075389609030561737116157566991910",
                "313044715609839495564695674273675135732",
                "272532308138310206033044801811656129116",
                "147688465472253413613275516012323733681",
                "2688086399685704240760566839043810542",
                "138434203918123488886421319231671116605",
                "119595342402395371468372480975468017838",
                "173127773386830900965780394766683632079",
                "117186053992517542574511139496450878933",
                "6201723619343507077584656069611318776",
                "185072852071173866721173757903803461931",
                "241842228798879414839203700675095195880",
                "215534568111706335385283142417623166031",
                "7870293080985454893455653879188850205",
                "273688895786450697112528928380422173835",
                "241916943983832003725452369954413507801",
                "136461578100830997750023635190408126003",
                "115299357190893100456790887199246991265",
                "216862280791964371053765112473386580667",
                "107867880842271698354664194719565957423",
                "327381198244685558451097998804137079037",
                "67854347834878602431608101512814444516",
                "35088745062230180329806862666849649866",
                "21699921685622181931046851416491640461",
                "50853132287122744518465879938676011707",
                "114965606826401682544428638682643336377",
                "39922198877780376925962420399074510101",
                "74936131571666564492993790404314211091",
                "70569909359801407094441927839759702541",
                "133650211389033863559387648124183844741",
                "83117072312852983318052997188798518635",
                "293255533373491512295129276314231368961",
                "138689793542754830918684471718382676264",
                "140054585413011911718736529287713541457",
                "218195803593976155395096664357405142853",
                "55483312174153597951422574346344717822",
                "222493466540363896439587307542011602928",
                "197716188176093368263027365790630174337",
                "236940856829130594779453802895363761148",
                "53043155213481307167320613098316053699",
                "176613993677328685644665015575549658307",
                "305583615700930267670611958574904269621",
                "113257625859178825444275968016499704509",
                "324321079278101904234209389132596477166",
                "187981576551765486039269402788539837594",
                "259820887236136697385060440685481467210",
                "17362800072823229053312696027979656825",
                "223925843033328444567913306954997453578",
                "305214085340458176989495554390046054463",
                "220445466335136325797100151710759368693",
                "221971796753059382161586919109970020705",
                "170594727044747067237081537137391175159",
                "179442916761522512828732711646655363485",
                "208519697000178781333411138990657690128",
                "40288595621869588756424923524203563963",
                "333311394430331020948404678061241253184",
                "110985707703009632317923844549646688367",
                "27480435254747227039650286532531113546",
                "313155482427546609328703109085180609699",
                "318835383079425786919729135545226155227",
                "25703329735112835556366879906616084076",
                "136830502522184308117945415848001769298",
                "235833309062572346899123187759900415445",
                "228070231383412911396024026163304044292",
                "45307278520413740581206488949414099451",
                "129818158269959645237982904474671710496",
                "42751798243117087870106049231927753555",
                "118528879154788637743195972564193975052",
                "177246676577206574168520192503921015074",
                "65066793791899668898838161349268380556",
                "277701106814908319840848014139590342897",
                "156208972296857501041503190495281747280",
                "121003490791944337402745080930762356066",
                "233682835778581562262640157631348383203",
                "225028733038304507026091454200331905071",
                "10994304142104922952018180750285664068",
                "104610439281993264773050096750563199951",
                "106529625266274455377764085569752701040",
                "94919386398570752952619719865992683596",
                "22516317705581496118901322850494745324",
                "336382612347229537698214608187993260532",
                "30160513603526395927075796553454632109",
                "232309577222874622596403993285382809028",
                "19568774612465162735454827184317091688",
                "242982631322782362586514746278238961220",
                "149150024788415457649017049619170593312",
                "271354415821395025035845483849346944444",
                "57957960260634038264856080426876013877",
                "222723690317536524828767429814673751948",
                "256259179432174922794893080927402942462",
                "204276087004059118334283365371870301768",
                "106317076398460073421127544490016264548",
                "310636895216351439892407285965528318212",
                "174115542311117159676252437975812844048",
                "169398172760163987281586730145460579174",
                "93321329201516428641887060925198404860",
                "68004986717455872944891781302940806904",
                "207216560923315878994377073282536499017",
                "142722772060837359479243574235450564715",
                "114293164423372796788460658948991796754",
                "203790965669847372890681089420362010444",
                "155619210662290912844838670556957086707",
                "133548647917031738127602984285639572412",
                "132017632178578376580011834672356146380",
                "174342756070556122472729727004258236929",
                "234650875440631261034094294142994768212",
                "181912405231644653616424330323691778736",
                "335005216531007988916507876877900327385",
                "245066907329183222183670115313439188139",
                "225599351993020801842604128084369477766",
                "111539444682350835303254456678603909019",
                "288250095914311224278665045820117444565",
                "137099179843175892611222556716835302258",
                "129886177024734407194583766150596389007",
                "176859043507840135494665280456085524781",
                "102106437827238731987246740977966661489",
                "229850015452458444029962486893970372660",
                "23109426864632005683850698850004969033",
                "313519212795526523886907475682170283914",
                "145957120835086959972155475714601617391",
                "94743084130986954226938600720714742970",
                "182289159513997022834624691179745093270",
                "22453069917862016518940733043732287599",
                "22425447865796647352900236424774133807",
                "261169982540156109214301349422174331955",
                "154212501336565814779663346717853549018",
                "60759729192470596201553055815817132438",
                "39882527252631119016587126947968919498",
                "221199024251936819234954804218768000616",
                "109056152471780564561705725423272535273",
                "271698764398289534650285718075883026699",
                "46610468788986417912983641758280155680",
                "91544607858522230935176466528068565039",
                "157776459799981904627391376282787087353",
                "53796189195598833631639260740169898521",
                "254247020820906923176258560844122715394",
                "68900892670186393291671639332990939887",
                "177138543033318880102868511933483869637",
                "98605666454534442260123769194851958028",
                "277325475738388408065285756877221075263",
                "160068427965483143171747669705006519894",
                "81583210798410025505054329414202755522",
                "273541909279622786201365111798167379883",
                "179885184345300237054153888689548350576",
                "192780218485762271654795257825213087908",
                "22410488372173081893349685963969811809",
                "156848808141843292180409319484043880927",
                "201015186177683229139140703069355858150",
                "126401650308331801094094681382468748401",
                "35656079820368010288429900429651222998",
                "268638774010002942229264528556924851446",
                "281210641568125108667710350232523927850",
                "219054274322814474157547734085136219849",
                "136714740605632072373197169266751445398",
                "123390963256404609186383143014174496780",
                "243083873966513592072697985176518028168",
                "182755948036162246327764937684492491357",
                "210153315859392889510133626201639388068",
                "112368922533878132235189657105193902841",
                "195587237697401178068005395077914590377",
                "234699883942651210629743099372715773908",
                "103512804456839087869847803835777179661",
                "215123832970327843208533029352390567789",
                "74232614269658855660400260641577909959",
                "236605414094308055106553465126464345606",
                "49967217782650552193446452110396722344",
                "264962050402789647137595649526591674485",
                "172241879412489974184276358487177331806",
                "204024817634851818276311664648964996279",
                "219361180461631897428396646064860191914",
                "175925867499497278718552738966392018506",
                "137348819793656473426542411698509308231",
                "167152684323644167162527184054690325055",
                "262028707499820165196398340482264285541",
                "288101482075831020100734875433219416016",
                "65638819760579334079661709272720194759",
                "222679177473240486917814412136441760611",
                "35073742135263654650782771815407255854",
                "186629514849780524333674969978674034428",
                "33034609058982101931923811497863261581",
                "338520704951813914972680601064491511090",
                "90450908122066179554713862484785041928",
                "47221401246517527755943501666698179475",
                "66487586796959105317103567521675582796",
                "137500981299428106012906909674835903878",
                "111366750905985868847692270380231976902",
                "230198648703586285199911084770412484431",
                "336362971837156381445947930967856873448",
                "255770297034221492741243269853823941072",
                "76376075151962852576121112978969990598",
                "222679660357360218454392535795913375714",
                "988715259382455659586933408897977557",
                "247468587058672700155492559723004776015",
                "239614587654903613378479226308294188737",
                "209136821808845478693403284193308658246",
                "220652167114952191988482868693782567755",
                "60890240046477835936124551986283539926",
                "136041840286723587075158438512211542826",
                "196505242650657967082083208998323207677",
                "234578490323706588299794949176648023867",
                "176344261623101578565984717203933064152",
                "115161693808469878138833450263031847148",
                "122530495713270182858566798424191386329",
                "260490856856627470261025848207152800202",
                "291195279196554223291100768137890283161",
                "41352821094385577448229512070912044698",
                "332372039476342589391459177565579298316",
                "21624467872637435192244390388520914014",
                "64631302393833036069233617950765361866",
                "144703978629094698927131859473169453326",
                "42012848120891608199357874508177997279",
                "272767931117302023631345778004064837776",
                "12933007484143548590098966895525347883",
                "314280648383492791411756127293684367355",
                "209239900997965295533285911528145801088",
                "284207747499624115248026023574396939740",
                "225205406846545829525067654176751406736",
                "270383517113622875839542048589817711187",
                "241853250234742244494489091213932703969",
                "162370481411700821457373760739381600347",
                "91575662149529219544704948934582778021",
                "339730263662865268615203223481044943765",
                "49662709263908743213246853868607794806",
                "260656615737978354630848183956013075622",
                "30151808132192862884143497207755978639",
                "250887505833483368027377337579929204217",
                "4634588403761517739714440195989367155",
                "123914101025331998269503926269874979783",
                "231396102716566409524934981567486204882",
                "273574182409511593741274858315888165090",
                "14367555376104111091185392793371418488",
                "216919787331510736482515896229340134958",
                "262496659391365282674705028836056831794",
                "31281340077588515906722822325108472446",
                "251932605868488901955557586331790153867",
                "144621846642440051884565538307365314750",
                "216747916790769254006710622296363349518",
                "178097542649388440314254834661177216153",
                "326142031676132875885706606595015899820",
                "217738358948461138960948155607818000783",
                "187472226693564743100373379626477474152",
                "76671233113695040637184718236557845558",
                "136397397769912242634821265143845048454",
                "144284034335994773053938790815754302063",
                "75843077078547544296968677407235142092",
                "265689151054418714620656979686221319030",
                "289309041625713705137308597451746584308",
                "30961597148012887591189467084593571519",
                "162223583460660185767912656337627857923",
                "49237901767769137760720566069784987119",
                "217060156496793849687183879296069728936",
                "249537761877097910443108830861558290786",
                "301755439502178235584598842363683935468",
                "136442405461113228041821569763320241206",
                "279997198970737004004105220767450972841",
                "199485589152968972972380791983024777155",
                "100405630797093994713403038568168241912",
                "30324341418327523801467746353978883696",
                "315526645322871976709179851527401177672",
                "220937211541358190074481672510070634121",
                "275901997121229303765616576114065838482",
                "90106321606243008105862074051918245181",
                "71451202729852565414191532321865109358",
                "99270446959100317569860612266153545627",
                "327361258333569519031834443292003952399",
                "280482905263766832473177419455290374697",
                "210711583327665838081809078072315410954",
                "14184898441907572113321728486510799457",
                "53094767069898301805229758971149349259",
                "18914474305991362494932351922046431332",
                "277625411778464669581894221746995136059",
                "7295158685822749028148490133872387917",
                "310155790528954380660511835963151638748",
                "214728511347617959724731662228223499204",
                "7623409132839193098599444895235333377",
                "290772999010021078306218173933859838716",
                "260155550945083075202521232584682786698",
                "130746811326336703922518094622411317006",
                "155807325848970028817279977457059310662",
                "114320180408913397764691072853532037069",
                "310234410734309897041423801418429957299",
                "327799816490237172568543417751721083115",
                "136428397300387813565154597420233809696",
                "112325329432378105938961406115760045082",
                "29593120282114198480414485238370240813",
                "189115058798227407245686804203920615270",
                "255922437574581018821103815753109010917",
                "13890070478059647701242788889827991033",
                "146642287131073952910985271530837008500",
                "165419376727055503882631694230958394908",
                "306318799239283253498734451833465812736",
                "242856064645721711834683809264014455161",
                "97795160106685253425467893944148510982",
                "113753211234927358779536645134184820793",
                "37113603738000627178778730419777626180",
                "284560265733408097621555825665536749613",
                "131609250486970439165857208421302328339",
                "286830145948102317054165504866810269038",
                "190295959197258591936607027096086881575",
                "102149394332218195896677242951548446983",
                "52975419894435243627511451497612451499",
                "156085403034559219903212697811567689214",
                "538534230129074694414486437432604109",
                "202149488471081831204317675639088582155",
                "60791093070476098296945706603092913703",
                "225283375133846397032893353730907577807",
                "70421929498067334788556246877470060900",
                "109867255746854519177896559125662698342",
                "180794253482255754418863384186178160928",
                "61971886743578423115754449177264320386",
                "180371175943353857517464811544443774992",
                "336899200291287127141550966530122575844",
                "75123210581161484835369207912402632125",
                "268193774317463208934158875670751534254",
                "16515577759950408263979787120373839296",
                "4922046447461732538509511537079410938",
                "286238401277131177811680907166971860358",
                "40619168702041995845280906963767690462",
                "288437384818366419569549197390724624990",
                "52911821367001250434659028515696158155",
                "12937420013185897808594810654283168283",
                "6512233332381758664938115195881900802",
                "6861346890261330228770851081882275705",
                "166221523843409784426150423733970974253",
                "22743916222874987546964781704131276912",
                "97082957331167922876727694967243479064",
                "226783707673294574113849250804093810782",
                "289123496676241304912649875037526835066",
                "70795996676589675384520761195930139752",
                "302709091531893728209645936170495364391",
                "96831794645324481142429615088826402981",
                "229868502328535761648453524416582957295",
                "332770838666572230744848116199165062512",
                "214443369312901778852265724557121998494",
                "71903868703483225993661609191094657860",
                "144609094547692684204926515032246943133",
                "37078848489432082467212435847537437863",
                "274998093242498851678812963509510252786",
                "24181318734225465050762397731510733984",
                "127431048797221783206577902007263187621",
                "201101816453819734451167627003669559655",
                "31047830775908462256390410132871132644",
                "80632526446106034834417164071424911717",
                "320599269743049819185937515483027175174",
                "334753940516716272380065492758532202346",
                "41336787246392692537840543099282305697",
                "128880803623004854350188043056466223100",
                "125994969947727678437297179433670315004",
                "283149458554871594988176417964835646167",
                "145654207068555318128357589011120806016",
                "8889210147166635499895855541688996352",
                "331708100331874385173390934085004587087",
                "242297908628537276732778124782301036183",
                "320560036501152850964250751077746468429",
                "64730941226142731025029987971924538709",
                "236345987315660857285599608447797107241",
                "151715344367915517000499899153090126982",
                "252918975135966180493052635184628252184",
                "209839977421715338434346660364809764431",
                "208292187507379026997981538028840128617",
                "150797816130210187680038397644307769970",
                "268171979481788138288532913644779192720",
                "160003728413179616830525503437648636908",
                "266343662331650851471415395256805171898",
                "209854134626721961613882762947274568646",
                "153814498934134372574082695356708931462",
                "81332718085987507139250245929512177270",
                "44500294683269669356871089666753707224",
                "94944139387594551947498963858815682468",
                "317558339754265513372963750394090222334",
                "44945084299375871673337244705994898807",
                "268493662040505827954943912191627569915",
                "148295485571959135663699852724193173754",
                "191260819051992137755289619629539281385",
                "259046959701080291251926984296146223924",
                "287449938501950740521312660606478486729",
                "161011404548902258313193676924213764980",
                "143757875584767266216925411620002504447",
                "163358977751772291497227920997558729751",
                "23848092644321877155546327088866964378",
                "159494851053926398843292961813379245147",
                "48809946636884491106283514008616740456",
                "78233034345072580873955588401790574249",
                "69516377362229100288931490747001349187",
                "243321085597637118953570118764124188919",
                "300729086435503864061836900312032087686",
                "181079654392473266686380667771324661679",
                "114339433617524172629199504435633310634",
                "12758079935179235105234729548963961566",
                "123842903400420821999318696199769012240",
                "156354627291183673831563441039650647246",
                "18108966139192878532967504090198747082",
                "35375042737676654350769950445044554924",
                "117065480818442922346167660617751014023",
                "46595782981591852036894102817449396842",
                "100892281780891050225131605775042270619",
                "133736777625346072608772902045134928249",
                "165138126674622456692026054269789460478",
                "111434285813187166641253701786287792599",
                "310209631889068780672656773178309747484",
                "123060514576117276265219100346388214829",
                "313387857522752921362792103119226978532",
                "224383927016039789475902591195183746161",
                "5760114019183059148703371632579741085",
                "51440301494564484319728410994875038671",
                "262216243799299744710258386286086983177",
                "4367096155014872416028549728215311817",
                "39336709801117589998387683637225505401",
                "24943645853736223640560146690279768027",
                "123164264354115050796192978952177550687",
                "259119824264535041529660484155829594606",
                "29085108559570200331389396178060262879",
                "49679718895516267052245960904581665971",
                "335705435102052386554377154910592365806",
                "173723684762225890292197316375933399863",
                "10627872490013826562942283320452288430",
                "297061554838127908357251782196763855404",
                "156849717511270496693133347383378245555",
                "322638538048075627330916599871708689407",
                "116375438694349839490894054345008738203",
                "72122850991047753068634397376006747032",
                "297162508469313857760801368102977751104",
                "219251636770462308422368256760769949512",
                "42837242626870481162794916229148575884",
                "212829394615458709706914935561033382921",
                "96363943793716079428007517034870728405",
                "320932294297105095696093120460391976488",
                "325061378089087943565763885016011757053",
                "284829764941984856172459844207542728534",
                "128844609287210011602725699224766380213",
                "159534106658254154179768889713916361747",
                "271179726511704641091052189689748452036",
                "34798741355838576587488522803779654561",
                "17687677765562855555810657540140299486",
                "292124514087667366937207191743766284360",
                "167378309381203154952572300121212641177",
                "70412305445604928198479458120051868325",
                "248624500099520720041389558379908196801",
                "59950404188868761379298536205665634938",
                "14493549620989821142113467153482251346",
                "220622164637471187145597133441376175386",
                "141658299960942437042858135678463027724",
                "178760966924102378025529558600049608013",
                "331622261976307910183027192998738451471",
                "175416277741451974881021425137277045993",
                "131431037515624352334633130945416737564",
                "294629785593099485097943523310140707614",
                "248016308511890316954189530443327688270",
                "294412784200172322279671696782249844794",
                "335635812083692936430568445922125281677",
                "98576968210810788895854620509013260569",
                "288881161834490582000319329503889896291",
                "123064473707109097544091190690893248810",
                "59090069372874376730104660947977481307",
                "224853304938748011155515185463097139295",
                "155074502320975302695501325276169456131",
                "181933079792055351046133360311677676579",
                "50466386849973682436429573462981549599",
                "174229960351148047555216847734531353299",
                "308782992262859567738292527286300831309",
                "151532064410812563739697749352940329671",
                "81660159231048906742531396732163861091",
                "38558935368802993381545846399111307779",
                "209809177003333854529434089800843342115",
                "9739147355004543615766434289808987416",
                "81757657788290922317516541948864693026",
                "63372901521242253789885671771642495298",
                "40473347835086270089243192619013320560",
                "311384779627508432986975429039869571183",
                "175929459399330734487954218741635399123",
                "55753731432702544962875493531207713171",
                "278190505068081419976856319951924044138",
                "193751911312493411360547582163874375849",
                "221150203297837258222972735009901784589",
                "267938188868690146708429990834686956458",
                "283397347437206261131196393345376071082",
                "212458711983309128546068493133448271662",
                "177231876095918402508526415796135398070",
                "254001294391904323031160090083199351335",
                "339541161951659044270731218421045642382",
                "168252306470529369373910988895371095478",
                "63883195751756822992064545977689629905",
                "42448250581844627057831610387234074830",
                "157985194850607286405055537872858250679",
                "199641446859946780839838858688990646334",
                "289007173746969962584425838127155736290",
                "252163114126581667245556837259671398603",
                "173970199473975443710922771408251126451",
                "268378413631984438585103249809906438519",
                "69862177105053679448303044975273970036",
                "15527624666176252560349414457744500539",
                "172680004233976066075961288331450125430",
                "285056711538728639251000915663760471897",
                "54439130089657576582613068337533441601",
                "234234515029358776360532465440019728629",
                "141051748677469234802020814003016752939",
                "76902375707686803701101767429494366344",
                "267752853183561100214790450639113245874",
                "81043529280098719843593854312694310471",
                "153944679734891914800617822253188606816",
                "155350218070210062870784304290220168165",
                "773595329114628538712735283827061",
                "52721817281736477646759215606712885620",
                "156681313652552879543115758620668178221",
                "149934527413678828091795099762427407746",
                "269573049743195148538205755514724441058",
                "183897654548690421983212254541439744069",
                "195276842037295680636143746683072025932",
                "128792612840134421871274295968566200733",
                "273742292263126203244110272550078507253",
                "312372326126273507019316601127485111168",
                "37060498038737048473954551805506317406",
                "191435300064386596410280764948141502800",
                "252278781696595786449531358440441836922",
                "280041903098858990582734087124758768364",
                "156010282102510573371231708573739892496",
                "24396716091078214886809429327633762407",
                "213159163497176967420947263934320309656",
                "73451058890292081190958262173656347422",
                "49892033734530808161512634711811778741",
                "81167863162964969455585267612701460499",
                "35348706317317188849078156267204396914",
                "33405346461876206166712955352110905775",
                "321231114814744112389340614782308665822",
                "133189477638949279482468362700593942509",
                "253744474325406729844705793552485119880",
                "99814981597900463215291260818334852700",
                "199674141652427517682067165960276640720",
                "116206168940789917706662016482831298050",
                "228541226048360755844344337675662978850",
                "243374709085456677042672851595416440498",
                "302658734252453674390960748553489770361",
                "34148364751410892502783704756928724531",
                "115023309817322295294739764488734588666",
                "255500919923563231698450520328729343001",
                "314090375340477816338932586990923995133",
                "23426530840470611626420449609879071845",
                "318509082470738538754580019607363556618",
                "290434096497978570133208098585982203601",
                "326559180109218940902414926558049520308",
                "76761832745096758273569859585778031474",
                "290384469794517331493366697412203249494",
                "273197794538681027251298955061710072810",
                "11581262928310754396456300277389140716",
                "317889104011141828852889864151227687628",
                "124385711389094474187568360208099410844",
                "138668311489791290683651510959414632141",
                "274916597880907647012027690137458928000",
                "143520771911230358397977219757075167073",
                "29389807654838993986734019120842962662",
                "273071982856431524843424657550658385417",
                "112090185385816200353308552285476468002",
                "320686693359662517385649885592062123169",
                "222837501963942722647829809694063574656",
                "272691592122884636678056975206090246242",
                "143752865385381681380344139972770648431",
                "266077184096854767405145632082725284811",
                "231037893503995785556844279841202765234",
                "182364096263855230691555152906510013036",
                "152432827729206004277204514104240757518",
                "329376971309247245417175885287093757964",
                "101844316644174601544732365868550732444",
                "317142181619593099432627646593344697154",
                "204246811530160585326056578778162524194",
                "20498946223722383624950770073450616255",
                "116522076196117574896775063534109462726",
                "119693313937728236663097238652298546077",
                "300315427488945978463125664338844819596",
                "219092493346103354226064985926009989181",
                "150861784255630707412626802714506025883",
                "276253876374894944503896968601676138921",
                "161431268034334872569710910400089719172",
                "317139271709458507145876388682502792598",
                "262678639513551891084750830392355929285",
                "109493346564869922930515177793973727953",
                "78580226152581258751538141120815160521",
                "112541084564957517381574822266687031380",
                "227598967389514094778769571981897864678",
                "255423145302718807148406708710608768055",
                "260139863198263300248534466649877618185",
                "141719960885794111452217060254329461824",
                "197642768912626732970111853757023509219",
                "133233326430381835096364479573685652918",
                "323740392728415124980942289234446671943",
                "270016176699969477907666596107873038158",
                "330815157845782467184360295167532150406",
                "294398825845334834024788809023860176487",
                "45960624787455663231129760905658355585",
                "163167465529985127572273894126048022822",
                "46016766613284970576641402764240170458",
                "223536414118412383207886614639669233781",
                "91086358836871411225913764003100280623",
                "143447710506435323912990258872460146925",
                "38376224993731776674712213409773878058",
                "212829168576600541700596677746865772999",
                "310190095340068769986000607100762312081",
                "245492960521197593271140556705178543827",
                "32744335036665979182645398545030389429",
                "93341884085103001813466938087201863541",
                "63049486050172208065021740208197494209",
                "57595346523452626069700083696975289647",
                "317337627137568096401640164276249970717",
                "17106681447288776377856699840224740201",
                "317728685228856090064624668571131101494",
                "14506919204139987964844429846709689400",
                "82111347492161192727350166880397992606",
                "247577874843944632128951156899138056459",
                "174143821939032725552479809195885741622",
                "274521075652804966831437422729381762761",
                "263406332289155239837967262206290225673",
                "5211580198611957962887205916828313585",
                "74683552379016440110359313992302452885",
                "225237669684731691233359753437791796264",
                "188951169667293160785413270245949237499",
                "222546420095232017616295868237357002343",
                "234255283895202228220998003417422452587",
                "40973380387851322361560684914967347157",
                "176424290192600135406062000441371923995",
                "196872166257037214211202543029447437781",
                "214672666209885229916175353009024785371",
                "101282563968168751250304236609782591606",
                "970736261258375133945227675846488986",
                "201641805142903985979986146089551235258",
                "152261517656912778937326493180161626938",
                "284758845483159897515911241641344456204",
                "177741166630324211625351973892977439714",
                "224408958838552600487275026817143523246",
                "5598860906677430289489897886953546709",
                "55059543860396579594659422900801528350",
                "122253381238267630544033265540716011245",
                "224413259698035087280909779233300847059",
                "90678534026404853415116201684962498877",
                "110573262894544638372143032005008493588",
                "185151335955161922740077087812924518826",
                "2595525922294161828353054150117330293",
                "26589877073759813263086839536013825908",
                "291810270598031968696758129606199161651",
                "184514781055537047647466517600971820331",
                "305178361198907063582345460781068267073",
                "271470043742172876152875007711783492608",
                "91260821237900081416378690072815311946",
                "239719476313184966028635653714361480157",
                "208859771320650039361533690011473904171",
                "212057877756231346635904240909319837947",
                "151202208752996854095990467479041766090",
                "257764409629960071509760235796641957524",
                "34250480532004962687510562880944792837",
                "239544077223659539989698268504155448779",
                "62257118092093945931348126128330082020",
                "151755902329809775960740384660725038402",
                "18340657997780852150976441989249722043",
                "236007928304540509365164246967495349690",
                "217426107275854415352219301902703128312",
                "247050016698716274589382365207571281838",
                "117745834262848925006326134205739344209",
                "58901772140751825671479120082348443280",
                "323199020306747454769808136137155958934",
                "171563582920391998694568665134717742014",
                "141709182271718019712257981038267043262",
                "131650033520699303299085893944616530944",
                "207927356821146570286024243013506059967",
                "282672128246463103332112584134577271912",
                "26303689457798088649511223621804410180",
                "130168246970689611537199097287332383067",
                "180238873497186484931266330442843471772",
                "210824818908960961342701087445471743817",
                "120358584689113689357975559262079732015",
                "41441571100848942612539809534481376670",
                "95667207473590794221133825756930867402",
                "120929968726388202425754572259822912944",
                "15879614950437320872073303358516929883",
                "23096876230788966306975598429134869774",
                "16476910032501627874788757615510898451",
                "86801064023429339585197358004482865330",
                "58989102932675430168736691707390302159",
                "230671472559174505271722365706714956132",
                "318157722410680597033931762395255937995",
                "338131188200524364612963645741218237073",
                "109566793833649957583754343088017465207",
                "32416729413803951487126322985350677714",
                "327301933803719637665109613995595831594",
                "93144036200834657818767199440629437013",
                "161140095024472350148142536339772866596",
                "22503512328411833850971508698541349638",
                "28710282197315597376917590684635891737",
                "202651241998542937143870694207298659000",
                "79672910438888619001284884945727406338",
                "169882580901878068460317332533820103690",
                "6542774928703100377288204688981472615",
                "37095330020244601960701735927396895127",
                "265025375900415402339620694358753718702",
                "323376979243443127516532954595397700188",
                "286770545685241788130319788123894038393",
                "115020819191179047116852171422804998269",
                "143420140337159146892318925963659456856",
                "12476404512432373966226178918745984882",
                "264277544930307367009347697696311178829",
                "114429091057072870544009669111155651704",
                "136194778678978955012387526116902544394",
                "274008276580045499584645544206988679827",
                "273759810569348479242423791191640939437",
                "113278811929792853744905355860522597640",
                "328996816573768254976306179961807464972",
                "218737793639796384243275159642208240814",
                "204111385572691708113787906969166912774",
                "120437405905069972903097866100246437246",
                "286606955358290301295670080737546310469",
                "58477311169523312125268706914147996815",
                "136567710905511499522188153208896768060",
                "163119954723466645791765523521302388851",
                "252588007226226400036555823625964183852",
                "144828861324292124094292126056179926001",
                "108132774253601681026180640469434307760",
                "332612101600533238313154034466546158398",
                "187673349410272819866388662692547410016",
                "22476432742228841499870658713824850661",
                "279802653580250568903860671589669463766",
                "290417365954447368619305102174114037581",
                "278307918228159611709256800781380260271",
                "134495258538486441111920450659145875208",
                "312042455856327181888970742836422433882",
                "167090492534467239022751636679016100476",
                "20989325230059966286315205265331633581",
                "233307723804705240664829409418096825595",
                "38466893201830089604888857301492961076",
                "2001681875644982221994058552826903504",
                "262187644383665092958114742659130877461",
                "304769553168718643925039542627113070416",
                "317021220005524417637448781250100334203",
                "282969002602624724820244781130991620526",
                "158664399440618772186472066784206922401",
                "276316442534226755793556295766452444414",
                "325808227553787892063460370942155211249",
                "321677139989278533300160537617599804840",
                "29005064200495758620956066609590519044",
                "126015330788796131281730010198565922347",
                "179349833536056741093507602230346391005",
                "50809663008834680888795849027549089489",
                "312713944647892907580182580630273524820",
                "34543927084090339440058866308633909375",
                "108949028240931430089283975931639609122",
                "126815507182225149646075263781638125615",
                "209085032888330997460927883649070006628",
                "301065791898715580388786894572585886677",
                "144536879053361012903321587222676195715",
                "35807328649094394381046953229479006322",
                "89149847171827265450202186486919643527",
                "157751027871242470160477508264915909873",
                "203485967155040341200041851421302104451",
                "58404274037678587905206977512102981564",
                "293956989288085480400665843987171089403",
                "234116298388838253789519773984100448259",
                "331468322390030948859485876154741245594",
                "302728565495890235253972876096872265567",
                "249955185054259597067148606937522930595",
                "237851741400227842515561308522306726594",
                "111762075660115597846037919714270086153",
                "201631429399790884080385134185415407606",
                "88094730232174578345082920340836748737",
                "306755472974168311554679031404653561379",
                "180181933187839801200128445606805005239",
                "292277730185708304929594320215641385484",
                "225612872071951501693436046230053171010",
                "28376964547424103303469930771623735250",
                "201169419914246795294041374715311734572",
                "125862260031619358893232872782181421787",
                "147097467332553271479426669373723068958",
                "282642691028162083777000967289353224775",
                "197159357514750630189784171416818850854",
                "216022198466383578833216190803121438260",
                "144346676444806068206616655304002136425",
                "92862097486184108710932402612543337505",
                "37997468934360002913453221753263927110",
                "43910637257502572270158384724936993889",
                "160259694449759235432163359552676880771",
                "115440973520299101210404431041327419786",
                "301942489193694900845430345405582577472",
                "315344329416303980413168987894707485323",
                "101373481372208034271610516163669148439",
                "258838221393663985021491595579086580446",
                "278041475000308774849095079761301866136",
                "200930625421918577902816983226031977493",
                "148681206648626457493889531263381805392",
                "340237531677424777532994107929609931022",
                "277060581878024662935815962196892479695",
                "113571334723596499598633463878375908580",
                "193200188247318192745625442535983296882",
                "197188947496036963750445799654713098680",
                "239599788471093398043259716242364961516",
                "282132002656771667001067388495681741622",
                "228141182577515893354434692034324031467",
                "121834139947072379814251189468769497143",
                "217588337944666443858562667216718856333",
                "313516110309928161285223215083648957167",
                "91015703387991102606861017852310438887",
                "26584496053199838968020084417312437226",
                "131481869470504725324226019919874771656",
                "195479136085691275574934193720330512897",
                "91345222659611715687687114943572070553",
                "200384874553973792871553266418533162641",
                "165485846756357216487266073238609749031",
                "86637711603974122729365156297606603331",
                "87699586331086941045400224581710540398",
                "157610621367841227609200912372328164204",
                "338330306147499639392867628198573215939",
                "119422625630905345711859314968014052704",
                "332535877719575352190873245593753927463",
                "301637737113191045019716278913659093488",
                "26707587847782148986197994911260759168",
                "216969382087081583089566523513724570200",
                "62607552866182233300005510065684821765",
                "326564285568597364268567168956941437002",
                "268682497635463070379433416033529460744",
                "259232031777620870283535453512038713882",
                "168786451082378970791099881685325972675",
                "167150057369213839272536425638470092620",
                "289346367745501614215739453691752914905",
                "251813005036530912932045227784479842801",
                "6577465656725241465290898075112380379",
                "242623298375779267176754902922465033698",
                "212466402435375842801705162559041011979",
                "301057084224678669931208981566869958377",
                "272555798394329595106197925191777940467",
                "312695110231067711829204347824942738912",
                "215594038640991132608172789962463451304",
                "82126847499543492503884312965334728442",
                "338173957968334295093935384506762669038",
                "86437427412511496358384553952092067776",
                "215854520780432663482523092644357712370",
                "142746458533474262622973265648067264429",
                "122844355487405607959387344957893972814",
                "155953067579419948883036606996015671529",
                "132163323085091658798918088851783918530",
                "48342944689203809125885229446617408497",
                "257030781546104733297300311548913379291",
                "121921888929096270630126831359693740843",
                "244553772520204315240893124730100346562",
                "301185124450028555338486360402277842530",
                "190723355051935557474028180064711648742",
                "15384180920179204390012597470583326823",
                "334138884853114274153763902966663180410",
                "124929644962057183932100666180333243578",
                "158495840165749100518894062224668300603",
                "75552263079943858144912591076427961397",
                "268958394248621561835404685261154431730",
                "192054584380846633726800666656297411499",
                "22512794482370436452596132782621116054",
                "35777584462398321917261921808988606256",
                "330094121736843556190057632643903063243",
                "270924466417292773608579786280855570472",
                "126625111446516664735893176827079351366",
                "307508450034164919407397313157484749134",
                "100920765852599292028444148335480277958",
                "328540160960773887559586059937921044531",
                "29004949799059352803660594758019571995",
                "55281779473105257970434835895723742029",
                "1280684240851975316904831169390512356",
                "75563671129298156752137205605428069432",
                "321771590252373953528424962121672743",
                "178554035919539481334457837353151430496",
                "159702957169355522348596708692205443747",
                "305294535192281970279968154814054356037",
                "259792670923496035119512398569685395851",
                "125871584312630499283522258012651627304",
                "27727035971185837325136149875888426459",
                "198250946514234642755766860828232816372",
                "66582467325288066291216058481515924687",
                "191308645601429389086099119513534017439",
                "294255051030966163177327831879880019880",
                "121766425871510750162015174828852807968",
                "301147764893114281187171753272215500419",
                "17842444801895692427752076099572886918",
                "55824999204022335252364593078005511967",
                "55898867791431748035773105110855365136",
                "255327867629186123932965791420485894204",
                "321862806929288600882563450915587456621",
                "287463299369852864248001797858537863778",
                "332784834643623512355699011784714733013",
                "187464467425407209545047240159986188854",
                "71405509684542952954222737869085075342",
                "137555319939918255148745047338073693912",
                "80073072698670744140814499449861038546",
                "169857754684880173649700996130798920464",
                "40337722652706183362997319101891991822",
                "264755851514201553787330515073724385060",
                "157182504378014715114784335860725089739",
                "153676102207990580584090432277225717056",
                "337345270452041431372855130076963943823",
                "11410390365596796531514680345733896169",
                "275198174613246647073404704247237096116",
                "333779018846733012093657173061416939903",
                "157955114391446135696633689237305064614",
                "327746294978830384397702094977293922745",
                "191171610346606771786667600617405599615",
                "177300373010675167731720453169786174940",
                "171505004836113060133905227596374774823",
                "232393045569551407507105091851380928241",
                "9391680442037650407363321254485658767",
                "41167174967059569022284066643774193218",
                "203013418504938255223985385338153792962",
                "157193776873639080983494710217194281069",
                "12952092064638726025009052533937443365",
                "256874439305544306155510330559429695824",
                "215865711054837534950644987388777695845",
                "1339473380347505618662665749678119617",
                "202378766942883370904792411466675680869",
                "37389297347643674800839700584789640950",
                "289429313345867584280504921454921366495",
                "307449764118140123896168161458739889472",
                "153722949423946850084383216037263281343",
                "165849474133488892586658677523178603927",
                "276722856292243252076807266307160736468",
                "33162522801887837593722892962402561761",
                "134609091801080678136381085367336484064",
                "323002958970581614214512405342023565705",
                "145647091901140427252655353199224399107",
                "263718606932613449442519982399036358218",
                "79137363406150465095126757840139894792",
                "114055336871712145628778701015564980752",
                "131474248708738616794097886717828309511",
                "226036380895822471239074431049508988478",
                "206337645162147726665185948431379269938",
                "48009606104536929815216595843222340941",
                "128848475209822312137285046192468869434",
                "100842156929072471923748267095292449606",
                "60810997819988074318654248013601134148",
                "291700791784621263432412421651692231224",
                "231255302675346823656574022574244865176",
                "35878764657099223586421649543314184629",
                "112365129408528826958769131173195628181",
                "273403834806976421846950898992731349021",
                "155364624660731969069278795238336733716",
                "262514550048052519057423069724370926067",
                "149058038547318787337186804986621827892",
                "27583559437804888696888407749103140143",
                "23561458361703407605722365436850565851",
                "257202303727130628652585171522671702672",
                "316809955471367270657050766394315384099",
                "227830175674780237996167023756772968592",
                "289199090209717034950750533230898285273",
                "33083387350772472544462783002343782775",
                "105849769089035858696418525375797358956",
                "73389905475120025931626588602664284067",
                "228313462468721447333606746843336566751",
                "163858398968399692778665802407588185278",
                "259362716895131996660830576301496399333",
                "15144475945421968981939959961129132923",
                "191657024829349996554540831282182577901",
                "136363879920172659575151021612815054046",
                "203721048454249967527998273915523029437",
                "246739764772246461610148737533364952741",
                "145760811556354028970680134142671214080",
                "227816683297060498773088042627633574577",
                "17017879862620800068861103074034390062",
                "115485432849813200635344172112285226652",
                "33085155545412091601282724704653513115",
                "156204808492941477713263712402582440609",
                "202568553829005564837669515484736778484",
                "14709940927859284239018007064624372986",
                "273471687119676862158632381427295508126",
                "128251926454834282224330060671081777320",
                "222751096830155671831922426445174534993",
                "187965714420650358060369636405751596966",
                "336816343447151893346182320664507763962",
                "325497457090765646033681616879040677708",
                "138064909020502375975562580454442081381",
                "258822851647524791046458568538226678023",
                "214438786061731375785058261966768013077",
                "319868471657932858408997202988495591685",
                "127130872200372106015894982888335170986",
                "219341802635340848491213266605121265230",
                "109592851822302817676736730434028067183",
                "261330317580771379207913491422227762426",
                "296259623285147930442617277075077391432",
                "176911923316477162049082068174018597629",
                "176602343751002810234913509841007796242",
                "78848775627635556591427986473083543219",
                "300556526277987975372194664235771023784",
                "52718138073221110856169163009573377427",
                "283340732179231404965598835751364020435",
                "63048743446599862464185571580784108631",
                "173799499434962252890856614822053024835",
                "302680274529282610373672407938594956581",
                "24878543792501494787052598224663356477",
                "182639055226539568963452374777603472822",
                "266607081481470568311134239387895297230",
                "314729940778702707773430729740052275169",
                "178161902964339075439359211078999325945",
                "279856383701610791108733870460240179886",
                "165607835997728936591236747325672806664",
                "183934024115118441189580849511964034225",
                "117218551999913953967507606574410149021",
                "277378958968613799914890314092514566351",
                "114925073760797487268804409453929016975",
                "332529732796848734989045835358122902659",
                "308215402742540988043552628811199233476",
                "770500196711446010824182872268942552",
                "164164063412541271535123162088288676170",
                "283657903486064902829287442195769310383",
                "293328193425605686060280649917858479552",
                "116545810923800840001968611939498418644",
                "322921864291341483041952997084181555149",
                "164673173224719508932086304977445221527",
                "304968183120980729216129966820419891895"
            ]
        },
        "id": "CVE-2025-52484-1965111e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "168622132752425692185368573944139435921",
            "length": 1695.0
        },
        "id": "CVE-2025-52484-1a72bc62",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRAI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "217010835351934655640735706751813109122",
            "length": 232.0
        },
        "id": "CVE-2025-52484-1a75ea97",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_IsForward"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "21966768288158329163739468387396001048",
            "length": 897.0
        },
        "id": "CVE-2025-52484-1fa1cab4",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIV"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "120239796599343901893606065927841511024",
            "length": 903.0
        },
        "id": "CVE-2025-52484-1fa29668",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHSU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "337752517741807113354660641016320418524",
            "length": 13122.0
        },
        "id": "CVE-2025-52484-20454b3d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mul0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "32652557659776978043555076759683600890",
            "length": 43221.0
        },
        "id": "CVE-2025-52484-2289d61a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_17"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "35766643876098773642595122738188743604",
            "length": 936.0
        },
        "id": "CVE-2025-52484-230cc933",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "21966768288158329163739468387396001048",
            "length": 897.0
        },
        "id": "CVE-2025-52484-244a96fe",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIV"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "191170653917283666889537739456682028778",
            "length": 1117.0
        },
        "id": "CVE-2025-52484-24a1802a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "223838025936886467597437144454496981401",
            "length": 2499.0
        },
        "id": "CVE-2025-52484-26614243",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_16_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "63728674431571759982359928012405093024",
            "length": 1468.0
        },
        "id": "CVE-2025-52484-27b2c8aa",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "246379655582490648282409303730340532557",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-291ca427",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "321238884313430441161625131752077866370",
            "length": 928.0
        },
        "id": "CVE-2025-52484-298d67b6",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTIU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "15352377938109321421172753139396393127",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-2aa71461",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "224971816334070627011650414858670630435",
            "length": 43788.0
        },
        "id": "CVE-2025-52484-2b6e1e27",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_5"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "106536261409402400596361571361989969819",
            "length": 45120.0
        },
        "id": "CVE-2025-52484-2c735c80",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_7"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "166086549298887431495680679096116174286",
            "length": 857.0
        },
        "id": "CVE-2025-52484-2c912f0b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMUL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "255590786310927363150050622603288773540",
            "length": 7895.0
        },
        "id": "CVE-2025-52484-2cac0b98",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInHigh"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "499924919537416750141070354553035738",
                "172048518819336372272405053024639473744",
                "177951594727892571339029658512964318531",
                "43539275134073168407608027009154844927",
                "250030478236799028589119642692835893710",
                "273771664148303052064282587472301171077",
                "84612714392029706270581302052695136082",
                "15103739677049227074447078169848184444",
                "99756871742113158285082958403922891606",
                "334876475394889649105838236709880468318",
                "68799418628141165872575651702364837860",
                "86690351344727543097718955908970561388",
                "103395573611486774543858385692231502987",
                "270535614770031338020377120692431025215",
                "104624973897181020518771104058619907313",
                "168655736508924271778900229882125564192",
                "331920409660165368045415521099733663748",
                "127567487671259861696491273797253389885",
                "187599384611162774371103960577566501523",
                "320192088288490591711435754902109331459",
                "85005160154299227463095183581020388829",
                "155503931618744283802509495680851519814",
                "16542100246677593479645979031352198410",
                "133845484946503831982899418963896852657",
                "197919712886823738786106117540032643521",
                "10068997767076215127824951793672389459",
                "267901948032667964668179894363428431837",
                "102967073932374699229563827052303715976",
                "21931231688603989368313870027858080789",
                "163000725882436668020585481154977002114",
                "261654431227822949758591167692647283373",
                "41439849429730510492099502592906363708",
                "98553068999890410827830276511792661117",
                "61143733454463817375615566727203553283",
                "144814076565721050555603097298728573340",
                "74373820387408649493642597874753799150",
                "164172595011779870588379161684355837438",
                "74393397500459934555463479449768250058",
                "241746083850679865368378526624251717465",
                "267108560520028046785750515724162603855",
                "144284476081695964085286082209099965472",
                "73132046223314818615150499297515461469",
                "219576145529926015141762656953138152016",
                "101279834650306418456702848948699737398",
                "187667919102481584890412018833688856671",
                "162370010516997328851005381841026944566",
                "131586838804970282083769330423641878543",
                "113095717431252877413595786782524886697",
                "290528510588554060813492688624823593843",
                "259022803430028129558813048209103613234",
                "35807527971205223360729405712192409218",
                "11891440139866121542616773575841228457",
                "161675673489177350608814653583983741712",
                "212598149148381352258809159583470585060",
                "11385533076636347523219610777887249654",
                "235605451640252218168187370980688491087",
                "332113965364535117740561239500318414650",
                "196573907632262560220428869177053765383",
                "208168470960606754094787007602724569994",
                "211474197580953666337194449754183028535",
                "225684224667375177434164803186657394424",
                "55374224006765187358389223505261704423",
                "204528515117610432719726691640232468025",
                "175723178704171666917417741937383442043",
                "319412715956258756005916493643434149676",
                "174879143456371584503697803971568566109",
                "273876227562177839982938817137108586654",
                "286189707924566473651928408274409924836",
                "150707133849709224381868696093981343898",
                "155118825541077248525421955607414029366",
                "238182132301252233273840498048148534601",
                "269223125245150218523866895793562316388",
                "70950681154236675043793757737289114273",
                "311064623038756010722731675028124931740",
                "170242721526782681801102462489188664104",
                "15441540185704473914777403537059733003",
                "151540996536003132583942095346179908292",
                "318980252792157670826648010406022756479",
                "75379074271716038224052739044023529385",
                "76980092061586597738935348753488752464",
                "179609581796563619760987105887558351138",
                "94071020775867333773431955754735785810",
                "256638762625712305027729174872974009238",
                "320809248331850428910814399355991855728",
                "264010179679500385658104928750221946947",
                "37059459796650572504131133575381560506",
                "124259679526673185030609964068829511828",
                "62957664308643072152241898700167889386",
                "209235572261386097043442191725225742514",
                "289220836111794849148022452673405328259",
                "21448206200381959090381451465018384049",
                "293705216086400914402577000592594503024",
                "242752785003254188033615696661004507662",
                "223920261129208012359627779203915853928",
                "128284140410062879999475799536221615",
                "302180453425742127546774577205998232657",
                "284181187351756542076709786314945647322",
                "174743829910793024766740813664694794800",
                "121084841354812807301277151803987438599",
                "139084822136963127210071106855541151678",
                "57913666958949230371617286860035786864",
                "40969764745802620793631735976325901826",
                "311413357686278387871548996253204841968",
                "164855966696707664260249260193480469543",
                "261680478985132718858291552553474621568",
                "131738128204236082221663885440143925233",
                "130606509295389514202352714462132916710",
                "182178433365669780914843518124553394746",
                "298368064174874953613009373700316330115",
                "255371258024852298216052801319937203070",
                "32892508088008401028978788737790358925",
                "214056068822214593469115702477906872594",
                "295609505234554058718845696498019598382",
                "150292336494536207526422811886788532437",
                "284135120288178870573228069008940087308",
                "65404448752028435878527520973202635338",
                "273433816411479095754301637092064988186",
                "44156227840072433264672166507561969622",
                "59092032006171541874288784680008981543",
                "256162472894573838832854936907942928922",
                "215809671200128618442765900448888817975",
                "186997108213906688381967069178028660274",
                "221231582444933291621641695811187038911",
                "291264778114431736141340202172677954049",
                "139585304559699476770377895186142133270",
                "230534142966827492581529957400069461351",
                "38698938618296348634266654749852868772",
                "118532184020942606531447192616530263120",
                "300451938905103164606018570734220675453",
                "174856350075322837308755766543718257064",
                "40960870249662450145978488468518509937",
                "296332313351155481450297068275336769157",
                "36049302459727001378407974703763350143",
                "269340946493732464418672952226522213575",
                "246171015696412264750762208929478846686",
                "48023228552742014669204789047516826745",
                "22903167475848278246076316398920007667",
                "216922040007112000901302315691364648322",
                "147369051766898391606563223701703984195",
                "19365693745348026644815456997169122956",
                "189728482687656245620819336259379153155",
                "256694865667835151403121466706746368146",
                "280760919418283210586623708088355251040",
                "328437004864456994083376725774126014386",
                "261398542654850928613772570555745093639",
                "138685359067725461410442826590414878750",
                "262117528625867635507701137688281101367",
                "131547354718280118204415939921567097307",
                "39792144353928999472744298688606698770",
                "65782390639388626922360069382033688542",
                "103050062606506201893213903066191779514",
                "188277047110736514379844629101840121959",
                "86937529591005232352198859897880458228",
                "89833337799063411709858968354509404997",
                "207874760291594454705163771965895388451",
                "284318437924576941697169848426811595626",
                "213704048520958091708914824371428940984",
                "94316607940459141925709380013744493778",
                "220110447031520650099242770639800919080",
                "235589863141337108376468679564631434451",
                "126967046045540674341895757835576898753",
                "290556659700835523511843867538475026080",
                "335080036255169077666594466081986876459",
                "291982677240845618235665792308920295441",
                "20343440231953131940206236594647158362",
                "298393515779626415334701275721450761297",
                "242333953901525330000216167215927671517",
                "126509751503550514615764580037599883635",
                "339725669280751247517342760851203934252",
                "249548032986667900941325210970351536222",
                "38378002811099837185742714476138250598",
                "98261231658459857224400198378613140108",
                "272605640680763056977761111164123559497",
                "216063680181315582662453524365717004546",
                "141039915804337229919959737608729706491",
                "285897191095057052029366019856592333634",
                "321367515127495147693224435525807724333",
                "13380243714205263656587805463138624878",
                "137322565580485794663997719084598003194",
                "229179591452557535824277423243727936888",
                "307088134231771290959560314610705978372",
                "101600159395939860088564036911424614286",
                "245543142480433797281269940604658775787",
                "92593576713809597071765220475297015011",
                "264263400942293911725720116332976706945",
                "206888058031197379000464520107295730931",
                "321434151627688065489759620949101204597",
                "272895502540326403162185830614175941947",
                "86987423003350529284508950922231818429",
                "307381981979625788612108826754646545736",
                "327975059199700676287047841983091576341",
                "37841831061275606798275372528600330285",
                "128552101398777713603706587541700976710",
                "245590349787684501369273187220894372915",
                "196801751906401849659452170468945516237",
                "52285874343489011733091794933999061987",
                "65453557805511022197268988877178755134",
                "265756904952137605019740591161503908228",
                "115145411154899464323753557650608523773",
                "272220149987622198018343177440328496830",
                "174703796023057428472463764575234898886",
                "72834525616704864958527873888945136436",
                "210913924473062675312936260724885917749",
                "188079640175386924429982150297084371251",
                "152889258574420455195081749774018812739",
                "217330343638918529260540099908508312321",
                "70697127112468476698261084533699242220",
                "161387331154897557471944223722629813357",
                "133310776979256983790845962286824706860",
                "236570453824558894278945234957786617595",
                "262544863079557986080370715133437942069",
                "140811289656273129477074666027366904369",
                "320783219670804225284291635744162194717",
                "250760634857762475901799573874646282272",
                "86853620764577728630170850183434051960",
                "168419231701214265917954130064472808084",
                "147055421406598592113091692877999912845",
                "149899045978701287451668367123564826997",
                "261523197773584607943207122198869936461",
                "131506637427115871347838794378863297602",
                "286631205301811213538498200006171536166",
                "320524578839386997405823939080151186810",
                "19314265916314763870373570484754925950",
                "181027105811982174709049810594611557494",
                "325683380188071044084716019963041137809",
                "148621610355678027861270895761468679253",
                "133794502788330316883746788207737685593",
                "84325401100343433120505319499919138803",
                "264796166559648471791838984870519834817",
                "133917817110209527894844404058779958972",
                "238258505958206506206993214227002963248",
                "82702514081305162770561297296057006775",
                "201386802504313587663125768450492559676",
                "269892747243126363302427775507017244275",
                "15935863505185879154481330670312465168",
                "178843668548987068500047445950119902891",
                "336475763571780448638224342972074673619",
                "270779940448604332574356693987991648632",
                "323481806700884286692513053811571267318",
                "109020689213292432520182657508837767784",
                "19885002677887789190877170024163608860",
                "338644233244610787095712553702624028920",
                "296973855240745103138979958468695882780",
                "173841591250348027914900607518209779617",
                "56622245023740017472132428945767280653",
                "194465223246332404855684641097606793594",
                "128292702576397109936050385877800548230",
                "316583831366678175349959984256761204687",
                "158037525951409871933481725860655825012",
                "211379517204179371752896511544245108656",
                "137970801358484416903734732162231310611",
                "19911285887661712265367623019975932634",
                "289826266448702208905463679255826689851",
                "132117949674683607552920098119211143520",
                "28504130045607301626170859528759040980",
                "209635033657664848581642220782605871215",
                "265516073886214756312087721909658042651",
                "209243142200443568038826612887939342830",
                "103429937962903099827749313104482570471",
                "100581143399397956268282282488607132739",
                "34560842809367521947993723942112643498",
                "181999457524635911095666021091193488585",
                "318843370546332899935004528103687409215",
                "92828838417579622186029290575067178849",
                "204550294602159362024986641248841788626",
                "231428169454685906314478323454006976442",
                "214878089942626195595393919431454603468",
                "168283541632687987750971897875449378609",
                "97645327336972593711792534080151187019",
                "328761484036663017389839628040731829487",
                "55219315558882580274404928369621334402",
                "30591854437401846427314774913201553331",
                "162251229240320828092106896751823881941",
                "55823559434583653598268687144872906252",
                "295576858982821791893319399498712106594",
                "57568830698037609143036633915905510379",
                "243029701937511703147297527097557560505",
                "30617175684499275069445364827115891551",
                "284078982578926787347820516231077716990",
                "225912407606246170857764183394032881996",
                "3900325129569568136048991754278456887",
                "33656417377702605611122804276394911645",
                "291546546244800806424226835899860417626",
                "251734140523210207891728605540523844086",
                "284622261521112487073687517450083042973",
                "312505855241153933543612533461039912452",
                "36685137712691285573963673589772824616",
                "139811881360161048266942204619569492922",
                "93997276577687013186295286992535847175",
                "223915419949912453760744768482297596379",
                "280413360100000462202076473763958402329",
                "305883291155071607798235623257101887160",
                "62279751107805870557161499893431311611",
                "82572385495106836560730363937492541596",
                "296434329919577091809835239590512266500",
                "99364800684590186087418743663228557305",
                "16038689428516089314259998759112281526",
                "262137750256929542490647655108759749732",
                "103442353611358129726891858001567150320",
                "232008365697944164230594341331540382663",
                "53768145932101376702034665839757552377",
                "87558840357841113448757703667544461605",
                "231621607441508285462632796529125293087",
                "25079230905892059984837218520734682995",
                "331625500359064198195303280655120732596",
                "313440454774284983295334766043589023841",
                "182165997227047497823210532001858340847",
                "47700735588054604490864097771766878362",
                "128543561830233361828863262661362379503",
                "320343242763634943797255714095282734539",
                "277880228867046035065441327640637244953",
                "21944594534895606947805029382366281038",
                "56163178739636150761144362988848271546",
                "15935559276138912510875065697901910270",
                "29210113095427329529507426149672950160",
                "11192299953898281350590423099205045552",
                "151355906556188317863375838907542980101",
                "4362989544237955747300555757282960669",
                "104287700764347266837291412929397830940",
                "262746944876550608851512208232354329578",
                "326957186166595235000433948459725933218",
                "73559095509939277735032138749533028861",
                "221704986858570082315993451182898856282",
                "47805227461407168227655607171529709359",
                "31917347526848788585658193482865862083",
                "139673554340587743229078049074832410647",
                "73122696473886497956405351036750251681",
                "248459380051258135687942650512308989130",
                "77851936442977859897652571057282419078",
                "243330218981369984393097567064360254150",
                "265617474728398775194590738741940705174",
                "189665940877342557402904682994548013529",
                "116548481153044674163783427116036970154",
                "233732180459508808093477414501722782005",
                "48426800969572183854737949682160389040",
                "165637006452986738669659923292877279110",
                "203079440384805373671864831126508980877",
                "291566227020631734970571433812894037996",
                "65485630086144655031663170843389222201",
                "85197969806261024616967681927517331440",
                "165877806028358978174151564274536135990",
                "112778931257971147622229546193281617261",
                "195042940379323905615939937069223699615",
                "128010336283153398750512323547045640767",
                "139582354739302452966996132202578812673",
                "39174427653140195306938907795302294690",
                "12234422687380548549694184010208000998",
                "37962343390672860729215942840577473677",
                "183006237962301424465398878844254323179",
                "184003762689458902150844840232981454238",
                "103414771349848241095975794577329652689",
                "273032919951782089891090452459659513648",
                "185968885584222054872263083004668074864",
                "237078667000144651209639067606731657684",
                "115804281729637310568080382643837234060",
                "308040745211323943414286241334272575684",
                "66217176238911798966400663547990694905",
                "36148938866142852961554607388462801385",
                "143465332692091682539715136215082422742",
                "328889793768773691743808237774707626853",
                "201843759791836840792354706083537681482",
                "194235512002653865347460062831594936873",
                "300176743831002470567529594409181392033",
                "168809607671509179892428863497532427095",
                "204042060000671946232791399986058143118",
                "276259466821296394829586074656533944014",
                "164615039804573121079354282336301220048",
                "208023768057362504613658362703462977922",
                "226627913205882606637311215029469731530",
                "332490216109117718775513021706309766583",
                "307562894662981423552966618072795133272",
                "92797059729060871814377903413963915139",
                "247302471390527791645639200118218874885",
                "2382861341142135621701804887126584274",
                "41451857694796926050947981897738136290",
                "236172670670860517307608277270581223983",
                "200639320343893243789790040421718974471",
                "42766281421506551488966240866647202493",
                "92469934846087028218182704869281487852",
                "90545581260949705070530556612372990430",
                "114876469421119339503487620647188490179",
                "302945848637133940314608598900808020689",
                "103249436712558419193836042575213620744",
                "126836924473807831166994977263614523915",
                "194599907413190222642344281001068660857",
                "150518776301318248694408642671286360828",
                "50227664501730491367003009815801644381",
                "121352768437256033057945464756700362679",
                "217759210395703310808312769737662028350",
                "57164793927316525608323898990557498055",
                "190231871863444269310949605133496790678",
                "144729126027173904510535805535494962169",
                "278815530589750314461313573391697197803",
                "299729264586680037235755392308288636308",
                "288188205973037795242086076273781854459",
                "218153339487062863212716525865678735628",
                "214823704171294380025774218137983889377",
                "107508860781601580008042862484942076177",
                "324238186485383939399998686369639672991",
                "27999905632891697324589378255745669864",
                "239709500886502254350538746829416097912",
                "214474909689601506082052379173209554460",
                "118195958537138432692563675823304720707",
                "43766353336214775867179649294318725355",
                "207139603021997438348112457720260518557",
                "217240824787174537329250075142852928932",
                "165482254725041574632172745265946269285",
                "333518453622230338810362964171612282447",
                "281760545920549458779846959896018192617",
                "330438181559011966564471691696818533293",
                "293501231126295144865984870539694447031",
                "37439432460492365671022921534052337593",
                "57547120049961250989224853876898186873",
                "168004652563136802251448907123077092217",
                "98286700520902285152369360290469327884",
                "163460097736234771908625929693108883289",
                "310200637885626893574493822976721487062",
                "107990598072308458796419270475908622660",
                "310242285046444933014524517523600983508",
                "188951611604559767936292680114175624794",
                "135159091543371681181762290933914561339",
                "299772704924612218354876760250047370478",
                "119217618803913929948157168909458796858",
                "140669925017428214644423008899175238827",
                "312435633140279187768142564024757458603",
                "129886270095455580596823880576382595612",
                "61844297386252415196319718374417973675",
                "141321984566931898156151461850891023039",
                "558742745348272855870025575188242614",
                "44008689247257131675545292638838953256",
                "91857757595958308020347827782989062381",
                "14862195519653694487813005917688756994",
                "133765732031112401081555500287154230165",
                "76493968907506167886305690368896408432",
                "312615390951516273702309756795741768668",
                "115947776818147671696090127910023649918",
                "171610026341973262884468823275855391450",
                "278834238020817431140958233405906544795",
                "117213999027378726664676288816462585470",
                "134412067960467053595848956160150473431",
                "225273789296669878275947205916860968469",
                "139573625671833053623618579360665413957",
                "221979994440120188995962458879366162444",
                "79759274141712183330433529336731471602",
                "294061503335600027739597459782488081373",
                "301255558510983992153947691734779034544",
                "318646508159673158911300922999807703634",
                "256089271422761783645814677992676681974",
                "248622291905690899193609250523325346481",
                "169536516278820486178638633120042389947",
                "326488754810035825666454994042050849763",
                "59682821750464733302256368673637316727",
                "308397089120218097168475475447312776236",
                "40556916869580621251262688035625607533",
                "36835278157473827126622162760030440316",
                "135996239687450557755332260659398618652",
                "275360237223054640753747519380675842287",
                "154971567286327839473541295877573588666",
                "161161666612363610579404596068805431168",
                "22538986485862509624675340208998905888",
                "199031438521303853632727773186024277594",
                "241729839360785755467497974799717257077",
                "287186510568906924221055318959687119641",
                "281191058502841854144882634456787101000",
                "212008542517859757300791284503637542679",
                "102565697670635861164699738961053397078",
                "136414435692924178811656463193971544217",
                "235282465557980211027379826366790074921",
                "238059668284515829662107029273581902346",
                "158233705036486477774249230277921154700",
                "153922450645987701630081264220861433475",
                "201747679518105396416958996772989147740",
                "321381580845924860084106744719418144729",
                "172025785715875857281368497207362793625",
                "230775186722340927537628955451414763009",
                "7461284852766485143826734157957424761",
                "65593606823409476430621896809349467090",
                "202312076647898558656704236784458996032",
                "158310376987137334467547997118579840011",
                "16208942818674942330389296072926962958",
                "129993940987385179245946616971284861459",
                "229686611769442835493601533051180252467",
                "151577415024433921834182549916855885548",
                "211397073305808052865740525809681854344",
                "173725953955901476999830015946970571738",
                "52736167124818179625836924351224068900",
                "227141965450597763636591885926343236013",
                "37629010005002589018314610451059441469",
                "69397126398726607776910332003200344789",
                "161097919063383549762978118777090023433",
                "2519263652798245393254039161983973623",
                "72264474267799722823416372010242607929",
                "91316208052129527929422413826931961000",
                "222828072999618363246251241614667381254",
                "177816780200888679611721624800607600109",
                "9516889808746277432263045466563447062",
                "261326000030824131150470814980446034473",
                "163064199181023441527261708439646452083",
                "203025565229795188330969859632985034553",
                "8972024222862952650087324381782692176",
                "172382860266768678150320689684505417899",
                "115236364250839019194267700388112992854",
                "244419674818336636578187321551606269585",
                "264241134242265365912292794325866397115",
                "215570537342443804785271842301742018481",
                "210983430940584330834371371593138054984",
                "55383423102912838737818127231236625144",
                "171236579335625380919896425745226620285",
                "136557779086970047287990380736053458503",
                "276270573879205050936934804327404137006",
                "35698091308195355667665727595831023385",
                "51431470686780754370355125117763056765",
                "172891073179576217538994370738265496696",
                "300558530819235473511777922097450619678",
                "165911746293485726412343013108854677786",
                "326709083380933197252786231326976359580",
                "66350622045609176932465740913128970734",
                "21948163426286834188979634950400662398",
                "266390881552177449038170455536067264765",
                "296390610981920989326194512530874009818",
                "169001744811583275766901542538900093532",
                "16851905224473012038944135402950073215",
                "307980561640387782058776261959935882813",
                "52666725867219079612086431764991344581",
                "107847415442288136430159869369991428551",
                "282916334606308681980422110596202236177",
                "69165210743698643985155963189539175949",
                "199276379991940642702911905586873710276",
                "125588007858850503726456256677868700237",
                "324138537421859450435399083896593588480",
                "104063599593905893625078275178616996516",
                "160152891817493946718461228740421173045",
                "155316238469464777865774584003176424589",
                "63096935882749094090815433000806588131",
                "9429675663853564078420345268520573217",
                "275760099125051949938226589785754968165",
                "161984839892003285789062641485233285717",
                "95341006152838639543247780351023339135",
                "173523294751338479895463116210133098050",
                "44451148603477273788218373479755931091",
                "153871417869388632172674873687129019938",
                "260755021347685971767608114654929817406",
                "41711342122374495745085256371766271216",
                "223039962078858128219755666878790074043",
                "208879689764197729462247062014900484148",
                "208804108855385852194538337882422008896",
                "95106738293968266396798525732918254716",
                "139054688988989291922701626520131242744",
                "312469365122928557426249282571477695213",
                "339490530272173090430670306300271501916",
                "289247697284252042009129518561680922606",
                "261365314930691728507229568069342084087",
                "325463231952143643969594280677740296300",
                "35080238797508845594067978160307588859",
                "269035688613610105068676391233812728287",
                "132095396275107915332799441783756140132",
                "256096084013097884697798602067639605992",
                "75575080837009909108654000228933138620",
                "101996392459126569537765401657058375890",
                "35417154027211294510592136129876495767",
                "234702867858077045084197419636525022776",
                "28849498145808438170530828519789057347",
                "238508905900799217440731636567409361359",
                "165605460848443214457349259029282664741",
                "137011460633408461508063184035165185752",
                "156436785722829540379059256542889013876",
                "201822235357034570663077580713547757949",
                "333450890858245282879709519311431265223",
                "338446205278747121052431989020030771757",
                "120176139472867123547902065303858585414",
                "324069735904035556920413706746371744103",
                "170182290603363747862581040329095896487",
                "170857336707968837123642780425757699948",
                "266338228863298431974248092574547706409",
                "217700808139512580136440851611250464981",
                "19412314074593033415076776334811439890",
                "195250400345051320586603818270877019020",
                "78724924390906902696104041706652815865",
                "70553211362378149986624634664710644932",
                "266656180924507800943662884406720464311",
                "184698496035456681988581433830944579153",
                "221695398530891402931321734621530506995",
                "263741564465461542934961646351678356746",
                "214168158241260777108054669467691494061",
                "308642666615480254181330822825440578875",
                "214041970666216118781626068821204187735",
                "13462378404250737556060223661141668828",
                "306507591061270353117663888985407357792",
                "201866938487711358823591542402655591817",
                "154162197855651540171141264362179270710",
                "121446294496343954785914492603209052380",
                "233138287323833941746210788666368088721",
                "237359389618594011040825330922761552985",
                "56328854558534408352921283798746865958",
                "268278199321207931836306636256134627984",
                "68537853884612538997230408819613527463",
                "145802536346294754853248668436958153953",
                "199566758573786156592378200816670451165",
                "218532846248301623371943315717691090442",
                "323262148007749213174892917292657977472",
                "292451504330761156916756048956692956734",
                "152103479924181660266039587725456240285",
                "150398981273229409781914083359849304267",
                "322408415029746142591365556139558554034",
                "112284173196575364442770158475526972844",
                "5414270796713907502724207011080965045",
                "135520862557652606961757496861327897335",
                "136470944490230658130880588038872202669",
                "6852726403197177504047689284459049588",
                "291528355242579470479697623577130014929",
                "13416686008698019758423713556809426983",
                "203324643533840489242034734555859446118",
                "81629800853969227746513802936364650843",
                "217197973279201916971384056868331935208",
                "331759698472013091023802239198976377533",
                "122717173085361490219595170761435130793",
                "77694570649295538418640229200586209662",
                "20114631806642064836422227890625409386",
                "120099552516234308751044366577181780110",
                "136246252810834483510629308868656476759",
                "124182584663535266371988465924270269040",
                "209128087171531405900496417743209392104",
                "320920326754054948058665437679916189159",
                "277816964994822359231628817884389758810",
                "291568253983133123907075262175964972644",
                "207205807842230841448849029104461217267",
                "43349652768773519281543790096989684432",
                "51208288151608823954223468776296692447",
                "147264903332370084252490025020341452793",
                "120740123658112704406732665398816481208",
                "97549508276241698701942101158129218839",
                "126723515198882852999050685433888306169",
                "42936592443836689802286089019540763395",
                "253903067780599730828936929742192639787",
                "89048223122148387747058865904011383264",
                "178355508189333675022814484537062054005",
                "320363660944949590547215083326914117511",
                "107259831093124137293326226836025147266",
                "98101199020850699855970089808821064275",
                "335214080490482341054507289796477877206",
                "51254278744818497969092975291617183300",
                "221728187085599109754618184197359278961",
                "251599533051289152787657488753732137402",
                "184986224138509008859144041519281842884",
                "146885934919741586534663070394098016653",
                "236429550181309791103821054569120493435",
                "28936670878404433508098318715298833879",
                "184599282531587411603861014214868647785",
                "71807645260830443769933544011881962900",
                "148342202763282467591370118958354777403",
                "284068131040578402145145081211314724034",
                "145549630324467542214517661010332866658",
                "65695114485619061063597625727565218516",
                "335496391866112841118503916413176311887",
                "291483110573573970482969723293168918233",
                "103385792776938023621642393577058343844",
                "28237552463180719571559189592671726910",
                "226277262727307540138777480830130096241",
                "213944745474448252830273408636678762988",
                "59395662982153343349541797185796257303",
                "5516020960230372354434426954429593077",
                "165699872971060309792667483602342155352",
                "59756607396101408030787344915027241768",
                "212288100839001960938871320038944287243",
                "319231475775324700618272595550636516605",
                "165825410720661039803247925106563408768",
                "258272358390366473834381229009290132614",
                "202490577909506343078311146145722214633",
                "316351181030670392247945033700165974609",
                "138370444784728042923736896469760395553",
                "209894725041022977702100274537319791271",
                "157456869510836677319703427470323045601",
                "240844960302522384443149103014463939530",
                "179762966060182380843707645421812455999",
                "38880072123162438060736006306631711068",
                "244244362936390770267189478378274849196",
                "254246715434648131129883186346844058762",
                "335211219987897993103025444832121592004",
                "54246828785096143559638060623641231886",
                "160607681371435414198213612446700145385",
                "227651230398607237000876537853602434315",
                "143231665532775427096359731889691012386",
                "169702278612819262917917057920054246082",
                "178917502175529083032114377830059563998",
                "305415147550721658143253801627264829720",
                "217042333681366756672973687807641637375",
                "222312853888790599086167070004545367548",
                "225111026613382096179067535741885207410",
                "166697953651127297339126796665136935917",
                "71638228641407561594529395785667349220",
                "241709854916727640052453047880420250863",
                "196286290981782133971145610848452710183",
                "102149888235189951957825591879038192335",
                "336549696433181689559881887396636065548",
                "273841534919090246290368376904323022453",
                "321163915357118792276017245236931233467",
                "166178186068610092145535975185839865960",
                "231877316794571532397193541552592838081",
                "319237295101756785384878981404927853818",
                "159839742816844177651266514356168115366",
                "328771528187610156670186655690314240347",
                "1977682629838505265559572127538463982",
                "140758087267404398501520219631042350963",
                "269286936554847844995602621749841341239",
                "235593863693124769492082820273628419520",
                "6119798744678283189274771754218814144",
                "88558504798313014294146873197554341808",
                "258173726755387838331908704080936049646",
                "6789961120742230581534541145418593653",
                "39851528955408279330827695105793494528",
                "22396602014435094820463562540084207466",
                "9087969726732963106539906273400039564",
                "59749265329634125162168980441398161481",
                "28161198464593502776425454781766958044",
                "338455646184394503578361622443933317915",
                "304253041358336098474464024029644053049",
                "121853265054938279869086931768643737197",
                "173235689278605506382983864696772512276",
                "143553705444566519366687554286579345831",
                "242170893959775754840009396427921873932",
                "242365382829279889639058793263340295026",
                "232736106430806477781948230509363676122",
                "143728465319744152239732503791703240893",
                "123524878963280691719194780257554056887",
                "159999292550598978757581450623842486085",
                "113125774470987439693659363906713071149",
                "207682021856519878299570400353803856395",
                "330147818966833115739305700245366376969",
                "292818179336005078298954944419818368988",
                "176574806662693626789852725187500703845",
                "240255005241544710988219288909668705072",
                "116646544609808770756641088819571692793",
                "213139637918808197833297654700468676510",
                "164799532996885167160192400209167896251",
                "275498314480063785704621450986784400675",
                "231995019273206029128987527066865761265",
                "262336379235687881499215237803984068362",
                "222732015125068470438620173394892360060",
                "233864736806179209834913538611404508019",
                "34812853439625702733656122352429398588",
                "280813995188956592021324177237402562287",
                "108521363399401658820508591328365780175",
                "99994831283940406834561234792097814967",
                "228460643978901743484569088771938082932",
                "218564356112737827787021957261954618378",
                "262930972934405498057822315678972965932",
                "174104880011318249148310981694571732446",
                "260142737274294965416902185635371287621",
                "291600201685096089827622081185753621548",
                "330770856064392891567852037426199558426",
                "234711318107222492666509274889375438835",
                "195270342703974868794473246177940741824",
                "248670452363206183814413858861790874745",
                "104881178735266905873694484631725487963",
                "258927793278878706640989891141122859631",
                "177319758150327479978532722171454232680",
                "83595102069844072961679641088579196098",
                "287622868733875658147390053966854185262",
                "293964587679954444579533961561887218901",
                "77670685365519227902310276314467536372",
                "53673088506463245579804884259264097729",
                "239989717411052136873863696019609728641",
                "124441672500842527492732381489743240635",
                "179135454690190830504931775343840577118",
                "265820836114271163510698561758979309330",
                "222241753422855921383953568858545901235",
                "61652832528628259504917567051698037477",
                "333233419353115382172011401359048632377",
                "45748957122210678952668606671601431136",
                "198813450954236210220989081819016648631",
                "88657087066043965915736127906042126376",
                "91223699281273660484610944724237868354",
                "170659987939446035730075502880717158429",
                "182178072181182384705949094694408282142",
                "183681197861339659026959230928757419572",
                "120859412259178746832060316531178241970",
                "95606592470569469682368055442690508612",
                "337592494792373047456601707437921347173",
                "319282289775014791440446749950567065182",
                "298517746070948792583844129318321751119",
                "13529352305997620997547668079319421902",
                "307458618395504856371733266627643084471",
                "110498643749668142167236089600737585747",
                "36506427889900716102950732965546409194",
                "99774982254235187797078805349448584181",
                "178580960020803177872080054018748759731",
                "164797703463596346017621044892961723955",
                "100984849938202661023583022957228995192",
                "65134652794578687486897715673733332053",
                "326374178700657953891758503393534589092",
                "204836010674229435470719274104383746745",
                "136297805859558337833743480739221485522",
                "199892299371282163090911808822517431400",
                "75929808013730146680097176827145664230",
                "168796880878805532595426319132055591645",
                "210268537523099372144286310150180491678",
                "318571458712141552364000469845942591067",
                "290390930329644140962537466924304228085",
                "100220053129845182736903204594224447816",
                "248092337644502020028398199747631366044",
                "101035075199267515804197953501666834037",
                "171016139465282059250018301797748296668",
                "332728309981471392826671179873738545765",
                "189611440586173844571166475527741703072",
                "307899434150237468216851855465560857468",
                "300037958317380930113778710360744935652",
                "133653043749434057305610994359159165533",
                "265480718796708825445438570767299688887",
                "219026399872971808374400002432984590088",
                "13778482469508634285601244394042449972",
                "333092793539438792327333860966532463380",
                "182391336333184742040340159785783311158",
                "102544404559540078896761699495573096358",
                "207103709104786878323112796470703209925",
                "166293265405573147627079822354056968138",
                "276089190690455551515302947775559727961",
                "243017732463850875984976455897831583365",
                "80904254777399375956577722919620383816",
                "230201205031293652863968951801323397559",
                "109791754296846955222205494709577481543",
                "68578962307603431134526780170358927005",
                "190221394208702060674507559335745916241",
                "330250594326662021046538291563947368296",
                "9220102857645450339752448318433124730",
                "41762869267972022473736281320030535873",
                "318301709814878671764816760649863671941",
                "85396089965403451234103091416912157079",
                "182036560993657136292801554585896272487",
                "23439841612265633276689540352959226285",
                "288337996396930210135462045877437627540",
                "99946515070555467254946412027209579344",
                "232398767578333670093723246126595448740",
                "208674001201271693685379241951457277131",
                "268557901497860262610688465471015668908",
                "327313903218217073833122763488904840887",
                "39032554607375843736890002700072779354",
                "252761573273836042458033716141122871035",
                "86676638044142299870533508211921044661",
                "306403309479484244604398151236465141645",
                "312547235706267497282628027885128166322",
                "65104717200468585068065034315457553859",
                "230269059723830265416542280584936310412",
                "155668229993916891520757157486137283918",
                "157657686049904369675904402535503066077",
                "280999199253992091150506225597137060124",
                "312954233981498782581304523698934061973",
                "337208831178575701972498300696523553245",
                "321208026775828316903276977732027677433",
                "264090851747071413772570810528517984525",
                "197843897059421991208492778293524390845",
                "189793552526123331985246470436275599229",
                "266020789087789397084795960194996906141",
                "170341019591366493995108187325609262351",
                "307812694383922582326776586556231431092",
                "211341900822038365614156623678744229169",
                "197911657413907454712218286334909354730",
                "282744487693994633741247378234529216683",
                "28203320765289533394766164376233911971",
                "238238590839986784137697912932357579307",
                "216501251709651277735012480986670797972",
                "294294474368641163293164860757271262672",
                "123530262214275345527217038506658241775",
                "155926403808312509001894175826722664481",
                "324558379249135189223193036167996088513",
                "107173563848371266111189352001795186306",
                "241685524845169935428599810175856894924",
                "210911836682519640640244283314282115374",
                "28865609821301973372855708536723501495",
                "154061206936880311627697654607374959692",
                "145147179827394669644233377727319274658",
                "185276101228315821109221248364848581262",
                "76992289868974972673422991543057350569",
                "297976962830938694795814246716811621949",
                "31951584165124504485804698592009387518",
                "85155300576889229806829444175037582445",
                "309953946921358067725012842178377470927",
                "181584166454003051714441281385677334826",
                "80781151255805362971180787168702175157",
                "127066508402714734799989419078375583340",
                "264834160558723857957343145645057952095",
                "325874012849225920143985290247288780872",
                "152802048273345618957596249139988936701",
                "164968058845250516163299844950712787204",
                "223088596463941249067341964560935926597",
                "254503629950334906306083535682063292331",
                "61145145685723553527899074404584918137",
                "266909735327987865518507203167145162797",
                "230895992902568671053299831798651607155",
                "216759599930922511679098039092647969211",
                "62851303117247163575451903869646491842",
                "311364132656755375233788509907599898169",
                "4014028374562104536748064325705461610",
                "55303009387356098203246405627971269823",
                "335538346497057976583290020892342056496",
                "317912722083685984324888120264463123080",
                "168815115429503399424692366379289575468",
                "221402225346621530213185205290741457015",
                "26898394929876144730343791282648141397",
                "261563449669104170100718943988775717488",
                "259688684890969538002607222965059485186",
                "308274389728286800365298362084949999202",
                "318714523389639540129630131846374901281",
                "223660674898138859812302711093705616610",
                "183485670035236255778731151447592695432",
                "147068496130588579296337907007755274626",
                "265976481898904890768458170875855349657",
                "204870163329987835398383340954622031727",
                "214912730578716726692639696774763162788",
                "237202285207538675773306390258087537845",
                "158249958755708829935271992464435377782",
                "140452782489236830270725155803175045464",
                "191695411172926863729048589382476170837",
                "13626789579674830143088765302753141004",
                "323786659547361842223114095869722910931",
                "297093469612667370926606009325847657912",
                "96790496273547444505295756219323529891",
                "275507540932718192681395635418743628054",
                "205459235445177272996406895164333776343",
                "155778036143537290708406204655606164585",
                "304389229721519512264786390697998155076",
                "54086004685650090951824011893401197213",
                "267737997104386510651536345732175990541",
                "230713851415133085984820086488234555607",
                "242368170711407701585807140887792753741",
                "110545487740097631786835467565872216907",
                "301158513122430957285926659729363763709",
                "25671471516143889479322511098111483690",
                "187597629872146801374864125980636938928",
                "31571190791135379300613077271566053555",
                "253246324221290700718109234931029782524",
                "136301108495135882569183287506927060593",
                "80637332690034408838709596503204328453",
                "275331005784925059747739364467843892715",
                "193039673570406127499659204081774644225",
                "251706131290225077960401214838997237484",
                "71136682843421173941479642111059403935",
                "178131919634570933523522310653883467076",
                "18130556408654357075338855280762008719",
                "229554171996149480995631514321322593717",
                "135208272282182360164560899876240362652",
                "51511586603795332487698314579930915939",
                "278677900622439503220167741358065875306",
                "152512254403420605131731321056291720634",
                "10008364632513665903884747988039394310",
                "312130507776711806734685926736275337287",
                "137639140090105245293850088863220129769",
                "61797639614766886767611876347026890557",
                "76655054826353091074368326568929422827",
                "21797932493286874824500017666546241069",
                "269145374614564038773464877856387312355",
                "193921378650456599080945381756509072085",
                "35807405882142695149393584149724720510",
                "114192386693125480265671451447684944249",
                "127258062454781922082180282647736569150",
                "81826968817703886503615779080466554337",
                "80163332140611475650725423076366360977",
                "102081306571377800875226106543894710267",
                "2005429818870905708799215092382361704",
                "187487037657080687134527021677390124353",
                "243813047916270188137293400706836235861",
                "131828857045698795424301195304183658315",
                "5168713078738096283428930963478168488",
                "226441380206242462462477395607166652742",
                "114544423989620048523569783241857297093",
                "23395537766039987563282287489743661585",
                "302745644304066329795579180462472131893",
                "11039910664223401815955947357068038485",
                "188127335983390914915468324354767872471",
                "330335522024721340540380032395789472876",
                "197209208853039726691319059115481383778",
                "292088863395787084166467778287555919847",
                "62164818276291428805134864088515432384",
                "163354468128727484062815637557808006488",
                "106517388005125316735540312438630326087",
                "61660990223975756878141131299578360077",
                "275320276141954801917125310253402583487",
                "315493203826725322651797388458010043427",
                "264394325461189299719226397241062402473",
                "25092389689970579923477805466264607342",
                "277118470660136470237723542813405964019",
                "152942620275440244565607666971952335067",
                "10651121825213739037446370585104368563",
                "301545545016677647988935943460203319164",
                "129888262075333145659316127266275284646",
                "35342403093384199312909275282679653465",
                "335681372423510930339893686044572048681",
                "48346180759068377313986582371149681595",
                "92026162529245101733260731758339369187",
                "339430737184424752337205193819892726503",
                "293898431018269718373870769895570696429",
                "226769715434967869697537842035852078328",
                "121962645521211620897703061201150257881",
                "280106166531041257267220154794441392190",
                "40681234006863241187120583550340661589",
                "122446322960969316696598701924607054486",
                "272969783817470062785151583955403089688",
                "176368990354685957692699850544471443477",
                "228763364430535015108482770854862842748",
                "136419938731164420879694279016958319893",
                "113113420569642881691485686167187335108",
                "221426177922970537141391706037623623728",
                "298992505721804032559993608770714099011",
                "198359442732054884204112364521299741184",
                "205999636870092421224675237309256629343",
                "215093277757868720883179461910189089696",
                "274088711174726426521810861745440229702",
                "231122213279770501327741001607005339351",
                "286761126300691828816309829479631562256",
                "187122080490887060777201611484806867629",
                "39104925616938393868196239176903095140",
                "264541535761619675360850357997129347178",
                "124226341939533615523330646044563737683",
                "100900767929672593631339364837877254727",
                "333395791064311771263170283853583523589",
                "29609929293191272595185890280528771820",
                "213940510891231666704719977999879871236",
                "219876363339400039159600440591150245750",
                "255328816756248726205064109592044974355",
                "82848003068205693301400417448814244023",
                "19747879588462410853940527216138491792",
                "72745364887640265105163734478329403504",
                "101185592810444742331196628272970404026",
                "234564317428802061978438783268059410233",
                "212432908788715105864936885103734348298",
                "185969948669443414611922454237400563813",
                "313766444124320493548495640466908579325",
                "263495813965469414193362923290554896894",
                "94709695879448014899503491550629575136",
                "93299806831534008752613599042320772108",
                "138591969879645295028324759835877470413",
                "7297524891438526221394176866146931067",
                "45019912236716062886370822597005847409",
                "273492380463898977091082379259853602742",
                "30076868267539541569092050895409387401",
                "13674527415495104129641269954229499567",
                "123584984398455343019429171690063855598",
                "246938981896578294783089570202653522501",
                "164689971472402748431436980276832697082",
                "66352907718742987395333865927976307021",
                "10337610686192258113111051348367910451",
                "62370892570396794989549994128165754797",
                "315972892976160552171431835412146973181",
                "111213957241732165703250956780495491558",
                "262431324573007362472013987228179358155",
                "278766755753522104945420996130191200920",
                "68024531638358485913208293866155308313",
                "12844788321421112132831959789890231408",
                "45788821806299285976742183872251097199",
                "143351281699931974929269111232506771623",
                "117703971303117651614481071817609207607",
                "108122547915510453641281430613758339194",
                "86448947339992866669819490577212770422",
                "5221224215399306507657048275200594843",
                "79754470017804161786567076811694309061",
                "288887163780178720099213246745723608886",
                "266213968089011478284318094086170749674",
                "42588104341153898506061356053987833192",
                "120363937903872612682334089865782435839",
                "103112454364914071351879295779396558473",
                "132441681453491505122928685524854625679",
                "263341744261973055942999231330753236296",
                "47671906175348371057819406358920521874",
                "184529907441817164416832528138102127989",
                "332863517471231125088124006854703991636",
                "38305026503528735692903266861239120656",
                "64536646765358483137910132330576590677",
                "22393716999637066970017660975102605251",
                "20524769284998061469682679290987153529",
                "148446848524631404024539153136301487134",
                "212415303479846592873495177136253403287",
                "324616172627230866529252842101067350640",
                "87330126144678708210864307152567614547",
                "293983353469189385586998400906411610285",
                "39109648525458653300265669269882422835",
                "110749453777548345865646257373008519952",
                "178822860665097086701954133782121439315",
                "168860022859741038220199451890486301989",
                "41455545572908237363937143782285867086",
                "308201947618085941426547614571598031622",
                "74367171774482631039640927147068305560",
                "22348890469097358559629722146582759123",
                "216236521644399457239510847995641760043",
                "224378141776860015723121189327453077145",
                "3229077044391421510492332506150256089",
                "242937516475407038424203913321095461222",
                "223680998178147844167559557754269964094",
                "237304081982737393015340440186656566336",
                "136759859455585055827048038262194182227",
                "289924242907936140583653128570436717512",
                "22415269009716531118346731157670791904",
                "81078499426077923606474022642787454190",
                "46114580487345720585956362327963651061",
                "235552795321087864353839261710014145200",
                "113077362257429733182980683376879278040",
                "109919538587009326420465994467505722102",
                "91710151039770450367533382840363652004",
                "268607792098991599321478549304463625822",
                "66468754870882600515369052305749525485",
                "183102014988991365057138355214045079360",
                "160150751161738759423004879321804777219",
                "256191842671636665837733463403951239634",
                "122362075864088118791656155162405004583",
                "105632449969970617931180731771908908397",
                "6268065656765163833302881251147016729",
                "161514565993714237113133312812987659520",
                "276399511707229177849316954774628071333",
                "146019564395433810897497542806342011330",
                "40544259745192310555944381819939945703",
                "161177422683654276068419620582859829665",
                "70278336922505142314008707017963331418",
                "297680981900793625385340980551680423432",
                "223570008325297947767951544445768637120",
                "207255306384704441256029085856838104879",
                "265968816688809722887379582501595536581",
                "135754887492789860197898320883541718193",
                "117168763088638776146799510963767564210",
                "10763374609153595097394341731055618859",
                "212097770931767876671106003063965315616",
                "123963185480139290184656047548916296125",
                "130449882123202384392099766617108682105",
                "64947585897942993295292722430987965097",
                "293041754834877301709255607553760982939",
                "231002056744999696688758699958311787791",
                "181771406782188100445373639751937628332",
                "333607800219265355414394548056745500986",
                "219530475331053183334061706226538352226",
                "282178133806899315556359479738410907917",
                "273507761555526474134277086353807470252",
                "265310092493840111839573440569169016923",
                "273024055002556051578421158075333612167",
                "229543478523688562459333793216071397639",
                "333800337095304437396043181261246628654",
                "121541905419705736083427218209951533720",
                "21648861278077709185803906550829405431",
                "291685930674915482534752711867055552431",
                "255168181370438889996134137508068094941",
                "34195189948967091188871273710502205747",
                "253066865062525823721599346007353054599",
                "291717263634249331092486126309419460975",
                "197292867933737672221148677726498020608",
                "119079693319884695911924130515629058443",
                "249033965122677894111542259998669988632",
                "170015511389155965879653950874048452421",
                "29726523672011534241912290301474471776",
                "165724211445356088119672492937275234996",
                "162104769526544893411167304100550819270",
                "131770101501016034458667685425293238937",
                "207763189587343166564102542899175974604",
                "179870996179912459417972875491459266339",
                "42969479751872423089377209380486440409",
                "282609268247338374136208394793990315737",
                "242794430906149399169384097393228042050",
                "301592683014918350715320327051008092472",
                "151002279167764502039085394254894406404",
                "324976874479656003354515790235651197340",
                "327642694978383040455862910665226369150",
                "214856878575000778670799613729536397863",
                "233944929719883164876798888912477948359",
                "245762066169043298225732504494170748251",
                "326637551662119155993596832398683693485",
                "227307134715714853466328892493357369297",
                "55480431502937243006732744736226552397",
                "56866786729604759784449409527707114162",
                "113210468739884620775074259246125711809",
                "23188538761092803892521571926191640567",
                "307792052422001068233383252235714666293",
                "95561781437329100600980512946023178901",
                "245778056976003135875945829791251753958",
                "206197794093019540156874540661319120778",
                "232785334236218768623437608823641528509",
                "263490906797063638579079093873935825495",
                "213575643883379355332278520817054928989",
                "215231290861197740879668343816297317665",
                "296680284879380930044676883277822478098",
                "278817666689563855767661724650058417262",
                "7791488625382678859098468354595285786",
                "283464015461472659053474769615467650133",
                "58719795948090915429741322364924546960",
                "230234045178146288644425520500200411132",
                "128151621123838566835931420559675427942",
                "34467189767679474147689378242194510065",
                "334161081860799967491771194777048498256",
                "5311459171253448429607464620755982090",
                "293068953872286079199429007533137179741",
                "127603301941650892651120463221734816066",
                "88049544414278430591509441562544779184",
                "321168653880365004659724460030057525049",
                "49404316374891701625686447970083189155",
                "220242701341480068660670809999983109471",
                "304044314503737290822397603643285360603",
                "154218012431584071323519863679747260369",
                "222337707019784040922312729184421117679",
                "262423412200200408708754369265913895700",
                "321178454136783923251085504832688820507",
                "13846970431462692048122121945615756019",
                "313276369064355479170283046394935280590",
                "267856399599356716836891656175729589819",
                "107632242975310828925855654994093051498",
                "253760081131620993579655986491466686345",
                "160418238381773931973155264310188932943",
                "295273709848141210739707670242942661310",
                "19094361481686678487106289960241205446",
                "137368678306395327525426833497946718562",
                "100988496849527062005703717658633030110",
                "189501275050972323327039230829955891331",
                "126141795428590904305995742625237331282",
                "146968506696809558869272896341206155473",
                "94883197409937977695171838307171040648",
                "224540163267392616252078612677882341508",
                "193317681198580215927974115577653517766",
                "202671169487058941130913625726802043665",
                "335146284258589171261235669820810235565",
                "325635905798183422145424138183436607222",
                "292904926574830735749482846425299345101",
                "332535918382915572520359634262447038608",
                "181983852928796388427680338800027733210",
                "254177267000809946674561794593330712155",
                "42117215762331994438265094928955485228",
                "160867100230839969638106409592301671867",
                "5263557802467490656593019657051203998",
                "107217331380040375447944185898830235782",
                "174196048002493079174888194892196372043",
                "83490277556213097397767812055450355846",
                "33981585396368658651643961853407534045",
                "134566144894535440000112657172093781128",
                "173039193659450026103864662974951682609",
                "33105323093308716539439839454528807581",
                "296984544401105706100856922907028217661",
                "170222507092937294194532721441574482265",
                "295912640997484618579084302358414339326",
                "270054560592626814732673240668743905483",
                "339210454810837073096545123036633491479",
                "78437302096504750691988882311030540189",
                "290271266675418709233942218272687200097",
                "99197239236838305772268961658986017376",
                "324140906887450512233463204212755086680",
                "173579180379241998134406632273989798730",
                "111922434083165024082318112259403502980",
                "103455236149613795856932627544914715370",
                "187690834554670823063971953920683183371",
                "114064372838320148101471003473954329540",
                "124658827239048791987511060324236781186",
                "91641340859497809504523126926176891908",
                "227224696592780761485720063242517723476",
                "194044313666373239831951917937276007171",
                "12757031821690823238901526588993778576",
                "15322806235413864913764908309694802034",
                "75498762247244955507114597690130398829",
                "339383788112878686095088667946306084227",
                "266922873877357561464722438704651096772",
                "312584610105874106482701079556984016888",
                "129806121925380911511618375537907343714",
                "236214203590590018597738511448854191972",
                "192308712984075259439734605499660510419",
                "295171978286945010277716165775899826912",
                "128832460382669809199537714265166263546",
                "117876084966459827482219970250654205987",
                "7024132419677871727252760661405480878",
                "178876457046051590236343924717104782211",
                "150739022331345496750722522510238826051",
                "106669376796522250358490773095747853694",
                "333420198280427164352598547040805629375",
                "339104893292012297238041458400451783987",
                "249645588010136262236056864894191908965",
                "313872755389823289394978677330989890638",
                "116034392698649678560588518816686390411",
                "305764141600097382195139992343066657079",
                "205680102714920040528741212971519725444",
                "234651224063027833511474136734911954881",
                "160591480626301100895656295930559671138",
                "8509330140376059360097739004104186955",
                "36608803779265889179605493367997720870",
                "40763918906088048472020473839312528732",
                "70692474914657103325429775335598251623",
                "49480798640053483723811828983708820785",
                "54294351479625688465258615102610247511",
                "5591942171512219858517243824569038608",
                "119586207544375704833975953394783072296",
                "61053103580581448872166278446494571662",
                "242241819464008520962432666779839363911",
                "98141267111199910942097555983589477786",
                "41472231444323386536322167987224053822",
                "181373520203261994748844227519317970206",
                "95664106855101012060471111789519748237",
                "68494890402214308609078537730938766760",
                "75149518447877811011815897675302434359",
                "274771435469896533187516332442399984762",
                "279756795544785636265673059841811637911",
                "135960629891005109820657536304345145181",
                "73804474700777539468681140935577956562",
                "220111017596097489350597505271682037818",
                "43161352075860416188187085524233333173",
                "328467176496683228058171498921944038483",
                "28373354716494255732176147142333259521",
                "232621693362396767185483739744636047762",
                "51309506533834408745303368442980157826",
                "130031927998943428707854795346270587608",
                "313161346492849063437524640598722782020",
                "131245252824866760092775336014029712288",
                "148558820857010237497046177869410027630",
                "298226799771788609689128432652349817413",
                "146782835212651700239521576859078979843",
                "240658840447396318538323739804053936376",
                "321189050700703950647368534045512163487",
                "299927056855961654652409036388752926125",
                "170221536322679658926962990481804378028",
                "152758364535304408714609311655559742016",
                "264714046443812164082638357877391761730",
                "62819186874917145745650260391846511929",
                "176506600561436351640143451473969191167",
                "296721778686406914794126773257310351438",
                "224402540548694389646200099847466058700",
                "115725657085188145016748598328773886209",
                "249969441054188624169926380312568272092",
                "261846502321956317576154033544480950456",
                "106331283814325578214053983631146406359",
                "247162042586068587734486564285293840742",
                "336575914078148314668157194740409683184",
                "299955318420647816402247270429687130042",
                "121508334154321958870620154983753165662",
                "179628449129524409755696638848454897232",
                "256791818538255807846667377400231902312",
                "154622822176613313967405239634820689236",
                "249841381749220973619682043266945584045",
                "197433078206018180755535441293857872916",
                "195629348849895022285316989724132617802",
                "120343620326989674343641827835301067906",
                "179928149202351614479363251649614504189",
                "48405730067390552538637342433783217234",
                "337567608234911363059715628912474323762",
                "79438006394465755576606925732345938747",
                "241035304357090816593867240128296000241",
                "164492498234668894461500044951528376980",
                "10674607806717093162039801224934605591",
                "332103675458588253223882672235938346685",
                "204396794020388742427736585377100063042",
                "308007290160173103766343746543628353061",
                "29529305246807552583183343499456491770",
                "120131599011725487683648597124134657375",
                "185581115928129831381276296840665690524",
                "183992961140575843887236624602984096874",
                "88404116297604584238465981115133835626",
                "271752646691862068118583009381219075376",
                "42604922812752736007523614916602073814",
                "89194840770862020794819665396465810106",
                "274185558763051024810990538649300805155",
                "251763774004914533241085872605584893123",
                "291780661211777318189441554708304328215",
                "199344866989520987529358610800355400025",
                "285327946070379990658563994487028285461",
                "22967122906976584474499064607745231803",
                "146038087694459165014106592431224650799",
                "144095614946932931943781188516890064897",
                "45998489085620987376956964717407490107",
                "117274543055248229557324262659197119255",
                "170643696009230518304387442903978344874",
                "286511371648592831659937882648303934859",
                "102136260478530077574054978492846545353",
                "16990332231140090551362795937610323895",
                "289967983822243282906801280313758660312",
                "268668242060465453591348554398644984433",
                "183228338604866196167971159429589530099",
                "225488498774516232065295439987878749634",
                "284529623310901583456274583356116655381",
                "233874695324204191991667717972681940541",
                "195780907478698485521670320652885334096",
                "140992150018177767197974131338193964628",
                "256753490351546241682635613686873279161",
                "319463718940861979217538622050140835037",
                "322037616452923738319520122687700339014",
                "274875976573092922792770752636125841035",
                "64967800266923858941864086433297630119",
                "183004495362286806742929741375627733253",
                "254392885916199885976342601558223864598",
                "339896438501148423532381873855627621488",
                "13847800764729242512941267484970049934",
                "118889745855414062077508954781724910518",
                "76106801166457251370465399599906068360",
                "322088982023653950018805681839683361594",
                "70415306123730090459720038828917122347",
                "188946274727593201845960134342361626724",
                "194243175947573804760771362174603888756",
                "305214876108637594047902494230832103848",
                "84560675069198915987600242114967737076",
                "40274045824656142074526844193253067997",
                "208161836753917494733036865845205898532",
                "31793705887805783648251464894206207985",
                "99000652423635314468096659421201990662",
                "267432005992808441267323149926836702025",
                "119774582056973169209929747181785319456",
                "158144877041530570276454281992265365417",
                "248853716339179263473383389651154062089",
                "22170355376528010712153515023629933054",
                "78364283957889136351266161905304598578",
                "17598657252540892880637429197142040355",
                "128303690392962204339084903539946039619",
                "276559835454529935492140413547130466637",
                "246133873398785040596963981533096116115",
                "306505066829677259165435605210988703637",
                "125836474220021029195702932548125883129",
                "273445867322910918757686811937118876794",
                "323730688989574537905923715946237611732",
                "42959034652752849637127830183686927371",
                "325635576992910207090365111949520337761",
                "333525315426064944299494037499182746521",
                "146089224391124993346824899697983237208",
                "12582401700486996429845960383387384664",
                "133399062366583883454849256734643823602",
                "4956274452500259146624021835014320238",
                "311149371974399027744798473403094549487",
                "253115987327706873920049577990133844268",
                "110798332675916109865200740595403359414",
                "65014388968149859906377605538782155606",
                "123074721504625730384756402568772119208",
                "173359190981397663376365219762406613618",
                "102125982477722730273322859973469992804",
                "132011204770145751113091337018555926030",
                "331116379318422938703682398742062281326",
                "28481387215703541289500461038238652896",
                "51702742481717181017710955444525833823",
                "72971460614779875998371495199505855697",
                "30111682239513625445219795926573054267",
                "290531253106263298066555297844287811411",
                "208714511475740562740494690633988139734",
                "120196610019064767871002983819169888228",
                "285290920103369150784245510098326965308",
                "49545631542692284143752840911425884288",
                "311982295000524537975950286099604741277",
                "98109039022117853491898185681179654619",
                "137553220065459734529161859015921709592",
                "122759909133133798476455592723066402256",
                "334115258250781402852372055513484812010",
                "118579930868009563158377806972823407953",
                "263366212973136349871056325415369724933",
                "293117084389818118955002872724231313724",
                "137640349174760110260718912007269394259",
                "110932992695551763292070638418927376231",
                "106418734852916476548062601703164346516",
                "93771326331299942367748500289302753691",
                "87734297759195148401706337197878746792",
                "85066649803018187911165920321006285392",
                "80859180799119238564573707623079350109",
                "73449633175497161148134927788908061307",
                "150925649544549060362059083830840594667",
                "166933752713860608164380957632899930895",
                "189992634211484720698195928542342037211",
                "123568425058556067299776727908102220086",
                "38284382106608984594421186152559122628",
                "98514251083500793991297901393284350585",
                "236467948827807637954868453980819092370",
                "76118450639479529733506597224270170333",
                "325773667449244768449787801405127234337",
                "104729706533090312283214768771189318539",
                "200136482932753120025434826355562165051",
                "123128464380423238543900187482977248962",
                "262866110554677646064168137077074259699",
                "32884299929306012951942735771646267010",
                "225660534165417772098470023010220980902",
                "224615696907470582263714500173657545041",
                "232012269419023819036792230414617745034",
                "39679798349392731464413649686880544225",
                "264314715313017057304141413156145200699",
                "147407179808894837826475718635725249189",
                "50638089780451640230664776883439756779",
                "249230405801406239481476612026877313289",
                "302354226493033754307184965980634403040",
                "194812403258432275988277327208569907812",
                "220711631606985349734258394103115286469",
                "33611146209640190882843140524869188898",
                "157366953322171876717608104995292271783",
                "249819343686395390053892659834006079590",
                "268624838368312459524740025100238912425",
                "50389443340568017284361657839873626038",
                "183922023121238352092017035803697619437",
                "220192858273256058008416925773443644075",
                "147325766540792089130012905930002950893",
                "177912347052275173248045114499584131459",
                "74774440455044932900676100605048330356",
                "288216300697109405193440291325731370024",
                "84882148549595141966381391874701326623",
                "315833267890783179851950268636965660423",
                "35346359203649714929716327774786153017",
                "197360246173988123434316506795458287442",
                "247155670833746379342925591238336583997",
                "302253490545885976847326323031959725251",
                "65115121135325334416892822681446168150",
                "334406266048416442368562886272917662486",
                "324847095366852858752477838566680944938",
                "170701855063743321137864879764040494258",
                "70816704409828765660127237708668375009",
                "19980093118419785461873302850215604430",
                "57248541867674423098511342191653256680",
                "293782460020434121759308368717660579820",
                "63278241592804657267600081283238485422",
                "295155112021455319430583812270372134614",
                "41740048383026910787467316574851072041",
                "129496766226567821934637334272675887203",
                "47931996623835054031612459645414315865",
                "72345903201815114944875629053087989558",
                "162513706984694040981566778024805351498",
                "266829960296171787777093894467241976173",
                "161811083641605155379076307630858057109",
                "162513644025750465047100993112822381434",
                "183061116552376595056788548144742019864",
                "7828541662307341389520309200789178910",
                "90362694706859239687909575346285707342",
                "299388484083852332676188986780745993328",
                "207728076006412301791998042288304873298",
                "283915648122141547939864426352908958356",
                "30969949449370966417447935040064997314",
                "75184471671000614330819791307839430660",
                "300434750539211553702712557960305822593",
                "309198228129786177835053141642094329387",
                "231462077341061564944623281026658787425",
                "282894917528596723782467782899990591704",
                "227904966428250277682210869082102429902",
                "146967734102073740160128797846065246194",
                "56447877182260139348109757589357138300",
                "327495581415100415365894006375734874629",
                "93127523899906898586497799530757259117",
                "9769411224218682350255495822027127309",
                "242393570334483537450566214010659654603",
                "271029142629568329582424593175506400115",
                "50648329515837595548902021847350625231",
                "117674149516122742782980549161298424352",
                "88423934319390318182565111603322647815",
                "320134364647361452323586861498130192439",
                "340235471931691503712959330282413221415",
                "220808640290050070405693320983507772656",
                "110976261048620548811069766885932384566",
                "133453601931710574799776313058380126499",
                "189658324788955455874577144618915264218",
                "248367029077632264218565545934825218709",
                "123842212098199627827044142593553282379",
                "71157121651564514097853061291238322881",
                "32053820733953338446342360508050642903",
                "114721108004440222679398603705729447475",
                "171476802388058130878429697379364458768",
                "159867872926144795673460104007556240757",
                "180268237469188487597927934734886365726",
                "236742500287513848021381229545178602574",
                "127641680750197208469723291712981399895",
                "86521889444195108779605179486675116590",
                "50081750545314185318895615499331625124",
                "56471630918082365338867455320216926418",
                "125501668513590544462405439349675251943",
                "179920298859893632426455786925976027156",
                "115769780954553615392397448664583896345",
                "278529290200103903501061160258581800101",
                "31105107168679401299789298863563500490",
                "313564461126709710613544397251026115270",
                "189085549471414631193476471576626508528",
                "56654420528017176874663736917301713525",
                "285585675706150357862426632373208700724",
                "60524002085696474127188099093651890533",
                "263799440301233612935650942544262878858",
                "32899015230259403920853962171679784392",
                "91047147946726680011146647509881986631",
                "290447190170911683310491315995457753875",
                "299217970035662836488648209831335676675",
                "129864005815475731208468427558147402682",
                "160502110808752191026322198325544430164",
                "146992278423799417360448734310902798308",
                "186691205254874608977647661778106896253",
                "1576791440755795244431219639270021796",
                "146200210109995255996083475357836132480",
                "117459530562741328325514095002309581967",
                "195429026963588139366406283035860215930",
                "311632280066694754055365825315992924284",
                "115518659968861986425566915013707735480",
                "171116152588858219293410838886489757165",
                "294898113363182257937299089693300185938",
                "253097104399387162133834559609746937841",
                "203087179522657203796527806474879079643",
                "248978136229628584770388248251868887468",
                "272264593632040517039510094102187299704",
                "99637738193010112193310062243935843261",
                "340167918253871799822068100753850519031",
                "333956794874811746952801960106503090043",
                "303371438714160237266319912198884241262",
                "284512312772771263549577918654001841374",
                "97229787627887786248143900038627721012",
                "325784402618091880903859870513921228180",
                "108618421542036399661857473223785903782",
                "193973010243881221142774879624913669126",
                "327408919570013996424818044690061168274",
                "92396717606968248068672798834836769491",
                "196379564906116941781120469167631720989",
                "84927763964829262107665457838173540263",
                "229091399350679716713441889375228121193",
                "160722544027260938225235552125733659106",
                "68416082307339771103990506463694506755",
                "82940278795040339589560735387533968759",
                "40152679863642222641612211675959071535",
                "98571007917276666810083579936261528810",
                "315109088386097772982500693616683032024",
                "241428913648764567948854854917023509977",
                "54309431238119857951418379112896674366",
                "209131469528240737715687818175838761057",
                "103149184714163449106521107408076711844",
                "178860141416626237191430452406433236440",
                "84612943497979127337240742059787491275",
                "309121427486177383453866118499500613349",
                "91603631604199064345176213911583800264",
                "102534066375830833481012252219016218248",
                "234041625188251549722882875135803896696",
                "272209047642997057442116801815591711679",
                "287305746304709417433844941547952539523",
                "218598692762341559456239162942082523340",
                "165595764475301781214440294423010052850",
                "90027471866911605805029442838850990613",
                "168182450570590035009066690147076955192",
                "152547981695152929413245412968203745602",
                "296251489401798284341231881560463814535",
                "218761400778657877339411345569607408949",
                "267415095608630568261100705137353627120",
                "185196800731558875866906877186499595709",
                "228434919956674006888371656205174329402",
                "191242309991877000366295389637365376006",
                "109731760209472059444608124058573290561",
                "127048708292191155077471930201550576730",
                "326563125581505938452488258642719064378",
                "313141313671797166595726122152016311086",
                "121926641167259614286549048424178403475",
                "298282974683673805467282786761724211052",
                "284569299207258233265808452313067258113",
                "324440783985181806014276020622197230705",
                "159122974202479541110306604349849493508",
                "127766647410983910751599850593549490993",
                "40901707490868983303022146419946350524",
                "272968013418067045251984963456604456478",
                "275575556445612320319858410380576705405",
                "307682490100457928975148621819848419937",
                "238662875742801732374036120938710379973",
                "13385417587675468877969798911183932068",
                "37135307302937604247510391834111896630",
                "131538580561901302717553982143608991797",
                "16475108882395030658753132204720194706",
                "78659918419255455884174623071076580030",
                "267040208025712580989606940854065120758",
                "130270120189647973863264276924333074223",
                "231687604676094003035797697716049496811",
                "34398600771971612727244589968686631066",
                "14994839696288368064727627320038428819",
                "71237825416535316562169199279213479992",
                "103796554126268242307470648128396081944",
                "196250477760028752722985736145822296964",
                "186840676603714341800881441370418073580",
                "124009539848648260467715134658744464544",
                "34775597444734559276295752204674167971",
                "156198820845540494555084657921471890678",
                "302286317849362669287235068807443074159",
                "245994611623181389104941117908643616505",
                "42003115379408291590595502586991008881",
                "172696960368743627459518828447742314372",
                "216735909856597218599159394223018832070",
                "131905209432843770293858688085525121760",
                "318002278803324981260845078497999721392",
                "109870141694116956139049808389285679733",
                "36226960142782712195274168438958817765",
                "70827452379643065906553605061306366605",
                "82738572142579269003823386261587786923",
                "226468686613677830340600605767422204469",
                "304212780876329216380705006437101674601",
                "69930056039732699885799077474952406669",
                "255501664780488072009550655318075648043",
                "276465994408712723880328855776902078464",
                "138488231196205106809005191559859789833",
                "4979149731287403255959621845857999757",
                "59818438905867014889981179792945491931",
                "331283109608350540067802011268208104472",
                "301362961282722868120622770822801880960",
                "328449881236149886579560713753579546312",
                "319353980840830153592526426598016927938",
                "259802883589416783476444408507009262273",
                "78731843999487333391797822397865667203",
                "57236115493909810306726135413544209760",
                "273040521468520882102269442043450426637",
                "311289312890602225598092038127830316443",
                "166165906842938977082659025098351233919",
                "302056242722914326267941741766229669333",
                "99665260207524799810221179951631656470",
                "63685520103551668088208764384283422174",
                "334628846779295511233073554975230169381",
                "19369174569264000762114973655929959683",
                "128237941551699105593326584816151771773",
                "301280539697454102914200606393923290054",
                "280872238242406887129441789886368663406",
                "96952788948546932039173478313661842421",
                "306615922477937863275702782843178220753",
                "48760166090623035222353256917025808437",
                "226585155559892898413190113923983663006",
                "197737261658596387998464494664181944067",
                "280409431047637206664579115289096771326",
                "46116066689641385196456352480562673588",
                "304337267695394710649677953036926068904",
                "31056284314660799315770309918504385111",
                "152229265524916111151480210527151330021",
                "294510890135165343625852653417409011146",
                "321111235855197021864611488728360323189",
                "20287056029926716345297211261362475144",
                "163395954934149631171028853014410022665",
                "116083943355309061824822910137201789224",
                "97261376206774580808687039031841039657",
                "216490147558360807035183399174640171282",
                "86110903485655075331571692855267955967",
                "196832744123268216386990555509755593683",
                "89461698262424149027718883413769504698",
                "236109005045417458121024279528292767862",
                "139945259320718551009307442237573218433",
                "60603246112283682404455302763333923900",
                "339982394953691155807260881153757695866",
                "141195242339934552894111807169310372302",
                "52265616829586225373460809664811035311",
                "49307756527442915179137130587034130835",
                "23512043020079717067313277093198330499",
                "328989598070774122615075800857472045705",
                "222529036249170326326390200467456734108",
                "154104447705145334076456166627672497935",
                "171816370286157997462799999511729859445",
                "10581392346952220992740867009333170731",
                "172749158351907642188070179846240758626",
                "208692796998461266456048603167287954607",
                "128042247632654763905633239527530370353",
                "195660018518858881120422713656832182614",
                "180098867202375488657009676387486741695",
                "93662692140106357744679637118010451924",
                "218548825678337881816827109757539853222",
                "282226678742666401864816164640957302723",
                "234872084242234799709770107512274286934",
                "274542165318290994140630115226297809440",
                "268943806195123988136434083101751787960",
                "324414704077901676860188133879812198084",
                "256691966189079190307733258091050402602",
                "55691043798328456741599228508572651185",
                "331042866080989383407256530454737327914",
                "118553497931663136864604735525298979608",
                "271123625004570608885648753707878829078",
                "312554313577888688399667529306971999143",
                "132359033655832593472246070076396930616",
                "210428833742954425696804197656342106000",
                "135137006435475094850199067094059278710",
                "217904271642135661298227131990001284236",
                "109464649520921347319349330818454203360",
                "107447030909887357609191848314839487674",
                "335927347740877975642026550269949353118",
                "80715872743731495608888197022989634375",
                "153919005756704036554339023859114665465",
                "134504420697427716727460781418693043380",
                "8336530430422632748009231460263139440",
                "198614939794707977854124868790030130415",
                "8464231007894063634334768596653048444",
                "87088496200562568472328005462964438466",
                "138949163831688347638389395988153011908",
                "42231213061287418830021997394115299589",
                "68039318042512103506492298931673448473",
                "298427217594069771622274145953647701382",
                "52331212504770644606205301894964702614",
                "116344349494885602103338026538603561414",
                "166137648441715858235275338458875872074",
                "238886992526452099496896464002109695754",
                "200046218179327883878939379406815353545",
                "80045604806617044623479447460074698400",
                "109681025203826160252042215580770722392",
                "20843511939118829169253746877265225617",
                "256469441709314238402779362303949137706",
                "103250995006064187265015277279973317510",
                "213607583825383525465998467734226865732",
                "321050476730306003093911386784290314072",
                "286601927229875897450832493647855992026",
                "37256856755084776782295673559906435127",
                "12710345869594269754323877041618613932",
                "90334846880143083372178352797071498412",
                "129934961402710668596515077271436069805",
                "227633299510882657289871564432654991630",
                "100294934516471588924525824181604311238",
                "233879381509072067271780539226360367413",
                "63395732461093284002526675947410217375",
                "238676760341424078442005223158613909929",
                "99106300056884890860650219779869386173",
                "141350723671152895068313661183268742509",
                "54546894499953107436413292482347362442",
                "108460738826542602758091083173504899434",
                "211719750125872192896417705484867875597",
                "35881659625265686428053981484588765635",
                "59193042958364041102265997525366938592",
                "34209360794391934980618648670333682733",
                "160157363369081455918431687088628331904",
                "308420731249855521075182662210008863926",
                "264944555625214206369453472539107460420",
                "305551329728328435618488089217336520419",
                "228736370156562854078523444900408158513",
                "293546356051763763347072163447762682710",
                "272618982094809743100505138309612013421",
                "271741073075875287059844992824398467416",
                "176640481952513806298964563259365895674",
                "83688327414934961932769938365749483543",
                "176451774320982815106542705538092420369",
                "25536485699629937246372890110740073846",
                "306745904818600632401544007568071287167",
                "64648210674491522754601585198664449514",
                "226504120905184027521428743079797006742",
                "127869265731521256274090673164612729022",
                "223564976787509058538935176346304902278",
                "89766668754782675352095454816397580007",
                "98461237342156903871539376373565441882",
                "272204682566539257948051361682254374811",
                "293248135370333127876242781111615900245",
                "14053243000935960473565192117408912210",
                "126164881566499672999351941193854954339",
                "200670770676893986232913003200793880818",
                "93621836062858360009378249813991959930",
                "227083735909131206034128209904510429739",
                "15100295900682850026562370828433437447",
                "11010680271284305651855430062206189619",
                "271698934061502301200514040453911034867",
                "272753824548284859742375547777577519651",
                "214553584393649522163136335880657157392",
                "161870950291663618174185216762733355198",
                "69657568744046302995521793171408874660",
                "25969639292820153525526100614113189888",
                "85729840306201861749780197223246655577",
                "18019653766096991638264028761160947284",
                "332458428062485503718146951112619312758",
                "14036399530172465204743258958783806403",
                "220402719613425644624666174226882968541",
                "153303472526171646132342768440667107142",
                "83335664838706054794662929241494318012",
                "185973285959961401856169762983046516391",
                "249156110884449057612254436177299921280",
                "91844383508096641607278274921226298498",
                "228065204109433773263984292851014368535",
                "177090555419622818893488513656315234454",
                "301711553984942143717646891927251328603",
                "163763418276094026510275486626170414693",
                "305123994772132638722805509326614344805",
                "223062037330773436739212661171080063189",
                "306414573462025239901440405394325868151",
                "328106547843583603364428193191642788954",
                "209429249351036597524204347073840575397",
                "272714812512238057373360627131552322338",
                "250164790882500821789725745958351978738",
                "131529838303980707528620885872773844434",
                "243387986930359750505475952854282041678",
                "176991655050298490799710267925239713197",
                "270987757831482478232242196674377713569",
                "132746955658547532050018040041816306151",
                "240149502703466241371631059087141968706",
                "91413077396050427382945551265980093480",
                "165404472670532658475234209842425100600",
                "235497489756147956617579101932505551930",
                "221654815828595436590766877624039233160",
                "293521378782592606842107462752432416557",
                "292460898550276430296103575446639005112",
                "81711426789431729026712709136196104627",
                "298866370790602905105057696092543867420",
                "157106101292838571601325915145681294219",
                "325329701786347972334962961066650320115",
                "306137662214669117713821362757537316271",
                "270411470528528547457396896086946650773",
                "260325165881576859388691957033860489713",
                "296889740056499918444652517322593705868",
                "19177537352803244922230420055138966653",
                "203563919892488534549686838668727249247",
                "301660009659555400641395205692188962610",
                "202583110971877667473082436363538275335",
                "126430032402798906656648310875598877786",
                "115991619525731108651650945223813339454",
                "35096727589356518089462727944826069138",
                "337489271198671511020594028421437144030",
                "210458759274415498439266810789582053087",
                "159580264827961408551944057264266269160",
                "222817044007400689206093148407995422959",
                "87268621148621877280024867288218179268",
                "24407285187843755269947944001020630007",
                "335220629430942207629839860410617688904",
                "329304505939580020212083777244498917552",
                "124164049748859201984406440700066627508",
                "260387649408166158902174913649826474734",
                "99573602712989856614380718111777215711",
                "96611817877994084652510264555432181379",
                "126149367723943141934410564081542773771",
                "164927240563544386572967738574855087366",
                "24092188374324551898397769885070081312",
                "180852141847562715371027298784588495575",
                "230035432541262254155738673290666825291",
                "219475488847078034781106184176245758182",
                "161424724881599322979283431804587347760",
                "258654760634687750924764106508642811074",
                "133036785916544281558820336133034891269",
                "91307099359224076046536812572280482166",
                "53489160511574675591948749915971698307",
                "229693665044709754301202533801225843724",
                "117807467884784330828948951756288891538",
                "154076256783176272682635241215037167412",
                "174908863759622989414219918613515741219",
                "269271544474815155296016001004533108709",
                "264930731818563237482983778876686344367",
                "192243446524709284730102824638680870138",
                "203047162839505763610345271029096176899",
                "25165347163863293647916305371444536896",
                "159212959629911236138001357787451055499",
                "217202474612035351307213597900920813476",
                "146085220679572372303642859852308231996",
                "41648059497978771493089759844682228083",
                "82179367630701489103532420157370264579",
                "120357901928157226683345187954518271628",
                "167074158746495529974709853049699992897",
                "331417114464041042594559916465159894108",
                "181033459865872823440460198260433979270",
                "268925232666472868155755661636354043091",
                "226437369501931703001315549716453681910",
                "163829744458741752031092974903285153453",
                "301405209170812848186270086856439906821",
                "330052916157933014867143928623463044769",
                "8677547186032664578985287532129876895",
                "272875174682704880723101159503862664271",
                "221051281549988283022794330564837330505",
                "167550597907312466559632382822261632326",
                "88405706125442875651623047222454457881",
                "195293986444347226738997868217002689246",
                "59626073741980703880351116111502260338",
                "325770014999830411328356345743262725109",
                "179656452888646156235178078808362105013",
                "326465151447178759622265003501662448357",
                "262280972485293768013617643415608834323",
                "135100782738067737184621214155369157384",
                "243379985032635513082229526678769692005",
                "24627696426264271870860065839236821724",
                "328999403224299604285979203890084159168",
                "335074063727432905042599652825466974411",
                "115177552631916407883973309407387481730",
                "172912161496181360413993676345032743258",
                "321457413930898790827833737942295479481",
                "92690765300550623127816862657009083860",
                "113900328896100274233105765326108833468",
                "224111786306236266037775561475068069312",
                "306232332960508267855481834487255989644",
                "198847602973951375761117836676741977991",
                "118099403466924215385473799769279276500",
                "257854896658591949015073745825054455595",
                "119517504444110049641797770746432918119",
                "200286660068616888190315230493067107835",
                "75713568476597605204096853107237317162",
                "215734808511831049938234330219921710757",
                "13457369798956546783670906207122011232",
                "332668508603466179089543650725927304805",
                "132031515339873150351546632499354243789",
                "31460732911617617461064478600236413150",
                "186841218751884999369982959208879020442",
                "14101116698828276462307492637701718973",
                "111672374869901113849992314433139406971",
                "73181565048115907931553447423297073184",
                "38839886515037507076807196767027831947",
                "66440897588530069203943520120474105696",
                "292798971665051008815715648501160805205",
                "4018663415030122255980265033292164538",
                "324325370514462255640644415367121065577",
                "199230606085907127772696116127353682883",
                "6145766629977645430644852114456526202",
                "292189352433397271653492748734681864052",
                "6606202372847467431045960383091575708",
                "118266687938580251845177874260553476249",
                "165550308287152309874665050359587257724",
                "256102928053808237830669049288908159790",
                "14152913203669294526421149815247257799",
                "262643841114597429031042939635151794563",
                "149619895719405722642382460344659669724",
                "209453925596008368452395953243759957918",
                "189857279369128502537918135312117315307",
                "276637031574409223881858619085548067826",
                "336712651015561697678412940906522413799",
                "242998549314743418566351285018690820279",
                "180795225113204955960520405512965733530",
                "157734772736406523607538894585061181614",
                "279223569892810693416093491211820275900",
                "98915031291167811537743741765970986193",
                "222358404360484363819280732826662478969",
                "126785847978960025929137752148399166907",
                "120888427470855990505060095027904854005",
                "221061797326142012882761849128893123395",
                "137904571573835167127075544622384478016",
                "212709971517489483960606647233742787279",
                "12330670574302428216870149861616120991",
                "6359958904167148184579796436231900659",
                "314202427500370866362157154947526551590",
                "66371272551374175735843915996069915139",
                "114011142229222682830259183467669378849",
                "160988383969776624745696323030639486541",
                "17000564872583913508844304041893130873",
                "313403655950674020241698480791374328615",
                "210077805054910364372035977094355341039",
                "85569668616462011523079479327567096690",
                "215256650186668815389551457649582954096",
                "84173321380796562197323457868431203150",
                "313529146363977876010228595343586694535",
                "237698282711334625769288746891077412691",
                "188375273731698703608052773073808440176",
                "155674602738051665137583090295831121913",
                "122322012719423996347307180032157495119",
                "200430987021302554260461165527098974772",
                "208877844063382728240013094117532753893",
                "228112419623369172957293726853200241479",
                "112999034181864590495663145471142892766",
                "315749860310406185374721146757102341329",
                "173030763496973640883847583043775891032",
                "130728868852040148145406825761396820919",
                "69572583720661440365564114498934122011",
                "140696647597873637012706823069078787925",
                "39345393826782846923241734500700975534",
                "141359941689022872414477302657328636594",
                "164311566166029477298194519247453842236",
                "72950176386070527651980276038680722336",
                "239873234417818495251404449712142748960",
                "251043093307078387521918462766002677212",
                "130860229018728191574963334847450617558",
                "231810554715190009517465252331413735728",
                "150700274099812032818334534355048341541",
                "174501901435367777508344920229119739385",
                "252941268092616364954072786485859739732",
                "212297470596932434970238518196511652881",
                "141417442699812635878305041675742003317",
                "69431280290220799516800591583486974709",
                "39143729747021513122622179733845146136",
                "157532334698826579174478812768541427100",
                "68940664914750234199503884457081028342",
                "205771894552285036535074639341606090665",
                "32467995012306999546733233279196136454",
                "255557399926287509313298579194855315202",
                "52657022387056267393578485271226564697",
                "279539159954117835612261546001029540197",
                "196207363450060607566589049353367019304",
                "116260377577922821355566227904447478121",
                "242942568891375837905084391754364979389",
                "300647335301676039964317332987759429845",
                "8355083928723662217972171204859030367",
                "100124393292747470721929287593929819463",
                "322651402164094003542601349097735217964",
                "182334106989098799633575873082749266778",
                "80598446849410800669297953882690027937",
                "17060696830775118567362075390755216369",
                "312947237067512041358310305787006356799",
                "168539192122735828435108362479955987100",
                "189078471452265418575166327640171427779",
                "292992186886015037319444549427796436479",
                "171614878286121131107248135470009546755",
                "250162645707286314086588042830384377583",
                "126144579952476621987316140092596510308",
                "156021524534528874598717500503136370562",
                "28347350530445118839962672786284685265",
                "75067508099240413638625108921109873055",
                "2204298189266998695394218279174796091",
                "106886611952394085423647873570002946525",
                "45589706220285571485323910004166188427",
                "23531090863913808295716104220185272375",
                "76771548985916199358423252579369898489",
                "314285163807165436109933757810606888147",
                "59609372874710514960615260284227453858",
                "279627163692886418050775263143435209074",
                "49035537681364881227506714777690809829",
                "338599300815893269031531569330560255367",
                "158675515308187600300720945257852949197",
                "57046316110872798131635670857798331188",
                "129918189677811291124652683580242561473",
                "60008045775234169346556477096969738218",
                "256608830502737858450002008911588576325",
                "125345974685938727870131834732764429224",
                "130695322441393892470249925930209573996",
                "249437535307523888201055640366586562832",
                "10210157204893046755292937834465742989",
                "157466063852237164459120350238718469146",
                "193475273892227829160732043276879288976",
                "57622220660934050247788299615033314229",
                "39057109797249326525259960777921125314",
                "290824632216611072425133368861876913875",
                "132244854524002637138233379060545829563",
                "194503318092194240190215438714161603182",
                "325322492201733834434134393637474562077",
                "312920329725191660843644809646528821381",
                "25164277032008551750012528329542553194",
                "142854419323798733474323806990912022405",
                "324531154222562431945742987475416235140",
                "169166674037538795446029072814524591705",
                "283685700883349875503158712784904501624",
                "215068403308168303435170734273692107963",
                "164460571203768157117360619035820132418",
                "174079843878473690175399155575941715564",
                "138134020305556646788644349300797051218",
                "25810800986215536053037303586228970781",
                "78430344351693277471624546409979478731",
                "311813892661707037120185323196986296123",
                "84185202504382484663974259437718954144",
                "126564234169684199149980415809588390875",
                "142775677763368148555844086153505762070",
                "76742253035945178880510609051004328860",
                "314323176606133719743403453492436738961",
                "103239773625421182266242722583195829490",
                "190262428904623730327498148012636428003",
                "250935056548174026768266747934116455833",
                "262419099869678776764683961778440121372",
                "71905681176020858275756953516711082739",
                "283342015589450942337265327803485337449",
                "165364270482887838241913393158143100769",
                "189483218011401320565418937946227153296",
                "229100997554020426332490712137839033415",
                "33300600513072231271522729702518743260",
                "286664068162360839894492892362380610140",
                "128598464720979350723175989416839700632",
                "127181187728607046455647301190145393874",
                "53310177244856900828171345940832286478",
                "169089018146689821857869974607552531165",
                "116500420987142253038327612133468986484",
                "7936114933218613048851859234342904950",
                "198070224297588712374660620807194492581",
                "196522429604369639149833974812284321817",
                "55221254502884426825850217698571013109",
                "332511778621025261496714510380837557027",
                "181276348286640396439432771320171547406",
                "26074872529214268457382892445004389432",
                "294869878565617273707208138473489734517",
                "327326876700320620912974175687883379091",
                "150687732135320415239450008916260203629",
                "221495041443465017823479147020546070238",
                "269885873460909138820861840537363159278",
                "325092333863667933682925516939756920020",
                "146764862521394275674595263026930984896",
                "57389294472969392860623789582628373175",
                "5333825151128750830478549669614911172",
                "339398051338586591842211954825939034733",
                "129953821371415631779773244136996388910",
                "42895349734960458694654207789815054399",
                "338531306165416473283246576005757222894",
                "285934476775227491987678485307099187121",
                "97758671410988344494591244179914334377",
                "316258022900917009194462056745290339307",
                "299514396133067446136583330429648463916",
                "56402952182125593715466816150117535373",
                "2942912849138253556567358840184700441",
                "233691400829314269683732195406211947927",
                "74642259859715098713437288560537587324",
                "169808466519594025369858899015515531987",
                "148252509941574378921312513437196882073",
                "33196301610077349194168868394253756498",
                "281852024072842724258828446108012663488",
                "239171473479595761797582926225195137904",
                "164945036332083127458437059732455221568",
                "25182864997860500819832991650877023835",
                "256973861688076078076942225200628927420",
                "299313645302849281866383387579483782056",
                "180712690235362814166538416450081139204",
                "182279828305088071237487801178949162712",
                "192132004958684694006382443323419079206",
                "234472386203938274206294709378871894233",
                "274810159989389355284524427507248596488",
                "286038570302532040696099485570839022619",
                "159870566261378981501827526584647202889",
                "108325069282494775450466352986511814095",
                "317199186571363406300373553005750593469",
                "147825754129751085076277427353240254540",
                "195421368433531223718777508053294476936",
                "92062255562891208650370171879690449859",
                "78098696601212447231154740411415207525",
                "7453491165844088180402259265802577182",
                "3806373364930155024103070974521653449",
                "222822129607038597382189917977343160299",
                "34099187887427541131222761086324241271",
                "54544679847636835648605658735301135247",
                "329035251028421420010342058309326827482",
                "294937349147097891210188652779633263833",
                "291162096472989737265126976728911200398",
                "40059942126135150339432493806281925603",
                "337228106506020671494755529707714838616",
                "275148249687375764533028317443254424911",
                "74759274833106888040097644870809179896",
                "115627311093224605044645896830323421360",
                "166604792749514883786927175477514235402",
                "194236637939979162496299540184102857049",
                "234762313539403117376143479909023156037",
                "247101556615909342028563545815810886704",
                "188686405341829297488660978550492992230",
                "1854186454168401386992406006274202878",
                "252910447549939966251095124289553810255",
                "105803891354946313136171355743815372294",
                "173593838949426796072401141433503468535",
                "267835191253620049461911700894013621114",
                "330251754270230625401470169000735405059",
                "204788412493318305159524327355658003088",
                "56199650953379513589036282316886264862",
                "264989017521091257021025839823579734216",
                "254845730764440298765983657791994373659",
                "54015167205027042885074279213180309447",
                "71263191991491615779912433642674072574",
                "201170217940385655061371642679216777435",
                "44640629495170147910471909446762342863",
                "311254829083397411419164925717537439455",
                "97913825870857472385548800564742845278",
                "332878704953373916789207978218253162787",
                "169065167347314576203420645414487740537",
                "271401134620155290429009671830613576380",
                "70203595207700442506895402100994488797",
                "127807107982317368644294190318754791684",
                "236834389498738554629920379391956180743",
                "307122178636261615857923843237568447156",
                "130768801120812801919664335052586580638",
                "248952004844833511898508555176741735402",
                "225864854494838593736842650032034430831",
                "18292384214682963641811938025899150007",
                "23243293469184458505694671474230912634",
                "272926363261063575481284419224984812537",
                "54592734826379757908245290700208564710",
                "4546387565808867855175256239974647003",
                "117918741653342879478967876959952748013",
                "241296283616457360449397508657411955586",
                "175177879683887318046127061265633526664",
                "269078716161548561658644255010309451495",
                "238226982112252129190393255511969877630",
                "264498864692896358228550425059930633561",
                "52142442452715532904747956415949215620",
                "237717290151845792822177202586288140583",
                "339252306827152620494644161207600187086",
                "228555004095317607105214289220797349085",
                "41169032339465744892019191596897530759",
                "58400692893738565038986765011101495676",
                "37660379385232065284761472807041236417",
                "128507235098162959485577241552549578629",
                "16360555724460356652336385193538303468",
                "282548833318754944340735939946483334518",
                "138757766032305166768734623427374528990",
                "34823981741641533659251834779504200617",
                "12992605251830796867262339781159145028",
                "285072809123746159819806510853810676465",
                "164138737884878925654138199177499245500",
                "204372984040910280957501632494687867006",
                "328245930650164957655402778301016380923",
                "10377748040142247085371376072980263514",
                "178195546280495115970039130490199334561",
                "302626423606844189976086208065253871884",
                "74693011456143403201759556294201313189",
                "112636532197483658026985723598786327411",
                "2756862005958339168442145918449121581",
                "5461770682617210745923371622098906495",
                "13326324887023810241960173549220515566",
                "185649481201480185432329389553064725565",
                "302366178375118897567707276171127772809",
                "161410609402781869830350457355574654568",
                "28981567265074133902637963499728029271",
                "77871966571110274675484187300643222214",
                "47955032185198153060479263405927962223",
                "149574838160226637114058563702862248599",
                "34508086357682332041288599307606530840",
                "204386325181241529757678123067346044283",
                "87977873742540745645930211381632001798",
                "56819472805523435864023836829609024808",
                "315809502893962326326153712326502448206",
                "69977985047383993524923400596801752008",
                "243217868600941934884532268433616322401",
                "140920724141123193174818790861610511090",
                "176939236054722243752747982407039297991",
                "162564631938828082775456447070061078552",
                "336315991014981356137178017032991729174",
                "121015350969894848042625614625619716517",
                "194612708942985860336021278931977537705",
                "264787398209830707170957704821889787455",
                "267528648491071349756550615084437999624",
                "242416546511346738349271186240561488009",
                "183070803541512159195631781832653572671",
                "47505311548385703511671008434458684122",
                "183911915594923041044649036820137860173",
                "308442135416218331570315606066830869492",
                "82379451064189976423940866328689625354",
                "332633544970516719833210308120847994668",
                "205648214287090550915025503478333267566",
                "183728341071547861659318829263645390998",
                "250240801662086052598730753874935609712",
                "250421195646959134515614747955252416034",
                "335603747984270254212663209596989077023",
                "116930626638721439737963670811938232908",
                "162086661505015218371770724044193384752",
                "191777807807536163003116350189854613805",
                "98503231249843651854613965753800406059",
                "248634332668414560355076185785449778291",
                "102682459531201331544178827529590387266",
                "169321294297348553628881616630835852321",
                "102962328381606426091326233970452669197",
                "87597170018219057715790803051041124937",
                "106119888009176701037826324187326055856",
                "325130397433647851364099472646605514134",
                "57578644642256548751218035912063939869",
                "122227244483023105111929660585628319400",
                "251178206798467842531133740712530076666",
                "292570908349530764685662197883664968533",
                "223902282303632484384403320616179700696",
                "120124763406446265852246114846646758620",
                "59971903876842238560318155085622536983",
                "181801266172743435338568659883353738967",
                "153248021885739563675309814312186963967",
                "42932749983295057297573665073020525467",
                "142167249136121292162702516704463643141",
                "270583643959669265563457448396741040574",
                "184718898318445523411299919386025058475",
                "203308816546722193340068368171777648323",
                "182343200537434703996997963790457084678",
                "276092573105261887689013220637703039822",
                "30829646912815969721858193651885749660",
                "90079944994330627730198631316113486739",
                "329146613280916521807844781144258872492",
                "281137365597153875361424422199403939277",
                "149199902447281978426283375505798139785",
                "35200525322353818067892024517777688523",
                "292505140422467957048217634220880782846",
                "180382123905294041229221495869714435539",
                "196514087793358736077961963898476555159",
                "300240031351346677433506226062483618322",
                "143365394511038125975808267510807778264",
                "212071247370081145889014226761040058638",
                "20751676709334432422879529681002242174",
                "96318571290899298593443953006471787099",
                "64307285108157173892076550283033508930",
                "178718564064745739790811356764844319261",
                "127024483941422607856210733248096255737",
                "288854852177463697970277444510206265047",
                "16319732228034096849945918515717166819",
                "196834111935064561793605798743265160363",
                "161328057730630234261494037667012437898",
                "272910834405765843937480718242036597209",
                "185515586888016805450096259820004355065",
                "182597881458583901683325354691206687675",
                "216887755968251042658968008856924943931",
                "23008612456308156224249368372828407103",
                "216515774864512489543661903422115471074",
                "73129468456979143924181931088754205399",
                "71867493860692505847132741957606576297",
                "294893663090555323621543260661044776739",
                "326710343743807801002923464657937160304",
                "188151637151536044137735678776922732685",
                "59770480717257763676613795192979587839",
                "49129529819939270684552978777409688400",
                "4432398707417731314185221135882442267",
                "39824037910922551869452187390758172392",
                "328719069142047603829126085750647112707",
                "3173345176716682222202978738994736496",
                "107740981995351275490109735730053310288",
                "135962883330794940029370668239120942229",
                "10452220893811548194208035774272732833",
                "242883878607283190067344993148728510441",
                "169771162612388690192289077608285830",
                "104532880291361325551202643379454095204",
                "206237806668539502410592894082966029228",
                "234519210364357367943106211435898709821",
                "275833938705991156503982927193943840692",
                "313188196131988560914606766281490837187",
                "269781722719296188400301598069781517328",
                "211250597311202149813633379791866344796",
                "57685488286718209281746499842256393880",
                "24990162775247293130159736685157924476",
                "169628222492433360086283997819500960621",
                "136004345822831538220193969534905769569",
                "88744707028358759304619455907056757758",
                "71443167083382461673358684323527943071",
                "146097503921479005199703384246502088694",
                "149613176689865414747908654993756253281",
                "139361886585512961235420680797167541126",
                "221499692930335260576143047998886536360",
                "148156799185425308763890205848700079436",
                "135807043312668117775253098807797786708",
                "12842569256977077983936803824406034318",
                "319947888007292168596597155482674985127",
                "300089459459694240040163081029602054407",
                "213904435105528782341299333427236755599",
                "324260325694997212856172919736042882436",
                "213568348904295065310133631072848146878",
                "211550147593771357220948676585578510045",
                "275372308554991714416620363020931610045",
                "128689547707554892960943098582912222066",
                "62210019715971403908689205875011497165",
                "42405703242548897832091933482007674516",
                "31174261209999186213795606910420935836",
                "244754989493270784611995989558377658365",
                "64420160350672803728820164817735203027",
                "54096526703622472044198157990491573381",
                "250292980391692312606355330784132644338",
                "275519148209495873291687531319235532430",
                "290748186692312441860139259689237094194",
                "201990012179613367533008517744250475456",
                "239469595202291199285646566532556947119",
                "114806621360650424354127514757483043646",
                "85583194741706982137267047694430121136",
                "286540405455540790783544047075778873669",
                "279202410991490375444554068041072054342",
                "245278666659397817146246487943014601508",
                "239191643691458848185979972667998998800",
                "215728775973791575097376252238670868765",
                "124060683190817287034469060809083076935",
                "204890299940680246150058297492908531469",
                "193802301346898241003669179716814336026",
                "261392966181934108049975222056701181043",
                "149933133651480889668953497340192902882",
                "288960860943521774187548963792046785662",
                "221591248664208714999006946603446773175",
                "278480164276488869581160687488534028611",
                "174572878552607759725753145448356302309",
                "93731564946199240025130782051409693443",
                "128511512039344254953868766358252917410",
                "130515559202532199316412408441447210429",
                "128092652416711631597229764142834165828",
                "218227544057498700600416017344650346048",
                "24443312590489539040123742063257453641",
                "262116939735781945475888375881562802907",
                "232827305535286865163052631608334188016",
                "52831152250972990061812841670210738130",
                "224335238323980479478176690868107435932",
                "140068980585104131401306289614860849352",
                "254467056180926809411165972594777556133",
                "217199595950468735266047234526324972822",
                "303761801915830153830876941058069512777",
                "313985750984405660945424113270718104524",
                "205411914411954175843874632299865370768",
                "338668292279266075052386962981436585436",
                "30087697333334843191346637498145208822",
                "9122187966447126497018645788362687342",
                "181511183652222718189782064763233661950",
                "176410743023940395843287531398709915064",
                "123025299410912605479534053519500337763",
                "250394251614820762955434503511332675445",
                "163711150594681898722166884915620057324",
                "80269739492511491724293549363798569233",
                "170814463354544608856747743285545557278",
                "293133070562685609857920911441699357756",
                "313491536758864971247990482850474976379",
                "308960347865662121784228244690485734511",
                "1646691751106189269736742417717112680",
                "78707500519865865136440288001299079861",
                "2906182380407910634507612407248270278",
                "307028786698614122747101088124737865529",
                "255583538680038141540946156412273273642",
                "301412204481766850830436499869762389610",
                "176555305665654710013398218137649402199",
                "156701169901210882533779410575785670382",
                "329805800627001250375210383614646168904",
                "67358468381667715398878582520296114664",
                "265088589767617278829542116763638211711",
                "178624812848364450405009610572880752903",
                "247521517398305676942455783983681970998",
                "146169936000357217385241968499871833914",
                "53523660170317588976215299811098096067",
                "254047851224779519019630078092802436212",
                "321787407387220554144312175192562135559",
                "105371716662592834677236719974023985330",
                "291137739852905253458297607670494327163",
                "333005373238959365776833211282353077445",
                "216050783749622623480484072163398747343",
                "75393609794413704261158037830375740771",
                "322989015514833750126389706586548109304",
                "214033328600051084194363608043015763412",
                "115847151444947990384830415155503457113",
                "255845821201187432183765095116274907939",
                "64372207050108575001569617604140561967",
                "37258250062293002784408926395262681941",
                "184749176545682959413869374626242889200",
                "270730200470724253359579902329657193021",
                "190709433914617824031042799846256681890",
                "132190543198676895270927417459044411205",
                "242832338303825489990221348334201067495",
                "51693219460215931225366160183363729450",
                "108431918300411731038074785871201704030",
                "225367424742798822748861445300546628368",
                "117881523919356572566055382048444429294",
                "767339360259370220920398483722165846",
                "268323775105584707796689841058309455313",
                "210966047306738247423987723613520818358",
                "93131339895631983756787694909213761694",
                "481839813982601174584177475657524267",
                "132258094541993317985606182839656474776",
                "160724026553462453856836926871657026831",
                "307479039282432019553548769531198666674",
                "290405571715739137279700300171659246724",
                "107139849422406342782171731169372666166",
                "97493469378394716643682322989703298373",
                "76003750329185062565516676750503241723",
                "117725946197923711921835808485268916361",
                "126856647398362780045159224233709778172",
                "188669315433965683247162509360845437174",
                "119102256361862539630274703086785073210",
                "143664671461605551483922171796366985691",
                "256375509301180217409830081577965897933",
                "36814178391870644949376345245841475459",
                "272778016500847713590539550036409372287",
                "241745581453781451040310640758939269294",
                "37217317077856565899028841160553121464",
                "110074735806386061637817333838503044976",
                "142178905230993511581717635699322540585",
                "62826095946914043849375266979758566786",
                "235213201054851581675500928489293333552",
                "319641480826185396519830873439869239121",
                "317069676154186269741528845900961049138",
                "4189703273510541275657803744025108585",
                "98324165552169640262570160835450023654",
                "57791161059236327229379967976354314098",
                "258729014592117865666603864018236774856",
                "21369272531101196446403727101539113775",
                "226242762150065322747042190494980199847",
                "307677585173052115239836203187317998385",
                "100949015426424716289323747595667318261",
                "209120773499968093378930472749817001816",
                "52948277549955324844741829214326281810",
                "64230203373837329325899594787319216114",
                "197235202265510553901896534469866807340",
                "9750079129187652701226541181436716803",
                "336514006494096270517217096267846593208",
                "176233663824335991849529633968780858492",
                "325227765654013192849844094839406288754",
                "255505850471257193485021360422561907899",
                "268086349756078122396001476328503800921",
                "290603353721681872354209598967902500849",
                "152354428949008670560023251831361699814",
                "102854652320897842636008378378805170871",
                "322322639673405050168493961456162789794",
                "15240199463854636656576521390913888968",
                "97225543508321731991932197987780304806",
                "142798026298956009946079367384681782176",
                "144651749226803905978098380524896866689",
                "338372348338179342657518827909878687796",
                "331454873291113639112549808327115976048",
                "59031353336750962341646107463030194939",
                "209410169608438588705607896737237109267",
                "123386174322875875656160618964687239964",
                "311300865218012045341241387462106228186",
                "213832704967078836669778542927693657808",
                "268049119045395609259838659756748141708",
                "278689558295212185200744690382552248841",
                "30712375304064678111487269253191667497",
                "319341485460736690656680207331880507295",
                "297757333487354363790205263858723018914",
                "322063017098650639042144131118563656446",
                "111671981208659843005626689264410242672",
                "233827164846491837250484049888275211391",
                "13291615796426696574378101779087510855",
                "336288016458558446094994226820428691623",
                "299326885172481286420599306269851070685",
                "333412794789472075362924632475366310606",
                "73161817820098508931751568959102747101",
                "315733705346613396001480771822674208998",
                "99133128373031698907284955415039024388",
                "81394619303381716463751578303568145256",
                "30778551179297954252093020208126454362",
                "79340123785629575626272438040125482224",
                "26404213178643929415700150820398057018",
                "136129458897685751028359953944849584053",
                "269955245546431403261959541886535595196",
                "78505489332652066548649811396985819131",
                "161571711622577542029504499791642292115",
                "25244358457614698284602049483730574575",
                "143356807390410672443095003661274055644",
                "62204293420160522809883381170784532948",
                "32905056081853142853624982958106096593",
                "112935313258954167186754685509290562816",
                "7946407093377808753932998648247631148",
                "314587663831217775903057824617312100771",
                "331636958451652234168792947850581650420",
                "23120325642850460946595551916293735861",
                "208910207788485110281475339170092784398",
                "233777737241485887979476947429899429593",
                "122113678513577661726224353426534088110",
                "259391619171810615668829017496039706149",
                "206348177917743528990709890346473421830",
                "45620093757629255464267091850447989667",
                "115942237165295551221484074302131992375",
                "366378809977349463563344917102355972",
                "112266018145476974676923039211726026824",
                "128552446956795343746043874489485079190",
                "338658767875827339316415308161903909667",
                "153692302981514586502458345174414027316",
                "109083877651826892158054551619305432730",
                "99615123528463793408006253532798750204",
                "95260755000083649652710116866083662418",
                "76246460137146204000949270467802934391",
                "244914887409391709333723443319821769804",
                "264685661766558304957484975023453183903",
                "68545891421444963128240847121697058577",
                "53532760811294515340501384345470162302",
                "191801525764864625555199503454674141241",
                "305309728882063110445888233147403039520",
                "115495436621933945025992142266857044705",
                "46307552621086445210538944534281189100",
                "84659792983399443463214527109153144631",
                "271929284582553435011432649213056401017",
                "30810253859674033133761508096868797709",
                "268149408341211464342056961640314934207",
                "211661310096055408048309524521932556470",
                "55372151802246939125261730506719492642",
                "131407402401016620529830384328347547940",
                "255263001726348708952706780768033822795",
                "297839059659999971261393828486801366162",
                "314065905582594457008992179722593648069",
                "296618411301743389058626457200510689343",
                "57857475751545661686732892635441985672",
                "236606266854962793593871464540547350851",
                "2989176469079357676341224362598245473",
                "69294500288620137530654494970533908584",
                "222700528529308245775255985050926171830",
                "272402564883047635839718948763986274268",
                "221110575433921233623912402458880625034",
                "22446276323729144737516706962502842991",
                "75845763082824274502385523933289321745",
                "203159573175860646402115154103909402750",
                "326622961015225639278021835659815747649",
                "325509540017142203631094286779964168133",
                "150606066546476246458453390459760805777",
                "213008473508785931833181339109635296993",
                "165108507081523861296727384409832233708",
                "277799843612829536905799288762777002346",
                "177802412571247697063969920477660060658",
                "132081432905675175509034693540253772680",
                "539237006782154598865805595860984386",
                "31786294125209338438046478200098429750",
                "84098673786696018545085021631691138159",
                "187610805148547793407271040840400212018",
                "274978341459112017926336867330923328316",
                "230715686648692945567003327694870318093",
                "89158217642468753130406164553338882252",
                "155641023015483976847836248894488080999",
                "199075849086568003430170973166235611734",
                "29815834383453569437794613865573520934",
                "246198634658926374016541454689443306008",
                "13304717113946832184750667897214375982",
                "169427791518004986564021154554374720164",
                "206293471983907834004958591470595774449",
                "319902968484483877296311214327373773218",
                "2976673852535840652501980245642927095",
                "323786936173925305135571906718672495582",
                "8239352521373792880187332722894770858",
                "194778321276320222722115885221161200048",
                "236416893935904836162304256374167025824",
                "308869490917489365247196172157319165323",
                "41132893406775027100730074038429886530",
                "81656468757389758726987248095985101767",
                "268257101472706023033216024491355983709",
                "278902008452674805643056306219977061844",
                "36672278557407714156024916971257910739",
                "229606007705330167099682169227765833484",
                "318855886971151353781090862909364388026",
                "254592292145687057955489358173214849946",
                "120359551525324718604179211573700569105",
                "242093740158662528920861905711756818438",
                "119571635549845560253993971208329289882",
                "286727543609942380813292681142590819127",
                "254017376185877939453550288402456862649",
                "299993207410456403502171426981419366912",
                "166762718268466871465868044611193942377",
                "133696893976274359471130549788273861091",
                "53833252396655884139614736208601808517",
                "251086688095647191045164946887598186711",
                "142005092670681484819827915713467494904",
                "282847282443924060240385464376540437458",
                "87354401437921007587074350786612153149",
                "80433392435877162437033892393947526662",
                "66148726511902159342292644582113807010",
                "170586148276819329969311488795733032864",
                "26877766508606760568639906723344899471",
                "200494342114766376288089246403506454995",
                "226170231175398988699885349295726752036",
                "145566735614765503567441737834636526072",
                "102910257847443902407888581153447314036",
                "55153009370313973447925920844430567227",
                "19861326056578598163699668110964033510",
                "136098141639749986174245818415196516640",
                "37492791358387690488978921758267934211",
                "273588065644774370832537698228587934623",
                "307450837658400316182626579876918731698",
                "324235630243250052662754062047346460175",
                "165029206530091624978149583123476650533",
                "14636575083292225823672764587783092213",
                "209887471318776474096631744840465130609",
                "56795773521710908441697909684129974043",
                "250867772238539778312695649604585993739",
                "302951382439757919718969317891682215588",
                "211109057721079892980567779416512290115",
                "38167025123769916282696535918560414961",
                "53803938968811304774356648211232080460",
                "38658060712781439671498284822008831479",
                "36302113083262522750999112239722552425",
                "193190627963500383871958362673971481797",
                "115755151775815201152315789201510227338",
                "138917561662573597356603749947545586485",
                "303726012409185170277569735508164182342",
                "20159110189294680684811286009427422665",
                "76822855773953760444095227736146086523",
                "159334797699921944394348333193770273552",
                "101698336544850699250006169227422976317",
                "243678346245553338109912182718539732769",
                "42824971150706354653939605886081578427",
                "324895149286893964510857214690258873837",
                "1284044360095032163681581783808900620",
                "266374376274756023006558998202763694538",
                "301403675083503053289551222227852385563",
                "94386227281727260103090136533307565099",
                "39748404889984799676123097832195226467",
                "316664630440763110194998201853002062016",
                "328583981494664032436989722612286153859",
                "261835005778255030314668851100083484761",
                "108261715530046741455479403004093943478",
                "255643072806269808589848581994774447898",
                "4169772108832641828186630121058101838",
                "228923591131608785836021805215137427424",
                "22553486913971065523919703215792535451",
                "271227489070165861624149852237645640375",
                "312955270797445668044171802618932537940",
                "99872163052183554883294478911445571893",
                "176754229600065354789170943378850548777",
                "113481387057979006116866026847609257151",
                "73063148402665927275426863571474416425",
                "265984484227527529328133968548654378519",
                "317512694323348667653761347308896544407",
                "210487361475610363421872960657669448912",
                "152027244544856866592309501628425478853",
                "150961934968963578478629647038917177517",
                "242394378377662477526327782550324780813",
                "123794695491441128404684543259757818134",
                "195632680169516273465580127276497380145",
                "128323175620056026884111334306374442432",
                "98279186885412981854768933519078399377",
                "209952448891273613702803689900312601594",
                "173576516749704723415205539245533610535",
                "257563037328614666167458878928610086884",
                "177570657016350807635638593623958127696",
                "44323061864517669058476639624059303474",
                "26709578565855505049564127731104000883",
                "106588693720760790342691809177449679437",
                "134453724044716552372802880106341536984",
                "231101420969604575339023790963892046555",
                "325619663527316037531868440645627751538",
                "41813636606518732251716137791048423452",
                "268252345906506936086919829988433059916",
                "102705988927962053583659959571900104906",
                "126342921878416142357572726620656214168",
                "122918492778425945756859505648552391812",
                "212570793028719492241166368301320713650",
                "155309665381375215574747803681812813999",
                "96414296954652362814698220387345592634",
                "49549659410745081327521661324425028446",
                "82900540617025924574148448609256916193",
                "89087692453412316424969589903344076723",
                "196545049819083576430575496626009737592",
                "310422654857658936086294459669106622752",
                "220736073423771561676848487382450083986",
                "235472932534920875041695472992758438829",
                "160805331255729398628017116852580089393",
                "21668498210326508007309052376816669325",
                "111503728445296287537867260545277810593",
                "66350025622642442200908532671598008931",
                "53916379882160919576844567779851911644",
                "34846350105822102279621574969701538677",
                "25679789864845493059331498479253554740",
                "178596617679823948087733508079016795498",
                "108240629313353898468211710423100770357",
                "133608000734425510594134616606392566842",
                "338805424518785857171508707954254216790",
                "115495587968093515462315131612237087535",
                "78940052636959694427351832078746810773",
                "17948760027938966369618342805486011346",
                "257224455646596927718406032483475243640",
                "328567517058631039480111701632042348498",
                "12028454553921933800018992567342722444",
                "279073280411289265342356821076271399817",
                "113068717668230190891224264975615943621",
                "75321322978523993340520798609766299782",
                "209083624816685976818671270124373861816",
                "313489455167310272976992700602388330192",
                "3100077837511096987884484095427853101",
                "47188069862007645724955716818700447244",
                "229938828931154855260304716261941454337",
                "87973147748875575192788099800030236563",
                "69765914346410017015193204004337698993",
                "77033097905963214979433565706714287562",
                "240204528826633853276338735275896113860",
                "109630107875027567325960475118029268854",
                "265113352596198105722603660255999768803",
                "229297147238372412857156710328577085836",
                "320042889414294070346144053537439204339",
                "49188572344857965372385701836080098196",
                "314011055933733454747926581325077870266",
                "191673774689118963029481332660223373574",
                "129825845651903326616973746127330654920",
                "167693840301120728987956564610921963112",
                "54759801854483843597356385469313994795",
                "40370211682732926851027309509195101631",
                "121191233941554623618755520907350395580",
                "95089121740216742833071456708840431193",
                "62075066284888413231880234164122518418",
                "270274478978338246450344648959717123735",
                "71507183216270345564969641127573664193",
                "79659592439558219478719759944313972887",
                "146448192092976787062151998524797984680",
                "239419497655146116590236851758504508740",
                "298465660545760964737390833858371402881",
                "98221520820706859512881822866888199513",
                "190103613374613413599885862218801305128",
                "329027538481852795105595476121848964234",
                "67934084804985611609283485777003437688",
                "52693490423975008016383202134472687262",
                "71985424755889677410074784023864883247",
                "292594896813241883498095742848390431256",
                "265610480345478011617480319014084193695",
                "77065669035782732503157258820836636455",
                "327806458548450439220289314191447770665",
                "59948146315803861173769670945237744511",
                "241742398155121607032466912156016584566",
                "310852753765954022267811482630386381758",
                "73591658686351166353054079416193388458",
                "141095467853659226793238136175928186101",
                "245719768234134766193460926340030528337",
                "302459240910660531069206722840353926558",
                "29968709899697013980793081924914959906",
                "74894905934907674044745606630799393820",
                "310376467214670409792312995323989237321",
                "188301003947369531373745040109033919515",
                "114197877699803761534133439717199403369",
                "95250216854307116601338806480902388617",
                "301703421352517875953942069228800210599",
                "15473343405740531731780066745656101812",
                "73110441241921503216764673367842098948",
                "325070813670928635976321230044283963457",
                "115244424153756403508931880455869043429",
                "192555046487042855511296634855333264941",
                "134373971551185236511256249353361617763",
                "60657415994055172519032818758025864491",
                "86523604942546028212873930390429152649",
                "302777112157389337791808462138736161641",
                "261739404595250486455850924325909015720",
                "143894408923385904896019013375028796059",
                "18238743756949961999742835717932828466",
                "156395128379285742498682385419327411600",
                "283274722331700703522238897656430267212",
                "66604545062812693263577857308046587022",
                "213174409795225199877439679801321692700",
                "312521353309923463089422153079462651478",
                "24976737851319386636097633056449931646",
                "237114230645265304711110675217444201245",
                "168153952835607551859511687276668112671",
                "5551446402667796617633378951729697111",
                "271416524729234991810794019514561675870",
                "228613568301727451044308230775994911517",
                "284714138844700536852689568715507905244",
                "179550142833295782710107900877465625757",
                "48994609395368064688801737420810308379",
                "233290635806856506008609447764548022607",
                "195781385385131893674955492908812006565",
                "87733502306208409649124138879978497335",
                "90181983812768212332613175849130021775",
                "50324242181427399769522960157522769835",
                "36153401874139918284270819713949466523",
                "321467889269192064069070888488585527927",
                "125633372981565553920988169717045327285",
                "337086837886901546650848871462154060677",
                "299601660566493624976304695151051396115",
                "223510721864050741951277488676049866554",
                "61776046047541597172551249324224846468",
                "265990220669545387085163293498564714431",
                "325169041380265014969248234556251692384",
                "192535111984376901949976610138356058331",
                "315422583086790214517091745964335300750",
                "175948681380645131898241719631082995535",
                "165927620543486243177395807765987229468",
                "272520065374116608680689615492282866066",
                "118298642999472164973198843853140887446",
                "45613281854878548779654698511226492374",
                "48775040213041207889923807841041219966",
                "289195177983113622230506994801933069796",
                "115611804625375989037352617166179006949",
                "222408483921589920321654829247078220880",
                "334358292305085286772275193339147222930",
                "114754450749962201177488176962593071356",
                "157757423571828146105094073772699385325",
                "100562344538145155147208572711714161991",
                "280666806271831635215076238231225548932",
                "50442811951800198328438097693940591654",
                "246383003362231998988814507644309352825",
                "200792169108197129874750631327069294132",
                "215934847723748263198623694753000462900",
                "95550556366596272757961600854635036254",
                "314517742056653262689378761417884050028",
                "87684828378127394045706512758154501764",
                "43922752993346224263953152788046752518",
                "81084416928529384683981508060667473056",
                "151496336183392300225119485916174973695",
                "301374667388555001504238784956570674409",
                "151484574572722173146379948764620564282",
                "42022731221770719373934272132776803850",
                "85666543383385730485534799129570750134",
                "141314444999673301549913912376912993379",
                "176384522715769206038706111185172774308",
                "57125608404117345876182807210946320389",
                "200758233795760271844837693906140821456",
                "296567002605727121250132521960971193357",
                "269127648412968544605841150292926096484",
                "249916622902990928464892658157650174865",
                "38694981283809685919556496295087337659",
                "193383021555083134345307983874001686968",
                "17887053543530102307068746080564404492",
                "245521080012582567497812840001631883120",
                "143426313365246101161992767481577297289",
                "293252648998499394156711329665154681546",
                "319264848497783994584637815348328386126",
                "30009052629381072561514951680911905839",
                "299902161921711841394050198939409175604",
                "36372307186912021391794608761757575246",
                "19866941477896369086464870938313966433",
                "195052622492228325215516443298967085416",
                "214827949207466260924850545982104232282",
                "199778418152619611594647587101160426410",
                "17859350682179900124657846515414575395",
                "119758207254194768597817867552698983901",
                "89367316165057762630552395689977911786",
                "115082380194960490048768528234694173181",
                "200819260051573792341441427858590816772",
                "261023817574871810738216607710541377920",
                "38122603678297446257042172397122767473",
                "320774358712405319621954437543243882251",
                "188894329532180484651921839001353418964",
                "136903229011221208705590442105221500730",
                "332553612632481417963491356749752398146",
                "333101867945381686358046936287884521407",
                "282519372633153581395835258658408704457",
                "17737198230740921273128045087172087881",
                "95611741554698283725617020832215529049",
                "11479684449171340410328195204291435710",
                "21464144857751084774199438688599387956",
                "39273825121652403907905112160453444344",
                "275709806059669478767814956955881932790",
                "272871775719494842870982058166855937330",
                "330424780267969400830896058385746620787",
                "182624662576689773940007745132926168676",
                "292836675977914816836445883232011204052",
                "90503998088966860606813734469157974255",
                "182120741567870015149236486828287767690",
                "308011867130223533866242654050365687450",
                "319794130802936380897205238308098021855",
                "196783596424919197284620652650201943374",
                "327120505967433595453805041008000435581",
                "89498370073950805555901788463549820458",
                "204516484377755168714653322245084790480",
                "42739680543132581607448228659094666369",
                "31162322513496204040024621650663358180",
                "200897923876604715191796876617324579934",
                "178545554088545206728028692868808557252",
                "54349174094249828640668435087167455294",
                "58557134393268894284031047693299268129",
                "89288109047214170584185085240142430231",
                "309509629001356949584014800522890670656",
                "95727258162700486313610593344560230989",
                "54490033593576881839880786574490358840",
                "103905412712019984247531050035241332052",
                "185292139070071729155382374112346501637",
                "142515138434734673110035156615699980800",
                "297952450277438111623232927645851354222",
                "211246799019727743429769674821187382543",
                "185308485580540165679505351145019042953",
                "250689557792202383759508993885611990146",
                "283821029615652125147985451618340318393",
                "274338162348868442905698527878625913293",
                "311961341248355933053516301299511936088",
                "162220617131929238492038863745637562796",
                "66215177402943080791477272471569343255",
                "162077247932491612757720155918776787000",
                "242311314218512955048217448922693811404",
                "174681595021719209594726078015968087722",
                "288063026084787602129070689493328287465",
                "259257513812858795729904832880311891786",
                "175540285760688680372956511989674092819",
                "49077949315477934154197488661399518002",
                "251497026299243941715105152948284187526",
                "246870344632999713283273800004138628624",
                "286553750627018230195944051586439042764",
                "20025740529485250581288009747276591953",
                "55974273795192681111974858254009123744",
                "78819773509551119738705126722682186053",
                "311937841212090360653775313974556689355",
                "238708806372893640639973404383202130102",
                "16918102852463932089983430611526261461",
                "217734592831726299787677357436509289702",
                "331023365571796491036243329908035799010",
                "72937178474240551468088837091306462929",
                "205325789674747254677144436900521026555",
                "339606344179750901148041501843798787979",
                "289145534316791895032415688863571050063",
                "44198857813430691105246111450395289480",
                "253043698197862597596046047429779106460",
                "331055940763138972561033617694428025307",
                "36038067958842346504421187312948530205",
                "105724770124068386667338307354736391976",
                "68853057745077613150882311481852920014",
                "241709082685089495969489598833673672467",
                "90459697369144629838662810920604919104",
                "25953871831719182810871965722233022451",
                "85273786978515875973582640623794661660",
                "284307549304899351597427939438658813478",
                "330554268356025728393317832007348867265",
                "296183219128794472928537163886669897246",
                "213151351855055396648126028800740649515",
                "327437722569140721739457775192486663547",
                "79540473898490089232547339487161710100",
                "96171093221170140534574067727970831882",
                "232929437240161937165065172034324610116",
                "82837595278290396455827290053432998594",
                "264332094961992278774318232863466063659",
                "83216596509038524390708100247389692504",
                "241682656538164685014708324059350327109",
                "205485251463332028683117111397077674014",
                "198428825615825264206665142656347074327",
                "13215912109865144876226009000053379483",
                "264317288202377289286181596876429424955",
                "336368508188856299385706551488433814186",
                "32258840069577104995370832081265897073",
                "314301155678497927841628328524192294501",
                "98093163719798532438835180302104249466",
                "254602871533183081412110965602387563333",
                "278098795624530669990760822923482422679",
                "291449078414357782888965863488455957649",
                "100631715345083187021483706874936632932",
                "99864561818396411746518616838498646211",
                "231657909788168837430083056576108661734",
                "6162996500002243884461509937132349518",
                "131644788694011607980030488802353266107",
                "51964779450854616167006816323745453125",
                "115414246815691481288900175877640897753",
                "85813099580672295527398375072397696777",
                "277519895119380657234712231997821164039",
                "191933985947237903526642155593991403283",
                "1341639769507138207261019139495325464",
                "97846990034300942161790193378205257957",
                "60122194357552148597198764112287412990",
                "163482917415294291050796707370795035064",
                "111067767907046805976934258221218875551",
                "84469908262172703505962503885268226480",
                "246065112616012159132260269529968641538",
                "130633470168447464511944193813665717815",
                "186061152250531593290264828322418724180",
                "262456702664165722658206794416129568453",
                "317081219188009115100047176072585345645",
                "63576827091701071944799844899371863661",
                "14081567173952754401119038373606754559",
                "233345841468053511521597549934241214213",
                "319378742912148945620099504901348722439",
                "214705000833614331241816117735802458418",
                "22951238325570637471265648346719185601",
                "141792259961263302684240384601265650880",
                "237262930831616605355217566595290656924",
                "29794033923235277858270255320542776951",
                "296691147216904571749383156959646197756",
                "149733465097890447962601491601543777600",
                "275418966982090361991910762688748939415",
                "274366384312332736524857366799098002856",
                "55245417448758237720259391358007602347",
                "10896727531175882264317772577021954478",
                "247888102241767149019322345279365237702",
                "132771289821554790503667133355194473629",
                "164065532437454963832743452690583956832",
                "259617998511408980140751556587791783391",
                "48589393522490719314851871512923247280",
                "291638433080049989346420574261469072991",
                "289191690089721912676470902038530503699",
                "133205566361761029887962582726040712508",
                "192906315858568338160819708887926580387",
                "288616741355920625529145028153654918336",
                "280747831556214710943866568905714247717",
                "87979374398962295080891890113722331056",
                "239097520790504744493110860140487649479",
                "147240147638891075316693440178745629496",
                "326040984628397769997040668743658987604",
                "308618085762174777742609607639249842480",
                "54905883596551845494085927444093173770",
                "61709821617777825150093355305640372664",
                "138656515577309419963841820128925657759",
                "323115291864703445909331797250100279663",
                "160887362954558938910495973480328533250",
                "82760188573528683337479189570264956592",
                "298912081303415158659722658858050775685",
                "12979395182617343663087095010316261534",
                "61367951445690709052660502451575232593",
                "19355995062240807608189254862896068973",
                "233942655113647974477782718672686512548",
                "306417941574374616759531620696572846305",
                "92584913219999864868805180771371594450",
                "144875521285300538730754210128178178920",
                "4298498919993721442870287720146922250",
                "83664068996816335298985908054015599445",
                "297737086050038789148053978663509351375",
                "224164114240692401507690075918856449010",
                "41991848483572026431010653157006665422",
                "73303870381184078068643591707233784503",
                "286374253835299501258305459456039755375",
                "158983849464241683203438116492335208420",
                "104737715491020117372206473110319962482",
                "105439918359107386869073895344273271709",
                "29508964659743270804128539214992604369",
                "146693863915371156782260603298116799657",
                "295308277948657122563383238304618954160",
                "116704014726075176190023994302401186317",
                "56744280265005541958666523550116591001",
                "326618948046984769145509504416278170591",
                "318862625101527109112997000335147697754",
                "82414982865930112700976081147692934089",
                "133562345083645953182858920431763230428",
                "224146082703144482982075820656125990342",
                "18185364190337388370281495161505233101",
                "195496204536888418744550246926427035979",
                "110488338788798600810206761707731757956",
                "237663017515229402337523808879859575438",
                "238953706469503812769801101962989339408",
                "92424013763263371694554213332228557642",
                "156872023778946570656417246318147134393",
                "138202497675006467928164162290137533447",
                "206935706582641623077972507813070418550",
                "75842744066170748274226692329570336959",
                "141705479164077767863059400332559958887",
                "280159475703193677249272877702246927596",
                "327973118414920864279218951049859928708",
                "338024920653591116651051296183736867419",
                "122713311609748390561199761988905819601",
                "282826009509578615506951152486782361901",
                "267757497080283767415900623031145361483",
                "71114684668803314870736520923674453245",
                "54877307950082099010481671730033853522",
                "198957132807992197065791052507935467712",
                "320672377641297250972860523582415967836",
                "98955025749823638657663312964382530451",
                "240356541145782933795267953286482686838",
                "22026812426544437805350961422429107450",
                "22593626485510951636990879625310374349",
                "103764337494012623681040940597097205733",
                "110324259339119514451509282502074863095",
                "47235005838803530571254297378664041326",
                "108910240862164127524972306693200840654",
                "297510331845848280413579766686552138578",
                "41263999526415687763170519833752407101",
                "239840399960345837484106495907702230135",
                "124456383423048178135434075818189004460",
                "10210542157177830581085454830991276394",
                "338424921120635476301049367582050126308",
                "272247251382430616292923223864207675282",
                "13855295124074419768273748536675840610",
                "233151121444939213346821548696689122176",
                "215412163949024654162613829655500616655",
                "172705092461822709082029430568044812",
                "223545018372596579519846510914398458187",
                "215059806022707264826456606951401317292",
                "319108535454186847219742339252625295692",
                "175160672383790323162459142644267438351",
                "309447380713364597985971006455574971490",
                "169781103907047366340856976037621630186",
                "239358608395449623522817656152774865812",
                "195723747742851653025640259044251972126",
                "97947265315668990100456968420236558979",
                "318789381314273580266778791702717316829",
                "207562499706121699125540426283491247670",
                "111659331835916453006853221158912077594",
                "92566128339126236006539772020990713696",
                "226490162907165473458886964672894695933",
                "210596034573917135001963123647843413275",
                "125812491102233570604554431451734986588",
                "163765921741266033537365735741541329850",
                "143067211875497256456943938376714277009",
                "120264166299105197112542992834675063355",
                "141854186940349675913152431227116480113",
                "9566569224192832952770092130455644723",
                "169161264105788325803042993275487664402",
                "240769672454870581452246664623433285151",
                "211935274844934162729131835625297997866",
                "145917529501396488688346720146794712458",
                "214658722303882818342844021858740525597",
                "322153345648990832951068147555465640070",
                "129419344946509325444701457859889053443",
                "262956093248096231473191233195974352412",
                "121038820683329462331680518959121385979",
                "9612392020013745904745736595988247875",
                "197799609636225943098701265000187035961",
                "216694541908748678149677281329866234219",
                "181536047820495902820489885920812229703",
                "182124925502830672076630093957504339734",
                "97119150139989459905171902142823042400",
                "187886326196035314699356530366469426349",
                "292234996126933730380311518138230008153",
                "97279881719168397745308602933993510202",
                "56747418476540106719236853052139058271",
                "125149869136073693948960994960094215989",
                "279771716409006617943887730580476915995",
                "324640670600409383347273415697759138841",
                "64390762350473178884231136971302828202",
                "149424176193556606154535848207444478705",
                "327859717532912210460793159328333138359",
                "110839543956197288896971448747432526200",
                "99225799193572347362273310457302414053",
                "221516175126389134619928899147932302290",
                "71257934276546032554649664700081664521",
                "327036733642131303749544065294934486446",
                "125590773822519750934040377612514146522",
                "201179805573294614068977368440456261382",
                "54548276017679908975002241565320341810",
                "242716167635948675547576021338729842127",
                "194999630698002965658015547394317471346",
                "38587617497628648474852354722683578899",
                "272319015736006859607932747371801830160",
                "317321688515703921151952096972570280509",
                "130966778380705194467361440653439840347",
                "316128514079958648425515060337361745990",
                "288496225456888765778945762963592862181",
                "144318524505601233103835303372421305735",
                "148875450082084801113022262700059877898",
                "172143542056033935869548269027925438710",
                "28447151009758111620698079456311592098",
                "311509814614255420074540661895409860691",
                "202791789076795546742151573379700356814",
                "135801052136409155325287229129373333083",
                "61427188163054038712233774482190768130",
                "235761797467676922037749415067929887952",
                "231484375148991615900621752990652956075",
                "123641311389706756477716736689158139014",
                "152918286759293986114433367371118868530",
                "324846395382002376738121178750949671743",
                "120137696820201410138251139793394441716",
                "172571496208373665301467910226718795196",
                "338501126805542014387329560472753728063",
                "39157756344155048048119873936655680879",
                "106953698400811575731156498989520771522",
                "33039116249637428149366775537716657673",
                "72952532523177611350626423849359186684",
                "101330919152382615362238481184008903840",
                "38757282208214753693371871217047924602",
                "57258083661946672041603135821443935599",
                "249266627935311918194676805861938425962",
                "208522129972561817673322530992335566385",
                "244782234365255245847796725656287259623",
                "22244251349419045447031951836894768265",
                "150922773515098891710360972396356780929",
                "292390623262901472524239020056226250309",
                "175603335887945576338184905755240392972",
                "318473613242823067436775976898941924973",
                "31605758699423562063693024315297915874",
                "80046194361173680299386812956492786966",
                "313693333530083647661427310970851394329",
                "335204426413590579104649480215591752528",
                "282649043312089670694373979421111041755",
                "176528011484398031533494782676408296839",
                "322512448837063231273087151908440336448",
                "68825785666573762871046835498935391364",
                "150088043838674530783508167067611589812",
                "264758989311941130288191525560758649724",
                "126252519458149757976615035554515115082",
                "76454906671575779063136847880223474075",
                "314914812540609611355254801447425686563",
                "96952117691970305658286118824142275492",
                "304823311407675844680438807935278962784",
                "186210510887503907560352864092173131507",
                "201582879084318964787075381700510255236",
                "52697999193919543655746635877277919271",
                "189109108849043466836040645772208083136",
                "259345999851580492965023014969977019886",
                "318035108451375455031983077167833859197",
                "29337700600837574576894734094086302100",
                "19101378262872699211899347319100194843",
                "112187991411956885518785322624940295161",
                "66381855543334514596209737823008505127",
                "7468680991042438566966785586293977668",
                "306474470351103068661410613772622860664",
                "108828264163783889852207094272288492421",
                "264130505178301792422172773168902501869",
                "185874759127579390685343443594775386470",
                "104712844537260552195639058476138290111",
                "228847212546209117565201200024347395311",
                "281370562830805598142927052979203917158",
                "263277935322731740319872474495225210077",
                "246935344929639079320836028497695148106",
                "98540659362577115884615111428137358881",
                "180636396309482586762841398650752017174",
                "205860553971900283030125261006061262560",
                "93117114435154143682621346309252368159",
                "294844843386480468195072724834033075390",
                "295965699658033828837656052072932336901",
                "312204815148361161462645724260755980030",
                "148517402741505167647161691078824831179",
                "17485147297072655089639033374957731580",
                "177287426008249332617012796222407237454",
                "123824107804536608840244688028102640241",
                "101313749324903017681870891125519053471",
                "309681537987127272651838522704895798054",
                "320753473831081143095216469694878684892",
                "130616447852962176569630408117625815582",
                "95698804709578662730078247179073563748",
                "331132319853989965270580810425307115023",
                "239738753170484545871980474964915319670",
                "78403220576392465027455187501536362354",
                "322100944557440014626972308270756875831",
                "62235736915288321832586901933685358154",
                "53716070056892450029047094968014908037",
                "214123303584590081160488428923047345437",
                "219159669962591953460276453044828726698",
                "155264197375764345504473445774596465311",
                "103597446393669351909369482389356524185",
                "156381032550525683082507884400371999794",
                "96669558510330478710238162650815792832",
                "38813941810818651383062890979209298243",
                "232292905499850125626292912316727875072",
                "30161851770153724395584584035547152853",
                "2257200308017703197754038846967061884",
                "260362395938606376241905611695426283493",
                "92347616239404923874901665122819536103",
                "76203902878355516471249165469714693786",
                "50006926347053186055244259513355185931",
                "272735697718681652449618271350977851499",
                "227624319638826101178731081535299802404",
                "152028451939579637013750417734777690694",
                "118586932820637188798081906323295818549",
                "204899166988552412710903378980812397000",
                "224356952604578832122678356677895304142",
                "155026939443097617020155437527026000920",
                "101877514586192555276024029142317792970",
                "226918226717381705192361059583081464557",
                "184014357031208821324422124799852427673",
                "238233916834865117571144210525774528291",
                "228003482199718907394445963053344843718",
                "223253567316786796253298944810755986831",
                "270970681750089037259347126097830350922",
                "219708612833670470258176242556436576401",
                "169240500486323846415992785743376326450",
                "95769234442445684030004819656450724115",
                "173827330293667351491104168173187880328",
                "8028304696256199198780389757341911938",
                "270285052529533846552911691059308379568",
                "283340156050461609977979961873008674926",
                "15850237346228327033908823131755782598",
                "285315928037240348298696648450539119693",
                "11355027797316168645682487229984755424",
                "72879945929664723676847746383583392725",
                "259291251340819932374102840726322490745",
                "262356676529544685013455770198920701461",
                "124079958999888922650660599770459468698",
                "44329238319348738578910280403585321005",
                "147629390333072736942946887606257608027",
                "93259714133796371116879814485468711428",
                "294199316793075572635932091764436895840",
                "262055820711698053418569073514790179782",
                "307644013405628538971022140566709825519",
                "305808202806471429026725044027137322735",
                "31524608596039807612282052441144598643",
                "238152405416632069907702535598513788958",
                "285427324094983687654899117044530446149",
                "316385269570767944451536236443244000496",
                "123351056947393021584773812690462716423",
                "15494265874372439075756015664528005762",
                "122567863164610697680636835337260152961",
                "203150715915029684852903351097373454213",
                "140877025511547242528644808252704075952",
                "165944868692962836915558475442617890349",
                "255814375735577437339069814948230016854",
                "310903352007993670608400471149853951528",
                "338619311500564723730055694128639899322",
                "220829372634943084305773960038841202865",
                "217561122209217200024487033370615911084",
                "42909991594375291166679559002448789112",
                "20342559842942024053056484927320385629",
                "274023534409405956072410876686604831077",
                "218333177271455502060682527180702058879",
                "232424657443130328517958682692475256110",
                "300020685029170099244707024757066304529",
                "289190617752651882613644620232718163077",
                "258391591603459087692282813797553823226",
                "176188511859673186100546197602407703282",
                "309805285345431735546332800272917680289",
                "263234509984896247474422616028521544542",
                "335035890252777376049520166610271911701",
                "205695077986276438116686998001251923328",
                "117360494656055120241801275842850673293",
                "109540345336590768381818350156354871398",
                "134716473441604304663105738394393722883",
                "208832178855813191949126524578807928415",
                "278193307153256482305274111220154962305",
                "26468464024276242390931804416551377371",
                "334412409755395494912293180272923197431",
                "128509910987372943874983946085700459834",
                "327558765916296880680694112405874579070",
                "5841319268909601438819710383717101759",
                "276398608501852262496663994680968581624",
                "105501581084930995491552288197595208676",
                "157420379016930327982127299458442865251",
                "93944780767555482825398244779784878881",
                "305394232242912532392891098835943466585",
                "322326220627907835743703122286375251340",
                "4517055327738991611395796713667749499",
                "44567086248537822943449859108632364896",
                "59075316843338122328862662808606072147",
                "221692041735520268907683210695877913195",
                "291443764485880632069683542797738550681",
                "288376116921716300335814366248402580475",
                "97905545708995802908370668609940488445",
                "246057883062226677526658866274671299038",
                "307130053188548496580456221884206878300",
                "285973264690410102047059488877421512937",
                "240591200589997006872868528938218771818",
                "125848140629147491271853791508829269170",
                "188251164654402073286652632221349371672",
                "95530178604718481681496509878697093925",
                "217060750444655522393158792920472034826",
                "203073485296989654402856427017543251405",
                "99222767273710119639718289405071712333",
                "258349801766639081360960684075683433838",
                "43183351083013186636646239683456867463",
                "282278276330062867479372226037699777973",
                "168370743171073717673761770184609980913",
                "285717080156935216021028844339384481631",
                "23108614921254939443955142925290941682",
                "272425361662657109392675799923552799664",
                "103146188570641827005847196333087242123",
                "226135877561102015283762231832096043664",
                "320180824609328300766042121628609067047",
                "5931557300224955140549118153680630900",
                "91002825484146886036405870649219148896",
                "328986182660401956293447202143805484215",
                "147842002327137594135352771496447993986",
                "233739540849020561207025422078293161644",
                "317221600328709441853025916471141600330",
                "240976400508359995981642525898036866236",
                "239621010499106899036778500038538209470",
                "213018583488675654903534246824953300339",
                "59897414235661173404746360132606153878",
                "10694629525605692727402682012016818260",
                "221548443168582685234430350738568089052",
                "209053990524365489202326823596940089348",
                "99924852372187318920114672793763044141",
                "329897283789260777544048417844451602045",
                "222158040490774682578481093237686590771",
                "51979900821120231275648311806958897301",
                "204838527900206138656998491500204397824",
                "284090387095680435890854747873781259610",
                "255831620618362288247570458580308542867",
                "253828878185681799809757290036960096655",
                "327275968120536924023834046858807115130",
                "236647977566885199732917919090898776263",
                "209053299101039299423884632046351910213",
                "62537851342675253492292526301449220377",
                "130995305179699616264654287690836543088",
                "261118182833482968646889268581262878914",
                "264239885465430153801676506660933867174",
                "333327232773118038652543306583282256819",
                "83804633713779069246302468658624911258",
                "96071888312528053507964001236367862785",
                "99167633515491453344712280884025333606",
                "328929337206501850487497851751373207016",
                "254759659088683631864164402798478522459",
                "132000151038627156953939994083155997438",
                "101687661456078741150612941721103562440",
                "436587807508106176293687703369946610",
                "31589777423695664817920225820677382191",
                "293326147740622216497829545428064796975",
                "159758246142564462427028971708700220254",
                "247252227191521393351577150539227362024",
                "199494694678399031534239254646754911834",
                "263123018094398898522101336732177149019",
                "60988307805996992862482328458923671015",
                "44507214364335717868743330510234187288",
                "322622765891635850085310890476894446236",
                "182562476024908759508118122222713892579",
                "257713190095516582523408309478344169230",
                "201843141469599414594963215462832148834",
                "196878381788275059644180206041985594905",
                "200449840564661915996612359314879409610",
                "268107799119962565819503179758999133620",
                "310771845344290976749920191369269358388",
                "34245837373389697037286734686921578791",
                "105159826043071363783465658374191025292",
                "102235270763948660231580978967489836203",
                "1042214262174050579692638619928049607",
                "270799179241835620828216505214332881189",
                "274902368368124925487633415627861295071",
                "332362817569749678379162739391761373584",
                "85512288623895615527761766338592157197",
                "18886923631246782207843123330157381720",
                "246684569453533019263842784215848257714",
                "178730784202260940513700805591017496723",
                "50161166238450140309465293365657909678",
                "200395008101994807067750455762225671674",
                "138350135700008883317057561755242035812",
                "285373994817987577600202775160936229573",
                "120863846725047129589699440257105215590",
                "145411633578967951797352041482292041644",
                "212065603886937452179719767998387402805",
                "74565199193760658052422675207494489866",
                "82918894675319460915266188832226004320",
                "163900275816082382895185600034301802869",
                "88876323557130907128736068281752860181",
                "332690237709172904966360733512430598697",
                "145760937552682481514105683282638078350",
                "114730074282861283343701013891110838754",
                "154393858987847163739171067102750491414",
                "29458697646620651723010732521274817634",
                "277943356726375414605973272942415445198",
                "220839042425526620949208452425036564176",
                "90323408743650804848820990633898261217",
                "73985510846049578829323633156893823613",
                "245051530469613923546450383205169180109",
                "88883338730423746200129284377024280818",
                "273086785780162002875351063732626365139",
                "22295842908954275879816431265799511907",
                "240254835278959331841842641776818005142",
                "161927198632393319630569628412633758302",
                "240423867885648758243673922447269937727",
                "314675303084357145474150152717786685757",
                "220541897719120536923046873626269267327",
                "212300237627515288839814469549045248950",
                "157828237358629859828128629487423282262",
                "92348932796598131910862526908402050673",
                "114680332784521246697281189062327903699",
                "109360852828629532417421354456333630748",
                "30325962017499842898617523168710994659",
                "135284019766677364848566716426389952443",
                "11867447050941576532935581865630216854",
                "170459071520685615204196189068924509896",
                "63401268255108908626764918052072334112",
                "74503735581673370407962563260557617700",
                "23187653030651961511132558422070302628",
                "316092783074143775501956768516458092476",
                "324469185387937185103100789135335071304",
                "121772257531276070538611430509789630313",
                "287571455851509949685985066382543695653",
                "33396184153091320416702680562611710552",
                "107171722014266412989231497894920422820",
                "146342349293973157770790633888875507024",
                "300718624178463486915633011754946340284",
                "62603324271460770542558643015733299671",
                "92119724227830719587369224847429391917",
                "188067360097399735170975537592385118093",
                "208795388242601555728764146479328572791",
                "18705992776106683688502548635064867043",
                "36390801238220629946507104266383092671",
                "37471141992520589420085461778263381477",
                "226520705273662029599368508038515648210",
                "92491225902579871536927694783175158831",
                "264180113378475259177895496439919088259",
                "163978895479396335202265276746354595636",
                "214669629352001452082440305271323605647",
                "225144537909956669653307716264175024994",
                "299932595476723819715523064294055639577",
                "326545080138830311285078062934088534467",
                "244811228820905071963227881467173737603",
                "76196461670643333207029471525983116619",
                "281566146722597863900855658230042238747",
                "170569913153447443935062419326017367715",
                "14636383886981872765240870925441557868",
                "127493115606713930118167355189575559292",
                "255505136348943533943360813431854480005",
                "226476074377172542047919124326766259010",
                "245742956677884134985710654548980113730",
                "287598411377732007764988014868188379472",
                "151860501938677270784804056658720054837",
                "67987023601763918318644398574999188077",
                "210983424759630235255535292579377447298",
                "217021046180358790194777700470560588432",
                "133388747350090433988177933878225023371",
                "178771418007583662367463424370890354589",
                "127401923800573287100023061075655297442",
                "326746368243486586643995777279400813691",
                "128753910431517454353475016843251097595",
                "99259573928268004164244304784057378064",
                "140416421256039777039561579686688294624",
                "212831485247285643243097604536144126810",
                "122089938849065398961031701567506097052",
                "218272170581970580736488949610361823774",
                "214006202706647303818884168677392318682",
                "140605516730479465171593776398804112076",
                "98721424951400865617378860388134727069",
                "89378015857000826184240977059847985409",
                "248894576835535060224007577655808363346",
                "313806161425356257135986509998639553985",
                "158723863053021746106832078399069145720",
                "122383063858126446167821243474729614303",
                "168118348231935596676243149361630758550",
                "31817831985644363070496193153943649836",
                "19181282515984159579711372149986653731",
                "220234571479766623733567212504708266655",
                "23529284854096982231610676624499082959",
                "44911597937265357889699005125101273780",
                "237990953567896889549031822633387298780",
                "307153901290554928376086310680198459185",
                "123242031773042373720434256838908658723",
                "144556118352101568664519415891335230695",
                "97543394433994134188640470954906305022",
                "142435630181957248435164875003520059461",
                "34198945171724400755761022527865340811",
                "85610397431788947211113481054117587717",
                "209909146089174134133469281307975164431",
                "235621317825344793561638805348184524909",
                "122680493871762470092235087628011763497",
                "97118882847859198810005552818466336884",
                "80549882397552314557919745253375251418",
                "137137794557272298296464789156069517987",
                "217476552134181603765624521558038699659",
                "280327861104440799793716613105292085453",
                "130555290763749346742776073565719243819",
                "285443725398591483373891306272452535702",
                "231028742664232029165969738001968125030",
                "53735495723285965110481145892977839068",
                "84640803418527723260091109571815969991",
                "306999312687762100539725128956510636498",
                "331877740753381090218350501082607632468",
                "103433250794858736582869869556364021149",
                "176841516255785734763394084529464702327",
                "254087206758795915464994762223280751930",
                "130792361384108798523341595596326884693",
                "112214616358903262382525960306115134033",
                "300023820879423463436453836068577082957",
                "36898841206776424195744352442360979050",
                "161572923943660913685742129781213479086",
                "27045987107523443701096084868019000307",
                "111001431357585683567993795942752409973",
                "333847002784990935955233163799209373299",
                "91032166460090024693701614259118410621",
                "331548011510631311126777700211298131231",
                "333146578398131457377641431742648651405",
                "160665227932129565489801577255993828264",
                "173602719272125335285199601684920555121",
                "45291223973260925815022047742031641351",
                "160798521102120003054177779642057718035",
                "291622986772701375195178888460804142096",
                "297294915475308178417524944193937183324",
                "102660870752091808443158711406612964305",
                "297976868502850020041022399331396398088",
                "274127273418198724491327982702020254261",
                "200147125328090710196042412905988614241",
                "338985485821962056972005057837736960307",
                "128992205511353593642492260274523988331",
                "222259511829866343943482078424781202214",
                "281755146082166801440722156706741796720",
                "4062489148301294253932197971090058436",
                "287386625738335777601378673958519791108",
                "171539721251599865227004892084657927252",
                "212317359958550882923668250115369456365",
                "240702211881498201048354310231880787027",
                "118409309281487238656398939185911597122",
                "97525850048750865328000022388194527585",
                "218348082458305676055947167984296294553",
                "231226387864472581723881259172962345997",
                "23063755739092407016861287618632713239",
                "115784672465615200499897165440167670236",
                "185497753099297807514159192876440131066",
                "318615561048455332234664940934538596490",
                "130110200239624683167757026303939056387",
                "222147646608651116812995386000901773865",
                "197268418110247464482751772132837561671",
                "253243224936271129445443562716736317126",
                "21335642473168448252732230193537300543",
                "33104948717664648843979769700820652918",
                "334439912010053534578091901361555408879",
                "247095361199451745062868769796174071994",
                "338461956822634143708211873696498706168",
                "281674006841372251833906254187203914062",
                "48230801581706492687820982110943082376",
                "56763134993327131367558095631187770148",
                "51518546503996131176271161453466622054",
                "312521610827220023902193991752048523955",
                "28722483879524741633077569411450402008",
                "21758789613656096688925051332114453293",
                "88781147335429007825126495213360335535",
                "53243251005668873170603963703521068476",
                "296067788260188342520050040786759505188",
                "64653003937385843919007985205212180240",
                "299184748857604960427962759632308749917",
                "85992902825456060134459305624749350998",
                "338708430690107067502019843294374864923",
                "84154339115064016323026715322970467913",
                "317092640989060886405707525331730009624",
                "77672935474028205898833241858904398233",
                "229124692167308389900486553088840110805",
                "145384309183704874622291357847608097155",
                "197182971049624376680902438212615169408",
                "40844617134146780547278355334620510415",
                "119691918363529668722648828518926646361",
                "5512326118999532233481138577430879727",
                "230533800745974315928620350270933317387",
                "46975440054708916996828787094070324027",
                "214385792122511098867817302057746801130",
                "261679336666919739935544775328019663013",
                "58488109306735374070326911111017455571",
                "65410612567470236823816652310238401868",
                "11779402782270912977724177267704032191",
                "278413467574110683567744800456242860595",
                "100419853018912577224061997312002722337",
                "132329425353571449590645941486756228040",
                "16850684874098958424386354342692235193",
                "232508681717990815574982608851119499796",
                "29477610285890164707339731120006296906",
                "147685962448410954893099027447867284264",
                "79520162278276348859855349266111951826",
                "52010556156871507819504323571652570312",
                "266634106913284162774507387039032573116",
                "176952864074943059105445861423646183935",
                "242171170159559466750941597668996880854",
                "114108260290372269968629009595395895064",
                "69961206421274227253858753597019743988",
                "106959974611003944250059815231245212476",
                "332003874513067338833042755472967152557",
                "315991349805289011036218372678598258240",
                "241962517397831024471851265119130373945",
                "108626722326400568476279423360714933466",
                "123907150969930346134629780360024869904",
                "187196564464626916965071353453069981457",
                "315514413743889882778999253585954285863",
                "200554542609052166204652281416319273440",
                "108641405290465354517360407548493088908",
                "13779058975006464049133264351735288712",
                "150540181156729096530612854076249559362",
                "96748628638201241011985301644391760736",
                "98023343074274257002446587225918371734",
                "57364645420170390408919499663438639147",
                "209365354309053713902518009713826298058",
                "154447802288831345500576868885964541540",
                "76181085466959296926677980235905163928",
                "29184960403976888175507942862321887448",
                "50954386125110465081110056258414970276",
                "144774214948356765277109140032801596852",
                "126376372084863777416340825904758351457",
                "69386645179588781391866157661969037293",
                "4135400479930161113114449864951572771",
                "98314071906165904938727011454817945910",
                "112620968949770439995269483921904690707",
                "270955168889569461337866134301318568767",
                "128003375770323124147645649367028346516",
                "196127801481164472129819281710476250160",
                "86040286385137379165927871585126477275",
                "83933486318889188696683996339814878768",
                "189409124322337263519942357668328953106",
                "144642586578626116323248946771836993923",
                "29676992843863744495335655654484975159",
                "229629525832644211050446050295415576434",
                "217123556475346467045748927211631846176",
                "186059476499102360826433241567478089293",
                "316527223558728822101559902973805417178",
                "109121266773861363101369347380632587831",
                "79400377924934845888074703804738280567",
                "244827646994043728673128378728328887013",
                "11528335830172408024174856460274843526",
                "204774897077912457411926220149173165418",
                "122616752237232492206284198026069525540",
                "303524626447783932699397223240245785701",
                "215359000162360750386912644073150713504",
                "69682591500119227325323741852429820149",
                "86789456600263872904940397317785741645",
                "133694230364963616265064816135746425526",
                "193236013491081510906629497284673763385",
                "35384314545362763822812838506842447226",
                "136736427784754583685326389598706121565",
                "166004647227088084526963493145460131191",
                "159559080526718187963535349148124822048",
                "144495230156222089490095406898073850869",
                "123350786443883551723823230030167661075",
                "247455506924797588558333076746124567017",
                "175302788084550039830338054998950886367",
                "55422053958723501818349389797487372781",
                "272555205310713417901765261049942789803",
                "263055920360215695755800169429632614873",
                "312469433378577607759457413799255187557",
                "186878323439497027747495154633068598387",
                "264922378899314228832884496453106658316",
                "302493893152454087499822007430238832948",
                "79689385142187677181342538084418023070",
                "130671811272607467126409251013484366567",
                "16473844286983300421894540743564204507",
                "301191682326258182337959405137471038912",
                "127135352159909357411470857285003185206",
                "13006171578904253012259363541371112461",
                "111302097281296248909918121629950268853",
                "43431856438570319598709639589208793384",
                "302208766844356255748791376564557040058",
                "118150308478475284983496290469983784425",
                "73392793487408512636027312051694093053",
                "164535377486813541436515268995938561141",
                "86233170415626969324185291524815848334",
                "136516978118064759995644240213325804885",
                "15029700408857886459723225117594573687",
                "332980196106526768036582883836264324475",
                "245053187068586293906124767480438281345",
                "108692185506677515288111636799042645187",
                "183371104018037796015981548735853518189",
                "63998204784300644265272087145357846753",
                "235965930265134532339332445208695283375",
                "336415808504002770633073555148722665509",
                "320081928232867073665473442477702564129",
                "303781045712239839305974440843805881513",
                "159081904657910361700231200016794557318",
                "292198644342607852008222802871573235381",
                "158647420801332873876841184441073248791",
                "174821050046185919856131368977464299144",
                "220799213448512854629875649052676984059",
                "90926868106021052589913390440662968024",
                "139795798418803748002044268903502701596",
                "57639617367585108586332225294039670374",
                "227312518528390251070955723640255834779",
                "14090384221015113885828755013199689139",
                "170354748205645290795801856512182651814",
                "152504173712339588765029763823617282840",
                "208168929520948446455935843121049856346",
                "312313927226293033704863228304779284228",
                "290213024971369313198890753595570007128",
                "23544823105665822351375680960418997244",
                "113107927428671545185719203318641628993",
                "36234807718253364887815998453259256067",
                "319067784030365695758993246331256609885",
                "291496001131144833669891624206064974356",
                "117008578259250599186771304802504056221",
                "259444975596178475841886582073706199728",
                "22939351816305842788538073429888621855",
                "195322005070733725692409146593328214116",
                "112782388630841406806645669264509370584",
                "235441793816428016304593042493943350794",
                "6236015165635017833533790323095017965",
                "175487092658356325853275558440095125920",
                "315483231071944825143972167558405111793",
                "73676768639245131503158574588562994005",
                "196655287977755763642412698587375277413",
                "158207324558847369032423515426219880857",
                "80163345838281883958408283054703672815",
                "124914529668734945625877289610761180201",
                "187958762111753067728934257123269681633",
                "33566829224408465646505138806145833347",
                "80784901857780856970539306516783756065",
                "202953312336961069255681280644595229004",
                "291123166981757254751248187802109739004",
                "250515537489684980604344104098242109038",
                "304080325435819949108737097280552926083",
                "213381124708120945395657170018972063341",
                "65314029260206450036604929349506297787",
                "123575511811282863887241555147330309445",
                "241605339009192149908337287724858317914",
                "12394759188281262644066745259197974412",
                "293967458446633243636160441162467475851",
                "52251462930462522596904792911996726550",
                "212270390819614347015789222920855414607",
                "140684239009361447390025088533301982182",
                "264277933259204442950642920030848491556",
                "261711184653413213499484776052753984912",
                "182963547518593189169901130957964338303",
                "174836393507480492876533820509610238066",
                "263923238584035894039341832471825934790",
                "109120366865747359857310609199814983766",
                "217385352150545598821595448275484513899",
                "328802385001724946544289789883485588313",
                "1199629279957342645829412382893784665",
                "71409391252471853540939346236570835312",
                "319707941518769779613531200496325340321",
                "42541078066361588733922086985302269466",
                "19788746687475757289462847454868421102",
                "98151340240390285580949518675620791484",
                "183284559445598063277419815262648867049",
                "266433233788882700732187308390231524110",
                "120556670436593069223976003251899555419",
                "90213173024474410788682193329864144955",
                "89719634845668948714354071724392487645",
                "46425036088984208691087849271034656016",
                "274775256606609690489470066372696351530",
                "23559000628266017257957006568525202671",
                "271802671471758035137549905246640289340",
                "307107768022259785318525575563608254362",
                "235624801589828657170724002065660767185",
                "172711568652708198600087051013183254328",
                "182093515371870396862362435986552218244",
                "69869686587554317640369984886317120593",
                "328454792856653683004625916257199119730",
                "288673541977927164271972807433235822680",
                "338576814330485259557747671528604588734",
                "218154950103416654105784267502040464788",
                "166490838120169451034272079436598137443",
                "244179280906272683749315819340446620376",
                "220497759844082196705577745353719182173",
                "142634784128150185051296947138157400546",
                "69821103374231876796502594261413453115",
                "289476912771892686900899538773066739918",
                "252741537324462518785613582939879191665",
                "334673257390848026546785010810997465737",
                "59211445268664887045573874312136460404",
                "288669162394810265758420542802468348226",
                "281188139311750536396664046406646713897",
                "181855166649622447680148327404407656654",
                "169774634854697527253587606909312837934",
                "82499756416115061575303741383476888373",
                "88554558198451579289901694580761216259",
                "334722829279949320447676941953675446285",
                "29334935008672229150193098280136906433",
                "298746562754972316093439065569310916656",
                "287788601997555658771941959899477169213",
                "274865564953378407804275479595995692683",
                "228699305017423705905214949220767980224",
                "85038663263609513825136058450127926860",
                "231801565769528160238686029675117402267",
                "19367111364564906756964331096328510327",
                "107104643859411720690442802097352388219",
                "140513991158987769735857650254543603622",
                "131456301721310256274534892403175328490",
                "20788945823123538307060456763570777060",
                "119482143990817283960558769920979557458",
                "45348351906414909499143019342984093901",
                "292004141542105003799821150821238695540",
                "199172723976090204029685319637946318352",
                "12011716151199967257039997542399618726",
                "22232335984371930127792232660479208556",
                "301024298006708292824886229834312506914",
                "165861601649056292496034219746859868834",
                "241483051650475364400118755676493545969",
                "271801150961712619130090407736910244168",
                "131995041356755771897054785521106052534",
                "185462460871874371895472531547950862734",
                "116406723111028717532132800781996929990",
                "249374156559456753766178212731212207750",
                "139043284122076559164243906008858899051",
                "132612181401947745491922175405025368828",
                "33703215992351110595599409141419430609",
                "73450028467187970479194664058290054428",
                "188156039300165130029193826496172566535",
                "336319943914063170035055616304592577688",
                "263294095844859600646933607814891246779",
                "117508718209315850411578320043531358302",
                "120426597473118861816960993355091996722",
                "93231641208758451219351352556098354708",
                "305519674332744255704760984330458703988",
                "150718879556116120811450153735709621067",
                "15568289020506596410135173948757757757",
                "54250260459229282154857249334383688442",
                "260384775379296054960614773168188337107",
                "121563347269248495408263029876319428899",
                "170088448361575941465843137486296642231",
                "267713145071073583209760872540559147433",
                "80060014828589146240865664185379778942",
                "37563122120941438990598429230458031637",
                "82744512510753367775298067006199772577",
                "13045963708675788895711307101608386093",
                "153675888619434688141873673579636513432",
                "3693922809059342448969441579750122956",
                "96021640881159184126551705177411422069",
                "81737224656564907604553034246620800053",
                "286321737769758732140428740041119765795",
                "100120515011384796328943202438318499471",
                "268690834734141031363906809962628488243",
                "334660973303622943387745569256101932167",
                "200501383188300412230383117134140932787",
                "41547244154649150796367732568430330845",
                "326704306992930003233670078535526999277",
                "186275036480194099166249681085022869533",
                "11226814650799019069421636995811841112",
                "286994222494488596738816717699873497969",
                "165460861788442854349780873234916033039",
                "81522180210123747202286802721272863784",
                "162685855370369896503779397267886979285",
                "31381427615689382942227498291488967040",
                "216378914400402444235582226964169008536",
                "257524812802072626950334260634225132479",
                "88404063757014009201370196627516767083",
                "301136875315559587742087358260066915551",
                "118834421255076569896140079948591023935",
                "77671989205051713265041279666694443792",
                "24549275528304446539838198937692149388",
                "43650639240340578135414875959069695991",
                "293037404793196370806867334273870570158",
                "125239138721752645403933068270370593880",
                "34122242866771921451233872573218359172",
                "234476057155423496712822532328793361769",
                "134692124012725478792570747391093948006",
                "320421864031723986269045265397459063644",
                "57846277000381764884409807210207077065",
                "244201245998310944925883003424803361547",
                "226622689198344096720245238305641090098",
                "299388763045502188123431576319469404374",
                "226478496226788074810677714085834950166",
                "312279321077452801127332438752689161433",
                "93196694512635303921114390942153237823",
                "218474063279251015450129161723181448834",
                "335396255222563006871995162811954789328",
                "328904740619858836502376429031913024993",
                "314886181470218334130883935480283545379",
                "111004628800519709438746369796393164781",
                "108125198885237441773307751595252743186",
                "181524891364759134610783655516349165358",
                "95157033887019654562674678298069277225",
                "114211936037673062829514975910058689459",
                "148945152672659554439203336308230026566",
                "222266205972947836501859563357084345497",
                "20109130730484724771515905774956472004",
                "65062726222629742762790278308579150515",
                "333717378313239510181208592600899835494",
                "243462860893200584871991239475942741763",
                "38138114826457621457118975457508435767",
                "309847121614780177021835314601526643467",
                "26248259528481691112636669436616328363",
                "102220138845402529772212148232838054444",
                "51939565013950678367389259267722157205",
                "146959674613869642963615492448535229917",
                "120038154173515626078489926631087724258",
                "21948993069831636372165371857064664457",
                "22464126578841895986950249186706385371",
                "9623288700115795977492770004687382434",
                "281878265570297739133034942259018830021",
                "286045856856199876377234072844356671104",
                "175406016508892624572552156685872174861",
                "242870594679886483812726779325622508205",
                "162814733074013361897987335025755821775",
                "163432428279178050182281989347088909350",
                "305989720820097337948316503189037770158",
                "285383734761949407252839435669226972590",
                "274329362610382245676036169228430963266",
                "73968678805121848254294979352101723856",
                "304623694094238965278637267762032132541",
                "147838841116943658610378559703109136390",
                "212122803172416215946542562859966519724",
                "79497313344244911612138182567518023262",
                "285635140739924036720070483004701770659",
                "110215764346416375065720920734274160885",
                "192017506519792731135058461650464948810",
                "213283073366443652991899587273768157886",
                "141028329775079176480864128572095580026",
                "136261810895295807575899296842875564144",
                "187199971222289777714310978043956213872",
                "32062817429522905804129107222964574768",
                "161341215437705030378404673283870006298",
                "278839207238111259615259129928607265377",
                "245580855181352267457549162587764564776",
                "160696591382242199392523916936070916554",
                "274855181655361606064496630317077806694",
                "190209111459274650441575233943197616649",
                "197471766293073573242006256953746546323",
                "298286983554299266386361027752187586197",
                "165728583759190247815299441760080950766",
                "160483090124131633708877443987981259762",
                "263398976096829872592478157873779010956",
                "121299570741841528026483759899375472152",
                "319045676874508866955219940892860507021",
                "56874173283479023266840580459756026437",
                "75867696068682497675437224885827118681",
                "338008272638915967789462040674214607262",
                "80421086726290543388840564738415105882",
                "268519250058380623937615845348338924901",
                "241317904161383214012338244082203830288",
                "29689789113564162228139894640908195391",
                "78744111598717850545793461165256618553",
                "189916689305963405825204955817167727188",
                "314774289216930204793537013639758086872",
                "171346728539869822921006170243550649918",
                "65949863237388932636402361487586990811",
                "168136504840818409462424291807698342545",
                "337739524901449057420862674414283814194",
                "128162487141713713787349341459702815003",
                "78111315896358334785456598731652536775",
                "260613089989729146593546219573904046747",
                "243779836480891784600982661814467651451",
                "44600265556093636400817855432460188685",
                "61922380411508184756018741227262909033",
                "248967981495056608315756276230691895765",
                "274372516682531782042352824341375369221",
                "237329995044554604392201542079755321565",
                "289505052378879513828328812661021706708",
                "177384449671092433886484237302731972770",
                "49041589509499543252761413150716649929",
                "326695892875691213335781540340821910635",
                "201143633276736093260221288808855804811",
                "184915195054176886593234222286579631993",
                "325027183076520020905220285727922686659",
                "97801180797397825428463177318997514197",
                "14793406794508933528034994798717148154",
                "222137831784019394135069138490861327888",
                "28576689630184574589704381838680183524",
                "189178602367494434214426433557158788751",
                "337092499699154465892281798469086740549",
                "289917318550177045963007624590211538276",
                "285309182140191811006484477566272376623",
                "28535825718464937560852557652572688574",
                "261009469619673376193368610599728041347",
                "93832204658099041475338529019763578382",
                "179059317578139921041778688532772561531",
                "41524249892358471448635905211925641290",
                "181917699364996275795607678393133655034",
                "181557371565135466643697549017727314218",
                "150043656394585285839399350504815171651",
                "87511119962256755993705526818310748149",
                "215386396283405890173765406592460848990",
                "117417037686020848604419858472502671372",
                "63044185313359720027207116672467321799",
                "153066766139486981382073402603574045119",
                "290301863282350708823320003189695185952",
                "225512717412542298434191775413681860898",
                "221300546778168739642973962056581339625",
                "150709367014118377718185986723838977389",
                "315750939608815615004175327926133676468",
                "275407453072254346328973258308552092806",
                "235030310774557998593170806357688915073",
                "37785261056225732544229173523814149004",
                "293029805768498328380686464254909454579",
                "17356953800725164002317703589313375127",
                "12340768481949369093693853573073920750",
                "266866168707147748183064280260339363375",
                "128706538344103826062909454811858394150",
                "102217756919468298393097680734372285017",
                "88657824685541095565810907985448118738",
                "6629904685987224234220102270182632290",
                "154778283617191491853617438519268512906",
                "166727105527369864345007545764762207803",
                "1155773623632092696263663880381236321",
                "101968846449395184174207691986292610239",
                "172737203825791817062015862020041826854",
                "208207222601451180923974257846209885496",
                "111385664333079489622364074870614821701",
                "115400347574981095695417298232821945899",
                "320469262455562160412858336062016007764",
                "170757027410929165827987976042024623744",
                "74697133964212975128828390390025492681",
                "297489393139117704777898506976708245018",
                "219286565859615823494258810109018078694",
                "286742463183604122275216673522115639155",
                "90999376939660060974333968001220621837",
                "6913346156781257860044599859693520659",
                "184517546126750062490341370190083575344",
                "249937026609872527538712097184018286580",
                "263936043455306938736459362976919875163",
                "43683350274490423255679009350942456710",
                "243998468810047871012207574774812015110",
                "217144385696374242180936146368302526343",
                "175528543943903746638406361688724387106",
                "253645925179372643685256525277417376151",
                "175554861268651407594460549067662800068",
                "206984227069340612899557018920618097928",
                "22801533883813231932662005513120815351",
                "129344010008894176765683661889238957169",
                "38960798899702793961481875070553821061",
                "217583515932308926914801271927781630998",
                "155114508705587788853139233957491030351",
                "157545024610017165647363375024617649516",
                "194538627343488687110385929515456945323",
                "105609222117158206020136141246782502553",
                "53044450538746801374383130106470745801",
                "204404835462667975411506222489860848191",
                "205203399445064697438497852921122860579",
                "300207258906715841082332991666625285905",
                "117934319681225461894912620012695431856",
                "154411289232361173843064838276800712818",
                "239902352068832558895077816287345202530",
                "137587836131624290226495226921307978702",
                "262108816815842236213535762891181564695",
                "321783647218038485415947929137181247135",
                "265512528823129009127060567919990455844",
                "108432887297501501146815400571560469202",
                "268012486222693784953100268166210973555",
                "15350366954509944207961343603484927239",
                "62791149756969259514268403273749333144",
                "284343900142574826146642367236101589072",
                "338162489632121433972213187693365390562",
                "311941488594891144572483887178375310680",
                "317271994580271682805977471679167075658",
                "324104774521912448906657885695776753215",
                "266844982150567045830548087237775882939",
                "29367455828238226240823262063310464385",
                "274718025376810706163872837467306390437",
                "280058706393271183350737461780777268388",
                "38510571162677470199221007311254385566",
                "69403442602943182812353459213166325281",
                "256754043905579065919115755444039586115",
                "308360974163091239063934371705429440470",
                "40667545661377385389414782321191943468",
                "275758777561881355022602101682313925318",
                "135548975719214887703187916009286582161",
                "97477955275831035955100309286150286151",
                "76963848011672245561566019068721541471",
                "327565866188567666091309117152376436945",
                "158042359099605934564579330221443060033",
                "157394409625827407933966100105932459263",
                "218983597552834384352633356028715475359",
                "212627264272350859799436546786098522765",
                "210811577611415647746665669905639100417",
                "82413587938649778083910106400243306093",
                "197242306786750140367890565248077270476",
                "251127974172310345815706857091926397471",
                "77889197441699175216283397231290357540",
                "78474106597753930120609061255459278004",
                "213697860878488955213139003784978827196",
                "119529188150845164412197925497035228721",
                "326251139524196829711318814036496277101",
                "83615799622646142388124906624748529390",
                "71712235251188813704049149173476172064",
                "68954849804914214006723555375299020620",
                "55247740893034433241009539633024349392",
                "151231637403756309614293565492421064733",
                "122818265213812600752351578708187038989",
                "73466940396534335251467021068823825964",
                "172968140432890329869487033219617004433",
                "92536774322593381096888616008362377341",
                "215117959067776909399795041613497555945",
                "250360688435424457327945752959545961932",
                "5404841381040798169348346534859678171",
                "267559924265242228056009239892896080141",
                "77500221043529560110393036675590369260",
                "67899411364557150756350997972968673272",
                "114918158375510772926795367950498107250",
                "230121302893069487478309509802925761447",
                "103464952581317981272623263139686263317",
                "118943202799632421787471522396664267836",
                "27145722208408197402263108813120534134",
                "325415115776794163950669620833726619685",
                "129520812622029273414036337065622306455",
                "201976082394087945779907980818452705412",
                "74835284799045025770553358217446953457",
                "240728194427737562696410917737207655082",
                "152324394448607691207053975982884419703",
                "294350599310598388557181769069249224621",
                "108869923541581882119582645407887291259",
                "331428692231836632807146358697957994048",
                "145804009465116253327541515318349312811",
                "78176190653719245262462222481361922132",
                "316273144733378249677586597058406714077",
                "87902512263463755475728033363849904109",
                "176753103955112176000429775651472609325",
                "170312994844369009605902880946882367577",
                "247783232994278610142876317005745038527",
                "22628032920768961589393280472554713136",
                "29904545167112025637646543173600997474",
                "253113153908425422786308458589351545382",
                "243956258531237653788178075856018728577",
                "313756182800538784627223546182387770044",
                "153132629625290672026333935470020320819",
                "228636325266846886367755277110871843295",
                "88309930056201401388274425643615254573",
                "215289774949521405111650259808675776274",
                "152207496591881282919381064950425366965",
                "99978737160152669449842827690646120251",
                "215821862606246572223571596523658534383",
                "65434605342050951915647986092988797171",
                "314059952174601758740429728897870057840",
                "124818294025439414771181797880776051720",
                "268171099019962341790711419739935345458",
                "24326512489208819196850235596516524388",
                "293688608219758643588972617618789033724",
                "208538963986748832245407178738572104091",
                "292682362432081387595323329736616333897",
                "73777569251487093014358101001843553352",
                "336035953296918031897391897899202619829",
                "101505817042330244311649617672569392768",
                "110731097759000769369123574411237108229",
                "334508962225205173780711294335896928852",
                "143683659316985050918296940685714387590",
                "179367692598843171858485488060274271680",
                "229895907987263419312831899196156287945",
                "164102090749243746531002437429694169947",
                "337569743593908951610709793520187140605",
                "214407360053824120714540170894195829957",
                "233760391366349474350408962858675039453",
                "315455937150470289901541483431010918323",
                "102906082605138567594328060023596172425",
                "63032603406070687852042543886890425835",
                "309613089355681063935044440943890466606",
                "113872229351599500322184663830431820785",
                "50938389398598863005203952034343147205",
                "299055356648105806600981016188872646478",
                "44514233321486266231073463096615851984",
                "131351115484528547105766609882952989866",
                "177362626284076495763855927754737260906",
                "221531768653317207623561064896228199813",
                "250465537072323455137402102406116143103",
                "281965775492755009347228414890940630036",
                "45210419998609458718715703893795794988",
                "229383272846922325142183142770899302167",
                "145504110283856236591200695034899076626",
                "165721282197142107006222001381772063773",
                "321337762721472196000924283304867496832",
                "307861411726032278325564455257281153094",
                "15059878226293879247829014598434993858",
                "247592590026298449777678560601495944052",
                "281817015415633424033816873251628967868",
                "208906674591159503197735410243522469042",
                "202218403068097294745710186044578669558",
                "50610363211693100448886505132880318665",
                "285081440465747144798225304022454637656",
                "71806305704188853752656067282230638102",
                "339839032465503769177479669866475759078",
                "115649759681599211978835171289442835342",
                "130552896154110533065295443785886040101",
                "43688414530106732634678042839921475044",
                "93499653564673013066810524612486359413",
                "2017507422359243495201110810562694765",
                "38618908487962840133401266207564439139",
                "49477931562975992464211091522673828638",
                "66482003624117670097700755395240910544",
                "300706732667375269582540727494528988522",
                "281431389213577327634356960985567045504",
                "172783296543502947824694918997108653138",
                "124110926261240021643193684190110657976",
                "260311967070805548719120676177470588143",
                "97871813799669315463983583142919410014",
                "65107204122574661745865000672636081788",
                "23939651589671657265706736428341585537",
                "316658095550097244798807817925761125556",
                "200376379600123739280090709390572190401",
                "150996229617002872207095627950811108566",
                "241208440702550766985814722441571197969",
                "78981891055286337037773986866428214023",
                "28738514560650797589473221603968401184",
                "64747780587646895830211140887904081184",
                "138508622386631321546988796295126142867",
                "260220578661321343209479105562710927933",
                "19841980975161543772352149713992240042",
                "135962274922062177196189914704532621220",
                "141119141536182149752644312930585884908",
                "71463355405554284112490769373824648382",
                "52642283390612019563849926184413970303",
                "165694714894677258885641639222666860815",
                "60956258405832730007577316618353137885",
                "206179083323843852492047596295189731810",
                "6339568497352524988839837401028559477",
                "122325473562155073169567302711006588965",
                "95692191330598792716309460570020836884",
                "190224536470716799402269141285860541149",
                "186264696251473159287384195577009113591",
                "52992627401804930249234347681863704973",
                "314351109741988937650627168599980413910",
                "209240140449999592614640438074691933241",
                "55335378635811805792080618262170690067",
                "62546579255746558354402524426461706849",
                "80983277385781437067917164751733707924",
                "59267175051353203880078120225449273663",
                "298352167076516558287180317243127883518",
                "191982800614337246884079841660553242835",
                "21394974641366960155434153532559563431",
                "265301468864191960666549134513435606075",
                "8510771189436175674532736429996415123",
                "320747485559531233506445797676041436568",
                "238449997263647408876361695643178157933",
                "197910311298580762470683827024459692405",
                "173585741869241381869532258925284556171",
                "166049486765664633672642911644200313207",
                "248753128225855454191316987087608808096",
                "38096527084183774006034730828748999475",
                "319582369964625977142379094918778700011",
                "245856393522273999319889524070783509238",
                "114372585584005749692256310535804432562",
                "328065889315751493941192057158529070529",
                "238366680350604369878431340988254606838",
                "247612778994935951880224079230363063974",
                "102004577268863149234769937331172095767",
                "171135748917784284735178640110314410557",
                "42599134532742359709785462755580765144",
                "198593253253950922641868274804364941712",
                "253778405328883607367349243557175776436",
                "233094178625752070802365576922908829274",
                "248023372991101024943327595469743925577",
                "179664869481316434943417124952368827122",
                "81062515323556113804979581918533708117",
                "154975469360485683785150485706275374750",
                "73727004943161694425911389603071964470",
                "112372524566303363020567940594510999789",
                "115630862255893379847912958115211838096",
                "33454058061708605129689685985479320071",
                "275937486012355616177075251770038656094",
                "198719477116016281670246574404358367974",
                "212485622165921009416332624970856821519",
                "3760365906075251471890933587381584831",
                "104929624282772676484804597286576255037",
                "155877837319958534368194088205394181464",
                "72407292011836261741776300574576760701",
                "69953835722247239331400811463534567676",
                "47470151315915579743093841284699759745",
                "5822854557001638367092734722975105043",
                "226985070338155066162184465865380677559",
                "224974284997076021936633361151188065703",
                "134379879556204912650014215013554035288",
                "77951199159668101487114901114425510650",
                "128202297648840635005379283157666803610",
                "35741763197937573947432890937906345099",
                "21002180222335431851549626194502378329",
                "182059450851875085635564520541363376819",
                "131086318624815041971527219200943979602",
                "119475649269437140737556512695924447514",
                "153116595356450631148235019456852787795",
                "330577601669204272829352579817053002454",
                "173667855888428125508861805518886243037",
                "216363877682614287977258158771224182113",
                "250730247950753659906807182258766872596",
                "8254397106318233917648275582444805551",
                "224692477942393843227244998014477561017",
                "174178608612522153782606205682779970999",
                "59754286452274204760192598879263041859",
                "120022808898064491253204626403544812525",
                "264537307340571624448861025707252815426",
                "155029918627896982253777180376349967955",
                "204927974648680224567356784373388446996",
                "43034228517549944945001169808623041594",
                "209975483875975626475924821001636054352",
                "221418864418677635990636365859836143357",
                "166699026012129886616068030969321774876",
                "198448964795569020508430420501513085836",
                "102324873909129508743444590215016014810",
                "71353673849077765209718120382129232809",
                "298095816711556802792745227042579601992",
                "40886605590942361390002862940558621717",
                "96683815570136783873894144412150422475",
                "243373510091445200662882284023409839832",
                "107612371567554536914171098874773991993",
                "186865011904458952950446226928270361471",
                "78931494520821263494893466424411899305",
                "210828813879597520896490289392411873489",
                "262754336978488276672023765240001252377",
                "15963338504096966040017213313476130594",
                "264656953511031591287483100698775782255",
                "338877349443171996234850514978661823924",
                "216945714954634246587370324141394889788",
                "226929190011559839518084715995069822280",
                "164255587297142947547158761453965518143",
                "34090472821883407569903475959684121419",
                "13899954493174674462257567500367138696",
                "244154814776796570671970437942275446295",
                "239490912637464440381706126300124679676",
                "186064118464573056994602350524059028775",
                "196349349201662675484464254096779846315",
                "135943221434388602661383308731841136337",
                "150750099115356160722561052965413376491",
                "168521808803223277323541380198231138008",
                "315073857548174426810481990831757630520",
                "231970753680530665910603355584731591177",
                "339843792364189284727847412660382821372",
                "156246275664623933242564595577872336398",
                "186935180664970461267293375778748767321",
                "80814236339182015040273096269188980077",
                "11664955911994231220947490103450307208",
                "222446135492609387799789045072294379718",
                "107001262439208026855387568364313573121",
                "218215949720188897956526992353709642254",
                "324191891556619834616221097784845440014",
                "311620137472642145226074685512739523014",
                "102649896702693940570057073497644913786",
                "37631420311646434551245942046164098072",
                "173440592537499988388997872791547007754",
                "268668834720957450586492556689977091192",
                "286771264320271861876732586503550513114",
                "289197024885301149118221578133554634491",
                "29864392118287959210669421700321723043",
                "173050419389054014167895354223556363616",
                "318025381914750595362195747337803051097",
                "267879746153105280839515149147311068531",
                "325864122167912201087636710734773030821",
                "337419023333687742116596067894020431416",
                "88128548377194711308787662489760661621",
                "93572006490774902351228316558997807234",
                "248089808022213223747229513975385964137",
                "24602671096133228834081832781895928098",
                "171308650117402560543940475391215289784",
                "229390787927781462691029422648309816111",
                "146374380185206836743300919121661146106",
                "298860503106719584478125476001466676966",
                "7599117676936251525800324118909800683",
                "56426450211259899694956301010760444308",
                "20593655183984489932886574179134602420",
                "50709784903849131097864014388464032097",
                "149412999294902756065299100117400631885",
                "111704911750237720825691577147282080755",
                "319309696614620582463852281015258962687",
                "103966156756629279309921521040468723356",
                "162374370100498000787368761590905975472",
                "122018812279939650508982473669963058728",
                "84397949207940982251313164641523779620",
                "186168462372163910971214776961563944732",
                "9513396124925637464747901884433375880",
                "149150949866685309453961378015228660439",
                "239797126019945365091086480782669703426",
                "248000773468276413261802681537373415668",
                "307082359153072684444498134690411468840",
                "96370021797234629324881350339778272128",
                "280644921515228128653043003608760529276",
                "149583604377903921560602936711614508184",
                "32342483983465745224683891298133234937",
                "247732472910616570762207219681753685165",
                "46186391158257771510462173589398415415",
                "23547779096442565990908184591177474646",
                "286620537931611349063210070745109736603",
                "217319305159748457639024299746881507231",
                "142011968011691416992306351202627918841",
                "279979441818945396929930631188171910688",
                "282806667175090492264941118786346346119",
                "214098517263285350622315112460884360587",
                "3638320144944850397232777472948759607",
                "245922628900573292357543118453765592145",
                "52019411979464701823414545044574647851",
                "162496285210592064156731735309200156536",
                "188904515710632078930891638901039163250",
                "47602403630766699090064964264581506356",
                "303821895984793300940536699749326219385",
                "112527248658967096587590191937755716442",
                "78149893565323644580855041550614267274",
                "331958744314089392354417317766782239343",
                "265782861483604516724569183692269122712",
                "192104610190720874214227594521118042100",
                "46114953071228546349720452930464397438",
                "267157338788856167605161676147224432252",
                "262895617481905064972619494516285655799",
                "74488979479489345415276895680152115888",
                "127656160432200540289183030398152588663",
                "305235800472710806445990158634553501494",
                "152476614400477353674744867595006726179",
                "81344427332168257468823381539421030688",
                "202045279314654331067094167984638693336",
                "83353734335888692044982222195323162195",
                "121163553513287682253795064080874134534",
                "79275189124598807417509142568289442081",
                "279027716695160048082823622365078239181",
                "155289295348519249721572133501952444096",
                "186091270733916016423236197529153337630",
                "126380571894941912418773668459621026976",
                "300175427062525210690220282059525116489",
                "325908217401432436204415575333172125756",
                "5834685030911733392014639331745347623",
                "256677116166971608721384327115313301385",
                "195249168163399390394117437965961281509",
                "222780125372689049105694477849707341987",
                "215065698072049775909665300181567235186",
                "222064576550986262418298620294945695622",
                "196307188070259847593167348009802916907",
                "21883759813537116914041738761943729060",
                "268109391115170417158868978629917972645",
                "219775981665073423566119150622317489801",
                "150010123538002633419677863567848712062",
                "102495723891134885656626837233781250312",
                "163374695298188470297944801573940817889",
                "154558072586124050654478157170282883837",
                "71446514713061847686586588071350462847",
                "241351762285983543738196339773608562314",
                "144502250377313775192312639794951404885",
                "21276740209300742712475436420696057070",
                "44573351366672361109797762038403616952",
                "207483786211685286761828445772190110886",
                "269267726544464673325713980864462150101",
                "297364449434387608249081352005916087726",
                "311079684332637953212927482121635710838",
                "268923077320833993182439418162445421780",
                "52276551109042342028992779632265870557",
                "89597842888686819274840332122852915869",
                "309572441781590476358736666879399341755",
                "320173716531917831000275010108376625355",
                "71788659105343955232467891097040461663",
                "18660610835306998342866899415110810761",
                "279944401401232781770779524603422981740",
                "220698546095540003762282790924948453986",
                "219163493419327288241090640228226240661",
                "319542045524977453531848918787772659918",
                "259144285494673245947160499795261484821",
                "14307990805283549049664742311935906663",
                "269563996959806696452619300951103268717",
                "16701576623893073979215631652333656367",
                "128018681148707644773147998118643610225",
                "285593573272266683946911898318614566955",
                "7031542863990764898249716180943165620",
                "183936113395958848513362067988313711332",
                "123844036770808991741555300881455664263",
                "137680820204545434364835576261857470009",
                "205378997566049586042796307844470214784",
                "309580390640925398403078483678097901227",
                "74499146053331870673149986153098146394",
                "288039594688744076335943909244133270314",
                "20829021574766532414861700117581603449",
                "314137160217518757105988703858496897544",
                "304000556009084711498908936110244295870",
                "239611437641680500975530687916481671999",
                "255944170230934071403866801741341965458",
                "128917671657882434201802642322471558860",
                "274328612854158962769997634056566347656",
                "85584632727063983165656910955296372507",
                "234403390703851221965823252922072383356",
                "220250040659611539185789683385560528731",
                "214772663670806471609015393286379499951",
                "103960530202009092533804972264639331584",
                "13790594877783289971822495505664192555",
                "55073763730839995322492112693269221542",
                "210685746626149009278789450527245529041",
                "102197276310448507643692889096646786797",
                "11881772091499205292037952653704313268",
                "24532423238292946366384902529771166841",
                "198691392658996464520466640362119741217",
                "201811861049529465680158338847870716667",
                "188957047087049320345336973241082234112",
                "256022086495543278904529197452097165255",
                "51348293605140895413145328789731489435",
                "181974350591841668602745422509049391851",
                "121181035578498804466506040294104143855",
                "28178743448679817758165896420084047432",
                "284569138294356849463685509012945103616",
                "4604776902558750286443813395724643536",
                "59715160134538611041835337177039202772",
                "59963124638255910923499420964431327435",
                "312274038981349526818405147221300244443",
                "130847936189583513498437830426960437639",
                "166881564492682944495920742609946535470",
                "73480233343825832000414501220254462473",
                "266594276620669305731249540928633741344",
                "191843135568607415682073471047633895169",
                "286102043630211109673050688766581349426",
                "214072275070597165940701609550280154192",
                "156728566194273216195349282783254564325",
                "28735744131479382675536401795917608499",
                "43228112723412445826786548209958625110",
                "14813074388769977588229558019065939981",
                "289505850579025626495102098418755180531",
                "189866495942661110621331652523230748396",
                "18733932241312985966573518748247048336",
                "18826201727490689680795745061356156155",
                "182295066842119684177823953128684413957",
                "38173435879604259385090265566444985090",
                "161931906712506491530180177735746519453",
                "201847640049470255267036300490603861427",
                "210443134868872180810102595495574083865",
                "163285559777466908752815651937975729275",
                "287643646052094935956079891687785439612",
                "198893291508776842443245262997457211921",
                "45717021282509740085088148414792242507",
                "250918092297080207162663034375040487753",
                "41182528979805155718910407185796193273",
                "152174441641615752167575912357215195637",
                "17843875944968584743535828570099702767",
                "249920723393505938347626487782306991398",
                "233564689329693954494172986695448297205",
                "83348359330634565032734135043080886132",
                "208005531388292655956732731064217719685",
                "203054214268422854524649076420172266234",
                "190973672134763422538419631318379637374",
                "123590249892888935895286635337756791900",
                "332092284422933218507945879350896543848",
                "276533007676156294760447553511975734883",
                "211461971800921369132715178722177576259",
                "214586542240337406408350917636087432282",
                "316120006362435258319706377248213867883",
                "54387542970159251674523479674888969766",
                "297218067515488571502180446152137866833",
                "34572282742848687271106403621983806462",
                "331100223306402213961485481070778754646",
                "30537086694299049090736633948939212740",
                "311893007116778095514477612899113024938",
                "137884559124230164626334795139039552337",
                "106464762064996394630560819572769061520",
                "225567838522449389064345028473568346869",
                "331440933789771520778681685232672397467",
                "73337722870196181046943227975847868077",
                "84373148739962746250842367331404597512",
                "25539480342015556791711638711320955589",
                "114253800591319618102110084997691904360",
                "60137878253878525843365805742408597523",
                "8435666745813873471939509509282375723",
                "213931270604750449330117371287741540613",
                "39305115777288586473371303113366185817",
                "264984111494700952494951601461782734327",
                "52345183969830676952560680876552595440",
                "201132926864861116717855198913417851286",
                "255278674507920843673526046170509301914",
                "276796220292550801827114651623086115909",
                "161288581859531772072562281888235718399",
                "48442685071834266524416102774112360071",
                "93268453051880162791620340653256571599",
                "225727783830828205262810411551816369207",
                "229234440112862104413483231849992993375",
                "340125975660056898118454675711782670015",
                "46863701032155838863387795950285011694",
                "11029429544158804982270695809432446948",
                "179095736460703251976541123985153750314",
                "321608414450054540163172443004579657442",
                "316920365354546584825183909023092143449",
                "270651781616218045521723960581637742826",
                "204580251841511373866167852858574482606",
                "88511705082674222833355499785568565032",
                "66456032415529618719327623297253149955",
                "169245476872706379404963110773448207713",
                "1731147839256585063917138210195192411",
                "170515167454271091332088252670505348003",
                "57238279884852444389262537076634273448",
                "87543769696821605812766435247751567383",
                "195243739854099637342125014335794063266",
                "327568849120885426348298415705519423255",
                "316855958436627543405536623226960519456",
                "182958493893495258857748712980189267822",
                "142400190850352582414964982279194511106",
                "56539932049920895614589046874957764858",
                "230831526498186512174419775751265301667",
                "261256582260425103812625822383737696701",
                "127642455013210810072640176458433932487",
                "224991538336072524533280785985555461629",
                "178307236222165347816658612909489848515",
                "110200254734011349861873386349279613689",
                "104947364675965343439704574257515432630",
                "278489655033429188257720045381341446907",
                "149413965079305249566371603793834182605",
                "51656166664205868758382320689506816561",
                "49118800451411142180747167266079138082",
                "151329678714857848922665432738087319227",
                "116190695968354768954157768608037637634",
                "323233952768364720216739869018034761933",
                "243098597657403117184571607056388393465",
                "87662339576145809490435989242068954372",
                "240478000584730873589943334696634287076",
                "131849626041501070372739530535878563312",
                "67764489685370986293693006740567677297",
                "253689654448601952144032972570166781150",
                "296325698764513788160976471378742938270",
                "77037373111792643330713568042020848935",
                "52137376877119779389595117493445717498",
                "186210475601091856962754059798821138891",
                "229116376112401492252114442606970771983",
                "4889598270560839438988139381112567726",
                "257178453492608295983229577159255776947",
                "156735271833307173197563669564990839466",
                "13700674834132670350657476803586733849",
                "272600040711893950419641645799241913183",
                "152071464461635475610761862534473646336",
                "31454859781005977519514817753877156516",
                "292440158152402373475892204094527921519",
                "146958844197341462207154015234821891575",
                "134934939874986299288435680701139232868",
                "241773024311931075300744135036492540864",
                "241249865046270271364790723686587657639",
                "269401497002082447804044339039210218912",
                "25599602726278888425740272298978349709",
                "26648260382452047112183028922173331737",
                "141425173523018340194508606039264080518",
                "290262190518793226741839208892860294402",
                "183255694258841315918041106845717846223",
                "52057143231158439357523176831516087854",
                "321742631851119358358942742794805686106",
                "242647725533829189860818766031531029682",
                "182152519814761427207310116811728338406",
                "198278427048067790661232653956963243933",
                "323160880474292256417281705781037605990",
                "177789020187372208047682022303596688191",
                "314035998823856397547909084873373515982",
                "94091115302203638980636185474652710322",
                "193346952308837562930112283720590167311",
                "224846483901856272964718786328098572332",
                "122389231888713813394584412191067130812",
                "259337742025264839821365590179282038400",
                "91785280819654375840497712394945330939",
                "137449149277674645482006618539762751314",
                "304894118440718644321040304876108027521",
                "64296158709061279763803706627110751503",
                "13993506389332267099015165512293349380",
                "38226073928663902392885158070021565775",
                "127841715389622446986817459050236740149",
                "290272947911050105305251434629351672145",
                "244785145290243850396427295561141300475",
                "253072864987157657655658538499548916070",
                "172242433748057183388749856644752246460",
                "95893562715649614591375901766741559747",
                "15313937654945813767188982360819366044",
                "220544679662971416626990732138647051465",
                "273850125112839836511251838929185546940",
                "164472559074451061849160960951447373439",
                "156083465285662523066049901481412722339",
                "118550852607895633758106687898590799159",
                "258261026831049938976113460271346433460",
                "292647269447607385604467184443311114018",
                "112996202447437345397815978784067171322",
                "94440988511969794732112672957041700858",
                "12325506070475863309007631761249433704",
                "239022763529161893508475172992845483162",
                "113436826444651327036664490558382853555",
                "164119313557787552715575679991275212169",
                "60723561066861701465869872139431295017",
                "116970951126113398044995525031912492909",
                "82913868063052291942425951746345620154",
                "103954362642538626468766306636560435676",
                "40611446493706786799346536863961306780",
                "7887021928608118109603883445581372818",
                "113991319586683809006336333741262666117",
                "144424444444677199793427725292113205263",
                "62616470198196037824767299014810080913",
                "39989992135387694299268402471938729589",
                "208531159592448526077128253222024430949",
                "289367176290610093072531676137161686433",
                "18446624886352937622096867922648761114",
                "98311136335918380517546614715912601079",
                "272075350951818358976260113424200676945",
                "315032951451751039581835816161350434043",
                "1070838016548721008861683424094022137",
                "293833193094111126903710904624053476053",
                "234128796025771707430523677610704202040",
                "155190938294352704531664829855950245833",
                "53251921793956221773615175212848623953",
                "267831938744049985111099734061472123351",
                "175152989566242433941538636853037937700",
                "338814099261247581849147245733697952631",
                "82802389490946870283321412882486126365",
                "115993417799802524310592356530495308832",
                "42332708420249661173880614873794687388",
                "111752562617634882745727502364857819465",
                "157284073214681993688651507493307416233",
                "125177621078805456944608475683168977314",
                "224627204231597298486608417637026991063",
                "317888606644799774767281702901980674807",
                "126974089910349997760987803343664688915",
                "228655786469423643194060850177795788264",
                "69860218622660855083435000778171298779",
                "185292996049787811117008733021344150552",
                "62769550335592643416678834726443805990",
                "266316097282549732430934126418628489306",
                "218707868670103861953965489750339272745",
                "211454050254015902991655733410044126699",
                "93933336885567900060815224182979765250",
                "328192918442600226692184481969991782988",
                "33612804620515091078833267104772334173",
                "306604079275079656257149184005133312588",
                "196928687250561922373855175647698139323",
                "321985691425276729539410735927647989216",
                "324254631495783757955421400430434678279",
                "238519154006719136347732545409024622098",
                "261415099880623335419116998338668098314",
                "170199964144194935105434498630684558060",
                "178458130573376854692248727156415174250",
                "140464332307638634797698984254034936299",
                "260901754156459096893534085756391320106",
                "201070821267586811789683834723057121996",
                "104472254628231136793611592345361485132",
                "257188540102689227897668438206549308236",
                "24896554902349601606368160816617585827",
                "191404650641835707493717859964812583242",
                "75332505098195846885826519311905169319",
                "39480673467688180343127907145787961018",
                "136111909608298503848690975382946331058",
                "115559728979305485741012739478646294877",
                "59636666330853203611150155439833678639",
                "52025104209571064177063441730275332282",
                "118910143222323564895363332947311645836",
                "95298627971257369714222762257149309567",
                "96659982691643738199157954818714741753",
                "189415747508861404502757735778098994289",
                "31959562856936080037928787257323987702",
                "21956252128345379236240998759858046981",
                "56630354365059254623438405027399909645",
                "160724818206206675265426006701748746362",
                "55397461418729509201272173499167787805",
                "66768357805610764584691613398952115291",
                "257095643426312727601443884386438292753",
                "93601078653018669970808621061934982890",
                "2743439240742483337006600942491393315",
                "51491392693723690020306339047304987247",
                "191937743389422330438452281237941886554",
                "105778936980059031014442229458027071159",
                "146912123816302038244358025936944834766",
                "316795443302430011983504817264503348957",
                "186129472526915058883100210587823673837",
                "267981841321793674739030660193853811737",
                "111252165010919207718068970728191687293",
                "186153299374520189130523368614292999517",
                "183585389916830228090377327169866104442",
                "254003197541509806251781611960476785162",
                "106819172238220815262032793374156667240",
                "286140943359686898619342900209463594655",
                "25323565758626523003224195527536305474",
                "328037738605198357833873690639175512454",
                "41203389275996175201397227270156002378",
                "218011500975155412027011705061864723719",
                "223447961197808366651884196569638608842",
                "248738278062709964573501473136502608726",
                "110057515323547177590348627408355247519",
                "311247818301187981157517993038408696175",
                "292746821671235504356237016416070827997",
                "55487220347186626605989188502720347823",
                "239395466325209639785476725210706647907",
                "198442999662447506991022490206986446090",
                "199241788860483747079881277232595074325",
                "230125578861200785718062777391747745926",
                "119880631320835511360952789434930571672",
                "319784226237517543116258813443391931358",
                "327280460627711993734608902909579761588",
                "220027528510507800891415377776694414460",
                "58558686318183359978398439279148284827",
                "34242792674868516028150092483371424631",
                "175964036942498145333622082706029933626",
                "44183494759545925609784002644489075014",
                "135672447183298750408337050627966205819",
                "242745925081529352023095978064603469077",
                "32966708334825668528918142601588686617",
                "134048608710019247865044202950332856938",
                "246532507027817690127296447555361116444",
                "158973511421484610392020049328524898961",
                "226966653551142238920115307302680139045",
                "302876312422731204557795916262307577983",
                "243044509827308094130070041294276915263",
                "322692064997206734012167551671615436177",
                "332635498914692038955897835717400989928",
                "135139799997440170282234675956484270944",
                "256966216013226316109935710243892751045",
                "203755470024456587664721643135406843454",
                "42745137144196790341282551411015917643",
                "97750508001645965146645108843342139591",
                "113669055393077135313609658604085381590",
                "100548069147119363365469008125163623291",
                "216920357430683061911643881016603646387",
                "46188680901364412702961604884801062317",
                "68242991207461985035533482703847399705",
                "33599766297570561332786316967645748820",
                "35336453435214516485225942615545207735",
                "282245846784837175392477598676314306763",
                "261058063713372668543831019177032505651",
                "193120019632869459786112790597630057280",
                "146414411188323220428079191161733358560",
                "118275010862279670702060380962155815091",
                "305542018892803034895588818310576913451",
                "106334730750456107428139827341548498079",
                "156217203099012001226321822672823541079",
                "65523693038326665287246423636678026307",
                "314430983250789956309221139347959958981",
                "229988078382284771461225285970581466083",
                "205436338331592907564248703620652624976",
                "217096496869283722317724090293948690717",
                "78773301408587511427494688962051818328",
                "237784042887836551020261748861572332967",
                "226141665677327700576196457399387248614",
                "302352082844532011623079470349839765078",
                "83649662541165268767861922887068643751",
                "272796878123333404409952531009967500338",
                "72818694092452262478283405077364936756",
                "83837721455134275872540957592389204215",
                "163529846485852384693466523464607630545",
                "333886446773968991684258485199330443490",
                "327637204776284308859711062661200256325",
                "224921128130684722238916338606909773788",
                "61333160845867591853668711537632349194",
                "298644248412737140432080377736958102763",
                "66999159637749902982576373026418159457",
                "60195238780273780629312098481041213738",
                "136718795570999769872018512366173585686",
                "17537499212651311159277757616881723403",
                "169451501751563109423537310950350520517",
                "134954277015052556789648704371306146856",
                "116411133317967619433629047851631009167",
                "265201396067058955993009595920604829649",
                "211370138964697233092544131645201396899",
                "55156137029979880044355697879699200022",
                "60125010245439971432643145230312480919",
                "243998967346419333155443237247340956221",
                "74274429206766513398295385883504306038",
                "318833272894177163549350483948608989492",
                "321857768503454396435418169973158473942",
                "263520694002089247643435221567040417088",
                "82967939155504353235498628189176330905",
                "307893503417550420899934343524457022119",
                "331969570421082296306751338830136414489",
                "164501008564716684236115468874922289155",
                "8508254741904783200321270093610143824",
                "259129645712580329982818665420630658190",
                "138916935132919540489323115910753781246",
                "265031767081940679418169715585547332516",
                "278676488729541885863977020604115551586",
                "125932366355924862775087127595858880354",
                "36101317482598869346881964045231183396",
                "31886492142540812357810972339488586583",
                "60250508349175176698854694316098253522",
                "90549343910808440583852640855556362779",
                "269636008976371583676704661097891222524",
                "317397720087713442630660677696771991671",
                "92325074786716865145816016411156542505",
                "102141156019377062064422465113864518967",
                "52128239160427109768445291564149307063",
                "37804116865871267870535507330841974237",
                "171166212938899168937750377857174390827",
                "68182256383028667706348395863064346802",
                "97924724858677983970124649802668798342",
                "104092425098497537431396627443251226458",
                "299602176285564920107463618456178791777",
                "289624993032676804188828348529784589680",
                "302424525843237366710915535614574164752",
                "232896633825676670375341765616194447430",
                "281544568490951363794605669631883245065",
                "261328231991661922035374331361915271947",
                "131322438639275491282369355819263473897",
                "202685740519521464275442601742325274219",
                "333379536696141052374383294284004364845",
                "287442415846645893492462268602856640986",
                "54554404835307406850260656182374681797",
                "100051469840702586701136833408354232936",
                "139829836684505743795040946756289565826",
                "322641930115666259059306400764946246120",
                "331261701762139122224721458525722407429",
                "212289064018253114943168463755811081435",
                "103049740146222145255390535165056682905",
                "218997708549465738439665305442436929068",
                "188154252820110016828122881965433701707",
                "187057775840152993460340786279942466135",
                "203599898894430651478264033645288894779",
                "212312082854828993448511893104700053925",
                "11307759234510156446691026950908910410",
                "73467133468321009634901272208409258538",
                "85173447796835084827679117726501731101",
                "201453178502047158900164162380014858357",
                "210411842443318491096463677492804570279",
                "300127548122396867777549351886972071118",
                "60238667262206066178678921063026666917",
                "301018278939590581473983391483014372244",
                "296575470412946527493411278102064675859",
                "19631073208201089212231476737864165298",
                "18965511192930462333552938395961216288",
                "14196442427723274485157041267538751856",
                "54090816606333780047814242398621404223",
                "332990374903544820979921991898103116535",
                "228446752763464360439070464829463493590",
                "334759373490090816554927895619132567502",
                "200176469130328633189492228724151628208",
                "76892778314788444710651653390871254168",
                "158322865626436824305327363373704257177",
                "105885318898398706485665220883295958079",
                "334640456250052306141714372967160693675",
                "134048672924305178262283118049116770297",
                "179354432143253888317031165769423909146",
                "280063745830557540479399903983009478804",
                "194140287824532394084875690356728275036",
                "104886235486588693361228964638857765521",
                "132477478511418873432175127049191739144",
                "251719367803596857479090346132815880852",
                "210105456129508488332652450937993453463",
                "109900647042317700547154120919565827323",
                "49014517681574639886643600571880501038",
                "55111357380152476823022435643692842286",
                "6400972234708217335920086074427355077",
                "154024471037190097172963997174380647522",
                "48360597782091312540717156001332287821",
                "298157356521588811314979039275549797040",
                "233833147517414182452260927338160970711",
                "222431342137071284171317069555687174631",
                "127563928860862767376515698693863105309",
                "53505080990462759923929509604091683651",
                "77460706385453548916551996973882872305",
                "104775177934015068733846082538712676668",
                "149035160392498752677835805541864552785",
                "3299064506813287924578650054027849436",
                "283114276591229346116219005508668767484",
                "142089963537055674833148942529166039143",
                "294382508383526683546891272481078919895",
                "38739121911121527056374120774703365956",
                "30031966280516915819842026518233786750",
                "305794062563343436363767779194992632200",
                "115955135675230820639784646011003910718",
                "314036576529499668930691981303878004865",
                "210849322379511113378156448104987303559",
                "174747550287568337690173122674568772097",
                "122064586287259294806977037976097027771",
                "106609283984852605486445294181869056354",
                "23936415515688805595723982955607810853",
                "172521750186868496414015283035227917196",
                "141648268091377516751019042842723920851",
                "85518788490412401871877836735280930246",
                "224246208421279947435220549185630725990",
                "205446788264809657708394754608127228946",
                "114086707679588746500454856668914597132",
                "105469392019391116304942527255684130427",
                "287500465337441576593448780700010218445",
                "43117127097872256229475214544673152363",
                "203677441740960209668231110586086860581",
                "163830286684150359731160005178893403979",
                "109905865657753829018649508393279814896",
                "56074901170929461655829248040336765674",
                "131669661057496587111061335662925797794",
                "225760435768765870695656857805514418336",
                "186496484693923193533606554344967967154",
                "20687902114106619939475433577112613791",
                "191307876982313264094104116579067134311",
                "263807941005804698440434854302169379838",
                "179148108243043924265120009032189689785",
                "151327543026172702464229348261791187250",
                "55394225377001675256220786294905160799",
                "310951688500384357834168388987093593800",
                "303768080260983114124380285728887533542",
                "198771587968806468586208142343671338450",
                "238624522210319573213338404402747944715",
                "314791775645406481371835747221643472943",
                "331005564863321105425938115544288695305",
                "224190057984510925945314999411781242985",
                "203781120796346895350746989697529629722",
                "292807830615067570464239556655190134443",
                "180851541375299637070026314201140129304",
                "40928167102805115690150741561382107347",
                "219198805394501661712803380140119710062",
                "222950763477598107544080561105995472570",
                "290154147669477764708927637396456587179",
                "165334722469820088327081139267871166682",
                "142634813282907643692004790873108681141",
                "290057911491232486189591994790449038358",
                "301032379224751354964243392974878791611",
                "86941127143574585042120089238879729588",
                "44022563814607679063783810726175887560",
                "260451016049339193369040967550647632340",
                "113380124298906589453050342326945683191",
                "333738957336929162867674003721496439004",
                "243666069472875593575298947840897192531",
                "59176071570924790157241104834750602925",
                "157607580819341883740407697170449687475",
                "29985794875670212681705054756975868267",
                "115156152713975945962863046974646844680",
                "319643743040357877837025768830234969109",
                "249764636505412283698022578028597199802",
                "152824038186096242351903822725495679974",
                "253866911079086048749893849822006814139",
                "86424102933051203473398836845543894296",
                "162356806133304414951182637827981993245",
                "162205230674575274208749212123686613396",
                "263097663811615466984121603886201778725",
                "218986354860701755190382707530552581687",
                "199675301343833559612983481185113705066",
                "243904499614075772265489308590487844301",
                "45497338989824697487010273881309370568",
                "311516859597428548681601515993669011680",
                "39812925570708048880547199884074667842",
                "61946964006544642129033062008830242954",
                "97296291025411214597569247489950682812",
                "142391405372190373360061703357854278594",
                "292202563889254346137835005872954029104",
                "194970325806688471740005638138952641235",
                "95806967433990232720831402868735005087",
                "281368063719799806857960847614904843745",
                "276328039262201299690883149733890321692",
                "317142069171577779885803809653815719284",
                "264388577163454628625718908327205582017",
                "250817624696046914200263773663311814935",
                "183054747594339464747190866542097411826",
                "298039212323581827419486441631230774691",
                "90446540880091342359884975723509713912",
                "303472293946615396531584133520273019146",
                "52529781728926464583804052055817727559",
                "176430517634277497998297611547802122701",
                "60421930534563531587586445413950142807",
                "340030106448904155776548388883797498357",
                "87664547267263287500875152283919589168",
                "290292909952636175016227308450458768996",
                "145161703281637933415496106130679981897",
                "112930375753768046627248940054490665158",
                "257239542115907640012368493921915366995",
                "232326345548064515201348501238249499200",
                "232462540013728201181289884780565867130",
                "25391405282632941818709493276254511562",
                "113776282587221997441249993224103372674",
                "283102130379287666871079419828333536325",
                "186261901729968708892807354681988801507",
                "99326864922567303884989066176705651124",
                "129333195312351559508745937998918618674",
                "151229112934292567358243354301007472383",
                "310775498986412555846096975309344056058",
                "152476552367001424287166645673461939453",
                "102263406334156689643388320951092403458",
                "252407417630283598788419256380803426159",
                "213569152916526247206664714921478502012",
                "138818231179680052266439196196286237344",
                "163825972716040987022302201273835430276",
                "317908119590419740384533149300087630244",
                "103659625291284331043906443454558127460",
                "133998989555766610473093077556808405273",
                "72970824746636751862899592985583889242",
                "153681018511567268712360259320204851919",
                "23505329177517265013995045618736345352",
                "28724343873746652291766467906558027726",
                "78999182286824805281193199297280429825",
                "32737926798385914226793357195337722590",
                "215600424813257057853625149636158205981",
                "289191913081646807613530846374701418416",
                "181070341249623344301824406631689562299",
                "920805439162038899490366973164305519",
                "297775855697541308485220648926349209116",
                "94835779690640225329193570123155920466",
                "214801344349318309470754592777322787225",
                "157770132465252989561371824033194991204",
                "63938812536172801090494080402187049681",
                "239043874302641294178560434439710113524",
                "208322486117865134820657390844190393125",
                "236222479295068932247040823913548517794",
                "107876934316743309478039042702557617525",
                "218839012969278913407587448372490386974",
                "234067632380905688563372413431609104466",
                "333197376774406741991570514295617683200",
                "112545042166186611960932873407221230733",
                "244835664946457701245251020507586590547",
                "191785684871619065895684348663542927766",
                "10610759787427393812034494215153761962",
                "266277836209884862558986632677847184942",
                "20362393756929872024168728860453485915",
                "153258411544385712338288877951031378072",
                "181883026016995307372412512758645655837",
                "198956339367222910561667684322312778438",
                "132223889769435804104273053456002042507",
                "248759816952173922590239108583674634962",
                "116517689615102378118673586938119633227",
                "172762602165757716264888978191187061217",
                "247339513954002673158367559542710936883",
                "246440878853058696730978361773625019148",
                "214010803707567575421304323888422611856",
                "308785883424809199993959359494603121954",
                "323703295025148147975288481242167493757",
                "89565942387400538400122703929865011071",
                "176311039432146614541386793003776537538",
                "25013564060265360447727084320582189168",
                "219251065741868508688432336278023911465",
                "78984713010911514203731490671874656687",
                "46082469405725187741153199662285197640",
                "311453760683420835907005623656867569352",
                "269953573828258684856434414184488888465",
                "177644020052676777343723226182284938559",
                "90800018896031975219665875929437653812",
                "48738591357956380571453890392990674201",
                "124077805400567209795963371111413320436",
                "18085064724561044860054024163739556779",
                "18299428409482386641736848923240868540",
                "100402296855934772498049147765405902396",
                "293312184764846871408553621071491320616",
                "162423397777814877054164368230775802003",
                "88851383024064745763363812114720651031",
                "294642313785148637743318025185385307632",
                "57767607023849818056456814121653212593",
                "2834282964268893991295042962351597338",
                "319102217226525832711931364301510789518",
                "187582107652170110870232786671294186203",
                "299528689143049838983897365705842952080",
                "338440839374217710893273809106195661320",
                "899773039943987503978817866375842759",
                "191769441041895858367559760574423573326",
                "162065473217023997858741058901186012202",
                "212540723831849919681159578968990540475",
                "273809374731442656953201861848351191071",
                "290232194484238499930861361118517318021",
                "122656823220813214865997215393142983287",
                "318824999920697474847881325485099565427",
                "245961937515997058969525492569815909785",
                "79360917705852672239230267559554198765",
                "258191780083321650167070165435045571481",
                "79215554875279447576619730840275686586",
                "289198721610842412232351607999097524587",
                "148003389092092128470571331934631327225",
                "201829450286777108007784248692523002943",
                "311678121252117050077316581023741474246",
                "171456222292691583072215370792479495484",
                "133803691866837920607680526487380961954",
                "130773713426892887385485526238266678534",
                "19873277714380962460486833650857341907",
                "57651259322402157981180348136564093610",
                "183103791950988324096696827351615043724",
                "299610000526166414729655448314448623934",
                "130410845390295176749173010254085426857",
                "281726251594292328400946864748774710574",
                "259577637981133023399785831423327777173",
                "65647689248228599332843544908198703474",
                "86467074831768105167253498310044668955",
                "71952108517495929437665001726608070585",
                "318123163758490262090632306266503345180",
                "198839339685678679320652972211689724414",
                "66324040366560516061605740173182475832",
                "216025475024380051757004030539263948476",
                "102713361754109445238178804943020259295",
                "206246871133824589688163549040528648143",
                "237180270815761496923556339686002084905",
                "207659444959813337288934222544305478894",
                "247377038530423593284816572865221299578",
                "73029609854483962939503742466497877189",
                "333852950809208898344264775301911718253",
                "149338483037346284670389930775781600093",
                "233033815878621831308762323621706948034",
                "306754083314603598125731702643108193520",
                "109614551910638055727523312038717468629",
                "193756002209141544923119705760318482376",
                "169197003698003458368347963193391528839",
                "28025967504877803572754400748714143829",
                "29708703098381950482652006625417414929",
                "266148385301206028025308502559392406448",
                "288506110087396677883999778370732026355",
                "9954728282538091490755593745373212367",
                "302221842366852146404981699186887358933",
                "91024150010615430920603503431738122102",
                "214474100817859144597301305477765984531",
                "24543808468111809468628736152770874931",
                "25831455019815903071223383202748723918",
                "159266817851636375475856182498419701345",
                "164857400199154802964894791449338292636",
                "287242245129624566113886193501040769946",
                "207061293827549908551453472651701489835",
                "198669942748527627417197021552319378379",
                "152775196242121433967944472541093252338",
                "126303724377397085882767369174265234854",
                "2476966950224243599793412288797621672",
                "111464068103332423422116220877352332379",
                "276563017645486334528549178279294009317",
                "316655703259115397859899931416420569749",
                "5091430760831335268147878365579002933",
                "7302277015558416663277662986925608880",
                "60936583265088287985990757304685393343",
                "160052493474788702968712171563537300053",
                "231331829655981530424532471127559980109",
                "66784934826327556168739239109667560918",
                "19588769906590506221608012413905079630",
                "198990407877385327427989110730161851531",
                "250759028046701954577693885853590858499",
                "277050246197366197290403617410302337122",
                "10717830692771220956609843667528278658",
                "127296750629588373222124410772516166488",
                "184773220567484080151541493273830227597",
                "238702317021702531888575885125795891831",
                "25339498650198939655466687590480643326",
                "51814804507304239214095821315440656484",
                "284593460641798481040662465045800359812",
                "188070994706841272100897899853168286053",
                "50335941370688050915742274706967345417",
                "107199467696474626215604959362759383893",
                "280280381540907855227118190099194666193",
                "188387677110567947664813014276771584570",
                "56400866580250498919621404613181702737",
                "20603216094110779677834444371711097326",
                "298175125294407539925961123377145682200",
                "212948353681396380479666303101855582824",
                "118776565086648160300421955829718404081",
                "59234873802335050127158425031261082335",
                "209933644660296868908153467772809326695",
                "48367029575140812427596710473691367899",
                "48996513202437276732215324546946764156",
                "227923556462004176045845123524287638964",
                "186727799137233315351548164252774155685",
                "210063848194686366160003017292307302619",
                "226665062506828204213473276562217814387",
                "332947893215371092655976090701633500398",
                "195546539727979992130255332336613394933",
                "10238630169811783238635675227638289532",
                "211386258025205810159561490473422882351",
                "119690737286339423144383938758831975429",
                "330615120350477717915656393990611631397",
                "229465639346546004400304871116828398913",
                "235598285130185238994602395866541776990",
                "338015597618246296180350893842874132547",
                "317818000306996897263010172709978460613",
                "254273863485116645164776655706699160769",
                "225932343794862366671212323652791010067",
                "332844772627986124839170393573315304093",
                "112537342450797519635090034557937481296",
                "116716739335067867620502643612073885717",
                "126807901729493818870440862598342400260",
                "145203725958291615904165390904500255292",
                "96797406766834097378573625454259986371",
                "18584459200590161432010294639447571575",
                "33917844124084121203264940052250294876",
                "255195113842453289139492174749396362117",
                "39201747173743505465691798846616773147",
                "180061579416457651374749618037669922345",
                "203661980169896529962520448882726222634",
                "45905410331061739721263875015717093628",
                "152146187885766808405877204177655032257",
                "147584149874592943329965394364063347869",
                "256574494622342832638405006701238130150",
                "205404395256830713391252038185022857131",
                "207431074047551759046821586092509543988",
                "289374036878893543685370348583682498097",
                "145309860566417950571071550616829646599",
                "167170670236653629013595389623293731820",
                "276929702343408915006845841331922264965",
                "112276813278651001986914812664466515443",
                "172142458998668290702995027282178900138",
                "75508775235037058935359200772051140243",
                "184260000771842954681282296016223379588",
                "129416228197236738200611236723455613886",
                "235476131565951709953923733414275022975",
                "332012526288714759323728503651739616343",
                "196708281310769759933090446615098874670",
                "68470966140294403514585681185261434079",
                "113514020035783109429646693046676612740",
                "98742201271731568189303967972244296188",
                "196933662090831547875104283087673856408",
                "196680354479403131580023908841200645164",
                "178993125102955305507465360580751097706",
                "109619400004865758811283756998750043517",
                "45630384763882106591907478664431877626",
                "3251996590574759399891850404074481639",
                "96096891081117883479122148306415237579",
                "294651550913586772471328501640006137523",
                "48131262204993207509730277319552646214",
                "304253920876068228334524797675463128769",
                "139801783281837204661188662671935932724",
                "202803960582792332150652652880920057341",
                "317226374465615897299389574527101012975",
                "315540421111705126079123261877100815082",
                "293422704655867152207539037822182207333",
                "173692038105235330364330275107359605323",
                "141140440490754449578083574442264519399",
                "161173425656385045620361560592492649416",
                "10866438865152185349647268212105882257",
                "149175702887785251990069008584524620953",
                "286517372349396619442602650176641561866",
                "298368530609120830592644738581401197778",
                "281033065955078201922854547087938671186",
                "35687638014929039055573368515833833230",
                "117314805684320226153110810224251639496",
                "81444664587351442617465832800163657225",
                "178445458325070618860352856427390707438",
                "47533387052074735688451611176356276913",
                "315050594965202505151851846577872233640",
                "193580628921175590791682460505107822706",
                "133782589840880936588104109529217870926",
                "186151081441701096392082506115589408786",
                "103251843685797581455163962874047350477",
                "166271914648644437311033431296107942490",
                "160853790754658023740370161479633504035",
                "104930695607342432177470046303734846106",
                "6122900273807937762389377087229273290",
                "97940206315629090559893747295107638149",
                "107941941165339881919493570622192999133",
                "39591951794581655972428672859485869047",
                "180877891159564849044294637586004062448",
                "111302780418333680386644291142444589894",
                "336907594130951487414694183104789860898",
                "304117333558358409711920950131375306793",
                "104153247991594125772041789677013437843",
                "321731535128673561482317144401463877109",
                "283392120668529937811173909695644846832",
                "305222293752956794928940955548321862261",
                "327162197649415544262110475668712443596",
                "226192785401241078274252458043686709095",
                "234751129449429129073347061948741764947",
                "284305902509515294533581919269279873142",
                "47987559393270961632710545124029975646",
                "333432570245298382338668936365127407625",
                "124321154812982962626437533146007373832",
                "259104226251558706700410935688735139599",
                "117054768317052709408011144142350473719",
                "135262861997552270212575055617474865750",
                "237185755132999935906812068326441077810",
                "52331713828731974417928120396200231282",
                "20110766448234017475851022636501983694",
                "312617523224771857397850984502913273628",
                "237288365906771423522041241381621104401",
                "319521419140069340602358039379325152017",
                "77755561905908032976111002201216200737",
                "256681923967998222008174692680727657043",
                "279735209675150168607968786654302071057",
                "287477021462921010422715023452606048553",
                "11127271077845154080720107960524064093",
                "306619607053388895424419042619173768601",
                "214924356947571602465267264213787211023",
                "90207524554659033753823139458049271981",
                "191078886403051600116236969355109217963",
                "24060391936745269837290938587908086965",
                "172335542812665151034486524217636553795",
                "307954175520988012903823326430478940316",
                "57091391544925773101180606193407488119",
                "293067784298543689063593344260805969077",
                "327992691867117989124436390249489900363",
                "115522567947272942995635409988422973794",
                "69342341849949387431163591761516754746",
                "197123881687671810498348908269161229551",
                "146064987018529124277520181563836234008",
                "209838811288509178683906706705854130893",
                "124635592911201973252285077326675004181",
                "194375535010213683838747036061304205268",
                "76237344212434084154312691133501345234",
                "234490671816726800332822390633010738061",
                "101084844140257746762841564674865989476",
                "115825274760658094877785437945562235460",
                "234059928561851152367899210533995754823",
                "194532063568679850102366948842660657388",
                "254930269848817458894638163592914389718",
                "198941726052440475598624484793216944448",
                "140187940355770402007576300065248790695",
                "333122510220052092290426287406540783265",
                "202634060829411884822041705995678848716",
                "290173526520734612884744907615240316055",
                "288543505976143259908765954293898255387",
                "167016747840935417878545703721418787995",
                "86580324994092209724056658115363153662",
                "202560281684118776413921921943728447264",
                "211720635441367349581867914777394263845",
                "248181975254555942894232589952054131854",
                "305834084579051321679193684977181159672",
                "71415601402924394654029861371153361868",
                "249052403684312357989973789783118333125",
                "33048793925443976177697290939567376918",
                "321863087196049729087672908754597424811",
                "55778350845041841816018011904247899707",
                "17895375851651011153689633405432214758",
                "131752493658598733381263206305419617659",
                "153731587112653235714144580307415320987",
                "238103595451657502751532864786127270785",
                "9115145552611423331726562997956179933",
                "178847998047138993081698448315156850252",
                "237596152757012363897309617146408077879",
                "148453967980558373559744456230258690831",
                "156193780590696169490977643776908249835",
                "334601670822010828180725921267028105332",
                "43789167118663098783781774702681499884",
                "320947232749567874616568827304608622180",
                "31686721653954682835135698806340692961",
                "288102901007915289413038118050408312154",
                "41520426826567529015494687026627024660",
                "248257581772587827171525049836230495711",
                "336844258897709690591965472874756121664",
                "324625888690254273180216016809933898842",
                "73555239873164813588705298649632985279",
                "312567084737674775697332228159102474564",
                "162565993074090042904765313246996450908",
                "55041590799302166016768470678679894019",
                "41286743407453131527416345107156040150",
                "6508711687476043110737489220318989054",
                "18080991951307620411799262589774869628",
                "90881750094304737119989959820845155131",
                "327749720508600060353569841708803274893",
                "10226483601687979701119836374310516151",
                "201339085564369826683065461370804719313",
                "325158264051063073019681052909694064735",
                "279222336958072845634384608893811718826",
                "32648329356899251200839354012014155412",
                "298344501052217925397941555433085046164",
                "171697338701533326253969393550472995583",
                "8742515426021899381918492341773006793",
                "198345699063081600059412197846412692637",
                "37775980684924725638522777370113600830",
                "34903958758780435266150398887680288239",
                "328276566109207206919372060929472995727",
                "326782374697284578396092681888179292731",
                "39199783333120465125163813402596558512",
                "239292367214875157916125725728245995572",
                "29369757541215651362697458628694518704",
                "257008376712119530087245349962019401356",
                "311012546533657857337213741973986660678",
                "88897388964693130298801229492153564739",
                "227119994374097810399317397105410054646",
                "44384054514143750078027803847849361177",
                "177107701020995671036027493263853484603",
                "229071740919541875081162905759695280123",
                "170776647681721689182804558136458152492",
                "189872077791571313985865501439984421053",
                "142640550065069567182503272452187950819",
                "252797660137003297867475252761444076655",
                "95576215357217482007197415721954767665",
                "331341968403480810525786764639796781993",
                "288834549761888673020003851413289504759",
                "105216351151458378830789729669141496540",
                "55410010882120383014247305137114258948",
                "231547896559190064267569816952285436814",
                "108575610773043035381384410524743585868",
                "217512347187280552811122706528236662056",
                "193565533581654961714172620660404442274",
                "231490633961466397919959442574446066393",
                "181056934239801263939879168003613341263",
                "324116852935058656497632429345804826270",
                "181823021269336099311523732902097169926",
                "117055953622028677128372405625160257498",
                "265568710641913276021552864046848719343",
                "51177720068859953367718111577567929157",
                "325834330155117546156076509060943954722",
                "168424834910709360294932039676132385671",
                "62931108061088683022381140921226759575",
                "105897625688973077820077022190718260825",
                "108099994791459770233015121572045427478",
                "89425737588498946966222398865555023454",
                "307765091202586563078716959658716527442",
                "249939846853546102820178416004247540869",
                "284533814196194154411082850072173357372",
                "321291160871073703085758650284927019154",
                "193062439374707257937827338759257115913",
                "28738230488766636110409452877816833076",
                "774019298577165622127920036305637161",
                "165010064882344693989058260145617776701",
                "143645904062522146213244316516927121722",
                "207311521064444689826343517754102631248",
                "76428660169848967428324348086580858017",
                "133489460515738493911025346351900694222",
                "250858719435531531962629949711594020137",
                "153133396338880186928647164973159431853",
                "201757200343341263554659335772736834976",
                "209227098691974193416775684057890906757",
                "319190390284957158099574177491036063970",
                "185211516558062883621093023170124471701",
                "95418103013819620605240790361192722371",
                "325826247547707281964233268858621966760",
                "52328795064102867376802286890742643332",
                "160854458626155965270154389223132009893",
                "80283861977654664820303627782933184017",
                "275481516050539147636101811251891779298",
                "272247593368437570404993739212847141941",
                "238958717598891917507187283910874987764",
                "104729066338786294057268053455288767397",
                "218524195958973316218994453152385753927",
                "301356730065682371042814142530197374212",
                "132067294015804876817722911450332631357",
                "52106564611462591217511977891610349550",
                "18185241932810442473382643926648485322",
                "103273848133173862598241505975302650907",
                "167178987920442864319442311830522560041",
                "283097283091984891514643486214619584179",
                "210464858765566077973092893099306759994",
                "72795038738636043361464520956800116974",
                "93904934439859273046459571967659811791",
                "136911546847146984406018223535027542263",
                "59344705417247823013905790069886142478",
                "119960837307003246313204222331120810887",
                "290928853450047395566508776350728446970",
                "221176110479245125582982381861890894203",
                "75839376867010902581449905301535689316",
                "312061235459792444623157946455053776725",
                "184006419845355788398887378324771355443",
                "327114654457971553680510349701024820307",
                "208280997669289477148370824874300319205",
                "338091207569849324069687478497426075899",
                "10530178953040177400546880158932297515",
                "48501676336692187929557233093969001039",
                "230242716793859845751595878893400412580",
                "304671682009128029930408043929734298645",
                "318583535599221888455257823237535560473",
                "241917009815161106627468963877720116769",
                "186490079960632874172904483955152474586",
                "252486920500628401317016437447105063446",
                "185549933105760083895494661577130293565",
                "62117082733603594179467417472300338327",
                "256176806877831543928150983840045601912",
                "161706668986208473618577356602766083607",
                "139188829639752933467019780635453082803",
                "31422588622993782462521495289697459406",
                "4815586733913736180127409368522668093",
                "155319559297583830075012198605390417832",
                "11605019889294069953265454665551997619",
                "76499314200428788673911810077626180341",
                "318892974209066748710463087966648690857",
                "287960825307749031704155378799150040101",
                "325799664594700691714730929170772268140",
                "311508830288725468796524097552789924520",
                "251969201796836779077154534879218836505",
                "150933651586652290232145897680661255744",
                "89535700729071264451709881266413788744",
                "305829046694689106348914474533340212403",
                "154545181724098887166611492319847036568",
                "291357331011923063555672401650752276341",
                "339474445260772470959306756871705573190",
                "254524176714986419145656263028070635028",
                "248168687248617563288697187915054728157",
                "279934851360741098698743993578072845707",
                "224680860011966509612628417550424875769",
                "49169650271891864815133985197044625224",
                "192530954160692402245910936268728306219",
                "289425804564486091010944631021815225512",
                "253656288917377871598124636002120451744",
                "256468024448017046296653914749394007909",
                "144870975328983023782915212806448146161",
                "127378251573066687885132112799040293917",
                "94520876513813956157503054209587980190",
                "275143540745883757678896204379471044421",
                "114343769649953724809607682026115175658",
                "315954880726289534215811198360195974457",
                "40591174208240509952746230219449235451",
                "178419985014562928152639682204408418900",
                "29822652389342828252281135904868885000",
                "104543049678148659546389807990540755219",
                "333102213528873679554363819787031480118",
                "111218807277757296474992426297435609022",
                "92993544315540442991961259483044318098",
                "87201749167508005807045716986342232458",
                "132727480784592636228047800841691585974",
                "254702370861962023223592066305025246077",
                "86371887671464555954719415476334956705",
                "183105157761275520861974908022438823148",
                "24596061164820126144056772759542446371",
                "49971055895238992505781066403262820077",
                "143156880832189317050192495582440320901",
                "135707625130115506012628740917472462296",
                "321537869227536175926230625913284049924",
                "19658519260313408278038291129519833118",
                "295514068914277337428707343400486321527",
                "314962446379810241983099905977328794301",
                "48065088109624189946245435750585056750",
                "322155287138298443296071165229864361202",
                "258697373535580007640233231425087963998",
                "266931907470011489728258833365864963109",
                "124886124471687120355316194410100853208",
                "7361621998995661270814098887056689063",
                "254966353160152636218831613564596466111",
                "6721796637527323295353466453497067978",
                "310191987454837964607535842240442760563",
                "313797133636198639322826435068342903286",
                "321040756886148910735211488822777147386",
                "169931146086381501510141470936342845459",
                "246780821943033298614041201943329838497",
                "293030491238999830381536689823075303273",
                "207754800742671119172963652216053043443",
                "166852196640239340715072175085380235319",
                "163128761668273185421405396684710710571",
                "296262349111715428882516491837810105553",
                "10168669194537861882736406813235472318",
                "28468933556347306014788628544540660148",
                "82963751282222543384972696217598888871",
                "199549558195415270021064685083356377227",
                "125145550394495517448387200006752113410",
                "8325885374973749215892040307865064114",
                "225857136154055529938279687413121331013",
                "192289818958514171419684425552405556463",
                "85354494348293485598081179689220870223",
                "315160266925111281917121461265623983784",
                "322357659896201474752644108362893306835",
                "21977503076130316738242260856517834911",
                "194881352382818855373217856510928639242",
                "205316225230716533880360576939888895648",
                "240723223901476196560602771702076400856",
                "251158101354178338833488883392908326613",
                "274599424047969669424347690164766113022",
                "333770357321610602996238000076402371839",
                "167964804744951904803768828937935602365",
                "194445177007821392769910033949400452277",
                "59621490559655098667770072550312859284",
                "299628582170866673727786599133083504988",
                "207922030476032688404275280012239020954",
                "258292255280552285449081698668487686086",
                "286140792766385326972256362000974397108",
                "311011959443389995596629697449039517770",
                "261436188340481687864811172055933037161",
                "121999366190077306859036655401208653542",
                "86930050259311374290615754894340173596",
                "123631602342995907042991078544485443183",
                "73743671693169801606170497385944620759",
                "322011177112695625803788631648258585516",
                "46885658259891521431068406001765950911",
                "222518421332940038219213982307988821101",
                "184276639062935623154112438245108640988",
                "57779393237509590641679986656426055750",
                "316342878705894633077304842042737831534",
                "257746255283490203786305785283995522183",
                "11897982313767163510562141053181778235",
                "79569019280511390889687234728391843436",
                "214820751561601831758823791821629683295",
                "191269041141843881653477402798818017283",
                "245387576274572012880237976563284325873",
                "194188428447081943683894939164876464207",
                "167088016902336762677236043333786984510",
                "11688589809867081126198610378448718741",
                "201535555814115325876076288607558043679",
                "185108144612004248821134541944553286303",
                "262827149964572724934892333794382155291",
                "10399246482237754562504105910242110672",
                "46043054648279896555454353629733751045",
                "2519729409974821542797932825158003194",
                "307473087276377724907300949247272673238",
                "73269914042336118388250503704663826057",
                "321003709915025876988095987258998374033",
                "39134266319977108482142837019694186210",
                "181562029479628227590317906001663883816",
                "57555298900584316028236522736831245145",
                "32262292274483335240426819420338523953",
                "8336447304437275857464487975259465760",
                "226516653539172000077712468613026637098",
                "47442887421576875459860521077147560379",
                "168537688464194599934042169117249762650",
                "44048724242215643841482396372367936572",
                "21707291482097888387501941699551366449",
                "305914611181215620476163529461545206047",
                "331043836162288420045990735796652606204",
                "285418241737045521410596788906858723376",
                "292047476868574766368117869830640011427",
                "68377778792449808899249162717072859220",
                "164834539665592044352549110206545446358",
                "109878542174435916580846138764000208409",
                "204633037981471440826708084753054226460",
                "73408150706003475108442638874883041195",
                "202769580786944555962812627231697684949",
                "292334083635063987837009038476408030584",
                "35553728061573309029977592115311197046",
                "117976349194007352408098874537938573031",
                "94875344486548450549689467946867484192",
                "11272375232491755378849661340636836709",
                "93499067182374455735807371538003400079",
                "126737416925993489066011234139148915486",
                "215487681528932925450976867482775459652",
                "165788272179226895047122269426026515209",
                "281661628597171054967175313033559039916",
                "31991938558598243987058717938381103738",
                "30602165614729606775841345771799769836",
                "302696149476428336257824266929864263066",
                "7906888396313325082737298598226233693",
                "212761649955713514879579487466719718550",
                "176543283813449410672361917922194550066",
                "281586404033944677146308829902672591451",
                "258590270550405619985645380312988768867",
                "47762278256219180536373470635383309889",
                "262220319627848962821601867920035838964",
                "185176924518807123853004948710595531539",
                "139697209858399368958830776842520390218",
                "330941580340727781487024632221265129102",
                "300345626690019982217830831773819838016",
                "137313879649222557046053779210351217478",
                "184669888718663566511832388053832061223",
                "45255926205280006365649949113441867729",
                "249934166957718498962284508677447425207",
                "188788838797517312663947340210270630719",
                "157639806677354641958720933340773976969",
                "14397936923580056402313026394111988849",
                "139789724566163571904725871384913176945",
                "137441865186673033241420082781731115667",
                "315992537186228437065085230662550881357",
                "123993701771807965224003678374419119670",
                "21407115591430154315460358923429093905",
                "24231821999460219684350408736977465813",
                "118527506094404029151692698646847507085",
                "105746152316418238290209805660689269969",
                "253599169534750336686517818736399314275",
                "178205591268634651177026118576471719390",
                "312029030529889380185247716595720329933",
                "254884374164634656388790604142782219219",
                "299650852618825674712324634844968276255",
                "153889200327555542367546927404215283307",
                "286980083327600711437035059775763728666",
                "199379860159030689477674918628520504720",
                "167472793490175579826917796627897172538",
                "72176515722793585636806471445959899006",
                "307418506502544028638651643840368501266",
                "164927648442867692893573136767997387902",
                "250746159190379306825302025256065353031",
                "64691550918325648234961509520487294246",
                "13160979130888591093177202631399591077",
                "230716089476953276697725026827920450335",
                "288096515539307126051006040237602479458",
                "92954294142936744813159195413970901187",
                "237272302550676765453733118503865758656",
                "332083883410791402091341681736276315974",
                "138942824363178737174404400811811497615",
                "86402247713819314639516390281116356521",
                "299086323549453569647603233174946135841",
                "65024016225702767802046871951419148606",
                "116488901619709160808584846071442646146",
                "181215779288161595089304570687461091128",
                "317273674545100916719553723846155853121",
                "48907593432849703290082168556037637079",
                "322226463687579535355722910091225088230",
                "109137919832405570469966831735184731861",
                "224662410426808356002068722238817467433",
                "255906869358785660186278606229981719258",
                "324065568787094419648653577443672260735",
                "243015956242300744191849718473556619257",
                "91126725173255052511452352665986368838",
                "125628380938915737083271606905077866505",
                "326873923186324545379891994852280007064",
                "236189560318860051024530506906766533702",
                "217738021488313799767731071904484135805",
                "293282189713533506803882715922065397288",
                "37614598486146212706004723261408090652",
                "284947560891212563219903824695031845588",
                "75036599660025350603542310774892017150",
                "243041846202253783668180883784860504977",
                "161237186174603548084863919301299421317",
                "169847313929195310498366980573022833985",
                "114684215994343205347948616805837662583",
                "131493584825224068082011798429761348369",
                "220470155653642863241013940467395659149",
                "134819769557705511204149259041917464293",
                "206636355499846036559345146309312122253",
                "288086977930114856870499992150365941823",
                "128426033349967492764640515802297406241",
                "204453907278403671268157857471649259152",
                "333790666623227213029320025022384068451",
                "289390188326405079544409226224546523077",
                "324041585552935451253117895569723430654",
                "223034377299447540689935936865230601535",
                "264471047096387228268190503865260316720",
                "176915241940635614801539302930938405067",
                "192681700524941106884015048554869100309",
                "123780964730974436752036755180451683826",
                "336483693275742236229498575372540352162",
                "146696494378132435717551731653609772944",
                "308495418745211445773569260496472980844",
                "316542850680720963572046165726811555928",
                "116664976576559894891800762149810908008",
                "67939463058083161676120505094247833092",
                "102151491748787308812935389974244388999",
                "154768388497332879397928245205362707797",
                "297844714404795760659606488695056651343",
                "303464041009546272251207680016771605899",
                "329791888596059983817151533208318691143",
                "143381380380689357309958233535799696652",
                "106495016571744588156624698264758973811",
                "188207194557172171058153435278401067768",
                "174997916933557024260154409038592774470",
                "1930137877657936453986944977548016251",
                "19219823671498203528467141884814544173",
                "85251350438563139763655489041844091943",
                "57431253317287910736691472222899526902",
                "300241939817367214375741678666822457389",
                "106739373780165987995219638667058624105",
                "41863052243989975708272552530745385167",
                "279440604815208333366542033996123595211",
                "281323944585747339022480413653019290307",
                "51750947059876317349001844230639780770",
                "94371803863950036285784481485339424244",
                "229085606606581026230005989273080569996",
                "319431966146850117131641269607863789565",
                "214728778843961675835567645150954519100",
                "120642107964360435299942205484877142480",
                "91833044259169545222708352501297084413",
                "255506270218420752048010174248149684287",
                "110647209639874263240245954619493971345",
                "127878257906353930628497512019982050668",
                "40202519361635730287543889474177798352",
                "137188406107375127903259888400291171663",
                "322274321768340250767656496612967193881",
                "284185879701711438436406291658890777297",
                "7861112920008415954559078867793740996",
                "21527973043193211274581836327812253976",
                "116470913245209308611933483166523875240",
                "287136872304134210786498993607234421272",
                "270432852400135415176306297024798624768",
                "60355975617623112774752560873817277519",
                "183211441893913993663691585411094572435",
                "89742883893146141861985048321882091876",
                "51117056962898207939122171613647021110",
                "53985834181747367586270427300423357276",
                "320928920581230596985387221715789683645",
                "230797384020148500290815426348386195085",
                "68189508183776937751641350227452453965",
                "29532346026398411101076663961111918010",
                "291343844681396725480642131881953449366",
                "188844527429582529742686473532408813739",
                "1353767228404422800033525518216229556",
                "115851158059924793239978813385727746082",
                "56870910074413547272346827417109198119",
                "108412156433693792069327171527622618071",
                "276092054351178012317992596532906854001",
                "189061534872273332105225240172718592761",
                "99655757378917351722830485292554016067",
                "155827356826193486107611232242882029989",
                "80704299172163163666704367662755707497",
                "72782131257905860750133651375656546826",
                "62526331836825416478147782645661868705",
                "338720184341411066930142326968246514056",
                "251513979590036470381472918890283337864",
                "103496304888018708140032355554195926025",
                "70019621272325871031859911444037644985",
                "219593476660018374872104617919030842085",
                "3157845016550745357086119843483368581",
                "311836542509461858810218122032104753930",
                "16383287042111772837159703455528407629",
                "16342185051386136198812470725063288752",
                "208905579338680413053741063327767948133",
                "281562475826536401011172772499799518000",
                "170485945827423117023188437457412831489",
                "65320600810168163910867390751757725613",
                "303671416557342230002240440622979552372",
                "11267589322019573937245239074778668607",
                "214941558311223431849934599040282152515",
                "254393737887164514523600736604979806331",
                "83688015841766040903825560348496576285",
                "297116941454471260210897358895705893347",
                "168410384263184598298903348912202523210",
                "108902301611767392146654379933708380217",
                "324787757757700495629173730918108856678",
                "254752836008257464231742571114239915162",
                "63454827645426324218266813469777219799",
                "207199681477192337060154903827702001033",
                "311454351382050099217150030268761912742",
                "189193063132695267596157977941147335004",
                "44406369314816701694867024620391038003",
                "68664460855983473050449924904647622808",
                "213214558749645519673668223214858337969",
                "261228719682924092059181788328680955674",
                "309312900967724686481994582244179206791",
                "75864464077046180454403457464084906116",
                "40320556194476556338235399438374082162",
                "209164382822230628885289317096358525891",
                "132750054616822898936827298987102566549",
                "317152435926006639484649856768096923792",
                "89152716957244741113263184611516875452",
                "243244034957261745032404943445740873287",
                "330449826679761396437679381248080497277",
                "302117767701463479277364926288443130854",
                "31738667356311864603002518451688326364",
                "254952898319874508593233967934812720242",
                "105492841983910970718366038060708333941",
                "165366994136560997495112748217871956634",
                "317324900305117170791408402419199506472",
                "75552267443411809273252022772081620528",
                "238603094925949234345656667083790923501",
                "185592960483711108827461025040110750618",
                "118433254480194618031705094054544150016",
                "63531145484551386658985780376112283425",
                "289916816791123692074796163592517084063",
                "255863252837454282901472209056426730187",
                "61258148399374862001370049014180293747",
                "282536378130839772034207648600442293913",
                "37776434975122925315070688567561636407",
                "4789776015381226001536432029277106397",
                "183215595131447354578245406861538468022",
                "141408507820274808640078514523023782015",
                "219069115806598588766603118403340355953",
                "225293224033276862785468417019667545223",
                "12949597554978194113553686743178491739",
                "145231827516939071854399143594007003944",
                "143503828417307140838105842968397137440",
                "157938641522350583123211128174150036864",
                "328803179036284818368584169728725561289",
                "40204885185434812624572482343095691151",
                "262003853968822930403081433678718263990",
                "132427608584733104133705216508432856607",
                "144170854758249933250461577816027620595",
                "143843633958200548329200497797648058132",
                "74279547776169767007864220768912219939",
                "52171511680272919362678723313443993300",
                "105455758108500773276253174093425862294",
                "181115736170042681597507175066963890973",
                "78657651345042942926457638557010877183",
                "293690560351416739264184683499480920232",
                "103066182813276857591705545786743621851",
                "105285627032010136153467434439165456094",
                "322714993430402984279882302918198370962",
                "279041720416248645257355469911982592127",
                "14871520415500724281046801985350927306",
                "92355783807246191054041956874319150515",
                "282871821643701618375989867845394126711",
                "87542233267475529165485756865416150237",
                "340019363630294098585943240214766962834",
                "234878411818220230682237406514752349487",
                "6229657508205075963987304816786716105",
                "156968269301905825806716715069451130763",
                "52506080967307947186854090025445597779",
                "93753331467363231428088046241701989421",
                "288824451627771876048618156841423488979",
                "298042038528187140885989987217825729679",
                "281908468216142974175559256676350454096",
                "284288256701092377538425668937074504176",
                "311384833099183222477708712962958172503",
                "28679993186967375085555953686818586263",
                "338665924157860625129075314937607443065",
                "23565158502067905959884699822909702191",
                "271616735570916837191562283859738956224",
                "318789984054378810500030207023961201279",
                "285616988310225343334924314336461654539",
                "77323728150684638838246866200768857482",
                "259201979735286864209764516216766280797",
                "98254276223732281694694012007264510137",
                "306661532227759933524473994392247995792",
                "151758353174937580765158117138286548253",
                "79317483733420611296885718091726951593",
                "47858775116233202929800336447107419860",
                "312319869060505821575950744100962129470",
                "130063709613315285084799871635301857441",
                "262679403641619796591420750171860977754",
                "43101494218912319907539661046005491225",
                "253143111057264062785160069533993912101",
                "24587451966362285995220910563924992031",
                "320844165519300025370730748133053945467",
                "190405971501242962190976835812522678540",
                "272014495921012313810952572773519268881",
                "109870965525044839935087710625923118985",
                "149165810033699298525841202851206239212",
                "243056676947922451781825591419161807405",
                "291203791102150730910278878802528112965",
                "10967777801103258478248503867088537593",
                "305269879832886109478859257505117332257",
                "312427196028197478671208826879454333155",
                "280929861492641268223944454154018341477",
                "66257037459563157197353951551032879867",
                "328486184721551760645428071210257073776",
                "70658888962100660456990592895331902989",
                "194645159252173549938124314762093379403",
                "24414597748580892693294927175918165743",
                "127150190934181635524540456293853859315",
                "153405814703547506184424070260550152885",
                "227801489655964440583381493705123359744",
                "45356928807081845311200984754315591080",
                "229812307849629078325623183200783979495",
                "306790134306040407506947657539597561727",
                "324535912329811865729725176496210876732",
                "57037359759155726791092325856594247627",
                "20654178942407853903625579626884705134",
                "211630625818317128079803982773664606601",
                "17914823687372998180751393285940213872",
                "218935115156750457372600275269289405950",
                "301629936487953391580226103341893451872",
                "328183111325238334652721074660218454258",
                "191813208504432026277503829391754064351",
                "288802356828285319260097084356930244894",
                "194433257860291675585644240309344338735",
                "97664440071786427374309272999601318673",
                "266178979826409924673640863666794337831",
                "255655534542567316129836707268250434419",
                "128584094537671526681315159127118155446",
                "247653850468432809961930022995906094065",
                "42697052517520724364975354955845463235",
                "320725412642637900797154865669401868420",
                "152914410536943738012667531594062456607",
                "109962643566355669564944999565303166266",
                "119270343731004364303878312567276981214",
                "260568722691485055078711940485391959452",
                "35129862610316975749537491407968001719",
                "186183325130511536850055696110534676993",
                "59452663061351998876555800776653452027",
                "155935372105561363298639219790733868495",
                "35748393331626442179174038024988175527",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "214190756386397393228454482517426713786",
                "1386876719765877573461232683340977753",
                "246979869582301628850618663335474917504",
                "255594468604782217216864942435614451801",
                "262142354667764760748918233185735113637",
                "21820043528270479399665432465896674356",
                "11920549327297721491090497450066911539",
                "130094335671791514316546840531103172521",
                "177517005941931947511960230873386654948",
                "129071048259197625513479945760991126752",
                "202441352828650018113363441924705519431",
                "260021490453051307559683277744852061951",
                "330966670985804191691871860667259895355",
                "134832577175982651347555079691944502201",
                "196894569735028808627101396928715496132",
                "39398836012652916921859680626320652393",
                "339446383430664504814807409468033624754",
                "157065405200182270468149393875314094167",
                "175511327970548533384660151928413910365",
                "210608415800758444280948606187907309894",
                "161687446896452991584413538356710759495",
                "32203355104229398072375906128475319461",
                "101339712139716612965540640212939310120",
                "55392454275427406239948121824620199221",
                "212246083332624475256047135981856653284",
                "126316209826426970049757807333823214881",
                "113542505271400912097313319905949089342",
                "145348631271534794190417261055233198564",
                "91812810551473339681489030223915699330",
                "183766964916000677366536525463714516230",
                "262944209275915875998709780560965440393",
                "329562063790805470365545938243951997265",
                "200374759712315761040494275190859756387",
                "210067036682969881172453751644977808305",
                "234813958883299972211442021604731764388",
                "255146985836570047129452933946790179321",
                "335068602059765417642230701540349981320",
                "111429116245069327738193192867866705308",
                "20324451760663333808964179580912746622",
                "223880390452159771740873861034619022175",
                "141376566490083372137060463581779137515",
                "238501516521088048258360131464200461907",
                "37428463460863109954257746510274275782",
                "163119258033003213167432621951222223170",
                "24766084357778171057810260085793207755",
                "260053469546538992160042235565273071377",
                "170911375345613643409074479162699592507",
                "330053343126371860135871245344287119309",
                "222356490170124832965373939893601723091",
                "254192164455026006076217992196261892993",
                "140142719847579298219625131000847313964",
                "78882324547064008599894592456613878235",
                "72122259974044392200378324905693778821",
                "138240934907843987826929586309975773240",
                "156094932413151200341588559098369589680",
                "106010856012346502712762334451232235773",
                "318916500994068552812878710005463384164",
                "104125153481112139202104792604261296701",
                "186384804870613294242350833276490539367",
                "265964295721226125141823637261997140728",
                "41568608335035073710425407567113975187",
                "195629829133448391599223029951682664731",
                "265364845680185336081514514029591139538",
                "305749144112970948013199633267863932606",
                "247925319784208751794821671238312627740",
                "75405771022757556168603191647960369232",
                "99000223699893360407273477464560059950",
                "299737128615308502303574486359510361107",
                "148937117441381250789413794765951085606",
                "205506643386813737057265818880476970048",
                "134194810168832491204861138624300740150",
                "207482589178634671728460361366420047026",
                "41436698121550732415279570041749315499",
                "42436720750185892150638375103052262123",
                "290970400686745614680221728456956666175",
                "146295717028242816107688379898672423682",
                "111345357503182803401706002474820798000",
                "220860421981172316416446224372767145666",
                "197344017226082569354938740162133585901",
                "229660388257637542114516303095005986948",
                "268719822863079468624355453740892394049",
                "291466541560554875947735619300101679959",
                "161057289250618644451303433742889545551",
                "89074023091915549543826338971415478909",
                "160604466926139390913377214098615634033",
                "216296717291027022187601054240732519699",
                "53575009638378958682979971250973339045",
                "230586742124244064375682282054055598264",
                "221940381205213177965703369056459375785",
                "71119403839906814845500375051070251077",
                "56783343267060749830092991624749023348",
                "132632930187802596266088958045433861337",
                "116386085334280408397347695925614650475",
                "326283484828456258169673444085302872686",
                "133257453655892691705224115459431247380",
                "155946825753681479898631002626523953188",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "306273529433222221767286023984005892615",
                "288766958151174890396816573432539750116",
                "144460014680024064098128597562089884329",
                "238265138449614882917031770642631172788",
                "212474943142325180456832225672504859187",
                "167601101723282702964252311167332407326",
                "197634264863610822184869366834867265372",
                "177829179645364522219264399365849291722",
                "34778487631864919234531691844333676455",
                "70008864998148024797489056969298357670",
                "130877618309552054655085046762880738365",
                "64092706098824465247902332928701310537",
                "179167051002366667906495851360813022482",
                "253123229156174981468895022426963512422",
                "86862968053077996792471444323358780262",
                "62516156071092233047913114640903394937",
                "77474658719946435913471638497383522746",
                "195458058840500149954044656574781929748",
                "21587322573763435817882915826831352267",
                "44358582437923178989968033583865298455",
                "322002867071095034339757313262792768249",
                "283685738356298626082118368358735995156",
                "110293963401158761015264170359783169655",
                "41377975188038156351114768285276270430",
                "154557368633679819092161218177283595268",
                "323817633129753684207411120903111992756",
                "235210578528355456442197930014175848242",
                "289984276971002911872502923721231387442",
                "276942377525740689189139958260980646366",
                "168519407196604968095286926756002292531",
                "84090409525744985937483195218300700679",
                "158568234711063124166074066325981735543",
                "216756880136486961263180959362346955192",
                "174060222761690503454773590420952454335",
                "287909538597929931411422770946448081954",
                "245243949478862613103002208203991519395",
                "158522483984990421082076197248671626963",
                "82330061858667298371752294965196516439",
                "148161032824237214109533324854697774881",
                "16214363166693571385268401805882031074",
                "21799490716209885857303917468340595719",
                "271711503088644257779839577227670431391",
                "267052580192556647491980918344645920706",
                "140825832764169026358022823286770922336",
                "251428451189483527359361079278288885631",
                "42435931099502832840370366725452581597",
                "290955986066598336956392815026471003543",
                "19703457061718847970436333741031126199",
                "88337029895665274132372261710685264680",
                "130095035386851337007390881996573066071",
                "287412914681143841877587306504359420585",
                "244181805418469789213468463555557931937",
                "150624947814562817450797401392947986677",
                "175445922845650582757549749658419699402",
                "262112071263848097626022377997888691571",
                "261783722048211820668395342631478448762",
                "291170704908375528435976235948557476745",
                "15309005639573264914926426145787136354",
                "270816673494096024230405045321347946980",
                "297843623206252352903772258705586445663",
                "177520125647534398583310270022167559858",
                "121921084004373215714529714899550059947",
                "306294295556213652803948382033015354666",
                "301254215325870535060589975877471998861",
                "57888978012345571347799511524569339052",
                "187360283322672047639561449116561272310",
                "220912286193454853654700415893103371901",
                "304054031022443585942533771682041695266",
                "272361086151037913903762092446053240485",
                "61491863897127188681834547248126747996",
                "292460942148964907962171684484368499555",
                "132775218231469050876479128663717250989",
                "24004236572920104455862446185723921134",
                "44874202183248769861000730469148246549",
                "42344492535372258399153932835806295324",
                "180616320238342782342662357972868434827",
                "309006705370762437071494439871204192284",
                "32710153917131377989596100654030028992",
                "150232304279874057533774551131317812380",
                "277831662901601532454409137828181949420",
                "3491413566427875172654024113857871805",
                "71324702336097453240959360259295779922",
                "127866819734642328661656522126149718308",
                "326966883032542556432249567540724833496",
                "89511873926623335263999573100723926690",
                "221183968460982269185785677610738567301",
                "176237006500147131840631360339019503066",
                "27973484188416518338133276629320937560",
                "121278573415771269496184784471433513579",
                "152627140488761556160193987917828024143",
                "161036374187101883269845317343535123181",
                "139607018827447822251719023785482996525",
                "157768929306259800509197523002874192682",
                "143282306645111810799882251715716778458",
                "70115864973298915006471177256848223994",
                "158557703835540091118251049717945787558",
                "169256862644025330393658290117461830742",
                "25373881075407749476480088930403715187",
                "523071826698465475317971091104268911",
                "314010547348996576309842771735673794915",
                "222692384012827046003971744946195344933",
                "338843546713286731317368308499681296682",
                "219179626264277668550992331693975643639",
                "326397148928029599072913115873076494660",
                "93697612640946661334197709508760681380",
                "198000772599703211136092037029554091713",
                "26888337464875654165002301143382696109",
                "223143132264427779626665587828776177418",
                "259864522674635380442334930315051099209",
                "59436873889084752088801075451776375922",
                "331337221643514795902857454273553907895",
                "856732828269506271761806529158204429",
                "293734834302151842686396898023541676278",
                "135319535642592327246526059410648254428",
                "289693962873150282312775780413956641640",
                "163532185301540358938753428185972502496",
                "25233551007722559904140539247148208510",
                "231058563231721662694569560972311998064",
                "271573934646724828094146992641113818975",
                "309577707359511779465084176526020537125",
                "258140464192466805968071215805385743557",
                "279642191176083238432119396082307961834",
                "298103691561135980008313521487900284320",
                "31548923001345455202330187072412758621",
                "100230946958264071091497513940359643641",
                "101005804318428862546680331935446700467",
                "131475888261919329533319706448250527966",
                "234862136512088374015552224789708482724",
                "253961904441439619668010440020265165668",
                "339122626712570919888865807116650583655",
                "9032422548336317031997117498278601899",
                "257276384606439033598066326473475921886",
                "14258887937779151346206965055548425533",
                "195922992482157963874296212771367290773",
                "214203399832703328958242956848182144338",
                "276766117505240377869311396020294215304",
                "194622404770984403536062776420714986952",
                "290148635194138460534459888268906612634",
                "190287105762754826502931092219627298018",
                "249065233828557140884432975908282917396",
                "132203124321272762735553720786676817727",
                "13736088524660236058688545574629135688",
                "270971938814345093452525140154883172098",
                "183820249771928658125806638694925005863",
                "111077152958419210099784199578775524153",
                "27226890846404287587571520169112748543",
                "300038503571949882991797608486133450520",
                "285472373007094436668379689703330035948",
                "69273865203152275700990592896065401105",
                "194318235018529418441563842806774949916",
                "79425679339583790525262704499856838613",
                "221263014389355763272876060899555713015",
                "73298872892076732671707394761065687887",
                "201205770108702794107781939889639640685",
                "273085821459031852447758108662854132382",
                "201654667735599795706615004700575563273",
                "191767889421887697435025042090595378252",
                "33399412346214654400774011735322393875",
                "281724698234710809419660321588195337297",
                "102014430551683464513728875806385245603",
                "67666485688219784692624642907747316921",
                "155335755070888131802030661294064773979",
                "281298730352721709413026933389106551582",
                "285400838698823245032447152032103518465",
                "139878630843010236150399082525238913178",
                "22494306269313635239280551955810589651",
                "32784952864003587966780029896595913257",
                "173050118013403152978411869317412120547",
                "280466951219580611722488891560572666973",
                "201339695879149824620654688838328361036",
                "261862968816575572040740002158556126267",
                "264890239937489057310585551348569042433",
                "204400173455055409154758033259186389653",
                "327491963269209471841526259538876758164",
                "292153529916032927483786696537922075582",
                "188524784899766323303444736400758983686",
                "117711588370501048125235994211046719922",
                "201524174681507191398284246328575619060",
                "80997042802974071845042030735242241587",
                "300362855498632447567322776494968613882",
                "263433337876269461929583879261436151888",
                "16772062066108821793439748994097905701",
                "238578749751519808157164362932468191340",
                "80984159215002713883448841032177254967",
                "51226402509058821088698586787936149446",
                "226905348272335481955390622103879401119",
                "269380174265526318849980198340894395656",
                "320712124397856844609978281463081627590",
                "237192447717617268141778991166831330522",
                "293104504944930979047771286204480383811",
                "84700405504085599069904546357481241056",
                "287429793440073231337806435614126961648",
                "44986879585098297133641390494749278679",
                "193820273817070962449918732558290723612",
                "166155185871420833170713962824870882184",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "121978776069401937566850197627877902156",
                "337853390832035830108456756384471290703",
                "261859142770935135420224072780147403663",
                "280948628457392715784847144165306324947",
                "190066882906170106497227332662125618201",
                "6747551755805501840468661737778033818",
                "107948202556643035090535923202924412575",
                "142293140256703367351597529793827451826",
                "317331420514748421079691381959801429428",
                "229920242717948299949588987139907244520",
                "149852499348727802712969362607876319220",
                "130846193256911854983257938813984767381",
                "237307589694423706982310838819779557171",
                "305727239633290336412212097588099727988",
                "193192216436160008087645575470064185057",
                "58683943656716027898581942064337587779",
                "1327723666724733725632837261351950921",
                "313837942812011481893046961447314346968",
                "85804047829966260516769854613085123189",
                "280213771040872574735175796352493662475",
                "60198944378049991731249332195077205681",
                "86357608859037890897789894356187102015",
                "301492181835124453843557463584070438449",
                "92162648377030439716292756306232028739",
                "79309873097907500864189533784128877332",
                "245476404639912593036241338166250923639",
                "156923803733073068378823463854345732171",
                "143725115794241978225767591581408649570",
                "263413446486534902621546663055815935767",
                "75381490107495433413132041841570776873",
                "205987802237690276485201724419480258503",
                "304740450039607838930804088170111481732",
                "289657360619460561399732807702914608229",
                "136633905803472406575736928403617117216",
                "153774833678475026807353304079434042588",
                "110204912459167060595401321349295376216",
                "175048267134510114856674170215345374678",
                "321856766648291178320143511408477698132",
                "47500036045049373333750515544638976743",
                "16113341711804366911572211601417452430",
                "49776119932508473587283597452353038583",
                "116876758158364080296367603712085985752",
                "183380293638710244688726383791297263536",
                "101811187472006072610517051385514900308",
                "303244329963426009193003811134164633465",
                "302850670165501302204024520402774257363",
                "124310705007620652583640721956843742043",
                "217825697479181334243122680779636363957",
                "309440846459364870320019254098375454476",
                "319358209231901613352608485430065707885",
                "223969823859646281231369708500690751473",
                "173995212534959832470700027074719147798",
                "277984820395200152745504578658802393527",
                "25005758663924286288143907977240415808",
                "204469071445364187047875872044481359804",
                "26097367452800855406102343852217030044",
                "76566956556112932498223632275977994873",
                "183293719701287402248104508387843367141",
                "174688769637634279335637145530982231997",
                "136201345388976662945689018545230466091",
                "168351296916260545769966743690493751729",
                "141023863225872913888974684574571529484",
                "160381480427257023962866131871029293526",
                "150542682817753877238378403127489561695",
                "280008311413405435911488257816030519349",
                "283455328826836825702957813933670278623",
                "39500983642184522944371131514358164487",
                "253062527063027213860315660089288658356",
                "252643347846423964037254386008635528466",
                "18831160401882628403398956975235844013",
                "146506745687780231528040643291063758866",
                "323025144401666988304317595057647515315",
                "244296344365863305274950182450460862679",
                "300896723687962386510116162260486620800",
                "224107679516375654102305136644922333266",
                "238972861758409636728978421372810597248",
                "32396738926204540231367808804069861865",
                "26159772899452630309403132524372163444",
                "127259997507495203145394921212171900116",
                "336977027189347454195769059409967783211",
                "208259926691620596998468391595688591203",
                "3849918354457611313860514302919493881",
                "282405175069550951156979250144777020564",
                "324041546822439188752546431225986920870",
                "85777319213300666929500720795633337298",
                "167313371756515061084696931428520449287",
                "253766373880531723886500740158676141529",
                "114028335249192413452452096324244393797",
                "322651789593103270341679168729854247869",
                "146279239106971721188463500019419520410",
                "45403087746014380939749767017716275719",
                "78689951642005252345301819629358524825",
                "182396673266558740536942212198259073685",
                "261188713713507973883670850082689594260",
                "93131150016944150359972640978728209545",
                "26405904275503442029017863369242628511",
                "154646728204053997174231580052128808230",
                "235831845165787169661856587448681957203",
                "63155455333917931510505963352217619920",
                "72047635916649686191267767099373604223",
                "2776155223853073483498309919901741417",
                "247134258350840831244644183640306667733",
                "42612489791082798816393377187543641142",
                "21903302237188136367306561406987817489",
                "199533585947828673856698719533815919110",
                "19574423222752373989245570065009785649",
                "185928918686658258683892896196619029614",
                "80515253171196784698283901205750656659",
                "179980744173641422755704829341978048531",
                "36677997364466336375430363110914171089",
                "190221768085921296638250684231122114693",
                "245577685978969790190149981287737315552",
                "234386688111573766556257312570411941293",
                "6085186410030097726365770076345264982",
                "33712137954685847883152308517201727633",
                "61866876945509150600141477039333682438",
                "67002271559616962157345836500038809114",
                "210037663090284516400437962829784715779",
                "291248811437813182062570414467112153811",
                "82050633852970670641785335822997479364",
                "168764007650146618717143694645139145090",
                "147485171091054314611621362588204809476",
                "50849620689151848314391183096255040017",
                "238108398270738783204272378705194163521",
                "249220028230325103064938283263524380405",
                "316583906904818994665855967016819198670",
                "126732055602818857109614689575218047614",
                "204632019693018363493552788615630045266",
                "98189029552946617664126411620003979953",
                "202921516916949858736189504715733471001",
                "165082388724715471103839664986356046339",
                "302914446710638288731607571567932611412",
                "142332412843741046955646662159412702259",
                "11331583237414348243864400777477434718",
                "73086928347544897421968481564556045438",
                "295514704565740204975192553223598958198",
                "202952574925148482501877237556137552398",
                "318184603021509850445915683965009547887",
                "163079610180315896116507084420978025572",
                "69880877663973903435825667147174734681",
                "291710880160506982319604654616206830904",
                "235681616014702017620261670775325363234",
                "27343324438977095714739157749178451190",
                "331943234719880771799831729223911641845",
                "31368917311002952608752646550251313488",
                "41370205883300021301544713084976769945",
                "291283763713888057066478327137199683493",
                "66118547078108967829582153805691693929",
                "165987565481803314873613980988208959373",
                "114800646083006560056986231944699595009",
                "37739810672060638475899430760576922965",
                "159483015004769439930947442601522383221",
                "93293909810169771979058694153676993901",
                "312164072559967461971745991378813520946",
                "329261892947529828347190853929481552837",
                "86911273491528984836284032903443503937",
                "299907044796451450318711410531179878551",
                "330439488039802754861677529761267563941",
                "186830974214870300932886235745791076785",
                "202452996243476327009310153062375956765",
                "287245677203758473398668853221409753235",
                "50229627008958130854414711753702519131",
                "334258868922047075446303082135794262646",
                "273257845273657884413951816467707452607",
                "164373691634215766651140588808605919821",
                "148572537951555201618310649456536609408",
                "140911170635841092819810367215661375584",
                "299030966043518837415651400300706609516",
                "162485725459358053193507769872873231821"
            ]
        },
        "id": "CVE-2025-52484-2e1ebe25",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "127696853315748936612300445039706263024",
            "length": 1105.0
        },
        "id": "CVE-2025-52484-2e6a1c23",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpAND"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "191170653917283666889537739456682028778",
            "length": 1117.0
        },
        "id": "CVE-2025-52484-2f624c96",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "95294611674804375641738152808105890",
            "length": 8899.0
        },
        "id": "CVE-2025-52484-2f9c657c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "262372292807714290000091772347853888669",
            "length": 50699.0
        },
        "id": "CVE-2025-52484-33a2f053",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_12"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "306987470615369552803137267697536911538",
            "length": 934.0
        },
        "id": "CVE-2025-52484-33ae1391",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "217010835351934655640735706751813109122",
            "length": 232.0
        },
        "id": "CVE-2025-52484-3492a5b1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_IsForward"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "245056775760387581621387899445289275823",
                "191490177715841213837404049285059740775",
                "175377253904044987534590085496422642971",
                "46114447386544481488174163390078090079",
                "18546220730180658531588244704069914913",
                "1993403315319937880743620137509702815",
                "71983511065075005584576377824844746926",
                "140635973238962151224808714695015934445"
            ]
        },
        "id": "CVE-2025-52484-34bd002f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.h"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "177437565140758132361233767808742353651",
            "length": 73091.0
        },
        "id": "CVE-2025-52484-35c47157",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigInt0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "14667280805886702215911338089520483109",
            "length": 27188.0
        },
        "id": "CVE-2025-52484-36071ef5",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_8"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "95294611674804375641738152808105890",
            "length": 8899.0
        },
        "id": "CVE-2025-52484-362e991a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "154593894177130261593245361867296319033",
            "length": 4964.0
        },
        "id": "CVE-2025-52484-36c3fc9c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Div0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "34839463437284529955500451824014596685",
            "length": 1138.0
        },
        "id": "CVE-2025-52484-37abeffd",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "34839463437284529955500451824014596685",
            "length": 1138.0
        },
        "id": "CVE-2025-52484-37e75e1d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "169230474818034695902382976768208174825",
            "length": 952.0
        },
        "id": "CVE-2025-52484-3ab970b3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MemStoreInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "309176029445487634854533751662592085981",
            "length": 7363.0
        },
        "id": "CVE-2025-52484-3c63f4ca",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInShort"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "56016503565241095664086841252852584835",
            "length": 1261.0
        },
        "id": "CVE-2025-52484-3ca05be9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBNE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "129971965077340858392857914272656896671",
            "length": 897.0
        },
        "id": "CVE-2025-52484-3ffc4e2f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "169230474818034695902382976768208174825",
            "length": 952.0
        },
        "id": "CVE-2025-52484-412f7f7c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MemStoreInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "60990364251508169086950602493681793902",
            "length": 1759.0
        },
        "id": "CVE-2025-52484-41477308",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlDone"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "114939928695523674471972756130792070433",
            "length": 1230.0
        },
        "id": "CVE-2025-52484-41b63295",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBEQ"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "166086549298887431495680679096116174286",
            "length": 857.0
        },
        "id": "CVE-2025-52484-427415a8",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMUL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "323397532488525556018571145407070161702",
            "length": 525.0
        },
        "id": "CVE-2025-52484-4287bba3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DivInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "196676361916934732489323310951612728496",
            "length": 899.0
        },
        "id": "CVE-2025-52484-42ed7f36",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREMU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "158626546603976785908269965843235957045",
            "length": 570.0
        },
        "id": "CVE-2025-52484-430bb811",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopBit"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "58829614681703357025242745914883442751",
            "length": 4475.0
        },
        "id": "CVE-2025-52484-43e8af26",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DoDiv"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "169230474818034695902382976768208174825",
            "length": 952.0
        },
        "id": "CVE-2025-52484-440cec36",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MemStoreInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "302950298555987349014447879196785069262",
            "length": 2335.0
        },
        "id": "CVE-2025-52484-441f46c0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_5_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "174515425003606379763336284188169847239",
            "length": 915.0
        },
        "id": "CVE-2025-52484-44720bb2",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "49646267217368700552427493900197325506",
            "length": 43794.0
        },
        "id": "CVE-2025-52484-449ef967",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_18"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "127696853315748936612300445039706263024",
            "length": 1105.0
        },
        "id": "CVE-2025-52484-44c450dd",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpAND"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "83854653992147635095150891385627888199",
                "200416447397600965530172840423192255495",
                "200505122183070962160421121025275634925",
                "289727588448485190028375565372546822823",
                "64469013389912114903310384411169579413",
                "311585250817768665378516401762388750127",
                "118186568986583715165475776255223654636",
                "304444416814181400523920759139820536851",
                "322344691684265996574898446052509616491",
                "312187937039881722387711209038486532563",
                "256346700394350970382855193927159126168",
                "271837136099819749907775623301313455966",
                "224399734365854990960668972304885898406",
                "264888075214063290806379349787427768190",
                "323301457067189929441030159724174652041",
                "123799262257502267032954261503093208877",
                "254250918880442044713488811018366796135",
                "21912005249298863112204496296667976335",
                "114285605302059657863915835005279528643",
                "114573541301862664893494219651548931533",
                "331577441324678034512724720573978150128",
                "47968809854879850502928292470717492340",
                "196715624189983500059154464204680430625",
                "194553467479698713627358375445467467394",
                "31306527070200454279263244894522844468",
                "322970083401946957861256995231488560284",
                "245711268425802515205985702417917105410",
                "173113205692788302405283996878924330887",
                "208869453333053072334483146349817263154",
                "121724542993614871242755823525754736948",
                "155947778114787912648671873169671211001",
                "7216578196012080767917380966957280956",
                "193388633407767379488024567028765519169",
                "166385154790538705159238530471955483221",
                "179695200920730252880292551556609153838",
                "322389588042510776116577323602386360061",
                "137998311997421737073057371699865664923",
                "142558223068711859150325542147229097991",
                "316038276464734249117389152733369929730",
                "42198854614949538417561126645406170611",
                "163705639546908587783656012436888085389",
                "185856782940064325678033783133416023169",
                "151040102372862503589219308668737080623",
                "326914933271192393111227825192232729278",
                "226135930530966770768758848842074983657",
                "108655568576472116672386506309673869537",
                "322961744020814528892106909224777463278",
                "226623353901135767805928652305719952522",
                "231767760923651363453432395412913688638",
                "294449535916063493680694820535812008885",
                "99749266768031536128968123102380720804",
                "17136646078717433086470582733408707309",
                "246420742028810642336327538515892838427",
                "333754992363006506542076820367042619847",
                "34812399384619107131320484392566216904",
                "99993367284420982786251388998367526559",
                "159142877966906297436937447425693990037",
                "89390075582661749529926289954450033112",
                "263670494149129589153406446912814635005",
                "106884941960562192218121636074375485710",
                "127429065616653960284012891321200329630",
                "60495617056775051258338999917778916104",
                "339467300159284362329417232082863462073",
                "149030497749982842105469184131026209448",
                "180963373677208470038567894948864305640",
                "338441489500347489225114113091308095424",
                "100393641588791272091805673871879181879",
                "300247940020113486227491602277031506107",
                "316775119616482647539515540091820454450",
                "43098181254454749305932190223230801348",
                "54352261299768705039466902023388953330",
                "184763369576211305824960393977919999158",
                "103500677457539324434732165221420021864",
                "151055738197970984909760371084802997042",
                "270642557109111284787682726498937313487",
                "79408709278255166598891892248276225120",
                "260905792550188235570548005544237663445",
                "248944880728249202305400100089065976420",
                "149650038639148253090918703934132319703",
                "277004589068675798010617481685690935627",
                "42114107146834747647676753745700874615",
                "178012807369512796862505289193398586395",
                "122301335856002665597186317016288917254",
                "187448421010291316281870718522182613265",
                "10860331677217322837765090401775957649",
                "717421295439819823016201117158399488",
                "326643533970584422091745718770861259315",
                "32017932716201035464899105957927079755",
                "209554050067150789776329944355232434321",
                "145292811972684244628784977961198507658",
                "204038653186789976418579201599702809832",
                "262234519154148122794618179900017295677",
                "33121174686903008747097878308535482805",
                "244927211689109100843606700762047424125",
                "230625580737046506691284780095646717009",
                "236404028919126902383582935263471762119",
                "162098948801237591590052868434183856133",
                "169720947631017013194939400099157321683",
                "1758446779737165262397624126917641700",
                "3299531999363085935104614734836008531",
                "176023305374940201591218527111271928374",
                "252859974014453548590273509592128894247",
                "132169991978584302274581987425559947726",
                "17446099015263185530038896208888639081",
                "98364298741442985471457639321886299438",
                "303405435065334706157607186657414331499",
                "71881832286133378250769066345397073946",
                "63021768267321355947420198715700816806",
                "172789802634971189086305402714663821524",
                "71165757203183490552199569667125323048",
                "102885562676407370563391591424845106791",
                "46133116544710473315514334280788883809",
                "213892935749138846855015089394176436422",
                "274747291043781674197426649139479002166",
                "276125003323467390396130915523892878243",
                "231260223550726982171145104113976890071",
                "290348964698292393169752289777589192732",
                "121173565215379386758075715350391469525",
                "47719109925200218974930643346464430279",
                "307325728268211705959486359291378749899",
                "6057968336828429856683867979828070023",
                "265788147690319888800760450551787741100",
                "112479441453140396833543791038276680634",
                "122232126388404686933554788246377158698",
                "214833507623285766386928245668419956459",
                "185398346314536466827254220826070397133",
                "166940480860575592405480690686701002962",
                "176174358824938994114399922524489552890",
                "312417740689750641812195832037560200800",
                "285173860027585640818491243760464829965",
                "298804325798820059617608346846620339142",
                "158982102382397404098874995518930391496",
                "15077386057931316243258966132228428445",
                "313167291478897298379462731667785110262",
                "305744647198133520759791327088154027745",
                "84601730272405975755003617532504127191",
                "47005048161961820833673224350697845564",
                "191586763508048196882006891258381636001",
                "155135411667459780023241804886036501931",
                "179777004082301216546949867654509877582",
                "46036145481838074050318529961345738175",
                "145195931219756563642606068519140175264",
                "329450346815015962360606180655110018486",
                "172034253884721727615880610955916026510",
                "41613530484188902180699549580491729145",
                "90371921072470444034529409801160475058",
                "9085085282063894643374054503041432668",
                "326591117618465228225699238468398425230",
                "218837918643410461431129417859743862638",
                "196626357983131698330121323684590980361",
                "104182581683013566145870807954112329347",
                "29132657985840307203859132079469744839",
                "64561060962322170602951654149164148210",
                "320890689519419660504987486242761629159",
                "43752975800993818113871469950044440251",
                "169977294891421575243949270009308927142",
                "218754771224736812800036579591729414568",
                "101825261839202124258054973603740658622",
                "256615156019606278825932746451435211993",
                "246095369818393361571143731267684667855",
                "314794693451095130138447134184619431647",
                "157618655550608024617078843042842482551",
                "15616333602937046652826356949045228704",
                "1135221766645833047545808846721058723",
                "331849157937110849662146222789678143952",
                "15614424662408746215304549559745772995",
                "229723643892089437566273026999651507678",
                "24464516719361659183835164327014897222",
                "265764262613209449606054195245412311448",
                "318605819332922596781778821160187759862",
                "195686492994993012096002176974537362599",
                "60193464504599182193899706457062404301",
                "62730680166864243490969914155469882826",
                "137061856066766358834896307407469675792",
                "30137041260515661715356186310798615331",
                "302079257186390086623781923406087995529",
                "265360490328825092730236761010513314",
                "289780946826930967417319768624064672696",
                "106155335175646490700891026358194809310",
                "120935323205931249494157561170943361831",
                "298166198520879316450585295562392784920",
                "290857756162980304296877903042301945201",
                "319912887260554762878613474150073828658",
                "193460291659485604327885998088205376943",
                "48013667779109673863780795686801020242",
                "321498669008067409365886967527627558477",
                "147834495176503022670032392840501367466",
                "337079030523763238654572978029086465830",
                "10130069196646811883486211246418294563",
                "20844447393598693540957357978764500594",
                "76346170608673408611794607886303207067",
                "183153832175229782798566108932891052928",
                "33765009418582810583403141948841983146",
                "204275475010593505069556517636111797588",
                "264351629131336363591017002547364886767",
                "191250088609763696498087537555926460384",
                "172914657240347592924589602644564468432",
                "237144331277087934346070523051562849959",
                "116743375402754644585850769876008145613",
                "230545902292313492363825679806511815092",
                "246240038128388822801317590466328017811",
                "243585845310875643421365342264495071384",
                "101798929433791106509564906730352842908",
                "129120265018305279156658959582797031856",
                "58228804656130281675541390164163008992",
                "269889617857884301167092870407709629536",
                "21170968166736659188645419587184915792",
                "304284785180427148597073052992186957751",
                "32039136576098677710484949594529664443",
                "213425905838446709527721874799847558122",
                "93022246916936841959749265554043450079",
                "73249847867320780221233659524683279039",
                "332673655622014602174044822328172592173",
                "101137368693974613538958249883242378229",
                "165669887180600958954024481256541116218",
                "240495312713025085706025426944832025108",
                "80147637600710456044677678525434276695",
                "53608024373321651887913864740978989922",
                "132767907404267944066496007682415791837",
                "111329408783180283355241921654891771487",
                "110671983206870263986824242568236813799",
                "56437503753208303422551016159875554328",
                "94890317513064500411988708976992286601",
                "17833432151600442072775656266036808989",
                "127374053059820725785825038397007505506",
                "265301769797675427502233059103021753535",
                "171913036407055831086202425729005357221",
                "200602861970428053320356445621561185653",
                "176589843466455159888686251647898205165",
                "122569858756222588891010346608709091830",
                "275161199467018928298391551094733033087",
                "140196384254068198010635558240974300757",
                "166787275772207414088192352267103575251",
                "237311634542370772476939021308009230653",
                "244641758356139435122721695026583270575",
                "60425866012221932186001226876644481418",
                "164603408726310120041584277924624833447",
                "196853969419629697564772619871857462222",
                "206369420752438408312519308447158303322",
                "214577781735269188508230053001823085583",
                "295715664153817143596922573751053851383",
                "233600674837192980231339147340309644092",
                "87333045329441073335871254277714006484",
                "41695852064830425758168852829957903505",
                "225758465143291126117599202074179580765",
                "16699434475769607347716185539071036440",
                "55586665275469395685017826534970433590",
                "253382225966758709494381092993585928553",
                "171350830409200034260310189299017121556",
                "20444590113700845239470977886445228949",
                "172200414028844544347579628460904019878",
                "31731258072563849141938892813581383860",
                "75202156277299699411118956093655321353",
                "340184062734851409654806291765073687979",
                "180758457833496495776289142624133624087",
                "208202326666944593317093627555803118286",
                "225208943276918374091678990987017855671",
                "82592212523289801050682994402218101861",
                "34690385642409604326907720125383031088",
                "242640096582281615738477471004670173972",
                "144263413539957867409138111033000699780",
                "291274015767039173195252259721970797365",
                "302839160862140097048817635233194460927",
                "77514652502176359919783782228725292042",
                "322259105966684593688846907811629500994",
                "246767247837235977930830672070408828354",
                "231449942639785579788863507768410385302",
                "91500077258038597750865492677720043387",
                "32269981219071689471433694560658593049",
                "27062679830464376098506505913493810584",
                "138614157143047553991720862963717721122",
                "31989665949697114732640233759637163900",
                "85141518258071734212056272145494715698",
                "65990232582078634774759647053156867875",
                "275134631594215674535886662499259994485",
                "262472876151614132024984483914458783469",
                "304808334461591944107001576669125355409",
                "49728279426107703411764500236305349041",
                "208875914940501412605388961116435795024",
                "14017043577734528243382630065524056785",
                "260371794709139376894327439268827193349",
                "142485710982422660644307403833841338914",
                "324756933511657216917710067801365959529",
                "116480023758337783048739998785933305233",
                "82109899990376779553087680023021133545",
                "182973426660099291801458957900222530763",
                "271366539220163082328670071704402640571",
                "92899282384587346632588503153876968938",
                "36617307485291217239890031217413980412",
                "238769861888873190966532126703676455666",
                "24860000898324328947288697842544970044",
                "16213623772573362524144316434315331947",
                "267539441984640688101511558660371162686",
                "322688272066407244566171660754878148588",
                "326545658531122211912348488705174105042",
                "283945270877989625107054545168812185595",
                "51271270725448125708936980620063935856",
                "166073549370385380767163112198211227005",
                "50309202251436805050692803564465495039",
                "193873916804581217713879099054163936260",
                "226856136075337794637370840073351591256",
                "316504303994943381359711370494859222015",
                "184960873480235837728213513254248024775",
                "16810309331324385710837030759880426269",
                "41570613278251429795645234544328014171",
                "22802436025029562556034145513517056800",
                "57675744996751187575417665751246548271",
                "78957467628205739338747281583219616745",
                "310371018601139938413025615685948087420",
                "68521535059499882865565821658244504067",
                "145951427797235351688341296842482329315",
                "253837057836016374674419095754152064971",
                "43950755022257583104598634103427598817",
                "77759196599950469283629409647087104605",
                "225540546803422907054915137116836840477",
                "176580485673521995877005558657177165070",
                "303109489741340624573383288319755787485",
                "170120420619565592942278154365114896967",
                "258970544890451766687497977480843794831",
                "52385381610219968817718255456130852231",
                "295081704497780047134056445291480892518",
                "7006913540361697887832478706004043216",
                "232647428045695544291176437622206410010",
                "290173870707333880431412045066311577570",
                "234306788673335263074103037747713863445",
                "200210428306708088424686200466558533194",
                "190550764187460949413944613651950046252",
                "226188488418362027716659521722206310562",
                "51298905257408505068172894670822821575",
                "198980408706863819565934444386882233429",
                "187898664549673795640748612695402772277",
                "102220583565463578811194859110869603968",
                "245836311496332215905099970050098057614",
                "156300196757342705809908835746518516244",
                "112042851218715548781114912722363895921",
                "333354457724153492450520162749983241367",
                "156317521659137128877316748579317874202",
                "78208586865122529444271674605958627590",
                "301303436334679831291142373348846089831",
                "273940473258203248412032595726608478799",
                "297808390773851931517835264159720207782",
                "115339028505468319915440933734045956337",
                "98596088479136569043990105642797347632",
                "274508134471286934520737243718134905545",
                "40615206767320210892407985314753536250",
                "165048257329605685212341376939476250951",
                "274538682308254921910595232932659170653",
                "284794653144834961737764959571841077716",
                "188288344575207929797141312286840112758",
                "11285728257528181919680332895014598189",
                "232526688539486393335621082081352423780",
                "310735230461379520413397708378845500287",
                "38120457826698929131510667564311319124",
                "32830724175683039538301079226190635115",
                "45827371983681631371185048739923764042",
                "118419699564052020759192660877954383638",
                "77297989273349617484061859849051999097",
                "267304591886458603029576274002186336134",
                "241249946299286170183356961593601760611",
                "213396446383213629277219997474686081981",
                "3682232101570245369917948283797243905",
                "178752381267720608378045220736347931789",
                "155147717362769959616296711713329790057",
                "292977881969415228830160063129647444593",
                "110049134666452007838313941677775414117",
                "244429692369692842395114990444293523572",
                "84167971539644823009236634755902623607",
                "143572632935732258382066184494302606483",
                "323885860940563826620089415822631457000",
                "19159518226970434755527113271871538662",
                "26897646950983939746605345160010431474",
                "219238931958536301955118438593662565564",
                "76764597296751119914159861502484708603",
                "192075666973590177135930828325318245644",
                "173690769977362410558843911545324085039",
                "196950109334584164460778538066976902418",
                "2533229004874650871431246815764832803",
                "252939435944110792990840155317316821741",
                "309646569800322315076202647487558246731",
                "77229688290575018388481258197638828603",
                "164939321504180103309355989476255959393",
                "313725271635478737208053982319923390342",
                "159952246126426316793617166827439331514",
                "81165063806310753263019684712782119885",
                "237130941650089574019721644740433986246",
                "49658027408330627771826737866620262708",
                "145598441131259093731231539962429458333",
                "275913490235759927305977277365223934069",
                "206861808914478194299890629973289040466",
                "310288866727423616911240851965747869109",
                "330363168966889263776934402449794167806",
                "254198006025327724687514478651506523976",
                "282100566609275661826662661039856524151",
                "293379465737306360814668579486024596611",
                "320338609189034945630659469894762373936",
                "328123971907627956793772507503750673914",
                "316013129392286410338914930244240237500",
                "324173289771592481075408737145573185416",
                "176885544188992765935789621546130841218",
                "328485501248184222125625571036241352359",
                "130187300094685684463034886881105193413",
                "5370103770755114862902128728797754351",
                "61336067096484634200373653118018360849",
                "333505027501199088574586615719983551735",
                "261629805385543432707308929487417891569",
                "282101704914283985201157015950713535114",
                "232094750697113335447098532431220476474",
                "329368223391701201421449869357805280197",
                "112981021068302469837938147494398412074",
                "2405157404396270582374662682372389489",
                "157038317708246228711881582468579168868",
                "125903694830251776493328870171679133699",
                "220288305278343812854382326758595921242",
                "316306315759789664103438282213646812954",
                "82871733809590498311434949334810008332",
                "56603612817208786143266364646304152155",
                "194623021345348748380504249476869116096",
                "137537120637883243733226233798278073906",
                "233655386347465144244550297281967149977",
                "332030754183063694842965701648022842544",
                "266656781288627054902572349274403664427",
                "115833464844635361003706883896266504771",
                "45133740161706883463561327418674264466",
                "217931391247075583948851269057204085248",
                "124763660129758511609820902690099537027",
                "245130606108100906362364361727614415027",
                "157457793270843364471281936077365852441",
                "189145127392053568879992318146230372209",
                "214650920549102065445643024861323657234",
                "207534473837493008521548572520407773583",
                "29451123889809339248795632530138302496",
                "5494666180189558781550148945547835401",
                "255567982464503936663154363494829488906",
                "281464959542790336116898995159600160139",
                "38959105797109495155258266208709879475",
                "20133589274516177061268824260132074479",
                "332733044300061616226528528222696828225",
                "162636616259403005264593217682893859285",
                "75635791395786101833707281068068154439",
                "221864359588930020969231216243117389932",
                "255280013199937305895007399700258369246",
                "161762403980317093363044258185805026469",
                "38694145021932114478523922060598114013",
                "237542921118033996773491355206717923586",
                "217685247609105131755382974743493777093",
                "152155833475632556880025176984010099056",
                "99446184037011395221849766183427353999",
                "76189350064945688129935555821138565474",
                "61125036131566435072751388717570559186",
                "195612859375541351586140028374891643244",
                "87209996073433668867318287899121500739",
                "197438760306845485927401752078694057720",
                "52541074161919489288554049785610397839",
                "266444746283551210496606920488654522480",
                "8001653607242662989051776322981932157",
                "8947346731218645332389561838381060182",
                "293010992097618789249128866825960519067",
                "198819141915660219688337739129164119028",
                "75221838546994374098889311796139084622",
                "275955811972256632989958120959320825966",
                "202118264382579360587704430593712344722",
                "255209312773207071980187239020015009163",
                "248935995324917307626752450126505286149",
                "225359576362662632833029470291899117894",
                "136379073013267370019212475404746245420",
                "23606772238154474825879420430484072607",
                "260968181193694753211276366398518302649",
                "258313088301727114840314928604108818264",
                "292432517872258087992448579553804459743",
                "35838852915167671110256144402440175922",
                "257543485045164635672551880649103991174",
                "34357333395702727017304280501873033385",
                "228817153358748743750619373760911525426",
                "120310500675511370920872490710851666952",
                "280431834076860656004068563018006930283",
                "319939847398418409857718966136125092818",
                "138077499621708429416138470916408253997",
                "906109253548338455002479406582244010",
                "95733457506695776744931230609548430296",
                "315688840006987300615422101514359084478",
                "319873742227142818379167384301464951532",
                "159046890944269427374105186568419887538",
                "336555528929062223028889418612048114870",
                "135026210111180284769733111402647354751",
                "38984032799773984752865891203292694865",
                "270736549629112826754788438388356627679",
                "273920016509816010511789939913649144347",
                "10945105073858523278301771279043630009",
                "261587498580184261377409783087200717737",
                "274884657383098905377034744059586589183",
                "195229846740557594008332123526185388894",
                "295100383845017125306528091015131715005",
                "194749960525300665769038301441527465111",
                "154596911322524557228517612322075773886",
                "114952280337708209633996458382585988601",
                "338152445551568917522481501674238879802",
                "231271737844479670083746296072238623350",
                "233076082162696700206904912529889961130",
                "232404451369302951441833151514876665361",
                "156538530907950764801405901058685243354",
                "110885223410392989618866988377316181240",
                "329382688185060873840535920143797371001",
                "304537930596529560505481804441243963845",
                "199157451665632350116291084606463785662",
                "34589626594904706114703175446308975360",
                "109177384403822863756833000104976562831",
                "147579171218466927699502668364552567717",
                "143035475187414110720801811687625582791",
                "121822278442492836071025157550288191635",
                "115167162396114536114339168858070326595",
                "77966931617839748497043518443938760968",
                "331004741015952247923727031231742749599",
                "188947924555121865010197985512923824561",
                "276747844209064546593041737859559396557",
                "98298026532484500042897343962979556478",
                "122447995152686720068004972565703571242",
                "264883407489408387245691498411089862134",
                "5159677279449646709199288881575385353",
                "193016427771216315599631996553950165965",
                "300507295208504582450464536092344237933",
                "37575868354618007256849360506383153726",
                "230654031896231009849013144395353427167",
                "154467306585157460837564440599467908410",
                "9638670147027673198574661381747673892",
                "47186692900093292071664475742792371884",
                "214246445295864427726595706462643587389",
                "15051550547204393000234115805956671511",
                "121099723552040222680189081818289547706",
                "256779506370719528537728420334193111605",
                "108254261282115880620887380686116022899",
                "20494867953992388073851583010849033235",
                "215407702791109327745848267099807964680",
                "62725463352193479443678445113561800716",
                "99147749563819941380701078595514303311",
                "36597604807277680030904553266030797478",
                "335791629797645065816612358751831859402",
                "302607992160202836675325509067248294433",
                "326676510339251142597351853834426021345",
                "20396710948578005023657140355062168745",
                "207984871748610466341327798069113338165",
                "36667914011839660404155231387369121236",
                "116602595701924199625094990864769157196",
                "4694319650471231669761994509333021564",
                "331350346129514309473235218720562887531",
                "277778941848446731391584021830696099737",
                "9668524172880864332245123463041748540",
                "55510237896884420957209324855577188768",
                "219614130398013070306819309657893911007",
                "302822770130443169129318550693768871366",
                "245525800855093371779213700933747586538",
                "138646067051974068285830868322312709663",
                "136518979692355444280106504900915042314",
                "135027212820653704916205443678976801349",
                "116325886160715155932928486929218616099",
                "316050097081836117051341316630172361134",
                "278950419628665657080712885973583907888",
                "56770168694353058751338385158148531173",
                "80855159696243028404091257988429930085",
                "138500259993348282851900855789884825720",
                "194805718003724238571695513709267704681",
                "33459240813514398691419535722348001780",
                "30499090373423969560803367903341617973",
                "227274712147848918700074023765234557253",
                "310677000367720382428255364988264107672",
                "315902054352940486522942628841200584996",
                "205621756668799563138044947503365731308",
                "194077367093528914532959732091403571119",
                "82682530117037250209731985867469521947",
                "159078330253613792961319126606310384049",
                "311162233180899443204990577907939178023",
                "266409083776561652788539072873789711572",
                "105136952211248171988187526714332377080",
                "312193062691745049679046795279588519633",
                "48187265059456880159678327315668412340",
                "21279360051248605772657585397966361036",
                "256708831228757470643621886022249307818",
                "215512265731108598307738010526065905539",
                "287394332867558879203090436223568224227",
                "43573541376585170155033331312575161878",
                "158768761075851549687170400843737348267",
                "129674425967546580775226155439862376127",
                "206230903767243973530395818575618201780",
                "82560183884143441357510629484807624602",
                "234136450440228427521940197410242742723",
                "79284947349954611621210066296146038697",
                "214201428333107523971580077640002160707",
                "183934778703973603995647175478199864849",
                "113139583443359323256148687538122051274",
                "127116785822702279556636995701909281727",
                "63776437289636972393038906940439106711",
                "126210191807145142618939415514989043840",
                "258708211094257269232736103423761091703",
                "139650776880688249198110039999633007208",
                "325030638915801634404742473936558536443",
                "114398680651040023540232316178303021221",
                "79684944690474261181988212184867355639",
                "315248652657935192635902217217212534876",
                "231460679050023841206381864509182691681",
                "18739052896341120152195250824090568905",
                "97514195444649744982325251622727886048",
                "22350989304868747014083129264088053397",
                "279211104120098305146534791595489638902",
                "169621471863244538269671538360067648640",
                "101231576686309229150343071278505635599",
                "292344099236957664360433335684614392061",
                "34025611134219194392532400825608118284",
                "50389119164276448272832909328059019687",
                "101693142927043954265087914234737636076",
                "71236921910254168772209864492566115613",
                "307847554208208466045786763995551297413",
                "13856558583470985169958205806245480895",
                "90821882034565650401788258172858458603",
                "134335140973385744197780150011247869722",
                "219834438510073754068273234392998356076",
                "264070008659603951544502436074229033690",
                "190034303853684014552274753393463979264",
                "83352857996605573801638524736771114522",
                "218111403904467915926220558033635775486",
                "193265321443195705541311764671732960791",
                "108026375897060054512188107612635021845",
                "113376928917394425118239051786061913901",
                "84557168646855668768868671210458067472",
                "208381016281495717502497126965219016894",
                "150177820018301238333718190582741877544",
                "170737729846356690845873492810165880858",
                "329314791026503269311731093971582772408",
                "241639135120089294774730603548231447119",
                "105042426771689983550417343632218284225",
                "184836113194397776227225619740093150363",
                "281206528425094175488085953205428145081",
                "131645673903655614558426907422425811138",
                "36458432550838290979693624599468099308",
                "158725379202976320087416757554113449956",
                "271812071688480494689309894508637917853",
                "28001529513918065247327041773488094130",
                "133426898707352459939363503918448507607",
                "217052301716019334157865863056143970100",
                "328912829878440284959902735754971928568",
                "306593840392661391732827942604842530736",
                "295742632339727809833627544891319575320",
                "139802020874076228787644548864283151545",
                "243677536046361311384713820979479472969",
                "211299278130238255584128291330229726003",
                "323828476482918007376532053100540173105",
                "338620663611691289458841101244733807584",
                "211317386011978924140480772107481349217",
                "112284823315811767322587651028902337632",
                "98399728092649077371954371299720676390",
                "219552238076167026212490590231274320531",
                "90320203571027633231391308824006093497",
                "89837603344388759169118040106130872784",
                "331194669359186584444742285902421887607",
                "173677108496275133738893333393542332089",
                "130319391268873956343638135342669492551",
                "121873424426775904761332320327488024734",
                "165307922727453395805024541622907051014",
                "309595218836841706642666315865433451408",
                "324344592147346567255346488381304233763",
                "321921527133969857493328662152764037114",
                "47508034353339109325515526025099526982",
                "105829426981370550494631228598786451538",
                "307585199248561966697909179689098327353",
                "323951868571670074557235262804985509358",
                "319783706034054166036128792580930298500",
                "223235447289057081193858092763259677239",
                "110365241629155284669003934342603877044",
                "131956193487296215973511838781573626150",
                "298705397356877457371602752702730561263",
                "117134961760983073516964251452043574241",
                "287636674402332388851613130494928357792",
                "55153908573740802964903048328989877005",
                "301045414098080201754782223125561217030",
                "83538113543041348312601955382298158034",
                "152170861781428694176463904859203278649",
                "24839342505350961261719208496442138214",
                "260010717686366528145739304621954891744",
                "128131233940626201455928985423211808289",
                "51569315685217526253302672446416117699",
                "196720548556297010340639075940047198327",
                "77968548532589977330982104231881111921",
                "156497143405186985248296659356784239552",
                "96624253779905147802367786264708694957",
                "242766321565856243521125970757509222014",
                "188145130856392767366968864205263494638",
                "60034405713903383631261655985744155627",
                "94006776994675711181142245189624230050",
                "257802456957573330101606490183483453695",
                "287654278797986827640752525236004222562",
                "62991924047478126106026221052729313189",
                "70651499212486827153857669659049730968",
                "317969955000905339838822291020443464757",
                "21999993503699942305239563872802786474",
                "227597599066266914890617820622447271727",
                "206767856698555002143591201031702285070",
                "43458901184128892694065386109614519631",
                "211886469142047063545067814843852445753",
                "219972066993017601076279222820507523299",
                "322444853134770684779722510588251898403",
                "28284233030985165945846331015748064308",
                "138780052087439233660411814325291500027",
                "339355007179956134054578680117230124951",
                "20257707941904524351686822315566953966",
                "34021497045916940718846469597741432827",
                "311921918280036147557310980490891254981",
                "135134833630748552024980498088055126046",
                "190062726453097237089035432820949529875",
                "165289762308882993831852840976823961845",
                "286819890754897942939526391697264796916",
                "170517738065012694800907810001942359108",
                "190788928670223418706697738389393935177",
                "309461890211574434784352146811299681763",
                "252018389071118307006281753931585661137",
                "178957717425110093603440516720708469926",
                "77292201331544845078272980696067426518",
                "215421510203941075991397741223741872497",
                "273362591587951442936321130674998756091",
                "164159688468545947797574087631477496839",
                "105094752884522659675436404208888271176",
                "128974867982520044097907861061703094789",
                "90815228687640276392002780873767490025",
                "309897129875825467403819863553298089510",
                "41721668823157901719163346264288289051",
                "210185210796630268804559870012889438319",
                "132637800857310855320075298579162503576",
                "196892489581272620587990532496422921217",
                "59782860062010757718393956161433931534",
                "326680921613582706855681311088109161820",
                "106401389570595908920494197549317576402",
                "199313391089586445985897610346344730910",
                "108765744688185217071053403251833094857",
                "68460079305049268113394814183060582035",
                "158554750899971416098903675915608607872",
                "170081446327767277959791643548107988565",
                "290455745740509552980267361233122715741",
                "91523274950431004425671619834891518479",
                "218739640599155365832435050613357444283",
                "275725194348724500913351915370018236217",
                "243095829628007401894689482546233545248",
                "257662009906684656868278849850603806350",
                "291236118163484035404995075421708780945",
                "167878789218074012903159662769783726333",
                "122661490900968635659024606847929425547",
                "17957541862032288008713752419061549885",
                "245441804786917598761562362018156801672",
                "155352570412174438496346944740406067810",
                "290299166610366275381281882050737828001",
                "317955114728040524192537150852653108784",
                "18283393012094196429482248219423205376",
                "135935330240607209272182976028508874337",
                "155734055041902575186016442053926483403",
                "45547164523950569299965209946738541361",
                "99591367117919145768766463005372447103",
                "20894551626278368517067927324194119977",
                "44432100051450886093655316427536096546",
                "255747659677231698245052479931727385861",
                "406731765512954155880989832975852011",
                "231863092788272319421186454827875119611",
                "188590986097414926085002678964317977315",
                "250334212112887665311861381904878859807",
                "309100598690307411719288058360626702389",
                "197030573900163792742712303434332902144",
                "269309605796063169663474101946021104872",
                "51644184685533380692599744160976496930",
                "261885925121794412443819213912281321753",
                "321072677080754496272121588895805866452",
                "332466386035686468758469296779541686564",
                "216399629060092543754846976537644289402",
                "143504717104542099271805135409571443149",
                "212437239560210607502780223814020938015",
                "127871020369707273300756284137478199351",
                "121302449393779093141469926257379611051",
                "11566308932647009908145502184836815307",
                "23705614488501037090933651171720235958",
                "221419596000392224274165932988859638289",
                "80357262764450621355813020568513210535",
                "336650966336375802517816808701184580909",
                "111036498184647660618634727945957637560",
                "224550817314551524427466580186014612342",
                "277406422949103151439445608092259930929",
                "16614023689733561313896542395270097081",
                "155743440055731711078244879428513149311",
                "89037981630137393650348890220800736915",
                "2331602024939904265248024555399707194",
                "126312468585525926705413376271503812930",
                "80288617528484766369160949357351133164",
                "160442640335293959867646329461594707152",
                "285912412858882836907791201228295707684",
                "70421255093174423057716630110611792895",
                "337007140439312744085038461037317831751",
                "316705090804293294731965937720692508431",
                "250097677933494345973891044968977044425",
                "197535105427285818958992657157623870295",
                "285575471656131188428682749124999795960",
                "81243027209738828907940736231040588096",
                "275795674855810694674890672802348058385",
                "307863124993906505417616922066856290390",
                "257398499195454982876522949800926528868",
                "85479706154504385099565055523659016190",
                "304816525308738996766017633035299401544",
                "131422240153901961622801999874186365137",
                "244862944997455676408536610515257164232",
                "4445079580707226172175403689274400484",
                "109429487686466326835137615087866479327",
                "46864286702670454818015803658178337430",
                "107609205212640031984909103453688129949",
                "177198021929967427049757567153979989502",
                "73594638475807521941371669243264005063",
                "165374645483258583201643749179075604614",
                "302219204331329134871344095394428218550",
                "180234147140433129575493273976464080082",
                "67190411329145924473430866259737124517",
                "4549676169161706357469852788221326592",
                "280071240574836045160411309858032547788",
                "109050738621968261818230628937744802040",
                "185737334726873686676888836009995048338",
                "270331543755520837260189684430722668981",
                "241879500098855779768004976948438505027",
                "285521599787622553381488459087573291332",
                "62160152585681688987053378783440046723",
                "182756081016452381353975230448460601573",
                "264125298698450723949112159167815009490",
                "336843595850127034851536593404023562240",
                "94490429719861321173589902592894809635",
                "145450389945226520263346264520846784190",
                "52094576957427067275652643388437955542",
                "119042152891255004362626426465474296695",
                "70043206499599003406110194159004989715",
                "64267910813591937874661651996046169118",
                "139893116856765995159548962529265430252",
                "54693881074868518803409168450859577897",
                "28982610984683106244784632992419022880",
                "239369083335362774771820943934444006308",
                "20884539572671572632796106430150614808",
                "59331153870900576421086810712670593006",
                "234104085576061062667461081899195126249",
                "153002261019630909618961503792324379165",
                "76884210125132259732301827421693022276",
                "209896391877529916008129064795766408266",
                "22117575966348753753547662606719024028",
                "120693642057027388353494096573097254228",
                "264492196414985889343526864858910205690",
                "339532399869176162261471059961718935953",
                "316792492487470448025696421444119521030",
                "33371834197942299802978119135729007522",
                "219623416549881445386885106567036700729",
                "141128688757096089411696196679318623786",
                "238205580020390721520061899329090822486",
                "214504362185261442075317979156786583519",
                "260495879103091853868449854665166149512",
                "320908091628904393857763209660777951033",
                "36337977320995612947492663937664455024",
                "218173390742882688512203806813116193952",
                "78108372547838115887417254087089802038",
                "144683678097086823940761535182000390800",
                "67578766433757900385867521012451647947",
                "131987490000249190594152184788398339029",
                "153882047530147157865696968850757375526",
                "114352577087415394490603455789072205590",
                "268927477452118530979738453721647319454",
                "189848884789191046802429206101061481545",
                "129372555042213371956856408100700023534",
                "259813349843655524642529206786353099827",
                "112149719544072843370451708388543098025",
                "233870317336431676779342619482350738935",
                "126600937386682025378559828559357439259",
                "259732262084182657230003660600579501165",
                "130523329700729444841383208679069444269",
                "325154029175475564467908472953577868063",
                "157387119074415768812889901865617712589",
                "195328134806694497867891580498826036963",
                "123180248739433464646476827545417755294",
                "312132733393289923412321363539224406911",
                "104501489836271801114914266980556848247",
                "307593958403372267354147595293789658285",
                "35489602064579754117886733840628657103",
                "33667695348139571969167434626921212662",
                "97515384727838495465140695373672052615",
                "203063940709442466398706711445372991772",
                "229275342228348319351302415361237756414",
                "150029511737123344017623787863879360399",
                "10400299026099751398724955572043562882",
                "18418156103050648156870537303961095446",
                "28150744747308706645107091231305781667",
                "272908344836891332227133887079040212204",
                "287168398395217194771889467109620123856",
                "191334292376752345837711059926902590765",
                "206012254269275567574184828670189173043",
                "278301719339755254053848038090494274053",
                "31759401805755047512929156053596784374",
                "211652674337545103586971165206514705431",
                "112538405907105700621618785283757464524",
                "300313569444088020750683773052797790307",
                "46682851817752848119460779547501583092",
                "9982299217105533070945573081081788610",
                "157998699169309650311959868865856851298",
                "43012698110756365088540265767232329453",
                "335217559543688812037554329161131627104",
                "39511961418475745471032606277885370849",
                "246377090252370504410244697954145134455",
                "90763241948376702152456647964809649078",
                "319957974913497890861777751334726366370",
                "140195700775954552743641415797588955024",
                "84360853800316042595027917804316635048",
                "4933230423664667482524600849350660083",
                "296032491275385087401817058671326744478",
                "103297897333174999212642838422777891511",
                "127103121262150300271129113232305369554",
                "36456739795852263163194505126054541743",
                "133044548989418222752903400982614752972",
                "104765584278411609872854249621088754567",
                "265787469818356409737964610606152678025",
                "338637687215348381044684161769410055986",
                "338923853764297205914385327443759251027",
                "208467944632766033760454714037647543578",
                "270260923875720865947758923293212423185",
                "179582773288417348098566369531897729070",
                "132799361147863385412135377723116559252",
                "276415081968097909256006977293293966855",
                "66643704047162694755242124149382504293",
                "69363839966859884451804172844844598902",
                "298234009327216975635212793937188607794",
                "255415015893186561609602793517292572316",
                "157147181533423492637964196421292377669",
                "188633223061301924242038777823041083918",
                "275702381549973528557319959364503431992",
                "4406981923766205263210845253253417419",
                "199646072641589765140515916993906705907",
                "313391947927817966587778060167900654348",
                "268026476512187010642027031273930306855",
                "221136392454183496723521700693039122109",
                "265089547199719788092163908687333934646",
                "319392161490268876642643188141508230180",
                "76624268563663542631379095200713410774",
                "176178756159314605740802622343559012366",
                "295096465921744309011466879911642082230",
                "314845681742107410473299646720748007190",
                "150335612202745996825936666235171221545",
                "330968974081199466777233716395423484558",
                "158908966454004591072854481589563127876",
                "69304664956286584490016694955413244568",
                "11421259768450017266933646892045806057",
                "237358156784014455049854242335947541845",
                "30521250504912271545777663138459279394",
                "231113644472044407557397265909981723558",
                "281139786864477622079497202213958035816",
                "195376596165206219458884454483469070738",
                "273123931493039479234966805944690710299",
                "230644581204252220652379611174966378415",
                "91547035512564592196293773684189018687",
                "85114303262008007809615025957741881544",
                "41465964936141157161387708770239531650",
                "90951848838425098893434204085757547116",
                "185668945015352442328984479224614581709",
                "278224509101679720341577252471096243441",
                "196245694198943045685732690484231397391",
                "188346365026954236334491567659598858677",
                "304140678520526934654694431038861217298",
                "83895032059522854856410951039438189000",
                "326497950600737193760103136962762605782",
                "236034085244264808472409111118541548137",
                "150186212035887685701567413885196548544",
                "161967262554028458490344877407208967986",
                "323470295360602704268832785116139940826",
                "13172481822840143253764343407413013725",
                "230969902630923126963038529055926447779",
                "31752614712152368781595512376808440181",
                "278285169988221516720548244419595272679",
                "320478088150088287724500435710286956990",
                "207583129611882902025706343402734859020",
                "288470897862356891343997005460771826172",
                "310121646004371400583651101796174489545",
                "334142852522259896859965071379090267441",
                "205187728002186389671493246318778946694",
                "119570730016862971682921595290862055261",
                "190961705725213462070903617956242653932",
                "191054642345022010170057357794066268405",
                "51956186193741179873037607598887808652",
                "17306382090360440768015938096339485740",
                "162951028264341533871018953067403299825",
                "329992678795828050920955157328392682566",
                "154383498280491830211137278084152948680",
                "8810675587050734222548468827670578186",
                "155141090923392958173178609480904164394",
                "314920296578471979679071686278080321769",
                "229714077426138740031729647189034099533",
                "35515091940049524230647429757581276775",
                "237822184309946240367887484376269474803",
                "240306801857012213310027886028044615075",
                "184430301018891694405216015860642803447",
                "21309015117506650111879815121194853396",
                "277876700131008809342920255509601532176",
                "93364330793719285605629260339902161926",
                "27189604737209197891684629060123542329",
                "198745655286621190307424233468070322670",
                "221970654421799084823703773905097455398",
                "170697783577278175227437335643978454671",
                "247379833584255951872668576011949819211",
                "328887624833295512677949467959812287275",
                "236896564438431163594029769306467199495",
                "261553240953729675962644086412682260645",
                "159420334768991052359231534995079021381",
                "15354927648770770926242425849021496666",
                "177220080175132539380051255920527980272",
                "110296457951459860878330563184532284727",
                "81723510720146092453275842816469842968",
                "75858761572745685250399190115061413694",
                "66882117993290116978480250991200644480",
                "152636663921792017686275052593484054182",
                "90724940126484233502189771574827405329",
                "179952719442357853215050175183610428409",
                "181618539151581270439292475713287903763",
                "174562518399902973760513031552739988573",
                "69222293156664025227990976001765315525",
                "41595393651830627980851141554814036637",
                "153558351247071862911982721459075330816",
                "248860921064865464168678120461535569036",
                "115257465863448972335904991529590200501",
                "52880818243954587546727045128464576301",
                "138352514872873120094770160199111843259",
                "265745279492354928597374819870313019281",
                "221476473987124624219007148054614044929",
                "115227553594990775494658673824305747211",
                "71526096281153484314371450856277154708",
                "219847898436069956452568344736366121703",
                "14915059452509039737241764593227186039",
                "122409358279154486412274820800405562901",
                "74261640563095394272708700715252225949",
                "92356631285932756031985610487387828803",
                "236887011768291872334031450641884228362",
                "59277627854029122948932406805522804059",
                "117709499464651544974182786542264808260",
                "44708821024475136682381303854555942564",
                "308097722248040578540919290207161759188",
                "22737009822115581485804788393716488829",
                "181852871216102087617171195979078398740",
                "280482098504818040747411148348416808054",
                "235086583913356114904080175433661315104",
                "129312153331411134660185386211299733024",
                "165256734032170133717569346463131846956",
                "236844163887781426711609775725623711604",
                "179100530150108074366753180889003997086",
                "179610631348599733929911671375764389274",
                "66362743349598314960291706708967143800",
                "39565487615852232633358912055888703887",
                "221830943841378889623349430321737910724",
                "126366672992986326505014209397575320638",
                "190507455379657156400907727997231389562",
                "311142041659287529813922327341264637530",
                "185840352631073281377936054455428608956",
                "144796017314932087381246707867473056651",
                "78078554416373080992987185173262883720",
                "211254036205000454418977218289902614506",
                "289588321074058883831018211547928741827",
                "329266034087031243909034770233081519099",
                "330901414272139384322391796635575801801",
                "208905523727165217976571739223051436094",
                "165116316055592476612665340931732937320",
                "150204302816351562604080268393050967727",
                "231169839976508188121643546766706213042",
                "3525580796639741627467237575842429182",
                "174805010949463196289494170380608121111",
                "167891608805173086817324394737360579449",
                "227925916333796570212823652085470266912",
                "222956454309652970135527770459881632295",
                "134629981037466064773226919359809127107",
                "289508867629023677156573067512403052383",
                "211230268748184764316598417944731438204",
                "239696087618364650842480281836565767460",
                "196890460921357805254364374587012366279",
                "296618353529028661378409477605165850671",
                "157812293800362448740214553129799781520",
                "228732295535102193853794950762209564767",
                "317103471319205567059054320850395922247",
                "260335436901780140911684944337190837524",
                "228263985564701356078516605388531529571",
                "228704605264774814731604084214670531822",
                "11312484806634820533600819920265620020",
                "190939422060757510443995414794970926391",
                "46400373237489807984803849681132021338",
                "103656467852502887878372617998794610911",
                "22647868581116205749694108149929079808",
                "243827688507101769064741356221267749686",
                "311496317234609099096861724970563998198",
                "180413058791681345980505291072721846762",
                "156926335854025432994325304431332366143",
                "155702448268882058561226813329803591147",
                "305454189707346105604281881338007328974",
                "289693031879357820479979361449230789660",
                "269742229172771532028897235977141900185",
                "86796709753207855820275534953500252436",
                "312223148585239800830891392184720777909",
                "299126862171011226712861863104998159741",
                "80973753451023125223254081781368330040",
                "103063916316250366141000939005115309242",
                "225192715101896494339623051503659217082",
                "118666263074880085733225394405976617717",
                "290263366854551924844222651817170132903",
                "208078354026489926126349232874171498970",
                "333672841045788226524863000718820577566",
                "182454492989620749790906797214692804656",
                "146623322928496765473855268480783248972",
                "101070243652207398528489773969708703807",
                "294304353645838005501667753262623225547",
                "329976763628772419715331496412733389521",
                "294622667760823939107761665809427906817",
                "202853778214908714275749731836123292010",
                "200848542780787399734299526132075395301",
                "5298905381514044341233860566535361425",
                "144922003288269533816982796532104242582",
                "299046966662113115033890970045814022917",
                "317189982872902409079507049929875105194",
                "126927924534101213157274964530749814659",
                "153808000352163334879661046936075744944",
                "166256478875697746101798159183295289570",
                "206271112450552415018102653756061267494",
                "110078407442528079757909599026323302539",
                "109268716345381872184156559592735347299",
                "9853445447467014125652275866914574674",
                "37617285648408301310102066947442759850",
                "315196644577282122421963128149316030500",
                "90488620925644560151716667105592110878",
                "261586913140644361373108202289830211757",
                "245158049371990860273958592563239525722",
                "114644471277341908354294773750841449471",
                "4194072429023639417962672076369573460",
                "236103940616694295158936422722019745823",
                "182388471830912305786113348043089763235",
                "183647369608262690816386610433165147844",
                "15412806313482741181870331228620287325",
                "299238301426817753725772987709251174363",
                "335931408056998845470597556222288385249",
                "171879323052887375221861048918550445438",
                "186647387613101397966356358202887350461",
                "278441348398628068042073127759845574397",
                "170835133944663332700008467548093141056",
                "212001403247934951804984291303105198921",
                "62489298535939220035299253891102304112",
                "242820532949645612749076759139174717840",
                "83645781903521428186767716354785934512",
                "310249303399624079589638930704230019557",
                "78194376580118594834918246383507495080",
                "111157581078111005079030433138270364018",
                "305416882100879783362702798811054803413",
                "61102970063886285970849930437529791726",
                "139178832896939456894460667180350431221",
                "161098779219284817862357773040099033846",
                "72850246042459064281591753854972165429",
                "310713910785547670418258593214946444813",
                "88197870524284322036794417256991582034",
                "332445332787528646659871520851686706958",
                "128880593374308629479759304093359620227",
                "80519060725580946213145641843224969517",
                "9856454084202705010377284909639248504",
                "199075331500424556274708276613336755111",
                "196262204223184798031273742710982778394",
                "190235040806465442049305290476336790139",
                "212908401644122251721452697531959775120",
                "339317752216451982325804297627140792423",
                "321979457101378817754722419724504602651",
                "110364626013122227529497512098544493198",
                "75361205322404327230808195648493596435",
                "148320728890355237284141901615932694481",
                "8020504737175640980049579589501481401",
                "16448116293785129038747100648697765826",
                "264620024626649675002393578367489090342",
                "246159247790011485680619293391756016761",
                "315650646226280427962948777716639315873",
                "271690831314967156007513995355968241146",
                "331200786268680707351554008473515143024",
                "311971222166394080565118591422423098408",
                "62167852790215751192524632045989413813",
                "10255536390039647439829134756397339124",
                "68233491445358926017587232210327530568",
                "39846969970490111798075544452761841389",
                "7549298867321351336365539797173673296",
                "270391578281398953962897801585779573427",
                "275127508327380193085782864971264791193",
                "31693478752403466669282048696805524468",
                "124681797773453518270246048795250801159",
                "202167935574833013767692653112910721992",
                "62483836400308003977986953068270733061",
                "328382406256447938605686805879842215803",
                "304963680112328601772028620056714629669",
                "163783888039786288403315323096790413304",
                "227666274322563812232916127437905463571",
                "263529371747965096601259416939273546967",
                "81052614955227552208453448227118572801",
                "263118523100339743587519660641372017503",
                "268682147738661257248356137561084538625",
                "46939358042493865311034841850940882806",
                "284859447558120417447054105580651963337",
                "118890301946202360558185855300960956323",
                "142180031994956682221360196806929696100",
                "11234027494866025463945685273294814743",
                "289492494352808196257171057325829968898",
                "197305351235822138624536805213081156792",
                "59573817198073608508370531058617880317",
                "281104009688010960597179813873497640092",
                "92196007011636760828628579056465786192",
                "254644917744961409365405424500831839864",
                "247398835702419938658951505159833879874",
                "79565994808841845970016724426541543881",
                "10748500878172985667355513063303514167",
                "751594670416144624144365676145895150",
                "268818986206981154958751065655320867454",
                "194620215195262994064937522117088987275",
                "18312762721315831405135634780493057955",
                "115956008159248694786988963921115801791",
                "267059749398911150472595531125358543021",
                "66912828260919478772452612288262604873",
                "120364041209688511245782174669636445309",
                "78545346718306115826476948648473684612",
                "244583051816481299489282762330101429301",
                "60265869130098614131933198840188497343",
                "182760804980805367237072038408604855153",
                "170290383483874779758807501750467979618",
                "142610093679475190618395581433001264",
                "226413454558642051256750172916725902402",
                "26043607172662428118115992796424596683",
                "295899742488574002197823754169777150560",
                "5875426520953745521440704636243783693",
                "207383335160268366486849867775744453417",
                "170831868141398240698687322218659538924",
                "315171371095851946179022440453312404055",
                "190172734520845725675356143805846992831",
                "284877872671911802282894183747587655653",
                "283062806774945223768443005642355120219",
                "281673778925329008919271883789386394371",
                "165602354002825173962839879605263040369",
                "164776993963303432367815405195278734383",
                "9861196404468773540882813812984600204",
                "13314077741957723962446006192589302601",
                "148965388690697820725166778172275275420",
                "174368824050518684395356585952128449597",
                "301503271179264115588417430081382569677",
                "219460613254394364433230534082432160349",
                "87522515029505458154220849132768785799",
                "56106525425186900878348751759783914265",
                "201981630091397948174262406333274661531",
                "234491567781368469460953929180714955590",
                "185366620749655704407753618667924623356",
                "108628695359063875974437478600766408842",
                "31689747700576963985688460693193135951",
                "262330502121831732022067608619822948978",
                "24927425496148128476174006240053034245",
                "291367475095870691550195236693509637605",
                "6228817839152120269242458288467824682",
                "330120754987906947012946375761834874165",
                "262360145771647984385817906664620616700",
                "324934117918476915147895580646891379266",
                "125384598088535793380387006381974481467",
                "29514446096146353786043546930832411264",
                "53601225239918623381141572932838025324",
                "133433273555802439424843594518273988944",
                "3946906738480045078779285694340775761",
                "13029264468915058952781255964019873674",
                "211890203360035323865883420399561612915",
                "70380245597275471069796112671437358095",
                "304113845238712096490480339579868015943",
                "339111533837793632128037960043718623920",
                "97650305551076054456493281812931118407",
                "280114938006073507947112027786587478210",
                "53739148954847111785806806247691602444",
                "136551351440345928481161993781363488867",
                "299697832060401147778863617095766484864",
                "22784167395037324552684011456594603366",
                "307283373234503081157923594919679992140",
                "116740587822704722409671165160664899671",
                "258860245997701827333211211881205161353",
                "112298422906537030563464930906232682726",
                "22272718592025676402251694469309406397",
                "273121924668678137126658570896513984478",
                "317681956157263880033589058137048563656",
                "127137240822146499268106600640751285956",
                "185923744241776377203594027140975854664",
                "195104725617155019911193750393478208273",
                "232014058462534970480503481866702657084",
                "255859584460842612603102393002345069817",
                "166066271512858440299805751599519397339",
                "174686469558585630855700986094809589620",
                "218197602186526614586018415027049279763",
                "240057392005754212612644019947094559997",
                "169042371412497743267093872904384454062",
                "197860759736710733555691081737598018650",
                "106574190872652762087522072897916213960",
                "149006327750117485173061924978282260884",
                "334960709305033666994481497673036367333",
                "126942438687532284686988204510479324514",
                "303053695983583513900801106983785036733",
                "302559490474636121559704251155195183305",
                "265024894211298889756605939426821910799",
                "221089060046726301941860483492644830945",
                "184945740457151066687216256706472715643",
                "243727924454826300667502829557002003659",
                "154648166501565061151466584176912935538",
                "277201421560666543719733305473898065124",
                "325573699737432503602360152851408228536",
                "288095350273843599547148323766770754054",
                "78289584249720386471542202168163877663",
                "255031466408710882262622173384106057776",
                "226146002965045525168635993044030485823",
                "215222062735515164319102292279722474771",
                "154157693929801616906157051949748408182",
                "73758651930240375999770278629384956850",
                "263794172393005643010183610103359458427",
                "335671067797704899307454062814407141625",
                "315918574482568764029582803403316182829",
                "67301462439996400210143130850204370462",
                "102024169520421411684479410348610577499",
                "77579874746296066084609629448272630379",
                "100249637166098959832017981930391353855",
                "212321270900282837875982981500691636417",
                "295737172705330272588388067434689123877",
                "335512311346518738536315920399719108328",
                "192109611999233620687754104411206803864",
                "16018283544254384033284739234739617269",
                "338361456681470840701809412555342760477",
                "259204191865553204539426086327110408058",
                "148962857616845888939365463105173633933",
                "67168167833127314619479762309488976332",
                "197132318519736002036031960130560550794",
                "302241571367812353343278735971384697074",
                "137300761186970709486943619228471089311",
                "197719716920124674425501677298545062056",
                "3601865969415030510387051383967511383",
                "326253487463619547545034230867253895329",
                "196422687870035438984591247069075865292",
                "233256817415067619894197263581711709181",
                "26642932470699754651260586310290554254",
                "272988877446675588679284334797246052046",
                "53231948857293436651467532363590732186",
                "72067131901347475748965325319145170288",
                "220164222375465469406084676445915904833",
                "303371953850303292955143179878995079622",
                "245980685500423729267739739049299674070",
                "62257743469427552200889146032987234817",
                "123396908342060804823866782571487995983",
                "192582673490497395137917349634192554464",
                "179281942335362647658551738799653318058",
                "60235945926962299685117523694555829086",
                "268715084382883828018833387566344368958",
                "76928966922738120524486009586357263083",
                "255628813994263146886987244644603018421",
                "329100913379298722421476649223867828040",
                "182458982211081632565075320288673862162",
                "24750146015801791006231042806103639082",
                "25981945580087837940307425683225498563",
                "330409319797256656887483033502779486168",
                "255735933716573816752031073887975110705",
                "328681125480755931953714842976736392117",
                "316242446648199533800937879315713155963",
                "111505955434619057850466353717467085464",
                "37635196151560664885996508471326357031",
                "281366664603000086395736230816171437233",
                "128150152948952723304584157813227452318",
                "79624848646874274467594626856719051727",
                "169162493717563031638626747931836136947",
                "188601543052607080076183751298981532365",
                "27570661405453792448216151666022018019",
                "191650311813143823529417606145559889897",
                "253348929186077179418641925509235738",
                "67075025022141693801841842077665088880",
                "182146787709518577071167126470627548251",
                "48152347133430117567104081581228837523",
                "23472994950561383477764904050471064607",
                "39461723941302304299298385877787929408",
                "139765658693292443332338406241297083695",
                "59720130009943781859131120676336835036",
                "296979971116314612057176696998574967713",
                "281027164242975963384425817031368895231",
                "234199109403248774642090563171551731297",
                "228483520817974680595290855241875283817",
                "4271196254425797362387137432352502707",
                "164378403571342994084446249427572600369",
                "8068442937708773869984357752253261796",
                "160578076855045373060228502400465811545",
                "273958322672557711203681787526078820078",
                "172642864873041718473036449828230956377",
                "120499983169401615536819458139777280196",
                "303641332514197695483035934136293863842",
                "172963193004714837945690091800885124967",
                "2303400160536811228496079509169520956",
                "310528030354871015780389742305743031398",
                "279697940638855218602285897856436226994",
                "255865929987907052166521353997144499330",
                "182198731720549051829101397589061679155",
                "267320921917716324681795498686505535064",
                "63804819046842690710318242789976394058",
                "106816002433373172193558030126434714975",
                "249889377997615420949212497141646680835",
                "72334490683919128565914261896170015301",
                "102253761215050604721843984147160075417",
                "105028178527402921883309982693511582881",
                "275727429722443860208876880160290368839",
                "312122597674441728765035768653414827534",
                "258858560849959973007790126735305662401",
                "177679745684285181587869837159909416237",
                "12892391912610483149885430469392879055",
                "159043032720405077978206360865277138023",
                "283175323800275824256376714261248996815",
                "7223237501068613010041265724119271251",
                "55922576103301931535414270249281831381",
                "187217300155747850191484930153840681369",
                "200829615155921078799965293895217342702",
                "292710962330844012433448120477688101046",
                "237603288944151973529878603857266926200",
                "325916394156036404470029715475899982699",
                "98185223669467927664232157588286093184",
                "335275198447316213752866117252661557132",
                "93298147222532979084280398077842895383",
                "6772979298921610351340486197628970092",
                "87066838607509701098219888812640363566",
                "277598498024754706629282476327006721027",
                "44939328224280445261828302104782660166",
                "283927280926356844612747903403930348646",
                "263021100308613050113458352495754364070",
                "190016538727438320143335538221133174064",
                "96346523490674699106469168004953562165",
                "192661621829476645148272421435536924205",
                "257749005568672965755729328430268356416",
                "187630789807420037645133211226771524089",
                "206189008207392375782050027338566718480",
                "272741598444473082765810660535485775861",
                "329579008207386778685603704639279209446",
                "87117742156661804617978839902038022993",
                "50566274276015968889660020912559628063",
                "246532776290811288164098225173587813696",
                "119789726995245869544953388311087818587",
                "5874880673281086348664821907634808057",
                "275232449194125946016792635285752954921",
                "24589934512678364288661765897939021371",
                "228241821442983592249706163787624529968",
                "131960365365511718341962763102542736333",
                "7012681141342033292679524299555183350",
                "156860465570227531668121739870923262520",
                "62123409280159165616215595032873920656",
                "239573011525952661464591579593674923803",
                "37921120653477882034928684772134955781",
                "12744003955192549216420808434262908927",
                "242811912444671809427345710112341279497",
                "15349311434801553951403768657586682387",
                "187561691686792009135804105954491205488",
                "18336347710850905566604269022110558223",
                "54015870604960034644488650108300624903",
                "337167207612619299561243115264970599568",
                "135496714205302454573398154805971892186",
                "159282769165644259589549643693209402226",
                "293495672149092502918124870506691139882",
                "187756537782031940430679264609632149926",
                "36974217535876603891192530283085358153",
                "310575114851431800004776681826580121971",
                "97377484575672838166945533912709751861",
                "125352267140440522806874624812492103113",
                "189053995421255589369856368258109798657",
                "151891705924031185243503340325600683189",
                "283060566310123133785988994147276937806",
                "12696902315654301733092357887382530720",
                "231329849655275956489814085375124370795",
                "19053876175234957934292018307076226745",
                "16888195817133237999206541971241815979",
                "221780339744180735978051279121284484853",
                "164773617293561002882252701984168026192",
                "46852007884637365284624722111347410320",
                "152692846506083858322184894269295879869",
                "164725805454785170991394143932997523240",
                "130361727851987919586210982537874678940",
                "97254987929862328006319986852669896685",
                "336134887689333796011186270333312769316",
                "311040769496094002178875903120244348448",
                "251393196954007438544662577540435749400",
                "112549737801787286400402460888014560194",
                "182020750848950057380024579129971281191",
                "246962072496113235638051968743695322516",
                "181845610213297343269084545126193989283",
                "327310868212420978251969357188548960093",
                "15122469992477536680689066531951889207",
                "192177827936378829658168887851939501169",
                "80076028370812365562936186619017709271",
                "14837906920184019890847471183405692701",
                "39737152831278153988310542583183671478",
                "123694740876051362350378331139055012512",
                "236418708144054236834844958559418361828",
                "303992710888025678763908213183504004286",
                "301882020713591474203773657582075026198",
                "187256677317023803948607868161384893924",
                "174149895469529874162110083229751736841",
                "222533977167373364711734487870303933924",
                "205638353133746106625492382747302593318",
                "82017069824679970506761806761125758892",
                "113407718071572772410117931856860068549",
                "297942216746473987427807376716355930282",
                "278344057092112324912006025688271509463",
                "195245236586778692113001789316682044958",
                "52448729495694689980531334739207179074",
                "20566937582878986742826344604483356244",
                "182696877964603410123532031056146716408",
                "79159901920917851294953186302195068371",
                "218549769602619525786617969055626210024",
                "243231018701205209427199684236938002050",
                "204528692180816883476308940094060911339",
                "183416150814919158641040300445011884793",
                "88834948380696212016830847392041627306",
                "336109919473527745428829516642764924348",
                "306475246988222648530303195548676754000",
                "41122348476127512387221300354535613342",
                "16046150863844379967562427257558302105",
                "98165422430151051542856668530393948983",
                "167302321647122237467024558267148684729",
                "28780165547390245489101975466830740600",
                "109533533832822267037818379366170656441",
                "59469175601169510836376867522247509947",
                "117999481080208096061192679228620004367",
                "310957616595185411093154720051002616021",
                "177870151988735344710171981938771931078",
                "243612974291535249717553368571897919597",
                "228047726683000973927094109819149659634",
                "61554388829972594909022636596875878516",
                "118785087329094843267822300803418538769",
                "101158534657394092416292172951935903918",
                "158321534471011192190420086140810572672",
                "2841251866036309361278899898076242643",
                "105464215291509108319835034608179855916",
                "85120250056149927484405475674516623025",
                "151819025870485039689897854453988782853",
                "207373579879943713999654296200676132735",
                "335726646429412874607382047461370544824",
                "120759766471311570790759543631212144407",
                "198384566743141929556557428672976423636",
                "130560533585929119899376399919458860871",
                "212424652163128755485983758881260944079",
                "9448458354787219145513561639515399514",
                "152324634164618976815871362999585506502",
                "299745530139276683624715349347355394469",
                "131881627490799881091943554343272569949",
                "158009548902436522571870783942884151612",
                "91968786764164851209721362894882542605",
                "180778529457827780870946134420888601575",
                "254605753252495635018832862369508083940",
                "207545096982098631303311033250462269368",
                "14862982736487828981499445458026061887",
                "71082258914847190125380497633413624487",
                "244148067934343905663395548643782125703",
                "298522862726459072779481932824301435521",
                "36583637300714592045540419237002830322",
                "131445192080370469982909202340635279165",
                "230307201906658720654374617370965417010",
                "107517909003433424025536614194068893016",
                "174334288786762625344697058510201340753",
                "168241514440182803120453172783938324660",
                "302338186336994833915222225734200882009",
                "128786831597615732490302587986359782787",
                "84219985267484226276388516146971802826",
                "14331588504504890320316962168498503669",
                "155431252215005652897197585255615254459",
                "338600798446917394772955503202670303056",
                "119668240604527439450506150744088336638",
                "188536936174153526523794792164871755919",
                "329747190794381388377005229059771620056",
                "299802021251403791712990365520439367266",
                "262249219774722774995011797102245159456",
                "30746736944234081876536977379101040621",
                "121120829845036801324162990122416614819",
                "201646688666177901933970729778082554677",
                "165453831027686444982632820288892736344",
                "217286427299234191327497771433029298234",
                "39338264255422787288819295482929560929",
                "302803929482666057301786900428138532769",
                "161069755521428264281016650919311934744",
                "278700592193264307043564525995547462933",
                "84136814909828841754670812452303126402",
                "266913160341835602516607436383101504005",
                "176161894533322141602624967224233027098",
                "247287719500485491640968936669808178909",
                "210729243705110713249919641161692389623",
                "245214282312070670031148684549762405090",
                "55083198712670208743314116425913103294",
                "334538716373851343669564304786102144831",
                "180525828447152748588822288691402280847",
                "38321796393109035034166804483570776898",
                "103653022719029577082848892314632868612",
                "334534644961744305467724384220384810988",
                "94276626643627322349253595419989718948",
                "224530505639291713082451448595510725639",
                "185805441264951215171775497737011430674",
                "307845753117865632586070331050209940110",
                "59623225913621790286468616211653059455",
                "90354669069952756773707032770901082815",
                "119728787166572441666039357053252928388",
                "260311574488968152008419574401390623406",
                "137673066976446267210080165885215627507",
                "109077333178047161651686268672678028999",
                "297298972254723857440358375060995734421",
                "67448495621149119117755067061528430967",
                "209568242927973459627795890444592276967",
                "287396586286340372350037450731741718728",
                "167443433580236973737687381905110383019",
                "64755082727243194325873510495375269486",
                "188090495414229270704503551254784206844",
                "258963402456224690333916271850331557012",
                "225758850992565156922497853590686505790",
                "127903309211648856391407306349581049717",
                "115100290586256936154137307985220067800",
                "265847695698128043820667983978223972327",
                "224983896021990458267459441644956080140",
                "131192225527991185063353208683947586845",
                "174220349168605907059210909430291606265",
                "270553687231937761373558041587310113074",
                "284833267052330653427022981197463813095",
                "104388386932665418938301923228100588905",
                "272429165184000505989762485575501831538",
                "244479101410020774014570242464726445744",
                "103439400057184195630008485507435905039",
                "214461625649995509193533936213229156794",
                "313999524419456157250303713283140725260",
                "235783724432646600751063434865882878239",
                "326315432195895027511020524276790244975",
                "79362724684195140041663416197923357256",
                "97852496377720849606915949217570124234",
                "182092460064811199963259166098128822069",
                "64574201373001415357271042986275444344",
                "194437828669412101423433529732064656730",
                "128234883101106362183227192731532183128",
                "279985070369727408170909614248788202457",
                "75891700134729306699583473444740142630",
                "29992636207580157320035827315327467878",
                "78084057375581278328009561946866206544",
                "224721284938457867904422500317838759991",
                "238428776006614250429638962050067272878",
                "318467877636441929904828533981867265270",
                "17004917088205914585367077517167136529",
                "276778085999727371792867276724163107812",
                "167770949442338896966940898400709426183",
                "319086308005512534347475883394692662565",
                "129117007742339829172619385703087849771",
                "132495610659901914873168630853990471139",
                "155020954236258651016684327886481669555",
                "286362959233136818196770686133271241954",
                "32185215322679459673859403124516042216",
                "320204568196586181240285328245995497468",
                "695009891455759803672425603765929909",
                "690043535734535457577293302425201728",
                "185799758345872490100630566773757496170",
                "171691704464064857704203643546358592274",
                "133344569109848065397521954138189738448",
                "88481961074342359447091728807296466777",
                "318985461472070181303298492761118096426",
                "137255057998106380875383925336501590899",
                "216337868689412550490541707590116296740",
                "320561709671062030608337177133984583229",
                "279777076008612337863055257843321802079",
                "162751501598887517521072662880107297399",
                "96086966623503218666850828314058920279",
                "289626733609714325528841218886813617382",
                "294744180305196140604297919657722595164",
                "58598210535563224504970418415936578298",
                "45317735228186903788219135112253149123",
                "15238377280031364966611901275199521034",
                "11293615921573957332291349831648294994",
                "323116944481740639934146109431213741310",
                "39273053980103378181673607880200545436",
                "337475958740895425858193130938857985415",
                "71879139972991799936234853534903737412",
                "205959675542882414893547780685434049116",
                "64263871823103320212348540724410883466",
                "146157024844595637944745787094982469892",
                "214211212564341516853618119686231216900",
                "14123024205575626828428075716640771469",
                "302948647068380999514149896606962540787",
                "97072407232559643931596108340725764327",
                "40233223023560869870407190780141099454",
                "18923087614728294406054612747721776541",
                "82038197852959317470027732580448260589",
                "245130987219054881268391527465999128553",
                "106836560510323250181225598712511044353",
                "86605843652070506804405530075402175635",
                "61371174574261112984514922626332520922",
                "173278297115884349803104486978772531817",
                "153471610948128077044393536282804940837",
                "70920397186048753493536154449998273820",
                "340267205019356185547396813922179874547",
                "189165074390769738349864814939865810696",
                "305153041251984950189782221257960805047",
                "190949634652351438851598631468877286775",
                "109367914844451580461178939990397796168",
                "297229908584957490195229314128467496046",
                "99950119411618549220299560975019401421",
                "270109264389056539214414707844540191298",
                "140891841039889043768692704764647325426",
                "163731996275058374287686221373515937724",
                "204573429798966974633604977833271647254",
                "36677263979867334413701827588307814277",
                "225499719237805677328759970481215492088",
                "218155070787871266653696161768728907684",
                "197910618914061838207694172659110636130",
                "279993257107817056791685638864927839483",
                "221327978027002489001116760589173888122",
                "154156300088928501121520886208188991509",
                "39130861289735045114339044861179454379",
                "3253501603884246246213404037290372907",
                "122303315425513299956579390302915621312",
                "203543026420535057907340561091790196394",
                "135733891398138371158433050725023884930",
                "57296626994590184293490582867291572944",
                "294572480719177177613195956594286951064",
                "289066823226972549767047803392875354772",
                "185083187213265875483610794467279988396",
                "272628214075365062741476979419919045170",
                "29838663417057936906072569141713414718",
                "313617688235020861298374480043962919177",
                "14202610464632042507958658977917415793",
                "34113444169862682949698033289277513831",
                "42683023999876979289416487936406868536",
                "130040976868412441447644855241701036394",
                "255507402708619150182548711581927160991",
                "179920595855277412008297636324755279680",
                "70897790100433975789355519615283835330",
                "15804693827829044290161474762259907802",
                "278289679022038148180471168114752010194",
                "251352669653754387946391429508970823415",
                "236887124872949190826949247945068210776",
                "29358258165272085026410046378606793242",
                "287197322736541475612552506656849233041",
                "69669059324361552417847172340722776172",
                "11915638488780578827279442338064931069",
                "191380081955944281028276033380276414467",
                "315984005666031887742485664389564312604",
                "106360939028911255740529433646734824955",
                "320451362581155350316539898733441265621",
                "302203198759595633684159742492131596556",
                "86607602889748067558248534773651842624",
                "272493933898293837044548620010527612594",
                "197658288518692608627316395792958945389",
                "188669348201581949181437698943225945729",
                "14061545761779829480107012144436948667",
                "264150063704496740623199991561659440333",
                "188802902454815305273382670314391707245",
                "42210423772734249331131453178295976645",
                "216256212099022003755677463985261511868",
                "45818143614386942404991214103225370616",
                "29167513391777481910132954254352067031",
                "176469102776776763188921282674898983731",
                "132180099888523419317742710888157376306",
                "35623283296857185627688680755140067310",
                "183382028788311989040708537443806000549",
                "51347283717986197884417964561460938577",
                "47989280012579729487626497420721426133",
                "297410520011073642178193467606691686290",
                "324940172933694028070792030493348953327",
                "15486397393759077822853474148169970776",
                "99799838028512765313872400248921132018",
                "261355283240280051104391660207488241908",
                "313646853445273324996899246119613500515",
                "307019035277508251313803347465626142572",
                "219406093474922020976170105066848919813",
                "101910674279000673701210701581739070213",
                "39559012732167657557106206367225193904",
                "30542024916090581634021303645209478231",
                "78094668158219940258709594702251636594",
                "112774427780198798270149394224494128400",
                "138483677738607933224765614521395593434",
                "65947723987020717016386439916189132302",
                "79333827773048413726029001728647027071",
                "254977078326788173490687490557330049172",
                "227637844344723073257079001405885145381",
                "201720547323742791786991568127190282513",
                "298272426701541100823858408500132392505",
                "4415355686309664113641254515589324840",
                "18305035250945689943877682913348422112",
                "305648503753629480121288615125463344733",
                "109281908279796451644051460445636277444",
                "303636841917669855036832836955005248837",
                "153287200528424366119446847158896582566",
                "208159303665625786024448505066265959794",
                "279271572756071591107287147303881583800",
                "332297780325444240321165602839592540670",
                "92215994964131413622528605784153277514",
                "142426691787602125375718625111946783728",
                "329887535309732401457062925487445229120",
                "145291002673781600607590315110917405488",
                "216697226166562364952255269111610283019",
                "84620537480881881441339410268544023815",
                "9415230486301028273418217294859841671",
                "241517211925406125353061522499314147471",
                "251119301968722372562361444688268129598",
                "265827928191487000660130584507949110204",
                "112385701499741850091281132525337692900",
                "145671017740570267552910237585684369424",
                "230035405186697662836125604193503420576",
                "231100649841491249334076960963606009197",
                "237208096328958164625140292327063020857",
                "10696787786865882081694356449526784204",
                "132839440695566977482143807115195890993",
                "244045554912363868236122782826213590068",
                "49605764368802207635688695849388735248",
                "128793945459713586238296971919897766899",
                "204627775417276823091469521963853893421",
                "199812048832372209593688935948080929496",
                "286065276361453846459699825754817602055",
                "307009759921753912124172845545943553280",
                "187761212659070658037936666883795240072",
                "53554814511049389829720344442038983597",
                "242951641719520152935792464067455872758",
                "12406972936334751009668293754702412855",
                "224869244644743237377766434141438035128",
                "261160112610443406685873968324962302534",
                "248534229534274766769068910862481194383",
                "315438888343542484520372939936491486462",
                "314938502407964773166061127329669937509",
                "35859043159975631967036512534012142376",
                "234158434143795624520962089459932873070",
                "259202829628539385482308972630808483223",
                "207858850833442447266111136654331349237",
                "322299080809795999193630026707583878679",
                "41172632544276173556114230333933554384",
                "333678450039244362575662738239257722088",
                "269391160968451767055805187909932032552",
                "40165265748654933160605052981327963799",
                "43441641675656927570842584473905837850",
                "64171725902183017008229823971654381431",
                "283260339031721889556223643519424390414",
                "306541788887866722987997826532987440484",
                "175298416176528495803092439846846555758",
                "58672860971752014007656141045517926858",
                "29755454217749227465924615752169490720",
                "253019580474076386227867270418024921209",
                "295799022445174395834840949208642900663",
                "108917160043260368240917835159915729369",
                "54447472611730628018517190889700194566",
                "16780706186271545098984149224082308910",
                "330140966918744939492832930282383048674",
                "269960890264649753168303649203750599595",
                "86150086938981305224329013508748128999",
                "234805934710308726107316435619438950629",
                "200083796958374611848468816664321450680",
                "193706092324325161516314264747647676797",
                "312272304879866764534192779910863462973",
                "188623843697144725435081009700740711268",
                "106538234790096141155081273354898740307",
                "105316497209512978534173131798637242185",
                "326167249724905413168531397708616668532",
                "195661037218306130679138396682166975350",
                "251371571358500793269688644728125090982",
                "25331381172388678668512320382118733742",
                "325264349601893553196014687416470573578",
                "78855748056572628054795103892397161943",
                "6589598731023331897094424328919924782",
                "212824326236104514160149815707536167669",
                "264990088405081994093767466418326921700",
                "185722875627593432117732052631544386726",
                "170208381213854813577965490486293572317",
                "223460188020016837429444337753562834845",
                "61089244109110813569064785011913330244",
                "293550413471897471822855718600901149122",
                "105751230854883977707073563849417857229",
                "126109018509392483754976989083972187025",
                "119086720760201284825422593046825823892",
                "231150318955316744797177526131704315809",
                "55692342735026968300273644719733302103",
                "159062852093098101630293453502363625271",
                "92618491282513951230486092640428322962",
                "96540676836027032506456965461756944473",
                "103272884781675523910266290472377629575",
                "308262177279351595550589931611488860505",
                "205018721882822745191251976296776071375",
                "266111185652479972877950167869156025102",
                "281928869947930721140082874333783103049",
                "108550219866681361761803832867603259466",
                "81973346871279422343858753779314919662",
                "124672289135974073139641546881263524621",
                "169161922141891970569234125521767392618",
                "58725541353405932492485673740150912057",
                "46096290668829252283037288113376070231",
                "30004193044164641524347261400146227732",
                "281681421003686886899153780548840131732",
                "332042569331992211007292507099714971659",
                "142316004027313233381356141943874323857",
                "237189809601996421657333739864860565999",
                "250113882936718600143486848425002595999",
                "42588605861338723427439547784829676506",
                "5447195348369161884326459463402279373",
                "255921893181480699624627497461821032277",
                "157689359220706952851608801976979919495",
                "334397431658231076321583791384064544570",
                "170667361232513523961242893136434089396",
                "161632740725246757847728481770382848371",
                "80766187695330521645924792690532266411",
                "308954201589029804286018153327572387587",
                "275991788596458616429546533295685728436",
                "248402868558122116387713461294035974800",
                "261886474492055971937641196348517207589",
                "100619910048729353137306219125861843251",
                "194085082942516217244315920606453660770",
                "299953955153895303678696044006582167135",
                "292919263147032460778003394240998326579",
                "100186813974936035342700751992535351789",
                "269172828733184290749265820464960106467",
                "337958577545919616980034228758211963520",
                "215028645088855452109435567354677744595",
                "305300925207316216807279670304959505584",
                "214563650996516879465952321290900071059",
                "103704723562170546321722961014296323461",
                "185237334848824760643552938421663916430",
                "119357182715823857907678366867112744612",
                "97963585636439566959195768490966772527",
                "88087155404620817066070082841184417405",
                "28152674255275492306772092585070013042",
                "231317858083819484895355779727264636000",
                "436871273611358287096073023704633906",
                "70035972369254005515249133998913240699",
                "105564378615820557606891409659891872986",
                "288606143352279718641437447452945512969",
                "283023123399884076926182140847781823137",
                "335729509543849944648179705259981454674",
                "288331861569159659042765590932548376516",
                "302190331047083006004619485321893583745",
                "128458576963642044047309143827538927421",
                "264913416216807587562765752565295026805",
                "290686674467696530435786028832423214236",
                "185871321411982385889041990574860333460",
                "313117345814519039201187206666636282421",
                "205031395492606725715586213396001392095",
                "331456087397534855321091430038712398541",
                "153807224366878636909060990596220824116",
                "48651628090023265736726092796125097484",
                "73152204128020213241432843756117754644",
                "124697596184711266501572063509048323529",
                "264627866538117372488477505239583802630",
                "201258201917308947030029519732354078003",
                "332274595640007692204972699637106158201",
                "325830111047216495875567563787804875387",
                "240153601803376779289130994716312643405",
                "181902140201273874226090764777670928775",
                "26459836166750136672445224895551673625",
                "316244266568010681818584237112491855583",
                "151789146815262267185977062792258557654",
                "145375447014236242852656531501230050168",
                "212866447632626882719638155832316742418",
                "109328674325960679875808581191880073777",
                "217763242536060422389256245903713186517",
                "27266342598433141854757692234032020231",
                "200920576918730376397542115214977642944",
                "308038072932486823884353552269347429560",
                "22517815561394893637714328352939977146",
                "94768481620588145394301067200246609296",
                "65179964284049190890078800296387324614",
                "265517504387635396724554861438850677263",
                "323204338382062253905201240643383266329",
                "226282390247420323870493860611387631750",
                "116394629634249761638107976538831416509",
                "112447715798652347689761971530542185785",
                "257021838065820890823980125263978086073",
                "237447311631958798401795623060512911728",
                "222924469415856267044647215119204065796",
                "78589755018997418364632532766608935653",
                "269219483253704754833829289582036127398",
                "277950737711905630533608725808499960281",
                "316780915493813812857760385448825014234",
                "288433021608261801083963531553532045011",
                "174877613449693625267363396592491137134",
                "55590696466497102356592298807122115358",
                "33776499693205083392070265326580088846",
                "115262030977023909109167177711646399060",
                "256136477721895770327624813707648980581",
                "6787065496477603169430908302427691763",
                "27130799418669880337631557929579795588",
                "120542608721576996667124686925323216712",
                "51833978987951339155283350739589099726",
                "243099642339546908948318341138807492387",
                "187756607061578452681692091886103586306",
                "41710404232187966250298087785934039194",
                "65813175111496714686076782993575612222",
                "131160991193725315152073573066769167344",
                "270014498397938765525154570743759715531",
                "326797778142838574689768536750566264023",
                "148738672734172631693846745599384970870",
                "80191085579104483281641855144564110262",
                "336290573942036869858387789044048582771",
                "229651123185297301967599016409990432484",
                "112630651763014288573908881157527771161",
                "59493800764537011574579501635394256893",
                "323538845831991632777586037697066461953",
                "87351012019067649226260476150697752775",
                "264056844497621752688339460930910576586",
                "187603999443229464136234642206019613885",
                "285601770462441600154794857231373005711",
                "256208615314144846036778272331550505087",
                "83075433591444829902097560453982094804",
                "165668849884537146994663904484639324310",
                "112894610998204212221316267635524919940",
                "121954253929229139584282755921094318409",
                "210943899965914054765070647921018883255",
                "7973190879854194914217217701831865278",
                "324384494915536871765417097888682481922",
                "100599584923636780016356251428198681678",
                "324231135305376721430937895997747035791",
                "139219131275076177759761767792650538442",
                "311784696805121241212545257791106854275",
                "172668259511023290221425502558625574927",
                "3048937203847527242538360093228350477",
                "126934586846264914597405763095631846462",
                "49662050475824629522999516022380628555",
                "78786105782417531760032634900236939174",
                "270671545331497581942639930743696373295",
                "136680296165913374755380348263051356464",
                "286777554029145050562041863728332857269",
                "1315658402782592787000095334558912994",
                "333519401184193541310009155184315006565",
                "329605860762557252036463733591911235832",
                "89695651464169364656118904395447570632",
                "223254147669593286503999487729619613608",
                "115060946518367964340726247706047837674",
                "322583493503796182447643150905653313509",
                "268902571352659451016507310463578553845",
                "13072931782868164458561082274562149531",
                "113157011871816881308349968823500555539",
                "146696867618560007310735808886672199960",
                "319737233289401841053373714804688661097",
                "21462298208565831523240178897046776800",
                "99880034349068432397259935396980912927",
                "335827489074849761429989431316333286498",
                "110482542910183935374197955442161086299",
                "145784383047444449155742801026982141380",
                "256206074329212873568920519426314732217",
                "234140016983712352235018385404683644454",
                "297709200891985091807382093727189144815",
                "87644115834617090734276393286417390085",
                "337585655749980001340176904435313396906",
                "210058489109221223160494543795164067376",
                "116698544266404737228555336811312853027",
                "91203107923537549716725332386381352913",
                "70161161810969395118173539198634268284",
                "242531109916738108555593928966857258675",
                "249140045861159111966493106115622395908",
                "331225629618360008883586024912482599441",
                "258228382213128819614975568500706548205",
                "283600744222130198560083816302363395699",
                "132890311415319501842956662647288123185",
                "273200726102983274608783555885340704047",
                "72806491535272246367216261873529463601",
                "85127164218057665869773501755084955059",
                "329998648772339544389207494636464046522",
                "252815077784474778807559126587561049217",
                "55869862552168837921953595801871542583",
                "166694861297590365358856768410101866995",
                "55843636468671485250175741452309146319",
                "54830570126007631460550452521282706980",
                "184123496008380029625272267551243486162",
                "35514636191154789004897319828020483318",
                "93956036518751712809221957680014697443",
                "205068091576925943958963868530726145886",
                "191003149301919621772427741740862342931",
                "53775657845089580658972574689121404497",
                "141089961514637400911179366641986547411",
                "240749436261284675926119568579659347434",
                "64778303230714854682176844670348717856",
                "176636399636119610164606161770493417445",
                "328417476575369457609365804336820333332",
                "18452848377940161839182240661223950671",
                "286426021249306180103498894255619297222",
                "135075671935735629394471706311849145708",
                "285550397410741470291586438696978080530",
                "246321471108511544166524817291333875410",
                "150397337887646249076892170272002520707",
                "243253340676459764211793640095441262186",
                "133614454604439584403261172627984272633",
                "236710052756080454384771052448381043955",
                "81890841891229642503125388418871140163",
                "5595389882655922112313301917638461770",
                "40160184139709999087297129589399194722",
                "286264470960923502291934488085987623600",
                "329223059225334364950883853704115851337",
                "286637002909301583198518499039232729994",
                "170885405104369484247612319095420317620",
                "231520802572220895858284448073847222621",
                "295094181384714022062663051455453799554",
                "88252332091567513444767416593444868830",
                "312109424596841077918359503612985924389",
                "325891838512196853726754725132294386807",
                "139330938979327795501233769552668873488",
                "135579806426994874192760518073720403238",
                "305427040819822818296174704944214349473",
                "254482259635248344485445149618939738276",
                "312516730026120593534936504327413656639",
                "91687250327946903840478064645076989979",
                "140944958787044178562184070339488329493",
                "226979812406572509087301907278189268740",
                "40226128644634114485491391479828182704",
                "241188998970324683855470473782090799128",
                "311161420467093660456430732290689745688",
                "321024525203096536764242100789748371745",
                "234265938183047281637902509356835857025",
                "107118610102795800597757827162940841682",
                "483950062217580916713777209753798427",
                "77614363778466968400353410925603711299",
                "274977267982434561092180913086509077530",
                "172353471776011771674959401690675553593",
                "280351943526979397420292582383312271406",
                "45667117893633119390992691255997641730",
                "320193429169914401298897718015711535936",
                "121410423456546111483924011879621026966",
                "82440498169083209147856403206852383494",
                "277665003852780239497317903241462609749",
                "198595719027035252462821703225277729029",
                "197461815301427958923472251661238206467",
                "35076659878204166134759528609390105047",
                "123787869169039173067267308519722476030",
                "50718436180008485706648309180471197729",
                "332303781133267237795087885447465879787",
                "244235717647506984890137888931083703479",
                "325456183295581759808132641027020303331",
                "125380445492872577206479437927018648730",
                "250410622992024616015242263681579264928",
                "37865247173953796400443132333869856310",
                "310594648114371491298036183272673895854",
                "98319991239576372730584929724512478485",
                "131906913589417437256997048647996903376",
                "274404163053010528023039600258850303887",
                "306888311459679452045821947997831936596",
                "117391230527978147532597181794753869642",
                "153034902911657244279176070937294935330",
                "289390929601190972010670906096651807886",
                "279935944296088912541490497410748805053",
                "296913082060537985948363373030768340211",
                "29531720840106555179240763109730745760",
                "143952342123843648636176704145476289308",
                "40443609911828224947437599326567691190",
                "69232459928538283552216276974571956505",
                "18788859339406306853087201861251396680",
                "260799191038432278781829561863627674929",
                "229945941205442868279292089433197617119",
                "176190946866116303078609927247922492361",
                "304419686418636093454761404986672992155",
                "58211599056774549282768530693959402921",
                "28347239207786092135628798900673202142",
                "154247377198019228025196715603259748076",
                "164645958258912118466289213800063377762",
                "173578924557473520944989734544618646674",
                "25089042791674203436961826220767736743",
                "113042056114578104413703769454462583650",
                "93653161152768552019448003828907114947",
                "304091259577411858264953087748300030133",
                "294983917030563599363205053290627907555",
                "152249845798109488015016996855578944715",
                "178488475559150618754862064632201625391",
                "228841227005940119174257710053252878345",
                "309407222277814422051305328960560576727",
                "97728515711928034914573192230965310779",
                "187374499709888918600311573655029235220",
                "230305210737751646641684301801448419674",
                "82711693387202729298251223043074572229",
                "82961675272842639705487773761711540912",
                "104050727477015285451716430444356421028",
                "119590992049638567512780285944250659833",
                "111097642981590991488233039423527928718",
                "99198712509898287027112306698190207484",
                "33034022413954965990017733100490703830",
                "179337758415554397288613591112413243125",
                "237293516936320935072743496721670878486",
                "215827902704210260859934296020726958247",
                "21629116028241407456263708086382811999",
                "311883820466786320448140750657528192657",
                "254007883487136598644227406118808288156",
                "300876914661404447204078586060563760165",
                "11275789802678828773773741970283378136",
                "202316025964612550891272480565290543196",
                "326311998253113044053330100709455020980",
                "22218594873142833119402314786752265713",
                "138097967355340198184133269575087301631",
                "107452466036997480451978223587272712108",
                "105108441924941789228830840702370906394",
                "179016165591161048054968408810395552057",
                "23199061500436545066096957963324560794",
                "238020694652737956595462344291848353271",
                "67936073267532557008736667736449803047",
                "281273785140791980760184211218464043170",
                "283000535540755875362593892136039214784",
                "287120744096144782988258825500493331264",
                "132982886547607415664031746757009000071",
                "2758637514961962406085012468584235557",
                "152758392317831351048863300526404630672",
                "314513563486126960336966723518555357676",
                "272323779584080885292014316920339750603",
                "86689317330954179536831409118549282118",
                "237316092413487356130635471001577898275",
                "35367992767969393280916944772346877130",
                "261025843710070371446474250294456850069",
                "71721796857497754445256665332282380672",
                "286667526346969651887682998692982505825",
                "187122757239833151993859031047168503276",
                "335925739603700032720923680923624276049",
                "276776448919663304424776280339351690446",
                "272836021686367343043511604664838705455",
                "183312844080836014429751110576781682598",
                "90591589124877747331220339743711451216",
                "173980011082615912584777080446960979887",
                "168509228645329116462330182237836022750",
                "199141326566618399048424077297400517248",
                "28041440358796512753023819614042122011",
                "117646681166794361959263576439648258780",
                "222771726914462322384250149196038359706",
                "275630980445844265044366131158751399306",
                "113080079958106191238027188736018429418",
                "321425755212040898313219789062849067058",
                "329192643492593289759853071032460192146",
                "294081646629950760763661101416861764362",
                "225111647429962243330190019679281765598",
                "65704654607697132482668642280592495118",
                "164348164536533168448842506770890551868",
                "125145833036656025010486924893772011856",
                "297147915661249509569754331451817032730",
                "71889832140372616566611166550197011923",
                "13274482228714284860862810778019744877",
                "7697175257265609740280209706014943096",
                "196607033593289236220270826440289964320",
                "35635382714660673160791692283607251627",
                "94508767757260250628785255056686268887",
                "114167845882174937036610208141415089021",
                "103621524489928811824825129941022815955",
                "245520767591220209786615628876118322981",
                "314102366528476583530425489149939874596",
                "14481888475049404648238271297225369090",
                "127825480992696190148151001956198350377",
                "261109575586595773264112043177696297042",
                "96895894176733021731876281278534881799",
                "248536662637436364275265232334661764391",
                "130651971155867230717369918448300734226",
                "73846045679867306061426822386595128364",
                "12232945227917214479204328372389284348",
                "290138628692915614733776585107849360359",
                "83033538226484607792742514577715368690",
                "281184178074788757374510674640129581554",
                "247143529689176833769004404022247580486",
                "240507757823121908779448023082540608917",
                "159925535566627053410017838262616569332",
                "310561409741061260089551442813929488130",
                "318763012733547097089892027185658992402",
                "135053842013392067881370754679507125392",
                "13700531374514065789074313056473525711",
                "67615050284852808809296132240478382566",
                "30369494540442923592910725871562558605",
                "223869563290668473839298359120931702723",
                "33167913800268334837503632665172355789",
                "87661971859335811817243375571551343355",
                "93647907688441077209993633266970196988",
                "48921829691907844029291604138059646487",
                "91041014962072131278480613349261006954",
                "22697980540783247393690787506693932612",
                "170047912806053029049877184692048361662",
                "149542391693930630348955666666821332047",
                "198080063949759368228611507816252533676",
                "44566913956771471849479633916597246258",
                "51314971249682416387082789035107769992",
                "217233185081693553360984343593894087872",
                "38910897418790210808060016225624805320",
                "199429954872553733655937191958167839802",
                "167654867955712931350813447480518526157",
                "298374152587715111534390039424284348370",
                "42097293034983835916931229932521425378",
                "143330135305553915717159230358337369331",
                "134770062885293301931819268028669797600",
                "53351388595191657130949905094712301657",
                "285121404089410435589659592100596717220",
                "231678653354874821453430807282202580990",
                "36064509014972792487867747901031174189",
                "94965001642851689667334737559685263245",
                "5949650392045561367173304727806041716",
                "107534662052664224687366825752821291794",
                "206898096126069672557067636763905566460",
                "188439057034835140778723965717577415011",
                "85769535662501900716967484648070012199",
                "184951953152521230242095560148081376731",
                "303609077772910447627993783288482061513",
                "281693533575197368564449455881744148250",
                "113637569638500760331206466622736418204",
                "187617624722418325859850448761177396934",
                "291854938659371090634573294307120306331",
                "304677537976428683425868789479298405504",
                "15751740516694898258701380692965079451",
                "176293541097362484623805473736027516685",
                "286101440328889686095221527457705748589",
                "127941309281704671638888351766113745855",
                "76065006363717598228326797658808713298",
                "226538739854005816788540533700546924232",
                "160973995928068042032013694114374305539",
                "30806053526177436135190619709189932512",
                "146717146710816148195700252092904653135",
                "246383229765275016266669547134479089203",
                "230631383439374884944468934296031938836",
                "191018267932280611921747570443605504491",
                "114720674615608679754735593810164284830",
                "178515075081646530760387248838263082992",
                "148624808459023455559602250763061146767",
                "228054399503504870035824076060509844534",
                "125805011935357360678934965638239838164",
                "253542471510334103752721769571315616234",
                "323486853891601154808541058784644060039",
                "285396842303706422074622618971197716458",
                "166498524925298650473535290617423643817",
                "162820669847776313800683276743264131689",
                "83280449530101066313601404177728200373",
                "244277158065110958981163921396549531327",
                "320758487099284490802232018288989131227",
                "166420573685465584356918012692994682266",
                "319653927117867417290594595873639880999",
                "171394267405973965981587819002525096502",
                "17623071582953035978461070917817425838",
                "54552346778774073978874409391525262633",
                "128037625095935765495022937989005101721",
                "303901690907229116412577438603412269008",
                "279072893156387745750826841394658971229",
                "71815913941296741332354172115536852209",
                "177001299322590480972102065566039744859",
                "332165518198012844860338070472389313525",
                "225418529490689007793609649732147962394",
                "235102624138326634175217909748049246362",
                "179639840102124684248897917419761456449",
                "177446615062131713322671391065179826158",
                "60049369995440984030255755353410968523",
                "87563003612248846630255930749985159419",
                "138940490666381726334467700408029582840",
                "81553850391428433056762343698813852170",
                "161737238466353064067194017810271488516",
                "327591022773043013727505086233488980484",
                "104483954929845361518236430145001190682",
                "49324271578616437898171020443161796562",
                "280489927242656707513690011443741882182",
                "212539377318479340437763860841977248215",
                "84438481662822028371113895385536556779",
                "299283774955353752703158826974969461657",
                "52780398277224517633978974063464768087",
                "277209894681535978587181390928219678196",
                "247862476031298654677106728292015683820",
                "280802587653406757188209400964409218387",
                "140086355176834419781917306061716976312",
                "310173147961719276101814129468338457520",
                "139331309329983425920330769627712671035",
                "285210697093508591966531351849055727209",
                "113297823597553152535112288292057408929",
                "217270823234513797513747825855144054907",
                "29762899234064378396758928005966504859",
                "8093795141787038139347316549842713924",
                "339259160725402515357497838932102737680",
                "100600707650946792032290819403861728853",
                "311313263188881121984357927542507798619",
                "279387917577168493097875937137337069504",
                "124838736991803182355727048971660809380",
                "74359520861786915391707306677687970983",
                "155130805721911102455378317952246377316",
                "332197898026997861730956521868955742328",
                "291418246663223587861457106147730415913",
                "80416501288550841035972822552700643680",
                "120492718315292385654384233910984506913",
                "194432116820399802205920389256106694171",
                "194806222657503205030457696866628275219",
                "120382216020207589246616476894082046067",
                "236800857064918799598732060953370620457",
                "142161026823663858620097831361511749824",
                "227984154644427670310896715746069236090",
                "282721155315387229634098791407289356970",
                "50537824954344161204651519346842551748",
                "141823519850459370518597054975416505512",
                "180157987736482034953501433886032665462",
                "242809239981651486008193552544063874629",
                "97916787939268835503547204007506453901",
                "67167520191589405992094637905853381470",
                "76894509369773824187220683562478768587",
                "197887143270722517881098454670698474838",
                "138079569447839641991598811993040178976",
                "219353380874523809530440043276104467580",
                "100697707114063762913648903245638130211",
                "248973319452151086167569509680125474783",
                "178553662611806007784767837199587386036",
                "326945648936293951297032594992125075700",
                "334817542354629156019987014210317262698",
                "208286581507511798109146154371179018715",
                "338539673224612420933734645019414387630",
                "96538702701255966313008905888454205984",
                "245363881991272306998050096433043374185",
                "291532669236574825298355693778658882378",
                "280491530278280517119221050242273990656",
                "48451747459932964492439227187883961663",
                "318084640202181097770226670792417799380",
                "241044852916444909150044784750917560523",
                "148069673094215709384944219932738262914",
                "40367922612570463589973289582186289102",
                "287396121915685506867849463397047690809",
                "217689311804377579366154451704111912409",
                "39736618728335795775646803299040393480",
                "142693852371374620575899958659887635159",
                "45654779930648316938961130261485507818",
                "136269385379549432838398727883648880373",
                "63528170675939198426202869107375959227",
                "186948074698412207297839208641948222484",
                "157944677191557943818014061577051099065",
                "267904977379409685247597637043365749066",
                "29693021219594642789324650214515317609",
                "304952951387491718395383638061612714983",
                "149551107789781285083012121394482774200",
                "171616636776272061038609624564590120913",
                "190229979180563262302870744019744609557",
                "153394433158081806565553322759098769097",
                "240892324477222532091467952000788941369",
                "121353769783019595606058292138444020872",
                "333941467016021997201566792021503586548",
                "214104350263346915595473807976918525314",
                "251828617048337320325782488497070059265",
                "338089294182139763078032098807303154758",
                "283599033854649215379899549074097625115",
                "307740367310039045486883212276168847973",
                "14149471275735097693820169559380668792",
                "132720473737437543266587146880769593111",
                "5307776724063269881039733066138788809",
                "105868718884109876846242845224489247288",
                "233681922772482763417935895622939157920",
                "226438292729778257180314440275877850960",
                "105790052521742601665316966741158799209",
                "183579974591429131771199981333345079522",
                "267114030826812222510807032321853813398",
                "122722529660648812345110546702291467345",
                "322690246599729437154061285198256285404",
                "190657891357485377430060022689476819107",
                "54203247402542023166245184137981071865",
                "123909916330038529920656337020060467902",
                "306554226612973878263024566659226739950",
                "257944672906165652605117072281110274565",
                "209612452666097413871484516234516152517",
                "59403562894528034200966440060483547486",
                "321994416234152976756807997887610135001",
                "180606739619973745371578121508986867586",
                "324023683564278605908640194831479624960",
                "122598957930450105479476935897812050076",
                "126322789023078788416579701318514657702",
                "5122897402659881870765288231677798517",
                "163471214158586107733337737995344519318",
                "111529801197703413279375301919926161442",
                "273986944416297944159170514840864288645",
                "152213637049134964320999217057408063271",
                "310810639845225243900489587368026774658",
                "295105287573377779420628089651370878211",
                "291987983291255810573241099178321378833",
                "71881032968034299614650424798991610258",
                "189920906483757266688566985393502014234",
                "90555130126031706762143799259127217077",
                "227600950333395558634308307170839425837",
                "300394310651161646368775145671909790817",
                "6164462500129964345551889056147242397",
                "118095491834622632234255024721785960949",
                "164927185299022021645218869883830640535",
                "8419748091705981739724918335417805807",
                "102351577755192117853972852050103431513",
                "149873568395089699645294420776064977902",
                "173254125990419899998143981320426163506",
                "208590448549832874150963567188449389127",
                "5404157983918440271540575297562081478",
                "314327753276722081120853432845227092587",
                "76077025489046612582250177924879787831",
                "95138852661249638897019827985529690466",
                "223964378402615849899477469034816494333",
                "302694663527603902452986920374017473549",
                "130535866995484253519583999470621497136",
                "81579142755086323614123215774324851813",
                "206227253117621104194288161232476118855",
                "334270556269960142307357735731887663455",
                "223206900124415876253254481511768796752",
                "225390947124782113094658034220139210580",
                "217017574580669930650163988197395679440",
                "88331247723244456296839750564901622472",
                "283688043922055831961856704811283168766",
                "249785001054404429087247904649299286764",
                "195650477477579056191931939944378402970",
                "340068808419818461456987253919860514022",
                "324995508130976821595030020112822475129",
                "83268704282181485763975649779142331402",
                "161988896213937853188383018494838759294",
                "318362432633422321572780009236322622581",
                "148687149432330274687032481131967061953",
                "73966111947391161267527625465530657518",
                "324758519195599684675913674301498772689",
                "276180622224402930682777716285370549024",
                "24622583008765409748515926126422561983",
                "153792253082969584818733415421139566150",
                "303493984728390886099476821006372579654",
                "157950752635683312981064820845744230847",
                "260968646328102548014775299049530059046",
                "165777100008096399253389254558677881618",
                "12261745924837800289890051048468645050",
                "48803972561490667946999465544301489239",
                "48518484282020653284751705732855806299",
                "23889131988508023303356396658526443502",
                "218656343024056795049117668650716728763",
                "9369701033930388665681556334176120007",
                "198238775068532479193242192250170234610",
                "60152808961164493227952397904752346901",
                "229757348451886460211699120576353348339",
                "70436102092149720053432845890469045342",
                "113139508643233205830178880663243381287",
                "295499658254184913153128960341193225089",
                "101971256033528672648833660590724169334",
                "239154068288756753635959060482686470973",
                "308655139091797606904233108553536050145",
                "319927445809713128477408277003029733654",
                "124265080117652668485042113715560351826",
                "121835258994603490953777589069355867896",
                "163812787566030380630619904192243255515",
                "86837435102607034892766914499969102924",
                "297530316736607816507507446928194010234",
                "296474914469848428001797227633903533883",
                "211300231602352035749803009758609300618",
                "11996073705449062834993729944056687736",
                "115881381722915308646373909598064079328",
                "141657032800761749024379592170565694819",
                "108774071865239345583391830518094388575",
                "217662505793891700691976550964961869917",
                "20533076689802245203388855008920238018",
                "88842753185576461782253899924131216190",
                "275128241247028130432996274764659914192",
                "24311785133600209203451349764830736860",
                "68363851430460227435859890929929608555",
                "62187706062241077067596563839842405475",
                "204730755249706876225884765192645334534",
                "114535385874140964029589531216745339969",
                "319038863061005368313826574166964625204",
                "207619032338783787472451555201461112405",
                "289445500376338933221484976169602277425",
                "135153042775324026986587477233870556503",
                "315777944430209842532998512870956081242",
                "212281154574925052287589464134674492703",
                "219766197874338802681399243822141289397",
                "104776650869172675857435356569306088087",
                "221212822706396226196068224576593461957",
                "312640755176867850737795083819098751705",
                "243327675849319052483572373638138613843",
                "299147775960965698711851048336077380029",
                "72805021650198169965357350716630678780",
                "293855842269867015049220774214642201760",
                "65371218836852645084448335791730626971",
                "103391300389486075204201047801760026398",
                "121670061572387414194177717635929543362",
                "128133154921664802993509233570746082023",
                "119061071549046612915429370416685534290",
                "117370610489339575971941951145391224008",
                "339183186634998345136238555061293800177",
                "242627120092597672530307349882293921902",
                "31279173422833637006953092338531553350",
                "140847422310278124363316072162853581063",
                "237114172447193947303383489328020715557",
                "58079537786954374684798444785697579831",
                "133096080867311823163544708226203670195",
                "308835916307897865583080928997725442680",
                "169922734758671159898848550981085141343",
                "196545167524226972700038117625887877709",
                "89297416144776634774100171816177415212",
                "254316343063112010070743593027783303194",
                "87051957613509122984534659106923172138",
                "134452398939144731072471886527276063295",
                "314537020643926173286993220749797878239",
                "186605428249018457416698798376564454982",
                "293863175388804470596363261860941215440",
                "39010933707188624347782585453457857990",
                "315232050719842863602860892666151923321",
                "180929870445291632038326940529237551298",
                "273430291198527772523785809382463825747",
                "219215527600354847447881965718965451963",
                "175829722424152858430041165878077277962",
                "290339762646758569390656818632696947639",
                "331563880271737205580179338778386955022",
                "249544755266866506142864026150636777843",
                "225879105741983910970473825488963852654",
                "137351214006360893362916074420469084053",
                "95103718722862832987943372901002273695",
                "269802402140614126956212350100560364495",
                "280946601331093876959222607316961355024",
                "115860467812868709398450795211475355255",
                "81899146907297103537375214397051262586",
                "168152620311800310309751720169563582884",
                "333681998901766621951019006013247293342",
                "45203899542964945731744931462279368739",
                "85880990037407725129492201220945019242",
                "52216639131496074167997290928168722224",
                "149518168310289174099482514536955704907",
                "188530206453620477296067176401547930185",
                "223724300162943816390299794199974393564",
                "98233123188449524143345420060510895198",
                "246242885071652706755699301594487709258",
                "186267479246723905583106687487564189143",
                "315958805559716372601815042392355584981",
                "77951395046066904854063616288968974255",
                "271576543440439028753546857162318229523",
                "292682434786144667831847142963217861292",
                "87951365937788753526664262067223080665",
                "294857375283587529577314840276937937180",
                "31009659740936950950086687143209499704",
                "125543149923349745128642712989628933602",
                "331399577693831123624525747752430470358",
                "268872485686868494929377702483577995990",
                "142190355490758343487764690917480270766",
                "321655927896808774434556587004085232324",
                "309380724494062660539673205036930270970",
                "122638806418524361297837925632033275946",
                "199209883584412874093222617217073783460",
                "228274815904582744332799589453479598385",
                "56202960302106604136806254303444619909",
                "230012992259758798487693360002217339124",
                "248872016422494232651314171284538528585",
                "252922711209578417299478582506456429267",
                "186289927770955582633509397993620410970",
                "30350100047402594651811624173462451227",
                "310594303691150364817165069036223233728",
                "5543873391982048975476061670629583457",
                "147304616130177755287728085606611927768",
                "191052062865998467231650111474313770796",
                "141954104277120928534668221998026167117",
                "188709714320166529999604988665013260522",
                "140453585662309686194017525999095776862",
                "107891591270337941027777795478925977147",
                "87494153496345504845021502369271780291",
                "84008165897383304221034444343379602365",
                "43967217358967364137214152262236255395",
                "264702100936830778454662360492521380300",
                "105141193356293564801141450497637069508",
                "39743221212317183554583629286337986258",
                "3227418243189984644215264807329511368",
                "93458609166574122944231280552565202486",
                "232952029922270442011456575311811900858",
                "228713111733806516986907439662310231273",
                "150225433272039882901708075493821857788",
                "157760837969842059362016328698381886258",
                "110398416951118504564161634784348980085",
                "203050058559294410085359127147087316628",
                "304206127861594090961244478735427316778",
                "81604275053382822511528106305734609295",
                "253757601551735235835436774671935408607",
                "233337948489535710322970280672379146824",
                "274699534994715980861787860644472423777",
                "319227969269612749613761373930555901326",
                "243678039558226786062610929176737533836",
                "132051477985800191760615603464580347546",
                "116078571927945398372560294731955854748",
                "93445982016757435437906020718967185224",
                "174296415342332406472851544527194560910",
                "241759224222221872379230542222005764464",
                "300559380804102636691394332541252734737",
                "54253460879435982748684004326267755241",
                "147706685919284206413392844111743584368",
                "163531471481597405344667365459426672924",
                "327306454810340288798889787026160422379",
                "307446881925448279671851257735976629237",
                "239313218928310160397445949972206529465",
                "248518234422799121957749010284338801846",
                "147482237807495907124263611841152065226",
                "239152862757707188522248077356712401635",
                "16898911877831501897545859749029377422",
                "337395437423088844132422120361338053913",
                "131351989766434049689391058052096952189",
                "139319834451123431736801445333320879061",
                "137426638047562456557037054911041140682",
                "118318897537740023701191364333437054052",
                "282363871658138891384540475613181916006",
                "99896470880306313419991575092059367711",
                "2506738512322582944859494539706661537",
                "162146148063043043677025553925655198576",
                "156922896641355358697484607281848608164",
                "219367815255217208859216670708051706632",
                "294081886602504799714098593093405013929",
                "35832795909842898563956653126244358964",
                "222182426941409625481387305792396124894",
                "52101240233172459635562073981009523074",
                "47274485181354465746392115909863920447",
                "113019290427695281402641499563378297822",
                "230459149690550849353523432469691964631",
                "330269091769878094511003596026197056501",
                "289532873917942517865637948764175348399",
                "107990965960306288717990268316731624889",
                "284648172978138269754874844607496530956",
                "301121060937044419635360880655869943759",
                "235389844346622073137114538479803473606",
                "338221758484459854407256928503667666022",
                "197814604207344245729559863884175089841",
                "59538198312247515610917658778263111325",
                "85929646411797721305058266408788045191",
                "222401681797344977665691832220609535438",
                "82317701732717796200629469089143705333",
                "20788830461914774142497077965415301638",
                "256769163273632928883069706901449231978",
                "83288515355696668709064402380525054514",
                "170674601177375994674508932266640004121",
                "41321386557909642683015420724185775788",
                "238298112172147728463157062062166340580",
                "287175698160107033748216105719491319209",
                "265471815411702523186548859942095217903",
                "180317535574497873418626630863864955136",
                "224070000625285371394762793754616785441",
                "305801136861082875429434685870791564402",
                "241399515282002741783032796028445187052",
                "223143493404287555206172235828089464203",
                "193629103437531990617759607331799087341",
                "260025096443618224694503763568817402934",
                "178303013768845760929931395421094323714",
                "230635964919551088298593367804359068485",
                "295027474618587387726273204603517463196",
                "169892653286830417583041804642513750819",
                "107119028208556191209392099142760792997",
                "337716377214344704395821879947214422309",
                "194573657379088747290494926340778939525",
                "155587588725710730313316811518401441378",
                "172695638720794786215985633546780093692",
                "38602499017568862834887245985704960915",
                "309450577792485419226065651327390537931",
                "174023147335422878062148647526982320195",
                "64965798819153445179063448308577875718",
                "179304071955493334084224957145733453912",
                "236540544004455224118454414203637232476",
                "203953895309130762324670370608579154825",
                "277534919051040980624444246921289645832",
                "279372056484767243959940475783843903038",
                "115041838236352741065886963242480936689",
                "301862331255478033715424506918073087976",
                "218302385957501838626447420571012721683",
                "73217670702875589228116857332816601609",
                "43989654407295535539295630195879221396",
                "142778639418151129118510115287432323748",
                "56148263814345936352907447545677464268",
                "260810975723225170527674649300482821828",
                "252811932924236229987914684809312950464",
                "166851783744650971612317770013461911834",
                "121355426349367991046733660511605903419",
                "197452839054974843592978584162351378089",
                "43094694976858963833603031460177589648",
                "284543800017509964515428192381993974468",
                "250733840711860040970663515125662478996",
                "287182749469950766610125233321576678385",
                "319732428209042128065290878691954038339",
                "105334542589673504915627158761924183303",
                "110468331954918487899355483750778043685",
                "329165761952821012513297779207089681485",
                "224574826507288949231135289914196630715",
                "66141136139142818992688029742792008469",
                "72619546135684860071353932718135945431",
                "262992618445772382056329260117609848175",
                "200807573935319010161510031674426133293",
                "268457330037990432802402067681731266138",
                "294074827237323050194435802975300508550",
                "60986710016228777889495357800549453428",
                "210223969011285003403715570050726115462",
                "331625357487222493153711444389790776053",
                "189476370987924751908285139000795850614",
                "199918257773045645339402556955975248539",
                "119258545386045653061326439150714075101",
                "184614009673227683165344826238162143542",
                "138902473357927075242266268946448241946",
                "64311106975735226475246715011473254943",
                "183763740353612230006362855764154479465",
                "174909816069974017751347947645773642103",
                "148571893281412884378793740219312223071",
                "226485526898368075072685879178867859548",
                "136434621262745863569821965390140580844",
                "189129251737255116319668819067409878234",
                "252153481655086268598488423432508188883",
                "17045156712192049667896389307609813347",
                "236966409159698585092106182275636405712",
                "40760633892801908918476913645604825410",
                "320592608107203470013320739665429647290",
                "24523223489290668764027875944282692251",
                "22225360060170106137217648347720536729",
                "336582799635197372049409200101386141455",
                "322264811915189694117642431038838497318",
                "101656637660841893441296565350264909859",
                "8732494946019539344791055804296091730",
                "78864312295719980566855162549827263375",
                "206511481514697524411938852523677663993",
                "313325624573040950573975303762626188937",
                "311778877883153880702521337962980599785",
                "211030702086766062409888403797245093050",
                "226167126639218518487134460353847540186",
                "229672054074908453189405718990956338176",
                "86259234564513714401962167534248824050",
                "266554205315698741259245479679886143996",
                "173419068634083072517678234122516131292",
                "170836579524247483404678517665909687888",
                "12811051736223841144330731783510650325",
                "314234091249729134198583749511821131021",
                "62445975732929803183790165784259519064",
                "117714278941491605690032501573747875773",
                "255002392522732006316339259831522664847",
                "76006324158014565324179127743478842311",
                "140336761990476787892203397395748930833",
                "292359823665327355534787645004763314030",
                "73760312865159750660096199482940034165",
                "171703990023147466812617104020294565185",
                "12103943970360468222931289816300683918",
                "292935895868032855655698227802642173337",
                "3039746235921783663587991443727155098",
                "138751646064516223463211599560393017446",
                "38695033007625802285119109509886980584",
                "205844191066767324331814872086498818084",
                "33745933283010590188527034813534277343",
                "86946603275234196187482465790055509703",
                "266329600589631770778970506201807640366",
                "41524666660940876884018796796993907840",
                "11368011489220770430017761117415794213",
                "303821544356068992860056996808653144337",
                "303988023882293396013624658567392859936",
                "326532891707708243333780829190087391005",
                "25358661999189695087370996450176734280",
                "262073333624426556024538157740721475111",
                "159624800699542397717544127340266500564",
                "305439671604647834666109410052320863991",
                "251120580382338404227561152737085930467",
                "156517869694129360758866877465786637572",
                "325845273728633045594488056599375624076",
                "117059596140331427897671890164221133441",
                "241700893189348387562955489369489855898",
                "206757781162973993274161310664298799976",
                "205105951173616633699237925280817881958",
                "265506502518353124690621138468995003086",
                "146770828566535321832142126058105410039",
                "7413576901791298589407808100704765312",
                "313903746402944940291825064836069836122",
                "137767770078488862860299795286167343401",
                "63340326150656548704161172003806398057",
                "147397164734322818608118847576724694528",
                "80080741234960071368100684100640714094",
                "320818997150143331335417983150489862641",
                "150840284034458142720802071623891898499",
                "28333968861356748590247797072833341658",
                "34113043455751941830628456649151994582",
                "120733515233638934211679948354207001064",
                "281437133382654156610351549733411840576",
                "158343569336304726546568772487617886314",
                "37045111224029841594069762093472481579",
                "63031814717551042874682745745638645719",
                "213132039804839407144791621268272429973",
                "241245262764653328124909453329699959510",
                "176584763172781150714048040703719874784",
                "226708767442183869405624751188176370223",
                "302088026243670509594936393624468692278",
                "239701498896326576753330029385859860701",
                "247851425173118324136581783169114849413",
                "306743001787753969308659980999305063023",
                "177688395426121080658965085590145822536",
                "165301172786275235403987332167965128481",
                "50885375667148599248417924076355413291",
                "69009496149374395826036935001715412166",
                "145355664835591204776195128749494738675",
                "337328184662347005392976321351693103149",
                "3253230876713958396091070075522423445",
                "65587978774764234896079579495349705352",
                "259714384556886679808364314370089838154",
                "207007943407010906029211311570633176067",
                "308211653627759600072435489259588991588",
                "316620914553410501122023961904756567819",
                "227005471581864232013017597165936799834",
                "303232043998200556315160836948624460614",
                "211664728947073204137076058441951753304",
                "263661050061730750400735733028764484484",
                "212557568102975588125069619170486241605",
                "123892618515264773051922327924209139690",
                "130740251880824804952454912670660672932",
                "7288939599352080584445047915293933805",
                "320818662537636700884144773677075649425",
                "28412972427375081469166281517805023740",
                "286560538574737909032194800051109961305",
                "72248492503493273797324654132414670388",
                "222201835253205392736202062868087152478",
                "118834363489741122170583142058253142375",
                "123776586232460792865732909892017373475",
                "141094014512494812485342089631128405977",
                "62810801575433566996166867348235166153",
                "68826014638553559892839259919178254692",
                "160337829882580224412366262202361641831",
                "250936639942694455464817121906750308576",
                "49079360120363158761852738635431315096",
                "282770914562728555663284353268280083704",
                "188795759318199871606445164232543796031",
                "99764524648470656196618886463404514382",
                "88365763733524712242279691231358607123",
                "239229008317713909913281500680880724579",
                "124992375256304951910042544446281716933",
                "309204425977203169961463953159465399723",
                "57950011501250321185165021213637366428",
                "235203254789765346364113003038783687945",
                "329167187445018258567325818576982956070",
                "23992842627852474441928781488713291593",
                "332985704315296511343037127876159292946",
                "278680339494692073059331355585396511034",
                "69184068835559644286672552927308910385",
                "185017964171192320333863572314422038983",
                "23387928425233506928715620424174660355",
                "219802946320557941824508261488483831542",
                "63545759915499225448302733621723322865",
                "137300703294353297135807477581120912686",
                "12847503994925366840635385158479799416",
                "6528597897543918684008364372025339166",
                "305705168310188360950032731613814640562",
                "229268018127317169734290628472697331913",
                "154730673648770960863230468112276017204",
                "313849959477093738530977291294767851094",
                "38738729753679826602172415142009409141",
                "22414631130814274192679062320375851953",
                "3026269893343366416441761318606169557",
                "57418940476087285710126011516523450663",
                "84926652857262084393449717332843103010",
                "146731404277798807734872009855707379849",
                "250654480900017239058673196356576837367",
                "19759607330765101901304241773720824199",
                "141488769573229146570888980044427862752",
                "336596881069825792011884041932073182364",
                "135861145115242838919571754831731507895",
                "324170551840174458985695041343711097424",
                "100954128448544409593876867144373228611",
                "57184955235027949772076890485629457785",
                "330839581512857941866226503226458903201",
                "23857178114908528585610309589920825887",
                "142524392293666021798723791287400139762",
                "95686940892848472593156273011753941905",
                "82510761175294920057890919519299142327",
                "318094181041613740214130662011897677624",
                "103807817266593669379566107704566078936",
                "8141781011140138295722435797573386251",
                "323136160727509769932221089665707427226",
                "214188089919057622856383275631706230543",
                "174444081601562454146959078331756921259",
                "83656198036175009367989659567546996746",
                "145248741218035990434118320470664707047",
                "63148948381622900549797937265076228767",
                "203869170493186814271055828911320609884",
                "228832873707986942819305718699254172183",
                "286113056064053226892314895799992640310",
                "90137480194427234697915652967869175885",
                "289973012968590675424522757981189509277",
                "328360179105175613054696233784793124646",
                "270472046230581420416508483086150804645",
                "121377204376328577326585903285294501899",
                "187112603164641359528503155157388405215",
                "307552087749247580610940748365490489980",
                "77362762294317945280585768830621334880",
                "206378204797550316098702883915832669486",
                "70616519228742982733863791044678970034",
                "84853282508477416105597435492312069850",
                "173403642777204846939693364650792881345",
                "275038656107550177770668125827647629191",
                "291210553949341788265686245041922924650",
                "191799508943284574137597479928815251441",
                "272289562654984918662460544918237093700",
                "124836815491336267647164298846110384212",
                "107172584788340152791548756851446318445",
                "239868077073439082962678663984235567773",
                "287277509395587527944262504907418931923",
                "71382999929853047325707846833197784345",
                "88063328493832274486739290625580800756",
                "324945751254599913596668598321458348976",
                "164499118789385692889263264223358784344",
                "67293418492421339553212509894768735855",
                "154954671603997584399333832959298671684",
                "28304224040340146476882015715550229895",
                "43704073945962039195070273937579415826",
                "150345644845576556895398619311333949128",
                "143780908760137050865033663380166017104",
                "5938070868936900550037560616026850604",
                "333772367935695309897196750224184926485",
                "13799348141470048634561180443128833930",
                "230530570021089273550131755173664143429",
                "251058305603141066834106487059169376783",
                "140181593058522535775591541866732900270",
                "38341866189106059721801072191496292775",
                "117169178912513669273013804718579201196",
                "331912244456305530573981518653120664277",
                "19050617098821555015369319878604576781",
                "56521271280162392437566175908764820680",
                "306555272139647805985623057572363479578",
                "166707760746658297154834237461238269837",
                "302482711049916869502207694216475691973",
                "99866507251940550066314312186041172188",
                "292486905578571225091516205104930261450",
                "21737259607933534904666630177042206308",
                "25528191423681099541080122118777603105",
                "135724021522249513147087853652566893976",
                "281177257247739373389872655665650338931",
                "120391963027030472350536432179984278112",
                "281234160327618583826576624905639730098",
                "14596239847090001032835887767803572420",
                "161909942890294629603987887215512006123",
                "31228634820519304321697503871652624265",
                "7629703878147923348215905417257536794",
                "290786122194042496531185660509499173789",
                "257111270247800919479752402300525164439",
                "257257497651484913983710634357240177192",
                "45614548354653162569127226696113095803",
                "84678598346015873339752781619106515147",
                "326046630308960302266280197615691433597",
                "228090058017602279056134404043601146892",
                "286251537386008923588687466763396713558",
                "243758692258331710644301451923031869601",
                "252350100006561358427806751266865541544",
                "84163458680181730202565560152123716513",
                "90674703078999111345400232689850111050",
                "226658445325835297044704458706848433087",
                "148383448958721925245426852432848076774",
                "145698582036338877756999180116974220863",
                "131646863417717051731103965089716515709",
                "234261622470308430975592598944722602580",
                "283184808519745498020163822882359003601",
                "297326214408546842318344074908309810861",
                "284853355430631461346230186265408970577",
                "113010490158082017301281505675873478108",
                "219162478462769937586578694733206259409",
                "324288330602834494043170908435092783544",
                "170200958651714208381768081880454687564",
                "317847803720835622452123943260507898920",
                "44877775887985642413296371788488029926",
                "192454648733340286541377013362447459922",
                "43854974746788028401774175075706614346",
                "224637373149383224001616011281277128457",
                "30039719155691639040791099138310158119",
                "225851373810404922782760460179152785461",
                "216774792059229205527073155336393898823",
                "89678595771764003790945467825332992016",
                "304753226120239649278430546143764308071",
                "291109682698480612608027074197544488857",
                "32867034120644607690077945211210645862",
                "260320882219881121725790783902263740083",
                "150753380374235098983203947685424689676",
                "30412145779805613662458838625445443200",
                "152567932575453973068365150754978147887",
                "114176847187628676905295640019953313501",
                "60826062168297952331501614588772464717",
                "270164222950998562728790299010184367929",
                "225031245802289173968398920043172086377",
                "276748374940763511777602675376201043926",
                "154589663411264450198920867989409701186",
                "148637716452663773681158283397106926258",
                "52305544374216949431158356781511376960",
                "62385825799290464853725346907507891678",
                "233022273851754786791252828787694907121",
                "244565414062842850578243098814147216310",
                "316675232695613329574180375138471893636",
                "190473967320368552958392577774341964784",
                "87073876503373420640255680304920718597",
                "255916426307590703284097155011866211142",
                "10662318206123419464424261359607688235",
                "306009483447272065869305514179308792560",
                "260837772704796273583715871666933862423",
                "86947456659294712035557873795230050688",
                "259530914969650450898057864510440860708",
                "50111114114642965678189501178546536988",
                "204852446386818534758197483650134437066",
                "79393554628123384386877983504355702239",
                "60689086416404475431546566445998893117",
                "291574334025674730371891618682045401370",
                "32226337357418753630975112448591808039",
                "123874556281363024668000422771608665858",
                "115884592826027572449205250180749898992",
                "285389110895873698420557166668342997848",
                "275319527962059022035820158364631547403",
                "284292842792916059931205474937527526620",
                "242368979996388275856556008451494806414",
                "141871510573136108501957535857789100134",
                "72349774815930772718011686838032025645",
                "94660653933682981639375052544806686082",
                "103147570519801506338973846813170268165",
                "27411075981590117164757102343141885921",
                "214836323815838824251894519411927745158",
                "91130143433809026968191963819597853765",
                "24814239359744879926618917241219934429",
                "174425264146870542522136208860774561102",
                "212857726284479118320237961925597081334",
                "156963971145563640733468852486213999232",
                "55725384353323393949157482275459038828",
                "209571159669945274314009703053253867901",
                "255790722395365822868911959505490882296",
                "292862255184521879005467687193287061205",
                "304562973470313008119673232083653968491",
                "51768778070131618856073930749579481197",
                "139541937962040284212885148123940881295",
                "311457148224520633619745657549941424626",
                "245701206812258432471882369953105410261",
                "24701081029998777234799784699736787272",
                "26634312661719189069802408313925555280",
                "255378645972829011302454515268422416534",
                "183957224187977873102621585419545992698",
                "241572959260918556814229006474468708781",
                "20148877360694941896696330606166730705",
                "209744319258539723827845344702004844302",
                "24252080054154062306205562323711249549",
                "129851943557091971889609830144698784645",
                "238708834530139204279576517595633022780",
                "303452579628081937726919952979012270235",
                "208358165940887524163884937262524762614",
                "143759985241629419963895771016820841597",
                "166145096680875893096655808122718145173",
                "25161254752952102300502393729982507627",
                "213386193286485868112024055221905195233",
                "20150644519566667899175597218665328442",
                "307904166625152582923075828481412481515",
                "321884715702095699183935697824853099538",
                "107934606637133322090279691550182950985",
                "166647757251367734942111825496156924637",
                "90374555920276558014744410587490843535",
                "17132290338999140240317220176843499286",
                "38410013633283656962504138859052315798",
                "176084230473552782009902815669219102773",
                "261410052727547729154238903358960073764",
                "73799807615122214187130402563286499593",
                "295008872366390840461420298700058879112",
                "231370963724704962157615237882814260933",
                "215409527016597973147766777239665036412",
                "171379441433384361569481902854816327566",
                "133781690049058779612598733029034055627",
                "138373445502133379771261579939628387446",
                "232466999877269736131687527031387937499",
                "178483132017391419969476590952370115450",
                "229345058624712775364823573647814247852",
                "293920244344285881662294208401288363627",
                "267898595954080683263108286467125777689",
                "35756497661734474948004737343313138785",
                "143149401110080078445837290010375254933",
                "68516852143073801729696620526215341788",
                "327075457087635691013654193588774509590",
                "142654485088530726410355234506986051774",
                "102889585995821814297214086930320072633",
                "127681821894895377842537997761405708982",
                "46760432610025117572903003181279166850",
                "59996158760323851559006919714283686631",
                "33704185412133278997310989913075619785",
                "182850874344047234834336754890504414791",
                "172255696135453342813004013770739135306",
                "167238306086669530733571824792648625584",
                "215613858299773005483746851242059980398",
                "259964375743584213739152869332035146346",
                "66771133296499449069075518173953773277",
                "207950910066567105781982977237231125921",
                "267464387406735570175788769613322735150",
                "178248871352471845501104290141457125454",
                "277854358246058370038630789776227873967",
                "156062062475546258169147196720199968309",
                "280128391629727571256267321308817650614",
                "74611808971933623125189912786760884031",
                "52913585910924489063597536819333394792",
                "244552598405487516365096246697516259186",
                "48637196244578250270549885114231534523",
                "183053557654988031609987963542387415533",
                "111262150479937090384354191797802712797",
                "260981456267453895522994320860579611944",
                "144533994874971507248348814212577373287",
                "209390182399264564400324878776302154744",
                "189946392532253537839845644202821602705",
                "331475358537818262294554115907539209534",
                "317752235301508618728031725864705385528",
                "327538878593034920028305232439070435193",
                "184368655990992312754864561132299823530",
                "332267879545702902066611806094730316734",
                "9219371927707344673612395126394769627",
                "258914191715132570753891415081020935159",
                "326957296545748418182242560618394764129",
                "270519675401177186285425267821151122598",
                "206283931747499530650581459888260720716",
                "84903218857265599295673540975720714624",
                "226889755657312554107038748311917079458",
                "296686702727250040516444878853655576586",
                "22645813524824332966989047513569002343",
                "322301329704877813027622931697916145835",
                "106071681241689790779445708132857698750",
                "263640032928331073160920668388086831317",
                "140699066550254119266804033274937708344",
                "94936264226526096982174692863899832596",
                "269368737985040590566373176939826767942",
                "148792096753391320152058801173000711829",
                "113081644791053880368832154562590463317",
                "276807195983050774427388662090657370569",
                "140963539332164011647404689860881601791",
                "241902514490516623590011469749166173877",
                "33929586426573275524376165851859307724",
                "9949342006949565071523849329616142106",
                "183346649765263928613075258929885835008",
                "288374728166645890860026989404421850157",
                "255358512880252638493455023687172483965",
                "32316619249292841671905603261258853459",
                "135273033183625895093064899044990214108",
                "241582444851498949783631123930256616037",
                "304965702741773418495713351596753385148",
                "68994951824707932369414656859725923382",
                "256180092322763207112060819444148494553",
                "115570416708100953775029134467183709404",
                "79188401119211254138128277458162737828",
                "85904319364012807088032038618322912548",
                "72882233831824397173660166523533391020",
                "7886942560150319401895503039427529899",
                "208573330421856670093513026744211124830",
                "117524873918554654263279551878308490947",
                "185783918069763806629154332802288799491",
                "265327209029808210809283853744661572682",
                "6736818163345219748088155183262347936",
                "237959258776028328847782283111728374872",
                "86353205481276431039265436698763219736",
                "55327864377773041135905731789655735391",
                "123625227428385591342808951452628971683",
                "275006298718213272186666311752475651097",
                "4968284141256831106349143245595582855",
                "230253872092019661655899269800623791658",
                "238481705661508482664933196735748672737",
                "172189173885558454281733031826513197031",
                "88466187115549809742696827515432698934",
                "51790060404004552701067435106208777520",
                "40000637468738696279303011561390993436",
                "142278241374001826079327108252505855555",
                "259825709311990342161796616837856721445",
                "32610143028529346282176581900079128623",
                "254102416824002489955883213935972975496",
                "226164276624590583600419123941241621062",
                "29909288069214830106692239153354878588",
                "187543169874102813565745968818594353731",
                "33344396081521701034929352098344363431",
                "156171808617147459084621199001103811618",
                "274947746797681042935504256698227684288",
                "148474649945005963610379363135609680723",
                "207202456243704559097699822165303000958",
                "159629289938196660366521813664252993427",
                "244511648730503351279692071070202154881",
                "88069234634459329882430016144872363315",
                "235197950614415266396805473418767123382",
                "21850899686314513224409417521023786929",
                "111360085304815619079721496106087838427",
                "87525596991597603351290846146418337679",
                "105853683751514545794400567477494626760",
                "175378823902785895215180690293439032405",
                "216835382364190021773625259186772982165",
                "44304122934741391114071762974518621554",
                "224791588794540636754797362572509943824",
                "152899598008937821386576884269208921649",
                "101770005136978201150549441990440762536",
                "299767038978199069094459949955495818657",
                "265202659638293178966861283598987792031",
                "82986220035157748632955723609610569607",
                "77747442493229253204485845076335341441",
                "210091410343716385792870600355815828657",
                "220444771016393102415937656692675814233",
                "169789962840513913408459943893174786920",
                "122392849883730883974901381500477430396",
                "226900643779082498070200433650988437867",
                "57659808184537416894369781767085082147",
                "167637175461909196131588706213764142040",
                "249956558287699285515339526590805063917",
                "251169369007746793439294394076190835354",
                "167839800151867362957049237159980010731",
                "188317286553574127094870422953695152461",
                "172754688803625505284364106521692788016",
                "196479204446111739607465335873841422376",
                "325798216199549743874499738337883104578",
                "78586084187654097658941076915099330424",
                "67644680382066223292362424728372496488",
                "340173534512573595480272662453204262463",
                "130010715225984951251893134351740018338",
                "156487865507491259075043262009527588700",
                "324146387183757342763444922796568341497",
                "219020667930601229251170904759041757498",
                "238120921801660615648518351004634822024",
                "160276052735670563960421938879189354122",
                "22105461624698281099589968041741491370",
                "149363367417318971427730404117410032841",
                "13069831468565260224208073525487499728",
                "157175872795300476455352203005451595137",
                "125560561160781630186158921385858807311",
                "264054208593291437875557802896076672969",
                "275173639913639769389480406211958370660",
                "167968461495376728885716139562189342771",
                "73981434594585995117671782687740071911",
                "217901735527067773211457435219105359180",
                "205287722796936907394620494798314055523",
                "255944722649484561706073269653483201356",
                "277053947134829264632695686646200866075",
                "177651646032216669814197493475243119549",
                "334805434122498981739780481781765686722",
                "177228048642557656742386055682349093248",
                "189456956854993720265904950146399526859",
                "243448339551547736962305185001160490268",
                "308810794257857184129566092395298682229",
                "294654459473862648340769578361869823012",
                "260386863236347077446799414633359304005",
                "13932534315453480812023537837189327732",
                "197229416392897039945102332839581625341",
                "193099570102979612236898077112669841276",
                "186643210447987190248462780600710919799",
                "135143674695518370621656210777128416053",
                "182148712691687614618764706370585250302",
                "80205184173339595685827814614869602996",
                "251907689688956975169189886777951141941",
                "333225653491769312183673998224249959632",
                "17846311579025639802768237390949225238",
                "81006925337922126134539805267317867121",
                "252724645048541179388269674856650124331",
                "275135550712334799108857368376379215687",
                "183608731788137842693806740143435711404",
                "196377540418415625632704836010100216911",
                "62373627968124812796077408342670169877",
                "100284440167194571278055111278195962606",
                "104010898712741035987538992760223532153",
                "20105742495082015589481968759243682297",
                "1480833562254258007444650085399218342",
                "278592995691626074135677193478078490169",
                "325777447278830706271786620107790214098",
                "297596795716393735841666025092267557239",
                "262237306698859950707306957964285201022",
                "63766096673371861641929774994827825477",
                "263376647927869591160069384593827940795",
                "203385960698580000077400182888118785951",
                "168402084687275331989946020268287558855",
                "263234099835548210825599467993189445598",
                "198247989500543018827595828122605568927",
                "109920218550116086046680940805878140201",
                "158323293960008965995900865111443862601",
                "185245904477017788965381923161245627020",
                "245584135413111938011179313507003925583",
                "46373487172626356928934742371680104519",
                "5741036000343003568211848407235557640",
                "31207029623354580990429774186670158949",
                "328138718740214289296969789088024967686",
                "263443689499159878306468061905278929592",
                "324286849366758355088836785279182859717",
                "109449011811373438716215086319196214133",
                "234466162692494061871310429815873861310",
                "337678144276585658406597168925781723206",
                "222051453267432316739833065608767790830",
                "267119352618681850996544203097677618587",
                "133372483815033822556290447516823737445",
                "262692573845298042712948810622917049880",
                "229624420799911702062520151284148789219",
                "307869355884539201765467445331296340205",
                "165922130198203253669137946553784299883",
                "166542266851668920326458255127802495924",
                "310492756489171631364472141789863119861",
                "201008802729974304825778780254767717095",
                "28614280443076203317507996597632026684",
                "323931194307517309021542047859951081188",
                "22156294825764574937186932179276521527",
                "165376601563064524247188590485677426805",
                "187350098257172502777673363802657163399",
                "310117443931872392380015665451201436693",
                "186519283210602771469723178023468456961",
                "150655014925352317739485596090275752524",
                "325061161768738536140852453542889955698",
                "200788716391861557796602016541625428559",
                "160979557054181489521364750980907745315",
                "157191363258663948816554942623222142198",
                "215937269540921139192858407118772684586",
                "78312997469396280738728013152426312377",
                "79779233837727644484344979283220309607",
                "176969907218780844586312001467425371069",
                "109441349098863819047071078879144696034",
                "285694168851399937134436313409924712392",
                "200097936842097695255765941229937090049",
                "207691120516450901031150987490820382725",
                "198543772152346219368755644559016520198",
                "216509515640346740671561393496022019921",
                "260738306287869086386029758518678028243",
                "312840259962267027422316181155099246771",
                "159494025732536739619497826170024521157",
                "87603212942447139294153422510908998620",
                "109566647302356657231534314062250573999",
                "256652428439044236375275686033246495885",
                "20668108827993738260100185645537473098",
                "186476854640487478085661751234549617195",
                "316990462259300328091998580359106199648",
                "142366343224968875416931746403212598469",
                "338605405811692235666058826252610415361",
                "319010487407241259097278451747026272970",
                "241774117903925081148900645733677270879",
                "27268071810910342564747367989043391156",
                "155636314160384581105947688756824707511",
                "87121299438870295500547025880918672603",
                "30514424491284060480746822300269646276",
                "122157056147186210589743558084448628663",
                "38987104093847991022361130951244707216",
                "123762324742687605790964671165261886658",
                "63552627023008798824011173108414119191",
                "135222723698757415383263664413992859345",
                "308343065043520337601307816758062030330",
                "235338892862126175218116893765595757921",
                "55113368053343440315524558480127699861",
                "98837806505053682308882177116484677673",
                "140681000440411156384798544159112123880",
                "46139935059136552637062108405866090476",
                "203217209302151586520578790559538066223",
                "262134252064530006493710162130617401495",
                "322935591814139872296375760565829522102",
                "102899124060651949596678951911483022934",
                "65533775343857218227079106748317078569",
                "318715568022605991658091614431954428876",
                "322675178193617111359270197120905216774",
                "141723149618700575155838288504458865755",
                "137898667439093294453342575925277107726",
                "200624876323109856745135432060986774277",
                "79623830486736317187510836097902251801",
                "258286511357191324741233717280749348501",
                "222366258649308712260838720544022647763",
                "292316812057449354379518788976016525750",
                "80083755808358336024338384677874623417",
                "144891439924870197014843879829172378233",
                "168134280541797069679090561333437936524",
                "75023465896713308744659928738322568893",
                "155175854965788897382587464782252505671",
                "251614364657387495900649872900331612055",
                "326188717978661556507978761373478238363",
                "220883937405846527535460148521696479858",
                "309502707269772803150051098116745333953",
                "33259019562332292643415996618842227720",
                "226085576036759911357368190056138616396",
                "108687370205693623427014718970400125070",
                "244382136029939556501870935654356920271",
                "248768152397374466215135712349480600028",
                "199507389541893292096982566655745813375",
                "337051028362666773866969878547797139223",
                "89508928442690120521317588440200795620",
                "233495884419157509368538205578326137175",
                "300206152311051432183729542669951848029",
                "298417903253431449620628651949211727080",
                "17563335624417144184272187535528325249",
                "299251021840658854753116085452812802813",
                "145003483402621688853472569615588928221",
                "194782472488192299551283636967385603131",
                "207075349271035716650673407588681858170",
                "5295010181307571782637504104123193414",
                "18914993340094651898310302005389077397",
                "249323381277347274826535831671757643906",
                "139775036356799198057834574697673044100",
                "111723442347402774448440077678514684903",
                "199791211786386660758936345780051321603",
                "186631112899088327997257537332524720255",
                "10838786284634715550390483262258348420",
                "44033995010000436770589626859490947664",
                "227646423404426220938488336629988295885",
                "66246287378455042991946495384508987940",
                "18876698164050039428741556341072047293",
                "291791341154178406352029822348632325307",
                "300677447934681604420357860838697213974",
                "82299491496157179159985652836847758846",
                "86295502189037073090286707450949259562",
                "85870898386676614762457120868194231380",
                "62054416811670725138377984377706426279",
                "100058282825490013056294524905329793160",
                "198267149737958976385763210906780767086",
                "338750341773665554900020854552927646365",
                "87245533408151965049604856800735317313",
                "153441492911060006610908631725908847663",
                "241371409748307667472172455477452632893",
                "56675374543658865450634626340967690988",
                "263542542965970314224880590815389285174",
                "278763828882772721217499994480369115929",
                "51086170800084605075835425690038752504",
                "77029286095077918704422860841770130441",
                "211050037242550291064142071047916184566",
                "136544381083033909803536197731774807611",
                "15772867807820971553328079090665459868",
                "21613951364868408933229514593855245766",
                "211616898337328912622308412895131565483",
                "44387282289169197181409883194610255092",
                "258961300795204093869799393546398669978",
                "273793497400469631476878202278193278931",
                "44653711299909479488167000887452166931",
                "160458799530347179054562692415381805556",
                "57824762440551213005035222197608096423",
                "156947474871846300414120373034567502249",
                "89533911672681151360472648137937217211",
                "1050749988891729371895149701885597535",
                "229005198619958855788576480611089942460",
                "45170975595005044377693468086700169543",
                "244873868072879289266179739072450988980",
                "237086869371855066456312935394907160564",
                "311137216949752515786360622339945713891",
                "264688729822695960110509881731002925309",
                "34809637816470614062071006049034158173",
                "58140413029640411925743698451300549941",
                "214832870968568716914694030192934280551",
                "40558483623575795720228519479401285306",
                "140789914504464010593587392814858274625",
                "12482226721552583401684749690199277154",
                "113282037199441026742480662721949835737",
                "251582292299271284844531270567854111777",
                "8825473445883736690118090881014865675",
                "277052581336760002003011128355890073948",
                "144233094692778386763603803153490971987",
                "43050169873559581611937472343894944329",
                "338188585958118602870545738811850017376",
                "293070116511577908432166121767572355135",
                "235255322743690183308215184537176059872",
                "175283286564992947463566841389257938375",
                "178025308635796171165698226154442532199",
                "273713404986659248070800004290468997069",
                "298805804345840842673871743893182678300",
                "288186845606288104647717762350456568422",
                "253926576133257673313423946440521062640",
                "135525938547911574564314792332291312985",
                "57833847015755785534646358692331670304",
                "57346270194986605283955719405304223393",
                "230069953663831144132735874866086489012",
                "99359492632752937643184675788921678620",
                "180207227424744449642253877727351101544",
                "217962029285256488661386576417681854815",
                "59423126759044967940883661327094217546",
                "292586839433984875326525367023390285936",
                "118312149854986016491268595699272962726",
                "197826646395580680848883166868574344612",
                "288482086932749999577262991578540507844",
                "331309276898340149851046369534765873169",
                "335766756626558152417143210346887206134",
                "271433030494421295963507942997321925562",
                "210434758439013852211826587678811117225",
                "330895796639407150668987141187894604765",
                "185726720139391363297127287587937695089",
                "164268335771266273783421818192683259936",
                "10676187501315365004661198876316099140",
                "182518337484029946381104536267756884852",
                "86255378343345797021266587812334038605",
                "73822482143223333131574690369008331063",
                "319379122500493616783673098989079385784",
                "120302760099858769229377709038816284869",
                "2149056082412361984137670896352641025",
                "42501437480502539295641291471081996652",
                "240476321844737389606293964338103720825",
                "326698366948164722791575944282592052891",
                "97639774530172485562725429983845835679",
                "329030502554926289784651848855724177380",
                "100885229325253418634992382042857393326",
                "28947814095134193082707500850870158904",
                "185671897107173729202872778932812307027",
                "383675900203112846817066215166911725",
                "209115397574040376905112542787445546482",
                "328436805504584789833432599303395658563",
                "62327904802959401801845279388199279095",
                "131934029898495364011876780132563262901",
                "277444681600415591614572607614188345067",
                "230449449042749173695812295576088535506",
                "77778078158611436204712495311935406147",
                "134775927280068901129072458287792276959",
                "211603639524334762662839872229579703033",
                "96430114326732788725920522361556732076",
                "308535213166774470995452032871116864014",
                "320344705548458787962974031106256305540",
                "273844598022555082719075184628373579156",
                "38329805281385709910153355220415763095",
                "198121873622198590074879047620647489562",
                "274389502952370496699260757740974937666",
                "319522547011339516446136701996423133809",
                "107272921292553368265865584318462704038",
                "144159034263504685966027265401479573922",
                "292887117596877660423163441757287831858",
                "181888720068721545428639431991144385108",
                "320394349225694542640694552024202843858",
                "26779244800835380828551384545689856230",
                "36340681923225148288549997799090913507",
                "315701222309361484146120041795317691696",
                "34088357305578318899513900130535569167",
                "223034182121272930867214432019998983872",
                "39238143130751025621243728374828362327",
                "192061018924921926651178741155121366435",
                "164787578099493449646406894571023088766",
                "29695256118618741907453876344851324294",
                "257247594800971324621616674455578521603",
                "190263802502275697833936767098742606097",
                "89324547189766321076425837840783201711",
                "268717950859477318996626790381356917413",
                "310165947860170940232381042649266393220",
                "11122100967536360588821018525480539479",
                "229981354343827835868560262164520629866",
                "88873043997004924927030122578066805529",
                "2193391971253540033981503654838239345",
                "312141815778849154491420854024786109739",
                "105471329828830136804336865715271604325",
                "321869367751359190626867609337583058041",
                "108437885591711299868667235525416213790",
                "25798579990236184648137759125461462409",
                "333589387332344868230026773883408492558",
                "109445108029254587671517966040279206753",
                "303139637772659795574095622327454052907",
                "268042601680752754989986755437217859840",
                "188437819065122497111116360625857899215",
                "246490765067158767172844235064994701674",
                "207217172978599371371545444540243339678",
                "65479454343496401625094976213526769696",
                "174831415989326257034636586719457246823",
                "124814014368458957270705296418134662036",
                "8036744479327536792250574022321525378",
                "274025748687481829999547917057741112844",
                "333570410160342155541302262363246000865",
                "120864367346048105881083898797723570194",
                "7556233288842966692550083673995099652",
                "227333584601260884280667554671461054006",
                "87348858418886002969890541660074194330",
                "20280645353148087915734672884971521667",
                "275787391606809960934002364819334011208",
                "20524487916960100471951247808998501812",
                "226486401752278764942454765144396767339",
                "138624681781007037132766273969694381106",
                "299701495144590335655321016780192243778",
                "97879077507544983010897408227062776524",
                "168088588998957568641777629277900435664",
                "4922692332802211000542293255522999143",
                "125003552578437608901232667974288130822",
                "60011732330690021726214871146977364490",
                "279789555716022576445387738836262637047",
                "210754141067269794763200072679551984850",
                "142994860717080271084904634737368181229",
                "265634296478404741870828991398592350781",
                "315527455272147344480611313204286989941",
                "262299836698921768802307852755092542917",
                "20573087243114180596454944826226731274",
                "298983556995716537155361602314707955379",
                "43924233450865414053298747607385170952",
                "246940648510260139714722829588148557100",
                "324292264578106973034173311311893418677",
                "94356631752573186378495756520711848574",
                "83367404774930016837147793070728511024",
                "97076653417944685076699346864671611121",
                "13186217091486185163609204271814295763",
                "168260931889529870060303613619084900393",
                "131539583554096523043494121968226087618",
                "125417693591583161491985447866418963382",
                "149740536516463308254114866533570848474",
                "36682008538796666036170338388585135878",
                "159490718992839723061453442445280701065",
                "148956846158860891559186784577183068811",
                "330533547185624362147666809179237919206",
                "216693811604868611494678126089840257471",
                "236749815275674361177395762566508653197",
                "200467392817000561904472542923733446684",
                "334460162150681115423757906360600364053",
                "316769451532385898206360300410638982168",
                "291252947299595301992991518857118796500",
                "306373470467440726556663839966741227634",
                "157841793113955045991787875007754013254",
                "310268131600814103779682582472171520337",
                "119065161922243791737975913256003890925",
                "126245842738453203211223860751215180835",
                "102788480394884167740247719475965112241",
                "209055694097552480742739827284020686347",
                "177974662108947373859949373751055617721",
                "209681445989599662726470383202499783000",
                "101447773949672623184932143525787621543",
                "123825750562663486456278162294053235696",
                "107661057930293109690219161797070749220",
                "17434570147633906428944557698391218034",
                "31701185515817058557954929037172058315",
                "87166475951252789996041833976494403427",
                "113685021569633491037120018574385482961",
                "244671594000239790132542268148445178572",
                "157559944898963814022342834687907265195",
                "339632963362312929390743630670203048509",
                "38607005199254876953602052769936361836",
                "51873983836249377287400427300876763069",
                "158327650839938369743494745642208310868",
                "123810834600036137313557290997684859191",
                "155169815948474905520615128104028771052",
                "32664808082188730249202674130137912978",
                "126724065486945030369805706424111565850",
                "105616490790999332448430086289013782426",
                "299233314910163653813345568808696294541",
                "73365191250133080431936691953553394218",
                "128446162124884668132375083442214892174",
                "196204235338691150011059081797646310161",
                "330078761887832907277488148369935371596",
                "120977261712631517702113280496214834224",
                "198561994562527950000432236471806513242",
                "69026268921316281468487681631219640101",
                "311961509788039512198399646102162043914",
                "244548194103358646132800260224516677684",
                "191494633678548583506033237203668371682",
                "50481522300838230042971082505538747680",
                "193348001977933845324423081811110823423",
                "339940372060316490554716941160980649106",
                "325725568548945879210560310411369843704",
                "295823254504797848944061699556093538210",
                "262852196672578465328995996924306106289",
                "258201169908120384257699623920560886320",
                "102449724444892752451987640134477657865",
                "189821707860443330068442751628767577102",
                "20154451029156760196923808919480543752",
                "43416240674361226657504907127694098089",
                "29861649876272824293141669079668303274",
                "194820722325390100311402704057659494474",
                "194046760512139360485203079711046776053",
                "117655358024060113298239298034606306756",
                "84815493936520227535758989015624926760",
                "248341162353229520445886902894955198228",
                "113628949677009654928971453572880965495",
                "319417152444030553370368441137914237685",
                "189029294028064322022271637983230761461",
                "320545130619735441599940452488482560270",
                "146042714993866852520533876487288600039",
                "336192434559177046856871519466078012499",
                "279023921912004881192758028891333602379",
                "315615566189172414872991506805120016056",
                "274452483150003142305581059763221111460",
                "163052299418999325209764297235334471139",
                "180614362382511667137718651590287293623",
                "178008185936667079954500245328282603608",
                "187554598120285810883185414125393545171",
                "336168291053278904151721904798476083012",
                "334942987501334353389153425309650211632",
                "219783061494843588301520590594196350985",
                "144312722623577871541231946077318563903",
                "19872305449343392405139863508308931821",
                "300678635685156526677828370699136925301",
                "23248363535408634045519745425349188196",
                "38728738320337087512703368486972960588",
                "112736970618596370528973346425311897962",
                "165062954196474646899042562672298844266",
                "234506666640527393696255639831658012379",
                "336820916773631782367410707820792561937",
                "261559599886472540477831272814360286496",
                "182775357907354025737461624260417769986",
                "154874855214724344998025070696772171952",
                "196330813923879720020219957658218641546",
                "326165212890921089225164574539541566267",
                "6498884830151283813976414929068654681",
                "101551455011879131476476383704821312187",
                "139003029594881240669141356852802665404",
                "20204383137930120225992302620531238274",
                "148425475415089548201978395417718594265",
                "141114149817559585581163774233654130244",
                "148664389100413257833346242187242401343",
                "315799999996195851588370566278350886337",
                "120921185671391403936374610716889173481",
                "167054930458975160992932117431104418989",
                "9798207137642306798321261315427916672",
                "80039597582566489923900626276218001499",
                "329204467668616061753386741449295498858",
                "11745438829572540793606631037331507368",
                "67368139623561991446282854669569062432",
                "269928756067178303018998161129173885658",
                "35685521815024262377487667493828432064",
                "218393777131314454069479604051281846765",
                "23699612788978389113371586027652129866",
                "123645765021031862383977978314006358612",
                "137398321263843049384051199755422015111",
                "71748858200870285216488936981095701400",
                "74004429242552003048367598296570007406",
                "99690190028262860023038633710428941128",
                "128446632445790508795898454547476557047",
                "109033084980650332631254481686399619863",
                "303542380723743631969027751356011030710",
                "14869604179524559377591531051413271",
                "108469940704198734933377493001358377142",
                "293462743952598395162139217819660038888",
                "52027836625672684361307047301024826529",
                "97706690475712423115696067415276014151",
                "5409715559229019242304069458262772099",
                "42032683481174414461133068486283278930",
                "165741156838283710613655473421032043911",
                "305668340684102624117576283432793358872",
                "248449878926671820292442516953584477778",
                "247141325058281113710415235995117674838",
                "9918654592045620208040987232586986520",
                "328186564677853609555305659049344123554",
                "107096108245321764592682471094115345483",
                "287876958189164458157984471243154940466",
                "154564927496873635747818933473416847150",
                "97464703152370544572969571540859165262",
                "222567075761589850023801457294878401757",
                "5121870130244236521093215613553007009",
                "123395397239643713444023134678785066183",
                "149245292883338805678824382064409581044",
                "190191424804247668709225671256504154629",
                "232149649106192890620349823463473745497",
                "48858085275690849820048567439168966360",
                "280672180419082644403155436833140060873",
                "144284564811901037705953962513816611844",
                "331158365591906367417146903438459165935",
                "118691558876627663232872332281929517988",
                "160282789255132645539937955494627523448",
                "163975939760249629150150991741534932270",
                "110308011333406016769516275541401611989",
                "206141673153321232579528045397808113983",
                "30558324343417291350283899054484888749",
                "244470336533227002541365744610114805585",
                "60016006189540559549216534771188927207",
                "291848337503583273656735491094597978981",
                "239215487438540756273593607444327710018",
                "299218146216424910659873624793326374659",
                "209909564070618292903475176086140311434",
                "204285269813330164611517884620261215921",
                "31731823550802722576873374436118666110",
                "258206007619979440151436127270171975062",
                "99651060333321647111788998826102568648",
                "252087309696294338725366361422001797955",
                "74878564619214888500850409906596889008",
                "316366452165280672675690067559709138808",
                "271433395208708429967529985892240883512",
                "142995956856785582750698575669672655707",
                "138067291544944865559882940327568635001",
                "91374180002129707015585909838404100572",
                "324042949679206707011285675304249609796",
                "37346175638083010649523741910834464180",
                "279160461757043612131133291709066439260",
                "173259029954308708519364622426799321224",
                "260823246463028670859681292226373972909",
                "40197494920153051929021758513138900937",
                "163475251684720419191874165670820616401",
                "132734287011614980830228458999582562788",
                "247820391761145007776229723243774774251",
                "131153847452006681547637052482845163290",
                "79658388835625967438286921085516630256",
                "198943224425377739056760058904509951721",
                "167414641732318236266599757032189291299",
                "53569424923287577760692105573986675809",
                "250345248387488906662865199340864014212",
                "323040179996886410512302877031610296071",
                "249839299146187491314048652747680041574",
                "50912243816977136641099469368205133089",
                "65330209056172531341248011648492926407",
                "125275845490709816007047281032976449857",
                "52247783818771955959161783854578556050",
                "27318248710016630530574021172229195433",
                "6335388024579369276231336287389437856",
                "262261314906514166261750411689834639058",
                "148546825166249400308696661286839660680",
                "331453716606927632180968312753274385768",
                "131181700040775524202841402345255380446",
                "167063494699691175092182676200894317157",
                "34421217352628556010764197719828490793",
                "173866384243666784783431809411815016477",
                "215273738623549792240656318636707736388",
                "272433021431565253234171475162104560097",
                "122709753034525119967914687179776447155",
                "151620211270196193400917567735972571449",
                "9118754853165163096898260420942003974",
                "247368625471484295380684166962801954743",
                "235913471144303746728178572933804611533",
                "177345113532280541533351105836773304478",
                "57588156185037543883124581548161719266",
                "203667785467195235155861533469998659118",
                "110118637876929129008004351866802295161",
                "283431031976999840921594204037392241839",
                "194430344864786863236584526108948800432",
                "208101478286738430185838454684366887257",
                "163149605030332458807641974205455370022",
                "218562788478020697708779269080377567511",
                "52173498195268944585227372838952729662",
                "187831493381735171316943478788179058453",
                "84947256474993960774597965617620979407",
                "136700904730714461152596393790635220875",
                "323465172880140909523222510773840379896",
                "59739375062848117877743781894614673522",
                "210295262879123046819117406096102185328",
                "99684141945099127354744618054904370489",
                "72169614209026620860005061769357280386",
                "31576325227191440360921199876588583844",
                "197934925057985040116774176890272398678",
                "333545022063120643900832936442429691138",
                "272796719331342785223827294433444879156",
                "107990783123426665009063007492851804281",
                "243847429071065552653277141724284318979",
                "206101503997874672181892788853386825830",
                "169249497341436529428310226325826690589",
                "147858201563683069702869693724052201082",
                "279104050655278924472810769908529190501",
                "139282302849836696838145620922528643386",
                "301974187222688578779718148226257121043",
                "31604756000110552078835268587535372245",
                "67059951755241294730970032136477824268",
                "256290063738546193685258383025388440595",
                "265764072093260182246295732859183935516",
                "89858488788350293482759161609463920050",
                "134544243402486126781955847707059126310",
                "326132871113294133888582615421849668076",
                "159681111662577040556174389088844038567",
                "49983180195759416992665979456445309176",
                "319306381699849766183892987878807920622",
                "178687778124420112818874040679079170843",
                "226427337213365884118117142320064158019",
                "233371422471193166802710398893717045351",
                "312315423189882196861062509936982896940",
                "213775420814444450161298412302727810554",
                "51161176920777953396197189533602138166",
                "164201716332662669143337997698820253706",
                "152638280095468782775328913884738844594",
                "149614693648135614023794860303261531470",
                "260135884228952846812208244886123908451",
                "210807471264888456186467880427575108921",
                "296336078438530119638622631295636889656",
                "96909576726506292428140686840041375348",
                "193723795881722739868857057568694455799",
                "317890162376403228378350618818464517792",
                "216368478416856888150004160272073380534",
                "200119038514092253414884893398330466174",
                "12226340360508193095893117117485019972",
                "40606639719785994416114095128671900902",
                "146124962669629776513987928265152117854",
                "242286104196271613936072459694648996678",
                "142838908957440360796138215813593840944",
                "54805945998591713156536106656185770129",
                "128687315137058989332137481547850134173",
                "330522120441122690517591958169119575126",
                "43057545055393225904872549003098600072",
                "273754817852862397656257683566341854304",
                "16631169283043171639754563574718000516",
                "120671317709180236154172567278597006505",
                "153137529563002621404870440776938319939",
                "161103135017520308987702484782604628770",
                "203786871675971832070073773873826512766",
                "103559425877521084194600042114102873750",
                "313741848351003890783003824458825729879",
                "113042400601514710030720774288332862365",
                "253637569028748893929840318659500533555",
                "143736835223758216626861475051835593528",
                "67886980614899003869572984853644387263",
                "178886354926307306093706959760722713256",
                "50930764810918961180352739556193934653",
                "177988835266626195840669768657879057586",
                "159360198580764119341341521553848356885",
                "123495678428606956708514743949019665997",
                "132662227062007394893807963602410001005",
                "66523209383633352067914239081865658579",
                "138870099317374646667043960865853532429",
                "314842769101550085282623497834910677757",
                "308059759810941448438387071306609193023",
                "62030007218431211682301696153001906404",
                "82686994645119347910905202802655245141",
                "313700377488522759589988547194360785074",
                "273780588117616945661654055548319902832",
                "226350902145678875083729810708514332666",
                "236205878225467383645271177443606013447",
                "109307369295362003698057385681362015982",
                "90479410248964234437100645609698770379",
                "207248472637530014236078189003124967205",
                "251414292516145223635687914633529492984",
                "94184023187233929565108519288793119731",
                "247735485933965313425078139037241278171",
                "74973532049212127028857805037613160980",
                "220861297317755825804336771719901555495",
                "221036271464837727451542133887147706320",
                "219222030472239347379902058126687819715",
                "328836964565542178898226324535785498774",
                "157775068531834419971120476840351398512",
                "103738353827302311789341458046980667243",
                "68750182862790082562114304916484683860",
                "36617457136023259489691644501741108336",
                "207765495102508639273446487400500258412",
                "276450842389908744084691657478282192483",
                "288453067882615838501242763303542925635",
                "279235689735287685610391169971985318119",
                "132141213091301693859254732804277297668",
                "322777949841812643730634547794439885142",
                "284854651211910561654321586985530350911",
                "137087000924949334546522960232542789199",
                "299495146008870551634842350211389129482",
                "161805331208247464530155980483861632911",
                "250866879687038690204324401197720978930",
                "285438505256190112315487635815608191205",
                "111879612296863737967957535803127933259",
                "170190589602059298709886395320987458671",
                "46918367986996762638902750170539688561",
                "237670283074660450300494015281760194209",
                "320019054979816198136087982662568941726",
                "246786108658158280991790372545655020132",
                "286134399754583991470939672025880870211",
                "132503915136771599032880709134422373390",
                "58552768641869880475095239835497466546",
                "222008329671975686849178299500394261745",
                "66248815444516421149502375853782542556",
                "262806671680145730575854308608817826340",
                "260628847700703578036855689660042766000",
                "237740855305042219580123861190477393166",
                "85661628514704818456321109642942012932",
                "297065097046636032908285782748125459345",
                "321535218876712843130059412381023386277",
                "46675999894560330621463528413595340274",
                "264199255103348020271470236241626275817",
                "38022995514330697241023113176446727697",
                "60957604943052591103211504724432859869",
                "129279961767786992246134872933698768005",
                "103173434041018310873093717856014835786",
                "80604386896318272283513527732325821062",
                "141618639235182664440964014981522269106",
                "41747878637170743226336886485281806355",
                "41121368805549728798143423759388698398",
                "222169565077480686294750910248648402399",
                "232232208025000247927101938986153050705",
                "78058678633746823420986698318196634576",
                "165447918566394913110355731619058591458",
                "37403445431276166159601891558983924880",
                "43563410451325393912403740323261278093",
                "283811044273958153120724906903234929123",
                "263023740359563237903796299751544596325",
                "51166598674079943840165026319006239167",
                "121128934573472352218916321343588212261",
                "115735747623151796083083619260797927364",
                "241369428009960420776156727969983732985",
                "86955656307739443839747752101281393178",
                "265907108025334100609449114225151046233",
                "248058583235927253365558313532758902399",
                "299517038734804428534849603148732335442",
                "99507247302375637751243282277640533868",
                "317886950951498705883023956383365240715",
                "174535126318164777648330709991883775889",
                "168034978004721188613960378855363802658",
                "159421428846410560818628969703152426888",
                "65595377662753336802002310679263549573",
                "28764549922130466406043891182495415790",
                "123396722736851591764585481669529945695",
                "134353687692481402120690854331334686721",
                "62000393398234717639613967340034485818",
                "90956906022904686200648882978697639368",
                "304855899597322844042875866036311545509",
                "64805843274381441594321753040150351737",
                "63892423962771291370651206659736376290",
                "29552551883240093659173026609597107352",
                "180138351835960157408579813583935574808",
                "65624832686335664471735522099059891144",
                "204035890698660811091838804058838218090",
                "125204184390180951401500084881411074339",
                "118879998861125356483138128138164930257",
                "193935756908739817305476613032633988049",
                "291992547060238318966505301589810367319",
                "158993712650060017470902758557625079303",
                "163458922624330202899931703133635317442",
                "50481923999269318305541763022101171921",
                "307974869735994034393863907496015801813",
                "53134884604247571317255849843051017458",
                "160862952422851596295179531694126429887",
                "90643224657320740053191367335879930271",
                "42864791664581537199890829691005266378",
                "124046120019512568178467901259327277032",
                "318816824773323693244016422093802441143",
                "30171199581266380785603490294979906534",
                "336778059643266029115914162785366122341",
                "157212186566205536677181473617866699115",
                "304132123191210790516109230374979479970",
                "240792641283175999762398671880481166387",
                "178800751925951203410862147184739601224",
                "24776587238870065978664151949262395894",
                "264242589275396580405371057220311157968",
                "175078258394680863991530451923496596899",
                "338971328625983888173710242471345521847",
                "238678901706363094822403071308840412423",
                "177323583839957899353333230589597220054",
                "287350029499170759080676454777065897031",
                "321006388945097089526304572011318423672",
                "173578411505869131242512041030169039041",
                "71402590946827837081908835582988750262",
                "39443236992692334991867669655546826781",
                "184732844700373558891283871961893087581",
                "251742896688179750483131018317124767746",
                "172611360695752117278172501712029217712",
                "310101617064793697859865683761049995474",
                "73484024285252200509084235551520843263",
                "206849195006504297596339366094627577835",
                "321950185814182037288480156445707798192",
                "252690577422402024905985593829898411134",
                "166821148443227875101574863063180234518",
                "15989879336503567460333206305237859017",
                "272240953224849943631277261423300718362",
                "40360777490637475109754758632499995370",
                "289431552823900668135292484021724742039",
                "16710998391437857295736816665511205520",
                "186265802201765935770880305881501585022",
                "80375155333957726540869409497522823040",
                "269823408971410892462341541428723012958",
                "243025105042536063252165220819359140840",
                "36082327108594182115557226379556932285",
                "20014916015539981992513217841354356624",
                "127289583282030703974487029249136156805",
                "255420702796326237716718504218715285360",
                "67970714483292009933675767277562976592",
                "180175065717067729786325458040758584478",
                "4951413314628313782353344277475955869",
                "82730410126466258235281881124312357874",
                "329355091451794983354937581672692851233",
                "38174515864587710059683770062076316014",
                "126016388398846007463648153702885267271",
                "51637850751096528209672952290996089786",
                "6180797142460307595451474271567048684",
                "109862362048204451845521919509894696078",
                "232081789469938724905620099310762264916",
                "115301063995331802300352931998839627620",
                "46627271965638459369083783374560707401",
                "229682588824282709986506000783314441725",
                "242998463793413567501207270279269035305",
                "56121292972577384326748358028753637711",
                "127412401834735466576178949596557917042",
                "161645000695353377184617632652105782337",
                "66675470569149690907931726834627042577",
                "290736755308702964074469577938627987594",
                "235294183220437897477321831249839584283",
                "149266540294224986465060576625381032455",
                "29683508013431673710381077235885221930",
                "6690274063875493099996698590523768202",
                "315892261920891260850282967945071009512",
                "86682292908346787766524991699841011050",
                "222107371921658077812693792785712742561",
                "114556730763722830175673280185007293681",
                "180752384754438048768838376902426331982",
                "6288649693120837810781695313679450823",
                "204286251246198094862543582653319428600",
                "205663010657112758608808997608873410068",
                "282048698581802001156523525671708930792",
                "266528424534661903621203443576791496395",
                "293304904682746889646351308884370089497",
                "258019878415539613649046877984005169259",
                "323096661297074515145670176490459078815",
                "218003670009330357609228895487460356843",
                "164169802989063671476803548255384407176",
                "2537262958143220053581569670810999283",
                "21701861049247515201445016287791809848",
                "264092056351016782362833120787431438709",
                "88001828457658685406830301221247289670",
                "261774620022730946938174880729470849003",
                "96300234959682277860852934086473386230",
                "245620658725192105190713936424377179794",
                "3305864628408446873441080220749544554",
                "106177975876895164557538860530466499185",
                "337631481087777606445051693377793899990",
                "118610538423348807751643526962681161386",
                "194149669975701085748633531704746943913",
                "275188749823837034043541484129603065954",
                "42527550213849015180425457389485574021",
                "148344750517288053590561582531698140966",
                "281158237341599513313325925288093876619",
                "143997361905143879998354618051676470194",
                "241213790510928733519804476784137994550",
                "314391672227101102271564777953719917989",
                "17555288276196063970795012726297279322",
                "82451241020122622185766899268285548892",
                "28568762014153667638265510688844685360",
                "128905050856340779080768319787427571516",
                "75149031917374965859731846828440342972",
                "1696390119804740188540663878368117751",
                "285904076314540101974185837760629538094",
                "138205941383649224133608653956385500256",
                "79997575861814831474155336391030292753",
                "296211854249412726652487761380679835321",
                "183658917220453742717318558778347749430",
                "315927007349733535394481189476756215996",
                "22147002794028820797075719791078530837",
                "61726430106084994479873639168602501509",
                "271554202002978805637661797294044348444",
                "318311666758829900115467993372147297843",
                "298745890809128647415093464008276782145",
                "107988712179514663200878609240397389560",
                "64994177786665563655756587965102728806",
                "315638801693064770371240822491266221769",
                "73697262289651198978471038446916239884",
                "255002534299534067959130428483847753789",
                "283059882299927613126747972706025287932",
                "308900532420032233462296042814333434617",
                "284267461734778603458389137061538853823",
                "179628363485814265838426546850431435765",
                "75370133237721766888745564979791742956",
                "187761070506301747663821851119658693869",
                "241977594104986154726739917769235299264",
                "198576687275934927978072663662347884318",
                "96296583412946104145478824661247619251",
                "105920313043254762721625189790105240222",
                "73418260116548119515353653478050998096",
                "205046540423945968378590448584789624105",
                "164213681398880376048006521010947477271",
                "142662577529477398681583261670703776715",
                "261612474516511107020396196392084573627",
                "163087159469571158897098122354534592741",
                "191054820132186565934507624217996530326",
                "77713753707685549598461867914132731495",
                "128573235933818030360743733311909815433",
                "83917645426894333773454035176071064823",
                "262598657300434562338988913270708360512",
                "315226157886871367110573235143316158329",
                "335930715695166091569220284005652749538",
                "254885399411527690850213096531873843577",
                "249774061680796548056172361009431177996",
                "269511816714083751410144152397137648620",
                "93380380479206851691779074801588008072",
                "250406172200593079954585837672210956740",
                "147149198501490931320570876298890486629",
                "271263567557098970953187740482791347495",
                "192007573998931669870820306112428006307",
                "62346234774381052463529072675598302474",
                "106395741664654636220432991204822485701",
                "259786766737327552975630216508866997103",
                "118698429264832437140916605595388217932",
                "314303807340355264250577862802096901424",
                "256351840063647557201961339196251347181",
                "71123983839840605592716152746499256050",
                "310118419141255952877384118842019950029",
                "29888106303238889967391766941972738353",
                "44376939493442537720067844540753675239",
                "211703929007343960793150320381300758837",
                "177135472982481479911428882190272641781",
                "310786127256474644670790467445774043712",
                "309177842662893148662113229801648207994",
                "158964100211440197750442189485983285687",
                "95185743809272665987459192949060911628",
                "45319823842211045035728662345696579064",
                "165450034673580453300356273960712851130",
                "195202941852756015162653616258977058487",
                "249358092029758517783279043068230838501",
                "334514368989323226806813757947450399120",
                "308244800255334131585040568957047168847",
                "336756147054152100555235910444904661009",
                "293654377081752399415315811655870824161",
                "130304631869977663207885697475712080913",
                "177671650840020587444851091475967653323",
                "294416407052005093528417181630580866522",
                "336988621150319430818419611740746558620",
                "208252983043545425565514938827709907905",
                "2654880799704185430193293142741566653",
                "61523253622828580416853144499666265930",
                "193824769010432608053752410410550562236",
                "192729678678584130413753005324843858902",
                "156253425011826633059728671918457884624",
                "207583911377845713042973735774303473242",
                "38037805735980164825005091473956914307",
                "72910136539807676109499617462251137265",
                "75572988667124372067720138528592312883",
                "322354573800187578918977906087239549327",
                "47895911850009608328796085111656932611",
                "145510227215440680052420643969060854560",
                "192611108264166751336360572853437472808",
                "316856556952273975373624108629203750873",
                "157846845267998470633235179239085567683",
                "45159135668340798274214738370564759972",
                "230445803266988954785769878990982700662",
                "239513394126571163473440109511630815961",
                "232116993816864527389389723157525368272",
                "182019695337139163989319076991092353861",
                "50889312484995030353462519725636074788",
                "284143942370897094797684318408084222985",
                "217367219972127910037355396998913306590",
                "64139426450739583296830322683140894723",
                "106878644412077515651772670582793321176",
                "136332454612583040410740761981384794061",
                "254204426187326025983239905567456898399",
                "19547111424086281761798994171454373464",
                "188088376737891542659378280633919851818",
                "276405665574113383732958136031782761924",
                "185967363448972165513498706306511180260",
                "189433522860495461869273778213188367367",
                "183115089928731882313184950775169857300",
                "170018872834673782012850027652111133207",
                "188539899929934274408081892406701913948",
                "274713044844609740508041744949386211226",
                "205254778818447405843559564531699408991",
                "144581814080043893878920289174913925455",
                "319509223007399941043093183818828266071",
                "5003977937112621617668365636320716870",
                "142216731910506915865984710317033025640",
                "134152853412924277559399932604642601172",
                "224604148139691644311457706768305523650",
                "285108482417388382951836833138612893295",
                "303078618515825437766413232307184112596",
                "323354075130496538127195518240173443156",
                "7240835563816748252375250270158061615",
                "136327365626758511012941759273322812480",
                "201549641587704772267325870591798728762",
                "6187406705701031425119429634253755204",
                "167361395518735669427044930872237763003",
                "146507875023600287276761034649029926730",
                "126944343998704504849498087451539415092",
                "72590029029937984120727607515993733078",
                "4740595372539391222073080715899995076",
                "135595341597775482152425207119784024137",
                "328530844878250169812860006193602006543",
                "98183709471116039957861799388407635838",
                "206417163135251092741966199544930267191",
                "256778039415318616226595824327266170325",
                "234055739946005205016708500002838811949",
                "188556776478243777863205213662986520730",
                "107633653983832804837272987656435873700",
                "305273489666234736388108268588935521862",
                "165110071348389784587037489302773143272",
                "188443919372196736927040268008365240344",
                "256301248797911605466072559627744693265",
                "7136244000672410214939822479292767423",
                "3306333878896986785961856108460152606",
                "18434370747012533808879113646683989024",
                "161917450225528905709849865982816470918",
                "172327740815877716525963806103264052042",
                "68808793560765538390079015098139038001",
                "289128121762250328054651300722902861751",
                "18777440722647275332421275430407021845",
                "275176575930778191487682062801824129347",
                "326820715957990939397561881014295965697",
                "175406772867389167664042461517259006349",
                "110203719696442826249438794928331126060",
                "257857112718589797185786038374772048945",
                "141586872830262563974523586094508682936",
                "238384746303115402384440299063411746025",
                "337832495522269168990147133438715426145",
                "142057416246862161945323035221070573883",
                "64180176611743027130798882641584184822",
                "297070999552748943406862675796251790523",
                "255589037272178899210826241630236135840",
                "217193025732711194794137532048655478736",
                "243484358577430003407067088881739646892",
                "243914261309972334795063136146627839461",
                "255500379939520557754878734437029870444",
                "106134145314194225870325808472522587024",
                "95936656453196003840863867909158699266",
                "188324043033503729508365416869921949617",
                "191273023979020031592464664456852483274",
                "272615420512687791904393972966119725149",
                "165238752373802655873196319247935645685",
                "65493196469005021811504527404368573824",
                "198489222786452669932900696141340453821",
                "161876152363333175861580006413864117033",
                "162202997682648874641789067930541299847",
                "64639413900753512605404642887003379353",
                "237430803458412192525648143673592494642",
                "143594997849081043013908143358718026411",
                "101360782739743779555097366888100019379",
                "119185143033927932792634622697005530306",
                "187581423659748785272710657780585055735",
                "292277659539984624238642446363795426530",
                "3411384885514431511178060043969773932",
                "321880332711709121581956428114561408345",
                "96508016130312928267357038299232832305",
                "110709174749886030974614690346951790595",
                "205978377026355525587156762553188756990",
                "290850377928342302839592500629746366275",
                "157965110207141865120422049342035804627",
                "338354069567828455565957900414622628188",
                "302220099165540948243338949337268760139",
                "122166628244959282871166452896324668545",
                "288091347898143875489287034954945424246",
                "66195859360337933373143743361920754817",
                "326141626618225573328802849265268099492",
                "75996884659457737185514786994059436404",
                "80397000875006661082725424689956141696",
                "336745610764753061542739898090263301134",
                "165324476062958405219105014871436598928",
                "242016193752184257818088991085984617557",
                "289972790358311090796897461546726387699",
                "169925780076092649625547963637946521015",
                "282255306115146833813692573639882036294",
                "334655344561091740043312064630332452607",
                "178431312020662081992665468155681677621",
                "217913925384021234063393319401152374339",
                "94168014940560296465420864327372714199",
                "317971462696105002943717988344674016444",
                "47520317395026119744396461519347323449",
                "77260820962597254829817785339277446451",
                "300216547721336984349544882537646447803",
                "254168571681456574184889663362932556998",
                "235424249114881929921886567212096930979",
                "52783791871650475144341367339347524196",
                "51165514450703087728776213103812565799",
                "7225022616273722544954588313693834479",
                "98473563748448868475309176165934891387",
                "3805381782371333404022453545978466293",
                "144273153662749640599908738038278990830",
                "300155603438704807695671881494465687288",
                "102415168844344588847600828645486005432",
                "33576993009766321703297153215555143167",
                "182001470539913407489685201565182340706",
                "173267866226495612495454260723550142332",
                "238816187009885464481091160029891138670",
                "305722594614476117982843936813199265665",
                "169736941284222085695856092205134398666",
                "190974418082477941400294113305110978018",
                "181774430997881495805969873401365325088",
                "210783058677816439420895175080425440590",
                "310313237186811412931351236554591962863",
                "39353473066323838996617516056480923028",
                "30152558438093509760886104385679026326",
                "276371260142227926707965731235607463426",
                "101454076346402254335699585507010110824",
                "316523210794324796552368983583924984254",
                "336605777513829198459762764861078440917",
                "235539029627022642501783467918160211477",
                "60599789634632258949484656559923391226",
                "108607799539882782502796591602019706339",
                "210424523968151476299666950784953927028",
                "245704501537628579181032719378306526619",
                "208647481681226800084025189450236742044",
                "209455461540791915211937705281528654069",
                "321480408305331684025377160264856179719",
                "329105570561213460951187836064309736537",
                "339191096617118766309969894432150750716",
                "52499450673508783399394612111425456811",
                "46481735246610879407851069470834310724",
                "246047490444436465642570504003590212464",
                "281727877261997138174584959460244173912",
                "169537721841780009291931647752733702165",
                "17463964021026758522567145965879156495",
                "285416655100564856117809203883017643578",
                "294768529972338110005221061528203833379",
                "117327400274874174995249815091618602620",
                "183311117568186937725028751266102166709",
                "277816855108836931693433261171178713093",
                "250839915504760111042078188071251169782",
                "334267971260308969245622647289354412678",
                "3456154387740075622153641633921459983",
                "125508170289618232143102976189218950973",
                "345799499169856287867690790985976347",
                "146681064587290742568311381123511318641",
                "165799039520400540374943009314284756514",
                "12133567030552501741669851867726129833",
                "175724379925337372745065360315442037089",
                "116106287064648866345467107107224251455",
                "192263653642084045524217778433560868391",
                "94569332791435943506649695981157062912",
                "107721064680567000710659754980623677614",
                "63444650191584261293785899799817326075",
                "293472890443840936690960523387681556736",
                "49123698819520726774359124995235612120",
                "155237955148444583223730032885237105143",
                "196198452087024355194696132319769586707",
                "263022575234244651519220004202663184976",
                "267789457924989258797259308907165266159",
                "53653958110882268444473140245612027826",
                "144259546930839016304160978539953917219",
                "258631155634296568107661425977082629023",
                "131243938556405108843304018783452005073",
                "40693583902107669873414325934765735774",
                "301966383505378992845580292698971501072",
                "249385420439080257306491780446313343875",
                "46393517402765641824842876780745622968",
                "229028241054923106684490342346045375807",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "39625622918060442307666150491604509726",
                "214901771967114675423974911369760340919",
                "315954380763803042994947142304864098473",
                "188923025024115475326763794099659360268",
                "98407782402773968181547207015081054832",
                "141082894679554210327799923133792798934",
                "187605643954282476324059660379166485837",
                "292385496978031127374110827723738363506",
                "162599101775600039911677772254693267654",
                "73623425389097003518397328854836790371",
                "178360272927573321606320986172386083405",
                "316106245768502016844620132156180820247",
                "162988155311573333062265153455267737715",
                "23034317175322313150765664505208568459",
                "160172420007399320515731019201222658239",
                "299312284445288695761782713060801819178",
                "191869575077383008451754982900517133223",
                "140932095925848337453709307022245653180",
                "71788046946604303456048719110691844852",
                "309422451064413893791375534399221657490",
                "274819964960111680914748926409815535800",
                "284965868045076494074161098744856929108",
                "299331095065410567724003597363936687946",
                "84987576263670915376224206445585989633",
                "64858280343372950100785811496303180992",
                "244030211064580313304588473104387959603",
                "24068697364763532933236660843732822926",
                "111235846354362037054957852652343430957",
                "221855308169554128384647856695127651520",
                "173900478267232722159287938064048552372",
                "66354731835679423980237560629636610465",
                "294003221606528224956131452067093885407",
                "163533178264019017909568902493873438090",
                "309285709871492849828569209333109605263",
                "188632677615069859338775535270355394387",
                "90628825855075557320620675450407421059",
                "230986752892281194949737964265721592662",
                "39018689826636081217813024410495322090",
                "215221995689173064731104044762999238466",
                "316145200255205587378707535804743008553",
                "68306610485310071822625451792044848379",
                "169395433278232500565037379556813931962",
                "141111614085336476882858639051107250468",
                "301197582424284624726581319916078449556",
                "76473956478760847183530766947691079505",
                "95372826492407428276734856470485215394",
                "213041017829995739799814841188077247520",
                "8454605689221742605639696394613772933",
                "65687282755528585624280553431823337884",
                "51713854567206807474005426209570329577",
                "285538635126419860161665558926224217709",
                "241008071627519158892598280637272637836",
                "304656242629048510412909945222277886508",
                "241392281020877552793659008871343187481",
                "268009008755805187076650664151026620604",
                "8483583331102082997783447039087182998",
                "184665570995949453003793113020887437618",
                "235612257402096107743570871258048632144",
                "233691113165755293713764792361912248314",
                "320877024867227614245553691926304071478",
                "82059880928642443250507442849129435052",
                "124944123251709422265515208580381830536",
                "69918381364046281851263419811414035280",
                "134910327186101157925229863635610598196",
                "205315500432624423574137221454696886548",
                "225814195580443485374084573595511066974",
                "267369261196015423257769359688138443683",
                "41551557308885582579320044828002801164",
                "285202158833069027571540145668070480376",
                "223242464288148069956407080613831654860",
                "263081238476340081164172589454176410922",
                "192518484676427975775495474256509177625",
                "191072114372329652539100578839305466571",
                "115766464473501540595479072990199452823",
                "268678299829215026422217454883834983670",
                "192614765208534357217855817187091854825",
                "86112138198398864849620588257240510185",
                "318566694249223810134195807736278279143",
                "30381982689341647935295526541152246213",
                "262799795595935070910166443217050640571",
                "58956879331364365798116142951989864302",
                "247803701857197936572150960062881125343",
                "71645885901846914417692848376300065881",
                "49239106067614105962012414622606561960",
                "130864671226030958070857621308150541380",
                "105887367134568190168899548383423813792",
                "94853276404338105977123793774923136927",
                "106628735758048315495312367582676088840",
                "297483946155897264045176198036032123093",
                "280908224754934681981010787848953500620",
                "243532536816534123189776045411059813755",
                "36864757657312312214356273432079874308",
                "76269819726133892209464194503523344237",
                "289697856733843283723204116591305844607",
                "213235588330731940294346139109640889260",
                "98667768800786293892395798770505678427",
                "117587333010169201052857540478433889055",
                "262936916042508454833770752546339020144",
                "116574686638367939141179829501035437176",
                "113074059942942266462155023061240458118",
                "284703104913475389826502688114986475335",
                "338094855658536686547671480156207933417",
                "162890901498830643023603625818288516254",
                "192209568946118939345925688548661495693",
                "128997766957010476112972232266735605690",
                "184147418455352375393062582700203119430",
                "298780982640426925227294573939261925348",
                "289766622863778863436194105004932315938",
                "290566077726469712081986219344246300155",
                "161770165571048069742224908549773551112",
                "4480937477622225445107770997304102077",
                "295022421422051551543595729294373849349",
                "26597686162349480239118605606957759325",
                "23387157838490609322575044600078063944",
                "40633058758980215809597726307863660049",
                "326744067824017619385212897215388685852",
                "44141179610082329734213255237552450443",
                "255328546344292501852886892575186216093",
                "310800265543172930589197131457179835199",
                "11873914050402759715474651042032783292",
                "312549561068779290431441376610815762590",
                "159447738927657384703062125993163701646",
                "147543073684562795781283621699277705993",
                "119363823521128407549931973520553813837",
                "296121594763371321874305681560773396613",
                "36395539461962827960913043244529610050",
                "271096129393962378951484911544596446151",
                "42754306028310806463871771157120141087",
                "182615259976112561009210111325349277491",
                "247017830208619319452025320161255999228",
                "57716353936438358118580422869889674490",
                "233532306644040935778533170045122286900",
                "142356629221709791051038047606127065057",
                "147715908298051654468352507831110640415",
                "291447871425416400646048387511301975201",
                "278817429874175486439371963051840287924",
                "324441262138955946012661147203480057686",
                "119451034654074432148453862153381634671",
                "255791543650978947116422142398692073487",
                "289399241583492227284850731876087479713",
                "283011673213121113577479498823651032718",
                "202173987841907786022024574565981174786",
                "29813649384367072077455055265893807545",
                "118156555249181530082263270590389080341",
                "181566586909325100727865931453479150404",
                "238655357542182586322196399414308553093",
                "231442720532718337385953331677017398732",
                "52559469428913554089891885055857745326",
                "155394926201423071600164262972168497199",
                "98148236413413377441343360812125284770",
                "111224004239879320608087000489521007400",
                "140910552012504018873932312793770277129",
                "246111676833282781929751806281154003179",
                "225151519536251836689779916055768046028",
                "48815582695984378482883197958446147465",
                "198462082968709334644138113315189369731",
                "93376897311368146054626408214425503972",
                "325421233784896426527696590284897754264",
                "300851183139439427709567701844424470634",
                "302014852818606806492775201883258768674",
                "338867512282869597392104666666604725120",
                "255601034371598489257720099148820858498",
                "94457786976518667061349051142521834413",
                "303470440016703523034128477627049290523",
                "307979064124120105490393772861677949441",
                "162170205292528380361066570788512802846",
                "131637850572966760660654696563073957526",
                "323883621997239700373031974518901112543",
                "184736707062842934167182902338743577438",
                "320089394637897628480353773146051948647",
                "106667453184809247632788378286036533046",
                "258619503202899804849508275797235565023",
                "12380441852137573012114255910978797529",
                "303105747303458020041165676554317845922",
                "269996417709257927242127006033197949744",
                "102533738397312459003943671228358197905",
                "92074676647385215045905995274840407298",
                "219664910311757437475691479081606341620",
                "143379594369445878433155044222188426105",
                "178909361354999336219718967817980486716",
                "92339107349240375911024221695769114083",
                "272981204360488653043423217210303963595",
                "162020893215194698647805873257843097718",
                "50210951491526526511769624688999793861",
                "65089688346992354038436359074864506555",
                "34343723963357695330907592571215346585",
                "293541720129111573948081873076126736591",
                "168672732106186794007557159476962270980",
                "47168268022571878208425925818266436273",
                "279769580255177616378652429612137338764",
                "212747289717791842623399144333111213059",
                "134499335739666290305236951604460455182",
                "190770078647393654141825862227437548477",
                "3156054200217616617444711052431199115",
                "321349617809344761774292147478421908723",
                "262967101920899002242292153637666817770",
                "93780666648080888785517854399343206382",
                "48648331916881158782827035382860054719",
                "104083806684071533501955342691368183923",
                "131317657151800088783271595599251540663",
                "227200501409139467637941020177647985614",
                "274225691586786914846106174337201990353",
                "308492436006485758828154280724001693861",
                "41989870956531931110935463924571562860",
                "240531565045212584231455573751849998715",
                "41900697643572787231707741561150246791",
                "201231477591623326351692234504750454831",
                "323786811576733143143692533682650268882",
                "290029107830928283439613298941142417238",
                "275423289999826103202511297785993706249",
                "122310151522474692433178611517390224006",
                "202399642769554829583692367834711420155",
                "108761481558327859439476592760024411602",
                "168784708798869877000833777691453066331",
                "104469814746876258573512139546571785696",
                "335869377382752580259838147950596766435",
                "41483131196433258171113536333745452271",
                "211888745697956188075988896676193821706",
                "31266241825984133888904193674496643991",
                "328312514503194265126065859824014706537",
                "142870439262862412790647015255504793714",
                "877193578462974755680069866549462107",
                "192275090949431946328059683421110699885",
                "200414324603032688044657370847586594250",
                "109403811906356204113128028679191315220",
                "79150469112608075241103655781217437354",
                "105846485403590183411054143933768303808",
                "280233295343040424548700412212352909319",
                "53215684632157401419571274433773742297",
                "266789677028288362915569912171024592593",
                "209929107353022529374216398214434551911",
                "20790634752445318181203340938971967050",
                "231965751904798962725699406829834165758",
                "84066223463718387247728985205451831210",
                "319833532594322593838910044630313322535",
                "315119941971490436502168536190121817647",
                "136733379382083306412660908587103543157",
                "30624612905847496694177866100904532889",
                "14564019180914497217617950475687355097",
                "105480015648662293531336070601312987848",
                "89338489030779966707681201594974233624",
                "213920326593055909005590834221719580292",
                "282866473742079731682742165471479897519",
                "322058611842460139420729216528184697827",
                "96775368254444863653329763372584509898",
                "225297241612243339551494056524621870970",
                "338437082087606529720745863602739813323",
                "37238446413918872119335388010292870509",
                "200760175968667066939094000376572073496",
                "53552736919745301301833270758448600206",
                "78730173267736650995797126090251225498",
                "12847588875408154350088563561266905400",
                "308933549784413319474756049698139256804",
                "328367893141236470853052656733964397276",
                "283313186926991416495839858984112676571",
                "173052805838577433927946389788067382490",
                "16696400566632194293055296894104563591",
                "153977558514379310822132305548734049159",
                "284224258676865623942959313883104114496",
                "321494997619815662105480343342182549765",
                "44042307119144290953129229649580418566",
                "233322590710397129684293862374433812119",
                "45795358704517786372921285573560698266",
                "317617191172818830877931990509390696119",
                "240045315042987672258420952988738631313",
                "2403397977175240267890207736631008017",
                "122353536803597798736619771096750439746",
                "275810373441765630946106479008581078069",
                "54527558535907769068873336604731275899",
                "12169119841008059122107335587351353171",
                "210517580627922793123677292866556843564",
                "140858211236175937439109238502780927741",
                "238118786648031647196265891894069168682",
                "155368072741695142895971377474621901371",
                "181892015522510393607583003149235778429",
                "261930883344518593877835104435663154691",
                "120823530141896469248205652795737695321",
                "70700625515216205178809166442209148826",
                "99529559704449681676703634230568346646",
                "294194906289962406358917689600897444416",
                "100441930953782473409208108398335633232",
                "60426712695023861236809970330717134552",
                "247342894764185649485141345244945105573",
                "63192272405358166010704750553153017292",
                "43593625863810324204768686813465534882",
                "156993337303824545415960460313903001136",
                "254700526396602352316992029334909265664",
                "6893969770080434403770300323628373727",
                "101871276233516219185077277937417462400",
                "304869532895302498153136879677513285742",
                "59047042579692613421054064552220709383",
                "52618211167142931158126694835559092097",
                "204355899848661455328632212746824508356",
                "293680282996023466615062612999850372134",
                "29273025246370761750806441770522797649",
                "107258790673090163292541014566901992561",
                "267418171186889371351940258298521445105",
                "140229298707646153143310161485323195463",
                "12164072966506344054974116479156281524",
                "76212445505771100027881267111347096697",
                "84961322292390561357282033658925540188",
                "115974803209934406841649861857257614039",
                "49165578106146809462807702826219087009",
                "161088643275035304949048733175428135146",
                "306156978778941010843416955225816135013",
                "115630056475027545164609312667539218616",
                "68096410879876775572222848310918505477",
                "179376712092125271851612315029410940341",
                "103832635745094923071549301226912312301",
                "233968601221991459595718314869781149711",
                "156018208664891528480406238588658732822",
                "25007787233265448541498023947132373234",
                "259232164470301687560767912148471807089",
                "83842503449809060336947557050880896860",
                "127412505822644688870104989603135741979",
                "48352327354133946851771816265010021911",
                "4138265460159726278258332381207245947",
                "267020664785778319691652486941946936797",
                "190749692621008463091365824409720392957",
                "307002860037732217041667919399857418716",
                "232744116376570138111759661683532314912",
                "106531227579811627906483101517122338234",
                "206415052405704754303830712611421811484",
                "69328584278212814294426559235018011844",
                "152906394012598244643756614564446055092",
                "62415037645120316507473294195200573238",
                "180741532170500593111172150780008684334",
                "190354419174780451055859790508506503135",
                "126823958661702475787468992789163346014",
                "84594219057007206047071609226921816765",
                "205690857079122519984777499194274949579",
                "313601197635422021929479121168606928665",
                "259809349192196456283631349804502131798",
                "75935107542556577638703815406443656950",
                "325619850161543056000606528905761133560",
                "280102080507264203604003673537894366105",
                "4581906811709312640359622996502953212",
                "84563341113818238270455653505885634787",
                "141056500961327214698423744133536566504",
                "147893307640696006791733180009925518155",
                "146850232268621100833684734135369564989",
                "270640159834640736108434862645323506924",
                "295716387693662399856500907440876055711",
                "249859514279363449220374924230176654185",
                "205094660431860073294686798148611173780",
                "171114303165419921834802616557708004839",
                "323333236518481639648445823630619744006",
                "36302861544459986017367798112580899148",
                "91790616327920270747780787934199755516",
                "74695770448630362230267904480461130684",
                "23165529678600177253064894651364481150",
                "25828023573310153333648685153588598299",
                "29629227567317407776742820610649957",
                "139040657107879655087473314055082437775",
                "233737393743610793673837647337580277246",
                "174267332426376950562024117978137762215",
                "233182864120529306735839375662918673057",
                "214186190849307337415489553882973907865",
                "42862237009500328712243118595715691297",
                "43644710399517923698483566998409449062",
                "192969919763002900553379059662534827392",
                "325488319451562676194085704626086814269",
                "76555474735736720950286479462009973928",
                "90087335228931414274440664932615995100",
                "78395319421614853095899980378680260956",
                "242854732182008891245158609548869755098",
                "104341050236911981635091767439383737363",
                "15309487646518683416609525251485300219",
                "317873051810742781696317516217959925729",
                "257199832829262607832823851894828489025",
                "229494393496058096458487610160967164397",
                "281046048970948356593117589455215908163",
                "250330522808753391042863138729807471045",
                "173504865065210242458919021948962677848",
                "40357930180007471939389834868813356749",
                "215110085407708547142694238036713173869",
                "17818188892280719973789256620871604089",
                "6347852085768165325117092169734266297",
                "167219920968037556435631169616335661241",
                "251442944138641077415464398191105241834",
                "268652652527882975106914678093283065229",
                "317045724127688750894802414039482193168",
                "26236388151572176632956295321432387722",
                "265542180609430062134346135499529751274",
                "302087744977601854302409888112466516613",
                "270325880668118823427796855070062523727",
                "64663846734353121633270959746921470905",
                "164901980406838235103799895485834167205",
                "166095180717044891763825918647657307067",
                "155012043888885889208458099082165756320",
                "212780791593581266970615225593953599351",
                "120259122881791773712314042412566938081",
                "336586905360209062628531009315104053944",
                "149845064370681388873953274192095120045",
                "64161365566248945660086587601902148326",
                "81492752554618189867558640640736509031",
                "44662032934679168969786779994336134455",
                "67887551209418195799854530979961846862",
                "336847793387016417988193736403750260557",
                "82219324807852129633331303963237208418",
                "52666898525489032292186331908902601360",
                "276726402735460017417643986949855803902",
                "101403638673383243745243124973667342367",
                "104414717483509363443683755254271775009",
                "217738034164935221836891288584195997196",
                "169684638814599967318973915673302081530",
                "315937101679622737084703799795537828973",
                "129945404145124908873959267949068454636",
                "193024559153214839634429273695787271449",
                "141514758892879168128037760010324120211",
                "265818532019273903707483175478147501431",
                "98997784678865986425109420769635812059",
                "180782893841716051880585917800388123194",
                "138228522646841834430283457986406684066",
                "265287346627317166529391601397507401448",
                "225026159296708605165669332782236926944",
                "248123618048338426549030341768533471778",
                "239890243263571641713966669633176858351",
                "179455012529924325837328187451291565525",
                "93568242408033091020374457896633508533",
                "151156351645030413262767744248420759679",
                "313137399982838727380920720000482084494",
                "78734314603172681349998985999762423579",
                "182811184440010787987716346270407680400",
                "269838843519270362827468634115125868662",
                "26464287718677092661515367915632523622",
                "254223824779007288510531001044234447632",
                "131617017209765742071436727775136353024",
                "270943534351725372565208355990723196751",
                "269419866446340531675999112261662753952",
                "319606992661195789144212825568581547639",
                "57185339799333630627375817671334957668",
                "297237216302651531318751596193911688111",
                "26624610538037907173147260857281355976",
                "296854326171556632184715688704196032660",
                "3703563366000088684048966991928571157",
                "89043397154173555461994937411444953056",
                "177894067260348873741497726616710727827",
                "250712090299847505114489461790692094071",
                "215935668634833502437411338763873638299",
                "236904400820597111242032838528049232536",
                "16660977322380856265494589763956195200",
                "3609909385577389116098807368951854387",
                "114989183837603392617399266939225998772",
                "112686511776822082407677890186131970026",
                "144549164687528874576687854173582412568",
                "63548561945181390457445644947347105102",
                "190546616855692308763048007276310150499",
                "109231974327508035793174188091532121058",
                "311486269188099768027560442259653635872",
                "24293094246245071139684960562996078491",
                "59014057067909182310417910944300904941",
                "231394157422245387860783814772632194830",
                "139636232424830249570221297737287840846",
                "10883135106019253312041167963284496972",
                "469573254917962950052419875911957041",
                "138947707530095788665115495446735482720",
                "101612058598725061836112514233999431282",
                "158073403254174393999790364230491503519",
                "301848384398093586495485588339070963511",
                "168154122841244251086476014654194110982",
                "179715208526378475904600607549184193228",
                "311715029516584140261549116348747345383",
                "54858731300506344814801340299225182577",
                "229637448350654160762361871739670663962",
                "44525138953931300772050111467677353455",
                "102105475371242628760863062024893350074",
                "53909566089761586713619936129875049105",
                "77415997859642307524115455786548695963",
                "40518912903936467046876438391439488830",
                "155580067959061199330150038507208611697",
                "138561257003194550725919947096070936684",
                "155449124332893271708504903817622478652",
                "55220251215798362034196892282642797914",
                "140123514250662304306327553638130130851",
                "159341298037926473468579304092820245671",
                "127012354230492582863547954014946393848",
                "103984840132974341250483316598706686257",
                "90117149065536907913360981312012545655",
                "95903434241523149556546667980215741489",
                "261095976725628938832207140343156568902",
                "314803060428440794428944512677802779592",
                "249519691807915826925931909460493244821",
                "317002301130834352051706005410711969524",
                "208774028821284391488442604244635531169",
                "220303542601925058029156994137637075140",
                "180155692681755600824612593280627054617",
                "135393946677144165606596283035081249621",
                "319037741541770296932398113218601517095",
                "318334345598450024472761643666386478001",
                "176257390139233673480957845889613345664",
                "252983043447549987497026280803722616642",
                "119217518592202426948530984081860551227",
                "234256005751321902439449193077300194799",
                "278873201116760253901026377539858170800",
                "222496116328609073006781516634963171907",
                "115283151325229418797502734825325284665",
                "145804949552463544134324072493174607826",
                "10628504155488509567181399915098537084",
                "195935614414332350684725525917993614152",
                "326986072938872409751810680390430700926",
                "310565710304342869606381666473538362324",
                "234329117972520492750197591705344516080",
                "70924523967923346751914034058653003666",
                "133974921897318503500874383780737706596",
                "249546038517156760223393327140876506779",
                "69775243280868395622331257987829088054",
                "101898376273568198647602760771185835295",
                "259983171615868650504900959826503237314",
                "174336641293764795453625440175572229039",
                "124130046956786904937353260347963524544",
                "198004507672927141849793612220507318781",
                "14792026415089603837667471738508991526",
                "279653212535326155262046779957856004795",
                "277500861294363243725624599199560555962",
                "165579878003861445387680909811447059757",
                "253357895929560606586792674391148118316",
                "191914201623951910568291278376943497134",
                "101385339117615216506791866780421589357",
                "5568155840776001252251894730949289699",
                "77394071021785995191002134719000532189",
                "216312585597022060235785124148718064349",
                "41385548556851412526400128507370782426",
                "52635181918603228188251536632318294041",
                "91030941038647189885475775812305856914",
                "230449397827084998869799643520569260322",
                "32430307546676731521309545574928184635",
                "106605591584010667169100042042676346081",
                "75996267396716534779171387199637427528",
                "323191953240760212107790306222602994715",
                "280776872256024893279121947640173423486",
                "43743973173376268611922634954728580279",
                "111690784541464799364401784406408313269",
                "228827516595356731604422608596755052539",
                "302551834825190019379064837764473868263",
                "55571453510311027275443685608029830851",
                "225534249666168903360043164224442019849",
                "6218497451981612200376214478247231012",
                "107343899527597675364134473503954154612",
                "81421407033806999910652718652377969414",
                "134783440812869052908547464316743396007",
                "285078515961433993839043323689877020601",
                "113157984928662633241298256869677630093",
                "330579438144651620978093101001782745599",
                "218504600130360249502180024868665600515",
                "114720308324225068526723171217433099663",
                "51967269589472528916051014424437764362",
                "159372045118269345818753316791009775276",
                "227404217012706116897977221859984776883",
                "156608207559554136055422631024769307062",
                "302652876549791131290428923844337071959",
                "282608521904598588440859704434054126479",
                "288821339027378212434327128481689882604",
                "261054491236781809905277718886588336253",
                "121780278759945555010367397717984740251",
                "34777461951257105424096892364043814992",
                "190964986717717620068193019509243322193",
                "201729741858999664756130954376415227752",
                "169190995308008358536825274432482448883",
                "211153254023136676337604417207470281744",
                "38187457078388809141077628333545724987",
                "204638353363800097673676728534179168723",
                "91759418620461738341748783797482532346",
                "246182201573414822212104784872491531443",
                "271879817677459773186858016142039401148",
                "195355870426152284404052979743660063925",
                "105668870928685493760554675144127748642",
                "207348979762602432442859741111950262068",
                "104224042678894914057816047012438678671",
                "176654755111915516778792160070940167464",
                "189711907970000461221564398782136343043",
                "166255658309920809401096175057225922044",
                "202012406154026915262625316126732375964",
                "168963479855458544903617184756637115898",
                "37325214241142991385464803510350987677",
                "175354904941454140600708600752381806657",
                "312257699320403132015480774309597985668",
                "27869083411742200257763014540304794327",
                "159406779785146959029289610705588493467",
                "105813167218336210242937865812185104313",
                "336339218627232366852756224535874589915",
                "171001384362015785179829760330253528392",
                "218064364058271588111486201953391295223",
                "162610385850690306408707046759776900829",
                "267770408173813550508733132326233639772",
                "111572670688977618479872605855070454135",
                "74676296484420050429406130236668447161",
                "156277745724693707957821974184845552076",
                "299685515525583499082750018778023889647",
                "5377915228785536453873879738139324704",
                "153264552623232216035129982459845367744",
                "55730944398761823939167795635469764132",
                "47867994274798922644204739411772211029",
                "59580275286558713431580281966576065005",
                "316236667487193272975343669545922394209",
                "329679012631102198075012711951366758476",
                "320472471530340671159961450845180803282",
                "18462705590006367242560292983134936181",
                "104570747779710699735718848781942650615",
                "137725288715117433640356299524130947196",
                "247176171050742580132587495854351367830",
                "289088948054041468373678798848325325171",
                "217646612854294265683153514000159875591",
                "175849753310553781819330493004307414060",
                "277254771861060671741689417089057589474",
                "94471223711361174505163024409626982633",
                "231766085406033631120817028747068523231",
                "296635574793936437078212812680006173911",
                "18872022588638549925664762348617635195",
                "45607875203394556701750937019404182624",
                "277106807860207776063918171241646437874",
                "57923287354876861350836769805259294608",
                "219764875514969100437822096850177548248",
                "314862087112273428486246477898366596994",
                "64732032744167459015071680326825702144",
                "87545845659749178428660556706078327905",
                "25767344293378961553960068305683446623",
                "243213736649126012835951147583957923534",
                "174915927812182408017967685599675428438",
                "4280548282331007349973429627200870949",
                "138728592366432839244804468998769696485",
                "230293611235841645280211740828940502173",
                "257010241802494644025202404019369789407",
                "37826063291467029355752950576212091420",
                "246969851042374437447377135860035016",
                "61401284686928906480538428730714960141",
                "249947393222854718892145993477762048583",
                "62928839703987519160642128958295162222",
                "48456133152936346531784787581143730983",
                "124687004778735419165374301850999171659",
                "299190335950319519356601329674720453803",
                "110140561058992907545957214879994898302",
                "40983754035625055450319159520152746915",
                "300761548924634380836172969362710371179",
                "4962865038217831389380288598077521670",
                "250094540932295243049617379087616566479",
                "96422606702583108827267296328473341928",
                "333839386637467811554035820055472950285",
                "81021149044225627707961324078128852400",
                "154077067620220126796594558098625769487",
                "60768807097677937925994075679101862104",
                "167081153808400546178261810373197289771",
                "183390265848374534420558173809590222882",
                "180978126516718422332591200844543076418",
                "139930717600170475429632013998096574877",
                "40278088164258940580218740792849360691",
                "338178952478940224683987904847411924322",
                "281391328710024138197388749826588272193",
                "158071315381611809306161422498688669012",
                "184583510360576731074445627580365102347",
                "29690765267989532087833515088076936191",
                "125797604608693347362266841996797071088",
                "99844693240272494578600667934138327630",
                "327027356450815134161943821497752912591",
                "32425367549572152788432577227516099610",
                "237082391804122240384914996227656207328",
                "171314606120473171472343733308402442321",
                "126465977215097081047418086139303364348",
                "297355281482817318726707032883419906391",
                "73456953838576602001567848168367398745",
                "96284791420208523011931400027711903823",
                "233269727465972179335913920735365979490",
                "66445388595342091627711943302106146551",
                "300382378015784215226782221605130228414",
                "292205774602911140311080926338875140024",
                "98411376749104162806512015915934056718",
                "236403772496436475723185564788767842763",
                "305105934926882391488074130280813499479",
                "123467895579958707114517220069920427216",
                "308302814234730309395847172564782372631",
                "87042269835595690933610259447559311779",
                "34760113157516264193287443318214117073",
                "218782357672312929262174326846089925391",
                "263420484532118237842114214005588431451",
                "72229680439251064117199961918510346755",
                "65727984323414700808377521405181248821",
                "108689761295017952078599956806323779422",
                "91963220930256572179492124418284096731",
                "265267786241739917511374418064237705443",
                "252704004818397201334238875801339191469",
                "8393632926079079784909438186757510840",
                "331127271764183713623315032777652782929",
                "120420475435407658551849021082712654100",
                "228007362199196099811923040355330328864",
                "263184992901707897886663470723834574089",
                "93963057127617850214366990548204321722",
                "100712790828204669569842636868015996301",
                "276754533452749421875783123798145178194",
                "118562298785099427505196202308170792880",
                "204201949204723468890038005468529660196",
                "195855937758291931817681095070564292950",
                "289890393647212297499866048186954080742",
                "321020302964156338069330340300463452807",
                "212892519087657603152175212884380153370",
                "111205054265463363360692559641760993501",
                "113381176526143360213036889447524841066",
                "190167187909166039414165867408377972808",
                "270739530085861810203661692371605876119",
                "116014263038778129995044304659528160629",
                "214285482125501837639705030726174982585",
                "264055275405076355118689243399549375987",
                "65656580677019434145327295171515921016",
                "296269038065586588021023301897048123023",
                "75822848085797728109075758525514875268",
                "284978469617097156558910120810576171837",
                "128149357204039555839090925646250410149",
                "326523372913598804614246113304014920528",
                "43380000159997218375886004450040208348",
                "260015346016610964730478919796415841855",
                "326732192412669385439738617041055946094",
                "128404144192344672722041458314126691542",
                "205156628560956319843253589946851480000",
                "15438808685941501640514105238256974217",
                "323879977246297941931528279917367363783",
                "292535246937304867231830862513523456169",
                "319855091964004902693067348482375627717",
                "111745285711189083846247303449889396220",
                "32953415299040035604796911030442179048",
                "14457240566332652060276542553721183330",
                "257299897227477237931333951771083046564",
                "299591164036070485712003300096969511502",
                "337869489653647579013014103971506877466",
                "215861860096631968993286620965560953007",
                "261500974340333166307546164604180479881",
                "106794521313407894897966989661767565215",
                "112106647824888504210609182586374158654",
                "40091260928223579475076679015479318647",
                "21594071944166132633555309835250786128",
                "82653579690851677194983308920268810093",
                "315870498041731979578958247643732291835",
                "175567524409226706007855662685520153053",
                "333181885721948751848937912777850069103",
                "18679553867350343579555565341213650549",
                "83386844600143739847114688159977702851",
                "199507392557751481643335129347882949826",
                "315480321426244716739420964125947422101",
                "326495092247766747571918493667074501849",
                "50463177324371026650641106879462137414",
                "102518349848120356622674747136165902499",
                "80240384893530867112305402362406519544",
                "264916471282274873643945785645011619475",
                "135063542309021330678167706403448663892",
                "229845444198043666824378118540912985530",
                "120595376960582392951111285682084440233",
                "129525997782944296687259338626830888819",
                "111612397676512535318746161909779691240",
                "69985437186137207136330102663474276778",
                "177541072809386627538710139069954739749",
                "231184933984669442316284014065647125882",
                "111021290882930332808918885744235089874",
                "316290584290845931268942908279596251805",
                "287972162095167522253659276752478057796",
                "100439644385422770448058396957163200584",
                "43601025899049106870622148896218253598",
                "93383940517796686413327391212031246403",
                "282403904198117335820379769786652231032",
                "269203366125761487110102503232829112152",
                "73114914093009688659760956228537045535",
                "6487176200468777699759508081946198295",
                "65985082030012972508794239321876067862",
                "149901929199614958642620615643775294364",
                "333014927394462372871939701757915632839",
                "246024555859091323171245553324072506219",
                "322333031855099078568901601398524742789",
                "14355826797858527136133970131090115686",
                "230308847783096660511090598225845680689",
                "309904819613747050570175909853924329433",
                "116249801744090879150459259144958056037",
                "111450930044721142042880012533724109203",
                "326697832285249714931685778184907365648",
                "12969698913227146326703219367477427319",
                "219008344991429584560402711103683980379",
                "320542313555576647705879600511898830869",
                "175635354387528468156204087740695185366",
                "103744931792361494679731592575139710822",
                "169773363871396787973946393181679615539",
                "245584819414771742345132956474977887657",
                "32299277363220815400217672878696189854",
                "250043599477992338492439602942613214854",
                "45231477524406262097888758628977931877",
                "257648137587679311312985350453811732987",
                "296096081039539248919627598132959950780",
                "121876724600344827235431550983457459803",
                "118548320686460577882762230463139869461",
                "171860808229018538390631743688255655400",
                "22160000583379399577257334319898485149",
                "221081095939340285193303811828677186696",
                "210323350053934346432634989346143195433",
                "231316719539443788791879030970700698898",
                "216999262317633535148257317952488817148",
                "241486705648226445330490724625269251330",
                "143986689409472917986173725489963762660",
                "132136946012186783142856996754297415883",
                "236070623521225272391454768647994121988",
                "252343260044178922907847671081026784054",
                "286833727257589004315457496893726381262",
                "175935507488315322117379711576388561556",
                "52501941658327544833973873706798629045",
                "141191741046456282856820310159467065402",
                "65730061505949278838393700333054843263",
                "169546632115733560774648451117062987696",
                "172128540932240177166151913984768845363",
                "169490838815404180014288386571105568520",
                "177819610252059306899896163231392343225",
                "279596202406173969784480441311454185228",
                "203908746022196730112270000646638944716",
                "283651807616404672383576648360473662356",
                "35753442935078534205881661556132079615",
                "169480512269761223679667522674763035962",
                "276425902394905353889438070501696646009",
                "202427106990598212905273221730182514584",
                "167794485665976192567398825159941619225",
                "37854967542964378639687135988964373854",
                "43256704973071082193947112726351676712",
                "193353183745833497331778598984825641555",
                "279476579668629044306134681451729401401",
                "250757302487176650030541422547449069400",
                "8944508128351506340457249801739591491",
                "54975761250311565964543873815531598023",
                "228263351287129962901466163529747028217",
                "57271493595467717501382984403809984841",
                "272814468400175081526758077411749056771",
                "323057779424183560426505210831218700289",
                "296221718025335553917924897057350004088",
                "8560037685345006623583015324002698257",
                "7639671950108949229964369687564166648",
                "292264325989896389468205565268443334934",
                "338418081832393675373374869171001180594",
                "247591526958863996709187567857227332200",
                "32361697519601831749456581291579475049",
                "28572135300514395895655092484659313713",
                "279999345882645386060970066848942504654",
                "284443016700014579795109227326892719971",
                "31749759246867396218809160040190633593",
                "106756794719661853738034979388931599403",
                "209522849338415275336920611231552675160",
                "17538397911730844145400151266628435597",
                "45972669295169584636592565071173732813",
                "52191764688921200082911651494601565814",
                "148296248498685057402462199438119002798",
                "230892906081843424799198205170521851094",
                "334458969294708588337704189949920414489",
                "128334496501736722362286773388903501560",
                "170210018014962540099615027869141499332",
                "56454837626820759293316896174053465017",
                "78382153255021045888874123897779134745",
                "291903735859371785011706879978446894990",
                "213601807551828998959077176201276798745",
                "272014075389609030561737116157566991910",
                "313044715609839495564695674273675135732",
                "272532308138310206033044801811656129116",
                "147688465472253413613275516012323733681",
                "2688086399685704240760566839043810542",
                "138434203918123488886421319231671116605",
                "119595342402395371468372480975468017838",
                "173127773386830900965780394766683632079",
                "117186053992517542574511139496450878933",
                "6201723619343507077584656069611318776",
                "185072852071173866721173757903803461931",
                "241842228798879414839203700675095195880",
                "215534568111706335385283142417623166031",
                "7870293080985454893455653879188850205",
                "273688895786450697112528928380422173835",
                "241916943983832003725452369954413507801",
                "136461578100830997750023635190408126003",
                "115299357190893100456790887199246991265",
                "216862280791964371053765112473386580667",
                "107867880842271698354664194719565957423",
                "327381198244685558451097998804137079037",
                "67854347834878602431608101512814444516",
                "35088745062230180329806862666849649866",
                "21699921685622181931046851416491640461",
                "50853132287122744518465879938676011707",
                "114965606826401682544428638682643336377",
                "39922198877780376925962420399074510101",
                "74936131571666564492993790404314211091",
                "70569909359801407094441927839759702541",
                "133650211389033863559387648124183844741",
                "83117072312852983318052997188798518635",
                "293255533373491512295129276314231368961",
                "138689793542754830918684471718382676264",
                "140054585413011911718736529287713541457",
                "218195803593976155395096664357405142853",
                "55483312174153597951422574346344717822",
                "222493466540363896439587307542011602928",
                "197716188176093368263027365790630174337",
                "236940856829130594779453802895363761148",
                "53043155213481307167320613098316053699",
                "176613993677328685644665015575549658307",
                "305583615700930267670611958574904269621",
                "113257625859178825444275968016499704509",
                "324321079278101904234209389132596477166",
                "187981576551765486039269402788539837594",
                "259820887236136697385060440685481467210",
                "17362800072823229053312696027979656825",
                "223925843033328444567913306954997453578",
                "305214085340458176989495554390046054463",
                "220445466335136325797100151710759368693",
                "221971796753059382161586919109970020705",
                "170594727044747067237081537137391175159",
                "179442916761522512828732711646655363485",
                "208519697000178781333411138990657690128",
                "40288595621869588756424923524203563963",
                "333311394430331020948404678061241253184",
                "110985707703009632317923844549646688367",
                "27480435254747227039650286532531113546",
                "313155482427546609328703109085180609699",
                "318835383079425786919729135545226155227",
                "25703329735112835556366879906616084076",
                "136830502522184308117945415848001769298",
                "235833309062572346899123187759900415445",
                "228070231383412911396024026163304044292",
                "45307278520413740581206488949414099451",
                "129818158269959645237982904474671710496",
                "42751798243117087870106049231927753555",
                "118528879154788637743195972564193975052",
                "177246676577206574168520192503921015074",
                "65066793791899668898838161349268380556",
                "277701106814908319840848014139590342897",
                "156208972296857501041503190495281747280",
                "121003490791944337402745080930762356066",
                "233682835778581562262640157631348383203",
                "225028733038304507026091454200331905071",
                "10994304142104922952018180750285664068",
                "104610439281993264773050096750563199951",
                "106529625266274455377764085569752701040",
                "94919386398570752952619719865992683596",
                "22516317705581496118901322850494745324",
                "336382612347229537698214608187993260532",
                "30160513603526395927075796553454632109",
                "232309577222874622596403993285382809028",
                "19568774612465162735454827184317091688",
                "242982631322782362586514746278238961220",
                "149150024788415457649017049619170593312",
                "271354415821395025035845483849346944444",
                "57957960260634038264856080426876013877",
                "222723690317536524828767429814673751948",
                "256259179432174922794893080927402942462",
                "204276087004059118334283365371870301768",
                "106317076398460073421127544490016264548",
                "310636895216351439892407285965528318212",
                "174115542311117159676252437975812844048",
                "169398172760163987281586730145460579174",
                "93321329201516428641887060925198404860",
                "68004986717455872944891781302940806904",
                "207216560923315878994377073282536499017",
                "142722772060837359479243574235450564715",
                "114293164423372796788460658948991796754",
                "203790965669847372890681089420362010444",
                "155619210662290912844838670556957086707",
                "133548647917031738127602984285639572412",
                "132017632178578376580011834672356146380",
                "174342756070556122472729727004258236929",
                "234650875440631261034094294142994768212",
                "181912405231644653616424330323691778736",
                "335005216531007988916507876877900327385",
                "245066907329183222183670115313439188139",
                "225599351993020801842604128084369477766",
                "111539444682350835303254456678603909019",
                "288250095914311224278665045820117444565",
                "137099179843175892611222556716835302258",
                "129886177024734407194583766150596389007",
                "176859043507840135494665280456085524781",
                "102106437827238731987246740977966661489",
                "229850015452458444029962486893970372660",
                "23109426864632005683850698850004969033",
                "313519212795526523886907475682170283914",
                "145957120835086959972155475714601617391",
                "94743084130986954226938600720714742970",
                "182289159513997022834624691179745093270",
                "22453069917862016518940733043732287599",
                "22425447865796647352900236424774133807",
                "261169982540156109214301349422174331955",
                "154212501336565814779663346717853549018",
                "60759729192470596201553055815817132438",
                "39882527252631119016587126947968919498",
                "221199024251936819234954804218768000616",
                "109056152471780564561705725423272535273",
                "271698764398289534650285718075883026699",
                "46610468788986417912983641758280155680",
                "91544607858522230935176466528068565039",
                "157776459799981904627391376282787087353",
                "53796189195598833631639260740169898521",
                "254247020820906923176258560844122715394",
                "68900892670186393291671639332990939887",
                "177138543033318880102868511933483869637",
                "98605666454534442260123769194851958028",
                "277325475738388408065285756877221075263",
                "160068427965483143171747669705006519894",
                "81583210798410025505054329414202755522",
                "273541909279622786201365111798167379883",
                "179885184345300237054153888689548350576",
                "192780218485762271654795257825213087908",
                "22410488372173081893349685963969811809",
                "156848808141843292180409319484043880927",
                "201015186177683229139140703069355858150",
                "126401650308331801094094681382468748401",
                "35656079820368010288429900429651222998",
                "268638774010002942229264528556924851446",
                "281210641568125108667710350232523927850",
                "219054274322814474157547734085136219849",
                "136714740605632072373197169266751445398",
                "123390963256404609186383143014174496780",
                "243083873966513592072697985176518028168",
                "182755948036162246327764937684492491357",
                "210153315859392889510133626201639388068",
                "112368922533878132235189657105193902841",
                "195587237697401178068005395077914590377",
                "234699883942651210629743099372715773908",
                "103512804456839087869847803835777179661",
                "215123832970327843208533029352390567789",
                "74232614269658855660400260641577909959",
                "236605414094308055106553465126464345606",
                "49967217782650552193446452110396722344",
                "264962050402789647137595649526591674485",
                "172241879412489974184276358487177331806",
                "204024817634851818276311664648964996279",
                "219361180461631897428396646064860191914",
                "175925867499497278718552738966392018506",
                "137348819793656473426542411698509308231",
                "167152684323644167162527184054690325055",
                "262028707499820165196398340482264285541",
                "288101482075831020100734875433219416016",
                "65638819760579334079661709272720194759",
                "222679177473240486917814412136441760611",
                "35073742135263654650782771815407255854",
                "186629514849780524333674969978674034428",
                "33034609058982101931923811497863261581",
                "338520704951813914972680601064491511090",
                "90450908122066179554713862484785041928",
                "47221401246517527755943501666698179475",
                "66487586796959105317103567521675582796",
                "137500981299428106012906909674835903878",
                "111366750905985868847692270380231976902",
                "230198648703586285199911084770412484431",
                "336362971837156381445947930967856873448",
                "255770297034221492741243269853823941072",
                "76376075151962852576121112978969990598",
                "222679660357360218454392535795913375714",
                "988715259382455659586933408897977557",
                "247468587058672700155492559723004776015",
                "239614587654903613378479226308294188737",
                "209136821808845478693403284193308658246",
                "220652167114952191988482868693782567755",
                "60890240046477835936124551986283539926",
                "136041840286723587075158438512211542826",
                "196505242650657967082083208998323207677",
                "234578490323706588299794949176648023867",
                "176344261623101578565984717203933064152",
                "115161693808469878138833450263031847148",
                "122530495713270182858566798424191386329",
                "260490856856627470261025848207152800202",
                "291195279196554223291100768137890283161",
                "41352821094385577448229512070912044698",
                "332372039476342589391459177565579298316",
                "21624467872637435192244390388520914014",
                "64631302393833036069233617950765361866",
                "144703978629094698927131859473169453326",
                "42012848120891608199357874508177997279",
                "272767931117302023631345778004064837776",
                "12933007484143548590098966895525347883",
                "314280648383492791411756127293684367355",
                "209239900997965295533285911528145801088",
                "284207747499624115248026023574396939740",
                "225205406846545829525067654176751406736",
                "270383517113622875839542048589817711187",
                "241853250234742244494489091213932703969",
                "162370481411700821457373760739381600347",
                "91575662149529219544704948934582778021",
                "339730263662865268615203223481044943765",
                "49662709263908743213246853868607794806",
                "260656615737978354630848183956013075622",
                "30151808132192862884143497207755978639",
                "250887505833483368027377337579929204217",
                "4634588403761517739714440195989367155",
                "123914101025331998269503926269874979783",
                "231396102716566409524934981567486204882",
                "273574182409511593741274858315888165090",
                "14367555376104111091185392793371418488",
                "216919787331510736482515896229340134958",
                "262496659391365282674705028836056831794",
                "31281340077588515906722822325108472446",
                "251932605868488901955557586331790153867",
                "144621846642440051884565538307365314750",
                "216747916790769254006710622296363349518",
                "178097542649388440314254834661177216153",
                "326142031676132875885706606595015899820",
                "217738358948461138960948155607818000783",
                "187472226693564743100373379626477474152",
                "76671233113695040637184718236557845558",
                "136397397769912242634821265143845048454",
                "144284034335994773053938790815754302063",
                "75843077078547544296968677407235142092",
                "265689151054418714620656979686221319030",
                "289309041625713705137308597451746584308",
                "30961597148012887591189467084593571519",
                "162223583460660185767912656337627857923",
                "49237901767769137760720566069784987119",
                "217060156496793849687183879296069728936",
                "249537761877097910443108830861558290786",
                "301755439502178235584598842363683935468",
                "136442405461113228041821569763320241206",
                "279997198970737004004105220767450972841",
                "199485589152968972972380791983024777155",
                "100405630797093994713403038568168241912",
                "30324341418327523801467746353978883696",
                "315526645322871976709179851527401177672",
                "220937211541358190074481672510070634121",
                "275901997121229303765616576114065838482",
                "90106321606243008105862074051918245181",
                "71451202729852565414191532321865109358",
                "99270446959100317569860612266153545627",
                "327361258333569519031834443292003952399",
                "280482905263766832473177419455290374697",
                "210711583327665838081809078072315410954",
                "14184898441907572113321728486510799457",
                "53094767069898301805229758971149349259",
                "18914474305991362494932351922046431332",
                "277625411778464669581894221746995136059",
                "7295158685822749028148490133872387917",
                "310155790528954380660511835963151638748",
                "214728511347617959724731662228223499204",
                "7623409132839193098599444895235333377",
                "290772999010021078306218173933859838716",
                "260155550945083075202521232584682786698",
                "130746811326336703922518094622411317006",
                "155807325848970028817279977457059310662",
                "114320180408913397764691072853532037069",
                "310234410734309897041423801418429957299",
                "327799816490237172568543417751721083115",
                "136428397300387813565154597420233809696",
                "112325329432378105938961406115760045082",
                "29593120282114198480414485238370240813",
                "189115058798227407245686804203920615270",
                "255922437574581018821103815753109010917",
                "13890070478059647701242788889827991033",
                "146642287131073952910985271530837008500",
                "165419376727055503882631694230958394908",
                "306318799239283253498734451833465812736",
                "242856064645721711834683809264014455161",
                "97795160106685253425467893944148510982",
                "113753211234927358779536645134184820793",
                "37113603738000627178778730419777626180",
                "284560265733408097621555825665536749613",
                "131609250486970439165857208421302328339",
                "286830145948102317054165504866810269038",
                "190295959197258591936607027096086881575",
                "102149394332218195896677242951548446983",
                "52975419894435243627511451497612451499",
                "156085403034559219903212697811567689214",
                "538534230129074694414486437432604109",
                "202149488471081831204317675639088582155",
                "60791093070476098296945706603092913703",
                "225283375133846397032893353730907577807",
                "70421929498067334788556246877470060900",
                "109867255746854519177896559125662698342",
                "180794253482255754418863384186178160928",
                "61971886743578423115754449177264320386",
                "180371175943353857517464811544443774992",
                "336899200291287127141550966530122575844",
                "75123210581161484835369207912402632125",
                "268193774317463208934158875670751534254",
                "16515577759950408263979787120373839296",
                "4922046447461732538509511537079410938",
                "286238401277131177811680907166971860358",
                "40619168702041995845280906963767690462",
                "288437384818366419569549197390724624990",
                "52911821367001250434659028515696158155",
                "12937420013185897808594810654283168283",
                "6512233332381758664938115195881900802",
                "6861346890261330228770851081882275705",
                "166221523843409784426150423733970974253",
                "22743916222874987546964781704131276912",
                "97082957331167922876727694967243479064",
                "226783707673294574113849250804093810782",
                "289123496676241304912649875037526835066",
                "70795996676589675384520761195930139752",
                "302709091531893728209645936170495364391",
                "96831794645324481142429615088826402981",
                "229868502328535761648453524416582957295",
                "332770838666572230744848116199165062512",
                "214443369312901778852265724557121998494",
                "71903868703483225993661609191094657860",
                "144609094547692684204926515032246943133",
                "37078848489432082467212435847537437863",
                "274998093242498851678812963509510252786",
                "24181318734225465050762397731510733984",
                "127431048797221783206577902007263187621",
                "201101816453819734451167627003669559655",
                "31047830775908462256390410132871132644",
                "80632526446106034834417164071424911717",
                "320599269743049819185937515483027175174",
                "334753940516716272380065492758532202346",
                "41336787246392692537840543099282305697",
                "128880803623004854350188043056466223100",
                "125994969947727678437297179433670315004",
                "283149458554871594988176417964835646167",
                "145654207068555318128357589011120806016",
                "8889210147166635499895855541688996352",
                "331708100331874385173390934085004587087",
                "242297908628537276732778124782301036183",
                "320560036501152850964250751077746468429",
                "64730941226142731025029987971924538709",
                "236345987315660857285599608447797107241",
                "151715344367915517000499899153090126982",
                "252918975135966180493052635184628252184",
                "209839977421715338434346660364809764431",
                "208292187507379026997981538028840128617",
                "150797816130210187680038397644307769970",
                "268171979481788138288532913644779192720",
                "160003728413179616830525503437648636908",
                "266343662331650851471415395256805171898",
                "209854134626721961613882762947274568646",
                "153814498934134372574082695356708931462",
                "81332718085987507139250245929512177270",
                "44500294683269669356871089666753707224",
                "94944139387594551947498963858815682468",
                "317558339754265513372963750394090222334",
                "44945084299375871673337244705994898807",
                "268493662040505827954943912191627569915",
                "148295485571959135663699852724193173754",
                "191260819051992137755289619629539281385",
                "259046959701080291251926984296146223924",
                "287449938501950740521312660606478486729",
                "161011404548902258313193676924213764980",
                "143757875584767266216925411620002504447",
                "163358977751772291497227920997558729751",
                "23848092644321877155546327088866964378",
                "159494851053926398843292961813379245147",
                "48809946636884491106283514008616740456",
                "78233034345072580873955588401790574249",
                "69516377362229100288931490747001349187",
                "243321085597637118953570118764124188919",
                "300729086435503864061836900312032087686",
                "181079654392473266686380667771324661679",
                "114339433617524172629199504435633310634",
                "12758079935179235105234729548963961566",
                "123842903400420821999318696199769012240",
                "156354627291183673831563441039650647246",
                "18108966139192878532967504090198747082",
                "35375042737676654350769950445044554924",
                "117065480818442922346167660617751014023",
                "46595782981591852036894102817449396842",
                "100892281780891050225131605775042270619",
                "133736777625346072608772902045134928249",
                "165138126674622456692026054269789460478",
                "111434285813187166641253701786287792599",
                "310209631889068780672656773178309747484",
                "123060514576117276265219100346388214829",
                "313387857522752921362792103119226978532",
                "224383927016039789475902591195183746161",
                "5760114019183059148703371632579741085",
                "51440301494564484319728410994875038671",
                "262216243799299744710258386286086983177",
                "4367096155014872416028549728215311817",
                "39336709801117589998387683637225505401",
                "24943645853736223640560146690279768027",
                "123164264354115050796192978952177550687",
                "259119824264535041529660484155829594606",
                "29085108559570200331389396178060262879",
                "49679718895516267052245960904581665971",
                "335705435102052386554377154910592365806",
                "173723684762225890292197316375933399863",
                "10627872490013826562942283320452288430",
                "297061554838127908357251782196763855404",
                "156849717511270496693133347383378245555",
                "322638538048075627330916599871708689407",
                "116375438694349839490894054345008738203",
                "72122850991047753068634397376006747032",
                "297162508469313857760801368102977751104",
                "219251636770462308422368256760769949512",
                "42837242626870481162794916229148575884",
                "212829394615458709706914935561033382921",
                "96363943793716079428007517034870728405",
                "320932294297105095696093120460391976488",
                "325061378089087943565763885016011757053",
                "284829764941984856172459844207542728534",
                "128844609287210011602725699224766380213",
                "159534106658254154179768889713916361747",
                "271179726511704641091052189689748452036",
                "34798741355838576587488522803779654561",
                "17687677765562855555810657540140299486",
                "292124514087667366937207191743766284360",
                "167378309381203154952572300121212641177",
                "70412305445604928198479458120051868325",
                "248624500099520720041389558379908196801",
                "59950404188868761379298536205665634938",
                "14493549620989821142113467153482251346",
                "220622164637471187145597133441376175386",
                "141658299960942437042858135678463027724",
                "178760966924102378025529558600049608013",
                "331622261976307910183027192998738451471",
                "175416277741451974881021425137277045993",
                "131431037515624352334633130945416737564",
                "294629785593099485097943523310140707614",
                "248016308511890316954189530443327688270",
                "294412784200172322279671696782249844794",
                "335635812083692936430568445922125281677",
                "98576968210810788895854620509013260569",
                "288881161834490582000319329503889896291",
                "123064473707109097544091190690893248810",
                "59090069372874376730104660947977481307",
                "224853304938748011155515185463097139295",
                "155074502320975302695501325276169456131",
                "181933079792055351046133360311677676579",
                "50466386849973682436429573462981549599",
                "174229960351148047555216847734531353299",
                "308782992262859567738292527286300831309",
                "151532064410812563739697749352940329671",
                "81660159231048906742531396732163861091",
                "38558935368802993381545846399111307779",
                "209809177003333854529434089800843342115",
                "9739147355004543615766434289808987416",
                "81757657788290922317516541948864693026",
                "63372901521242253789885671771642495298",
                "40473347835086270089243192619013320560",
                "311384779627508432986975429039869571183",
                "175929459399330734487954218741635399123",
                "55753731432702544962875493531207713171",
                "278190505068081419976856319951924044138",
                "193751911312493411360547582163874375849",
                "221150203297837258222972735009901784589",
                "267938188868690146708429990834686956458",
                "283397347437206261131196393345376071082",
                "212458711983309128546068493133448271662",
                "177231876095918402508526415796135398070",
                "254001294391904323031160090083199351335",
                "339541161951659044270731218421045642382",
                "168252306470529369373910988895371095478",
                "63883195751756822992064545977689629905",
                "42448250581844627057831610387234074830",
                "157985194850607286405055537872858250679",
                "199641446859946780839838858688990646334",
                "289007173746969962584425838127155736290",
                "252163114126581667245556837259671398603",
                "173970199473975443710922771408251126451",
                "268378413631984438585103249809906438519",
                "69862177105053679448303044975273970036",
                "15527624666176252560349414457744500539",
                "172680004233976066075961288331450125430",
                "285056711538728639251000915663760471897",
                "54439130089657576582613068337533441601",
                "234234515029358776360532465440019728629",
                "141051748677469234802020814003016752939",
                "76902375707686803701101767429494366344",
                "267752853183561100214790450639113245874",
                "81043529280098719843593854312694310471",
                "153944679734891914800617822253188606816",
                "155350218070210062870784304290220168165",
                "773595329114628538712735283827061",
                "52721817281736477646759215606712885620",
                "156681313652552879543115758620668178221",
                "149934527413678828091795099762427407746",
                "269573049743195148538205755514724441058",
                "183897654548690421983212254541439744069",
                "195276842037295680636143746683072025932",
                "128792612840134421871274295968566200733",
                "273742292263126203244110272550078507253",
                "312372326126273507019316601127485111168",
                "37060498038737048473954551805506317406",
                "191435300064386596410280764948141502800",
                "252278781696595786449531358440441836922",
                "280041903098858990582734087124758768364",
                "156010282102510573371231708573739892496",
                "24396716091078214886809429327633762407",
                "213159163497176967420947263934320309656",
                "73451058890292081190958262173656347422",
                "49892033734530808161512634711811778741",
                "81167863162964969455585267612701460499",
                "35348706317317188849078156267204396914",
                "33405346461876206166712955352110905775",
                "321231114814744112389340614782308665822",
                "133189477638949279482468362700593942509",
                "253744474325406729844705793552485119880",
                "99814981597900463215291260818334852700",
                "199674141652427517682067165960276640720",
                "116206168940789917706662016482831298050",
                "228541226048360755844344337675662978850",
                "243374709085456677042672851595416440498",
                "302658734252453674390960748553489770361",
                "34148364751410892502783704756928724531",
                "115023309817322295294739764488734588666",
                "255500919923563231698450520328729343001",
                "314090375340477816338932586990923995133",
                "23426530840470611626420449609879071845",
                "318509082470738538754580019607363556618",
                "290434096497978570133208098585982203601",
                "326559180109218940902414926558049520308",
                "76761832745096758273569859585778031474",
                "290384469794517331493366697412203249494",
                "273197794538681027251298955061710072810",
                "11581262928310754396456300277389140716",
                "317889104011141828852889864151227687628",
                "124385711389094474187568360208099410844",
                "138668311489791290683651510959414632141",
                "274916597880907647012027690137458928000",
                "143520771911230358397977219757075167073",
                "29389807654838993986734019120842962662",
                "273071982856431524843424657550658385417",
                "112090185385816200353308552285476468002",
                "320686693359662517385649885592062123169",
                "222837501963942722647829809694063574656",
                "272691592122884636678056975206090246242",
                "143752865385381681380344139972770648431",
                "266077184096854767405145632082725284811",
                "231037893503995785556844279841202765234",
                "182364096263855230691555152906510013036",
                "152432827729206004277204514104240757518",
                "329376971309247245417175885287093757964",
                "101844316644174601544732365868550732444",
                "317142181619593099432627646593344697154",
                "204246811530160585326056578778162524194",
                "20498946223722383624950770073450616255",
                "116522076196117574896775063534109462726",
                "119693313937728236663097238652298546077",
                "300315427488945978463125664338844819596",
                "219092493346103354226064985926009989181",
                "150861784255630707412626802714506025883",
                "276253876374894944503896968601676138921",
                "161431268034334872569710910400089719172",
                "317139271709458507145876388682502792598",
                "262678639513551891084750830392355929285",
                "109493346564869922930515177793973727953",
                "78580226152581258751538141120815160521",
                "112541084564957517381574822266687031380",
                "227598967389514094778769571981897864678",
                "255423145302718807148406708710608768055",
                "260139863198263300248534466649877618185",
                "141719960885794111452217060254329461824",
                "197642768912626732970111853757023509219",
                "133233326430381835096364479573685652918",
                "323740392728415124980942289234446671943",
                "270016176699969477907666596107873038158",
                "330815157845782467184360295167532150406",
                "294398825845334834024788809023860176487",
                "45960624787455663231129760905658355585",
                "163167465529985127572273894126048022822",
                "46016766613284970576641402764240170458",
                "223536414118412383207886614639669233781",
                "91086358836871411225913764003100280623",
                "143447710506435323912990258872460146925",
                "38376224993731776674712213409773878058",
                "212829168576600541700596677746865772999",
                "310190095340068769986000607100762312081",
                "245492960521197593271140556705178543827",
                "32744335036665979182645398545030389429",
                "93341884085103001813466938087201863541",
                "63049486050172208065021740208197494209",
                "57595346523452626069700083696975289647",
                "317337627137568096401640164276249970717",
                "17106681447288776377856699840224740201",
                "317728685228856090064624668571131101494",
                "14506919204139987964844429846709689400",
                "82111347492161192727350166880397992606",
                "247577874843944632128951156899138056459",
                "174143821939032725552479809195885741622",
                "274521075652804966831437422729381762761",
                "263406332289155239837967262206290225673",
                "5211580198611957962887205916828313585",
                "74683552379016440110359313992302452885",
                "225237669684731691233359753437791796264",
                "188951169667293160785413270245949237499",
                "222546420095232017616295868237357002343",
                "234255283895202228220998003417422452587",
                "40973380387851322361560684914967347157",
                "176424290192600135406062000441371923995",
                "196872166257037214211202543029447437781",
                "214672666209885229916175353009024785371",
                "101282563968168751250304236609782591606",
                "970736261258375133945227675846488986",
                "201641805142903985979986146089551235258",
                "152261517656912778937326493180161626938",
                "284758845483159897515911241641344456204",
                "177741166630324211625351973892977439714",
                "224408958838552600487275026817143523246",
                "5598860906677430289489897886953546709",
                "55059543860396579594659422900801528350",
                "122253381238267630544033265540716011245",
                "224413259698035087280909779233300847059",
                "90678534026404853415116201684962498877",
                "110573262894544638372143032005008493588",
                "185151335955161922740077087812924518826",
                "2595525922294161828353054150117330293",
                "26589877073759813263086839536013825908",
                "291810270598031968696758129606199161651",
                "184514781055537047647466517600971820331",
                "305178361198907063582345460781068267073",
                "271470043742172876152875007711783492608",
                "91260821237900081416378690072815311946",
                "239719476313184966028635653714361480157",
                "208859771320650039361533690011473904171",
                "212057877756231346635904240909319837947",
                "151202208752996854095990467479041766090",
                "257764409629960071509760235796641957524",
                "34250480532004962687510562880944792837",
                "239544077223659539989698268504155448779",
                "62257118092093945931348126128330082020",
                "151755902329809775960740384660725038402",
                "18340657997780852150976441989249722043",
                "236007928304540509365164246967495349690",
                "217426107275854415352219301902703128312",
                "247050016698716274589382365207571281838",
                "117745834262848925006326134205739344209",
                "58901772140751825671479120082348443280",
                "323199020306747454769808136137155958934",
                "171563582920391998694568665134717742014",
                "141709182271718019712257981038267043262",
                "131650033520699303299085893944616530944",
                "207927356821146570286024243013506059967",
                "282672128246463103332112584134577271912",
                "26303689457798088649511223621804410180",
                "130168246970689611537199097287332383067",
                "180238873497186484931266330442843471772",
                "210824818908960961342701087445471743817",
                "120358584689113689357975559262079732015",
                "41441571100848942612539809534481376670",
                "95667207473590794221133825756930867402",
                "120929968726388202425754572259822912944",
                "15879614950437320872073303358516929883",
                "23096876230788966306975598429134869774",
                "16476910032501627874788757615510898451",
                "86801064023429339585197358004482865330",
                "58989102932675430168736691707390302159",
                "230671472559174505271722365706714956132",
                "318157722410680597033931762395255937995",
                "338131188200524364612963645741218237073",
                "109566793833649957583754343088017465207",
                "32416729413803951487126322985350677714",
                "327301933803719637665109613995595831594",
                "93144036200834657818767199440629437013",
                "161140095024472350148142536339772866596",
                "22503512328411833850971508698541349638",
                "28710282197315597376917590684635891737",
                "202651241998542937143870694207298659000",
                "79672910438888619001284884945727406338",
                "169882580901878068460317332533820103690",
                "6542774928703100377288204688981472615",
                "37095330020244601960701735927396895127",
                "265025375900415402339620694358753718702",
                "323376979243443127516532954595397700188",
                "286770545685241788130319788123894038393",
                "115020819191179047116852171422804998269",
                "143420140337159146892318925963659456856",
                "12476404512432373966226178918745984882",
                "264277544930307367009347697696311178829",
                "114429091057072870544009669111155651704",
                "136194778678978955012387526116902544394",
                "274008276580045499584645544206988679827",
                "273759810569348479242423791191640939437",
                "113278811929792853744905355860522597640",
                "328996816573768254976306179961807464972",
                "218737793639796384243275159642208240814",
                "204111385572691708113787906969166912774",
                "120437405905069972903097866100246437246",
                "286606955358290301295670080737546310469",
                "58477311169523312125268706914147996815",
                "136567710905511499522188153208896768060",
                "163119954723466645791765523521302388851",
                "252588007226226400036555823625964183852",
                "144828861324292124094292126056179926001",
                "108132774253601681026180640469434307760",
                "332612101600533238313154034466546158398",
                "187673349410272819866388662692547410016",
                "22476432742228841499870658713824850661",
                "279802653580250568903860671589669463766",
                "290417365954447368619305102174114037581",
                "278307918228159611709256800781380260271",
                "134495258538486441111920450659145875208",
                "312042455856327181888970742836422433882",
                "167090492534467239022751636679016100476",
                "20989325230059966286315205265331633581",
                "233307723804705240664829409418096825595",
                "38466893201830089604888857301492961076",
                "2001681875644982221994058552826903504",
                "262187644383665092958114742659130877461",
                "304769553168718643925039542627113070416",
                "317021220005524417637448781250100334203",
                "282969002602624724820244781130991620526",
                "158664399440618772186472066784206922401",
                "276316442534226755793556295766452444414",
                "325808227553787892063460370942155211249",
                "321677139989278533300160537617599804840",
                "29005064200495758620956066609590519044",
                "126015330788796131281730010198565922347",
                "179349833536056741093507602230346391005",
                "50809663008834680888795849027549089489",
                "312713944647892907580182580630273524820",
                "34543927084090339440058866308633909375",
                "108949028240931430089283975931639609122",
                "126815507182225149646075263781638125615",
                "209085032888330997460927883649070006628",
                "301065791898715580388786894572585886677",
                "144536879053361012903321587222676195715",
                "35807328649094394381046953229479006322",
                "89149847171827265450202186486919643527",
                "157751027871242470160477508264915909873",
                "203485967155040341200041851421302104451",
                "58404274037678587905206977512102981564",
                "293956989288085480400665843987171089403",
                "234116298388838253789519773984100448259",
                "331468322390030948859485876154741245594",
                "302728565495890235253972876096872265567",
                "249955185054259597067148606937522930595",
                "237851741400227842515561308522306726594",
                "111762075660115597846037919714270086153",
                "201631429399790884080385134185415407606",
                "88094730232174578345082920340836748737",
                "306755472974168311554679031404653561379",
                "180181933187839801200128445606805005239",
                "292277730185708304929594320215641385484",
                "225612872071951501693436046230053171010",
                "28376964547424103303469930771623735250",
                "201169419914246795294041374715311734572",
                "125862260031619358893232872782181421787",
                "147097467332553271479426669373723068958",
                "282642691028162083777000967289353224775",
                "197159357514750630189784171416818850854",
                "216022198466383578833216190803121438260",
                "144346676444806068206616655304002136425",
                "92862097486184108710932402612543337505",
                "37997468934360002913453221753263927110",
                "43910637257502572270158384724936993889",
                "160259694449759235432163359552676880771",
                "115440973520299101210404431041327419786",
                "301942489193694900845430345405582577472",
                "315344329416303980413168987894707485323",
                "101373481372208034271610516163669148439",
                "258838221393663985021491595579086580446",
                "278041475000308774849095079761301866136",
                "200930625421918577902816983226031977493",
                "148681206648626457493889531263381805392",
                "340237531677424777532994107929609931022",
                "277060581878024662935815962196892479695",
                "113571334723596499598633463878375908580",
                "193200188247318192745625442535983296882",
                "197188947496036963750445799654713098680",
                "239599788471093398043259716242364961516",
                "282132002656771667001067388495681741622",
                "228141182577515893354434692034324031467",
                "121834139947072379814251189468769497143",
                "217588337944666443858562667216718856333",
                "313516110309928161285223215083648957167",
                "91015703387991102606861017852310438887",
                "26584496053199838968020084417312437226",
                "131481869470504725324226019919874771656",
                "195479136085691275574934193720330512897",
                "91345222659611715687687114943572070553",
                "200384874553973792871553266418533162641",
                "165485846756357216487266073238609749031",
                "86637711603974122729365156297606603331",
                "87699586331086941045400224581710540398",
                "157610621367841227609200912372328164204",
                "338330306147499639392867628198573215939",
                "119422625630905345711859314968014052704",
                "332535877719575352190873245593753927463",
                "301637737113191045019716278913659093488",
                "26707587847782148986197994911260759168",
                "216969382087081583089566523513724570200",
                "62607552866182233300005510065684821765",
                "326564285568597364268567168956941437002",
                "268682497635463070379433416033529460744",
                "259232031777620870283535453512038713882",
                "168786451082378970791099881685325972675",
                "167150057369213839272536425638470092620",
                "289346367745501614215739453691752914905",
                "251813005036530912932045227784479842801",
                "6577465656725241465290898075112380379",
                "242623298375779267176754902922465033698",
                "212466402435375842801705162559041011979",
                "301057084224678669931208981566869958377",
                "272555798394329595106197925191777940467",
                "312695110231067711829204347824942738912",
                "215594038640991132608172789962463451304",
                "82126847499543492503884312965334728442",
                "338173957968334295093935384506762669038",
                "86437427412511496358384553952092067776",
                "215854520780432663482523092644357712370",
                "142746458533474262622973265648067264429",
                "122844355487405607959387344957893972814",
                "155953067579419948883036606996015671529",
                "132163323085091658798918088851783918530",
                "48342944689203809125885229446617408497",
                "257030781546104733297300311548913379291",
                "121921888929096270630126831359693740843",
                "244553772520204315240893124730100346562",
                "301185124450028555338486360402277842530",
                "190723355051935557474028180064711648742",
                "15384180920179204390012597470583326823",
                "334138884853114274153763902966663180410",
                "124929644962057183932100666180333243578",
                "158495840165749100518894062224668300603",
                "75552263079943858144912591076427961397",
                "268958394248621561835404685261154431730",
                "192054584380846633726800666656297411499",
                "22512794482370436452596132782621116054",
                "35777584462398321917261921808988606256",
                "330094121736843556190057632643903063243",
                "270924466417292773608579786280855570472",
                "126625111446516664735893176827079351366",
                "307508450034164919407397313157484749134",
                "100920765852599292028444148335480277958",
                "328540160960773887559586059937921044531",
                "29004949799059352803660594758019571995",
                "55281779473105257970434835895723742029",
                "1280684240851975316904831169390512356",
                "75563671129298156752137205605428069432",
                "321771590252373953528424962121672743",
                "178554035919539481334457837353151430496",
                "159702957169355522348596708692205443747",
                "305294535192281970279968154814054356037",
                "259792670923496035119512398569685395851",
                "125871584312630499283522258012651627304",
                "27727035971185837325136149875888426459",
                "198250946514234642755766860828232816372",
                "66582467325288066291216058481515924687",
                "191308645601429389086099119513534017439",
                "294255051030966163177327831879880019880",
                "121766425871510750162015174828852807968",
                "301147764893114281187171753272215500419",
                "17842444801895692427752076099572886918",
                "55824999204022335252364593078005511967",
                "55898867791431748035773105110855365136",
                "255327867629186123932965791420485894204",
                "321862806929288600882563450915587456621",
                "287463299369852864248001797858537863778",
                "332784834643623512355699011784714733013",
                "187464467425407209545047240159986188854",
                "71405509684542952954222737869085075342",
                "137555319939918255148745047338073693912",
                "80073072698670744140814499449861038546",
                "169857754684880173649700996130798920464",
                "40337722652706183362997319101891991822",
                "264755851514201553787330515073724385060",
                "157182504378014715114784335860725089739",
                "153676102207990580584090432277225717056",
                "337345270452041431372855130076963943823",
                "11410390365596796531514680345733896169",
                "275198174613246647073404704247237096116",
                "333779018846733012093657173061416939903",
                "157955114391446135696633689237305064614",
                "327746294978830384397702094977293922745",
                "191171610346606771786667600617405599615",
                "177300373010675167731720453169786174940",
                "171505004836113060133905227596374774823",
                "232393045569551407507105091851380928241",
                "9391680442037650407363321254485658767",
                "41167174967059569022284066643774193218",
                "203013418504938255223985385338153792962",
                "157193776873639080983494710217194281069",
                "12952092064638726025009052533937443365",
                "256874439305544306155510330559429695824",
                "215865711054837534950644987388777695845",
                "1339473380347505618662665749678119617",
                "202378766942883370904792411466675680869",
                "37389297347643674800839700584789640950",
                "289429313345867584280504921454921366495",
                "307449764118140123896168161458739889472",
                "153722949423946850084383216037263281343",
                "165849474133488892586658677523178603927",
                "276722856292243252076807266307160736468",
                "33162522801887837593722892962402561761",
                "134609091801080678136381085367336484064",
                "323002958970581614214512405342023565705",
                "145647091901140427252655353199224399107",
                "263718606932613449442519982399036358218",
                "79137363406150465095126757840139894792",
                "114055336871712145628778701015564980752",
                "131474248708738616794097886717828309511",
                "226036380895822471239074431049508988478",
                "206337645162147726665185948431379269938",
                "48009606104536929815216595843222340941",
                "128848475209822312137285046192468869434",
                "100842156929072471923748267095292449606",
                "60810997819988074318654248013601134148",
                "291700791784621263432412421651692231224",
                "231255302675346823656574022574244865176",
                "35878764657099223586421649543314184629",
                "112365129408528826958769131173195628181",
                "273403834806976421846950898992731349021",
                "155364624660731969069278795238336733716",
                "262514550048052519057423069724370926067",
                "149058038547318787337186804986621827892",
                "27583559437804888696888407749103140143",
                "23561458361703407605722365436850565851",
                "257202303727130628652585171522671702672",
                "316809955471367270657050766394315384099",
                "227830175674780237996167023756772968592",
                "289199090209717034950750533230898285273",
                "33083387350772472544462783002343782775",
                "105849769089035858696418525375797358956",
                "73389905475120025931626588602664284067",
                "228313462468721447333606746843336566751",
                "163858398968399692778665802407588185278",
                "259362716895131996660830576301496399333",
                "15144475945421968981939959961129132923",
                "191657024829349996554540831282182577901",
                "136363879920172659575151021612815054046",
                "203721048454249967527998273915523029437",
                "246739764772246461610148737533364952741",
                "145760811556354028970680134142671214080",
                "227816683297060498773088042627633574577",
                "17017879862620800068861103074034390062",
                "115485432849813200635344172112285226652",
                "33085155545412091601282724704653513115",
                "156204808492941477713263712402582440609",
                "202568553829005564837669515484736778484",
                "14709940927859284239018007064624372986",
                "273471687119676862158632381427295508126",
                "128251926454834282224330060671081777320",
                "222751096830155671831922426445174534993",
                "187965714420650358060369636405751596966",
                "336816343447151893346182320664507763962",
                "325497457090765646033681616879040677708",
                "138064909020502375975562580454442081381",
                "258822851647524791046458568538226678023",
                "214438786061731375785058261966768013077",
                "319868471657932858408997202988495591685",
                "127130872200372106015894982888335170986",
                "219341802635340848491213266605121265230",
                "109592851822302817676736730434028067183",
                "261330317580771379207913491422227762426",
                "296259623285147930442617277075077391432",
                "176911923316477162049082068174018597629",
                "176602343751002810234913509841007796242",
                "78848775627635556591427986473083543219",
                "300556526277987975372194664235771023784",
                "52718138073221110856169163009573377427",
                "283340732179231404965598835751364020435",
                "63048743446599862464185571580784108631",
                "173799499434962252890856614822053024835",
                "302680274529282610373672407938594956581",
                "24878543792501494787052598224663356477",
                "182639055226539568963452374777603472822",
                "266607081481470568311134239387895297230",
                "314729940778702707773430729740052275169",
                "178161902964339075439359211078999325945",
                "279856383701610791108733870460240179886",
                "165607835997728936591236747325672806664",
                "183934024115118441189580849511964034225",
                "117218551999913953967507606574410149021",
                "277378958968613799914890314092514566351",
                "114925073760797487268804409453929016975",
                "332529732796848734989045835358122902659",
                "308215402742540988043552628811199233476",
                "770500196711446010824182872268942552",
                "164164063412541271535123162088288676170",
                "283657903486064902829287442195769310383",
                "293328193425605686060280649917858479552",
                "116545810923800840001968611939498418644",
                "322921864291341483041952997084181555149",
                "164673173224719508932086304977445221527",
                "304968183120980729216129966820419891895"
            ]
        },
        "id": "CVE-2025-52484-45e4f0bc",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "43035428815642959088369995856773691789",
            "length": 772030.0
        },
        "id": "CVE-2025-52484-460bfda2",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopExtract"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "60990364251508169086950602493681793902",
            "length": 1759.0
        },
        "id": "CVE-2025-52484-4730d964",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlDone"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "15352377938109321421172753139396393127",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-4932993b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "65681957940260956338847337361173050976",
            "length": 1697.0
        },
        "id": "CVE-2025-52484-49ce3cb3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRA"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "14667280805886702215911338089520483109",
            "length": 27188.0
        },
        "id": "CVE-2025-52484-4aa113f8",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_8"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "129971965077340858392857914272656896671",
            "length": 897.0
        },
        "id": "CVE-2025-52484-4b256cd4",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "276271724045071641743767664945140520347",
            "length": 2260.0
        },
        "id": "CVE-2025-52484-4cf7ac7d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ECallHostReadWords"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "191170653917283666889537739456682028778",
            "length": 1117.0
        },
        "id": "CVE-2025-52484-4e648069",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "120239796599343901893606065927841511024",
            "length": 903.0
        },
        "id": "CVE-2025-52484-4e98d8e6",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHSU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "255590786310927363150050622603288773540",
            "length": 7895.0
        },
        "id": "CVE-2025-52484-4f6b1228",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInHigh"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "56016503565241095664086841252852584835",
            "length": 1261.0
        },
        "id": "CVE-2025-52484-5040e2e3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBNE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "12642439884451585175966910165838899195",
            "length": 46157.0
        },
        "id": "CVE-2025-52484-5063f420",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_15"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "166086549298887431495680679096116174286",
            "length": 857.0
        },
        "id": "CVE-2025-52484-515ccc06",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMUL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "166138166890773798411256262172811430116",
                "319897754927942999157719869986405965712",
                "85575302020884856196836989824590962572",
                "97646873749859839919012735803541460659",
                "316302640612675394256765506821368558388",
                "124186423587136977440631837207937950698",
                "121157062864495462339646628590870954319",
                "75744430357807654410690939743305039372",
                "124175597148875064955711726802528524788",
                "316205800423541663539524380259875864345",
                "155277045713715499604853751827984622668",
                "119767940063677635695565899274735278030",
                "162243775718740624328347287935332421016",
                "278464176823766501038689297993184054452",
                "39856221731166328729199678806615676702",
                "257642488130398775170201340589819037007",
                "217367461050928706693749758851993042969",
                "150905464551415348159382821641255419929",
                "161936051975180045523378632951755012684",
                "196016029316669539426351905738621865946",
                "185070219838431606193543365851583791479",
                "325124760864528544226486114764226232761",
                "187843714996987901954043278973451959008",
                "279924659833496583285737008843048549240",
                "219408062969627870621791078927073917553",
                "73478272258661838109986447463617888694",
                "298904348418246170059032332012591877226",
                "80538995200111715794390435271378933923",
                "80182871498549267222953560005817968520",
                "182498271225423488418704295396405191538",
                "273629713717856270520152404080385846556",
                "202369732154090478526336513487992299508",
                "117006839982040098110309065184974174300",
                "222204855592318204601030232498154324992",
                "231829415149859407752020888299156716032",
                "239784337790396123767289114592081149692",
                "36287031583031546531607431512254008790",
                "48017443620288987180318432264208097901",
                "187134819509464719859715512980823908261",
                "147310503825843525794376140578287186381",
                "225775706749616258451625892285743523123",
                "154044991941043284406410599167452876752",
                "44926984312107553367674900255493519228",
                "103148211698971911516523964635934516397",
                "208519276450441437244173798531726229467",
                "132041572833910180253671168331280203311",
                "88913471696679852176412302094589920390",
                "88310781379615032491201906249277091383",
                "35133613085348126925883608844237820763",
                "78730393307411527932735407187617092132",
                "52953572741371475102984780406514542158",
                "212655378893745475840909109544997361940",
                "107548035144236895541774615909778586810",
                "261686770873828346045257296544481821656",
                "200989090139500170240208184262888330245",
                "306768449606556841043228387493227952862",
                "253443994690315434464188309687202947854",
                "152359346922965117150161650489486450092",
                "77449966758167834664379158802872449381",
                "243682199602271536150755036954478239318",
                "183561744508912132522730660340324961024",
                "105059225238759280616833129283698994377",
                "119410594963912771230818788449179504041",
                "296282500630992026678464585796481942366",
                "119380646853637498143159670998638172614",
                "41296963333345670097333007647129493155",
                "112923433783930747767221150664980002836",
                "147342904265454281828157880198185216924",
                "137814262742155084794444748294392153998",
                "206272318906213134579321567269644898953",
                "70102389098819134608261413376123913187",
                "211050967256864432420888707638240320308",
                "54466435453276871232955056929003028657",
                "216670638618579104359336835416892490677",
                "273122394803866804365354343237583432317",
                "198856787679846031920887802055497910267",
                "209819322644296720120165582683145655735",
                "72528051488152446206625620808139689879",
                "171470261562493082364325783547680664513",
                "291790273975812486924594019463752165387",
                "146926575535244925603505081548915345321",
                "167424460280529270023429625850797968433",
                "87774466250173496026024867384231683428",
                "246433265366932803467849286110930779278",
                "220656215657756657758443776435905071674",
                "300907679229255472437705975855399804888",
                "24163531075564419697770335359783554505",
                "156181161136625213461483234938462279357",
                "226672966228169845623836826988076660830",
                "200357297291099356902215076565331453078",
                "298456067065316874460338127844907244415",
                "20633936406166182279232555545258815189",
                "339056362023353791950678940568630743168",
                "74051310929801760403366420060631801815",
                "210242394430735207929201682885259418836",
                "19809170237225551279917556330286517438",
                "335713503310756578976502807376038157259",
                "66067764323234481528323801311300216176",
                "2592524394849335994338501031944422095",
                "293846338550929642379522911272293987187",
                "158801861865517954740775595409967351574",
                "125983160073068218330152430516635538009",
                "333387772786502128430228772982148876123",
                "338747936318386938435047944621014067101",
                "270266774493390658518252663136678047269",
                "328418532412030915234841725898893668548",
                "286807350462525373223504187322555745886",
                "269750449714390755948920954971787715351",
                "29032164772392327329618928556416014426",
                "227563906686203171811023553344094563525",
                "324240078075172400015212465802477345191",
                "39323711818514732366107204242674583876",
                "124063318106330158092625184912614040213",
                "151260610808758173426134826896426882403",
                "264524367790597323365766901540315112231",
                "126291295822036885828674702749204579882",
                "173735558618269316310802767396707551149",
                "336011112451461455352787219219501806348",
                "57265502475655978744222910814113077503",
                "141670723760945319597666517918771758413",
                "235395578900129567490896435173520229320",
                "94287789667211345115596180386699845855",
                "72358265975929934534578271149044466248",
                "207613322227027869674268137745610787427",
                "269146576398563529262316639763497041310",
                "262515556654386150342756750956409279863",
                "55309002632690107717160278080962307206",
                "100224933820552870878726128757590030699",
                "177931242761956593220610987106848958014",
                "180168613061361318630360095614697211995",
                "306567891979066384104686675369322918284",
                "106041622695141358146322353267515216168",
                "331893648862358514061754605308257731604",
                "261897111722546670259643378604903351633",
                "247983779480551121031462112460549564238",
                "101223867765399388085957363223092262514",
                "165092056179564821216086795106559727268",
                "119849790392310399919033323424584319038",
                "141508601509157119974097942589082275227",
                "269551483708747660020164038679982184704",
                "1064722763261913701486635368493441804",
                "297142830498505255309359160639481714585",
                "329285049461655062258743242232369652864",
                "15285195608939063141238486366520818967",
                "216428327527442022863107181058860215523",
                "212862106816255131136482688749871909034",
                "44243952071380989943989687263882557013",
                "165351980920363012243383627555761340270",
                "104019087027301340478272842117206184113",
                "71658187922372195521400958095398027950",
                "215459908161773338328415832344769052851",
                "239312649656978233235044866897315677174",
                "107578927835370297715091642314624078659",
                "299753539043197440376701835932873195562",
                "306276816851920394019248999417258094952",
                "91604138774636169250451690475965214349",
                "44689438264749010685485784648709566089",
                "114968667239811021288998032623497076893",
                "254656248484745095638743263479106824759",
                "62773807709519414147897700368284175120",
                "130516152032484330168056835086944057277",
                "205974631522954161854380179731832682554",
                "217452935184466872615235065506790684171",
                "158715596846614841369740930540641010803",
                "19730255776554886647658528690180751889",
                "18956935268327494118963191645048985615",
                "69464168978410684210855245245548831384",
                "161383233509418828310319471890769051457",
                "295433025047015539996787218301214377699",
                "255154348835691118328474674839894256181",
                "37797163940207446092200800043165514424",
                "159589662362678784077527194020388852362",
                "178211809633026719854185312064377996589",
                "272035600719654034480414116595855823838",
                "179292024039187238273897521011193086634",
                "267580155306893146319801029739398958383",
                "339851610539654279002654341205543346798",
                "263905121227935452856242675542528946436",
                "183524192862118211244197616506277668885",
                "248249944996084552896376026977709595444",
                "8337999436023500787931324446683968904",
                "70508542751655826611119481298328479671",
                "274144245562302798497405602953914381822",
                "96962882478929065652165887267860585614",
                "41729120773332655531525718289018720303",
                "153346265259106760494765205138992937891",
                "121501692193182692514053202492956742415",
                "182146854699849738110341038326321602271",
                "40380365754809872385767800775028759817",
                "319050405672528855249910627785889815944",
                "6911083263916479102297149996249799199",
                "293753089364374170902062859657416289605",
                "166682956267522825493717990878435885543",
                "279989957136663770288858886022586466535",
                "102426309750857342962192268969590904993",
                "247629467416282900184958561992922974160",
                "101178159827895793375832883660248909670",
                "198419219152570709865398587119742688940",
                "129902730661195579511328037887269725129",
                "123354733007847816611713831808024780315",
                "31971784175467323088069066011900745947",
                "263763542189096903931590527671246772839",
                "83440818252514819722764251532194005629",
                "222540888037732313479348517943605998173",
                "306439977059928903908280074421372166945",
                "293633135725170996637059738953743469082",
                "94597542309623199933007885556372170430",
                "186376949264819392013420447258386159391",
                "199155249371547866372691194258622114508",
                "131711536715127118698362480731190964133",
                "51368475321686182165800969074197210920",
                "218791256220631681800336080089040681629",
                "93356919925269430448480854956669600612",
                "35844409333442795154405863857586747275",
                "267911838425054532285975834027955178315",
                "21871803639349227123780725745428171761",
                "35552218088964013368410810542367365628",
                "127348151292249620847258171864137089117",
                "105373078647899617905115877587706299202",
                "46530163869484776480598789565930203347",
                "60462251897147379717283442800275933653",
                "139108066952171713392256924083970986457",
                "210117237428501763274027588843389116311",
                "155929669040470919041212578348567689309",
                "241670920088140880879888341348760612835",
                "46877656169463402148172364881447651829",
                "292828557024017433244017977128058148665",
                "267504639522597631080563860264320896912",
                "190478406295067715770565419282546518911",
                "212310232101720618166726997842543214730",
                "214384487772046749749245102375388986063",
                "134991350693001591903531755774364726874",
                "61181681013988979322549547071902239561",
                "204298823322197092696760087930102220174",
                "334235261192843707421816908411596195114",
                "38834368394518989359598696621944295755",
                "15398752851848446441575748507515711190",
                "93503656841723698443915928396454136055",
                "273883850860351582615584760281231306067",
                "250942195973037171245980440446512538493",
                "124006578719741847164824614263948660156",
                "136998389162398160595886469172274594411",
                "280961903073562979569117869058763035171",
                "296095340886057268983716781211902573784",
                "188067094287198281532166730473212884160",
                "106121519501855585081383732198444028573",
                "313331500751679172955628125461561242497",
                "220856459030885483022477966114262736399",
                "1607778838957690005620721719858082139",
                "36145930431665269087757648657114920367",
                "266238408261566322326371635899645376708",
                "236589501224063228430023046558988376893",
                "93408375522680386160482584490776332373",
                "255863623837581791657263015066793465866",
                "323882904866642342229487073174848406199",
                "237194368099803429854024027323218871521",
                "123135325678282442482911177296067912986",
                "254832269275917131283200323352476274378",
                "39428883473612777680430727777195891477",
                "215393936335311055931401447949169026517",
                "236838576576718000798922995146396815698",
                "98562493878577464576566107081558069913",
                "81862482467577378511989775494222522500",
                "22667653222708895496813186814061597442",
                "131313301819810801826665371960098223544",
                "276185868610387789058673722503437521185",
                "338179292232402759204342799911542935115",
                "182182888002409587678583645325617424686",
                "248591870641214027038657134368436395423",
                "298258067587460083460614337106875021189",
                "13297790867616655537764819157849463600",
                "71624119013844128093480870860175198086",
                "16770100714671576006337251467274015730",
                "84809788062482096282005760740547959199",
                "162250595559018327284615855471498315573",
                "232113959115125383922560042366073677601",
                "221978458406745864192509675600844576007",
                "23864476792141230295404283662609873770",
                "28832474938954505901408115798165245546",
                "275756402897108241868945615449727826380",
                "297681229058499026195201580809507721940",
                "30459771182463526765741849564657305684",
                "337068703003639950341963951458155918111",
                "224979117616270129341217156550921777896",
                "58783067619281022872766543064003665423",
                "190939149501695832014697602976405387973",
                "191394597323499223662590447581530670327",
                "216923496358200864584692687459158381988",
                "239836127480901868440955318784670374788",
                "69946856569089589027281396976763012690",
                "209311688040091525124405200753421934870",
                "223728984349186887238519282367223932503",
                "63472517421607699957601158193262232837",
                "280909891347475257381478252699669383643",
                "220485269496605221972157170608329176089",
                "148218196653231412132958770852999605171",
                "136130671808140751814724563687949116293",
                "121859431440687791337827024030805622942",
                "119390021279833276902022129339583089560",
                "288791176346443909359395831963168650474",
                "331757497177639603803271835137695327943",
                "111061720213914641119177412580195889007",
                "71236125203162911915386772816830585167",
                "292031878279951811522237259892472808457",
                "71089762470232686277240532051134387323",
                "185986849885104145156176613815182928064",
                "156835165017996036598825040234019861279",
                "187101446812524300472540448395211857073",
                "278411787171387191515699873762846719776",
                "117493765846342594107209882945041550605",
                "269414860878489609862572223955987466347",
                "38297355432973633483948489121483039547",
                "202169150118856573242029374825981968322",
                "264003557009248060320947792449105135314",
                "263122516013178953173530175918047733938",
                "297030070787217211634834020371699777027",
                "309876237155749379061204386355083531639",
                "282557662217260062032096831504808026219",
                "29180762980707693195322535855056857405",
                "80406664947426335936561137437489882788",
                "253554505031108887885748109494125825395",
                "176643367712624008863146245296644153889",
                "327478274328604886244050915587347398091",
                "193537636120925597430198872513121851455",
                "92543227773423688771655634195958032368",
                "181679263992747941789736722493667662823",
                "182833744903251501728101344342058537062",
                "87165112185806393296010429153509021985",
                "198620419827492583251708289715814389198",
                "277495839567168049289059103024424533177",
                "319378587600791174431440412601543568862",
                "213417182756391333416737449144513614716",
                "127401986040037930675854698349909325595",
                "280144905676030633382234995921982965570",
                "173562794021619493117531292323074868655",
                "101712335182853913844691050531158632069",
                "287394692357802077457658821944608991875",
                "270163750651873466067448676083121326613",
                "232025514179363999908196456161457159838",
                "7369616082663809067320113988340474698",
                "98907118942152036275247661214056887642",
                "1228094768670301575671872451911601398",
                "32255042849607152076822981142388006206",
                "332518076813359120113592912374250187254",
                "293612477413001060571964422824206945584",
                "102431749127883879591522383043790133508",
                "332171577327345121238521058925806962403",
                "120910845627597011495704448023616048779",
                "201923318480078988615384600433612934885",
                "38271829331670207613906203587358570762",
                "289071829879071740531733617568020826900",
                "144991570876174967477669415038274585586",
                "300184503541178637235802996209858817219",
                "245628778206739067367186044538370969371",
                "246573347412157821985428899229997527605",
                "340199464343144767337114208133818731172",
                "66347512813871353636877764967804538561",
                "32891823778223704147022716382907606429",
                "11808196524890206417625012209913717940",
                "165385215804345517815306192797664162622",
                "180588474219271794207022072664047150242",
                "242248785714327812068148775038903634486",
                "265464728909494511837123098271812359954",
                "287310621668093510004559755458063844096",
                "283642372399109373639737896655498882666",
                "184200945647743844328673464217107705906",
                "249656261385457303358496966776345791645",
                "208466414151818883486348807164887033883",
                "155058893902202823664775360259552039947",
                "40554389537632467224305267796069808705",
                "163690402526501556244591050640488046514",
                "237599681378117846382801838507861648864",
                "164851759204912008560451274676731810927",
                "119122544879599604125651662230792855799",
                "69385164887640641029560388101745858354",
                "113846543772302340571736068107476563681",
                "10097817643838568190200594052103952282",
                "102264008212509635200879296009188100582",
                "122997728902017456386973300942080530986",
                "228994630400223273398501412350542845282",
                "151971684402807889246640137698073070799",
                "162144148392067081725395318490907793492",
                "56260191741230597989524309375253576553",
                "178057750320120812275587502244584903764",
                "102123190432919079182348766615370481315",
                "16288372259144679190185709013541994886",
                "309282106854404380072160688032593908776",
                "202619074015248081835130811406766445563",
                "123220387844183490862204506240120541706",
                "44979342057459502197423627868128019222",
                "98614691967661166309190193263091265117",
                "309655243801597821802252028896985257316",
                "194699345300022572835011190852063109407",
                "26486468807430270872823402692686631654",
                "95372395551829258475488306444339721650",
                "231569402386818042916799732864507726052",
                "91886203738316945180438850341364574690",
                "315541363073437103630371532761943647862",
                "123932636128845809072477586412470102083",
                "205016875079198628277075782135371639395",
                "337720660282564020816815756842389035248",
                "293198275780687428604711819205763474811",
                "147395938650320644691843439882271915326",
                "195629700409381988522409925709311016529",
                "75080235948547274056832140218879172722",
                "17593521001484259078475951846520291580",
                "1903953131940281383041340662691751298",
                "110823795405320575720751600563211522388",
                "245954842849833679318692626256290151970",
                "63340859853750227648921505045595556839",
                "71528355773263579695285230616127891332",
                "180338698451875669902825426389582074875",
                "118273023376868555691230449079141780302",
                "153940259352196850433410821117570401465",
                "272043008357862459033270367345850172179",
                "191584977747888673418228369892417452107",
                "216040010814736839972798965912695352548",
                "182388677952357866910995995313645524964",
                "173698755032334132108383861389181747313",
                "279777338959913087370501132093479663096",
                "292998552994394745993727364323776436624",
                "24320372105592858631789808723362020129",
                "7602377677698192914277822085031934281",
                "198827738804087035055955132578634436422",
                "297515817604218844473863188969341343657",
                "218328119055032454741212946858648803550",
                "118278584691906342489140879477007188887",
                "142019132089449909182592756379795530428",
                "109471010180754501541492936187223632481",
                "210402302719946059152268098086757058730",
                "13593530094254203448678487427130407899",
                "201762928189491965032706619904953666176",
                "204376864459622599190803059482879647713",
                "270449711740832323559047593937782014984",
                "174975663056968782831687793617451456539",
                "46738929767978613674528676392876372797",
                "202339369609277656898355114998794829633",
                "253795576417240043307513442025284163859",
                "333703792775151633383519667540741780912",
                "34639772616804667127638293891793128222",
                "299282306888906745816891124250680212267",
                "326076860084515705812700925681798140896",
                "188091627397132965484912492833293626174",
                "216061155849811548628961415846198189270",
                "18205993675356219396583483955976423423",
                "95763761879930533623127698865331200767",
                "161636060209877703310882883216107563109",
                "198064235094912104734773843396051004570",
                "327955640354889679268556085754590707804",
                "38831006240795332876875987234711097744",
                "208337739593380931043604949405725664493",
                "115027561572956959522213585091645984780",
                "38922951280386508202908387121170538834",
                "87158364426861510421221085704734366019",
                "21719581242665009026965041209123141842",
                "9617208034136271332407049198196765230",
                "116973454584902094266935650431684167898",
                "66742398505518968301296393005299180395",
                "72130633294722908329036698021374793675",
                "5048484600491298935406382627973203143",
                "148543557674436202829142841699892009009",
                "292752012103320689946560713833367468059",
                "114874918520292466292964999667845513808",
                "305279831124139764166531016887674662066",
                "161131082663752925739048139793257248897",
                "120388854311420634155755395054292841982",
                "96145104235964001600976999100868546650",
                "43791307574457299474342662645693224204",
                "235186117432078416681666874682466809162",
                "70346736935604439601435019830692039532",
                "292132725037301178047726617966144629014",
                "25893613550758310281842430403664435375",
                "114926736095881807293135037177352292865",
                "37875312017835750724282986584979487374",
                "33861487189974799208257037123861441119",
                "31306218086288696206999652092320151067",
                "159438719370222491259012165955895955656",
                "141274870662983215217018422828574729960",
                "161791551291440395267892443411366102990",
                "186161898038940324499627522832416101733",
                "255528637411204599424389030313245575556",
                "185363608887431603994154269839940960935",
                "182829735416770551570842457658585235425",
                "169969438758052315545660746246399101908",
                "223929227888597356718056248998463915372",
                "111592917750172830143814287575231049046",
                "321568688296484996613137064557752637998",
                "323098006970914241713263954547660527916",
                "32608199968685657680045757148774936113",
                "25461475843888304399344256359134693426",
                "105019862446786578670912828052914939439",
                "233981430303838756619554777110746225602",
                "214380588546746562176601232103091611649",
                "221825383022234962836253276766886193620",
                "224300011937671477599845852935705262396",
                "150770590255262482607166939288558783706",
                "324857177109233020095823930812801034104",
                "234981971882696003526316686813060380516",
                "309465642747755762332117821601437069363",
                "53940958040474558231847725056733254433",
                "84479403866503184536620828844548444204",
                "201156854516083620186843271912164948578",
                "44248643522540949633734362476152913535",
                "127181654883426321414647207068918662047",
                "64923639676004360105503224848642929183",
                "19420079817640884009587273232666948069",
                "69560551534902855159914703831683232835",
                "213559394322097046564848221557076372561",
                "149471421237958906676884966624098551339",
                "119383764325350381516330366465856983084",
                "114860502046224201779346626716429700082",
                "283162409500805844106438423527309320571",
                "231899631770826501023889298464848510282",
                "314847369034099634920829275653849398124",
                "87473607697427644491677978096445853535",
                "6409308860480461527145204036283011860",
                "215929295210745631455229464275263285122",
                "189044117818157222737937418545062230181",
                "87535941907590118429306518144224931809",
                "333101515517863946205878196264669664935",
                "195893606361889938928632948536543199468",
                "139524261598795056947615606663740353403",
                "313131171183138898062932850120834433132",
                "250476619726268275601581602436652051782",
                "76435214774500779135732160592389613268",
                "70494421825301496318643150072879394194",
                "201423588153707878706722958943621915889",
                "247182767698349774615243722303149093783",
                "159902586101936634281662916127725809699",
                "249282179286700953601248371686192297495",
                "280217765489826627824517972177691652259",
                "193617777252542610128068783234755873766",
                "53112672453097204648105966537012301676",
                "171415269958851727309564709003717284309",
                "260510449666644648592429940936336280015",
                "323866903653772088749638490911536494649",
                "215267759784064125197541511832607708901",
                "97394744150699522442152402119329634726",
                "326235111639512739928837976647901970947",
                "225132719958387442197004488218317194797",
                "125726700303102387963169985224354495457",
                "75151426131121450042696615004029801374",
                "238796338872942121589486868578005302440",
                "53146007919788716901881675257335104604",
                "224208647918484675995284665070088708258",
                "16604868457475353862131202190840692566",
                "158326899349954645539486448625522888416",
                "296886870381118707296026212034755120093",
                "238057880218666703758627999423852093255",
                "217313064524780134964411172294249345704",
                "107638652230527529416564677987376065869",
                "207316449778737372245065519008366067942",
                "314958859629692011283168293147681842704",
                "111807929639438311497010308122330417004",
                "56239625857773087770990962399538639302",
                "306863766300884601840972626175674075972",
                "131379745636879669191489152359923728210",
                "340232752677715866367079203539224470952",
                "245836019814067852539819671613783004999",
                "332455184508468977501390941152100195369",
                "252964612698429157030099449838872345500",
                "199394091603535421639535282555424324806",
                "249856684472105395129730454150786151631",
                "234773344509487704477549105579526972797",
                "18080983413927623878194082359816331934",
                "52955480782353621383484783828648836507",
                "189541770689570132242625605201251070297",
                "181946819123720271820912654468262044424",
                "186439390091477745950769040853284667988",
                "64118148377565596651063714910181200396",
                "61191718569217026080166753681842396244",
                "107362007701921299429469532316808837471",
                "187044642304054148441673243596190614886",
                "322199060009119756852881479172201865711",
                "103943793263607018552148282151014671467",
                "201971079412098351258498565495284071186",
                "90726153865029286255656541612472331172",
                "133110843413228648567658372149028158572",
                "178181018614879241749152670323389293807",
                "47129505091723180705812880169784914119",
                "291019880244224782396145424457910305260",
                "296264792868279630342521180901102274658",
                "140202394682024927126106179064151449661",
                "151998085368778156925030443230641450643",
                "211253950768244245778799631554416206411",
                "83424185718058116469780553856851966038",
                "273698285140636953521172586995019227328",
                "22697850685130441041970085655651794932",
                "319910424002837297031773626542107763535",
                "245414294683688785066606545793813466582",
                "237540976398089368176654281000304740362",
                "618000879496229520569303339622923192",
                "276721685599322445333509249071948851490",
                "84380108418767640539155952267704538279",
                "47977005546671820233564580599391709723",
                "118918109317809030168092406564099635376",
                "167510397259951714857968048759930576570",
                "140781902478534184887664697253151074667",
                "199821379749287550210557487714385662684",
                "195489651220826479591789754254449093165",
                "63914272697969014950529767093771714841",
                "41316593185529094241337079159742545867",
                "212354651888228228753960121453804033176",
                "327661747453251017652449497258006266243",
                "95526897354820398383686358848080681092",
                "207462017800286179651941236701087225293",
                "78482684726540068709363107973310991132",
                "161284275693817714952544270243794426055",
                "108668665295042310799281504143579479742",
                "329146390161602502556450664174857493347",
                "267079650893942936262404642600554487405",
                "115343864027740789100750747213156249734",
                "128581094230814223557897648411853027164",
                "335406205907194900773579633555199335024",
                "330380099728760800044497667000752701549",
                "335529613116275730259099490003224602171",
                "45280738531129962066494991552562421706",
                "253269570390851100179099671334886307547",
                "164280663472637222627387566514058460170",
                "9868236028071041425964358859490867659",
                "194319627230184635213467233399659722788",
                "285032697083098479597057314239884857364",
                "300221518137877624850992509332692496242",
                "106661857592721669810688453793881770782",
                "263851299663416001960888828412881881446",
                "323463027034895350391305752778594520689",
                "182196439516955217879233782917357652369",
                "336532857983986378022133010235716113280",
                "268331000158444370953590367186207100484",
                "90271759458395349072729176330129331254",
                "120874081371634685565182171898691309338",
                "264755080171265105449407135799001664720",
                "257543920879481160369041836796871004401",
                "308605078806208591806292388754351554492",
                "227723317418315066829959662074505190769",
                "18183235805457940263297107309019647836",
                "101473418188613625787323442604632106250",
                "146757246076014847775668003832473735710",
                "105336526057325530200490313748238132301",
                "111096486369838077030458442731252500387",
                "162087622150515623762456390153375946057",
                "100990786441634856762271380188829037548",
                "168978630059607072466874739206312043321",
                "192969834333860087761998592803188622029",
                "209048110861193275459555712493330724614",
                "211749679953868137323040616963225199778",
                "141602636615051886608158871520617024603",
                "27126670270198312897241930436726322014",
                "221435482782484312349256921702281146699",
                "148939996147830710182193645138015943759",
                "58883321567180960330578887530750563697",
                "334144917677908987569719490934005552470",
                "243411399519399324286298143571741263614",
                "292019133560665075613695680188235223270",
                "201663612161658606572964669956055649873",
                "334854205059024740766015263932286372550",
                "312611545167212465540580514158128070950",
                "325791060039697653873575737215902338432",
                "181374170435514026685313523849765484515",
                "12606046881224295195349007022262534717",
                "11571741849274351323745458647323033149",
                "187556172868342842049617429149670997463",
                "263123299301508574787308045539262167756",
                "181825957493527136472898067161948003356",
                "120664176639746390054998396923916321272",
                "298828188037343468173105198632598515041",
                "44421709867655147457281587581084020508",
                "185899112460011670164782764183214415683",
                "85271652950358028436359767761901717414",
                "102625111827274600100455920581222729971",
                "193960209061676955113718761320400130519",
                "324134954432618918548671822738292071027",
                "205342380741047785152577180476546219193",
                "44465544214026269341425456327966010592",
                "35552047139208840778526499163196202026",
                "247307339069881273558598335342682395388",
                "39610927569058120421727623602900351301",
                "304155061618103726564650368601665374853",
                "286234681323736709949628724826913516549",
                "162061310536131009569304024265611798036",
                "174458101783355259581290672439231135243",
                "317156659521136902117313759154245169279",
                "319897228776709388016344771807917943609",
                "306166798783741365794680199552913230300",
                "293611305557462678500774314896060718204",
                "200144573246948864780474951954595563706",
                "206576979676748674100822335185025979330",
                "39606273976646034071405796892433734634",
                "161940074397079523366337106188836793199",
                "36076672785385994467498530158426076239",
                "308719492346982142543799447883005647978",
                "91655026824009264605691027202648061872",
                "173102089746393764162685484957557065668",
                "100304388747796794162381344980097719867",
                "329926169023357873684241330809435467218",
                "258963060567362788385580690146603580253",
                "175834945474171207089182636628828831273",
                "256566338207901198355150000048488881056",
                "121615446012172173595408376015192087331",
                "128600621714824960518477369644243213887",
                "249198188210565540255009572983918034303",
                "299109474113317089580359642491321366886",
                "83911192367438894972415038993071236575",
                "295708799111032959919508666670923478477",
                "163152323227063923153363162723026547095",
                "261780378449049763167868634928039020253",
                "35572728143968733414733887934802602433",
                "30114370204923504181075715023602533181",
                "269353727578070920128815810225423226154",
                "192676735870386549806739209910713790106",
                "161638415711755678861623843991599994399",
                "164376664548707887541366485449473757966",
                "213608262939113928776172091624807127719",
                "150155816347775072080084920946159672702",
                "158663459140155810497700583364749345066",
                "196653517114112057496537167757372163571",
                "227559949480807260031899094244313798444",
                "212256360215959073653017699527420599815",
                "291797332696622646699198659297980096419",
                "63000419574109156855075544066967543348",
                "331162827442959446167504276536465560707",
                "112303002670591342557438754025158557943",
                "166593068251673813473557447892051679227",
                "23087672980772138477123372221684305575",
                "122822611806608176658500127465784211103",
                "224232403408285958993260901176645571435",
                "249709195814698477102733380186564463979",
                "209130701771233673376488332039022231252",
                "327824553165937665653229780012043300775",
                "205721506645453831917809586051023257968",
                "167178589756878558457429626897595439979",
                "7227193978858061039398075796645856217",
                "141467419105894461860442128313991458799",
                "30665439850460191790478412163399213703",
                "225073230048099720395490342724100920598",
                "213150375679158418387569998648046592930",
                "312994981485915862015469535350339674752",
                "225979560544287775408279619738302907655",
                "136592787584499067892406954954193192986",
                "107798313826506519708401495382144701120",
                "124100100456475291133301502500784967618",
                "221135808603290575992297277663840310573",
                "107960784788440871811601710995660348821",
                "23704069149695534680975340588113314719",
                "285021474266533723669994633847830318128",
                "71416091607665635120832684619364928948",
                "42483568338316157351176206768889240429",
                "280189277353209587896596627928299527757",
                "59136970904206156627302592618632651848",
                "135331500968573033470120729300081293142",
                "233312110948639861378293763563998644896",
                "79166195410305374798947192349274745822",
                "126752241471407902287027694880155654253",
                "40166657967235316335278332918312125924",
                "198931152624656252127255000478212288180",
                "133583538766101421697456354953804153303",
                "31775710476756020646450438156754951781",
                "197193550423022785608629377547670366893",
                "6198795867678087772130806262196032321",
                "54743855059189055360276105068941446093",
                "75378444578900836778322396962940485027",
                "133733491233983739779583206497597804108",
                "255314779714486584170175641068234105346",
                "155797416290113111246084759340141739717",
                "140072720155898912640429406475773114726",
                "197020567706691301080276326774454130051",
                "213384184191423440216799990335457400679",
                "88388313372845128087605901802647997405",
                "308391417966919278784082262522518419693",
                "318010444699403036262151690961269871540",
                "269748994325296256084423615547219705821",
                "230795667237458381190286141658857430355",
                "128138267698507132598385506546016980436",
                "202986181343739556040211088310319323994",
                "153161096175124011862236913290339739163",
                "269744286336180639286952038884698010313",
                "318306069979525941372773810418136143415",
                "106369751845067258095441596080826457959",
                "16626053503034586676828728421511675991",
                "308349716325143815513444871460438665639",
                "176979709375872678378560518148129223878",
                "25787446542825053100524775035344748430",
                "27790914024498264899735612526305077829",
                "128522305228474187724264955646023445589",
                "339418616788229748514828107942006842836",
                "214571984785954766960891896164192591222",
                "292759061193515044293191318336979878300",
                "272966104717860028615822274234175811220",
                "94694137698202452328180645178844046560",
                "113764265275977726329984310568952539524",
                "296514611090935547178618765258478749024",
                "148246663949700055381154502478145922856",
                "106241628321786898589617295975742319234",
                "52008671549371721345700101322563516269",
                "51735445501731254229518084458684750610",
                "336586295591111258640116006426929816445",
                "129448404021275559691348994874623834128",
                "268207321660478620832741104490508056337",
                "298754001677473197930311710785467928647",
                "324424684844828740180790055014341737045",
                "86024704357443271957215590128712786200",
                "61576289110534927071288520160799713365",
                "136654742517761173658535115528160726644",
                "150092550209260102616351644653307558205",
                "247361836128053543591115161576540095188",
                "339113143200884134001971759907268723477",
                "43593457653183197755365597884017260517",
                "49684315614381871537362079339467891998",
                "332651816975002945792176102905574141775",
                "159245460990291609183664101602949594018",
                "259326932213308435103650283803998224583",
                "183200685491219986441236551181018260003",
                "295281992018447746114470122940224968309",
                "124431225200685807775272139701730417",
                "336360434342885199509847107893254788007",
                "219888705273222092949019667423979085541",
                "206478812398651463937541933762283237746",
                "304595802809902045565843015680422449468",
                "185775620776765250355007606550221581843",
                "80504245351875970389265523156799430284",
                "237285601578761960154733044698052753313",
                "88837524442077399522722774260935100274",
                "79865047185131207222975436440485892430",
                "94636112409571343779485024669053172824",
                "166756649898037836657368967701335835709",
                "58141900370610934571958301899899576904",
                "200134148932704271748371480064753313321",
                "11805277534349389201174001682301766384",
                "124998090107007686300930352515109333815",
                "254723089732767299642743884163902110082",
                "186454972026291510394783676168300276155",
                "274414551232981588995885518510139940436",
                "110997764553458169063177190353066827340",
                "184317015375900023599809515830392402000",
                "122253669338980660690585045979602232488",
                "113999498707558633731980277991119366929",
                "209989809010402576833912873162021801821",
                "162972112618879438571168177587163298746",
                "256857745000400092472044208887447216695",
                "309623892652708534217183301652330990426",
                "232100307316085544001667917379390475871",
                "258105124745736352331956622316828042525",
                "145035813289681297725415012143040016996",
                "220945832774520012294629385180051374025",
                "48678927683478419146394364094552373982",
                "104602663420252875761280376813710878033",
                "141403313998144496413980322394132297728",
                "71300727662902918967380667843520000587",
                "225308780355470140145021602157424882189",
                "311806915888768318445073723533107281245",
                "88552238707571989252551133140322355456",
                "186074975425757975098052714349882091649",
                "1001648560018759247079940233997867141",
                "106679022520258484737507124000965089160",
                "150033276714960123141869130946842454725",
                "72083097846824920475030871092580501706",
                "302615046624658052032298775797447570459",
                "324376618885005958126338447241955887881",
                "91579488017077477892134228470523531417",
                "257274290206522542913298476399839411863",
                "326574569972322081041549220425410979198",
                "252224112752789221514456993776984369323",
                "249596183298201916594503474771139735141",
                "131344489031148738562247803803047529028",
                "70348575898753809731059565160777999301",
                "6224868672671098694331940294183967115",
                "280942683830506569331138165061857039156",
                "2150580994934494545804181222226969182",
                "264462137402649532695206603611619095034",
                "101903196979913943916143260523591606855",
                "87176310836032549501941349357518037397",
                "93202922546299340247549940369460597959",
                "303154401416928285247043299422121731294",
                "272539650548178467781681561402255342142",
                "84707320416476849786298079813157143707",
                "296718496039877094945631195111822547659",
                "217569694322587636638568963551384025994",
                "184299857680047039786140455317340491897",
                "121519031869540140700911066542338163259",
                "292149611052723881029369092687914665070",
                "69488154280062192643417729509426232727",
                "288196505630000210984022778285350710018",
                "276544046499570012350549529539328557422",
                "311812194078113632841977008350515840701",
                "80433506436709166198316840846519158128",
                "229639547663679892878799939108365067009",
                "168206926932683100137302627257365170717",
                "99627761857991955256319197848144326240",
                "335723092698203073617591252873685964393",
                "112461811713979909032126123899843617659",
                "263546216856617076610260758647141489481",
                "31377970066355286530490227323395293595",
                "35509685293055511159104828958174103644",
                "13034338626494692237634600176060282204",
                "268152207812997398346547748844549840371",
                "25861618749588703062207159239378716379",
                "249634557159008724021627536638848481756",
                "59986164136847920676716131718357784875",
                "99015219513445717145395373372861304743",
                "49825606724807088148283081395651588228",
                "312204438595617286568551388795052785844",
                "309903468860654631269524024902130795561",
                "278699255398285084852124543425533569355",
                "170114765761760825759635286285247476325",
                "160046881586483601198313225435335673233",
                "88623608063939717956923836304082578996",
                "211269686642947166232193499521188449789",
                "147616689582422532156709728044993046304",
                "75969981700821610246645785823195507721",
                "86449722061049150930473720810288050747",
                "209333854098624929944436407285684535965",
                "249661723495662286929942833907713579219",
                "174885908077089882213976946324577977385",
                "65431258415440388807654641479880748755",
                "261770248017013204907350897562931779431",
                "147793888007865379781735565275643745576",
                "63243580848870564435287546252271956837",
                "196132507446849887178359001437600239386",
                "186437542572050187821010586011587238337",
                "31724946603392732538268110171964416695",
                "23459728377478035715850898174410950309",
                "68976398793432723869685114414247516549",
                "254673911248910225851822276625271025277",
                "113722497474946687693337428939757630261",
                "132026568995082619833274010182111398066",
                "271922175894496199047932752413921642816",
                "239149417378266181957840609866248481181",
                "131513064296073913494610963880743446741",
                "199893064201253386648681681903485736365",
                "142577321224301939794617581040103348014",
                "251656532566988586705045045021978299150",
                "77234426470721670015497176463205981117",
                "72737199361750880381424516773893848768",
                "253166364175482694496903653315188953779",
                "166124757512955293222806388866333788031",
                "327410135059987403519936659474356458039",
                "247860530316939381252138676270154849490",
                "324720051480233468230138078959109416079",
                "15178209123816449638124116342372044288",
                "159258195045183615686797162370594987104",
                "201398424553345733950273107826930275047",
                "52013089250562394877904503455458256497",
                "16226269614598673634396142497115528937",
                "149352450927978597010811938478510230981",
                "107278023765583530488423414919737425433",
                "25925369344556025373604165565432438415",
                "168581795927572670362678792851582805630",
                "145903888997751422010069892951958094925",
                "76206064523682881407535270728250547649",
                "129692215467289819923712129223297623828",
                "190231264954381713662847195470799659510",
                "291314333944252795459979615986701247721",
                "238066052407359233555765730284741285291",
                "98312718235485305262535292231512912657",
                "51564825263574648230577989322144262921",
                "133366068306722001605775165131023602331",
                "4896955217045986863333479875713876499",
                "13191756638290997298556832242023727027",
                "182784178919894986231886813427963093149",
                "209044858208166825000097183285671875210",
                "211714482405463739262094697829388590710",
                "336264445452613353460022952833853266781",
                "229572562684415234000629128870192420006",
                "37807344729138839552229962385412411839",
                "251075345517633592296554366766733759881",
                "269468418807175104011587645514992220150",
                "291871844781993076630780878313721903787",
                "220591734548677430099595794460240006660",
                "32924721960257742064546353536471383820",
                "118853584257402024551407393769322725450",
                "306822589585564085008202009457299605095",
                "97530685394060594016389315640038856694",
                "197635257260195556633150317080206626711",
                "98739103970358318634818471886015668163",
                "3338829421072623887360337362412161995",
                "220896197457477218916663555919349758499",
                "174305195633308899932077780380427081105",
                "282458411373754134428304653657678572861",
                "20991843268216738110998408731934899125",
                "299793178577867313850075197408335565008",
                "138980252549617390302048350520329871774",
                "27795604669321556845953054061193246495",
                "119527346291323798916493274561941315512",
                "5979554511352899381298845709512919825",
                "213935503995250047344050287475406139071",
                "7223625252466903781644405626944135471",
                "19273639067346700430534851512611412984",
                "73162195495733634567135592904231154636",
                "308380794863476457154879915536792852190",
                "142257176424988315198995300668139192099",
                "121133470692503334664223386885632130204",
                "182700411244203308232729175635140623894",
                "88995416649839018046895942686317420985",
                "168344012111258666179193548161842661567",
                "8859788279721338607567513872987609253",
                "143229101884686648554138212816783003166",
                "125308464060272366385010954879808376718",
                "1601566592479619532758756994227110811",
                "213078977910336148243322858311521985195",
                "307277808143872072245752486363498506366",
                "69638106984537273365326073329392927973",
                "104112619458534725231296021089318016198",
                "144561892073552437352975006102388103678",
                "311557611853189971546805711545584238405",
                "298863898040975295738917600454899931510",
                "165349265284378864071987168221531050396",
                "313618468483136642218445131479179001778",
                "230798204647799545968341963154139190336",
                "273737733880223849234672523453940999591",
                "124421596669092127882772917818246529312",
                "84225562065387076714980574360991535694",
                "12384603522718271215769458044667899455",
                "262300213847441281540085813056529926155",
                "330255653476821172444808107896287613127",
                "253018922609776118071189175741962926625",
                "63438584899031410713137409542852036800",
                "326050650651919678482253188125786335987",
                "244266575944232633281983819489992072337",
                "286392200834977676396538018481668055782",
                "189915002829079438345701454569969119024",
                "326922241560139518706668422452591217465",
                "259675578216463098573879503111397220650",
                "330593956077201978873321199485936849023",
                "159720416159718743695029015346890693190",
                "306536754789711298243400930250625540204",
                "245751036420323629172163001510647505352",
                "81829304536760060213592418807764350604",
                "218545062588853224601884923648512393850",
                "153244679688865463927679163185137031993",
                "211925024507908910964240841528291625895",
                "55013788936532379760932178754032214442",
                "237480856582873464359181337313980463515",
                "269050893671903619997109102105946890393",
                "143439922598970608100651133591767880945",
                "2556681166766317034044404628169570398",
                "268830591501148551147752691638631747277",
                "115513232900735660471866730398238406614",
                "57041315708665763864713475671992666492",
                "286563404249946436321924893889366389401",
                "230281984634013108596206480690760024446",
                "67533126481343270467928965326051987235",
                "15863170746816409016887043101505167258",
                "154665378119775251541403878348244852739",
                "86679190289830785437658735212472550767",
                "319278568684416532031140288113118899001",
                "320961937805339260612772487227066255093",
                "49978031359910205047723698938787411784",
                "95674167023561490792447895512218377961",
                "75878098795016710899858381835783389118",
                "112962084032423461170920254830511582564",
                "198960793270347962796293265400751382351",
                "64006976143970379534115038807734809685",
                "37797839512418262135397696752938759384",
                "273256444332943995614197216151187643383",
                "74998086196057844056761388871145141235",
                "121429118095602361470234590391902859498",
                "210350934007063416518981398772000632515",
                "83252063900023510325989887789118559125",
                "256886746782918210003066749816798069047",
                "223061599429948389582065260852949646483",
                "221321951905676313780632548645241060988",
                "77163383306417071323781908893549612024",
                "105894409998303804562115385921574454261",
                "45845829079484852657104069734689036888",
                "241611282651030357449953525937103948472",
                "165192032919870076448018472311511460272",
                "155515506099068354430492537634713253734",
                "11665999559093855438181430050078423445",
                "11121208074906757137232747559420416616",
                "300726381880697244452343934729687839468",
                "111045786761082555683055818588294878694",
                "190107362136429553525585676450945832506",
                "183587794372253021285338463095207772992",
                "94874621108651917064578444098671639572",
                "50643054003463644021683336912504682221",
                "211965490076936834137504449871132642621",
                "142685847425432095007813634312327209402",
                "118176490472465022730644952910432363546",
                "45271050182807542401196608202481419179",
                "284215579134447132671642210778472015079",
                "323389778808756876359088396031912671948",
                "213292479898567659344796834926855420287",
                "252665300622017078055882482873104708803",
                "267010997714796883815716142699825316730",
                "329098650506736859160526205423743963443",
                "241560041968377018746613031260346508927",
                "12372771521491709003520049230032550445",
                "204322529615637915556284111597748833700",
                "129029960550952728324796104487598477813",
                "128773672088778538622467676997220760998",
                "142735676025429275183910798790666686690",
                "210498402756535643258650025429981895454",
                "179262961902860083000852739701122674645",
                "200500146549568056412836691483750835582",
                "200090915178545490453437740028151034368",
                "314593116602385484172598106967705928523",
                "253473405504579582302451489564707125034",
                "78036060017291666186815317242905963970",
                "3859153370242147760507139158005539273",
                "298970877722519468505487777178698194832",
                "96205598698532586497233663299902202789",
                "67763929560724733320295309988208082903",
                "89432289608692207443589882274747884171",
                "10059935959910570224366658066167676220",
                "262837264373828986069875424528691408044",
                "221127144248423578531700328630817023280",
                "119049213949278267083608519718748619268",
                "239153518184766915954502249305569053961",
                "85278598936153654895790860067505537596",
                "235424863052451488941449168021638727382",
                "104798895137965923900250119994303538450",
                "169687818470168789110455441685089873978",
                "278608464277358656214648819293002790928",
                "236455438102088575101458132515557212298",
                "290348520981771508184101447277241148968",
                "287850942456842858788496196293443630153",
                "293953629698075846204111452200389545058",
                "212937289654975157317644125224876085586",
                "75693822422868869404207563964593242399",
                "90290041822186342458285168568881115390",
                "67812584971825802163183407986704106213",
                "314780439003422029173632308378901482865",
                "62405207604358494708433484177532342236",
                "249023896125501803240007900219839434950",
                "95489332932240488734083837249644750202",
                "212334781211414734251893436475187392657",
                "230455007920957354697201660648397392549",
                "76274666798149857732841151751791990758",
                "192307882591057758021466428206897208247",
                "213056864410298565276013408346201575097",
                "311894468203406465611606205347486648284",
                "27709259980489555000145054359796398425",
                "151686248688511332947086167498722499440",
                "146261259765482772260677144897482596363",
                "100294999566882686662559768830846605199",
                "281388852758852042781030882677923140999",
                "98026288709140334307017031387772858968",
                "253811570860208976788784217629657657844",
                "150059400164298944332515550794563913951",
                "243960847317773573527459757267961068646",
                "169527185809476831634420732433213876571",
                "47103105304596135372488509605062231211",
                "37281188485716369894554037268010908750",
                "263652372262469055902971829805875030027",
                "206253877084096630775582541541148202384",
                "194293277678071098393710321067940882528",
                "15751463874873835359779296626649254290",
                "241761618372558141663705963170369645554",
                "256234562553338100748819267962113382689",
                "330891116252347536287005045294781288147",
                "82568763679074981125542532763169800289",
                "200008789712289168083983468002699066975",
                "98435430733721959395434475446677505702",
                "34522134770980727247868319649193844697",
                "330487565421220521186434492910798967218",
                "184065199536397132218175833117124921094",
                "198970419593160544563534778980285942460",
                "189189557754430368576690020122007323550",
                "140919583178658714693035872055512838024",
                "137949850906195524019297834008247411153",
                "176391680980613474866741191672364928508",
                "8071589971944153171761894714317668783",
                "228644661421148387732111729027965408835",
                "25321470684892170120434986193372571287",
                "23290112553553540635454496987845617750",
                "312835710256733809174372574782919172194",
                "2971777979808927558454619679031281079",
                "99307919101102119149971076817992109390",
                "112868718540653880041500582316370041189",
                "189302239726466184170103761156895329280",
                "194036256430200221039313964444484693136",
                "178190667703044991634635475001928428119",
                "324394298851164212050736989909351614901",
                "338235311710897350357258246468477076566",
                "112138183523020857499549074727961513864",
                "155585393931862030479241678233069322587",
                "313679774400851320976073404263226048600",
                "14061232097809600059247629062987315310",
                "42474551220440562829203455977044801979",
                "30265055082978172108309482865683961572",
                "173477939502763559931331658401336891634",
                "104049502003317608955525778701102697599",
                "333016684897038713508281141432346424360",
                "216652327778684262074058577362292629575",
                "168081630961903022170528098345717363569",
                "305772030042854310139006001944364189400",
                "259260358952129641632830045566331156689",
                "1890090910955700841438344330793935257",
                "244684230963250458518172563945469623596",
                "190162877122613103644689525999732938087",
                "279821014106156351130740439480076054369",
                "235307440152169819869922959192910108657",
                "184324910978986289547259229459805208304",
                "126197051497640582524147976028142174151",
                "225341801895984801133975419517274241430",
                "77128167688934739209439240663923171755",
                "19238232664722793514974938088172513618",
                "10366712808936088088667929178115155445",
                "205024693308939270974238007395479979382",
                "274866226689299961721420875101395382257",
                "232027125249427810799411481183089733201",
                "250690433765563770066811404885153635897",
                "312961025787528547298933468424602411743",
                "187468483624291681276120536875294769019",
                "14296017825473494368121271794924640313",
                "79278820812816302766687916313073975210",
                "154797597454955570419044107873003153435",
                "131558580487158130542411607824437940511",
                "152567505758010945978089607062752302563",
                "171447230370658669138574565496386713624",
                "78009309448749304241595026758596902433",
                "208167010444065773543343156739209030834",
                "221966904008681762738116259347602347568",
                "277062175047098767773379095888571560810",
                "76491783015495466007829036575291696468",
                "235795146715021298892472753049102438441",
                "290643925835390529391070147956679895758",
                "260039982085899078304695416938387039024",
                "240526965456892913512427695887435757205",
                "174652241339477923893073348812292020664",
                "56709778256486640581715351178656234699",
                "256077848153321864140946373491132055254",
                "218652108223861256748382205328625044612",
                "254447197942521098590720504501777064916",
                "141678668110203500142751639243444369291",
                "183889859549183600447821866903582513048",
                "316549359064978231018817366280933928470",
                "18147249587212795683203856016500027744",
                "79594627338975169486319311543216644387",
                "255351686154847276115673023473202641987",
                "203807563925656511454638861759308204411",
                "135848867739064642109801907954345125356",
                "337208897427853896190108859204410562436",
                "63319155546398951578390493152141082387",
                "46827852089551681166893910717535843535",
                "227461974909135160938822032654564913387",
                "271101934924244980601595017143838962916",
                "300399218547825102254186268323474005511",
                "186819790163638018810750037702028516970",
                "163107013234961183213733167306416496569",
                "144697223514081418213190945450222166048",
                "160624086292499223401652199580278019559",
                "56740044587151993205648226725841223390",
                "209570225037243708803783407822267602958",
                "38631753813206938295804641780086583340",
                "301370547616952773988448314403906389922",
                "188994989591151157852206855943711216074",
                "182762495105060455612693891534711194668",
                "164651413267198399377576842206006038135",
                "155948096411513212510356497747901217569",
                "109359895327750006205412504817767100897",
                "111680576541353742374407546271807476556",
                "325203944452043955613611146542492509438",
                "210306656561558205938053643409001634558",
                "70661707588892330019825061373498856523",
                "246774809764130976849117463455576482123",
                "624160101975858760691311637707505027",
                "293178027661738659741212723854377738087",
                "291767224869153438635318908852979549773",
                "161264721714845439389563052795624794613",
                "41273480439520208322861618772422425605",
                "320183037703443948513513042808615709372",
                "133605639389714228908041613023475920740",
                "329758281417696482176052035843811913921",
                "35725704288495709402591720640147594342",
                "119152069080633921746282392475357929774",
                "259476294255860237987120309020138121990",
                "95052895374115239031656885538148383812",
                "250710541792629929964675828180787747049",
                "310162341871768878619051460648022429661",
                "275812815573365684092024455326734060412",
                "88436644948346372823498504961737074748",
                "233197649639414574618387101334525665812",
                "21373399731256776543397664701553335260",
                "78580962868441267457117321984158960833",
                "170133926009426174867472959700947412370",
                "158714350579006157935055665190463214057",
                "296786166709252035089441114414789655942",
                "330643444113219223420295298767271436413",
                "44255162250404132505837595838277009972",
                "236832664403089000771698208634304596692",
                "216743390971551839326374848558235876505",
                "313888664046766880307828249205645291040",
                "333190994098428177794607474027892215563",
                "279571714879302106354991020566148852881",
                "238271460591634210532272535948098970428",
                "200039464670464836520885093696114333595",
                "143971108188210576445235496632082880627",
                "335491321476708949856358046859949231474",
                "339395848792665755740640923678333654322",
                "247734928920539545371074354923550627802",
                "67371025600469509181672079823979695736",
                "264604912968199535616104136569944746558",
                "50731907528100568897999845689532809995",
                "79575290735311897107262847074615064174",
                "255901810668637561710303837160750501873",
                "165509902951760043941618558519036082361",
                "64961373669156915429200904278335213907",
                "137527180913106867066506066465654787371",
                "136383817666338754150508339173383826499",
                "96943884881996285049591703131925949381",
                "11233003894355558143971810267315654972",
                "65976165737643245768359433465970771463",
                "78450040003780791805990556719076103290",
                "332306708042529660306091457497476142338",
                "13544252422484864423221001619292784370",
                "13422930502992034000964300736825521099",
                "154322850149348320560572159068763765331",
                "220246067868221002627157278442703330144",
                "278299394493800092588913509847219083899",
                "331710856447236766305675007861531931429",
                "203271786401107837746434469419923735815",
                "6484051453115171992288193293019252386",
                "50783331547107291485254737183123601888",
                "157981467967474037252356810401888441840",
                "217728682507598909846429806338327963654",
                "154596683857602754982938511308396931588",
                "99696890106539473179458333955584522534",
                "62823580760794057085660456051023054340",
                "248504856310277543663691166828231923434",
                "20645118441206471947316827764309216290",
                "66598181565552648589011673136216505836",
                "236767895566320805228524710764192501276",
                "196338002916482462377861087409803149939",
                "332049098955620305589178332423852294648",
                "226312110507503008707638201667790068963",
                "237145596242948951656887233117960803850",
                "85288455438559737994116902929176982612",
                "169017701843311310084208979202744236727",
                "80779663174616737614324514827785268012",
                "92777321066564222716705450231532229987",
                "180414425797881253535850631410764144497",
                "141784120729222093642165220628530250750",
                "234174953733156126006365070657027543332",
                "42300225816346397767117863513401074425",
                "12507208595208359336151061027827801817",
                "259085526744064556175271645107247481707",
                "182461040834131055444379062673172593323",
                "144946229678157239317453384831751463631",
                "324662583641344875180754590804391911556",
                "186649887293963090384752689630206576939",
                "208311011316857602373636870857898304534",
                "336208142719232269041057119351145258676",
                "322406415301435676604125344396655298770",
                "88938582104448533371344433080423214553",
                "178853487500648078701197684016003422661",
                "249813893367013290105411992848113437504",
                "30586372660545128982215940847952392620",
                "318491845389101746319730789355271778365",
                "332248518715020938426286425308270684626",
                "268130576418581366371720570299804360451",
                "260606104009550547549336883116152666807",
                "86403840882473606342035619202734429702",
                "234596876847522149534636031251832586229",
                "54619842531325103936928984161601787972",
                "3680901563826199603953040333884233426",
                "254059777876541285761864938821926640314",
                "264661553790264832143244984160629498508",
                "238875676391568438978374460362911925581",
                "157135898444543899306654177240331444986",
                "38836251599125757357388103480399745077",
                "212305964824618415449905704759569469482",
                "309252874699053420001732314910022596091",
                "184181435241250185719993867231574990958",
                "279076681804849700164634664360200883357",
                "32986145388108663316359797676478436152",
                "13426566574831214693798570684038721266",
                "303651394171137281668998168218966341786",
                "67794762479372282050749937867321814883",
                "288719144218752570769938350399444238655",
                "189955720246558971089493482775812228065",
                "212502017262633834247253887781484221080",
                "97232638823021306838782103691312162949",
                "7770619807501782648380921013822899909",
                "13663353665827551277550047435093044263",
                "75982844287887087778151003325279625591",
                "186879616547539049315818179227021569805",
                "50360560173624909036574212178229587961",
                "248008701172228560021307154840680615027",
                "185892121994686558621794113647975155661",
                "256838150758506896151799600110598633607",
                "237134089307952432158955128509106614232",
                "314556493048919141587156728163313961885",
                "325061880330765385549134619444768570324",
                "167788767116993011110409755336843938359",
                "39390426371861052053760936327457083708",
                "328245200599464028399686448761591910195",
                "268322666370167654414607704320804617783",
                "184426265417311568163859676057392645485",
                "225351739822659963121227873449152640855",
                "91972057086725845563327177407663637456",
                "46553014615080172351620225053980475346",
                "190588838077820280237738662898850844974",
                "974126668843179087264254399368491260",
                "306235559125042601020259821008889971907",
                "91171601622623903198967190666427612213",
                "299545408457346392955576589280405316861",
                "325919130399534741002241831964574056302",
                "114743456966324609865461604349746908115",
                "142403966603493896763689732540147760508",
                "73783245599482017034612299578707621534",
                "193027229625459419645568615101896179414",
                "109435520008149451561777877979328505349",
                "313545909819073872349138575475881259433",
                "137499878733026894256193560939723840535",
                "105059648972669100236652428531960277168",
                "123988776077045341265084033655875734087",
                "2914333340147152077914689044183060565",
                "17065903950723397189270001130371005384",
                "253877877121948473750746681266255751781",
                "24751128473889198203095646975810684597",
                "171038671674924646829231368295097308383",
                "10240287146246493974063755815278421390",
                "7368007254565739598893585016834092799",
                "153669735927421174992422647801269489187",
                "90679248003450765292355539100850889288",
                "147669862484009585511972356088633728902",
                "206421097929171699036950365245326406241",
                "156776028433249323589099233619491936971",
                "271513220692412004412269879447565277434",
                "331380904356893792224583658702460464455",
                "87310593575285944226906574156349911413",
                "95227287734490970394265128284342902041",
                "334711813296639956620391698358728672899",
                "144537321373068627910394143649462775927",
                "21442261788723510246857033222687910662",
                "292084545975902473354321666973721271601",
                "117517405477950251141299176706652235180",
                "131823040847901332533819409727830517219",
                "61351191122244903555581136490153425017",
                "146730747597265821137092354058172783599",
                "291631585351661995031674710203725024898",
                "28247796150502623334507404221536721653",
                "220033118736161801505454877950292949239",
                "39825906204550700683510373674307642748",
                "23415656976264850844327811819935126488",
                "183553121725171315260137980569595092933",
                "151911221288454038843398189333084356380",
                "130896090182740132116946356159249084800",
                "277245911954731667715279134753284556103",
                "203190976110118909620597817305227271562",
                "263303766148712100377059097848010395397",
                "114027287434991865147550312843134925937",
                "142318659651114508378436428231680708771",
                "195955707678183785237410914357015631103",
                "211044613232254115702352743453997905811",
                "22133411975888486609564411015823639138",
                "266263772071302246220355052616423542864",
                "121600999550203876860968915126118471220",
                "146476939014591483918813528464184096151",
                "107950386649494614131298078549065989650",
                "8108771199819309057510048140080600491",
                "303138156475695929621186820182857861454",
                "319160838974699903069501625429408015894",
                "271556787912122618127871697671973944280",
                "104623900095977133645532067601653428088",
                "62941357495391020336741880314732880471",
                "25984843393367515879269333587782824037",
                "167390254646681052368751826803021555076",
                "160980516380465485914538870691682262127",
                "293522088661498332210251418759900398290",
                "10500483166747647463361380635762931365",
                "155741781008914405349443874315695694198",
                "288392360101306491315134031391864137102",
                "53835778514406938891954538900720412169",
                "213313998515207755126090949788800219165",
                "324753070702845757956110635674285640619",
                "155502216877252163219024651688126304549",
                "240414877325799386429506211583873973449",
                "123174690035959439316192479606817175071",
                "141220365569262170332560026721754486938",
                "249090701914856706442683987586612743856",
                "326755351116631752051783677029331227545",
                "43745955078067813127281143852752040073",
                "20617274827793894089494195235825490176",
                "60015213516053729493762682489483985761",
                "60753355307833985070928791447497021315",
                "242285559900047899218039333802161194357",
                "264194083644873682079847710545353141272",
                "107826968963542902557675932474622368725",
                "231825463498976625624154324399242584197",
                "98637938626896400099649707740353197147",
                "306953533069269186511338371148403997266",
                "53825107182875215052554989834258985060",
                "156946294847824435872626050870983837722",
                "315934932302816020693094112407304603605",
                "192361153335489761973833283913026657587",
                "119382012420659205050301512786272261159",
                "78265722772413888077744905411913639131",
                "25618064602063190643431351532059720020",
                "10762182465129570467134584256263185552",
                "116049951022467763089315554863857429561",
                "68926375224414286946322889123332793299",
                "169630643297085515012486508640872616057",
                "82925983960591000203916492358952261727",
                "46760335925726601823305284183917763386",
                "14676207806252317225144440339482892473",
                "259414545817147097196600202697439744103",
                "116990356616035911707303138518935180315",
                "260830180535981351701099523291438544189",
                "328692348001720482086931108321138399235",
                "227766314104908321907548890024183202884",
                "184338248468495453924226930163738563052",
                "267286731470996003579540091738488582290",
                "336136109679072276719360840647469814645",
                "43418368967368190325663119826777139245",
                "262275083408225481843654730189514250",
                "241172438846415113635572847970714339189",
                "63865959558730142303358468533162174911",
                "23456225438061586325413013704198765030",
                "42934487803622499985073809182863236546",
                "70433210210930543779842093251490117777",
                "85593538993926949740493193363768143169",
                "328458609561009062591698003950463065110",
                "320467650308434707103543564897777447252",
                "5022084641665036590603263304212805906",
                "235446188304607126460140285916946560761",
                "29987850033581402188880137721947481072",
                "221805813986734213880707015498659962367",
                "83838092556118747026404734498838489065",
                "324224375167968661952812135576837877155",
                "193003327779571280824135208512219003522",
                "175086438284776405449079298560109812268",
                "35768376159847675887224583936795586175",
                "34283362241549188631893064976120421440",
                "218831492819862161508757649410598481593",
                "75104785384457534568366153900553017198",
                "262734282535592488703902279967637879401",
                "215487998906846748208305560194551501701",
                "112487213712076007257758781179196071370",
                "294269090582526389560248041445011923726",
                "304622775195029225464163352403820163603",
                "212691199848504165703254016525702019488",
                "74346767850704317873516495137427019614",
                "209725512556787896484454107965788765899",
                "150882878545676744608577417099402515715",
                "72099993180089246140549022237880907645",
                "315265662021501510384192239098672809873",
                "112900535301021308019315268312178665711",
                "11279858182333719019087578054993827334",
                "138824097918276421023919426864497000187",
                "184640183102337586136565231162759140484",
                "331727693787339910141750944586690127647",
                "160885461327892776287186765581968203177",
                "224239240628225280470457458431835811423",
                "247693053891302433047704224807648044168",
                "223119830149236766908934880224225704074",
                "293403205836501138294204228534213082017",
                "30738665519957566109107379436066991670",
                "157766100775845420456362622241362219456",
                "204054865227340198571873620788822258632",
                "142101538036437325964905366289258090773",
                "206112544056907031756463469280598469548",
                "283504766194724777705865222558880660165",
                "282440559120959395483371010662933000177",
                "156613406164091289570872043265307097957",
                "2920190583577378580742244886463709982",
                "283242784772985816085312908754484533509",
                "210285744067174235512856823316978239483",
                "79867492257259471727646922685962142630",
                "296712698279472713253668352444377282431",
                "198639461447158464209614418334440338214",
                "203767141461876720633530435313180814322",
                "20212093377912115391615084093007629809",
                "312530537231104429805695962779224805077",
                "263622399314654441752220034636867461766",
                "48884631445040440886091370853085175685",
                "320553241330157090506758447865168686133",
                "268931887134149081169792784166926473153",
                "162932955015426379747873564857194468212",
                "125994999066934208351408466947658415454",
                "311069796106475300756486806521645682850",
                "320223976616044460039630907451243848160",
                "103029888601645460679092426314175829694",
                "325537376589697722224723190982803447463",
                "169669791936781219099723947480394186822",
                "334334684501071013671988617196635740566",
                "186347282254996451813685235931195038741",
                "266743719941189084912692398109522648663",
                "273012694044308483426393698408078269934",
                "74776681288424679743417824053056025775",
                "305024947730415500583292689279505277224",
                "267511776628138414265138063254713611222",
                "327987587674648764301074235315665448705",
                "156198141513087953363871351148532338843",
                "99046051903434383371877564827614592152",
                "246872972881488283427392859892061412160",
                "48112882621296723505398618043881551704",
                "281284501854660662671321943431233901072",
                "55925115685847257775731749609107019268",
                "215414016078592797784126987997949233975",
                "8940435628037535769372364263110975581",
                "63308350849970365582734847467321389477",
                "91076219025859815347633335478458812462",
                "63782469963762350793046677852225443037",
                "326908310372127631990451563074778256972",
                "206329076576796186575381096807800829134",
                "271986088530940740461565845239212937306",
                "85847351699076676112012812220956503789",
                "24582742677789261713725061675278565228",
                "157845764842596905957949140816925509430",
                "296709717464310276820623683616154321346",
                "47609361550348273115406056109901052669",
                "223632763897487210976891714307681086786",
                "313771611066879506790762220975372099778",
                "91505959977410690738904680414330346988",
                "231871718689643519903014553385358306846",
                "131738469180586862348517365114882518955",
                "21659204692475367964309871360679796754",
                "47055679823617062890367211880535927725",
                "120768804821283772169762657831679935303",
                "174602429379739008792557929874268199825",
                "280969608415255701564037411265574105815",
                "309280040517672329887742342929958969905",
                "193362511990891285078530053636633353154",
                "153206972952969073988062243171313149083",
                "186718590289177631004238069754902444866",
                "234820399391302201076017987627692776771",
                "187315519380480690526850722968199688569",
                "267135042408601554579340191026261518705",
                "290747985996126551122537695742978346802",
                "164656202988550463479273912703041136155",
                "52157655093186468034407871160366560555",
                "278442001275354200842747708335768576788",
                "207774571514993133940588618714534565462",
                "189050502443238111722304952615980021510",
                "284147131185162349936802408677174968054",
                "322486172862895665433321204964310411313",
                "59581474954535256929901162750488055306",
                "115677984151320252043680853843405541531",
                "166587661272346084048625988227065964171",
                "195716757591210368300594776333447239805",
                "301307754806159548134681807575705728344",
                "15287062175212346223966518237260068098",
                "321315462525011640038940917160590951978",
                "19796060381161799932919732780215767454",
                "92142087665476661593010451741467287166",
                "771181501426888306414916657832209192",
                "116178453283937019076323151683502264126",
                "211148115251142312762513894069459468477",
                "78056257209060239959610380616699915390",
                "207845691551853008210092694428338694690",
                "91177591943876012389294424329744445592",
                "203755918188285588883813470677160406200",
                "105200856114296866541763027843203275638",
                "1176167987719971788015600874757297572",
                "62552768315006452088791425467374622075",
                "37037686376404599824432626090968253065",
                "24546327805790218427744147292898972217",
                "319114537608364815620774596652124139946",
                "289085981326027705210342904473821146493",
                "102635558724186689211635954171447189436",
                "6465715164845795052340568144625507339",
                "192521394159802997205988431428587547921",
                "101566034804952537596735938813789502246",
                "89645299350286044635762234000474290487",
                "46662206306248935049950148576049431718",
                "300910646079143313268044532774532599249",
                "60599143520562481617227460498641278478",
                "2349748076539653577311603093846674930",
                "281727810800561295649138961556857215727",
                "154905275868729022247067478370454033041",
                "323496090530992069223865671273591653152",
                "198450234942639543199508296660263945934",
                "218179017215102171305116790142946899566",
                "178383470804901173525536556747482248009",
                "177563070504000539754253660247323945788",
                "181168518894832140635314882425583808264",
                "2391426299879390400129196214537435948",
                "86946055649537377598048116184960290182",
                "114048800876718052341885897943323251174",
                "108018192346202101858225351828195859724",
                "289573664704242188816538059938969433561",
                "239710394103948429913113729569076941451",
                "31694923073031779270774575088857388456",
                "339072315627491586151885666343584915137",
                "284041012936414256734269379590233004906",
                "163108681643608029595407079800094665551",
                "247490828315389878115434635430085354426",
                "250851015413032693027032867271004687006",
                "289453509926276479255341174649678287253",
                "297288479020566279507742011286400408283",
                "97955188767448532950177088043457539394",
                "329980631704946151039552799584492790746",
                "103283680821530675108071726587091881161",
                "256593420015814801867281067054460532415",
                "131103671642810592508209392537951797234",
                "144788107195386060434618784347913259895",
                "249930075411632108253822587023034894709",
                "117846839899701217676462457913850240583",
                "317498624403338518968428506060071362857",
                "113373376841088097057756117802202774828",
                "255365131779750949802881964002558591418",
                "287631785515966058415253144736483289256",
                "44761930853842018453758307269808864004",
                "45024181503292580987160143279738002007",
                "226412419424713661874844018688164371238",
                "274460556172689439686919777354889303012",
                "285134350088072352560852024546258671749",
                "303667754014269368145887217648353027666",
                "130505929695147017044318893995862124700",
                "320377616318776528817599293865748110919",
                "335060646652697102905464572683217684161",
                "293150595435440316467271732726977540819",
                "245356041089106231357846598227139237187",
                "288647235500261521587710313791952923303",
                "321500659164084013506670022980395918032",
                "171188864027118566312488494238157506408",
                "169687111808527366540447182376601651354",
                "73764608732098051706323402741820968527",
                "293504112745185454556454266692503149621",
                "74111424718191224035030533018024228569",
                "177664654709834627966619707456760164499",
                "274188331709132044257488256892053416938",
                "51444898659872379455904501066230008374",
                "289189682772133477095718262986331919993",
                "110241061051227264838246649978583704917",
                "22525493386922838109740817200886711989",
                "207061020972698121006560568752969798754",
                "15112335869972160858072969945559395816",
                "196628236842824684803419703131035179437",
                "174786647841460808383755540947958393781",
                "182498988263693524223714990124228509878",
                "38340900792916016501591191090033918374",
                "43685352479701414522739762982124826832",
                "198900685517896912316453491274000859345",
                "338143083191238380653223894511313651907",
                "270462866747634290663266144976239053658",
                "170122684491907414492334111553299579894",
                "150750324716838335246629805362524730675",
                "227701167885289947279123472730450981907",
                "16152259818836562988058720051419368151",
                "37269574315016827866610246910832001913",
                "316247273933192068779934789686813713501",
                "184821478962644010724180060284212544428",
                "281714895401341270565246080860757355308",
                "187671769905486525053917820486383908985",
                "330454526895762871153278208148414744583",
                "272756542081684298517405970500741933822",
                "321418031373721710333280586290194498265",
                "248684782312738998988925307649101484273",
                "321973413191503140098961389213114795786",
                "220394811892595629243823900252146341133",
                "206231519658546462519812234630873703962",
                "132531597168191240522122854457598372949",
                "125152818576572514118186638266449734744",
                "142067101636666204603752516584807996311",
                "135401110322888551151556929958407902274",
                "187907393372170413692039648317309907389",
                "260645941931547597518629313597485702144",
                "105750137918339904500615333510582692089",
                "238061978504788967429574537017850173157",
                "225676448432474092806373764709722411685",
                "235875845391822293216092677691876264832",
                "303063965109675811577131535494656351531",
                "218256999870760728648978559869499229421",
                "75118745953431302692742195424590799955",
                "255409932234331370792653180645366004773",
                "275488758990484678496768313340766023713",
                "15527583170843924696703067811708992039",
                "326394032594593198372251040849158249604",
                "254678643267923052917465167605369884238",
                "112564586441327737310662167614559537271",
                "317337865111810447301031231652388815237",
                "170211176658124754869065937787206027472",
                "280247074541503415133993504302785365878",
                "136622605130752435474295531924106936089",
                "199145796564876814418902353589648742772",
                "58275845939090466970628296603799233169",
                "121673773883023397898839777678539751517",
                "57361856949278443099297612542753235319",
                "60602289311958872579536797612911229310",
                "277933426616000487322808141965795985540",
                "120854772042076432517572562757445530411",
                "49515190021488821876810848822961433666",
                "330186768116390738749188485660844675161",
                "11724521040474099596366492311127519907",
                "297472685519153659138731290272090131978",
                "68469458814859999778842494128298665941",
                "195317064888510622018507571198407944931",
                "273520379943268952383059253169067387081",
                "27375196461015617028442620081969320820",
                "224620110922022639360242864127571312464",
                "140040992055388097916524842408306325404",
                "285519026150733343395728009295138772363",
                "209783859250353541767099299323735839002",
                "204287654005565790550043480832730951064",
                "41611994702151025198743036060347273826",
                "148190305831104082412841079387154433828",
                "80099012089446773140494652550008842438",
                "314412296469797912371345155476895398498",
                "105658454096122703737113690842857757232",
                "309486139363420111152681798088623692360",
                "40933080630216116165123322778322674634",
                "53139836947293432470278305225393105550",
                "72668617407137255256941047465145566585",
                "330085069039779035798969588554578922546",
                "164271331019455641065493555993060703630",
                "96046132139254490844509958105318086017",
                "335398916291157545409470600834237662161",
                "244143286926445356378681001400711541482",
                "155744350148631484425974726928094772012",
                "24994341680161234702840385602151754800",
                "149512894808159426527746543944963826481",
                "286918182879899110554418604604461962789",
                "202474387167759669547378740527928274684",
                "283996484202652949035969097013234818652",
                "129652193026927038783172157710643636618",
                "56512577904454476032947305641083227007",
                "201606998703106778464634302632117224972",
                "212417521758228224321604637006732262588",
                "137329299442103692155691812795110633685",
                "33909851072781656788441178041007468916",
                "45712910181621271706863651548455681622",
                "191199670289447218418010337585541832508",
                "77484042256721272875627715536464749340",
                "107338734317350385616700232197861341641",
                "10142866076795051186730140730397240895",
                "214979206812368672653163562666438339836",
                "304764109583042918145781549134758001369",
                "205915693054312845175267951625125222847",
                "233087017200855324942488244417586069276",
                "180304748610453122941260374787962226519",
                "191862878501724043919041279482212790637",
                "136492274895997293957991082635150299139",
                "265354807939452212748948100655948858837",
                "35270075744316314368530800657065318720",
                "254765175004293219490831748225112424055",
                "65922596343217401033454164622657682152",
                "71853289634739252991491577626363926321",
                "264286358744583065707601152371800361123",
                "160001095826255157096335488924588397583",
                "44765544939111976359579788937314131393",
                "215133108578479481695159758986173579280",
                "176223456813645465066435941169604676056",
                "149599484335762515034593739888602997411",
                "163857773234718627536253046541504977973",
                "338554514606398380195037953446949392866",
                "187568127900790989217388954300378443262",
                "304057777669668064298068344157951518268",
                "233187137833573437864590796963564659956",
                "163687919536472695466878469070964722982",
                "303712987609374816530073497247848749330",
                "142385488681599792102818300721621086766",
                "201285708253626063046289885377719377730",
                "88042970518114362251390709090636611420",
                "146417469408370527000063731937837176811",
                "229869863901843506063240456497091272074",
                "228847691459258829092542778218700728564",
                "48232167598730638416950889233927315690",
                "116225899965720096776412622647718160684",
                "5499667688281645399950571553067232519",
                "246304071073989769396352940927614304698",
                "265706005040870667577033187739270633970",
                "47379098454087946293651204280317691893",
                "255199396338623543508500923777858838846",
                "645485455551942468672067865355051190",
                "54295831239598423365674496169867202939",
                "196513195902204239710037397709130671332",
                "280551523805268054893033424168684017211",
                "238661855169582642350354229574806211750",
                "201985279397808219897024327743945497759",
                "217172125207250103572914326984799403115",
                "274556201384966909418727748518414057514",
                "42252197859232955888466795128714888413",
                "81517225202106580742700299478941993343",
                "264425482192389055275771996921794063058",
                "212366870064178346630726169013399141706",
                "124742712140928240645351717692033121520",
                "118617995635978467575817120934852307402",
                "141007418456846406556299081749910495594",
                "320102082441886844029580996229397347961",
                "183022135350493845106401753270471695725",
                "57527217777896178761673473122233281338",
                "21074567550919126495746174525520813205",
                "265627658204776301875388590632463407123",
                "132090404686666303303992040335843675914",
                "64477989393097234897299743274232001087",
                "109757834202176775562352828877736918194",
                "265934569843540689295831090262681782182",
                "103067832664189597143645974374291473128",
                "30560609991275460388398390657787196257",
                "263784027290645251988445206447129292782",
                "259279558122273280979085022510395234148",
                "322822633729977269137379646978829522598",
                "145209372196142051403323887175580783472",
                "162165984156359418824776457140375651646",
                "63619252972967081105761568494671894516",
                "206318949093065215030429156918115993395",
                "339981123575706695872113392717411146839",
                "95602768996853746270500322614137857479",
                "51108217019786059929986297936768216435",
                "257536622751817543523295971315361456328",
                "2992412760668294741195687943264723077",
                "193999207019921585374169430705019247234",
                "143700423939930217003495174637519852794",
                "161874249070036881704474466767282902631",
                "48153635310907166386589643189484462206",
                "47176868975137457164845975302292074316",
                "202893488447793375327088057948584122511",
                "233244218048801461385177174506721818684",
                "322137727186993295678678709607230707536",
                "2816660239734196164551963467462251068",
                "212910174906120097492920784768444448124",
                "245608071101233597369799211984842148559",
                "157814461961674970210498032705188903965",
                "311370043043642966575900800005350315453",
                "293291795180052856157476448616147785628",
                "238737763167951974175023172890372047207",
                "74882306134888406295480020749183232561",
                "186580046538912224721158621428405119158",
                "227489776200457719066198179854861700734",
                "258680447798344818670493434501075064982",
                "191328513177555482736740922057541672965",
                "209017346625960602726162343062676527273",
                "99463508416758189444235550463420908755",
                "146224912155152773718834537466967058075",
                "293058950796393189214791380389292066335",
                "63959675535011939441176712909032428766",
                "297460010789748835415676085933144041462",
                "257841379969088074850312657973436973862",
                "127267101359337939923676332855451824577",
                "297937519995067066066333547713439521319",
                "200476897995021589164019806484623287168",
                "182655721449350019840101342505892549014",
                "9866885786066312370720659452507428425",
                "140710952424459037581697931878540108171",
                "7489696326247694094031597538509759900",
                "154697521404808767594395071098080422062",
                "6668378387313483199129010778521400142",
                "252855389850304073555112875638189122733",
                "267553751538695295010592621158466698060",
                "306839896424560717848758031705050799883",
                "83206205970374444714604518896655912422",
                "256980150120828857876005506378682712186",
                "24033149499506760612912297512911695537",
                "30453902412022165422113801034808891812",
                "12174363006827855604581936263396591791",
                "75782416220863056779418734809380381261",
                "20710472496167356874582808774828961881",
                "126640143964230921661328676746721384604",
                "276426933425958057510649444463611147724",
                "258310557993684454851620680687994032984",
                "234884525105972437592028142699826968580",
                "8661883501524842395298146347863442903",
                "99277650777373721422132360941224481341",
                "182301721041235886814721400297107780777",
                "121134044855202958358245179770251394894",
                "235589698618312388210502971055439813977",
                "177357836779118980049056130117651436202",
                "159979346491397026735407427554617259346",
                "252973473533129699432334977844143500348",
                "17583007775920113453818287048767819933",
                "286223844443671522680036526686651305405",
                "273342409654189815304518082833192998127",
                "26995385666402526610126558433606080686",
                "162313745989555046746902423435835325378",
                "37253421395709830219181825304455718915",
                "63577488588302324068882841847577372705",
                "201821001441824531799452752830665797344",
                "314712627893959744066583812327441230765",
                "172052287737469521997228600158763609579",
                "23365613261696488621137250963036087774",
                "135970727261481439123321056878374827404",
                "128251997186589598996484616432928553066",
                "328093507370663946952976148682104489002",
                "210567067256847102982931328914646373233",
                "160321766066682632928113022855286530296",
                "261272281981760065332717988402435851000",
                "154275371340790138972977828239647796469",
                "258928107302684664766700219376291115461",
                "123743574048954995743648464322676172413",
                "133926415804734418903748382002925676750",
                "112273115649884976777825256515111582901",
                "260804459791966777462192028142198260082",
                "118436990961385463780290281837464286048",
                "214194270036582184589292688606311754584",
                "50018055215875064779438501877501454756",
                "331547344736942465629084169400791017673",
                "180031978313246945222107865019952219507",
                "4556837076911991259166795224918671075",
                "41414325970669317200918714374028765029",
                "130218296238041171815731865733331816294",
                "75947660487995566538256891886496838380",
                "107474082186203987789068483452740572595",
                "182263573615780781872758881376991688615",
                "208762994796697965444901500256480551545",
                "275934995657031418894632829063270876097",
                "101857510121207782597636778084525288117",
                "330087150531881135400315492065633937290",
                "88060135164035255823909273114061356409",
                "269688453263926219222726555439341342246",
                "57437751593728519887081073607368076889",
                "142992587271957982481033835762727423371",
                "323075257228635534473612635137908487416",
                "151210021696495263637584059556837468970",
                "313307070253413729599503888669920695221",
                "139073290607218143948835474201310941863",
                "109611199219251647951021275130942834572",
                "35336597168088443290858075304368537823",
                "301050740604868231933116428399922242505",
                "47568204561473415209099129151533454502",
                "224136380384784228437982008095605749600",
                "208827924787251708549249610171459844339",
                "275088420627098450846484006240282245059",
                "71657075926233777029916475901217087697",
                "108779985049465452852897339298516560341",
                "41363783670073606355025963461435904551",
                "110169041168703485956707892103019280968",
                "197799366267973551533973328094269770971",
                "283549474574687031450404539098523153159",
                "44407868339413224679002546856574714504",
                "99504822379770448276441181925709603338",
                "205833622477639524525395411587346413074",
                "212582880575082780208222445804570082747",
                "3913322072692159729375040770072023610",
                "217962663802854026955555323032131394690",
                "79233707226553257603663781208338739536",
                "178219838621685520911509842059933944175",
                "84569432645092160618274975818516120471",
                "25401793226965048185102839968446787247",
                "326290648767024835202511011672284383998",
                "313268155388470254408771345496302553952",
                "3514467952470467933246519386553008436",
                "250055043243370164653837486584343174428",
                "338813109471607728574534247030207209477",
                "165478396169430782349098188285825235860",
                "153572493301705279445500424106971815969",
                "305992102416151209800434548382553550268",
                "11235739025165621262464782867441576930",
                "337031978640827930261023235618012243271",
                "302316743693784740419048564266243474329",
                "18998924533826168207606922499515815485",
                "280181222475039625920569882780479050151",
                "321723316727264601885785515055322519209",
                "72865036623158454333459056694322472860",
                "101672098347680340428227797877409852402",
                "4976863527348323861459371237938677365",
                "39410419618922254042804035774653286702",
                "273716504214454816470303488472841594119",
                "298869693393798766779963199393248567650",
                "143524685987603669720013150323540810696",
                "111815263260239638422515111308299511892",
                "158186849069637633192867605972336069971",
                "267542616510316748891943070800520084478",
                "5377118742780302473475792476973197396",
                "219151286836680583633105135435098492710",
                "15285415715478862274549839854458746238",
                "183655720624137059778008754706293122605",
                "129084260474162722146421342052964861766",
                "220608952118364432306113522508826958289",
                "251205888038984531595925489855552288525",
                "204939960355995172892111415260058656695",
                "39524215082341806724531153555499264185",
                "29806718630401865624638831196434933522",
                "198469096562027354334405371082377089814",
                "329998647720512907870116515857548296781",
                "230665786462720301971334646851097491759",
                "48544834481336160999743919962693431662",
                "72963859055128072755754028622957309163",
                "282809363465826604681739983596101353242",
                "230545754730533833561640524985153147646",
                "170134879839906895001281143698194545369",
                "167524486068054185254690799259763853582",
                "137525837475361912357448270368709577817",
                "315126745064585203309041589348721165087",
                "271763227958185152629122544943614844676",
                "134665466259999082587980245412284564351",
                "80276477600629795974703369162626027985",
                "132021823779170422116098477309721096262",
                "106385633344962019598547156947253521992",
                "202140968651407053310831321053048230071",
                "273459627769194009460964851154774862043",
                "304062432326429340562060010847117109347",
                "231064594737931922871390305764264907013",
                "56648812540001005635573363760685378106",
                "100499593728237314877272713137481049819",
                "44832425507009079218466585255419068783",
                "224782729299972434926376021634691727653",
                "39284837450197071649421221131618058755",
                "182421477946298740335811435423313553317",
                "12266014752211401823767571618379662083",
                "149496071768885097066007881464644784236",
                "123444741020964789372576560779709525447",
                "171970992686713428368194402277469423285",
                "7101721064745600828926688377338554973",
                "38849792610461278259424306519658612536",
                "68561881615062346884549846872048327726",
                "257044899472247521865657400054572734687",
                "199045521804143897573337922905428242721",
                "277010270641303663824198439540456534439",
                "65340129581996828260611191347415613916",
                "108968280731553614559403252868918673459",
                "52522823110695142677114907944601235240",
                "40333082138446986903791233869704109953",
                "288357949253506336612797053468907765379",
                "324226836017892914571845896322466652706",
                "265570270305144743373559788200925566644",
                "14776785516684432416979728181132399834",
                "3896864168858734573273543033138595540",
                "48339180207651671007303356787880571602",
                "250040109336925500076449369915291739358",
                "221384278707755135075981659162198184062",
                "309365755772534841719668316903555471373",
                "103699983063078864205071977608703575805",
                "229107677374618011001784247623804498534",
                "139498557504820919437730459478092494484",
                "283601886449849987678122293972978428409",
                "160176661293268159389726582286424377361",
                "222770284686194375702958947379242415413",
                "146545301963515541298881247005325715802",
                "33631182406277920683561857971489189684",
                "128450599478588107815746838350360106969",
                "117880928160795262152771978384388849672",
                "59402338900361614900409391501377065629",
                "276412349170143868878034222665034575093",
                "239345240045482783305362332096826015291",
                "289663053439105130393313943168104882055",
                "317935705183720382951405958466427028397",
                "328309673168547591654265531908109176265",
                "210535851180965567676547021076004031629",
                "113254060048989771347157437201069866349",
                "245326680387345355841336171581012665069",
                "119382695012245056418360573887940362265",
                "152438878223022810309522490610838855913",
                "166171351106062019044177060256895994070",
                "241584674375873134390656597882212718981",
                "249244731522675756267690206740134774806",
                "128900427737378974100901831847089629403",
                "171478648602266533913630317894178360385",
                "185962145748280842943910198315448477564",
                "204325112243038930494715362312362051652",
                "151133514689320688196820053018010062799",
                "154175570017152064718814243330595573892",
                "292814663894451562996268071273950210139",
                "58982074670170229860835962378078258624",
                "125778492421790019737668695553394540176",
                "7804072259431986691305178360900285301",
                "275480039324514849905893575666882393818",
                "17790643876558840448141167543556274118",
                "332310424273647577894056652785504370133",
                "133743001939210073450544523888589062029",
                "130815950549244612579075199466724612035",
                "113609046325671288379782093626083667521",
                "287614851318583595116954579671213313420",
                "127410159382967620555655030098384130037",
                "92985431928700393635258784013573555478",
                "43716158387584553818215774694003733476",
                "225162150488358448008467004755201460844",
                "208078448962357703430457069645559041655",
                "45378879515075509832659322291778474168",
                "267796819296106790877417623853403952261",
                "101989894984763691176655773483484998586",
                "113069051421798769328736714929350928518",
                "134590251661279899641221427890155381490",
                "29334534470596261130332857865790087281",
                "94785333274484925925783590520454309463",
                "243558348346066551043516960127570762790",
                "12552457344764005467607057600591295738",
                "248152843346557577683780419438122468002",
                "280984418298180171311233419602835827752",
                "200024578182607394502551803502695773125",
                "335301371168872963713046679192207718196",
                "205788525521407836525237206703313710987",
                "210122366413280881608169920865970158736",
                "327116178073962249112698556331372451597",
                "37986141321497973966524995817834092780",
                "275847682594224803331752098954719047897",
                "22729299174105344148047886685641135336",
                "288957689762359803987329330284074430380",
                "221874056354139467830636100348002270670",
                "43775864957831290253996290058262563179",
                "189145869843389519537082448194156129186",
                "169627623922622914754065367379272095679",
                "274863476703765482384676146914882795646",
                "266247131062010988509769016451657694414",
                "299341531183037523590445154547635548044",
                "289038946008901542316784193317214456713",
                "256123836569860151555031028048759008143",
                "172247200230089870034011602930680833215",
                "22653855730931498231464730689075392161",
                "112750971432415221113488823175383876476",
                "243150414091757166902142151921524930479",
                "257706392895392682397863029665430194788",
                "93945887774192572191678585362387429101",
                "100454130337731058553521359483730430492",
                "247539745366489948565402310808954857808",
                "189415905053180580587996769820677215012",
                "249388902239350812896161460621435362177",
                "298239347629421980161515039234903473497",
                "33771326098107377884238294838862648231",
                "93085078636473436136192986226215096589",
                "297616633057741431565756371617725907496",
                "233778630779701857012761135239004943056",
                "248271803925445269679485425560626843656",
                "62857160688918183922497517941026312614",
                "185193814531502059709010286264785072701",
                "114632494206956850447835718426768517202",
                "338203470793012314657775100256121812510",
                "41954416326228919653792386530175382882",
                "211050552544905378065676995500749356564",
                "140384127950410700206880977742803392352",
                "178977541858754452917040067165929054001",
                "148581395648354906941107908794287309560",
                "44524372268388457774630329699344968470",
                "190334479139139644820311361094222350810",
                "163818089877021325500570628785047056361",
                "209497835505997625445568315337063977130",
                "245873417497372909459342336566945303489",
                "141854878009900372380110928353974015112",
                "298399036764781787950750531674497893806",
                "244310080245036005154169577246262515508",
                "118015449888952789886686719927836820285",
                "284797092853770260674694888960921129892",
                "262546114893520710416592961140259333163",
                "230234565249577289081918807393377908841",
                "337163949865898569448787307595959233568",
                "243635500367292744724847695668289283987",
                "12785112834204839331992715096758811033",
                "218910487703811575998161360211000398085",
                "36047701755710363531452488390830694801",
                "314329267534037011416745328834754616913",
                "62209478645001114228984846230812702214",
                "158055095683246511438940182293352926992",
                "270522591053394992922924213052501628174",
                "153782117301029458345859172640049427350",
                "130132428245036630005420899727073823118",
                "82539865420166989410668911933194355034",
                "74325767560924946519807058964992396282",
                "234657338635478395813803890691398506565",
                "116709676595131009201340383037682785917",
                "220069652833417815744576423815017975963",
                "128576418306915515509793876483886728153",
                "73885164904011808464491999998314541175",
                "171184829939969223109055105971541506767",
                "271454538397598272642741100298587086592",
                "211965753143472211893040104595765412879",
                "311589218888040003432009314310010228726",
                "48953643603593619294140442664544383489",
                "290842902004131360872328335415103035277",
                "309298553484895715389926503324366790548",
                "239135493260403712639788652525356688604",
                "297502416874696503483166612050139781471",
                "208572514870429985092976387584959683935",
                "203805160101856782127026876762414960982",
                "95870294466558611764289466998448825886",
                "23164998333555459520892375445057769367",
                "251850876047845497195777839866856639430",
                "256960622290671748624382646665692961598",
                "293822348258059922559863001970589527165",
                "49058143804103048162589758908472493604",
                "316958364839887421890266936161697542498",
                "339937595109087798753536203071784203115",
                "295805543543706559287332822716951757575",
                "168059309898590810089405075404770283526",
                "183092795907751022306373200990383144846",
                "92333322546876356690167509002902031760",
                "207388678700727263644560048826522834230",
                "20656253134429380373173225000343385103",
                "168831488289756540361687267129157111929",
                "218251540377151801985754102352239997744",
                "206102992748262371009969678205159584333",
                "63029217018033407512956362569585686923",
                "158904683055884922702449070245630489239",
                "267258314012730301297563665566147398023",
                "141669805175975432126998172070647458078",
                "87056574471179195207961187248212316119",
                "115169626872391784603851076330657054513",
                "274530944982609789659094207042360405106",
                "32854416845748166990751171205544222026",
                "85775646947378679277840236790520003142",
                "51791929516626732017463723035413719714",
                "304054279145268848231775747571389448331",
                "109855575691193398448987724476829394376",
                "293359026242511198969473723465894011403",
                "17519793296735294362470807068064211877",
                "161285334151405895350801781547307851914",
                "205887499545248028047233708183185259807",
                "47837136099891160809408806193508417493",
                "228351557403465499686870194758038313992",
                "241539053956069384251970722341952285634",
                "280606444355868534748425931449933029826",
                "162224096502622529152675417335646126228",
                "4789982519122679971150877176017764856",
                "178066639385305286678942527772045092663",
                "311112882770331053926332936512674358754",
                "211974059639966936561227851804426681952",
                "122547635693463637789733610334465115838",
                "93669364803349276098440848582662384598",
                "75604266957343431927627962330405671558",
                "241054796036956971168636833433637166383",
                "96703028207801842921189326890854914773",
                "131935635368445164189869516815845767121",
                "12105550914135559366788346727497667028",
                "52421738306763053549478791704296435980",
                "181629866641302162037448376222565214339",
                "120461218782968332315134163209422465234",
                "32623490979374558644498990869082483359",
                "225671474393582849988105212252953764783",
                "188743113007252343784872938234038244370",
                "7271721419634075561633623312308664897",
                "317914199162498797255750915606603701670",
                "42679349287547031165545426248664411456",
                "330298160028847153041362719834602575985",
                "60540077925853022088089831127158454332",
                "10208212313414692994964081063481574321",
                "59964003545276821682344526319595134436",
                "337484510651888409006292994962073846922",
                "28431785060266400246014612359317804383",
                "242468836789004808963259091161400997638",
                "85110386291855552189846759084576220503",
                "303345007422029481022106391807100509453",
                "173370506750309486857199137315195324749",
                "98505534593956556624134033386517712639",
                "238795382728368326158663755770646326653",
                "325255990798827134262911166137218981290",
                "50343487805420449281051616595627516535",
                "258771896531083581592220514560589998794",
                "262161621478137053111969077779256400624",
                "149530124669358009757231433584384031422",
                "327890612081354604584651063249103953265",
                "156049515704795497386493158394962997230",
                "263204906860197069785911496082914475858",
                "7076207429252840517467174359229260219",
                "296166684867437884064408203148928290630",
                "278807704009767480866006638245486109158",
                "155946427622712043903104491838009915277",
                "258844473391016749606040174639468718217",
                "270661520277695710000573385289727300937",
                "60413023587168149925113677270877743533",
                "131391806716560518133583920592072809156",
                "95552154546257536466290851287546619311",
                "161949851958749403113824764548052155852",
                "742927084151285965449248560199659315",
                "331110049579564402441604192886646340155",
                "176278566434434462634952281328048130582",
                "118048365150879580338069122810169237342",
                "208598372315570803978852022587024801879",
                "168611520531951533841402658096470351215",
                "42655028975644429642259996174171746013",
                "313868747707036657398810098421850587220",
                "151767321031050601659561002000329592538",
                "130035090945738292429532313183940728391",
                "338342227371687391173508150973501046969",
                "198066428748655097626615440608840743979",
                "11420985266904806283692376381552571592",
                "30130434186224176452910458152171359745",
                "103470822330446457690066662727249707599",
                "132440599229370936901024495976318264871",
                "221515061092223718126459100832757794214",
                "188493080750544950784629705009506745557",
                "143418479111331251485374109910694023478",
                "25333995186316566094580202374905485944",
                "227242106496348555924619817466124675741",
                "278331351857682067192242908090931528428",
                "192553998721637359759210884398866452867",
                "38289619292746088880585372886575710171",
                "276297253005083249328797193561963226168",
                "223391075692774962810047061224997545428",
                "9375132795062460985623134233349689529",
                "31200335341337924120352427604199287725",
                "315983755972546351585698017152357570938",
                "173972556892714155483507969895305342628",
                "226410340474999309035274174134267388654",
                "331732568019233279435585185848493934828",
                "79071343489168979355144188885224632897",
                "132356121901224232030677380241044250225",
                "96999580948308949508375685666191793444",
                "155081153649799514310088509319386429526",
                "218830502023647429972664722127605585861",
                "77483624686396598700081571187075750316",
                "233490491866540444206953712970197854255",
                "227689869350169164542579529603789849187",
                "322834627625489521036170998305814359660",
                "154203121120310562852669292148800913792",
                "209332293502558982546478037014114243320",
                "198543818628984274305317771712093442596",
                "323829654135468207816460511194213757206",
                "168830632919450561257669585280382997586",
                "196497631256563613107647557862259687716",
                "42218422643236353283888284391231616998",
                "37264091733132828149790173370111453360",
                "96694389924121103967323128134622957822",
                "125054926417306068207503968826149710304",
                "155600062791516411774360543633624765998",
                "43523146412156782327735512732084925085",
                "130985322234794323507152598251785185114",
                "91093995793091457535941459278708170821",
                "323356649668138147489269672299277995673",
                "282461868813135905429808544038884157818",
                "17143637270434704548139739432847808981",
                "120109177507418188071853988033313851925",
                "112662148479790914307399586713511186972",
                "117858688326805996799031992923593499028",
                "221827853147562948495974922989243277094",
                "284275805022150271457674219881093236834",
                "35678834716308557463404158576057465392",
                "243375034432320418468924417735028028205",
                "336910579167796254599909279121088446006",
                "231692824822972738620109356461929294204",
                "323980556318354299673211968045062506181",
                "235019417233985918216275610399228695296",
                "137543324079523473705487376239706476792",
                "299840380209456204779396744959782659410",
                "240398251307256185242779604277917047626",
                "159393406667134551636941141307098792085",
                "90558388165310771151743627205317637955",
                "12593672700682918806786474079159100427",
                "56050648474412212733253434945825207302",
                "137032926407435662623278733675691150784",
                "87105722041079543582040695469518584071",
                "78472528716890030888657833841939617478",
                "228171628956564236799014896498435062650",
                "319601766608729160497165014297560302198",
                "227226348539376706448611493210542830463",
                "42787198386814442547886963058884391593",
                "210516801080714867534709871761146908503",
                "222355852276315413955129704244714904752",
                "264001312446077020564618511738694176556",
                "228379871276216932917541139637051998724",
                "108520773669845892825655149327731172619",
                "87732272681983532433157597305103159635",
                "213916549586931984834830901685176034505",
                "92113136869849278348114707420843728525",
                "302548202583136376893084981533524793891",
                "164122009440971829571348930379699247721",
                "212559273108061479644534637111545456319",
                "276214257590125457688238368242453831679",
                "332812663977405633743793427209066960282",
                "212526094077389833214571574130401613002",
                "284493094606094230964724472999211679642",
                "224024443797283683324996178975386282418",
                "43076544033297480227723329493405811641",
                "65131839432351001549408897826658097754",
                "217498502409707031109893335207694019933",
                "225559466478146081598728049323843478903",
                "258843915184955617032480730066144998213",
                "119347097300216590212990333495957436310",
                "296202421812752749575915157439479980947",
                "21426244013193870210009205699498974942",
                "185795158171905741709388571137359844878",
                "21467573585334840686770098677542147271",
                "297290640711458564551957529555159912242",
                "267705493110960168042568801983886367861",
                "339131302453365516931174554264795850751",
                "224511452654839021851924622932723642177",
                "94176984658568255322632946268955619807",
                "140714973156690081115114965448765765080",
                "249148207969161915705571405357599501472",
                "221662543437285521862812221808721201886",
                "53160685809847996665887848409150734298",
                "9260581660525262052908819676979473863",
                "162911362822200603973017316046579919095",
                "254127514258136518934352321167225498685",
                "173138433532559371604942922511079364215",
                "259472493044147350423958341681530870732",
                "292071938451017863801281042074830197328",
                "115154262022399984459453454927257224871",
                "331758856456928085668294375231223109350",
                "277621341042524628254026597633537520497",
                "297536816255366874533892498519933692425",
                "228199389238268922574615117355515346374",
                "98147734390328949092929514573458734552",
                "127397821365467748075098870451047265184",
                "79518008459345564183906803208090708066",
                "277010805981425719660716949595197881351",
                "212435607780554698860552779600077162869",
                "162796466029021742779322514288217589838",
                "52843390065755792607986253951990515109",
                "6741825238421247871183756708984329088",
                "35562639278074215785996646280427124143",
                "159078940727652877315340669985117348014",
                "91532467332633486398255064579597910744",
                "17334996617497465617543495418531682012",
                "245735561125293606366982037062129253511",
                "149491168009716749428861039446737130984",
                "287000771598892896936646079214612356107",
                "261648793271338945384125988870220093976",
                "151674459758386709736658357766209104890",
                "139986464712107858665778352829258100984",
                "305179374664987232981989876663918314226",
                "127787137336579646712673422871128274564",
                "210575106869080601222792351130505154008",
                "126389641700786637876504200818887265618",
                "137389401909592445411628104728954931123",
                "187523978397599993489310645718017519050",
                "96625462192808174788132585939208665980",
                "192980829739397217701911546838362870032",
                "73293553405836276860533136028258699593",
                "246733608785859609624528070319295289056",
                "239110281068605793894706901375086320321",
                "146541017344763237309049023560945230960",
                "14170927041309169214245543334624774568",
                "24848621575045168875353292712146557583",
                "232857712913003916362755050721142022068",
                "166684153039157401020091744970939140696",
                "216903299059870470824019127335965132426",
                "66160197894182175940494990179718279724",
                "90908830913525057449623643953149379402",
                "141967232358361818439481738848119345748",
                "66094276090181923495425833475937327572",
                "160033622627456692978193586365259419911",
                "328669779698772673414968216600357634595",
                "51585537208952594008606290700384837422",
                "213431237813245095298322886690891325482",
                "188132100474634184061850357907545529860",
                "197965540607978487708037016186256648541",
                "94491539554806960342929399408320212067",
                "285189083235572349768753406304361052000",
                "164020905652637929366900177318498228180",
                "187630102400980506736317388892516362273",
                "103252118637051751211788044317079748805",
                "313157844558895337691503979646735180839",
                "213448199178356464399599224519516867060",
                "226905410556475351214820134445015222030",
                "147863506598400303392156286908546006828",
                "59343319534254631562481788073362374542",
                "222575670806532286189233788553987454419",
                "205027186945482909463170407293155315549",
                "294654441209031592758688849264315752199",
                "244691954513693368804710603953808354806",
                "190767553222578933115177312213239655273",
                "125239250049153040704315919128202107542",
                "44433041552980143515766386010867397996",
                "225609532924548066395450709527859340371",
                "195275977512439227253044324572662897522",
                "269202249225285921264892262567941858533",
                "284286969803663040431587094367472299480",
                "305459575563125333601018117773398237871",
                "307064687491894499502913866334764078885",
                "297841418211438583832762376076159434098",
                "305994200846259574179383014470531635260",
                "304954276724252043355617716862329020461",
                "208895673944661843420993762664593658343",
                "231331755246832858128153918567900369946",
                "36756185284336994239506007224311731259",
                "65587720857343355057645921852018866291",
                "296129367409687230278092868454023812177",
                "212961377635776902197753039456344841616",
                "292338415311645441340556266148915949809",
                "254062250498383278640687115284824007920",
                "226089001154960609153602977499928404849",
                "188093367437998259105999252594533003434",
                "332271427385176681141307653561401943188",
                "92287910689375594884510987180977349464",
                "286695960759901506565383266260225206702",
                "268757173735905938304023542701262838345",
                "325870228563019975604237731467847613636",
                "97244351830415068255472277377552476811",
                "202446699446876296422917200820131178254",
                "286286858523066416246591941902982982416",
                "151793020622558170643061518239131910904",
                "298704844687316627732352194307320007088",
                "124404992391793145761885173351386236012",
                "306517634068382773043979142090389564465",
                "101974950282506276972896260708694880315",
                "62823495563554838445792332227589938274",
                "141886802928677636630055983358645815386",
                "213777815420013890306270263489731025693",
                "55602563949885493206782994659804045536",
                "250681643220286247980070048258105234976",
                "312180892535474520238961028522990656233",
                "149606949638418385008071286763840995501",
                "8574231528998683124424501032987006546",
                "219920485030715876845581978007045599198",
                "265667224740843129149839160980287227287",
                "247153394251466561237102626606837202340",
                "292941660193123257578183520494178724622",
                "46887744634747791784833317076683549918",
                "40176424392261566627025992961231519493",
                "171216071898245783178319206096580830490",
                "226307237179365563617757597093238969010",
                "269473692414672940951394509889535701747",
                "300970518440402420145400411229109607498",
                "195880388126978657335037379238762865212",
                "94130747136607039056772388071265478772",
                "154224145842811241692945122833824038843",
                "129987107193178405549989897229271815755",
                "244107591600706173159721961521842576361",
                "208512645360747514343807633294532088932",
                "65656071452572491214360603276428231471",
                "68856025871868127441575688968140246419",
                "161449571423951490624892300663368226360",
                "187402213459669664094606457554054589601",
                "211851449625508360712633588774115807373",
                "242221914670853511144258004907419880403",
                "245237994051661468965021846695038906486",
                "243075479228693657902507408528510353239",
                "313605478882992365900634619814515853574",
                "320992703230839104213685360374172972401",
                "319731325546858285782684696132992720192",
                "338453617864111254827260879945103969157",
                "293864200019494249484160523045484449827",
                "132339087148058443379407801067909516779",
                "302545634136500522272987040356732919947",
                "54208941066776069381578031135290186501",
                "79117364124590173653110154285777548877",
                "229491936373583750293580020368979453799",
                "227574935562451471284666117005406266387",
                "198593423225364044617642196945475830194",
                "304646361592824641193705271951942199919",
                "288350060878508552643158239154768230266",
                "168846553953184036323252230110329649099",
                "23629563183122959217862621155408687873",
                "326464233567213486759178667998644020735",
                "257568803715355989545011425967748500158",
                "206263052726226230715705022419589224591",
                "171188054653932363683127040283819121060",
                "222502673101599443988727910636239359054",
                "156658949620896360545120053907847872914",
                "238198442235893900596148198371717141770",
                "188164596470814396837512679806629049098",
                "170589104855039676110496613501395812051",
                "256998490875478322554343085213693555607",
                "338733851703373835914846501624642301635",
                "258478429649046532286532794887208301378",
                "137273639962129975710889351649852920440",
                "184961866107282633702413923153361354739",
                "250547306324387648732232931591027990487",
                "321852270129779345734740454892252717124",
                "242488932928327202668709314127615745372",
                "76173264316356457385118309479365217762",
                "110538915701448794536777436219734860891",
                "243357264392767606641763896464762350641",
                "313267217945966298289680352747861560073",
                "97392742565743895660891502494941913592",
                "83899354219557696465312050253420102913",
                "337011750430740279538040721299212919302",
                "54449049535339089209847228596159650749",
                "335972651930609702110507679850463584103",
                "162173472710631261194320997078614565390",
                "53099723927926918389320318746786989212",
                "205193453126340979221201219716377416597",
                "128366151672231459516234028927310567883",
                "32244863806216893948371147912617723006",
                "140035898715367687881151615255816664982",
                "316653554305386883812709857457192459130",
                "327622650107387478602791534381142261932",
                "194506313738991553565138517508658800605",
                "155779446746357570548072797193198340158",
                "302549478625180566355553696203522394813",
                "74368413973002807679687289384150742666",
                "261591183341281059058896563569914156889",
                "28913725343654248886877951172005642171",
                "336507824703139450962993755311829603179",
                "93409925255701828303927564706428300357",
                "13578314453474798510603426920972640471",
                "274087947456765162620468138758436259797",
                "214497964228215807770416235012955597115",
                "59226960266730670715288578407831208852",
                "16088267657075829172064088907632711052",
                "55079128532966630407941608194075047900",
                "53223205888283111036238228571108568271",
                "226956118873827930565050748061468666789",
                "219369697560051510909710958583512664949",
                "54440212356551408654786295742619170087",
                "155446353242194700465447258122311230016",
                "110955463005855700584442912800919976710",
                "131746261968705286758276990350883044816",
                "251817046870187876861856922610681527194",
                "242281544649982239388900365705522558988",
                "136289605464284737871098236615201373397",
                "84276788583091825201642002593360986908",
                "234111758284621292681238998560900379016",
                "275826327270941454438196534382860200701",
                "181043629754746689260576670910782576271",
                "69484163613715041916579294984344120710",
                "142973298849710772371824174472013892872",
                "65699493976774684063209266910136865653",
                "223962314055061453949479987404827639153",
                "250092984424309805644948819737846972390",
                "60575013175712657566609278218633006920",
                "92873385173303654277547615392316114767",
                "156032205623972593570406872209291357497",
                "306446773366565728903980076185582526287",
                "177354461257917628659470210496905001976",
                "52517351313688106214772576972398911443",
                "313871451670132615390759644942356554880",
                "246060295934817045771359259074202049485",
                "103719348581069791922562275401218519360",
                "322614000656170228013641680073985537135",
                "225608936931690166523518284593733602662",
                "243796928306270116158011636986942395239",
                "190410728196335594860184848313824209050",
                "117409766329484743587608165766005705615",
                "238737387834338054550837153987549547849",
                "180744079598271429136936678135260524139",
                "130304348144365378601428752553478284140",
                "216168546138085820952582232345850242344",
                "63639406998935080332577117172808839689",
                "319188824670282145199024628548958918656",
                "199552602299357637428569113799924977665",
                "49205515551032778016009294549179271300",
                "210256480849033450733457427713098980564",
                "86244759095893326555321591797158322100",
                "283131049343657290282929286985007327927",
                "108028140078021356393042485573079873333",
                "170374508872368970882238821920852218747",
                "188185995581303991102346657970728660077",
                "328840193957392501574050222475887945429",
                "157253037736062192162066665241301278877",
                "289653160193478407550178296564107593065",
                "210421050898263147292625030010379708237",
                "112741458695609942694658258678143577881",
                "153233538581199721101528945122803585830",
                "245746230540546056524005673350175572164",
                "337253344772928423462845609444093668240",
                "329480060025317585697635438850144519608",
                "223576419556904818460751608095200803054",
                "180943870139807409698885271342685059222",
                "7703236155780676779899090840299268365",
                "335345301788450642631604285976804275350",
                "249696432089410737413577960664164847519",
                "98575681951974370104796002770505192516",
                "30430793964171629993001070645955098810",
                "267932586767949474447027853689894880568",
                "173772644111233110223541130088759651154",
                "100088967847529009495603113286108958441",
                "152783849161974731197905473603039881473",
                "63011588069785833759952168630848626004",
                "182183783272301117883658824615242973408",
                "68114613807815949449221552509117888109",
                "32219448949630644217141354143801740342",
                "198961887546181164766972721138962617873",
                "123814057004847390937818110454244262954",
                "14871435414751352670054407499596064201",
                "6699510920816796493512187279242973082",
                "64927174275638102986137752007148660955",
                "104392561997273795328934570224777202698",
                "311473440791243944371922705032248465072",
                "7572249011448390558803062884722275510",
                "339032004702092733429793997098276133578",
                "249063365622594666534207864512097127473",
                "323678091020389420209765480628841326390",
                "75096509147808775803767268026053283117",
                "38899671525740645248810746998997942009",
                "25406563977263276553354061165835961488",
                "135435800074051366287510715329891500911",
                "119780267684863264058340939968820136472",
                "300463239197834062160256516641648854916",
                "235161760860213769188111286160134048017",
                "302996326242135575447063951756885737261",
                "257519181453800176296728123812735054190",
                "221252990753133804731562781716276380837",
                "160570736146740795643183678362361476021",
                "88640385694343672452349956454128985177",
                "296501754957450664974689064012469583825",
                "1752869474802281841645061575156177028",
                "2131917794424394993513546061319508492",
                "81679003726995861954424335304432621442",
                "215689273302715327799870565974970664028",
                "103713372225781559591382508904399632943",
                "162310236944828872286639335309946096225",
                "271890649508104911241153396383246416513",
                "7835203369867112293619633067426040551",
                "122472202430684640868774037981067602620",
                "307666782266071423520867523516213397558",
                "59290496632796987632456352448732966358",
                "119830445832489089773236493949878065292",
                "238663656297768496297096158155236622138",
                "304560865263993118110162713025862735854",
                "193970270517182610021623341578528820779",
                "151035012315869848487946624941388685549",
                "273770876023862098296127565390717652735",
                "157979381557852682455360183939521892263",
                "308337356428412344501002181628900072668",
                "232556949849806692700754631641026827755",
                "268449928622112710172535433833619459729",
                "24175435426865382589934623499383520982",
                "93592728751879978450697191438946241151",
                "177206608113016264989320242695182294451",
                "73562057488918860218863491776103949133",
                "259773544327694800913372885107850956605",
                "169683289619206949358472126717233270214",
                "88580039514569123589158601580019319612",
                "277603986812776249858799753506594423690",
                "323491555437875582260736137506174752488",
                "185592457640675527799368031104056930552",
                "334730492739482395302110896292603846647",
                "203749235057389069560421446723412352731",
                "114939760036522822700710625361303867195",
                "114105421831239490741395309616927359530",
                "320607532948646884475246226387968913258",
                "155635635652033833048655953359815401698",
                "182340959957091768451418428971699132951",
                "238704050499995277619713410185452135406",
                "2548072918520254325065631679195524104",
                "129951306075274688835203783845958804345",
                "8539282858189369962705861844989966185",
                "119299515538466592825136263098508058531",
                "149205791502828498547591268561409237161",
                "214125100239979802430138243726359510630",
                "125564455013616953048887655082851105585",
                "256619478148530561412790769843836885840",
                "56502968315366873741898460810623477812",
                "290622297488408254930073421934082994906",
                "207580810277017428035949331060931479812",
                "184369888563021179506733116495233593120",
                "158111094320307109420313717417089467760",
                "327133719542647991493355189449668619423",
                "135315255944025765597228981635903384628",
                "245868515581502498767717303588219766999",
                "78220342909180282042203293923957060227",
                "202490257200868239540793250661075537914",
                "76593000477353165141106847822840138471",
                "336547368446724450769672968348472673116",
                "320598263068162872210543683108708141155",
                "52894431022123202032045379795701399051",
                "332142151837360523887068942737529255904",
                "188867240834945435482585808462932679955",
                "127592094903440188479357432038264037671",
                "246113450442966536007373095496334270884",
                "2243564969712065465004631658899359944",
                "93307743373451105112526528224616263223",
                "143924421164232060635344577597991503877",
                "161369486873471601509884371882015503289",
                "235737012157432745787911130828034354402",
                "76507085642556046743846030219051357912",
                "230596227312656659338852272374454244452",
                "82354523368456778522378228373835393664",
                "265760274034455361546689351011370687700",
                "251531240013865619244600740672413235058",
                "86078018802099616349272070216817320516",
                "62625646440260278608782572501101850073",
                "304936687026074007999162226239043760477",
                "119589400147374717751255351839422059216",
                "184430491757704999341096995782258571467",
                "235997246070459494302590521653529133738",
                "108300112071440651483218721971654067883",
                "90170836824183756271914138342980808269",
                "176767767188939597654210604192959013127",
                "313997810326110455544293309087774969607",
                "208375034190641538782118109640987015959",
                "32710158541603141642278977329513687046",
                "203123004305761745622241009715826417269",
                "1072588992230267535514799086420834815",
                "145814648617931320479299897212490457287",
                "175107708591492004422708224976474688076",
                "143583745625268488881856438280754485159",
                "224685831031880072061843251835762474061",
                "288556754112827454689402919934874616198",
                "262585802668156105915838568919127326727",
                "58445898503933553376490165317139749963",
                "322307776379732151131363283503105182261",
                "61998559762826149236177332384352534623",
                "85166280683417182801299732648394343611",
                "65939819293769972192050516429446296896",
                "334488210230315160903170554348827468606",
                "114694107077087270984778369231811784818",
                "91027342853451657540270003408256811160",
                "177127899594042425346995742170706541715",
                "28455984296847762583710797324170076200",
                "111940886630068123646886523414518063710",
                "223655164025251392897597204103482815993",
                "157758714994673655040210782593240559692",
                "229520138414211619473536573324842399813",
                "128641790040107991683242242406627517497",
                "71153511346069905791992402338346303239",
                "29264682742371383245071481424291095611",
                "172733297173290679019320720915581549513",
                "61410497756696392974070595815980622041",
                "284788964451665469496884893169681459638",
                "103606673064771584380045750423436233754",
                "172135858788813227930967680247687798720",
                "204709671853294142446567603173302407639",
                "296684774261579037964998842297968077088",
                "295753327678643263348451419106803723896",
                "155122450172998614383617352660446305265",
                "181405202549698507030353876143285808210",
                "335499663738966888121788168087709368526",
                "326754243862449923100092795888745533025",
                "150428333123388477054761815786154612073",
                "288991297544634590449677748434812844113",
                "335307650241689879213341155215073766309",
                "233557591587912759836646462246418510495",
                "284484128616736818983443387396795736642",
                "177077774232369818699807307001296438138",
                "325715045516719137843797005461895140946",
                "64203610398615679450199370629294019889",
                "138914773478588599729259109379268054396",
                "220222579572148313661859268193580166270",
                "119656158374264254301767242769370112589",
                "89434143382205819353983742054093553060",
                "63512610991918130879465153867791844313",
                "181916156558098439519709356080800275813",
                "202520963764269813590412340002479593853",
                "232601920335257810537897021157383025095",
                "156302663019285391753841252408605237639",
                "96025194247188324777262675840806884792",
                "261015402060990955160301809331678130132",
                "108081790223608475897662561195895430736",
                "222115232103968625338671518422994603982",
                "119786486269100587142821445229296273825",
                "183376960593824901209938261822215369426",
                "245061294863467539853729274281661712526",
                "277187443725078248027257286748135563123",
                "264209734247745652856545321811323549191",
                "211297036551957716585159200328970607032",
                "315728196711826149379227242452028197184",
                "160679347060965097122325757037538657383",
                "325133623487855542806195056354437295309",
                "55074085194243892300792977019101580942",
                "153912177859067467453636502084958752732",
                "53623393716727308328908474795767316315",
                "191818739047068768928609970940555367938",
                "211512333007474228526594444300700129634",
                "98222710256804895567222160008630709370",
                "304064723869788004079653124658740278051",
                "292925752227233011472857260296239589225",
                "200022558263753372780360052401629785202",
                "11850275656758761560800721623693303157",
                "130480165821401525201404922772648364299",
                "194162978463191715488715214885925821853",
                "39336719386201014782050665481381842736",
                "330716877657091562951101610422793624285",
                "336653607856860188925450244647272698580",
                "267417142611738015352593456851573222444",
                "231145283655938373295372395380056288603",
                "190508038275807892438099421323409568945",
                "282495526748517301150619801942094277709",
                "293560868197347497384299305422829567518",
                "305602779457073597146707890795293022382",
                "42873685840410951215292896110512683190",
                "22391256001704022236567050155781820934",
                "102702507820176669365540140251799409850",
                "229965101398604866094297406505782271367",
                "32065472279137656248705462928141900416",
                "201843915897749212961588549799474807241",
                "101857489110239739379070428298047817349",
                "183732767579075230311999645551536059751",
                "218379181551808653287123442725359038591",
                "213426942211843991447290967094541535246",
                "286573741544870390810387394908088585311",
                "105130582860255719939293487761225001865",
                "248370662411738601175737503880874571349",
                "90779314389479835354719990527741117407",
                "205297088081006812647650062824587746437",
                "237503503517384634808549136567256454326",
                "174912121876968135295752015461053089222",
                "215861580191216366269226393295366837898",
                "113297646881571313047219327072913281779",
                "183580645303912755924988492275816075545",
                "313554644650161145464967710473611237701",
                "325255052763008546918300363009664492104",
                "116413129218096182707964100238364496267",
                "118760184305703362928857188389418089523",
                "32981431067717833875082695375618349851",
                "85268369193956848835963825002239665915",
                "330163940959694495783922642022711051533",
                "153321616844382925213690313304693726125",
                "273570478900038999553963021127337538931",
                "64753614002951790809789551069817645023",
                "90610297613860908309864989059525944559",
                "156994443673308746507422381480539062371",
                "307857473692248180419554818451488968715",
                "170595549292900258026231550469979011535",
                "77559024536602744747061363341931365016",
                "33972755260433184283363813034091775883",
                "109998250505549673400263427708778583491",
                "228110012140933484513526154477489749612",
                "305571974424989890751897918419852101592",
                "65033281056121426807668161747156390191",
                "240602372025303516072666407670136058502",
                "280488363399846831888586338414817228326",
                "135947991240928049796646349999666520044",
                "227168969052059308012628732277744330887",
                "149408540004862372200189611025181744384",
                "189453198948035102753854878340604728609",
                "113058877888429735845713874084647212675",
                "245683250341276406973338472044124271517",
                "272817085763061275264855361012055196961",
                "230411062602982470376510099699869614823",
                "281491696055680445280569572257650674246",
                "119073444329190605272662562739656706701",
                "194103129902547757976351926869458979401",
                "166742320775866584041676848877979768178",
                "38229470140672846405571596770215151455",
                "96652444571583678769191085361351269186",
                "185838527991202617527162463688178505068",
                "128006939285286668738210749105171891371",
                "27502119706996428569495650906347446264",
                "121853746043152229514435786633526411274",
                "339804715240517930912094232985188855016",
                "233553246475207594661894404622006356824",
                "140531018689655095669659024074387954299",
                "167128265388232287566757236560586576360",
                "16986145886022121474759200890888646141",
                "113247812085127263763523463941203731325",
                "103279140197081314803173319925081545721",
                "234947881262718052850601313609195192017",
                "244192739131373479104055633509850933657",
                "9009444322139642275595416409311266382",
                "203553719310817683298539400857615535063",
                "73266535457179882605545355782509702281",
                "297399743790972314306203778822379107849",
                "8436667228901965734283799575116287196",
                "43576447028107312638967834672304576644",
                "208024448677139903665053296259546085525",
                "314333234457220781221069101872867025437",
                "36275354290017089573281282572450850466",
                "112584936719636911246372384267649116382",
                "222304179684209113407942813692291671204",
                "181730801129214255055471775392760663405",
                "43366300677951512999679097511358735246",
                "193558258759832804295611741315704993268",
                "45073970178132120593796196030924290867",
                "247621017922690890300298730416203287537",
                "11419018482779638875774778997641769550",
                "123271151729111422325254070026830299216",
                "139448005390326290488405710859909150445",
                "64715392189650634656806661032602961752",
                "85101567061667720927483503295171392116",
                "204959759637179820832378347061629668643",
                "6896980240241025549731130185648454211",
                "104057402832814183248592000002132081380",
                "196992103127972154373228056157108690639",
                "159542935221074048094986925579332740656",
                "68819433818781643751217990985656545895",
                "171398748137269555856044314929324598730",
                "131059464174531027456117853814878210592",
                "236171877131192861309521207153747387595",
                "210257408666987707755979018664398749337",
                "335218950285798803306490728473155185346",
                "263707676808598670037676639946551101143",
                "52395292085010117814156895160336232952",
                "297028333837883463065924568674526698694",
                "212176071510127439418163515542274550215",
                "105084010836866185645014690332882584984",
                "190675415190913330353860361937328133315",
                "38924875984145560690504161360100075249",
                "125523836190167706914461700671981989446",
                "19911071984696722226870948948955494754",
                "81924715935413406074580168671912911320",
                "254026801952286595875780184622750951059",
                "64166530866277578553377818578168244470",
                "159157832110824610801358790343661887855",
                "257990548268982486295190359142222551866",
                "31175610742011728093056880664191699851",
                "267629098998954559983498002924497900329",
                "263498771100623816276387459296649943191",
                "197078772744987518671411271292836081655",
                "125121086875287356029013582823539363865",
                "183747517767746992891479254728111448929",
                "211752913076903052947357386999928691050",
                "10617456916187987520465247683749205812",
                "137566140867053621578053072211454182032",
                "58314382038195827608183859939112937788",
                "63609203901120150415157831150737999463",
                "96208994735129319135819314960602823607",
                "213140969515823653030374965937474759982",
                "18944622813838762938784760602804601935",
                "143388415177205545782610764951651881597",
                "128207051342853982792980085389522247957",
                "265583793356124083614148006883442657435",
                "146686938258651579951518244756971118077",
                "192592724086877820654402768023030613499",
                "340190564545955985155069777935314130909",
                "36243776526315070273168420070185740867",
                "299794104795348441483741595147265436609",
                "165593826939411939606907806997925481128",
                "92156383752323438097487378064121634588",
                "25182058629897108188042614966825868701",
                "13280092129451359007337841578753592020",
                "76508799595992723421238010804761162390",
                "64619927974993373693563294544714824123",
                "290801124243782940814689028844695499819",
                "70235434547701303051894996038881250189",
                "293676014011375479806169210711617104202",
                "193073867072799831960696587406971069984",
                "160175763271320336665973093930222234943",
                "74812618359828896500695284626835619053",
                "279791425940778069977510284750074629731",
                "128588178775601213021777529727053952188",
                "37276054052474930635794021379173852418",
                "19767231590688499975921513588850110351",
                "122090688425975981116166812629255216482",
                "282623988961545738788722371553382445295",
                "188700082306319418442582283616588458447",
                "207196739563612550534209079196316192884",
                "111659191262601868248993672973643620993",
                "9407111379412057699251015236380899075",
                "95655453364354483898228570925979283000",
                "329565919246656416794966963620927500585",
                "72269134677362417414028708500180347655",
                "163193536333457793949444866882823332317",
                "192254294186698985029506307581779875493",
                "272370050379839558622101042688185208204",
                "330702215972432707752306046756903192809",
                "129717721975974112701232501937828015803",
                "76107017540376689227780155911590477803",
                "274464362699769579169755097500946587241",
                "69360931700541332125846339557688069821",
                "176518422569098371302243334239912302366",
                "78949319054566471572138983603931661779",
                "133387350671191090453182386363929275946",
                "188477994731540126080520247645446828405",
                "36183164577853159975478888791857421908",
                "82232054162410926477567898695708714890",
                "16956498734010078859920705134960547126",
                "192817285485684783700464843042905308485",
                "328078302124513084504559708748098463835",
                "304790319862570395392257719590211212944",
                "48735635663289141518097897958477228063",
                "245484180577149062509588625519368827924",
                "136813713499217294418500225402670444333",
                "227917239025627670016023259955105736207",
                "115342965828166007557252102806101082196",
                "243232781731963553751756894867143823317",
                "139528544995232885410185932493218369402",
                "134778748903844454985795869774830375069",
                "6452665387760740404753632898328715079",
                "895996104882178870647950616844325263",
                "119465777715958600618625344492682423593",
                "15798438042703591316231945376387904320",
                "231471901149496627512533378115043589698",
                "19750028063136556573973307824763148715",
                "95710293531647810589048771191943650328",
                "143931096490225991042819623040299591040",
                "229198775881737156872534032127553767828",
                "155825838025280947320095314434094336360",
                "277380133663575396596503653374762378380",
                "107310277613785201202949986656261317659",
                "237282237648423659204740126009413184684",
                "12952354939244958108933058810973360201",
                "153967254087547273481886202722913215821",
                "317504755824530022962379131550045627639",
                "167036807991510789452781540768058592693",
                "36671643409366376851359047146061651589",
                "266068557758770954342167445499430450910",
                "70164593582679173020749985360221342832",
                "99017740805557937525191384508147374259",
                "149085080691007262505170361957075741549",
                "216383562550560589136533621266591625274",
                "326518655192437573095766968783358160357",
                "193764520919844750828531662956540306159",
                "189257805380645088520300592257217788792",
                "81851360870562311402614282606195294542",
                "54059673334980221353617368177986777837",
                "248714178751405581131177264122981876073",
                "81854561786296014300032456228633435051",
                "186112051054298574568978161626772810867",
                "169559468869234129884703989431136482150",
                "228039959462567847598115642459072333653",
                "161508379609081217535534216882279495624",
                "161815719941037628952962374953590779032",
                "276109329902262326028847218115580859204",
                "23369018198020049225890788080491086713",
                "310472335581667265571447670495552828933",
                "312835690714121192521237280844315552794",
                "202837161953362200604863777013206716354",
                "317054649245169542138080222097064712728",
                "39989186952915442604671053338267197058",
                "93610086134859272341484830144454452752",
                "314368973929353022151590968449980705597",
                "214445489578126503200854124918699833170",
                "23497638645559686724893975024757512242",
                "58652772196217669220901116736397751660",
                "213278552372087911329451455573457136129",
                "236947452669258053028859252228986329058",
                "274009846384047091284399056750220750159",
                "293993034241914358277623398655800000766",
                "239133679887582054225912414806371622155",
                "147241167905349062028539369421336027165",
                "191657682243658109032474962516697922664",
                "10822238287278016972834576949876850294",
                "150021948204251681230543478383994315973",
                "120999309683030080098838610715242760537",
                "93472991807299735633269779626815243176",
                "91933653602120068958630560045314948685",
                "193902431294445173748469433554425344962",
                "159647202940710984002542926263111595372",
                "108592739697719374890756495800715926915",
                "202377325408409185167967478097726394138",
                "120760353585941191441052159916511764191",
                "63024093918263370974114974340546153665",
                "308863998893752987811615326894218206350",
                "285847393596571678682725799823746586294",
                "272273633699558075916236650574286167539",
                "172131971046236067909206944920208335830",
                "191403558335155623436724565919040538551",
                "103573093660366390246279390327751466923",
                "324454581804221089063530670390074161918",
                "19845502084513892503234323385815726216",
                "310985612942582222652886500819575274830",
                "87831100329800129248308734899676175663",
                "132900122139918589459441723577360660133",
                "164857183381072864790504843593678345374",
                "92948039540704988385387790937919863536",
                "26013521592040744377223563468270239234",
                "207302271577466732202609479633612857021",
                "262293791363636728328266926786732041676",
                "241196486319502891225898531301307013887",
                "330216211097110651423489248397764898778",
                "179963711708385476533415507433732154813",
                "134781122380326847938647238853492103226",
                "339312192951081334049730623603675009024",
                "74138656330651545231153064677954068416",
                "320882952801610595509411015879697083029",
                "82544332438649067621415853752894773800",
                "2914771353453717955563370403640257482",
                "168617483274717247619738980686055171780",
                "305083748458155497548698406593596300850",
                "253405662993657529583418954544372507237",
                "330731470669919378665017151127237891297",
                "153442547535359853532071210115320950911",
                "299934432386155380545178049429970023887",
                "91231320468396156603049447344500857448",
                "286486180011615992685829926870333629886",
                "224649358662840852632655524856212955536",
                "311810933219934348717469587348022836162",
                "328804720810339243652072794391731648321",
                "339799657826770373648961067634399851738",
                "11167359430634285577474229248670009412",
                "331180800711598844960708623965281478506",
                "208547612124845867922224235124513992840",
                "275730072251118052032901412102162606095",
                "149672361060401307654782263548903878925",
                "294117343693888616837018431123250951557",
                "297783581738733498543608195484390105303",
                "284021086390395225300261350576479273062",
                "271592398088902625307723145133976301908",
                "106193359225002330077340336019398928731",
                "115120413730747387117484565125302465195",
                "99585958856946455831554035665039528236",
                "138398603656554127894879283691649189668",
                "221321219403689111758168210310405094477",
                "285885192461307832177043677489381960558",
                "206172828183668656954334558156595917771",
                "66122962860945040544073506413070325410",
                "320649499740119823329160167555605237503",
                "9017449200984693569612784897392867991",
                "142095037817219806130025995111472722561",
                "140007702479144466306099466680570958922",
                "302902394747953105112285374906861317316",
                "327297340338966046129795196059585272524",
                "142122125266404706762576740476498208412",
                "48963954974772783531565284321756620865",
                "263442591554368324453092426774414093532",
                "297698285457365085349997029758025686001",
                "64692145159043108023003375266638981317",
                "23736387042208420687770349405537638263",
                "302896786889260380552925580626996169243",
                "150825771763873252195173873617612975160",
                "75035154541424642939547819210355719781",
                "143527327621043935242207763111704470789",
                "329608920285358047470732910121792942735",
                "272823688699902945454905162029534519931",
                "37016348757932062716970780891358553030",
                "207924356525241757219568472752626605470",
                "329877426817602018790487383260390380114",
                "68558326344631282302357980052142211375",
                "97682140724491636719827430260130220099",
                "301607866313552049578476282860883467305",
                "212403799867505069977196215334148324738",
                "57381978324180835651789363679711761501",
                "206563067357465724410648523167700701862",
                "74213134157680797122512695592794026633",
                "310185861756183341027555147304973596352",
                "203893562463991907676309157909360867551",
                "322946156623704116104467987281268242707",
                "273312091046518052446273883769977711754",
                "40331425743969878680322857272130973886",
                "165323398452991074612968009554505200679",
                "44551573276536227485812285229686745282",
                "242419954729476821721033615562211237217",
                "76460448517934603262799616987522629631",
                "187857500689518872304527252236669341078",
                "251017172961642735995546572529808280165",
                "109568026258884092519290578930743079378",
                "270214908142351255225427097783820587273",
                "2143633382210231513470919687561778299",
                "62931999424379014183626421428419367363",
                "62193995279128357288562032852182426026",
                "50655526766710443957664564334680505704",
                "305557294050145400345016879237701824456",
                "166565829637660141957039172391628390594",
                "219885955223994879819656076409619923259",
                "69082586255684547540309871247749247881",
                "85200296743405120295420591551179537148",
                "27580622013318675046202143939664980962",
                "169680387818036644139911354157639825907",
                "55160641502418770457640985100918793888",
                "219127900969832030822316684958081604625",
                "119883095203419963850539339599154831799",
                "156297876963572368549687553220981795050",
                "82813517260703745558327407557886204616",
                "157870009530817695267735699901743307610",
                "37887239501333066210180797645288944297",
                "322259057410532212455339211226074325379",
                "139836830368628030297490841082256631330",
                "312325660140803166008485527001415170660",
                "274614688535152690742109777552909255703",
                "230125380504656352072076949156487930841",
                "143315621636025259933979939241965335071",
                "262635691915411132752946217039973797001",
                "250049399603896997426598017735857188440",
                "241188377892868873833268964188994920074",
                "288084634826291956182487384977652853888",
                "98500785299506398052514112500934139418",
                "106057014075195789574067795450260394535",
                "237463990180092576637673964259642436193",
                "184858453378774788375720179067296077146",
                "286424664302052303310812552411503771758",
                "73992598169464498269731318129592021168",
                "290339041423449871041285316955582674897",
                "123284412738127039193180846147840707008",
                "291977956419340584486386193561227982207",
                "230526143488669640155797725667876609073",
                "78354577508755557250706144579062848304",
                "80147604568388455755835994878340796746",
                "65595209287734992126917426513023207994",
                "328976101354723856344916759983525018003",
                "204466500036275906462805646131662799402",
                "258247494559799866581621077159264201411",
                "105474560838489659298285312296578092402",
                "211516301904287738099786310716777400257",
                "87068509144001714165029635538582563234",
                "246536073383241340352063598883147671654",
                "268924945621011510124135186030711270403",
                "334131813923286264071886636984866702568",
                "159282521570919216808939818328505824559",
                "80320052587385915530652202641269082844",
                "136810428114209170151528879885869269483",
                "125261011526475761594745427948603275003",
                "293673819286652643952590286118476070760",
                "259646009983443606150507453395549262969",
                "320327079855999742815352014623320901210",
                "150096211810112788047545422134560032696",
                "60930739400221589999558273167218076339",
                "35163951928909639625924851314934017867",
                "102367173626859866391082631771181811009",
                "52673777700161743091790626044926103398",
                "256768046073999296156653789527721487314",
                "241783414624722493202035392858408749948",
                "43555052500360173241426239047295043030",
                "300677560344432984988176001364520130791",
                "148664036464906510085908610452408982290",
                "149386793105034934342192260088164886134",
                "85928183224285622521281121319291117700",
                "104921262237877465683081852617602761477",
                "277331346055304644068403172139873613484",
                "102385920400788765334691466045647744122",
                "199920817368579849914873464998541987432",
                "125463953310601301799140940745918945598",
                "25839024204647337957283098220886218776",
                "201777484230597879038034107909239981435",
                "23010609996822170761472987893270118942",
                "168126346159051287398392647854478935996",
                "452786992651445384896502673703532636",
                "54116796534469982264619259193548182015",
                "190719946337059219089935296574237669163",
                "78312872070080578251006584479108929631",
                "304643903580939540206517013836054732736",
                "311740162466009303520845310800714588648",
                "127329874040939757512016146869090568538",
                "168548308998929940599362708388452489922",
                "104750040101622752679214816552138943929",
                "10377955897438162850786101418899577879",
                "305368889527684235660019723218746140902",
                "24668412045036082589735816983293878965",
                "35612716074437294645812396777968228324",
                "3052370622600635419906688835145088232",
                "338081423045165365905454104465286831657",
                "300341127969455569465578436033632720971",
                "248867867370106332218339545862245468919",
                "157584472914598324214666823688643240271",
                "35858889139048853729294373768504133953",
                "113413108802285017693735124102180590709",
                "22370419470419461397373821768135535214",
                "219691854404419665812818268020936450476",
                "31706279000267685859596002505480749424",
                "126987918887881729520280102124075278781",
                "22112005643404469239782317542191162674",
                "124703675650630323661989368223290180142",
                "211470171821860010835473487358495957340",
                "133352588592565136589209954690432458549",
                "210519596326539941070004933157992903419",
                "273505698842288164674274255713071130247",
                "23754795147972752988148338592865405455",
                "218592235725587438458738667087098751333",
                "53969525257252325868487724700585463818",
                "171823389527488022617313052112377298255",
                "300641577761896094441063462357451113287",
                "171740536864640330642211742494058293228",
                "296596949975958583274565212549421517402",
                "83677130722874282512654769094072907610",
                "68916345202603488039147779293819877693",
                "156227744246880873911968054427665515473",
                "141198648898360209519714337943117711585",
                "35490100588071531031972695582972393925",
                "176857981212685177057449863330887719607",
                "91983989564584454833794682836796739919",
                "37432929361154934958857714037602723589",
                "153346673975801574668182012234142546230",
                "144647819694302612092559735236856917202",
                "24662561606107126071931890844464083077",
                "130959065727173172426663458929877732922",
                "325745259652256622952529792581455330274",
                "266418010946570901562546563459055657263",
                "139962482352181789321846595787490116386",
                "64579348034078198657297341255579468287",
                "328821121680382468417158240670265442840",
                "65275666973144907741387763988253526932",
                "287408664909126458514551283369863309354",
                "62356299984447235122489244037823924391",
                "78383569648744526756133737200899643469",
                "271362886148162603198074468638985244669",
                "129258569747502052321386427639965312196",
                "234063648173016263907556564485891581023",
                "203528697234421644030006546419500362674",
                "32489978504298339960977982087910048850",
                "115769171289097624210744580154135794619",
                "106625218493449478167830764050298647379",
                "106619693980112812325860385269554209506",
                "223985838770906538484611559587731343778",
                "73676131061749341886344388883659263745",
                "248022227440183675851268628641393944674",
                "324827635016609889503625259193243332775",
                "177320441776587661695950713525532449947",
                "236259629419852799321813839028831275291",
                "95011160485481531011908421371115731897",
                "16953365751615924944635058717399851859",
                "275807857710568775877667541840428921805",
                "245281316615705326396766511361757798622",
                "200382737648500452685105930456365841830",
                "171344768142936117881711548653840175907",
                "216345202886699668096989332867532020314",
                "222787891759306039735853358243482213825",
                "163216613151351733711930612415839410150",
                "253376536248884264985029668693781714987",
                "102474638430675329254623759407558108693",
                "216291665381940986798519660514328401617",
                "183706385224436675439506915756482445969",
                "238117596221933142310040893289821768012",
                "303419841634381525919605090613198386711",
                "297757422883559679873967345275135724557",
                "302922817739310581091324142105012191232",
                "221480747309941090925939047867867052432",
                "38678560402265856573675389005763143998",
                "217105663362236454816029608687345518838",
                "108435260858054864239027548931764376568",
                "134245108149340035986661997727051634903",
                "9824259800154272258893595437490795192",
                "300692655844714706802265474565983094613",
                "112116231148061686568600839425748404",
                "104024178557568573502548301648707265348",
                "132887960495818863430777419232177426375",
                "143710634123726294905951182859748675366",
                "112244531030850969024921391187355118990",
                "245644303535534714773795341785523693727",
                "153892948581517556863850732102520183397",
                "308412840128168608819076470073693804215",
                "57504822363239888414963540345989249926",
                "293727258120830159218034987233721754035",
                "336061352786102386168730485762040908910",
                "57979349371037047032985314507150103117",
                "214994986473194503668405862905276012579",
                "94069330173106371040366924711244794113",
                "250935460000983191328502298980241010302",
                "316429234029297983918166451000556672448",
                "61370105768372930964932420751835914838",
                "195238638522425919435884211480553252510",
                "246542658979556267491524313455430064356",
                "140025345877464962555734492253791188686",
                "48902451251895918309108553282460339335",
                "289018312070597700235981870869983912925",
                "326293244774859258287503760547798704034",
                "309520847406389187405348486327574242082",
                "41810774320623649812306924452823423311",
                "280603369757497801418477824462874297302",
                "152472003225092087361011694611806103699",
                "18597609444500940664429959714289550790",
                "71090297263123697585594499770431982041",
                "293288172778013845676014114580887068801",
                "36183300153706021567698530827366479694",
                "234603380080029977030174227477265708463",
                "55235005959201445219986668641989798823",
                "170669658478113311862637093522847326589",
                "281989948154231009733546714531808814551",
                "122922490221561545149724644264317594376",
                "276553816768268635733266630846554583999",
                "67290923411500161459682436849116588483",
                "132634209334452370964904960151593567328",
                "188410923074309149730681432639268859487",
                "325700273787610794531201616511473856170",
                "170402968065031671152122202844292537991",
                "42977602210710862775854525236170602412",
                "159159890760222887185358974441133748270",
                "163560349844869782656553453967883647522",
                "181992640320138251842441657484399159729",
                "315422677495271215986431242089874414406",
                "142913862723330725351967894672424792153",
                "228154397954814006375289957229180031600",
                "323057772393002120527854053116373451775",
                "336338868377172517378263430463173272313",
                "53227095751553271249014306319843946580",
                "201104859058810668027522745829221831539",
                "74982221670053509645424417272215340454",
                "315888994729241923030469183332199539261",
                "276060954442335054078156660571014920550",
                "275213853633120175788210645767781605628",
                "293224270995998674102048007903046320664",
                "297609450943529500412626753215221221647",
                "17423711396602365767556121686402239109",
                "120714504422426515133458414929675665389",
                "332221454021890444567932325142625830516",
                "315753182544751616868703306245164985060",
                "249686653294678379534619733299770061889",
                "169659934771426183014311295965160812520",
                "62567692505391688010783005016763405207",
                "74204608770398373544557138534801771935",
                "176668809588639751460591483408358658140",
                "259975319066461481219433405032957882409",
                "171865518124219865497170403160338406341",
                "153776831692002646228860287945645994012",
                "310733361994360342876149797924317514457",
                "297603309086670505267438473629342920593",
                "195963009432347396657083879649418194715",
                "164421886272971034228040387793716618575",
                "56903218959229165918920257253129603784",
                "38079382840172029737058806290557223320",
                "317725514615203624262640342208281534522",
                "234851642115127312851057740596039246464",
                "340193804139354553363307520395974659944",
                "133753586631363121595812623723847218757",
                "157336781021900992271606236111852149112",
                "71199795751165802252038615652268953299",
                "206367151456893431505865493038362210179",
                "60145349737083281794431207294108022874",
                "336394557825544493839731112485570934601",
                "173775268714209023396296876135796964115",
                "84202723003136196733934637702341081631",
                "258569028614286613631131815385569489723",
                "243044546637724983120651024058536524048",
                "336746626552507053624119999005225989261",
                "289736847386267576430468532191981744414",
                "13444217439821508881038028300816135097",
                "90723805017896800563689489305962851883",
                "66238921091249671376022825376702303836",
                "288007623848920225513714499851720969406",
                "66636499622348412394229140662758333280",
                "301628547287659321128191540242088064008",
                "220211650535989011649132804511684730398",
                "121447188782092893092825666249808197143",
                "122915784357107295215693002164711827287",
                "92023291921017697807334911428641984652",
                "27856899868233931867430271740938146283",
                "1037014374386656069866975976650417330",
                "106786173745438181460077578270291230045",
                "966236750438011974401640863731932626",
                "279940796543448657059967283873481065164",
                "32009158994103694368244366380280579349",
                "24926570011240879004146875150182216180",
                "130524172919006560185438059776212674619",
                "270079447451952635356224318465632598130",
                "119935315053333293655296189879968608957",
                "285038298978327143473449311779183325531",
                "286793115423623794662500203568452885114",
                "128025773817075967568179591219418002152",
                "268644402957474867821699091327659422453",
                "189562718221602803928350881961932746432",
                "307164847052845213060454994047742494147",
                "285997331481300289315146305097689823507",
                "75295794698301603089951178821447808529",
                "120691116689334316349846756216177679693",
                "180935358036976253668002057177389304521",
                "205105277477307127928927149019898608400",
                "22408368782290396506048205030771640705",
                "336933216530666906531587900404587537531",
                "135327435375840097158599512829345473322",
                "271380962501029615956469819115282234254",
                "237774351640048325591536988979268572469",
                "268419023286867174453753853741487632050",
                "166485510755565535707867941568149238924",
                "329483049442305946517987808902346864462",
                "286850830006405730876435025407960645548",
                "195452208817519800953922689653051858495",
                "12816271317662074126220666311476636761",
                "14131490463452482986550142323849076806",
                "150500176300341169600895406740290300864",
                "54288002758167073359591842946067228077",
                "120436450724133987142788057259368951001",
                "304469632564447706416597869572682562521",
                "314474596046103121770874655216937886591",
                "192280698592797431822185469473130856392",
                "233255509925442471741109742080337729133",
                "112598368194200019022417419895893431031",
                "272370657856076144799601508451421684157",
                "11466750430048074673485628268125696882",
                "37947342137635743849790171340034884934",
                "55297448456042623189735729819829656499",
                "131112960098619599870877155738171100981",
                "49371631597246014660417634528905979610",
                "234556114699243506430331459067793347854",
                "299689124992103821857783103300993848722",
                "169642446894481206211275328953486470260",
                "220311321584200627752634856490082390981",
                "163765540919077375611088431542682613036",
                "32536136122291260648082228412242728724",
                "302375991955605204322862979627934244159",
                "126058288803905508475507272935834575939",
                "14422313669514909056991488358769132257",
                "331453986033342274773953694428862848292",
                "192661103961742633497958179111412858249",
                "6209010414283929054402648341401454046",
                "237133903846192430046193562528673062361",
                "90267933034481869674101030348766673569",
                "55885747924828996708749443262849132892",
                "24478194661398786214127702995855808781",
                "258218107023449702532924936271931115960",
                "41392753207552874622810249076956193105",
                "336562224819060216655221165452199237364",
                "274496168145924580640855842670751794474",
                "191589674002087477277123514165733375958",
                "52628317046337700719632325682307937124",
                "107959815094778400552587632430439179965",
                "16833873624200840535829854001992589621",
                "276892547596888663978822344816132988207",
                "282905425057046770141174840046656237858",
                "174687215602930067166171701781854124589",
                "272360047716702641292265139287062544430",
                "140131025249119736146427522387405733550",
                "33831843721817744277445758741853149727",
                "163680463115149766067072964058593326061",
                "173136075489924115733328416436196871679",
                "178371757179162014895552611475427161820",
                "147321446751214894657013235522912500236",
                "51992855517083023171699563090976933494",
                "105967588000221114691866443642322642208",
                "101612521541680979591802246994211395480",
                "202618661560858100252265698019846641167",
                "261002639268156669366582667725966214047",
                "155725903504504245333672994856382319248",
                "104527939551314445109544617694586382837",
                "117473902811991424345404927603412848510",
                "67711762665367432425868958666127977549",
                "258110705438290907151558673156412912271",
                "284451503600479926940770822306710179784",
                "285716583096024116079929361719501799075",
                "133125356020068769024632741804660017958",
                "66185115981326180800005210061545528584",
                "188766089149745621965739508890366126530",
                "289042152501581124640943993835394513636",
                "225700328226451867580729355348068703963",
                "253676311305754811271216271172245417500",
                "266843728864676761351380699584374688333",
                "57917283514981613605912445376822645432",
                "113501225404015894816580903405282165679",
                "137834454682337395746127710609963013172",
                "301514047757470612591915397312436903187",
                "33585637058187002990955536697316093478",
                "217398146313877298177275425127036279255",
                "266900009880122456637447053964123007866",
                "209945056013086523425226043539846264213",
                "283411793502184657231803143338859160836",
                "215801334424350442091249460802759017978",
                "24940373898167192745531667430580065470",
                "225456780268014561692882547977544054812",
                "296536572662957396048301702102940779211",
                "54480815915700728618406117037717454354",
                "208063359096749587301873955509850445130",
                "144820283229354670052439688575946790185",
                "203503018687659566940963792211457004994",
                "127553952645820985561512665663172504204",
                "50542595765408884410558148903444120834",
                "256937130672275747166415439564880602619",
                "35859426552243735490736924390698899900",
                "233718111156563051586279679509887639478",
                "124274964711015536245489998159335385614",
                "312630341620941653250987843330610488287",
                "325148061879945641635997430231383414823",
                "274565768673618113675029373972385488154",
                "142302345736604906613614541742485614295",
                "246847691443399807366415115296477677925",
                "191752070383726971492881977194429846585",
                "304133927869036688454118562613205635048",
                "239630319390634073377298252715951964891",
                "146273886765190392689915281672377231196",
                "48826680816514891402570544742400712365",
                "141111938456284895136280879883621209436",
                "254423098542043413361901923252383118102",
                "254859190844442697980837828493409577391",
                "41709390371988772388849072179086914060",
                "137655938366853207323232046124013367890",
                "294529923979552276153788645947907638049",
                "284387988918428294234451420864098968523",
                "103492429336222033691768136060575897516",
                "315582252757276891488715881019281357591",
                "93227294628049586066693285549580546149",
                "162511013953595551722115067891153641399",
                "54561953490040886694762780301376006063",
                "276982321581000728116759860649924167175",
                "280597788454456068852789986035341211348",
                "231323801611889247423199096084273184745",
                "170697980037475701279360160743161240146",
                "58272145336115166333427576416173936283",
                "209217192167680306830753550660518515614",
                "144222359718099765632244011628124458889",
                "33364048429742895844716044285164325189",
                "325987335206611505294679240319272681189",
                "302413180785546632818237489060569258122",
                "277286614508179572786272526843592875584",
                "7165880714599095262937593932679575286",
                "296607119447398321461301699204956142359",
                "44766654687835154983964433521157652406",
                "103399113481410592551602817464443720952",
                "307311423296103047566843470594062272214",
                "152429708801143648301519719000985213664",
                "332184484863146244766634284902843342598",
                "135696161080821005830762785923971789392",
                "232495099749066300292743804841159718778",
                "287572443950727191405749958364172253694",
                "237701170096920163845511362144868107243",
                "128315981278446597603705706036970899097",
                "97751005340100429581639788284303842578",
                "207070677844214046846395801172789734548",
                "153166278355203316541798338309273455368",
                "116614571278465922901932382311891467653",
                "182266090655377387652754350215118196376",
                "20245489462065701662810402462325508934",
                "292208252279230127690744147497138373468",
                "238370034723997166398637170904710689473",
                "215120118299163866225498131711252262656",
                "25157357823187238327633300565828538080",
                "224503549150712435932439270919095682044",
                "36436232465121928383875978377455381937",
                "40927736948704201905120502925032996967",
                "116297750296225045565335741377122345095",
                "134629954485083394771399095066666580771",
                "147020858579541859483913952586717096934",
                "242083235888445939796283191580871903371",
                "233135506334147438681048558731020162924",
                "236846249028022341054134624295980613121",
                "284126170686035145357652567673412505911",
                "111965310035074603880428021640996294373",
                "61244961818454183213151346085594840634",
                "96012369486260078255241847798902003742",
                "135770474094361401753370613358779669641",
                "51950323846482080847722485220173015872",
                "112321098930192075447921361564548535729",
                "226953413085842127542882444743770176343",
                "134835619094778169925291193410311279926",
                "50933414177377901297233444332559369185",
                "162420143811886940338681447353019570931",
                "323498604647215334253269770681404052856",
                "337068251123079426127543244179594706885",
                "278526477382490015637370733619767613787",
                "81827881089583381196277552565292154110",
                "43265349071127396746614321803668405301",
                "336238778501715172313072796247184092589",
                "281260281014504657764062715751431495103",
                "214556506845475633281230339404078272004",
                "2498844043779307118806324829450651023",
                "81821875090494085996514172275344136161",
                "128711438924029820568033050898489815596",
                "232329013873741460983234773043212538776",
                "94764448356451093441107188847854042152",
                "271830958339927240058030802642380102808",
                "193064969174790756837547220406557100613",
                "299760868701379288414520384821665767559",
                "3953545899094050228926543026766581144",
                "243277408604758407354063789211312985221",
                "79896790987162804242951019382830136144",
                "65605033962985042543980467085539810446",
                "300467973167019170590749625697718408594",
                "292099330671921657690649899696602831198",
                "121672482316128332558412713917224813848",
                "222509837097844649541351266544389671746",
                "70182893651194264321649423212054189446",
                "80588400609848755738378234530787050902",
                "296873285543345562205979472225028516544",
                "17686549240970707756030937387456333828",
                "13150516082573719049631010857528147298",
                "308332961464535872651497830485735700732",
                "264653823159317249091532511389888263016",
                "179071460932619128261952776149157672745",
                "323461762302980720955429210673709549115",
                "163269409851109545858859954617074665947",
                "29890682864679983480528594343118369842",
                "49070849694577008925324823726874229108",
                "106017406755900538216184144376065529201",
                "18897531582403267742012838361033789153",
                "97148587561865664836586711092501179094",
                "253575238374206568578146097899599735408",
                "263943905420833785790461873893029926431",
                "22943367099205936183206841302546564297",
                "207739360947275986011101684462417573696",
                "78303025132910068438115211140522985771",
                "188406797303448266136736430160037742209",
                "332588620323088962523860730863992132867",
                "163359742572092445220511131677146029190",
                "245845223799551214105100543354957011731",
                "17299162340536523854277538427139733614",
                "212463574657949960812196861814620548804",
                "129103793584691705374729787100614131079",
                "226268044363198779792117911339105760121",
                "59287551815911054229186016431582481700",
                "57469475583217761707254771300596875320",
                "124486812600899726044820892145140140771",
                "28941297024480842584277906024999358920",
                "281959523704662892087284521611423466886",
                "8896837026876768627232745299360371253",
                "154894381447591186484405113797732915047",
                "255700188033967258861917785539717297016",
                "251855795296738980690093554562868733389",
                "106718079730728186977228824632180631294",
                "34691612618909757438817753432893343130",
                "67722970372997348841489001906843398479",
                "315818414340330055598367642616237895958",
                "304784857291061199540457504571755298922",
                "182475572120642944766583766015356011569",
                "12854784482784863763840494160975704272",
                "96028920983284865476255042374115532837",
                "265546900690468131986841737232269164200",
                "209267546145337870442255010953030512206",
                "102561480070380328370681587357812017772",
                "268163566872678125464239921662326914735",
                "54262453582877803868329326240848013511",
                "175520295817257432045428631723532807132",
                "36837941770891561012316100906566622945",
                "261720501850786697180050796549747947648",
                "75718992181565525182346284220197084983",
                "157140658588434292988257653450248802932",
                "209413019563398782029029969438813647502",
                "270730029391726303983033126081171456625",
                "26006384126253840388767462949896738553",
                "156128024011989214401184039113695484924",
                "98296452018604661582984916833750005300",
                "195733712772620169885520190227017118455",
                "103824840652399519874227727267033042330",
                "311753996744228608651617967514218279544",
                "144649202038037992045602062165781201767",
                "117669068081839019789301374010249848965",
                "304690924323796370303073186154445910467",
                "184244253868489501209307465177131303241",
                "143353815272824811960148664008961939446",
                "302739364270902353734291396706585061598",
                "240449307637485257268967221138769328408",
                "283453829743093039582900113418563998702",
                "106519113364508781415544794607617334182",
                "201129380003231944842585214192429317720",
                "86924524049685365004753681493233266000",
                "68310792705376567652084708025424251309",
                "160199105938079898100624905779237921486",
                "238721435691643001516219531001996082674",
                "129246471766613500157665655272423005786",
                "227926998995454037763885623340555729434",
                "20509363557678717587708165404606366306",
                "203329531482932205748635539258446839579",
                "103802304696334815607392148105301663314",
                "177211929812666428976727908282092068108",
                "107924664760156729060427626517955689234",
                "228385619761426993622681556556994953878",
                "195241716980788627632717355941723918292",
                "150673831557675052332339397290423509704",
                "336116341320182836506069310612017456110",
                "86210064434197439317733505807370055869",
                "237766962179652783585607066827051511063",
                "304221622898685960610373019557488122236",
                "86828842243338226502834499319730073935",
                "293403627189818888689697902981438231278",
                "304573394157332343627411423701559182438",
                "3755922691171631946667016051712481713",
                "202636518887345243979416459305132251806",
                "175061839574453719594609824351149255882",
                "202986766347246033216996878767394992190",
                "319544607328404399577645073828851102583",
                "196598461174386282425094815531297867260",
                "75916226804522577232413769078283465019",
                "334754783676805015527720085663094987759",
                "256461243319785473885257451897198762059",
                "324294926743736133742542323169421838368",
                "226320841300580374931239401119169996540",
                "2732351983776277748673221226807308139",
                "13673119707655515661608260889424734475",
                "108766834865599007409107168469660676477",
                "103496554521263839809526976720936348588",
                "127578102271937079261082872651902083753",
                "170681044784335225858720815857717468805",
                "43125660009425659210939905882647978361",
                "30478655154607012089377873792308039462",
                "285921865429323737660506859688576584730",
                "95756406074038279815413647125572467178",
                "278884743611360943343927738270651375439",
                "212789637389800749477869085680705089347",
                "65838104584744535430104164554083184031",
                "172668988828421438471215504130417288786",
                "164997982736565284198115593656477412448",
                "218347986104956486291240375454400988453",
                "104278453656872138309276439637910121984",
                "99851102917915054162720268545917774700",
                "272191570973962722140567019288670911739",
                "80537734960233604191445334116299378234",
                "292933754877324147328774663684180222703",
                "330926327034172414349806242700813233134",
                "267622535695477361667040695666268038253",
                "143823234611808133872010165900175727600",
                "246747943694839866733067366674540921954",
                "311074960476012337225403817986392868343",
                "112312380152543783034806270945936734311",
                "253290454250065890418263808757641842593",
                "292921904139086632994892898206003537005",
                "61802930770979776518045681914198962784",
                "115115473383118714842450811994598774654",
                "261003146125863835013400561949927557598",
                "311189100164014050039789715258442411584",
                "35684934597984684986706305896617414380",
                "22986230759382021540117621103587598016",
                "102733965836983760535719014281632018822",
                "106129301501036435245171956762314243938",
                "136467189720252170888383660276330989517",
                "259506721101568524087274460274253281006",
                "50598758480138422248079556145542334761",
                "64968670643850541741983376465572739822",
                "211455398891624496588718814134325269906",
                "340060693711843250479333952793627225808",
                "63653625716464870729053604632455064792",
                "12507030747383439066250962427794536985",
                "9049369804441422447703893828669263644",
                "191977201473127788094634222993748523618",
                "319224340864977646752457900621190996565",
                "16805357338324133239003310698856954169",
                "257833915581580502233187886294762090400",
                "336072296000649372684237955193870003129",
                "230725803441042692620557318603767922610",
                "76749175367579182698017746883680027981",
                "30194449611020017480729088795693944169",
                "279348128174518659190699069036282337854",
                "202549171750342753426836883306597958149",
                "96201783097657502434412998781622824799",
                "308078655516256806325116308066016385551",
                "227615747582149088265790185466307045717",
                "108684458576907483297191163702441082592",
                "129372129569598179891880026679634776788",
                "215419016499074058873526682702903995055",
                "87451298294933046995590320447770941568",
                "129630629092603045396185249997570777594",
                "156452810935254290110408064601421962382",
                "215833084865733062863002967732293441809",
                "91014991926346150970190209764402294264",
                "89151328230169859621499929645676845064",
                "248660305875040455829800288972768745469",
                "256888346329302149707545103632388136579",
                "16463094181034649707371809898824406316",
                "161917442441616430383867417462412949523",
                "51767443485795084735870285666409509146",
                "104011250236770058222912910550981731089",
                "283483221477133439870046971913319739385",
                "98070856438522610233116250334449909236",
                "61456741879622812174791833121043805337",
                "113191874716827585537005006402922820814",
                "108089038936937945865482485109491073215",
                "159673583904007247124742250881092014783",
                "131918185945908413468525024869058692965",
                "266363160435347767795764022327332243314",
                "178866725252949442330118022803538025279",
                "70951326086205052887020401739706306804",
                "96782788489613110327782364870418919771",
                "248338622878689303839365456663430472287",
                "290881187281889096184585471432871081964",
                "51885181464700700360311479137463594458",
                "315508061794888974666537373806528617876",
                "216702838930311700507280147993995139303",
                "144521974200409794055975825668892048771",
                "200773805017806021975708783029472015111",
                "69591189400462601175317930323519015121",
                "223225644102257208157325942354625652900",
                "262475338626845348930709290313397651246",
                "138235695933611780485094668901809123619",
                "65325566529193675903744774843107592159",
                "289412977890214015866229059804129014400",
                "91672981094108515415837948459738866261",
                "39069640880278501339193281961679932794",
                "215999602099878431910852712372409304451",
                "227273886260198809420449811535534425346",
                "19540217994344940451587066265658933215",
                "177508703578721526419695177436566750587",
                "313646142554499821466284714934964859946",
                "101628642209854231622989799143184732237",
                "97589333042118396527625965643648762942",
                "98570765467473537044350344389402446788",
                "41067693274231524173992498640801798436",
                "331909089279852307941843086975774527352",
                "222438946082322804435145539684096594298",
                "125511301475421096290427488817338843393",
                "306699871847289287343002010978577495798",
                "90066552275725949079559886610016672443",
                "157731361300349382905733858589153050058",
                "21644172007901222150726808761853479498",
                "9885696652879100339715211577052327906",
                "122949329534810829467251059553996842181",
                "225879145729808733297283052652672873124",
                "203832068879049691946270363597809026705",
                "119733190984067676037557066293061650377",
                "178619298259132765392214977050008507915",
                "185975016233019149851168855937419306453",
                "317727114184120797794244995950291054269",
                "312458457125721037766780910470995931428",
                "26806825775378485728684070572451904444",
                "306226060212134390486605773113265606635",
                "278092312953780502253838487053330575472",
                "93985250026285382158891404946297694914",
                "328684792624226968938142081469388812224",
                "15768998679282443493321019585538931477",
                "197953086914467540663213603607542877828",
                "305562433091215359415879298474070085772",
                "50204601447668265501745227375379204315",
                "57000493583969578329152160152696215489",
                "295028738864847239205684665523405273685",
                "219289948997135754640747614421701233887",
                "220415679964855401558762778741281270513",
                "106572909701449465401960857695054059237",
                "235184166896351357807268834850367663789",
                "296542991119301690866037934549815901671",
                "187070123837170060192802863426329669990",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "285778877371365437218879837316196906040",
                "271153434310720082839713856213712895651",
                "314791357298451193010592759072115088042",
                "159859603820211863652119844970203453745",
                "130484968220114717245837760521496305194",
                "25992142622013423273604335719409309594",
                "260552235762390122463779139698490972284",
                "300708299268359954985141631694724265688",
                "181834685868525542143880038493093270357",
                "201227938872979177168296970715573353258",
                "52786133463885278303982545997242064281",
                "232255658544696764711124144687646857103",
                "242501640642427282751730625261371059346",
                "236051159992307245558067218048261125399",
                "85152521196120751661649306113725845836",
                "340247703351473760519060170776262859252",
                "339876850346502115345176490537250344391",
                "111911796170402385201603663740731629030",
                "246733657843752348795628699988489015767",
                "84100301338969213287966689305327951221",
                "111584832067345000941323341696425768864",
                "227947108655887382954773785272261650885",
                "75127531707341402065512428147325525009",
                "285338889572253768209337729895085432693",
                "176804308423798486086607790339411231076",
                "172580867312305490989068875008194331487",
                "131975569207875152488311899367959126413",
                "273984851924728983760620587361459187849",
                "224227895227226939694293324867616241925",
                "202660004393847263995096214075023330317",
                "247242292803644122551728331023065393502",
                "292096063622749624616243453860566451441",
                "129271112378492852291536896898989753129",
                "188253877399935706001750085111171289209",
                "131943759398920070958035598541851365620",
                "183134145052157073605917042561021450531",
                "325953003087252463044244250154679024605",
                "122182445919513935065759721822015253320",
                "171932512434991166736959292813878788055",
                "116998149772003629731428290501172183034",
                "210138648631100139954232089275610016841",
                "147595343988883555545042616734169556966",
                "22523352733550929103664340003775699063",
                "51473792113398848945076172941287089976",
                "260295281428904461095428180130960742272",
                "104289735413815817816623957315101433855",
                "243302390741755176154242484073455010908",
                "254954602948352104407475326270788320954",
                "315960355421239045874462631829074631680",
                "161851337533098377952020577201245201030",
                "286892796799546232125402213608609604524",
                "305438303468908069284380290681459184769",
                "34260918223043409062116073939896318909",
                "5910476169812335061651920475153694198",
                "88476598510748608725645098364378640471",
                "67471653460372355830962647715786107835",
                "3369750922068307849845670275958374546",
                "149663323078500330345070660780877055643",
                "270708186337162768018111546224460423413",
                "43849171615228938749731131899842953696",
                "39522971177460878697110379321619132153",
                "303453336957889522860235665415800798081",
                "329422400702107027956143648103897994129",
                "311482370546224293362317760219357158479",
                "10509634775918598171090034972355290333",
                "234946545344758479466313442035338538497",
                "269875702217003433890349697255743579660",
                "49978870798064117846526235486245688520",
                "13046947971125680489899976332754414922",
                "51390827211304507037226801220616361996",
                "82897710772348300357464698573666447590",
                "68191412547177914640151930364462363088",
                "225622156786170636031362963916335967264",
                "81113146301323995892513584765416089844",
                "139819249094037176584984188540271725354",
                "116776242448254807854192177281319675878",
                "307653591418442698027561208518916442096",
                "185405803652017271881237456514072856775",
                "84621733252920906974260788193884872385",
                "20183234028407270901272349941118224776",
                "85506457336121650187760688038052788600",
                "193547986200282327453083556347779022809",
                "327734243519528216748838720429777918588",
                "332305556376821542387426142865827355243",
                "19956241855989795837549952642302764319",
                "283749264461588419301191559651765970124",
                "92916799158251103897446951563340172044",
                "167876837764054649376393909028448211112",
                "17645483355052986818803653258601248563",
                "195540748138924584857706847191415300627",
                "232015629901598103793891510110660144659",
                "203425897343015658469959487025664346695",
                "50419276978059658389924374383583599247",
                "39152624594865006106458775289677034783",
                "244321362930785377497230309700410061753",
                "152162384388651189211819904294853297965",
                "262948794788642863676509011536701039203",
                "68460467926191130181890463771534324958",
                "176801046657617078490389212216000449740",
                "16913124931615420661119099777730125348",
                "138635908537136338792164546445637910805",
                "290096752265645085190320830004383978041",
                "171341530524047896920557745807970601445",
                "269904153654304762509490703526468038339",
                "112008167356091289011303612652686284873",
                "330920192983839800253334357709711711627",
                "297284307578213414937010801469036605024",
                "206225785185782539216731000107218003191",
                "189788345658184849157126898065899789524",
                "284728625742135440373446982130193048130",
                "19434463396462686719545077914596291922",
                "129029173019797992149992641719420806558",
                "265845390410823354990639852427231531289",
                "74964057749177614806481507008920967836",
                "175377845875070099013331074930434717697",
                "67446537811973851753523854307685742938",
                "130342393461766525482715112128624387461",
                "248963895970711553260119007854420897427",
                "108960022941085758225631878479250605118",
                "203212935691195157409366067365040664629",
                "294463998431711628434111136376248031646",
                "179716698329554938417411795984132683823",
                "120094424714624054326001162928375689699",
                "285603743868584211359610512261641974801",
                "58075321555679889715529546721673228506",
                "21552572927211721590281186757109918063",
                "159029445885321566021376246138745759867",
                "106721214312909684698043519916160461374",
                "335699417224061317434563622403678108413",
                "260270201822634167325767128930516247727",
                "149616839270024544681587900419407804211",
                "204810052394813750563063699668933842325",
                "98418291693950161655342463334079149679",
                "188471059762822733279539471022765345782",
                "325222155218226462685725102885556302377",
                "99719411755203747614730264553936874008",
                "109303500753316875623621266517409323061",
                "304215909775779527090455100177419617928",
                "193034484984445598409041145525531399839",
                "34344924064002025417542736350744577484",
                "61753606464009016196013063686333426230",
                "169898707358990376021728846214404938541",
                "23188611238586322253750833201564435469",
                "281825049280379461697783931009083897843",
                "15836965612923293615583120884586159019",
                "155994176327919619697955498133680439077",
                "260142105064658363603127827666067510515",
                "54185777091904428191905341958669699666",
                "134016510734531712774051198478648220302",
                "231524846154158398452717686045160112048",
                "252368311294054031521069177851877847607",
                "210114916470042783225718625434332392719",
                "264458112112292189472021453323134658678",
                "115140963920170106210711286976187076750",
                "10174967437752400335475943564438638249",
                "275722902527542353783784616997764735804",
                "247307555071679024819275148808389810118",
                "12863818098902600124364630340455095222",
                "42745164247870954281608504372701787801",
                "77426808657921770950898367569556669275",
                "298544780410141214108557851787888589969",
                "227095370378946976487125581367489147683",
                "149702562216746089724692723458576437207",
                "238279283205407282285291687015172538123",
                "64769357001414555416830603554211643",
                "205370750048975837731915380843716219314",
                "249601282471651592335606966681230393578",
                "299305295737304426843256806764158362972",
                "159972104702387821644370831508874300267",
                "15076190393049974705572661015112717065",
                "237461859623040110835410252048024357627",
                "213419971948264722001962594468568734313",
                "29865033465708600557664060534139636835",
                "193062088176944206018972037705262611418",
                "265224677459638799015813162197197925232",
                "326527865982873965898232422949349588923",
                "312643096772630063832608314350038243530",
                "270097698114339674522413336783292709678",
                "74823431032267261250860379673836953918",
                "224153815891101794110591005683283604049",
                "231473107205311770591607594534539551726",
                "219454368175834309303571614796545793143",
                "139852511526892918153322957029382890871",
                "226549471181136909800924899458987063136",
                "149326226572200519292867188478337803955",
                "178021452888560738165089291026914705265",
                "308460809225550836588318394917203428508",
                "258186278354228139289341322094892432258",
                "297551736763414408516203536328057880839",
                "15380106887876394723397207254695321761",
                "276530705812904236644373092795402585550",
                "246156324258825610619019559266068562244",
                "309759840626503920090291538238374818082",
                "231913253583578127205254756086628104828",
                "164873538356594913346874196824390494532",
                "148509433679198216008343836230854329890",
                "286740293779039111474777776538394903433",
                "269522385054547062354753129215337815169",
                "328938561335030773428929709035733379373",
                "89347240308564269897362796171166727033",
                "195523616113135899140301154043366783356",
                "210679879640928234241116446065574284435",
                "206396346622585545249144509030936466632",
                "315563738963527092490785644325880229230",
                "73556058231810762610561446017242109736",
                "212979813104624962017262185946789645215",
                "9104435096762852568135064328430674415",
                "35320692357347575744823650563400963407",
                "54211812734905940874318557811276898778",
                "106415094842895923036588901194381998361",
                "339005985924922192852189155189706737922",
                "159381362511143348934020736726276631086",
                "29821089717031778613835713742895632581",
                "153796462886686674358744611530555467033",
                "186660091904144406206153308370254783951",
                "36875891665308977832268788951266670330",
                "44140561950938824223527187464909350465",
                "240137857504264455301955608964071768687",
                "36131131009096230711382547621597003370",
                "32522428243138877388905227220081960901",
                "166344793595952754711160823475273636859",
                "312163047149477311900299798503786154516",
                "161591487427515771875191134684907433951",
                "48863520234182510723636997405202813847",
                "319749778207443122573324528577192007635",
                "223779002177662945409586158562020748111",
                "218350902173060694903010452389872511791",
                "156452037081110828777760016780511946018",
                "25909836225989768663854346665058025301",
                "192942563728646510922469662522933021938",
                "325715396128305170167915956067922648171",
                "114245793333178635147962270035582940873",
                "19571745782964146040586890235849286951",
                "256518850139608318497609756840098676755",
                "113975825304622180594454598283096172206",
                "257142463000285419166411086078443002623",
                "40050724554066945980635322531646523082",
                "40031749834990441754342263222283859550",
                "276170061949312397598058407554160747692",
                "19380510898816143027562744276383568249",
                "184013685618012902666340961292127418221",
                "228839502647656254942239467637109011185",
                "199993294265219692981351167730297002277",
                "262998778361119042887129240465371876522",
                "223780645709852708810802676377928997847",
                "249598399140499077844644313801528380865",
                "267567039970539090229265435250363736781",
                "282190633545143505956386019822350242583",
                "253385007819643257936933801617336062886",
                "21788209320469512484760950359400297624",
                "34033480502975375862152655358532150501",
                "211035910549523847332256346625673993674",
                "18184240671035530027671180758867856494",
                "124093218814781882816535464257802736671",
                "322230063192202204951211341564319802879",
                "6613390975288430593911616637968132564",
                "338238341431159405306019870548975417344",
                "83810721842029831172050387980789160195",
                "2426336533292662037473771412410914598",
                "225453992707087607280091121440930492510",
                "95155101527776461141708875925427864495",
                "6124194515199822182159346676161017321",
                "10663327622311634515008204052257162378",
                "30302297641522822411190962778191957003",
                "240681322302424872893396957466242101110",
                "45139559080985440459339707219018154177",
                "202426242032374437940217245226909758384",
                "175005565930651247887128881120909085848",
                "120466927258032072372128606668808965085",
                "32434508209347064656053548965088937142",
                "15957303245364716688660248753800277982",
                "322609687482102089595800549336013218589",
                "57363052472091315649065971411468284728",
                "290563990959612799809352324083519729659",
                "159087891012276201287926375853996704379",
                "133261869127826534373034426579126319638",
                "17895669460685374232547158881888578051",
                "246029137272749027348629056327878437567",
                "236367691014047836383051105256092186863",
                "242559291159799230817586628153823542428",
                "234411640685472910955877070388090383367",
                "43618484849556632184170259985549028013",
                "39611294570571742426586741871960510115",
                "287232864754326800583023464186767668217",
                "235078869197669173002750170854108888936",
                "16155417650939321090128484336952902154",
                "53076650373178677984207139939684676890",
                "337446117757634132719903611566133020666",
                "319278107428863007770561171613526157134",
                "79229608593445053853059589105515606723",
                "235825899723330335610905658912100147905",
                "135129172690300891603490600840345460619",
                "204513197430572863386127753971057571739",
                "206779000498731643584561020016289489700",
                "245599764849813091216243138311624441564",
                "130423378194228388179449777972388795257",
                "304174805964700629119552098108904626328",
                "174834363590692090742845552062803925419",
                "13553025457423085417378386622931847908",
                "285209857835954420136203045089378961781",
                "9816310841864705192376882069331612862",
                "59223706736278881013635644995459368677",
                "6222056894299544137712961260601346789",
                "292252674477364057562862848062801293734",
                "226192002136638000710522147736094476494",
                "316223187239461720523587712613693846457",
                "54487821987261593123531186334878684766",
                "299127122872614592931809928865458100162",
                "334284115843979699399984528401858258851",
                "171193744315426956303381885117135494191",
                "255077385104739759445018485375331376137",
                "248565878064667360001895443007410372906",
                "33776777797777061771179835852673153393",
                "265283330489725572975181595491527964749",
                "111922524293368702355599346007762201798",
                "152216662732170842148070665541290318033",
                "313981426048070876126366610451928724556",
                "319814693506649129436462004411608536414",
                "5841300295737767200298163403810773221",
                "313767165087739441023805225054488219200",
                "163849338451135329774379019603818245336",
                "300945389518378877977111116465299230000",
                "131606998749355649017777974921790360322",
                "333637832743328101793544409268282356220",
                "291604604868451279102140378761021987561",
                "158428914303055641023875460604116568247",
                "105007351932536949809034721498697955778",
                "265786997639699710779774084458806074628",
                "111616000661150787592458706743180340818",
                "73687209830428636122572592630748740119",
                "156509538845159718342721204122398958228",
                "123408802477423413332582817095669421062",
                "119341177334648836448146260062565118568",
                "217668225096092450949345300968143836739",
                "244694328991648111528130054688675645539",
                "151183360488693102348635466600952565421",
                "66050641424901316246240795705161752317",
                "215062647499002540068016847152931311856",
                "66823999269632889200205707489647942646",
                "306838661484210902086986613221923892217",
                "313584778691170154026827823043426913155",
                "180428275211015291351705133032754181993",
                "116262062409386209140661392927055125331",
                "294107057594788788389385976915436784743",
                "304371860067187999224777037028801664451",
                "179460932293628725749677696698639872115",
                "165159706808882655760169288221367883708",
                "290407570897108839628136362008444824377",
                "262596262368466659520152408668247204175",
                "145342254203523900576290442880072378804",
                "192039921709826177257084922876370833207",
                "305386146119811135613023620439396005246",
                "50577929986778616927928277443666568450",
                "158269749915941579911481782112987663968",
                "322124288530225365611985123635515527101",
                "175821306480347315927284879754455085559",
                "51849439325209340164265510178265081146",
                "246075467597580809263322814606117224315",
                "124810589116220719380944329456468129385",
                "268547452814868721358453596112207463573",
                "208537042037699416359097354104946011312",
                "105327168918099793778727129605006104749",
                "57533822925070945490063064798243729077",
                "278618299338811143043290403090828278517",
                "120134989892511300338068781452129878379",
                "67152010938116305782799019746867107072",
                "322607944280654249507584876480692382286",
                "94548384676310175987810974453919479762",
                "336169900565314844374991761032500610899",
                "71271705308709081623240294541342602896",
                "146256929943695965444220881556023141590",
                "130717182325333321590603456138191096982",
                "325620931966848107970309441606811650419",
                "259801196555874064894707156147509661625",
                "284175530880882864380324452133901787031",
                "275104872434944444478298731109812330547",
                "95545414037381344890001616045671471877",
                "3866476123622216135176048447925715979",
                "44561137534738750545911644251377210443",
                "290938596577998048863761738907198765226",
                "88873898840836282652442515404776261405",
                "119773154680276178160256018432286147962",
                "126386797558405590670006855069706082791",
                "298258989955988714281559148004117232164",
                "257041576046614330252457812050177083168",
                "188471647670318172937288549773459509625",
                "300979218121108820043491260010840037786",
                "335571545268528763733404554039603756046",
                "254678427871977795714929237919138756749",
                "31759428675875663987762068531173363510",
                "126780086566817647132821429644477171104",
                "294842342934133669520407076919725920386",
                "7803419403039376113614276591384160059",
                "253130633386746004969821644432339395605",
                "61843111843078271331796285171478949175",
                "315588118137383227169885459516102885947",
                "248193592385586750229283865470026221401",
                "58115096174349033939386566715629881012",
                "244891160611525975676821841581473053568",
                "111668641720290665558759769834768190556",
                "121893781025802220952255583732191177871",
                "224803561999243167608703050459535660354",
                "127661372165023684888919843145767759003",
                "300136823735777302170840677484973429008",
                "64346354728394385946049579006615347347",
                "189407952892536316103438286172179486686",
                "156986761002306508945453910993681880565",
                "173379104480147721654906623849117310646",
                "236446254432031623354571585960373589931",
                "309733180788313880735819203542081433521",
                "27533002464786852147429049647615892905",
                "116902496980636673447543460556830117345",
                "50390860365044312192011558422361197519",
                "128988127644290804528023534753114460697",
                "66502874770909578760179111375412306968",
                "334706050236521104543076392893634723178",
                "320731866113965259476905215101089560404",
                "289313799620715763441645249315780914490",
                "156687939148839269268157033957961001016",
                "115596292659468883676450488524430339222",
                "45038178362489273496554003070723823471",
                "98412310780725561010208059314419481727",
                "326487734623224414744042191228618653725",
                "183676655932469103909540886506487455765",
                "304682681314365076557216466457498870536",
                "1765805612574814952745439144187499828",
                "143149089699284458472315589645111274252",
                "23989268237740111856074934281566122512",
                "10932219636095719170868003290365361993",
                "288523438071777246079602208436969128333",
                "246253677472628504033120342893382949020",
                "296358670219261314800149702402475803918",
                "154457269697538014944005390934938247790",
                "237439936252243239954751935741658892756",
                "4074455336089711242110018992510727208",
                "243234354591716738470650921034860558969",
                "3095559951966914851025170673242452462",
                "330575563856419236733087597680926353681",
                "185684214277099720415016975751059352841",
                "337326363623764915995370507732256404412",
                "2328465145173254261168605865549091234",
                "282883674154025151390553389529680498551",
                "320527537193119000702407038423878867666",
                "267071069619264481019003292896462491635",
                "122314043549713844805171390721260825607",
                "68806637176147489087041510481370337581",
                "157956211910293881433915016576188637060",
                "64250650401274173548451114182297222645",
                "125606379396158401457901392267082137902",
                "18556685838525238775397112916307620189",
                "164993442292529554218548320238219338694",
                "79135404766549509272622546843356385747",
                "257585819845065767398931696876914304082",
                "280515132879739818483999962477183326477",
                "81434972688830921121192292058817209477",
                "171182002572482726585859764720035473090",
                "70914028283560095735149634408428328609",
                "99721881512065135755263350670297190585",
                "732981366258784249483343024391533148",
                "301974697610535731674971320464717389577",
                "17199886612311802803398772818870080476",
                "101673863200894209124336208337142201677",
                "6379692072991980597307739537415338944",
                "246569772209754265725873650981963026860",
                "51382034927521116638107641224744810418",
                "193932669822113742910592568955109418125",
                "274648249921126181188954686987247800521",
                "198997049833233754332909518870150442231",
                "48118977388276608174026361933264159389",
                "214655639604836672696594156660853247335",
                "338210545620244426492940130496469963536",
                "233753497380591877727013601218807264927",
                "237420852444767777332869315878182780926",
                "84646485351753356012733062805015585077",
                "30347614598020751762663474601604487193",
                "284700563428478156458316968729741049694",
                "151263538378475148788078309541943526954",
                "271005636333772906467677669366032812693",
                "110711612660151064866276378260108644363",
                "251855830063425188944688233312820499432",
                "91447815113953289099650118066008562479",
                "268692351395664059459776243421063512955",
                "28072280129543275488373329918620256097",
                "58924753960621983634949894787656453221",
                "94278407740277872116452355542715883241",
                "144245737896302513779600304957040871943",
                "124943107402787293665271655645111554502",
                "216818405717036524531699429386395022597",
                "187729213893751811166955045724921420414",
                "330419839941402803291998704276587056767",
                "180098847087815106311139967109804230475",
                "68458521655826460409888345095894307218",
                "258179714759627624128775157029908455825",
                "339927584712694073133973261801876492066",
                "164554290599757070180693215193359703722",
                "153627062233999487980194499102119232971",
                "66450961138504552700294079107291363686",
                "208792742710509660497728606485596642640",
                "203304229992440891291634829505174014620",
                "60634912269691951779715000078039499795",
                "87082102728407351865637334551071639808",
                "288718201824674510323175395170707971426",
                "247153775765064011134836754669889446034",
                "328065637163766567375117367004818303304",
                "152902287604911148330613522636016638142",
                "162866318935105673108550811398720571288",
                "79429230308161479736476706745618153417",
                "146539267354627726485792065021463380749",
                "331774493287050530570626326279903986834",
                "118849066909072652549660911239716574685",
                "254290855416788237673158631566706726329",
                "13199813694732569134264104184553784167",
                "4930826786452100785288893987288294488",
                "232423931148709774248343630381333868132",
                "256529377703807718972523502089620509970",
                "46307237565300832712818337812258455327",
                "274872276222866741324958832570828449766",
                "9592877641179726562658241999120792517",
                "16475180596500917350260424440498580645",
                "105216831561200598131918263056336899031",
                "339785501774495225834552590243787145946",
                "280574526465500659772355691130116593683",
                "35266461705183276500742365797629211568",
                "86615016325320057125366685906227795722",
                "194804510377551317628143133087997920575",
                "187310771564568009743656413255780956228",
                "4227523297126858040994735035753293545",
                "58369402543630311006030001116634725219",
                "6639923496636152530072006783686368170",
                "305593837300703012662196790030731246288",
                "289095809104223991088514042921357554103",
                "200661450168481970062007994651625350340",
                "275860539614483890525598528452468485246",
                "109159492143905371173201526246261425883",
                "203110409811039675406470744250830260765",
                "10593925451794642211907349547732964118",
                "269245991257247591862404074595953547308",
                "57382323871946960519447106378288120556",
                "58734800671231921573059113280601521693",
                "115443926884135695885091182759966966609",
                "249302922088930149446270812580659940383",
                "119565081443373888000278539703258330760",
                "52038140329971374723657935043914255151",
                "187134804851078956896083099622701488392",
                "170331454022189899518221175483859499637",
                "217052554031809097904808553688542013857",
                "131608840419103750398642746062870792861",
                "100117032130329640408354545648593260143",
                "272715589898175538933840510957764765134",
                "299345549101766460641409321224987780334",
                "181721864648935982885145091245108367084",
                "287880397238939869112955657963793448617",
                "24262753216709281036876819543795040960",
                "125941664537344151432696556478803864188",
                "247356206522189688933821573244320467411",
                "209524556915170409927065410674334439028",
                "329442348864184488978695397819803279202",
                "284097506332477175346263333672142089360",
                "192942143090247896712793668870350671835",
                "218691184859881756412966277893678186973",
                "319329394343277185945657572307933933779",
                "80800372021011375525901068334474468432",
                "119979961049149091038021328986202423907",
                "223324698889818050318540076778795903946",
                "218418546059397933526969510609428403403",
                "3837415306361786558553226068372918401",
                "96322086312465569990032522382229625495",
                "56230521919001880407508182911918576224",
                "236394952891731076540747998665073484613",
                "295247805663868470618654447691999999434",
                "313698008648548477449396312687616486121",
                "301416649318061930174098962561026678182",
                "119813996359411179521115925444827714133",
                "192915703098585833751828177009490647499",
                "176856614790279250478553020395713696394",
                "177562063983838992108348001252305638744",
                "105655313782136980649452513652343870028",
                "76789906455895072317264975305159640167",
                "296081256002099013443230635418625139499",
                "153248207249118611374754863058689570558",
                "49181664962718871073514514956358603404",
                "20787080607457090335003420636158559868",
                "36408930627034925261315602459019473679",
                "322379350540945496207202085927052312795",
                "48940287793437145918613865848470001729",
                "53507641332129512689110727892707369463",
                "323436817745082346156378892731812650125",
                "32025011414321802639761503530477454082",
                "156816140026248767124438224748925982026",
                "93872456189121466843576668271693597020",
                "256057162142558506434231017475208037194",
                "213420458321504708796364069979941955100",
                "46261041361457084248199606656610371427",
                "174925958637336546672115041156231380534",
                "142334471193577966398614877438189880883",
                "138011979385957812108561156134642943052",
                "184409001156950090250411911637062821942",
                "141716681637985116553531521155099418708",
                "33276195428623898770818027431400593939",
                "260975466227421987824380408127694695920",
                "338286101127707176169118569243529337308",
                "105882770977662708910971437999553474642",
                "32582632922848535727768146201363606406",
                "230387061793649976428640381738235626907",
                "210242714528357107356053325761054796524",
                "199767087355820311325736181409767836049",
                "117691327649229721845617947176572386384",
                "328638470505542845063247869698959384750",
                "65669963097619370124739377027597293269",
                "329837494670391818044111382857683914856",
                "187693604088301892104089163722488574270",
                "283623476397171589525548944614970493403",
                "149429847249176880160153040908066207723",
                "186832648538660976408443914037465454214",
                "135319661591575098586289011815924514089",
                "329717289325258933116244856016197819302",
                "130527079135589122599165037476398888921",
                "182671383182845082667028359947521285348",
                "24816705441491591236447531502949293769",
                "110763396407027652063942208112265220106",
                "238923037270388393458882954981977306908",
                "137855303949813241964008304066745492890",
                "84853883198427965005212493316155507866",
                "170025938931051633848944653626387086081",
                "28920113380719567197563887184809418718",
                "29051222450322405534947704752467669196",
                "316946474017146719394911250009935205471",
                "117610775117929968222500006453424339352",
                "134618450260813844805014997279475482243",
                "230323956655981756423213384257301915541",
                "82443455759731816894724207830392370390",
                "339322503520764846865495404103327218599",
                "195855867668076590710383245149802524972",
                "35108235068202764765087331346383681299",
                "57108964276664708785938301683077394054",
                "279722900477706650631344829540827463633",
                "140843238963390683933572346708023602355",
                "28870846437170168435781750888413836136",
                "219481274570442906166203523743099847644",
                "229898648228086734587036429748184746384",
                "207164695373903051225100906439228919678",
                "179831949009912030315964027510804922343",
                "202428188352795089659823969462798434587",
                "190978385161457631347634690206801437858",
                "255231547280166786586772196028627967173",
                "19914948529694346206306615090069041713",
                "157765174138179259118253191365637348647",
                "14068093927508302141259448753172877854",
                "236460082423409792060837147935894568789",
                "111939149368177250909583501823628764610",
                "47941086720944336294752438394419379744",
                "83888626221289267900191906662209997084",
                "22606553473485475138242540111043625154",
                "246786217146666494553288699463690391903",
                "57407978689324982599493549972925607797",
                "278377130773038354111903577187281404477",
                "203909973007244902444402171299613462244",
                "200965570723622732535965337687613648050",
                "191509473616749960374232690533880903270",
                "245030531829969497782903140461485112799",
                "219638116538964495009772586056460429881",
                "90587038192270966764639606961203029840",
                "203057856996062547770308569246781462703",
                "278967540954623937674476919252284350999",
                "7018501761900156932968589415676705968",
                "256889501891569934692360910496817132366",
                "196355911978316416800946160758103781161",
                "23924542919314483951627511273500792583",
                "250732463780614830442312166061153039027",
                "50644817958428862485358753829098735638",
                "123991867723548236062717046793867916912",
                "232926581165077352718186006570533297801",
                "322674006483962711942591233651732024029",
                "6610617091056553749277125404720661647",
                "51412030235590680679669833227678882011",
                "140760571202648061196519524655323083954",
                "290078804642497299377415445107862251656",
                "58542477065268430238651753705284468886",
                "10629929465804534462747908419159237349",
                "6089968720663547881268352180069706145",
                "258783287145301687623404043972783909725",
                "212842688646207379028492247048945286533",
                "119646944952947117725954774804951476250",
                "132383570910839284493082650511175062556",
                "179332844273572001856801767276965000488",
                "199900850701816447886568652455202264049",
                "206817867282647730271681756686707341665",
                "260349900596680774407882563548706316916",
                "218753462022479041281925068854897182656",
                "249541961348002840159134847104023657900",
                "296739815590025409668621241264460135685",
                "195961663825186966798386637803137449135",
                "169440379360477123633078629620707332841",
                "64000859627071535061741697362278120341",
                "208693778615945726799513867946669408039",
                "116107268842193039193236531750000138839",
                "243275347664597426518238298273529562354",
                "298813357219068963642008618050244936005",
                "187120458336053131270775662063028401375",
                "39763984704379975262054157591048828786",
                "208576110326494337708160366477772552569",
                "251959357753183905864686052158554711826",
                "328868623527549435001012377742988679037",
                "324074007256651171263532925896355877687",
                "258589396977308663443886278519494568011",
                "125876724141869479134787199035551573953",
                "131544245499643810639156065890115685052",
                "103647180965606113537903591478987308026",
                "64289693380943018823847419523659691296",
                "230940093328819170724183781111179326324",
                "110257534334839432040911602045926365377",
                "159426351398657270084877516073844504141",
                "186005078303356396656392819331685204379",
                "29753481401358450949271742803571933770",
                "69879004938869296121558737446243637461",
                "180954547204277220293420275562194790845",
                "59905760787788748537811221044928174017",
                "293432130436040044584719532431490830395",
                "42311052215208489310504087070901229017",
                "222102827161461623863373307493245996537",
                "21822265857609215868708018139220025255",
                "42257053173199378433871276146453494396",
                "268794688581969535618556913836640324525",
                "78325343328003922970508405446923509499",
                "252781040734598024902650012375772450180",
                "84441720522473214747299982249374121731",
                "113447106017764294067072156042524816453",
                "304501106530057851678772971591893533777",
                "30996905712222442532969852440545565187",
                "2677304933177350398066129941357506868",
                "169034270258026341391665505009063867198",
                "209449372253726231864372520106223421649",
                "322955066929913548272528805715451052387",
                "6073909396119628279931154417283647398",
                "217773824548527060578135328593792828551",
                "90383660186679652454189207796011564865",
                "104620631592553292842524049794257210533",
                "201871341077720263838822198071680379781",
                "165511251193937228032933362009637636591",
                "272787482335786666760507603455785771971",
                "184109549195841695710331672847282462529",
                "206488626329688300087279077049570414079",
                "135819911023167418287738022008982980160",
                "113161191497107329462742140260984873720",
                "310436923191549703977012949947500804325",
                "98933122473928718398009351701580623780",
                "187523462772018314580511756704752896290",
                "97956529940443186004876147499816893246",
                "119081778848451274836108036990732369288",
                "26830140718693644162514507291413490145",
                "301110241590936257053358286587241090871",
                "94710166428289631287230511218246847321",
                "136564595379712999225423436865775277427",
                "112418984818013441332490814090155731380",
                "210599337170165933848748166349601247578",
                "275738259719941835267036822838182045686",
                "211796340953352997399712894554091304788",
                "159034480676191250857059181534350829969",
                "305868569152306247658096046003560858577",
                "86473700780001413983846091853869080633",
                "295070188657462460890775399800004648596",
                "213493333776526854132491388393655437623",
                "313155862480689009281471353440535441437",
                "321771553324529329700960275257525276948",
                "320004744792121958456579245881841324859",
                "204240055865993200578382229634660449583",
                "338054925985975748422171319141812913627",
                "207797482033772141265886139305141326623",
                "260760182725515815619921813205992494968",
                "182504971236943070348690474941401495438",
                "236366838181681132688092129603256941496",
                "212981605406369399802372065873299617377",
                "13619103602623492984471831044776069324",
                "11738620377090170098340550394378258515",
                "312803694267838336494075776962262583219",
                "67681038039720566956582836025721186853",
                "67663720482399026468316359423581011533",
                "120379007530945810093807154533950045964",
                "331490384936637753941402173939177684485",
                "339377180458078861141374429182186315629",
                "265109410425493785217484223099923673211",
                "131012197039842789545864432226353433882",
                "115394273742939090121514943992879636507",
                "272405459737605735136264268240381769484",
                "275282900403917049816187497678179589656",
                "273503745141311162456120802870009699968",
                "117731705705643744454826871845975975923",
                "109546659802673408649089945596742279085",
                "253769008135862617730758761858951623612",
                "59632145177666472340328985818208128719",
                "123031767930074505852181950413059557718",
                "109609003448451987749157754510311445969",
                "86003822047363410431877258230795004137",
                "143331543941548078459638510467518681846",
                "190554376754070323367538469110752226850",
                "128646311110875332101756413176922863626",
                "74319613951315278156260441628762661317",
                "307747489978073982150223324946718724847",
                "11758582395625441413203981315778900238",
                "111823626963231677730510062250503448738",
                "43902413587490931137393372212480626692",
                "862938191413788316413359560813351466",
                "43019530220087181736636181831230455567",
                "333131857788307740108585979718900657393",
                "96880970463355985969229625314099787118",
                "258429612976458610531544753742112575985",
                "154349030049686436457320958198755986484",
                "311867199474738561908320308075527942896",
                "162668338903760653011408936550667855036",
                "122534560019088845780232460474895572296",
                "283099102547068111093356674304041481795",
                "310777779895280696107003558270548352060",
                "211669664706678064044621397471352976939",
                "104616119592049240881540444898578929107",
                "91458745897309771615877993525932437671",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "263874057709835589893400205828924732226",
                "217196700271907308341172164515591355348",
                "10688301303143664180480322598085827751",
                "223148808108949865411770942771744143563",
                "168456624747022082004768090110179667020",
                "143782329426173228188338486429371452082",
                "155070746048500748813921979305171224273",
                "77597110232438267928365452987050915937",
                "58872638841236384280779326227754907119",
                "37818086422790124560625208024888790539",
                "223804245794311401948012413773934036171",
                "168870896547695231818639969466424286170",
                "56340166476839716497013271560431720321",
                "13728941451577192307756008476163398852",
                "4909633774383776347109827426287272237",
                "331291660602276983108065146134319325038",
                "226930799177910620796740233808056303343",
                "86417821323261714045872278764329273815",
                "133799580300578044734410929779998030016",
                "107422574705279657212735131085909681000",
                "56545072118584625273633458480442115482",
                "186814149830672989620422315173059246517",
                "319962904324639828589742749024631926721",
                "237790354591337061848432681113256975342",
                "125754652336750357503056846249353015092",
                "296086216093641573516992980413875049154",
                "289427808554839154423329772450910192602",
                "246672451553040630214803395160633071521",
                "227894501201112641194886563889851435735",
                "327405802388620806980339475767241243934",
                "313822559916900745685217933300325357558",
                "179183173680357699894540651265753413649",
                "278099871483606357630103514897834735501",
                "69879900941503744352069847870771519444",
                "68853179862172681867960025163495168426",
                "35695825229226380598331576708062606355",
                "181595586899689553440622813042124937244",
                "127843739717810648925871673068974556478",
                "257548999956842057176113962019653385460",
                "228781654238846447948383047291972645392",
                "295240444187253963194355949524485291118",
                "272517033838438009661585498626598539512",
                "14490490159580114119809454495681669014",
                "207201638257017203487408838757015196010",
                "205022620731403398692178355015732135327",
                "249368744387178057351117565889089173809",
                "289799006109438902495178039459152769391",
                "301623026171058633096981418899693653434",
                "140728190907091214732409258774560454849",
                "340128467700794585094890974224154250688",
                "284448421551520946765672350775095269457",
                "97290116175214611928427523498942735007",
                "257058707365976523303522279405883960632",
                "267099925585893291208467367215550358503",
                "106248852051017319624025332164522947726",
                "235748289354182526064951584687805911363",
                "29358818187943163162747777406222765763",
                "102129046046417863606642797889479368271",
                "170224733589984080891083276146488819662",
                "275492438246855332737821149431908974868",
                "54737246659046562114520716567756277603",
                "196158415844970016823681649666379226185",
                "273011996418104413957725749434891577784",
                "173938285892299263420924601199314333409",
                "183006643057997371219763275550969715676",
                "257215353954352100369781385520482156986",
                "202425911529235488747363534376030128817",
                "226736727920471850513939340177299903506",
                "136827659849772446166557498215914658023",
                "241769296426732082242880366707302441166",
                "100623303293606415701507940042528103330",
                "315335567826524979025116735089183246959",
                "285844447967246191127711754709472053469",
                "45013740824456643251021213869369304216",
                "57195664003242835438349099858148422870",
                "9430995703219512917824073389664894437",
                "226840139252718299705388816984093139911",
                "193436892648277987002484022153904654497",
                "204564739536423184841045994462337574229",
                "21596999175852717533554390544346819211",
                "38340717548131915844991370071889044144",
                "26524901173224076418952198824232677211",
                "157164169249635955997003057133302871128",
                "71186117321252712780837806950470396985",
                "129372106527064462869696325534217871103",
                "270217893613848520400212055414348944530",
                "250143298283005691783394731655114557158",
                "132749617446537412583978052246897111928",
                "102178340604549434679920551679090793513",
                "168178878104662725764847448026677581249",
                "75768156760354547396597273373724652705",
                "226414034590183058771673565645813077031",
                "140058861524878603126606171714238508049",
                "156215369349542199191498237108606695361",
                "256710798283498772882737623282477226192",
                "105708719992081093447413730573561256037",
                "33982534551805009454836406182873499564",
                "145072204707219254152164140395820957800",
                "311891839556831885095565427425014823562",
                "291154277215118405483842369534213535799",
                "219317950199530407717748757496932041184",
                "256072979276605644597419285133492150443",
                "195493071447149874583259693041015479982",
                "301293421092728370070098391130663935986",
                "13393614079937787916888669248237361950",
                "295430000714192606400378564351298664333",
                "126926258311039252669722656424240059923",
                "328320097496536365349362767779459568196",
                "23716460602033434469923083993906969464",
                "18414700397354362038584608898468720626",
                "273317350760251459484504782824900090672",
                "272950488487517666553046808767582911044",
                "215002100261358662888952794087167364016",
                "47174983784390932341082688105177731062",
                "60374515640716573828013871952905285511",
                "95982832181633742422114396120578347938",
                "106852782985486304758125816426536343434",
                "54962717449087335378959722058192237889",
                "194251972093602445465846422494609503894",
                "118751473058077370839946367275732415239",
                "143157100011380256149912208667379210418",
                "251753477957210598292128001262170342724",
                "207571592263962233317416239759308964274",
                "92185938890078626767566128876383329404",
                "134706636281432313249962958852578178460",
                "37338471458669468994936641931485532710",
                "318874811873300824362342841153973731124",
                "238224984641397091718379850130427018418",
                "37799818779439737697592471970325723617",
                "239564181901102489031171472325177713618",
                "288993611118198999097324987973718940504",
                "16145787002493407617149585093741255912",
                "107449588419646619384208103414552189867",
                "202610123753982376282934922552349816567",
                "214306772730164631817478927710793202065",
                "269009841724771561138625294765053512545",
                "313381502930481047192702380322428427593",
                "304034122450852123496577448594717207994",
                "314825739769469089383819597732797807636",
                "258884211843354848808709370994850262704",
                "286413193650999236349957955304186097504",
                "40820740362216237665126468348117431671",
                "311504480303647420049508357523903474551",
                "17254852750392398372059208858366806640",
                "293122900161563227225055802831602059991",
                "76690662706646922359947799420973566945",
                "314212331838682417607962504721049016445",
                "331544786469617649175193264215022405442",
                "271749793303135062807885644973358362519",
                "291635238346778168271342369140606551337",
                "300868747024895164572383060470338948030",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "26500541212422863002928571159275623205",
                "205009138775221562306439378210165480984",
                "94703120014016880797345253519380482065",
                "32603786651668502739848240841566183749",
                "117224485734316555447662141662320441376",
                "63870297117155327206161987720539179482",
                "21024227025277598737026647587418737864",
                "288084643609529796632988756672740633263",
                "256331941670373761913125512940471550257",
                "169586156549784950720784171051942868893",
                "301738542451800381159093858224568485141",
                "96747370175390805297483262224127763772",
                "41015138152737444526036663401451876091",
                "334998778358989043966911485357194017934",
                "204571969790959991832583312860272861550",
                "135270398510394399479536022148540788055",
                "173251703821506824745751630572846652516",
                "18230754744701419058638025400436199094",
                "152449299185053125776215444148317279169",
                "287827519553028916028677625465687687448",
                "124060530698833889565724692832712342126",
                "221901104647413365246810805069445857074",
                "52362414581448749129127765593337924399",
                "282650559086947423376703690125183887540",
                "43516844442668341470079590219594590410",
                "86701456552339168005695834214560890870",
                "67085478451685589481322557143635872042",
                "314142653537055152687601572236228326824",
                "44177224072227656269573295309058341745",
                "207246143442277226914976697637849834903",
                "276280860739727451019763255472776797585",
                "316040176913670346799332802176249193646",
                "331880629172895879659815084759312297482",
                "293576997775268172870361966178968229844",
                "236601250473796737389431829563356025411",
                "160562124885508857318848703797485337005",
                "176820056449304958932395277358560009424",
                "132986398101538178679763075143042395061",
                "265519249113098770822736241307096893436",
                "162013185919806735297751314592197807470",
                "258159898644420807634998079434070531089",
                "138538535056216440235139008839164551268",
                "193370362245720802941648277398539081816",
                "337416869728443728439007375823301887873",
                "218949753487749188557363363013359336191",
                "334948837332297066103798389649242726715",
                "4445155649519795625844284779888876284",
                "35284605088835349836268889123751503118",
                "72044204430034775369301020244815154124",
                "107337871523842149826041653926251621322",
                "74787614869085431598087891075771693546",
                "261993714015396009504592060119741079694",
                "199386713962549683339555784316954644230",
                "68814443670984719841893937054285790914",
                "57042348679903227096474581087845685605",
                "313442243497798306319422669951175511216",
                "314828733843162271965021412872540924100",
                "205635919670174680551666927051114930618",
                "278792710258993997314097547915785928358",
                "17361442578723772447403779725324848804",
                "51798218634585920688533201073479489583",
                "255612539468899081110087129343250000108",
                "30411183225784195693888239307553564822",
                "55516886633301232087421520133086614188",
                "153941928317171937803504359435237157489",
                "127301391337605040484987128968030467334",
                "71876615832546465120496922887938317419",
                "327598071463003942489473613391950646892",
                "312809209442242667440384831283714733867",
                "78119367135054534910439168873010383010",
                "195688381058826578958728478298635724878",
                "72384806100419425841225028553683357669",
                "220681001639621267536660014960720581366",
                "30225683640425994452780123811053800743",
                "146061089047399014208590646412238162573",
                "337442429371654700903123745699844070212",
                "50992747231267986419767568248131694461",
                "103541822571445862581310832857108856512",
                "325261531255710377067631976959755858612",
                "92911411101908533504419639791106429060",
                "157186431878784109411042371285035837816",
                "39984732653851545301085839076487593446",
                "191346609946482635545295030062996873941",
                "152498039309892475536108419237483178525",
                "250269338154358065355572951798303359596",
                "211273924795590117341985553258274216023",
                "260853880589794001538232664147871408987",
                "277546393791301434223337421121394172891",
                "271919102506274821097678743231174963184",
                "35873847895059755906608064583453779477",
                "294287945289166226651544558032552837044",
                "207345785241252850004194632391188523132",
                "58833093782292398565915078610285090003",
                "54263953428838397520006934973530198955",
                "49238313921996084345497791190874579609",
                "339845762520931952518596147503687498678",
                "37205447747172932703347818926280485469",
                "268072068136721712589792610797955455855",
                "59230549561600860503123884520625076499",
                "172138905771189902768020982893044956498",
                "219481391928048820108162300678062204109",
                "73909557691656622231757497706520014660",
                "130197212701853559530043816715201326926",
                "22052777170646073440419576535631115924",
                "322174767228057761672725141525807698363",
                "172396651239785813450163352433688185765",
                "172173223738833693069800328034309463575",
                "221441764128341073461210578144790191367",
                "97933810904754144185414283674897557512",
                "190541124412698871239608037953724191492",
                "512651834756242551859524277550606064",
                "244225037559352658328208786765869858163",
                "340223461802783955424707327371950506916",
                "80089207261077495399000318435232883933",
                "158655140633552017907082004240851395705",
                "251356002763784902195811183166107497718",
                "61188606078134424757636260788496583311",
                "222639907869943720227225428411278959460",
                "219203378207283707700620827424184009619",
                "100336655775028698575414899103309393485",
                "335536378159553390259781689833608321597",
                "310692966295721849737853045296898286488",
                "289430836306199210208043665181132315241",
                "287278895211765052860189215489814369766",
                "231158726734590104020169261437892661476",
                "254627110989836761762980440653387028835",
                "331782402053060544450585258909675343583",
                "100523955351537562659596637413037395581",
                "301742653968527207363523895219461669809",
                "181311978673676423041742031440913073288",
                "338872798483034036190062346138162069168",
                "222891144329773558099947392137032973869",
                "90335789643153855999554948057443986166",
                "205146649415738733929351839322944036309",
                "213419110975465103835996970162610653858",
                "116856145604567524154229773955381673891",
                "213196130187194021258071818449814443236",
                "331783284918576335248111390218916951077",
                "260594184362872844237440948379415909734",
                "155266486021376680489381609883810023026",
                "207392753429094380841014713629569974466",
                "59960921979355068217485009214676709067",
                "151667323157321610173305001852154170518",
                "83688020238398199366003056282772309811",
                "269184930762523674565491690782499492989",
                "192604451073088023730205894405330774086",
                "318880279772749257186585319159987195602",
                "129499127395873404571654144950527504582",
                "320228833283482029535737779100435991448",
                "118075096813144150689223320558154626824",
                "201508790166388260697952870436990213287",
                "121200837225328301513497093655367431517",
                "311956201912095479950589001912882086624",
                "168934797505232045969032501112249967241",
                "98780796982798756998856072096124025694",
                "185470473188115876445586225850535254502",
                "25466991454814655226458296145844643911",
                "132816315702556984449378666455765558239",
                "69931122474662052125119063133328778041",
                "158204859040451258434820896566667145614",
                "239455929675496837126678715017881321558",
                "109689060646607411956257006468050428534",
                "339900563350703805933609959394340576034",
                "338071236162682423655809843989489209469",
                "315436115440238178626168335466658518267",
                "65235366468095187540879028721470651599",
                "291506775223847195461376033673985775137",
                "37627235862413631656896166388188718222",
                "298204872130372423403453118694155746586",
                "291412894377430568007840238127206168128",
                "118503137406582636851938993924296813741",
                "313304763096334865234703994353822254758",
                "138361296344680261769726441631451648338",
                "106636718383722585954854284027427168744",
                "251976187044184881035000885479395245119",
                "164516132060387572188734462562708984822",
                "135309221677343813400165043156203940648",
                "49343944730671494604208240134212146186",
                "280272619375896671605522269394039738083",
                "285508766104147605284456851296232660189",
                "109536210407873165040634297900669579330",
                "209693290378484019981243717926356202003",
                "328372347039575808671368276633226506168",
                "136369175562278546014065215369517133267",
                "250554735566447732027272488272243297505",
                "150527542746041330090421553869945881509",
                "174680606448559173409579911915188122774",
                "124724242256391841134951284651238829884",
                "233653766928111495507074737168897935611",
                "78309598454148981696577260238653764227",
                "184670736414546458700379825149956001836",
                "48282666378432144735369763080510261206",
                "114299780895666828940380876757216522515",
                "147467050658073458391325735894954255614",
                "74463687424974536484245694924600823745",
                "68634156197267042348415072669091017516",
                "293131298342808574752415619708611501337",
                "286647136701743256289338045808030060142",
                "332589760241226376471552041348574644577",
                "65954445903188113234258981470772844117",
                "144945118550998301072615536711741199149",
                "62791447312831719018629543710343844900",
                "132140379788922267773145022478201735508",
                "199760381761420865341771581851663359818",
                "84292304414155012853496032808074223494",
                "55644655135437943389516981196052662273",
                "127996416976458409533371852518243976118",
                "228384764105007376887932007326034577512",
                "42043179544707400929850241193584428237",
                "69789343988533019140895893549797176178",
                "24775952271330293343962425264541891016",
                "150367671339402749113508161902601441384",
                "252000580351498189096071249986822158114",
                "313673353420367774446527151539327078463",
                "141828936765460168488966855947567470606",
                "29431170222455655653887523394072201518",
                "223673084444472699860979570821385014161",
                "311612179094858602084219042585984146709",
                "291987527745239561949496612796839954965",
                "126701811268471704490813374494622345461",
                "302561983938460012095091896470259972164",
                "173535951728672712581997742635528225411",
                "140077167589399855351377298996472604936",
                "130576036867339343458016091387895421338",
                "187252668189928094443374197035289327913",
                "85662544043922596491531896766474244001",
                "267426907437100083978797757095938310270",
                "262186619550579668399664808877159071015",
                "314643623172776327010895631512687418509",
                "97356683866005682287388864079403221520",
                "316536361015962113758518408163718998119",
                "332799009585833173512051941734012093042",
                "339533670774371924547663522811965114956",
                "179213704850346909886838968202100013162",
                "72941264059755010938189814687953974030",
                "113182367169799734860740654676246918883",
                "95147781816237747829190961094456011127",
                "32383807663650433818754999886734686516",
                "97117828141489780851304107122504878424",
                "101165337101434648565700604798720208984",
                "312551000555442221578637471149582317976",
                "22037288882409534961126911064681927087",
                "118684829983069692545574643042382619368",
                "324469280497761780134425283203456842446",
                "331971849643592518635563089143691823463",
                "302319453515651987344787304156038472034",
                "340170515034300247695280282947199566777",
                "222250425761976982991470493874309305700",
                "13158012168068305603670046044995788973",
                "2511559914393028701607199822281572449",
                "20337649904836302857788065675885122492",
                "320700252255269766735533503518428406101",
                "148269842322574272618478689213398875570",
                "64890711134219039266141625578215596421",
                "143144116741696371772528360006978976160",
                "180106488899392847372142818205467347977",
                "96564138349831094955727689402341820410",
                "14417960456771980077124911797937046552",
                "291280406559865660318430364248574470863",
                "242008862411130363912346972757699356708",
                "307203869393651445240915963985053091866",
                "152563735831767280114339868910965857372",
                "73478727834429104535035204405993737520",
                "171205818206227464736927250306391373407",
                "16596447293602629939877406111956326094",
                "40300359162595544512072779108219287744",
                "321291235241042530235547305692429975788",
                "161385846630972778176767335390245601110",
                "282265477295014479235305914295677347739",
                "172825036450712233704926463060237044686",
                "31308802770379316939573520199391643865",
                "339919481216857079211207294312774538667",
                "121178836205922635902202614357066876467",
                "222617605825326293383017930419756643698",
                "98918485777450119210847140881300971138",
                "16138568828724270644745790868125274797",
                "299706151109464879738721054981334947700",
                "88105798835249723154898389938156135934",
                "3922023611032489343686776981482842038",
                "184797416259245981669982730324360974027",
                "287609452283233427494517865286769922787",
                "170143129562319424415481397603889618288",
                "179998764014539278657742464775450214741",
                "52716584902519048903562847586881052881",
                "232853080073597903024161857338063157582",
                "147475604773802129325419378317565237126",
                "167190304113980538322429745562081560358",
                "62374519902065611658335652990938476408",
                "337399146579987511149918978760576264222",
                "139853655846787009467634320817291809721",
                "132344806176808740030693136954466795781",
                "198701957613727111876529212510588032806",
                "155837430687654481483618792322125734602",
                "217594074989530207984761892064841528518",
                "261110932855603173685104229845954461134",
                "38137285934951550336955893771303877485",
                "112353793345497786597508972164800916155",
                "242453359766862267298576439448669341055",
                "111369007624621177253878904621314458131",
                "196969576634668573207358432396400351048",
                "231489432068501319097846825569595715051",
                "203941311588368724780348114043462613964",
                "123084518723917550194257824245694977842",
                "88335763681472890809169771013271087506",
                "203649357859883509055101554381560773119",
                "283282278946512650729853433353802322876",
                "236775597660398892524004629170625967494",
                "278460665701526814300311769378493526417",
                "197519357160269266649285665288645587466",
                "16361623507369515130146900752607738042",
                "25844889008241086782160163699104862920",
                "62114064739942791380917089159440585210",
                "304142528049610516794362027547742555897",
                "235067441016388151012318699590914162843",
                "181694554110663214505911774763250091332",
                "196685637622607787879762094768226905188",
                "32576710257087949875745794702517357463",
                "93932679824473843142106933701663855723",
                "272347353567558149333259715367033447205",
                "207461843786435992499731630226619805812",
                "49121853980325791159302515831526975342",
                "59651529818097766700863528555485254364",
                "331711083125626238114225029811972321362",
                "50768578057451680413374685208836509687",
                "273242863152981297834663670654309919604",
                "269233197515219459449948811969998035985",
                "119261330674178297802015245265100313587",
                "10583917949766517509927755417912954418",
                "280244507126958360478715962763978571643",
                "249044316442326310757195725018478719436",
                "237623153593461213270718004638902460965",
                "314513206356465377993617127167753747524",
                "52716996304365043259684981297049937007",
                "70710384119700469882667000838020832297",
                "221140153305574298936140967335679758594",
                "301180769012980824478020835097821564591",
                "26375966756712478360654316848206092144",
                "205856682683131501765367303496635109690",
                "103624775728179912065698062903258907618",
                "207646045797134876224680664583798597724",
                "35614891086281467132454956770445924511",
                "263976730986728353393080008990534496679",
                "338608165889749557559435206590173903012",
                "150900082956090101863341759266364901686",
                "149982068909290118722114843637407522317",
                "280120604093132280948357808673089604942",
                "289139303286291813836071772480953328452",
                "183382923755762806280242592706534311797",
                "67069786122918022416673584984914899429",
                "254080942676500087481293454090238213553",
                "150681334044347826528224319463297392622",
                "4847263356540812020327598692946654756",
                "275285212767644849492858225115715926580",
                "99317132654213466629651751604817059201",
                "33479123843042637345232587276598390133",
                "261024691783931070155068199617853845869",
                "99207412461361360902340992095585114729",
                "244084603930486734478731067305669057360",
                "115657845494624108617616372735734806771",
                "205408485232348279218558309895021000618",
                "25976915852519832429536401628544803323",
                "96704519236937375987204665791395499103",
                "151489536866123214487965208764007433064",
                "55006816559708109457327194753229348428",
                "27579678886168137227932508480101420094",
                "310742955066823649577645733731399312126",
                "131050122203993475041744249065536519038",
                "303414228439005269277675694453500634550",
                "176862640786284782920893605627671357143",
                "259069372011019261959842407455153290329",
                "67359384911185082711426962783035983084",
                "16442080977438334629351521473270086989",
                "112619032481766156545894202307743694722",
                "130070317891783343128153037897233206040",
                "15819664133192487645961476585430794224",
                "66447226435282689613008606547848363963",
                "339912428389228633830528749857938685197",
                "241826171228540488325622542330662067301",
                "285710147536038957951132176842847090866",
                "64522450411146827086462434183437644186",
                "193527123568051820677779728263379606697",
                "166291607314558009912817829569059464637",
                "217343029688356176058994433142850266954",
                "290373774786228241788627259130640990780",
                "182792553472833251449452496934694116647",
                "188851551945226782041996438140399106893",
                "3502021916481872517839691536340915456",
                "109249786848527507694269599323940387037",
                "318503869287064269791886490962020838715",
                "127514234386403974717937096330101931970",
                "182600249598711062970447907586548925155",
                "180165442114311760979656034026196745059",
                "143904914152450594987705233936037270285",
                "339071423478142956923184529594412591410",
                "29479032274153733119135293441228320708",
                "197314536524069882517264012900759017976",
                "142713211654308441518636127716385431122",
                "288573164849976919664394572843144371365",
                "278489902597742040596222357485887059371",
                "334005516989731580586188430360852749348",
                "14760183384411419692120028617220015613",
                "82910462946622570289712612145750006418",
                "53780971309250266155886613714030582212",
                "124805880321674453785400269280310131413",
                "261109106917105935410436094039078634062",
                "66849518575148539507320240598311320120",
                "55969845814290044068087903140096735297",
                "293938725310596199416637637603610187185",
                "232764452244879123179847256254110122718",
                "163433701378735349531148976653217415284",
                "119492046797692149896348351545738383038",
                "238940194822410992985849033569020994055",
                "125926309694919773329084922475096453805",
                "11417801607711927835273076037771443050",
                "311059834858671383266911633556764303390",
                "293355237672205979312617707264612704177",
                "104145368883670236267454021577030952449",
                "66711132715193028252751327259610795927",
                "117004894923793430855887902709328030331",
                "194698729354844425879013195019170522668",
                "183629603701773478965649795550072773163",
                "271723065545997033624456549052801531983",
                "307550155818658135219795596538806572136",
                "146122753095793844771477649280483710187",
                "170504137075550568271795829351986993197",
                "169402794964835076374188349021333038628",
                "718684028137916153109034822286967386",
                "287443493439243656618260100728626200885",
                "270045359366186464755679686410015771725",
                "213076243078483596014613492918813650887",
                "65642955387336406099036732333543091860",
                "110772011011783087367569459517590884658",
                "317136571170062577846876536910013745154",
                "208313198370315665384598856511758233807",
                "331727903583493492146207994820067560624",
                "285071301005359251759041672049581069124",
                "237694251212698684665393521876996436297",
                "252684532076851653618643144274736143697",
                "56656420650218706198435875652018520453",
                "253712970602162391712580812191644026469",
                "294963590292208249051333230193667504983",
                "77477310914491798593552641549482809575",
                "258441126648349588086307941590456828271",
                "107190046335470417277039887550938925459",
                "44530198165319986110572948697575543121",
                "273029703912236128257426884483198248184",
                "143496161794268265850981713843937744012",
                "33004252051219060100972779902338545197",
                "287991852653086810306302418072811078279",
                "182194414736494468313775124923342601416",
                "135596745013278797323241197003494674156",
                "192584783682749299550185982653719833984",
                "234522221062293316223520049905289603323",
                "2709286169515603521365102382980244389",
                "236004368535799883942102888067076505910",
                "16659645850901547434766475459102298751",
                "191560605196755255963987190541503388191",
                "116057618471415074903941900201418518937",
                "92044239155638965701327933963661309180",
                "231153481257767373039193544271706875721",
                "180798467648407684857762735825027037623",
                "168953353550565453327294740128077978647",
                "56044640714907985266445844326079731182",
                "64632379231570223994808614285797713433",
                "235736298230245173332018360373544066222",
                "217541840570625973252067853848815006709",
                "338817913554395109442577388182652456772",
                "138508812308125203987002631565418502653",
                "151993042870302822939618716010588555818",
                "293017850851102905186960917898087977813",
                "141291833349040131594854605981010421083",
                "256684960896971372620367736285721420353",
                "329525198929242705022470175973595990586",
                "229534055125835765853587774291414088682",
                "228333968353830757117205868944233595057",
                "291229062440254336568640390669388528796",
                "38859462742136635866881515123727554402",
                "147586032828116780429612938635106049771",
                "86029565423319168220051031093997564411",
                "144907938343103187103815878756596511858",
                "162942736199358921894284812322852231382",
                "57675836240193379110261528966352021957",
                "289414592396494603978519954845531105194",
                "278855967374925873953342409936351282541",
                "182294689169391738003968809600992235618",
                "222906024911494931851265344801118058048",
                "174414687093814232827349182355437318747",
                "27862776528591290355314935723127808806",
                "262238954295325619180131283853512592691",
                "230442246802758383780216361121977721854",
                "231762455573049434539571433604481070797",
                "290340563377781192886411218740943121149",
                "285324200040305034990293666977143475625",
                "168016230381571655934388587166926392131",
                "127045314869626133683171034222816151912",
                "189108507259305392432949297455427711224",
                "200246948770812839036363873560429781553",
                "262315061580065628496817200275622749381",
                "201468825411910957825348497936226368339",
                "4966979706585321037646531337779152616",
                "232837685289595231171790701504552380601",
                "195513919612910858490390848841360082998",
                "20292274152327759724180878635841027668",
                "20440935130198702555158306099467571314",
                "193447324003644667311044967062715323509",
                "312451292213982475627543231418538746208",
                "236131681904172070350348236631719175523",
                "210574691543663009790903775454496192405",
                "273280261096379911423931362539650766889",
                "51915631557653692565876306318345059476",
                "282831001573110412299174416429401164737",
                "59787634672216694807349529189805741381",
                "50838090090293786898867408357860505950",
                "133904123115178876968889301729907699713",
                "74557248145555841940167379497639430405",
                "301308796915432904346579909214064491444",
                "237617075051698852080903866093052802708",
                "68468279888738859576576814002390232066",
                "245207468642976745777103459233723063427",
                "141718468973843199656196022178479908448",
                "191652616337734314690474213322120783052",
                "276902367831591646042787035743436906618",
                "181247678246335151061998780954406455667",
                "18023161021937477387577627397728618204",
                "294982554226821650988431001938555864572",
                "300049305167758587867633083057996219853",
                "7394750508246079102706671547185325412",
                "44552100412978517949092939923404526335",
                "49400348234999458972221384531681097344",
                "235970906962172585306334623227813880196",
                "54616628132525681658033463035962679546",
                "216876864934184571173265692441514158401",
                "59154038899940542055223909749744474014",
                "234543510871017697228484932558934557021",
                "199327823980107440766144978548188391009",
                "31663680348728580632515756636358684737",
                "82224716893187717384267135938664561873",
                "223476601746849988514081830702004805518",
                "195504688481467103604109871107302671015",
                "46747495795958736437243415671766647361",
                "246819911228276079833406874308255285069",
                "171942277684152070673194484217071203776",
                "237596809425072516566169627542188100278",
                "11416514646629567871421486871284947970",
                "69546261820676960906465075438064269579",
                "200563999502752765017340372619983004815",
                "55614835660644405756868668147140738917",
                "209751407259760430867018134760909929783",
                "71733357279713787734924281545821656234",
                "38896229436874645536977039810786596786",
                "112480603357896086894048658266573961949",
                "228497755589850659658245976623492556033",
                "134180941127990411287940728901069796861",
                "188469362372945225992724322781065020057",
                "214824236321299391144450536124860437429",
                "40183184779700205489095032931048377275",
                "199128676204385044522009515697457124779",
                "57410264618873653499000438058463040698",
                "302891399961161322380977153296820517983",
                "330850775875443721808340011039522559099",
                "198351102158264312192540068101842986352",
                "198926169931574882622658337693485600238",
                "123526839198628396194514720749969069221",
                "121133909828746626320933470533495423395",
                "159201219503852986584736230511935052506",
                "129518379917487861552961563173694309936",
                "258065051600264739153388307973908739286",
                "324206729778425262214176904804051364880",
                "23526718728929304686261320946799028440",
                "3062262001462199391862433213443162103",
                "62839819075527471123501586376379730629",
                "166604524772411402909653738968678681515",
                "286520739197596053861970501822574878352",
                "33900944757456463559406855067376826891",
                "47348744225921799711880908537498975579",
                "77725662298612753107457417840169082952",
                "128155613973866817841742642931367998581",
                "30407181441578753242008576739999476692",
                "153520880693479361696967338241054227676",
                "186622047541431546319822811995721607004",
                "218034477868972700906511125322155659528",
                "177571453178824333896652586385479542936",
                "128178107447342051807225686347195355218",
                "108249303431748600269003430308302816982",
                "139860976426345641710883925976960206602",
                "27022349650717809591511524308816978883",
                "162937544364994607965275010191549420602",
                "90689568225710715994046467870056148314",
                "311942511553174553861194701391492740355",
                "319561971806353083707408198328539419936",
                "18524955218673343984918913921179324223",
                "335481391808707979278622123193959939919",
                "51664037614452913528059745960104233677",
                "134174393790572284163028232363907565856",
                "327092339665339754301325128385700184201",
                "110543144561902749193446506141154587829",
                "179658588353564029021501243645264013631",
                "93769938051496303859376218459054830252",
                "296133832769587973148854320804646960402",
                "137205885365089097295675069507653888289",
                "170932190942496519164896441222736108747",
                "232147266433695187081782096661564049173",
                "92926879683109808913581350709549110879",
                "150725243129433569533326773958042579539",
                "15972950617382800704711356082316428810",
                "192695003146816581777153441041885877412",
                "21623761182610011370824771368509344236",
                "288071613603159285704107693132919362621",
                "285950336506910686145768802471766751712",
                "125255826648305926407045396273092819112",
                "234626567242455788988548565665307113727",
                "216062965660690745525670160810364066417",
                "327990806885096584063223896310922275735",
                "335138459991939138128885967106195174671",
                "42447961265654037124013382779012289082",
                "311842513671515510990433239407445991584",
                "251482341265697077475550949787498388931",
                "167036083270756706032822394899593829809",
                "225588019874223555130450992864929766298",
                "53031083986413321087601421717105672335",
                "275984433956252990961333508956107625694",
                "195448049142834176841401014952937479290",
                "181257601975437437011049413730889232659",
                "102934882464056072452406101018892179199",
                "231954642979700287802434150248026312149",
                "118713355694574386844253166883216959461",
                "121617179652812977806673426018574263102",
                "242698000995283660771312649942544458715",
                "76115496733072063082080238875235238558",
                "159789604958981536719399688668505774438",
                "42583214233559738281467221625129814555",
                "210069188948565418455613792153565507561",
                "299225633280962813758709645008264732621",
                "298619382534634470705435804906874021566",
                "117485839072280956269839182599081290684",
                "336531318072770250820467748622976099412",
                "306977545125382634527228796255800045727",
                "325822080525305483196894913004441504022",
                "132140892773133065692543705878092707526",
                "319312910669601741553706117283575335572",
                "79083878558112232262156900791981282381",
                "180206108083862294444213911842607591625",
                "170399657246036747436477546076406900820",
                "165732384805029030631170164013746549509",
                "122550263086367810472276603209584843666",
                "225204839918983686290183412841161142614",
                "305165941029571662556099800772035247037",
                "254670582337123298608715564280917692632",
                "328121393092659043542693162813388353857",
                "212991636792672892586497988456351061008",
                "147380129782758756068324966908454688927",
                "295922940582281506824385919574125857297",
                "210141447558009888592301626504496377468",
                "12422759771292237374658698087539527542",
                "339519183606191187695820101133617647546",
                "281655954389789868249108257313265935235",
                "94444819566836910703755940644975514409",
                "4175419674063254351975055332577597135",
                "62703251757657548649836814339462044358",
                "254462210183490435664351379498977985138",
                "38397181100441455591286552657629773185",
                "148653066485263891919113805323965281852",
                "327849380457011765773973446945903375256",
                "205882671495657990076517585970401911865",
                "263677950233466006847524510508980169560",
                "24384945556345528214556428840231149784",
                "80398045758786427985177246395291957725",
                "107542745279754948906025890693012103201",
                "222450725008220535122695240969872218162",
                "228303344320950045821780236336343162874",
                "86272171861647277275260782929413779015",
                "323435714847139062138987156614253234525",
                "334289219856205075002714964271298486310",
                "102699281962329197424672273037072478048",
                "104679163542504416494298349521041042710",
                "197755516940244750834592808911078976275",
                "233346948321845551729158029539483237634",
                "17035642777344181510276805711504053268",
                "210282675657645954587597309739628101078",
                "251989590288839869883976015014768732114",
                "142862679218694744065088326319586403339",
                "339198515167037835236902362420178006097",
                "197585986407879637700281698643414216401",
                "34890125756143805177987444402006970321",
                "312393586523778840746888834464059117308",
                "8550885048966728688704643836217282734",
                "314859903425059060078658541735354926670",
                "310745303943428530894354011325279604334",
                "196184707960839466912742538016840680198",
                "88088505656861168285121001849733426028",
                "108442846590169108175215021777975312496",
                "174438108777356815343476888061404939305",
                "215622820799413306282523235817625409320",
                "79307871913037557127638798685777434662",
                "296296386661942686509831116747183759889",
                "52683070300723117027399739567267222973",
                "58994912903867427913713182674154403845",
                "116197758419622896627288100445155819727",
                "271710101210922206412211817341899587448",
                "56596507998740823229270632229069226049",
                "112409174384218521438247369646128131001",
                "202994651023114449202179857119041127084",
                "195117593420072101996491402031937810430",
                "213738124605464233172804718051843112846",
                "332664362099649964276945378536346745093",
                "77932039793054100111046575800258018658",
                "18802063232578996056084135678040458924",
                "338506177482832609558097306862164873377",
                "87205110322005517091242099758690708730",
                "43901201676096755221055152728466650826",
                "165733816333540782288928373190666297089",
                "134260704971498183305085133714594529809",
                "299977926345612795222008897215046965481",
                "51754280822172633288806860314270988591",
                "244093271175031142044711298820656252107",
                "75126759036185903911755422730459435443",
                "214721390779723677009011231523931128974",
                "290506551931271250565112998739313546839",
                "236172377092235080015127547911316751630",
                "272919827846773638077086795989205858671",
                "89543060829500728816229008584703527825",
                "69661991038818877830546366701341397426",
                "270651403749755657350133638835232395748",
                "156235186236760866277221065748680376294",
                "171152407638650342201766277690360471930",
                "151218251897470137062296048729471603601",
                "307674631102720455827628171616824629558",
                "123752551407460410935863235929647818477",
                "74212713246871257231142723599355387483",
                "215060986541047248157935797250290566974",
                "305464457755812020585659893782890666786",
                "223561355285165177638185437012687155194",
                "232044506598152820267441041003872139032",
                "39674291398529695947980689512130049991",
                "177750496403520500098116686443158540581",
                "184953854980585628503313537542085336589",
                "299937373914287562285450950329216326418",
                "223317295891972333420537075879086239748",
                "239709989875691871264835202846703995279",
                "180244716053000323950363804214429124329",
                "229683332822843419628241588069546809027",
                "105087400609371247237145367965108826149",
                "159416184293684601851729127925676762174",
                "58851487862829947085322757318529947247",
                "127187375364840598425961344324484680313",
                "96897377609719638358658955743825759047",
                "316938128736253571249246500096940786568",
                "208928630696426811731346764809286572270",
                "164913988010747990488876643208473311620",
                "141417112182980870470354431708608015407",
                "311421054143454262667621167781087506490",
                "229027133931356425635382359724425308662",
                "224889978583452635004077147562656444039",
                "124609025221178483655545747899185524880",
                "174760452216014628044530430759590734218",
                "297614732387811125526570266435394277295",
                "170476461426263687457975724442539741046",
                "286601666899098278635856659064443936470",
                "314175955314457227189660681287472164284",
                "60744322014875835390957285561861113070",
                "113185022177382353715398825689287589889",
                "257610061500663586308623378856971284005",
                "294055452890638407972945848975708587547",
                "336331280525657968773668338623215153471",
                "72681306364675977261501526811453405249",
                "252008425185230921262713327205823314810",
                "173815413269273321993268262950246081431",
                "295422328232025251652276075317754488765",
                "248006399517149031264170994311210675544",
                "20445539356061702707732080020056716565",
                "61078403583028971031584340541517622852",
                "41966826961213087940620787373749995783",
                "332677435451227577801106406556671353271",
                "115896836823734419011644057006376549120",
                "48595360227344223531444887960029945028",
                "13446262315429286639846259304332514042",
                "37103046224258290311248221406424284870",
                "222223390981940570507174950384945545393",
                "25263273694394544128188269768398451925",
                "294903927752114737259930592979980450254",
                "312330576067669959345380697096185987067",
                "263628452857240990888394893284356658680",
                "174587873423443797871043780322612105197",
                "51787461126482884627838687546843425060",
                "139161594639051830802565624302645658606",
                "70567428159833388304989047405764944737",
                "149900087752008681301738223909189961138",
                "172326132939611790298691069343488024115",
                "260751476052084609824113799477223260663",
                "31577604244192137975068052277989632048",
                "206847420971783917532368217140512579468",
                "200953821725759380508852235345834982834",
                "115037249916574004600870090994876914524",
                "336858712491943312143571955308585693452",
                "73461761778948294922842663786835412299",
                "181110336454222667775992970402061755321",
                "15045710894856409462384155974667350340",
                "134658848624069153309811018485349216746",
                "290245925157321951960215858399774715928",
                "219071772139186196022679959035273768282",
                "327496849795054717619606556715147253827",
                "53165962520239794837424118792406696671",
                "179667577085490082403103216258563381873",
                "109743433236829105874641221332957331396",
                "205249722105393137365997481351225425254",
                "14357658017728894243433464814130900552",
                "7391773158570198760071368349616637532",
                "216970086349208952780283237266058688885",
                "139233594961232917823386294402033177063",
                "256015404648673218996242446904978612589",
                "152685883141105838042553228611411447778",
                "276251860569348920837678164188067937673",
                "127326635560290233750592533442015087397",
                "313480298725684376622937376983257455267",
                "101377326088260755208701031929403260877",
                "250848575412283555316072645179251012894",
                "26970108885592971579266357451054881870",
                "316233525739482987720680446819718304819",
                "160824799797636490936698085187468335911",
                "304388324065135935679231695897075225250",
                "124534513821107869112315925218916675956",
                "223319560639232912556172211155619966211",
                "74822470402183753725815285704750784124",
                "1172293945617761412977217770239342749",
                "317892164873149055131760131584082553721",
                "172437517101949629796825508630806638447",
                "87542863560863097975260988981320637122",
                "239570067940083263613077875791100812226",
                "158698389149115433925326877872473013481",
                "273321197195422858058524479361150082048",
                "144654501430328370175004328026995346653",
                "234778060774612088687037221711139738911",
                "79940711422519527294067993840774906210",
                "110427012605923786917565328346480615567",
                "150670184243994181876494104429986695307",
                "25634995771820249953613975065837682592",
                "288040429646556722669954897803265513111",
                "308235963253330854586649649147365960284",
                "329584859734029755794951138766365081303",
                "22979583859637365407758104929026372904",
                "332426292559697098595519253187021011859",
                "286345443877541325729549456761030210510",
                "274013952901632123259994096109762967736",
                "14354734415219350769696794937426014160",
                "323535268843651582537338771344470666669",
                "249427370809601057112208738681738588351",
                "39304571598948130325063702956183573943",
                "96347852354129905599960618064321038454",
                "86078899600101282250879280775523385372",
                "32284334181245110323341970124646823966",
                "269309892523190772133491365007951359990",
                "256787693330113611813317058169755637956",
                "306574658758380811437046240515375355260",
                "156605444739891667356962590465225574174",
                "54848524205083835066470119629442699863",
                "110635301009837155951197885947003582060",
                "228525181200377493942104037316983446670",
                "139673447015783634719212186403685503822",
                "328025340940687073067370225288229700363",
                "183022193606802667095977447052762862581",
                "115388423857396659004220707111649747265",
                "304917323328501367074467139526024671070",
                "17796465990350641212625012858051344007",
                "299142676463874833121651826404349551090",
                "229397772591941354748157882699449971342",
                "184326221245845838465892140061103932724",
                "63579136298946091536650051876313333301",
                "332764370742308237765217441829170741292",
                "315111863392937103457344981888635170648",
                "152903337223174914269203036443745864155",
                "330606788033358179804953815035322790772",
                "167775603994181875857589331849622217034",
                "159693599601252885461584094568885145334",
                "322593757154737976322574803193717444383",
                "199228601554797185921410719255593996459",
                "174385374392162196305870116179573060554",
                "79027920787460584925112467143553923454",
                "83588026222115614855354073559914293995",
                "321257210932554337623431571152363885721",
                "99235694637936000021523432008098060201",
                "83702860274588107765984914400544348234",
                "18620454036236289089466883355112747925",
                "321011222926005457142318548760264703731",
                "217983412225771511657286095445341099584",
                "134698461566154291350765309214312969392",
                "31867061304875798563310041317368144993",
                "204359289235663830393650728925434834583",
                "86299774404109241912809753501273339018",
                "284747657823675775435906120926334522809",
                "85587761582555209709545259396749332209",
                "261734403577725951165781603420138932158",
                "246161914985338240323742777159635713001",
                "33557562655947257964896868608571796763",
                "79161895382858970932328249754345855493",
                "127235479808045987455163106541738632349",
                "262284090967048969063477262283504695323",
                "66986718081609172807729320489303230745",
                "159568195151879835029515905321234009199",
                "88815956872800624497800212086341128333",
                "291959868565589820055542104473269717965",
                "24437237454168988124946456778287052698",
                "178989982085979087737693969075922822856",
                "313894469734049046088457737170193292729",
                "95069269709886667354813905524778038970",
                "81679130713628222331284918965494756233",
                "66962429927055729006551973988013134986",
                "151104250338932173012430577946538228698",
                "25732547513942769077445378816174536386",
                "133984100458610722490706462605543727536",
                "10546050329710108310049966324513327670",
                "233157426049452765590633182644018087229",
                "259750250499254985994390159045579686610",
                "171819039305252733304041606959070928016",
                "258562162822537460611659083775176547494",
                "5405860190406321239402459971776907002",
                "32381774111866921491470655218516714510",
                "131327012774353947023371251737027653186",
                "255596510558913945960393285267111113996",
                "110723776453156269219178624962919383596",
                "228080121539029740941053154441392369683",
                "240952851932956623842019295809249372416",
                "188106648401613586606004920625385393950",
                "305097958126395497874679308740246084740",
                "51153180668652464221306114826980647284",
                "124944078998884106786381054371520874704",
                "311498683845194651793641750983351530124",
                "242445388293602603027977147045472633899",
                "143606437694416405182956342364925264072",
                "120538136664398270303433607276089127498",
                "11530361640188813051628724008191315870",
                "81882694788976910747401227714121405434",
                "236742441955772381166873069513083004666",
                "33009336815740493717307164492312815357",
                "286127086928900560638939178167751070843",
                "190550463021722575576227114385615439247",
                "85621393171199763349424648659138898060",
                "283853579384439409511408772020480201387",
                "261857701438253152280356902714713309345",
                "42506850301351882523134644987166729184",
                "59200366602353256558569051723357882506",
                "141706863044729393633757815332133727693",
                "219675964510604430897429835169017425298",
                "79620167303831704364736577493690933586",
                "87233008090781890691856683267818312980",
                "255120120529478715166833972488032323733",
                "213412738716581388972248595593420807424",
                "269598594833652357967105498505232314123",
                "186572338239560061640832620983527428299",
                "305561095893920562751443225223155009533",
                "125765473498036306724647976761021091996",
                "120262553421716222471101624823285925872",
                "113490074365235216866380341929606597212",
                "214829521052728509015781419930236699483",
                "100715962606142466349681585507868287741",
                "308048105065988379166931677585557088996",
                "234381928832040813927567581640141897901",
                "136042337333883237607856962200832408058",
                "194519773264753796543295884953248729993",
                "198993808409212062578423562738770743778",
                "230269654702618496233637064459901474605",
                "262416319636387683087688274467512296227",
                "293304035905588716866609882514590626517",
                "303600988826789325481572718106069338929",
                "258851659241649302382792021987253896093",
                "219623993550416635004692936330506054997",
                "42970655331097825050133585774451713942",
                "246704754656036820659688341880187684048",
                "69944893817679622603269434378460013317",
                "305172928236489058458085592234808566787",
                "172522700443587224645729376891483026254",
                "228110406797928541822616824065169722451",
                "207805535169684408523975704653350082631",
                "104516297791211691063185885350063557824",
                "146225775368873979780787301450980728274",
                "236600453209881323995215489249615129531",
                "81985389009501464605746591162820008922",
                "76979925380040316838434540985223694299",
                "309312861692530322890202771987115902431",
                "224698409148118406247440253719595159283",
                "278687802562170202650415935926044313903",
                "182661856319237840189583995162253633203",
                "69020255301816083816617286975951537585",
                "130327160390340353594085143857375583109",
                "124652909321675539122021205112167309820",
                "65584527509100046540344970492245863478",
                "116411286798258249600849963680830332380",
                "255589612322315871325764310223397581759",
                "243898861748282775312608028302970390658",
                "228747181086823528590016255686700375549",
                "84108658154464148414187565666794223141",
                "313468916506315518067229006038794077430",
                "328167008033774235228004539499291792714",
                "23317124099971042595890506865796990710",
                "210834121842384537109530168419222229415",
                "49321600230318532663878998591594707524",
                "55314516492443223347299924843017763955",
                "176674022536486238705787842510581080547",
                "326318244932028322163550800850858505138",
                "123321772070105186630484157853667606275",
                "1408246680255269094009150024450013584",
                "244823478248560380257752948762160755785",
                "125019531179355382098816687032690087859",
                "138652992153458923945114582549158246799",
                "223286188762674492575816526326373903436",
                "288492982551643800176411626482061472788",
                "179513926887639643917111498298484760051",
                "260319563472990372498945182406701180878",
                "72955084202479484359135007101478281635",
                "271099300759172644248099601867101493175",
                "69443316403914671487173648427096014899",
                "88908950878761243311409798075798860222",
                "260588585381351274828253872008095289904",
                "236577158052395083853804542209917006875",
                "167736204142837270693928057999919933371",
                "128949859543948070479055023264870262191",
                "199547986863969088651570459157783568496",
                "312822334771374879729905742546269546219",
                "324199465586570375334483055643349996768",
                "321585011342515841006663309204811648659",
                "1857354998119996697519665279166353686",
                "248575043932932534700762327228334691419",
                "245664787339822915981415609246625776441",
                "180387334957953915386984762063383787039",
                "261443527048431485406984102193816831459",
                "257037440455342752905002962285785825257",
                "260280468113236749276318177145768193770",
                "213555006703961462468419024901429050267",
                "33012963228505459385417192941588216576",
                "216669239964941070996882028148762943048",
                "101212584255981799280982714707021174495",
                "1944535046748114947194944233497029327",
                "293027938998140601009111169257956710712",
                "129590514783765807510977694533590131033",
                "334563107331131696238602300027923120855",
                "35654076365117720508875472414071753574",
                "31107873454023086076771559490199560895",
                "265153122247272714042066737914984980145",
                "234069182022795897284998917346865365234",
                "79835642713269086876414950925958482809",
                "141168379100225546954153184003228938030",
                "256599470032913847962614951303598819356",
                "145098383610793984434865431470949438030",
                "40257688055003874976841239776116151330",
                "141747570252090656361835055112647625559",
                "93629852919800814743664364972552789114",
                "27117965367192038407513356922093732683",
                "190072734336052076757891388975249468088",
                "35724152914175552114764342747896642262",
                "329375519256468528434734448469699987789",
                "182895194132184749737686017240796744399",
                "315028349530004588739721388719624181100",
                "254431118223050557287992656183588693512",
                "174735699408378264683427467943077430221",
                "63872877671828716783829501040575102890",
                "238335021311088155133310547037274463017",
                "197324989381220772363990639072678166018",
                "165224587799152229275516649235943822702",
                "62168975841605852821124536945989741385",
                "167125261818924158686085666189397577394",
                "12504177622849029451740744697940688484",
                "160828862445376429355228421287643429580",
                "102684933967442082772798155861266463586",
                "151220622356347889880771783474847439597",
                "172826722455061601420816798809793880834",
                "260925329334215384496847525632706659301",
                "271707165432021514647983028340836914483",
                "191966831095845417536504694856505637928",
                "201397869993982851357324505246757467384",
                "147993419197074160818523976267284484939",
                "139731341675179613430676995645216262753",
                "146554719813702111912142352106854213172",
                "325112245414416511100070782494103286889",
                "204453538479764591207968146292948003670",
                "24541444659512675799340107859400037738",
                "119673258147555060372668930827511972901",
                "213430894247691529885873907939333410934",
                "26380581405748308447342468309135550443",
                "165661900463608882577386587614051868647",
                "171887049497373443532365425876671419311",
                "181250630024113823805611155798757521138",
                "186333395938622782803120921585832950037",
                "43800493975008761147500526294885404634",
                "42008182602765154454404875406752930100",
                "124088174841733675353422932264176400943",
                "328783687805679287298859140213103024375",
                "83977862762830597077367689283801488298",
                "285645589496805032877811016211873774481",
                "276863667778548768528061106313172673582",
                "48090063640970994714346494555043565254",
                "301099249629592188711566603859104157101",
                "87666956406411988015509348517747203369",
                "58958832775611931376974292112707396455",
                "27513918365495728793255510046308357548",
                "121264077849646473661152294977435507814",
                "43541113964681202480908110113800672308",
                "327357231473381949970971817820566112320",
                "204166211933896260593079702976702870279",
                "152565070550943803411331621635585350410",
                "13215392427066985636220495560784569244",
                "48653217268960315773621472817385419754",
                "41664227564056469792863975166729003066",
                "339840332761407452730228459251180341700",
                "171356871771244515806834718210993603730",
                "17806195556005930463684730895145957825",
                "203176181511288363426571346687405645819",
                "102471813272244794514411691903689637710",
                "167242491351398720495607234155492877604",
                "42328820503465084931936842419291197447",
                "172021701441972579254010184464972851558",
                "242624107411398154044905845014707873536",
                "2526386353850438939068773993921191932",
                "165992509620393200902432977884871126844",
                "312356915322926229966670088491964706594",
                "144963335526841915796048662478976763631",
                "80054453166623802610431348270915997573",
                "50232758432118353610195434519670658384",
                "39118986721138269134577342583799857295",
                "314801596069242346791074723991534023527",
                "340241166512215966298042557722746992619",
                "338566641350388784931748071459600909134",
                "15241155166551664640738679049482928503",
                "185576019167614658763773341759942798435",
                "324124310800799899410095770421126743716",
                "209710035059909413629605292925888694576",
                "198019911028014174089318745309028184684",
                "85976796398278169766544015780258542514",
                "94711227403013960561411746489711420992",
                "187907566767596143521289703876985266759",
                "194424047348565783102567532689887112178",
                "104921277885528578888709303419756670949",
                "193809253788059780611278398076942377428",
                "297232899378573014206155431123255416910",
                "294432131725932717915787396664021203418",
                "80973770538931063972373275147305346812",
                "95697723776802223370234335459697860831",
                "31866243050808704520849327092066452120",
                "144899788468852933334108199183263191111",
                "321251070632350739253164498896730140039",
                "273681098021829611915652069106603722009",
                "204168406146510097417127978548583317212",
                "132558343234156691111610315050431278505",
                "24673313735385951511565805499880642125",
                "61313099371519423428147762099426841457",
                "317215656470064358695375279650112145830",
                "197716148801207652122522942826869557701",
                "203632721316161460742993501582505652773",
                "207913049247747877544353651439998617894",
                "145539952274955870291689016379339781794",
                "152057780854582094770448916005485271706",
                "157922930279159313489902467572334020881",
                "256040675144597169292839314497388077336",
                "109515449326446407874497103984348136890",
                "66577724391435438451966986410118415005",
                "296788156987275307619994733046777743577",
                "285676434954955708309798971344488277150",
                "312553250764896561498640900324450552749",
                "5347264265577013818964631592173497205",
                "68256725207712659707458631015564006224",
                "159599112028307365777440218462333591596",
                "55972656695551647570851598050422657430",
                "285994274851636961257871417539558881878",
                "246033896289487437427310826888715068792",
                "198217331434913739760232061234640792926",
                "2166430183455835101470130935547032155",
                "114513255291555858504191282399339359304",
                "17221403601602887370573697237454989278",
                "170953308807336508759817247004454167733",
                "72187060326461156135449059816163238021",
                "230092410960159098429440993444999913205",
                "255807426267214065847722027363539483484",
                "1156893524254558899576053045319113219",
                "249266390935810539417290422868571139229",
                "37244545279153639151588726723010493531",
                "304406532853504987507714710360890745755",
                "80140145391247786498916729480807672216",
                "325993293016838589352333802460697142395",
                "63152933110795434873010357098334018309",
                "123654442778687540505718505003673131595",
                "126411322877858585504796631829411650327",
                "173234739861508159431078287449981831509",
                "292080944504430488524416804504404871978",
                "321434767702248719229551074711238563366",
                "37779248294568833667277787212507605485",
                "297817261255690221610995410632356904188",
                "34817001688706074693385856882495964723",
                "93954170185150062587258248427358792635",
                "160921038554178606888596819092028316863",
                "169346141065287259586345933854207665534",
                "298342869834007763366012265717632541695",
                "226052452460848771970533389751532121708",
                "169941241408650672322924548975497456302",
                "268232328848814209647734636664287087090",
                "150010385798792025362936255879185042531",
                "260617036447945281357403534653773591037",
                "316498022667987901452801558263532770282",
                "285441116057636281014152627336674537028",
                "149926188994322185260930116653147729000",
                "25617193409188283004746039212406339390",
                "148189700617191875597907250144836374513",
                "37284857780273569951221857424515685894",
                "157053367059731351855228400200267186941",
                "91973170448733453460333369383057474423",
                "330445607026418582091664871106615606493",
                "72994883905423033222441126969608687342",
                "183962652655699487988496314820247808883",
                "265082328152711720238803594690257713801",
                "320996937384013789861164464507518055901",
                "257835311286728204609875974484519894060",
                "52442877344123025704281544080449997329",
                "334573382486198167962393571186689167272",
                "335598105027569363859600821587989791119",
                "105793523406771868747889588445739768031",
                "213985003322665135341130495759209562347",
                "16681807297191217050159007245485923150",
                "66616924297538163366657875267812610532",
                "339569512149129815130871398366415383979",
                "153102799672198511953684286322311458851",
                "99882228261484488943362041576838496401",
                "130277093985868406435261062917190459686",
                "112703659399627229269274361316788686694",
                "36218539530346075097445103130784164403",
                "48211453065298803925702889270480668797",
                "257669128665768812318606548827110674081",
                "109556521693603652556317471756709868162",
                "276883080831007285583944989951529724530",
                "24852382850419967798280781182898846433",
                "105862043124310388747825224440897754061",
                "186963670101336640296140367648246555802",
                "229970629510265378703508618909641316920",
                "283214339332980214761746044019329439424",
                "31593888378514857450739384216805978494",
                "280467590932399082657600239610413036595",
                "270935663417463495702840395112829651178",
                "260447719819565244509598476241617638630",
                "260432271910812811728844371692148842182",
                "46681877822197849482703693127052030081",
                "21973197032140636688651332114342608166",
                "200545980772898002543828062589850522205",
                "267492732801406132943757410105272266408",
                "156481445610985225402036278145968593535",
                "334131299818112674927090874473754092597",
                "10804585094817254428503635696137409765",
                "219030841545970879155584918678000385621",
                "283787397934755110300122156250056134294",
                "65566707710724282481444075681672802480",
                "296941263174751904749984457753193420356",
                "83999508592053787030523208148500098197",
                "247645099467999364211120545883287748019",
                "141490146660979434009944687912734173424",
                "167505226359424881459921224541521583576",
                "217932669556662016315999177865205311146",
                "136342616157700131162841514898431758319",
                "145897228173062013455716254368583310148",
                "238142671686504603567202003855543915105",
                "336314567212670570146176565157909157689",
                "231382968839624408006408560908401378762",
                "294001369439949115361926997277855079731",
                "266973866049784514343215060021461139045",
                "281263693421454505237956788338479023149",
                "112936041989680133839806056597376151023",
                "320514830868948159950947066231607038988",
                "290083831885877177563272182439026967921",
                "194096181049136598613279930958235286684",
                "278699491180893795181637291555618685865",
                "295729395378941846289068300955664421320",
                "186256845885908071976944263547813538137",
                "332096191642760347353864209746927568587",
                "203839750868866463767847553146019293751",
                "203425686930123785237411846860674169571",
                "29247514675829991565222847554191728706",
                "198341193532190066035410383931964694691",
                "280446582146818527556568822724726237781",
                "197575043699548041706183682653864758622",
                "248716603479148128844303233673142316708",
                "235041328441784211472991218107283304165",
                "73845690200127584034897811761800830375",
                "86849725826765466670116072411023452104",
                "133628279184883124268650366169892690611",
                "99463803830716532600119314325742515147",
                "141431326215109391736969291763332730401",
                "28335715670494528304648990211472164767",
                "269819295265706733311410856349636950861",
                "89302295625871052662464421442161330022",
                "151008968387735691637174663870470788146",
                "220919658459051627542631126669743043868",
                "182943062500518541516861303528222306708",
                "85955286300811783292042259490491386553",
                "59054002031696789493330105903088514630",
                "157332788925302166554438796587106731134",
                "22517025827019112093653233463186264631",
                "123551954859534386760086207294920901372",
                "288723247322096244012770833208403027200",
                "285983000920590972772269550243488010163",
                "178238532173083361574594448160501929160",
                "128568520528405275037146753377326902012",
                "327368757708242181826390813323836755128",
                "57390408788508416880024731606130902613",
                "261199599759361189153366126571475500139",
                "205630936087754911533923379828208409704",
                "319106399955755521458093502351716522829",
                "43074718072862737135284195920430747156",
                "36564856525885781506763613003737728399",
                "25656122661580896617803070353944834972",
                "168419822587376038911288961633233263641",
                "337516662542609412797702105663648132472",
                "5162668982710541753561557071891021404",
                "272131919067318202483899230352036431605",
                "224579280806940927625549366132591422040",
                "334923460337007373212336517718999334164",
                "125973618137277413247692420850122901310",
                "130057057825355955763546038734620149656",
                "329984541129086886182501489696967279065",
                "204669918830359846301142488365314273913",
                "295419080909374397016207424618599849380",
                "57191485267295222709229802733252380086",
                "141322072286325794909171122816399052561",
                "158555838894221457333294932376060578806",
                "102664759435907292332100140460953452099",
                "28114725221098084446229589064279291238",
                "169847182740654329636299380048094548224",
                "70727629740972960490094872009506210809",
                "177176080470878907119902849206740350644",
                "247484082379690010111925851891851810888",
                "241071270721273076336403699977870120305",
                "338184819773674033228121688633352180034",
                "208004830439450162628611562034204586640",
                "50303764394596228128741296866464759827",
                "260699639431138012238374184621375100373",
                "238134209029150608899295457783778729819",
                "334802377526122316533023523427664014744",
                "89580475205309439328064670557855418367",
                "240712779074230467765376311495654483353",
                "123130768547126983704043573123848670081",
                "126838668289362438968783642399170797419",
                "313997384829403338204681594354617583182",
                "256721897144101094796606696690275927420",
                "292941236246362017036806533935284545665",
                "168217523128726959705039184072329185698",
                "230365850993338453347911054841255678133",
                "21617454500784894157925995926897288712",
                "196604806454532454800734191145083101754",
                "252088679739376827753112105416132345224",
                "113112637611289712196120201101339696016",
                "85391403556841292272438979378640797953",
                "292155250301288526433418565440045008153",
                "283346656112605413443462399609899774458",
                "294628379388961828788329817362906482348",
                "245950696401209963926604529114890596830",
                "94282315661601162630359871072415609139",
                "168201867155020529268118225061594316160",
                "47650404108459380768405700597587812386",
                "288489885537578123462147069823129817282",
                "258860271971014210623088992078852901094",
                "148704929260048422021115035233411095630",
                "35732763198344932111005058673007730425",
                "298397312787445503920576573784938854883",
                "203983591975675541561829818233598362380",
                "212383624650613163116081939714856326911",
                "258956817914158057503366267059243576411",
                "104284756462973508601491963665918843723",
                "124864900689779057601783163370325927084",
                "954440041073206652023519661172473204",
                "140328928184506747501172226597083480129",
                "32838297625537728403020257503895380972",
                "137997841837948145491968379036956683228",
                "332925124659744161199146192709906582435",
                "316955727011536850975091152043371293663",
                "151902850040579881297692626541415615273",
                "145313127384568350392964000020260533948",
                "30918519577771051531411243788675993393",
                "30405332541418176272966222031971077132",
                "330419066080463996936811011639077276582",
                "99539216002428200766300003327183790851",
                "90486705411841533909328421941704381184",
                "218981424162542688625001260470165522026",
                "242582225854129916073286278486682784993",
                "241448195830954214614521908204659506242",
                "206370907322463315320319867102635047986",
                "248967097870500034337432029607869643014",
                "300708373753078561120459896641046537478",
                "58629498990924733836841048727976925699",
                "79136625506004364094397875459900578484",
                "324926161662960840885431598898053623430",
                "276045456959254189740156196374095879547",
                "69148012397690290794550198304182666211",
                "106328541400318106809825244903215522817",
                "66415584978758956089185492389144072500",
                "286074882360644093775982604098994396166",
                "86465183757091276576161731314074179210",
                "295861766899732844214816295839682741591",
                "25202981491357734333958645235579566333",
                "96474115079209480383699789788598908707",
                "283163830652277592525732194032938135035",
                "304435753124101616311355486631175838022",
                "297091288963719133412118506993306437320",
                "182465091880723231534722167008956407580",
                "335710745742182939894002821979244672146",
                "220425551603836679676220515251236850114",
                "204763622536485688146183025695631925300",
                "276243363068519219357790641140972576226",
                "172148135503440593438755704814424884825",
                "237118795535502219880220059940390228984",
                "54367995875378850991955765443606150910",
                "6592143745895083507432737205470589098",
                "27283478357389900394096210216424818653",
                "7894528160789446781748225526916912947",
                "113014848461514385582801666451788694931",
                "177178800252430293114148934832124734454",
                "50524655313782109942902755836910135043",
                "328567763610908256313259206822761795152",
                "115300906645779570010339925164377876757",
                "259026449134921870876278017620167785146",
                "120009185805270287135822710409472150211",
                "188623729979520143119406964024797724270",
                "63954127402125362023534667312248826222",
                "267307692365033752003032393019010091557",
                "45933416888236848251117740245836494657",
                "290751401685681137130210034064837322659",
                "284419327044786703958723991463539385327",
                "39193550942189735470528725158331957630",
                "339135034768487990059138444586916317426",
                "274908175840895939341589334189153688865",
                "299094135667755013477292876205028316818",
                "294234727669160051485702195266208794349",
                "34823799011888272963353153685699429229",
                "110971711895984234670553873266278322364",
                "80652748661124514437091507762722131059",
                "95397313163589939342201493505259267259",
                "263850119945585856617600861533169583247",
                "32200002906560384324268476107295771968",
                "322338633601740151086065112171178972818",
                "110305316680197802807929569518521730473",
                "290170130118617456631144600421877858468",
                "119938359421672262534234741609226419142",
                "136135415456618975669303928996329827601",
                "260624756511446811710523727613890717055",
                "282094698915722239522462492130226896669",
                "330792023895391766863980919114352055262",
                "113165662676526449538053547018851264349",
                "111522816742013297872393470035154343704",
                "24757535064531975169300330296283612834",
                "100784772825033915983889739437398705309",
                "228364293030732533694183703449235192169",
                "187035437553601480143770377294111513521",
                "51255242307060075854714119797800674169",
                "182180821986046126703612921029446059119",
                "207839381111512868259009525244078492878",
                "176247887057103497773733447360195664748",
                "235642647091844817468420183241509122578",
                "337117357308700341743338076263117233081",
                "214871078563697790926111732629770452540",
                "176751320204210446505358399206005276829",
                "220435106613213948869176404310699673065",
                "241882453439502623657869230476261270932",
                "9094024638875665357789308221382907342",
                "44055086165659989030846220564632151277",
                "231309239564381891760434538776796387336",
                "303612788859698917522143863146265663346",
                "80006538429028544311818522796293832317",
                "263723780151564298041957342785115579619",
                "187499905940551480588758834192602334565",
                "200206933082358151389355011091200238726",
                "80153661223123848946927964897992597816",
                "241431013930810329559792091886674244106",
                "121726446119141663809533287237594879996",
                "174069629398701139019224178374668808179",
                "103969786242211073571529223390312817573",
                "68396877113154527780399497983156866234",
                "129416212458336633731424724065343692374",
                "330585137438468024394465466411066573984",
                "89610375026203115314282722038895086504",
                "172326082734885251444581552007559608575",
                "254264130709164279220187484325491824748",
                "191304572530880807671200654994062563593",
                "39419590058128292797641986764058725276",
                "99604841941514606466821986920747200989",
                "310614213854017119891653692933226835234",
                "238915068869708704679294250660924172765",
                "119928220673374290448488633277932004231",
                "335856239507605354265685654866947084971",
                "244213984132823385263901813753745857454",
                "261795411752791678845279106563985757886",
                "102453912855335611058168340323618446018",
                "292041673408614243223073437379056125553",
                "64383686040879312020926987030766636904",
                "125318755661259912080450278241033544170",
                "54243037200473731148216762160547907584",
                "169911244455100903818947642562609612631",
                "182430745258835052906191277025103544188",
                "259052751216674856343185152533985424404",
                "288351829080246615553491642543067682905"
            ]
        },
        "id": "CVE-2025-52484-533a9da8",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "327063005244553053928878325934736158098",
            "length": 1343.0
        },
        "id": "CVE-2025-52484-53aa96f3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "175192786178657455857918897995086332011",
            "length": 525.0
        },
        "id": "CVE-2025-52484-549a9b54",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MulInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "262494179003958152207956999516766129715",
            "length": 42042.0
        },
        "id": "CVE-2025-52484-558c8d28",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_16"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "298964309236062607224148150611573999350",
            "length": 1250.0
        },
        "id": "CVE-2025-52484-55f85566",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "30321757564888092770739877967657158867",
            "length": 932.0
        },
        "id": "CVE-2025-52484-55fbde20",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "246423555669159360177868734102156254128",
            "length": 989.0
        },
        "id": "CVE-2025-52484-58466682",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLBU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "275463645498455086640187061657159838172",
                "110335982443680348162383370368376734664",
                "282008475263609908832230864360968920858",
                "184644565254566713194939431491796121715",
                "117877543870288244961687549137918354029",
                "274390501619003495307615360084531778322",
                "280207332485761499316295956909610253631",
                "225854147885282023738247462948982196115",
                "223249473034073967257477943076388055378",
                "151547386522712390614014092871655573870",
                "39447977021152070113857647154302586056",
                "298430944694546335411083955700754462068",
                "29782938712979825778950837410788710416",
                "62320457283900699843852738423213536632",
                "115663423376300190253926473770060493667",
                "221056717436380866684842329474123546207",
                "195208080165704337173420206148882801400",
                "328115731425591285196394224900979742440",
                "245643152897780805134527503220898409683",
                "9627445047279614892587166682517737763",
                "263766381401279162376946420523094505465",
                "150654789254236810158462165209305138345",
                "250305694444710403947955613282413504987",
                "49433099030875061977970840081032233984",
                "258772186724777317220583828287549226446",
                "116943154407788356356815863633485805798",
                "116182643410119359441202352953683145907",
                "90856562463420025790552527050802811563",
                "191840125558375048930183867590085277461",
                "179674314198439189705356363447326683692",
                "76619300289967025129897415288128782152",
                "197500389425323621297055970729022628641",
                "247797780693427063451218647587710353073",
                "238877793281363322276276109022830018435",
                "254080036027029769399814887516998593266",
                "62116331896652565689934568096220206636",
                "203645375905240234428009977788423785310",
                "103899960230582098268827809915910209820",
                "62064156119446268191712335260438666310",
                "189431070474619437264219436189357058652",
                "58462252991573742410654437555460959508",
                "20614399981708748852381657704600077300",
                "186054149016425767834553855637487895809",
                "125626921883591111212501312808101617324",
                "209023960600570981253299312738327390084",
                "285194782578800207516705397056633688947",
                "177461203711265174964719966068961638096",
                "75446976008942703695584576311610064951",
                "58609408253034924215256218937868133571",
                "326981077583929360782584453320562593063",
                "315550266751623944818614481705926639562",
                "1274943492848123626734528342932321392",
                "122401004700561602496791521002420942329",
                "80096004865272286225174279379971034663",
                "215643206549971276905787193124958082044",
                "199618392500644385676346429099550227759",
                "92867243853826166870704674211070104272",
                "127572830790169231193815564324178249584",
                "289402365560534016421817721553332925714",
                "52315669048192624001772206866311449829",
                "69547355859538994820444279436637158707",
                "93868542703940542371446151424828527544",
                "73094821339088313634178257224745466577",
                "83523876560878526656412124133008063749",
                "136153687723168095400880120569767995661",
                "103849662087083298786115428143146490003",
                "81877404822913540245900142588266825515",
                "286053727423694882075993730007633026478",
                "278711953348261417753891846451047843911",
                "187100409791582683640004054729815662292",
                "126357225226914389296735987341372410014",
                "70302335560416826148899815961064096265",
                "325544761540356783433909912698675554946",
                "50986025814556964372832309672312950865",
                "4852870096057309156048369726232007398",
                "64798309479480787370379535805339348847",
                "11128676411841272678873049290676392546",
                "194362754873585880912207972590332267627",
                "81539367824494612123020042870767524469",
                "279334065284026527120505272951899001487",
                "334627385547890426270858152439901978853",
                "87376126133403954271430907443811589271",
                "155044693903714299656775645834715602851",
                "126274949233652309461277252664614428816",
                "257179439226317009789116902061383163591",
                "91040590277001484018422104842593933144",
                "163291780086748359918402367440508219848",
                "66666920690013767210307289837971531816",
                "246092407008738048087563619040105991156",
                "251862325303633486747920971633933862620",
                "73513692658252314665853592061899232466",
                "97387035561244181482882242727949383440",
                "29877960165935017452623460415854528397",
                "217667115087726530631408522450664281793",
                "60361866139257538675916587653638872028",
                "150939550094247110809891703974449026274",
                "43026550203013205988126585061695755863",
                "228452694007901619703481946842260308860",
                "141761178055536759125103815857066481643",
                "22841962781351100697051077341693546396",
                "303522878267390679602700809039326295471",
                "308436974357572278221560763996161206124",
                "121725860338501151391129539637491629878",
                "60652328598921776908341259475522995363",
                "257182359606858607850872231496759471813",
                "276473950247664579991383166931660433734",
                "302225386246315030033628052512381004409",
                "184745386191793210583292003816761783290",
                "178973436312606459140609596289964298459",
                "16768590623312806355154305068990381502",
                "139046694633431112100359662879511730166",
                "213082302925665432726378329772946572556",
                "243678893619428751728173684250221620530",
                "324399798263452256321822561049968199087",
                "150469937907210149312834163358917334875",
                "160141385051762487401341215454068502057",
                "126059242254002229911215342271130691904",
                "84723038139119022234668018469032625341",
                "310288125082160342347065557760647953214",
                "240681812371157682730959310402308354994",
                "241609901467372545627298396366797494683",
                "197233856266149773062952734160103259061",
                "52652265013840841796392482780558072727",
                "12514377138506962665480518773146589312",
                "258757865131232517839705081784590490389",
                "214476112813917220139163505315887650124",
                "135408304950764728277630521047524927041",
                "277903418368979229482959202125778899332",
                "319032009207529235289357613739517135502",
                "304367628442560694695952622443860534066",
                "294262082745300835621598839357376915595",
                "133275561056069786552406306568487628365",
                "82739015857388679151336294380613362853",
                "322666414863851997975081223236596855995",
                "183838572815404965815192976792234212606",
                "125680887188370459035333719549108570087",
                "198225110844998179870847087097525938692",
                "254719578640670168587495141752947396356",
                "97140190687280828033138029942058417619",
                "56307784494097928641488165049922921675",
                "162071975288236937945839756892844395303",
                "202144666662406330357268534390063024714",
                "168756940920893620692950636501385407339",
                "238137968633643786897446013775601291961",
                "243733805898868926699770755741478738494",
                "105551258430922245129432059341006828149",
                "220779293181816805786695552708319390055",
                "170647791938928472966622126559802376737",
                "183406226410227947068953304738195016850",
                "224127364534794426330335367109159950763",
                "71993672842465407532060358987626614506",
                "145534433665346968577528592351725971876",
                "194301543023896148970056993701187839949",
                "149959651504192485750354034280053988852",
                "326355967801784644542015917068832055006",
                "47157313163243956016435502491120177665",
                "215124281218451415543415351308567642458",
                "320166587726015452972439519281987236141",
                "336171124299403435351903242500353334041",
                "142693329033360410391900179060929276035",
                "297225802770414928919920610409528849200",
                "175067083982868745394631219329004981352",
                "278417703514265954786042751847447941672",
                "143438404716460889940390587504812514184",
                "241454539740565117691115577193565959396",
                "196754067053610969888079627444843045982",
                "13827055129834924162243388967573568425",
                "185206351695995496337259953389787532358",
                "161222076691509120555493254213453984750",
                "274673197066945322895789173768472203895",
                "274664009743944775111251798747671420050",
                "41439452082860185885599266270800088462",
                "134508936786282733159667737634324386086",
                "9675842810540596324095200567538304736",
                "19860278914651859883664583740231872177",
                "188129670482801904995468366015909598590",
                "63650201861194307260347809884080503594",
                "215527759016184812792629036297342896666",
                "57270709773659873992724030743562724568",
                "55935530417573225727179090230498731524",
                "53231602312463941442539385729245103309",
                "182858267170128377745432080845517030481",
                "188574257918024468257612526632748694534",
                "289990698780196853810798368286380619196",
                "217617307354769834987468016813567617153",
                "62302412128110298462317000934399350041",
                "46892184928527928092392321328595773989",
                "268257105064162556597563988170393483047",
                "313331645664784459708568049069695130830",
                "331832903024700313557318279565465049821",
                "18541912048169741192887436876522647010",
                "313115888608688547411672571312954457356",
                "10628955667818354579920769693386364428",
                "135010612670900688951405152748137738746",
                "337181899734807572443416221292212881313",
                "192014546137308440157839546024701071892",
                "27435771263440269399798364657064870520",
                "225191601167585685340331397208822135919",
                "101389205196025134286074680701615920061",
                "175769028760913445309267136343926380643",
                "267607297173783164299729162482907444474",
                "286860457564659392616401515206512603282",
                "205760550922296252012609766212578459613",
                "157873733451434651568452843872762757939",
                "124166500990830462324286482859300046361",
                "2991144571243503757501687511228766678",
                "320718979678003754476366202749973050469",
                "122459307174855320598893879712608388989",
                "147381902528640662205577075911319080633",
                "329257904746353076812495035011843127818",
                "37390706339108481308197679191880570515",
                "62565718313980888613022175566128816528",
                "41157470368292180122162361006698530596",
                "280094401538947252372723914207426563940",
                "112745987962424474821671623610385983050",
                "109563622715600157522946811076825368737",
                "294382301645696952806614542872290470220",
                "146688170514659918103934874197098498838",
                "205750177561594706265916567148623254512",
                "304537072230559225588831128927996256949",
                "140486924211805510203619422663434106234",
                "101479619018456330833901168790778476187",
                "50048164400899483437125402211097406930",
                "168441914559733936754987655679219212291",
                "220650795787454604111969665597015871249",
                "248919102415050765079828155983933897883",
                "235283966026577342420509886894300432908",
                "100045983642830292374915044790886262723",
                "110164012470242379765206807669412496895",
                "104543446287089668116010259432880331251",
                "3579726751752369249529456250983572077",
                "34948575110401232422331914667338834348",
                "241330277428009915107359421753748642107",
                "108742471764159736745511479084097118207",
                "22241382844417513889219160855108231003",
                "254363992632598103598545335352024511907",
                "339945974724266366173041798073523699242",
                "13180750296707021608367511354331034642",
                "76897359269842979641054388465735559193",
                "134189284123244035055805588292949107786",
                "271927703659640018838778920845671769806",
                "126473923657412469589814018994597561389",
                "322069803656604139375918245955942688098",
                "82479862529048044589181526767239654220",
                "111980347202463256880901024893635022416",
                "302996730312031232526150955467129843401",
                "1204487096895568433150478908922914262",
                "200747735476771877635052906757741050038",
                "248043160517373431385272141556832814233",
                "262504661485214980299551218000425491441",
                "38435373152880942302735503063108634628",
                "339310371873852617224712763451417838285",
                "265389686236392684583077192532450728353",
                "317291265922347437662482572616079923274",
                "134602295081926125451561662096511121589",
                "106400037721891759573361932940911518647",
                "231611827018159991490824284830091093361",
                "327953749188369075766760396294832318519",
                "10089370699422094250767251403368843425",
                "69907458678635143501328066319436848928",
                "140025771177943771414284865825950967052",
                "30088365405923681407052530655724339626",
                "268407921431020147687814151129944757839",
                "241326217168625165887618322945717781026",
                "121955724558448928738835851002953142685",
                "129184801958204800883859025890824045272",
                "278197459591041730243281937033591935366",
                "26790462777316608521649830336449952253",
                "251112241496947689878259979744296319766",
                "286823570673376285385299642202778593183",
                "263566066015257170835575143344459619488",
                "122277419472603402814986052436111147246",
                "185509411858697161396875576329236965128",
                "219250542363808898773973364711337377210",
                "71183346063149167676499589539927006451",
                "172856281355428425374695686864234735004",
                "148803444489289024236747157272686929848",
                "169962121209312967548230922298267518412",
                "328953935904720672474333891083256345808",
                "94145830338573680611643348659680878238",
                "117465389610136967982171695609580914570",
                "127448957692836465832599234547724238748",
                "111633629177752616760413049994870258122",
                "85305532242441353969576746096602081799",
                "120019070914594204954050417742359348151",
                "149799480118136322465592428516961715342",
                "36238871569876733500438748382625548862",
                "119062639701224802483323761775878977843",
                "52194381512259304366102954024444440901",
                "197456210058726938018200373789312160701",
                "320626919677245905321391563570916754418",
                "13570428932681235063789422250905562026",
                "91250177623123336412632399614892601439",
                "207225661764681582862064165587876477872",
                "37248139143909453071667050270728813322",
                "253826957641357103056031485773885357212",
                "253759343506385084773523563653807548400",
                "180013926674275984639685421995764122240",
                "225325903455747065146139261517490484018",
                "115455901445501206074035448976776106426",
                "72331165920444700536449742013361077337",
                "320597113800260972915811100370900508845",
                "74297635401867920475400926215425706705",
                "195984335379231745779394446006272772630",
                "247836658491810098253500197980174839940",
                "267354246132196157254189599155617512647",
                "133013373320410497062138567389075801168",
                "239800248773035166766558926526719390804",
                "175002660420582093656005336144370726244",
                "60048453855257184426120317145569305669",
                "193419870946637525063890546321324233719",
                "104220113573164132352107595081946031035",
                "331553503544755199845552782474620102982",
                "113662248094369052478083334301750629094",
                "123502978025487539365467338984141453721",
                "43917197144519186103052658663696140175",
                "202097311787174671132103749203346389013",
                "285876316429722982159017812501569508573",
                "72526895722400616614420269975896195004",
                "267405220859862227962207654988526276994",
                "128153601421469145214180106899820731044",
                "291435463713674896098547079841867354184",
                "121779890201975369772292700855842031369",
                "154482721054415588238412925084013059862",
                "4672987730063787898174671184016670892",
                "76097598522814833780069997354754066636",
                "258472903268265247878104450258712216218",
                "289697891170015509057956326994910119383",
                "285898110868577524055574642847784368297",
                "97148707067828846726442499621890291022",
                "180031000380858347092833465770937931884",
                "172236863658865993927482123848939230860",
                "29130506938941050392694305647422025931",
                "259963429837594141656922939848088135647",
                "313434865317218571708171991945212285576",
                "187482368356667588242493760398046785149",
                "330049006605327671943294123427555112012",
                "338455713565578238643512994014039216246",
                "58871060491049411403728610831913412123",
                "137194769042763656735025361050728068670",
                "254411520150583034257020572130304665859",
                "175652834986512727521088524285994739293",
                "189021383313741005264215091483773570441",
                "45717744569366331026397888843859064400",
                "319874258422840345412161668537480170694",
                "80769517545757793872752179985549894355",
                "225179115456738365929865193168453916502",
                "302232145541884842591906766438988893682",
                "91664221572604793919123891516726216310",
                "92289900275757758334359344410121953271",
                "273134005630576350510830870373111212532",
                "160893612618419854385710774890788147206",
                "37274406617567916266583605636597266247",
                "236913705839377979851963005553770378305",
                "194086441612880806805294281353655978983",
                "190496190192378394306239379724597469700",
                "205257316390262253486263715588786841510",
                "95439211782751239770772295675063347229",
                "57604203475940667933387612256459767788",
                "136091522785277514522074499253083571609",
                "319778137869809462995234831754257289661",
                "215527785757017593200321542969475643833",
                "141275099958774759966175789380094678525",
                "181748477739905026515710830098303110206",
                "6181250687333983303459717091382730859",
                "200631081261646820405905729475422794828",
                "167443456287873682429709528335392675196",
                "61970956017127820905546088011391615177",
                "180297823091849916460946403861232979472",
                "245598785031510469703674983062244124472",
                "91522729476539929015800800791092189384",
                "210551179609464836245355291673309714175",
                "231275567458860572642038167476880327227",
                "30006421905751382224914391150977923436",
                "147353213761092339588021698464626154730",
                "85622856990421443292016978524771725593",
                "117348692031979222348095814495096328238",
                "155035223927183354998409921152583023842",
                "240267701267587518596715662538644464839",
                "252787705140789071465000006727684437415",
                "62879876265495728260635889762603047051",
                "105209985677094964553719724255572948496",
                "84998995300959026107318876945820927886",
                "113366208475862723691052521213221412366",
                "238524855017416741923672443621890931871",
                "122902534990607397241058990314326937014",
                "103656925418465944147823328372638728377",
                "161862308850051582678546237650913969974",
                "264691352582761468830026878493018979555",
                "113243965716484545268731608474013725074",
                "271779254927910259385810535885020671759",
                "192198068532070976500624660538485721376",
                "101490555253759183994219679792096135946",
                "64418967944965146014113643788519136871",
                "144637826001182955877547099385416217441",
                "286359218614904731401472338370776190177",
                "292107315487492180159955211848503644348",
                "175661935954081602153507208940827798427",
                "32298009219009706412923719279421366474",
                "55677222642147228870568812106970720743",
                "452734096633386513488819697810217800",
                "61952397401740997869218709539042291849",
                "213075540831345397217493576713891624082",
                "325590728772626555794528802133956680467",
                "41650170375373089349179386727159532513",
                "201345449472339493749971693855644993236",
                "243124657332421955849012188928698579637",
                "167726817458599763435308043425148811534",
                "282484073264619457438966390897758314310",
                "254664150009547124907843772048236864682",
                "120196161841645405176306404227661117177",
                "167577096754002713924004257551413446237",
                "84358627103586401883903336284178932036",
                "315046070946621087639459447100475866207",
                "126475683442995269734241902573802653702",
                "296770515847242258699539081357719377661",
                "7522547715894801038216820911713453472",
                "50991792885635187562097212540188859921",
                "224866396201090349391113328067083382700",
                "36713851672807079554749345367414113831",
                "169646389302006354690745124252261532601",
                "51415996534201634653445859209660114165",
                "207520525645457842683820735773245074070",
                "4869731922036799487850747194372711863",
                "42837268907617398559551472045810893864",
                "249601351044038924700169285427409380004",
                "131268959263869971725194946397016184381",
                "117382540187947357878329780364917249566",
                "62964157436664304943892573762345291283",
                "298908407201581525617579848203504717035",
                "120782468246569872711181072663312463715",
                "59077233514861676533098092065975143390",
                "226562948290643539731521902952668089716",
                "297452584686168930882419151083183662262",
                "33694009511146185072025720234917834149",
                "254234555694703255910130873313872864153",
                "185409165103318309598262740666067917964",
                "218266624214187699888692018301815564628",
                "246263405659669629160791814304445040341",
                "84917759867599558372467653434474161975",
                "54846246178320699962551978247208338397",
                "114842631577809151097237387995672702062",
                "216919510655363034267024275418481318940",
                "55528949244376356013038998229770331216",
                "121147403878931795662007469345772535698",
                "32387681539227115436736489223164834696",
                "278286528908066178418776874956649919990",
                "33763811131901955142625777597297855667",
                "137682234390021306014746439450541859165",
                "103123444756590881573841019231391879276",
                "300789762525124906007436030692801600452",
                "115485143147493373345620335337011926985",
                "257382278379529781226240071457912267879",
                "70132409635139085013649687582360757090",
                "280550415717022629371411460315734332121",
                "93849236758813086554340132761995440566",
                "120303714037493429880253174454955137327",
                "322433034789118651481930944162789241061",
                "92830291392362281690453779898316163524",
                "129321780220971205191400858552392010304",
                "75823784666774081463423123147644666292",
                "109994849609313705585260484696633272557",
                "263779936509600817120998341307608103575",
                "178560975812159827351869502004928773386",
                "6693340472072237764355391094592750774",
                "157592901088319948168812569648939154448",
                "180426603973527376035873461476561534014",
                "314770925571971843148412657246986669542",
                "304268281713591956785935572241264724657",
                "339469899497607842479602555201775134313",
                "184715549878704598099065100941329441559",
                "67763324004463466567035118494145763541",
                "53396747709457492290095612962715431139",
                "209217202222827380635145929400743275375",
                "126365742716251863211327018254192044526",
                "222043209024586078468948508162224997697",
                "332416988521873543555245024256047111605",
                "330504041046553696267450326227166349105",
                "298022477169393995299050261791673905175",
                "137420381123066788357520759189157567180",
                "128751553284407643398366947810641226429",
                "300518111563186636456236435353916025561",
                "56373006673697142640441110506026024773",
                "60922403810283799403842368564437215382",
                "32313668382917683844419207731631677888",
                "199565434526296864617804156139929271112",
                "48027293847239898443903897135216026302",
                "97220025443572410239953798037807243143",
                "34255143234466679338422731583899574171",
                "12849385985648404313050736055948306273",
                "248145479672261023027892372980686636750",
                "15037463724036847812645606402924048665",
                "74680274958208745997354504043755926575",
                "87356138455959354424117846303664783787",
                "256229177279208992521731819914093658306",
                "70913829687161820074416511270642524143",
                "37777502887506741669410210942504456077",
                "317214259169326069812617044566808263570",
                "94521579966032906192714925133545223760",
                "274826436593104529905935714735896648317",
                "201470292270390056228150749886094064408",
                "66643789878977498036775565735494619099",
                "180339130235633016123223024718659947684",
                "139469452583471572608497821143235814150",
                "163426887664683436458175142765410819134",
                "112628499446577050565540400851327542181",
                "28577501912610395245832787891251938837",
                "108999930164665835549309655425602070847",
                "295432007279363281943255276950830178657",
                "176020176529421414011791212939883522307",
                "270426081480288875992482977401842675871",
                "42723027525861445910179522391820008323",
                "167038630985354289777360939566057819973",
                "216180244667331318471515916026641280102",
                "306973776182819710034806269646784910370",
                "236022370435151845104187007997291197437",
                "265522224630896589230459324055916846577",
                "193515274604837110247430508437501227051",
                "178833739637774333970710708056615766626",
                "198182714994369440966472047890117652420",
                "249101771289364177609559934485145735083",
                "72490664055975469808901391251355981289",
                "51927509989507541197479863456091080336",
                "199731809501260180619931401645575859171",
                "98135574978395845088975117864186520596",
                "86996585757109944619942402517423259786",
                "97381717821959200318649725623629960952",
                "69186120919703135817755349894237357840",
                "247840098412398044237249611875986958060",
                "106961647121560601406493459968223753430",
                "83773964171020506549045271021760344437",
                "44287852129826748827925485395636154420",
                "263445448456824320923456068738310415761",
                "76171262582131111947269158584058707934",
                "50719587111539308121015822230854529351",
                "84287668869837547850117248592648782082",
                "304916601145977463728273856452599397913",
                "143440564857416961183688310511828884035",
                "29725130910859940548999449149826196888",
                "213239410334438658059319292967377701129",
                "254042021610187577426426139449536351293",
                "293128032706597661860178378196896303911",
                "103202332796445915582542290624699963577",
                "13359206539126738024709360053756979127",
                "234889109285039386330150020428225667561",
                "318672428600735416069148763749622015359",
                "169005497445613365915561922703642656860",
                "272966189753376108311644902351615531153",
                "236797854441364917125593663624654860784",
                "77058601277542238917257940907049351804",
                "163155293901150832147295585918538470546",
                "99872510773857967432845290410397622374",
                "101116155202626321205340742456587252436",
                "63346026206041872980211541058890905711",
                "81022967644408430436583261140054571597",
                "97300708307688161408737145212269635708",
                "263900522501830208428009814307722662484",
                "267656558632044989883069083875023944455",
                "102093905767420284798573158232302188539",
                "161706288212760946332253678086073020045",
                "188891115598977253943341943474337322004",
                "106847236958969652438991627207764500667",
                "209750127635435055774291097323914167518",
                "186518221051753554561682295329183447864",
                "11179667025593109646987604983801843887",
                "288803780297668116312708731058611124421",
                "218457201119687792280746751251864011825",
                "161304233573087022353755520062885409141",
                "243295564281213399331286476792328029248",
                "313887301045604203311167845575844780449",
                "281565927898845272194632384924280311472",
                "135992372205786782522318862299819143034",
                "188966432585533734808008215223758122143",
                "6261285360796304195320700434793538954",
                "16631019863519552770664262754278112495",
                "140887976200791968236308561493787296527",
                "244403519539588743970487728938750284260",
                "153660834130096356367537873103137886128",
                "174444686998940000554699737374990404146",
                "228075408321887193089279578859130059101",
                "309673058402017540958323612955200818655",
                "281064865266421062727220591849635307939",
                "222984569908679322792729081252759993470",
                "46157630711393419584735980033639698787",
                "274162503551600300867668442771929542682",
                "210143090986728601369828828018135959323",
                "158339028569157556012781921932291062838",
                "53470019326760967591008815227574597355",
                "247068059383663112015504764499466815941",
                "332157426894449704257857858833635455156",
                "68492735095272839814904839810855707821",
                "241373956873344156377549284676514967740",
                "8990771201225458345895867724756441385",
                "38841574607775763682376189241043814523",
                "207979305236831688829446708054479884331",
                "293129268650151503496504844518149843370",
                "274283893273931437683442016163072848994",
                "19747878361258795340238727686438352952",
                "207477485217560959357169359224724680180",
                "106350169499262682065250922119116614156",
                "45940105053178988832626102092042481249",
                "160699981649979225216313883289017855548",
                "201665705734429506627796824093313187331",
                "67803126665309059706782524364524578262",
                "245242684249174244750304995425221895716",
                "216691047189567039055881481546574487224",
                "338345018060730608551141849240842798178",
                "268157961502231455439189041484998233989",
                "188693041596658776859657938825799578929",
                "24675643030862676366333654031148428519",
                "58212371257516365647179458369115531794",
                "296544863748156411829267974513380867580",
                "230100300311347297813230424618198615379",
                "211712785052615354410832683650901056878",
                "102460496905211590318282904390025392800",
                "82153962312212270001529592441499579283",
                "120536085314406930933799354822437024273",
                "231607102278737667633223096607406917373",
                "78594608581905009881973162156172505658",
                "163746811972814340563055802868179267695",
                "139932925990404352201021713486140444942",
                "251127446722805516661284880876082203944",
                "318912718828173280794869586867827108759",
                "139112810561815659470561877464854083573",
                "194147963039749431421161969379864291718",
                "116769302883152214264910895780550623490",
                "138408800704134283007392210885701091061",
                "69392659848131747695408950304138310927",
                "243724905101818586749417295880289891130",
                "225380217230422999945130926578003824981",
                "285936233574583572361775267458026253296",
                "192510575960682544948602601716691192977",
                "180185491217148486169473694015019212323",
                "262408072613263579148050962501126680504",
                "18052044214633587048827288210874172569",
                "60679039775093340121370935849922773343",
                "171638194220097373823812638203138426960",
                "96762363556951607043963170683718340949",
                "123234829403207246229681798360036205923",
                "7848180496696929886221538019277888358",
                "122516510067940170281088418535737653883",
                "148971565357463962680528443804597203120",
                "278705987737603226216603184720143137530",
                "167089700123624586885154842790542690306",
                "3453066494060821267317827056386658455",
                "105616739212628395791526439330051881262",
                "336499075187951574670140004176033343896",
                "122790102669705600139014758511100244119",
                "149406369078432743352814897260624762796",
                "173059183688409165201359934665260318742",
                "151975268751365415575550765377187672452",
                "17084456201855313992398783784755582260",
                "327640974193595902040908855873496684481",
                "61402082624759256603580424561390124582",
                "213010400089024841918574940245864838917",
                "17872183073685300301778897990593983509",
                "23716256681806899941641478275282445211",
                "142093993159053823955372208550548271651",
                "288783140132765270226637150804376171896",
                "47435830046435682196616588792575219674",
                "331554819084483200521964917783079677485",
                "76539511203282037747380276101073729067",
                "199910461779288233696124078600030700397",
                "195753763072614187622161059118277882721",
                "261672172280683420772489929981655715897",
                "119052142960986579454699554632888436234",
                "201106541609266806210524032702375509714",
                "74331598730084252843494463012487344861",
                "20689789415420246379939628571266122127",
                "88450975437742201159574298571289397464",
                "80968583390943630453212727962384806700",
                "168873858330526844973712386005469253955",
                "5129305357336370966228868839293776395",
                "9323452901110950130028172827030147116",
                "69860297792461305408183459405456268524",
                "281067779369123724970191607027549290149",
                "74233843080073230808983253446293900798",
                "176617193840447663306491325025022106524",
                "136184385654747815766809967408103179353",
                "91831183996635526149755139847804538836",
                "91666150404360595213487625183413280441",
                "256457141641772037241330149816914656932",
                "241442462673292501233677387114166959409",
                "329083406033359051786417543513143378240",
                "176397079063083837393173434807603560000",
                "181113474187763248477656902687763322398",
                "317684617710839655620191715619980835771",
                "233568428925020099501829770594837576191",
                "103460596525990323494441665227870511164",
                "229466310695991930878955771443727194970",
                "133087917038202504831635116962279701074",
                "46927864988571663379012998601889689077",
                "184694938974338033693504708205220479005",
                "102183092405061666572083597781580229941",
                "103963350877112626923007441783946428533",
                "57752470883674637342012048521887925316",
                "2729817551315572504456894500668908364",
                "255646869931179120144184148019103448947",
                "131748574413035325232243701753448451508",
                "204276202353103379355369303749244927681",
                "209585439777189331495053763133967249024",
                "78070171678854038629440254100921119806",
                "56109277539008486552158370422973583093",
                "71888643085581804446377069742160239627",
                "61885063175054886932240675355109951410",
                "322573781309141892333423382559606081381",
                "108539376354231898851246556126219782691",
                "186907433074732861087720218555722218949",
                "103751048754349904843350870796053675257",
                "92972459428890165639165926450319861115",
                "157900522532667437207481011310185460025",
                "266472305884916639575630203020949850185",
                "293154263803745994279524506991568757384",
                "220123517120656037542450025387993962336",
                "300948738010291805298727864723186162011",
                "92653634982843583363795097861801506517",
                "193994097260736827498798107386668950895",
                "80510208396628560242653431100012402045",
                "22004370397577435413593588750579630491",
                "116951145302112666763516079033878420861",
                "113416444883610444433740392781050346610",
                "215741035312699401994738875027721250661",
                "95603341672586537631902567909186394669",
                "53359575898601481280751608905522880410",
                "324634569996654164455650139632577236173",
                "258157615473185240306106424858626923076",
                "270240607738296995559561599324394948902",
                "148571451995396168755594128704960167507",
                "235074123676977989873361501944166025535",
                "248668721559065856224592741902461295195",
                "328197315220936575511022686398824401371",
                "292502141430372319696943613522948824045",
                "77232131806874970128662834125341733680",
                "187935148120555364402863497909237519837",
                "242248224861056313635862139099231971657",
                "315296402363131291733306867566519176726",
                "92041038358077958770394941021580003372",
                "107809073506602420498725454824527289238",
                "150083391972731715306932329857835791494",
                "105989018718521734028790700847792162464",
                "152148890504287308872414102392198759964",
                "240483785366426248623568108458929833393",
                "67128129106597291813408397482483906252",
                "283760288483519351903282099555694401836",
                "26130655463325815219753751106771369567",
                "96467097364267137994336459960819342883",
                "87702417198953727504656102578807120488",
                "121415799924539007848838896174825062091",
                "190632167564949215943045384809015989127",
                "261504499624614290301179660881976116620",
                "209761043976465317769975404995581441839",
                "78303228234894728854033259463113122297",
                "255514263934910225657166412958708367814",
                "298796240344223104644847241389484339780",
                "107430452935731841442174569305358403331",
                "41589886930758413957822885848726161503",
                "222862932655628749861928809582529324545",
                "248936537816478524986702436950434159508",
                "282175077410156849365775824578974002050",
                "107371728211264894866242873566631262534",
                "91929520216273715598097156210368156299",
                "102852314494402070845672167948190145733",
                "229047901535519742371875967080418684678",
                "102251137644263990974655508427198626355",
                "323450733708382667710472936069619521317",
                "50049539958343816989944152994642600627",
                "230571343801185353045969225021663196217",
                "229462705372639722526243207539365967446",
                "248923730680812152251626378714582533894",
                "62587407379093537911282725632843323031",
                "112575968038298854942913680239226614374",
                "57762488300218865181335036478374843845",
                "323692760915908272703892620661025143403",
                "293427629883017951067917540032921862097",
                "26253959903924594474982653178285673896",
                "282400080234390466006204564245988372475",
                "268597559987544767942830627324954870470",
                "179688630475507731246935972819857052671",
                "19040170224395334679051705684819762648",
                "187312080912448206498741239127754744049",
                "154769231291229286736987858861603796894",
                "131112882208797738645078319700925762365",
                "42283206307368642124731850464765682053",
                "227165686510149064667714753784417218663",
                "310462185452850979489206376841733538908",
                "149216884075930912509743420085807470823",
                "16857247474382541943790117745304593533",
                "109251366964988195779542271739406960059",
                "159948293018911747685211884089059222259",
                "57514249943210759108382604196931301598",
                "41394373672446855423192904078927018679",
                "145382457663047504920658639530404393818",
                "187621870068185215924355248023189488042",
                "86770387075893893608174969685675103189",
                "35506406191073776178173867663601966407",
                "139775186732630787759257547168995293346",
                "291433516774765234791854345383392493326",
                "221732987628581283751331794880834704458",
                "149483095377690037433471069329301907951",
                "19693553397120555392667796296418087490",
                "214559342537605315337826774785778594409",
                "114529525444723335362741928361995139265",
                "159387823732153391921280337406308208862",
                "177616139949459428133059609815574831247",
                "35736172456338463315015219029829083657",
                "68545505133792474005043421703176967307",
                "105564848691929870846875685698652488507",
                "125007318355721499255457565955100544474",
                "254798162368874202336340181353878171269",
                "178459813674747315962111983825797162358",
                "236929095343226590735943486301369956173",
                "85931846475707481928346614618500819975",
                "176000578249018968524538965448895514591",
                "121126106641425965768773438532718714150",
                "275293028363060208289983574609048336927",
                "241820503095811899778577970827604121741",
                "273610558315830335792345883912212742928",
                "4630907067411781881454279594366035517",
                "20275259072279703211318925029209358910",
                "195546502620953961878164847280741287142",
                "184979491996446952580503197070753319350",
                "6942249258587200008485359521896790147",
                "276676623440417352725461681418742276449",
                "185011140537667125439512949203204305682",
                "227332275203373789906955249003127155187",
                "50317233781559440493150445332740575361",
                "59742636064382707628198350361860682418",
                "203669900523828569705709464463401859773",
                "274980241621829259030014128301651597547",
                "243776267385173329210334340524765956889",
                "132777806154138648350583154006206370917",
                "200323358806862315732261025634300271354",
                "268108987729777059454535926153502790804",
                "209376513387589826480291994969821058801",
                "203081414014224687517224372127513612121",
                "314414929629960360520078123782470058411",
                "245811561227625100349731617699666141225",
                "104087163529093824141728346369711073774",
                "278627423667318887835169303121050968894",
                "303605485920908042778522674481539047203",
                "244152300436973168900920489915196418030",
                "99591926634946629709667170740765150940",
                "329588722698163968089768477952977733890",
                "136171601859473899368851638569664318603",
                "1145327621014291502272856474650937239",
                "250256347093242260991912923612807735333",
                "47589950303408555744979221849741708382",
                "182340827463241272395556553721779024502",
                "134896679256937429924494531631520369310",
                "31014182756838801684853216108456610490",
                "181721612610290780455130869967523956561",
                "129623535942762038858521228275393719234",
                "320243990674000254026393681272487864703",
                "145938787732763370052916802837504939481",
                "62628625038481029954636314341805865201",
                "196115814497859007557084293235734273665",
                "94055117310248385968862113513112904193",
                "146687823097009362005440975713567258338",
                "25150155517599009627898516815676289186",
                "259590151763386333917691544334051883137",
                "336262235119366236881669652833359772583",
                "179758092433206674704877882169956593450",
                "272384696285221223935820686175944563489",
                "30829649519201206180761065451151431383",
                "175475741290464196441704778262118393070",
                "289852892907902724930620753475925916846",
                "286949052049177642341922318008037396651",
                "243161027850562490867387475150655983340",
                "58304735466747986277397166977877266275",
                "157025231097829788823494300903603941191",
                "137562114295609475805376549144727902440",
                "117502079610987380655802007887996549749",
                "32989851383797547574205355124930545007",
                "165781405332594713808529180430378660552",
                "239216490325939746733046046238647340814",
                "43803909265414453229510498464784575426",
                "7068864558202176834346894470352220951",
                "198036652764845231704387911098198201460",
                "1581882277166728244768287671939949332",
                "205238178292311607258160074994149452633",
                "269294092058967696871521780407447017602",
                "75218649094354318891422640959285658669",
                "23803738256713801457049151469643168512",
                "105521037916453252677902005586584573873",
                "41507095593990026359200963185605220848",
                "94003374656784615455841430693677265125",
                "124280365861825991027434857728378895865",
                "61301484905649512774944130617563563927",
                "146097639530682489032607462911337033734",
                "160890816138833667247841179770809123242",
                "263943333877492108699070560675677713134",
                "182430116436487234918667778719189693445",
                "112489832078429861420956323711843618150",
                "306117617952751806292412961378949587939",
                "299586894739348192210995463377430626308",
                "261939170636606926563093145087474861689",
                "129968683366218830352552369016254928687",
                "233111154915134772666477787406165713030",
                "183385628057760489100355239580538813576",
                "29854642422640979828042884269052429999",
                "96318725130629802236924821139739282823",
                "188880296226503741589477454548561953975",
                "298792749513201710811121281856875895941",
                "50349598237889014696289124301469761966",
                "72182776364785354338492322836633874793",
                "19702156183337945354109581083836330055",
                "260802587163871487282707356851801453295",
                "22639999190985002799801955742030692178",
                "188643901495770528815784098531288267882",
                "172824703690820763162129170327163894173",
                "130486430559981333061751085495619676055",
                "131814597428325033001111174282098780389",
                "238241423455717673113025405744575037964",
                "275521663795162028313260772480855667048",
                "271958829822478090328261923104952170300",
                "144540295474132157538462814549699319391",
                "25985461429068699941804141611646944094",
                "181133673500675914997811444803601061631",
                "72978083868300205811863306517329315437",
                "75692895832065688787087044769549435423",
                "251605033526908553335688145183572876769",
                "185630944013799241201525625291322878851",
                "214658050782561631634645711367673758875",
                "277592044488440704269821337705163420082",
                "339060249097585209370859545292637341755",
                "296062199664160096225288672162025335086",
                "177585079242492969464839779850032841518",
                "7996255221359257101985790543338897643",
                "232334318600396127926806914218927331829",
                "233337732695523341311832726268330390789",
                "237696461751317921676019978043053487827",
                "46200667604358144728527845384021137506",
                "248123933855137746412350516535862190253",
                "50991062306432111194014028918517770459",
                "167013222342304000601860861222372886298",
                "284827319794445123388989060926018962826",
                "107937515583142374290663780512678450373",
                "7946962548586719954845256903098164289",
                "189990800269422072761379318702507280398",
                "173701697008373615326013989147029856745",
                "177697801207462152345917571301590176214",
                "174170307837913618000235452082192802016",
                "245323895991465105766696957775097479016",
                "148054489865511531779881075752054278134",
                "276578678391719037707681785628262143653",
                "243127937786328501545871633012655242799",
                "154175971345570819961522323659509519017",
                "88675500307190537091632073543795952687",
                "98949763694540320453056770337637221129",
                "190806942652339816537085554533836961137",
                "75724990612543959446713690272211659601",
                "45667060123134098776668706141605681488",
                "178459846912832559940248287496548350794",
                "153888281241446667883138996223522905750",
                "84230805577052917980825193356129433293",
                "313744639821638901566273828732114432400",
                "95196954343904385652132450825933602710",
                "241499761189531592283291338326478070949",
                "261013547098346111390768003221401510209",
                "204285700066063139223223638648367834969",
                "48611534706350990203618040343854040404",
                "112127918825885931046931252007948335850",
                "119491347872981158454958623720474870887",
                "308133065272905535779085352210001992730",
                "331679929746489589835658162825330599125",
                "263377168139738831436415570305381803490",
                "271469051822749647290674078019464382583",
                "29688111850450961360787645418389445101",
                "293808783528083730672607520614091414865",
                "81023480826894523429408825722213849498",
                "152706045755032604737648578072412848599",
                "108868340709365903497629801095848223725",
                "326773878718498114368316143236103771590",
                "261464655272771303379386557472042755681",
                "54812845126902851170769418339668917943",
                "131230810103935326500160030328009442564",
                "262563219947326554448239519042653397020",
                "322417545584697333394300944211984947448",
                "94314662660591137159229928890732167582",
                "225531413070272027484024424573044392551",
                "114889323426113374910828794074461184176",
                "307441068599227386869986533775226651218",
                "99108155653062666071881369352867400401",
                "192340211175213751649973134762665084498",
                "158588861643715374125986420445593183669",
                "8783748144970103349496035349137176962",
                "279966758202581543589649743615270538252",
                "224757123667323642537455684337477472474",
                "9665741591115827201808468167607576186",
                "41721801013858489005000062279859373024",
                "118927546586800446226973063300803664657",
                "178298767036400831012292117735066657313",
                "151184824423227373494245182249373060344",
                "236256625699361206262504545490421935589",
                "51063095101721285457928572332602721241",
                "102271980902129335650449441789799938545",
                "139902084839388664819894300442672827653",
                "42135943937337123247034420482344152995",
                "199437317006117465616036379147520805558",
                "321803445542025297227484383479273546493",
                "303691713986029981953743225196624019212",
                "276235349967393673617545069971418263369",
                "270479308556950821328479271733491820940",
                "167980190012241437311739782484952709668",
                "288736986076092543455994920184533692412",
                "240729382721534506803492574206289910189",
                "258655624197267970176711988732245539786",
                "114861644531753454377815164879147627729",
                "116476385898819305124177831207671403102",
                "236400833122608444948002006144242175696",
                "273090728129078690532586397864839424819",
                "92834561274526227071877378394535772163",
                "147956829438987059401368468956952458839",
                "278205398799348543452167415848440545600",
                "94808499183897069467640861181562979943",
                "84516973404246447334441081826963772985",
                "116110706882949896290704057824295287453",
                "91112907110107475484591649503675425525",
                "193362500397618100113311698280491919754",
                "132103554852851900689530501788672995008",
                "281018907738734035179625635670598403832",
                "82459864313953570682850299576625970362",
                "79143216713751837361536799535326406046",
                "229284990960362785025457380667269146352",
                "192773040629217940305984057478664457506",
                "331580675579561655928521171853684419698",
                "30678620774617943827901572061522899098",
                "266387353698569812790582442866696412854",
                "102893051736367917760290458918023878034",
                "146554224875678124361019362257080489422",
                "312909027243537402943856574683611816754",
                "197927262741044252932398203140629908387",
                "337118279957471356683466515012637190888",
                "161377683003693843351841286316864171079",
                "83616301265950712760395785271256749538",
                "188784635298884802420764735891183151299",
                "209617870139713322562428521733371164678",
                "46739977322363724403400979968427460328",
                "145089867790853718423757945490820621771",
                "304967150721718534279040976279905566187",
                "226134703531713152469370962302780064226",
                "163422967884030326722759957893636299930",
                "29354723348156255045013971330840282323",
                "76518221005690377583841591307724012186",
                "31783755823489147414292290059607190342",
                "281913913217848591166267871708658775711",
                "206860649282356275997752624777089528793",
                "277849591473471217582463894101605512954",
                "205458152514721082826957394371175567297",
                "188487303043707231577972553247097393221",
                "33068033649085741072633028529931482912",
                "40526575456930922049945188263785922758",
                "74540146140329611409426751250183110940",
                "43009051123975281022318701452391416310",
                "130633653243657745840859142204856451675",
                "131958990662886874637541715795178267483",
                "170004359568014950824329413769849167759",
                "163364323859950297089362489389155766080",
                "248094284147264442499124588268206790049",
                "320899645255321175468556605259682568504",
                "230340201663173050349057873363901413396",
                "167721809559153656491155947381511783506",
                "42386241448866844073062284285445783613",
                "47112476310814828100885273019779944459",
                "291072075194877408382799879624818804697",
                "255148676346477453292809229329592253769",
                "322579243817779754867741975335611178151",
                "113360741207886366715597205443654713120",
                "86122269685753550278161181219114786142",
                "50255668909622425157062614695776894037",
                "160158671291550449514869430656446704944",
                "64398140405180173664727018857997496377",
                "129123836536881555212119261785105574745",
                "269521396408986756989415423912349054269",
                "274682828395523675083703255714788164501",
                "220035922426034834569915146219121227342",
                "335753443124540434525819002952693424924",
                "283546891980650211490185099018737934672",
                "28183583526153929007788553130695680948",
                "255666430953601412708069719466767468471",
                "230771634377297461273168477564024425791",
                "260612692627447181401326244500240931203",
                "27117121236659266462381272384318478394",
                "230640839129591318735240559105576429467",
                "313639474036213901406425279761853246923",
                "329091890853046614768129046898109220024",
                "65686811537642229826900479181587778589",
                "292354039519718642287315926913405153656",
                "290248701787177222400408332849661766064",
                "61409930363465642302377028894008687469",
                "118697120261303844889138888455167547302",
                "165984243165048757579866257441555433624",
                "181617613651485135257123978475820969512",
                "27192170634192485668883456964488060741",
                "65688506275607492935390091542281803025",
                "294942305214035739452045885950467366191",
                "77557309975525176645869647511553621350",
                "186954399121270498952469255988636326089",
                "229199487766330865211577608956367623268",
                "230655831476700165545644329274413822012",
                "72459381421189376860679525860291700371",
                "157528995253702276390305004449930692314",
                "125186523564811937268976572253427995224",
                "174135816398555220301334885050015732654",
                "38412861037904432348312748857618137603",
                "132906702890958130690530755646332626056",
                "8176552266550710449841799199691391709",
                "262643820110830662090836044888479059915",
                "295166283367476741668336068036244511073",
                "189567828392340263550807306084244097020",
                "176391331918397590361851389561520669895",
                "308047353694924587011128269297221426586",
                "217149174472758681150936651646374222118",
                "105312100608305229855006138986178196412",
                "338011645420855540240332590026105909701",
                "42435330202531776930003973798646350339",
                "70309586497431775961418359858618945053",
                "285699153235183140864739958722375221103",
                "101312521977548721717929683872437835730",
                "283560708009556474253866558147393222901",
                "167908869357860825601517305519037551139",
                "176812095932461537311574506281688146174",
                "326729309014828753623607108065053847111",
                "283898206174220513514096061220546513387",
                "35486603841353692297596150011941030007",
                "272126791859521372960204182200552956209",
                "93636898660352100674534775961429362215",
                "16957495223148458353854655899622412146",
                "316712645109647079290079796992434369148",
                "105513714344542375834391203053972572422",
                "102093698797960337570622089416322824646",
                "61437873614605756743570967384424619592",
                "78896649060125652178362374032830760836",
                "172203664688528318556897366370611862776",
                "171501721715794624638628094972768701711",
                "255895535731197807300040708305357048476",
                "128358886953016378915024086027750895162",
                "129832869956065459841557902613150799509",
                "102051420068724790992765047278425565106",
                "31509893013311909279354940672941437315",
                "76792972338719521917038202268483696572",
                "296230033809906133468264170595883956404",
                "327753534120205164788901137687521906280",
                "310277952877204343472597593668409212354",
                "163220351719403483829513483523644644150",
                "322487383823280923779870687752806013524",
                "171191509059365320026024076629645404200",
                "62227629634056094150255185226931529799",
                "54785342680568937314103925438896013614",
                "116581346421801496915116861371185157172",
                "180694492209680236296098823919494521738",
                "36196328580073192619944451687369133057",
                "42578045138681965023744962447611820915",
                "27782626799017961671030960979391133488",
                "198066648785559753913402956497787637155",
                "92798679441288489768171800270218749131",
                "203545827413656750470762490500040777751",
                "283654811220495249482452011570532309993",
                "27752501498331164641374691372674763709",
                "60045372820312969043142027898048393277",
                "170796982033568851524239097487068207462",
                "95120990764702931451625460384428458507",
                "72804035064278116953312167798132102494",
                "75638030037415743023844848680706434233",
                "75734574585815840132823005409506132583",
                "138929614426489510001225734518472715880",
                "174266375297151742264389729956522523792",
                "165244464045220419307108259976507932411",
                "174568294011126619687503640126881234116",
                "116466283993892333242662869463935852079",
                "249028560599169390280325332518135938812",
                "177871086519177151044323422178739648646",
                "285142085144240075244067233658596574455",
                "156260298501378838747182275223702762821",
                "312478378324063995117247513339470790256",
                "4626494145915707247937187304111980463",
                "291972779734192611501792146236597725057",
                "38182659171825368440499300303464779111",
                "227350133313074650541797521992227918656",
                "115599004954015027822038049652049798841",
                "39602151496856883080471705567976788694",
                "234783277641032845258462110961552684854",
                "149245904692768646953988492051314052767",
                "14993176794085704040113277346367743266",
                "112231226672630797896788891070762987093",
                "272852165612035748605320679660687955700",
                "294324265074899816645234666520018450977",
                "119426605561609691969299716364011332370",
                "5193053776561843450120347270895849177",
                "333817837985304338957000699293677520795",
                "286419064583288560126567473542315901696",
                "319518376346998875376773238173053350202",
                "310528047995755109774618978303006907238",
                "337993294941956660690021868066737738994",
                "54809142262130261227508730969828197426",
                "187924514502303341082904876162165235641",
                "292046608517852952369878062989860514600",
                "68436107083337328066347585632719360009",
                "129662187394410139044194562583201026414",
                "311491780443583915996196613668142762388",
                "22203727484021777939141843092551874421",
                "339933106661286333554605482668465217614",
                "120754153088105161843156862690932889225",
                "245737774294919575425147195716074782794",
                "148753101611831285048311248062460677861",
                "130099187208425793378054800346682984367",
                "161892654916735440402515906539246509485",
                "176382115745115408407732764341143224890",
                "34682817996236955108631289928534814125",
                "165061549921292157914523270139543503367",
                "296102553668351052776249226948082012159",
                "94396541788220475343639911307511397393",
                "95125320780846555017038310002530368748",
                "114189700558707295837591280175552045752",
                "84671885131875051495965912177229008219",
                "321906984494047734146697464312034622711",
                "287402974767814781075732293226015572920",
                "124119329179313733300191695253708687547",
                "176222051573539837659711823728357534783",
                "301668118832957733026430027263358592989",
                "326307300410704578863826689493950158068",
                "44937081882599984597852364279648211138",
                "304657059861734774970918457677180694395",
                "234756806398007515741267854326468121907",
                "89341865313829641543629294479239788281",
                "179777247269609913249908406744583591810",
                "318962243387154686154593790685295986984",
                "27904636297331763554488110315140027948",
                "117096838696473103707190326791793084307",
                "143091805552620083689853153314214535046",
                "266431219826374784290563658077711984863",
                "129240690792950376703951969121303495435",
                "3500907600991702568857772461923036964",
                "146720667883321399268742884517759962776",
                "310381668616784950477194370682755027005",
                "26963431398769260738714152138966645305",
                "52793958957757067498753691637550623106",
                "35629474110649212159734961257246318864",
                "253020158504967143632063898165154158126",
                "29844765323669206921368648288753676249",
                "164297906298768333561838144661069360341",
                "322840584954022115918421846102584607567",
                "288231595085791564577682201175548089387",
                "182822177180815504580573141116156421807",
                "240521703160030592880882469191395362965",
                "316665341289849397621544242941472745570",
                "245919754909811625950994780856314862282",
                "279813615894793066106400577744923756665",
                "158420892608741098872473906438761702020",
                "245001634328799392420820410556415027737",
                "140359917652901984205092738152344386422",
                "247475371138568667731555941639476249936",
                "45872241366537913474792218480420382365",
                "61145976675783849465106865637156650959",
                "34491355305390316891149376983762650713",
                "108961015187190721718716666558308182376",
                "129653287766124520221525060521890955716",
                "114957177035784552055146185985817307920",
                "228581428832274612845977894013749240639",
                "59097162406039958116076656813083988939",
                "32939473519359916032474724357152114975",
                "221634572170699294739465082113488095696",
                "178228019013064805440642690060627033464",
                "58554250641912718037925594666832378821",
                "238716362817345132755355832965647030383",
                "40829460504770632764749650280650605358",
                "13515010915497701637135751436937821179",
                "284111125284839476727041132147080162060",
                "230251857738652252769890126316440106419",
                "278211110515136604267556010228320474361",
                "58646201423603684334298968966952004568",
                "162724244690005269174728219724516813875",
                "216234700052351679186735958769190325250",
                "140323251282529074140540791842475873673",
                "152041112657103716916708158036521709806",
                "103386690138959346323373915754767935466",
                "169150585327055869417983321902594784236",
                "320141668615229740080730758739625047601",
                "65165984596130396371373742107748026153",
                "80060493040422047292492615072420121801",
                "162346489169950943375903509812048565574",
                "62173188333391987693775506691902994902",
                "79849362411020548876943490528714167726",
                "65713735861967108630571998312666947912",
                "195462741668942893748843703297848005145",
                "93745849429155348512203580738077277303",
                "274729174320870001745844799358817605041",
                "46537263281305989832607349687317171726",
                "130441265693633567442468542395057101413",
                "130329714851349460727253357242400614671",
                "89298030802624202435331763307662197925",
                "316830485360579584184961432864553417982",
                "260247567188798630330258323194848996235",
                "45113724553329579856937070357268862946",
                "258574761171149766060162020072654297991",
                "314460325956880249978222595029843338677",
                "208200391006287187954595049477950911226",
                "258410093307487598107545813085346697295",
                "192192081145797912346099307890825482022",
                "28841129202860522919228974719597090139",
                "316137361249526222209785927893853717041",
                "95211191979976918682420949229110319547",
                "185398493036333417119974017791740162784",
                "75276742152647847295348772799678144858",
                "58079676075125460800246196374719579533",
                "338071882577150825772110445204833451863",
                "133182522954101362995537174836167003520",
                "186617902398562937305963443747868227545",
                "242115538133343039694740010000386529032",
                "86792521087952761586939419537691424764",
                "289941573859328632230649181028184298496",
                "73726961778981112920271567777066724330",
                "295353616060260554255194756426396055796",
                "13682835756197697681694031112021536821",
                "231434798552822151081854714419171318613",
                "45187157667527462963914606036820781243",
                "206628156288400208601106784475080408197",
                "6315757512164683492203332926118705872",
                "197376292650799457472660971073374576828",
                "148610921687715012161979736743345229467",
                "51018162889946617359698457878670246539",
                "252135445528457068813261016625610161338",
                "163695588510549147854191289829377796273",
                "83161801095427118634971743364088379787",
                "210012638639015811492265384542438836065",
                "6255667094562306262911926250318544651",
                "192922085157581237698999119977320056228",
                "99133171715306701445243272856532635788",
                "163664079016163324541186742587826247025",
                "303988248371745841226144170246765725678",
                "147485547602210583088792550362140939531",
                "266068174313029105577379125263753304660",
                "27107648758391821380480288509667360136",
                "86904920864360816978048056611627534310",
                "5640365527203758020381872106885496569",
                "233689353576433669725667456233682536480",
                "155573576158226714077736162159770417174",
                "280769058536187360718666671939209433427",
                "146715374110647422846223176208499028182",
                "303048530531423480124230688958288138043",
                "13641715596923247917422100396224974952",
                "338397238892815763797370318436076703398",
                "283186105782797295903856206166503038028",
                "44350610693353245613461956572806901253",
                "223571371325524901933236758001148464398",
                "215840141049968841339487324000723152169",
                "24747990736738571084738701499257970205",
                "247129491971889126217976094583682655263",
                "105591646186138401530839659867912520671",
                "265009287340638862659709179279429609287",
                "145488596534232551184973854569245976914",
                "112541934384452036201247768537577395415",
                "49258961232446977119143749523334738732",
                "61390643579980971864254296021405258506",
                "59119268413127675079033181814647721196",
                "88409912097108703411930465584747787758",
                "56469916224317227168694686737728083078",
                "222598232745406140733558984431883913846",
                "304006391136330644263762837065270938987",
                "330405566069534239084170857436724379985",
                "198577875425930006317642830204097017074",
                "34946524970907424769087572916366720070",
                "82586149711751058068072357191323679045",
                "284573729537229479309083295432582822626",
                "277186421089309803073853845221253874167",
                "289154372517421667848103027448796966026",
                "157218598637493926944084844873313232435",
                "299670009579782039554315076028710698460",
                "24908150538190575964553696311621303560",
                "176856425559908090657264754210782191382",
                "34364441876253661723047553115341142351",
                "244735500945498426529283430453523736122",
                "200398812030593743194364210521206883639",
                "6691486603361230473410783501457709110",
                "309687429721278073351986106680177482058",
                "312172755228290494775716357894003133487",
                "244820591431472462099441149986583948028",
                "338480280079766540353863918715189629766",
                "35259239325716050525162845310644609339",
                "259790599663612268297958932341963595944",
                "179213777590355290563894978211061669975",
                "220937041775138566352688499610232077503",
                "312449426174663818909807917386805923196",
                "88183039554169467842562764972182827627",
                "277507770806140558424475485540986856855",
                "115483341275899688990485936802897473601",
                "88139707532565775808445354337299446327",
                "289845777536869234214322096442850741076",
                "76440768995046842208177473787039412474",
                "42585258143800472201308722839012914286",
                "270882883569454386428476308082780954363",
                "108397106183424543557417622880085155473",
                "10082196753540893380144358133093204968",
                "22136383152416702225298776822849484924",
                "137458009566418318054986954006510574282",
                "29533413079700353425455967366574744299",
                "306326516755342495217977994859023299112",
                "18879377916963197069414887630356700811",
                "164926691490983230663444624376473974251",
                "74996358102314902192966431416472593376",
                "244114401248379963246514602074617185599",
                "19219423585698817931439559247776464207",
                "314345212386601051548721387931308447054",
                "246122344628770232891073952452056642319",
                "120517348229921418503865184597111327296",
                "288531433431964456635338622320815738341",
                "20816741029296750243829630381558326599",
                "126967736045037544610308812425697043164",
                "154320019758469991876026199427127307532",
                "169227697948894500797495641982189387204",
                "265271794929801092062257083892461560844",
                "286596106068044005342164328288539055325",
                "12305264525655255640669875972555201222",
                "177837713975165949873586111033347510230",
                "48910964992647604650780520805007783657",
                "244235622757293302982846378728083903904",
                "122082067296424638231799184184031961077",
                "142655595661398854846201790947670436528",
                "113076340436126791770279483537582230293",
                "103648375722440966704720008534987447964",
                "262241977289136788978798487142473024091",
                "212771399008241810522928925139342694504",
                "306282293317002738653033225479188125592",
                "189056582664528783518459122719249679211",
                "172008403135734556445055023940218736655",
                "311542325890290069556936656285383762897",
                "187439431760251776740901163874591841681",
                "106998171130002589092225738706446874641",
                "148301395862153625320007111426048386602",
                "114234093018983759318303068191617150246",
                "187566952234212364511761547341300524320",
                "155489313594619098980832980087388381245",
                "303510746200276480083251177973558142609",
                "271152146262867739009156735136195125607",
                "310180108522576051245760649898404224409",
                "148571934280432733759833835880373045331",
                "127920082891490321198394670896135173183",
                "12186993495840132259189181462626909355",
                "50649190105941185470664549868863641617",
                "266362261356444218152464052689855806518",
                "259083701465241256007543487594129656998",
                "39636515963011751987248892551046925106",
                "276538444099669870136246246662167215620",
                "243567356217495541492660202960773064674",
                "56302190963812641990118769511708769668",
                "91404303653494121986116103168423501381",
                "41595546703331021464192625402010634858",
                "21076055054908506783974574842624052764",
                "244386546275763188576504976073285170796",
                "57660271273232450878193949335058668269",
                "3380791297950033062461993372869446249",
                "245696605053628264438136721176592707450",
                "275803502071600985356733805403490042315",
                "99801749108937149128479810484996142862",
                "271100701381619273253079635760013372901",
                "327083106887350194683576667936237475180",
                "106024304230010242827018749085771942674",
                "4279902219337321335210969087883682615",
                "138751663560778097237109274586822271778",
                "133833070127744710957680465603768988681",
                "29401594645645043064396579394693789198",
                "128644321038103006152300079563880182209",
                "269496110181817327665703051205998647481",
                "232265608702909869952534356429611157214",
                "156564682372339156390057102742746751607",
                "312395656697831921971574008475415329652",
                "57168586840644373509184242822820738438",
                "63665421452937541677762565242424358795",
                "15525309244483001399958395213119182956",
                "108527574201525978225831877350445226074",
                "135530693056447874133242884753998817228",
                "204282554246844575541223319548636696613",
                "5677729463298145344526470835589039469",
                "101056297669384580896856177911937838890",
                "13114707698973897599808972672803141241",
                "292208731183446826231589586297010389758",
                "107862246732383648106532346005236927914",
                "301698345942084093668633559059961852553",
                "61584028557988195904996685100449175071",
                "232512019881570707968242143003577242831",
                "40975507450310877442667450653152351647",
                "204406473133036529667267166748942278246",
                "226474031996967474016964203156830999277",
                "267745595240586880995413950862706423692",
                "328776782626725130515848974670620633598",
                "152372946225928148497296958549579832636",
                "98823429178727214721131515208279349861",
                "13781017214824880389110375740881879340",
                "64326676537008516930896166416660294003",
                "216553731255116210199745248830709788105",
                "274300235594300803438820796339300606521",
                "68534746552032321761229521294377348005",
                "53285629733573300124358243009175396865",
                "285914720631093106737481095131818496917",
                "141450645710235668865723731649754045948",
                "149102507349586947194753968436130846809",
                "174711181471867927649127717583276381662",
                "53614456254413274453800216198443563150",
                "93321366361618468122937720594632425065",
                "131139568053616950469680948565770279413",
                "3220358570352727727853607047755916082",
                "293198880134137591348390172722771268927",
                "71658063048184710447748162545565453173",
                "336750727794380663376757529436456823810",
                "286535664036906301280870192211562918243",
                "215805154605876845730236082631565098988",
                "46624922666596476790928890714409374822",
                "41505877583716056678360895539609192120",
                "111063268922130510554965178653615641019",
                "102683361084942486459987648513925960131",
                "333768402689570404851493345650324407364",
                "326288640771616207331166290622532441222",
                "241008591391835801869485183319169908396",
                "53911463943869339131227095623740427056",
                "177027734665209041305131270467304899563",
                "74182907040679651128496658034656368160",
                "25432336397529327545074333696029495092",
                "4435940013165717274333787530102935559",
                "202909664059213495742034793761775008674",
                "111927792619250296045948020527683427450",
                "198685969462735054947525709686098213998",
                "260847940621131236334329048259441801975",
                "12609389795178396085094995752121036023",
                "71432082418813418864837994242005690047",
                "39629321768988344104725464264651934923",
                "337855328934022688388792855450494782626",
                "262133796182189471885262048984913710915",
                "9187282417041649768855485625323760737",
                "200077799701431949995905566955140526280",
                "297377682185938148941260973507398319960",
                "135300055818206814671660741819634310479",
                "130257721607731711921328618952408548597",
                "200747671607216309232020643080146541956",
                "16525386892577214409307477275675790999",
                "189476578804190141030900360498246135013",
                "118709362576954185862992247372702147844",
                "123839894724443153841280006636067700246",
                "62309038724864756093027273565751048279",
                "140613029045875642058687236240815675900",
                "165217750518067030666344485297356538081",
                "176721476357739418108340000088499273001",
                "42033667359956440738830550012842261307",
                "126564752629422958797894288993094602871",
                "314181791847344558604535940297867054610",
                "53421510449879447902406058707912324393",
                "250013265100969428504204155221175184364",
                "236406346287757237477766057470759692337",
                "206864088132176614975227566956800834962",
                "339774764062428714812231688005676236478",
                "70493856548323580379208155409863552809",
                "9386522959214627045092099836942604950",
                "312392695475720726914843403983339334542",
                "238371274038733581626096703937131934742",
                "318758709255091356931514161379253375655",
                "256858682760092545423762278036700519585",
                "210745122281185785334725074439194589978",
                "2595889961835172615841048039183712499",
                "180590352044384052069296308738493578776",
                "251352226843809315583180434580098400070",
                "189588663237758266368841468707387104533",
                "69732185358858602850301929659576847028",
                "297151347823834678064076411581093680505",
                "31897385018393323934362742760737307038",
                "268551013437313160340366406013321169535",
                "143581622620456781271512187772147551120",
                "161202108197680911394852200781420669754",
                "252891411453880307485116546730821207034",
                "54908728909765586153754851881274334670",
                "82491605563502624739355034341130335335",
                "58383144044876240321522207923467943813",
                "206090137383517065549903635747156720414",
                "171589112281455730855323028301587984693",
                "306593290177622141076497861060846219252",
                "170087551499411125677424283160771180823",
                "282044352015402668380999481122199770134",
                "314482896424410532803608982886395779686",
                "105884101515157065949106312296031121637",
                "26765430238973511048551275505162337491",
                "140054422059830953224708904081252565260",
                "161412123249686339583878664925454233620",
                "34333679643002349150915254598597514872",
                "284803066136850537993682979423082599413",
                "262987836582601040233864634121620984176",
                "268244415991316174535659230682182703101",
                "87879275280924667264963261606948626625",
                "191707578774390033842492797988845048538",
                "188467115659918639978372640531490766091",
                "90084015961127282207844114613088683238",
                "306253499027875649781471802823047444854",
                "215286685076001172644464925755746030270",
                "58506543288571378722110267226094082043",
                "329430561000050756413980241165629035475",
                "165781533867392652417699956013160431904",
                "319359539509875219304948043892688637419",
                "240115694318179107877976183591979754439",
                "76040069460382235473793679393906859155",
                "333438988685334776234817679958063135134",
                "334016302606657421492267147857397486608",
                "94776999722297415249047399518208685075",
                "264383364991223299405969602589589732289",
                "67636093222246951468900236912378143438",
                "101940003473357524212333051970040999849",
                "10911340519430418977495527146130001269",
                "71414810220534501015675842547235559000",
                "73978353238839170522479178842108987395",
                "64998235516771615624495844441965310577",
                "39007628981118234434523768664603952486",
                "269799494985302044593766098395746200808",
                "139012890277412987131845207592075664869",
                "139336817614757325504168603964556162211",
                "201929456226400617712768347233522664963",
                "16296174511516457029852526388073149751",
                "24291916020984081689045586671069949380",
                "185559055033118294687564181434782149932",
                "221097612620375719154711040242841347169",
                "240286001039935715678793427869575380198",
                "142060008824300476489217135934282040523",
                "245701673786332674637661157799517991941",
                "161040333239534275328781658651589259212",
                "156243189579415549280025766353882346756",
                "278915278627587768395992901655187852809",
                "63223904030574458693953677591062605541",
                "129676549634318196717483103702326332194",
                "96559897112681154669248592654683135657",
                "208472459190490880111294090042986622568",
                "147164740109125914503463396977741280013",
                "74283168227591152246885528094333230189",
                "289534301088950823403833051456855430379",
                "224891077120426749606236700911890601059",
                "100564645983521202013474926840610225398",
                "269844592042203306579781589913117536355",
                "118804717580735048076840949748803453784",
                "275337726209861921539036505381084470243",
                "18015395682397685830593443628768393736",
                "186718336789826192051841117003610464918",
                "263958980951517406686896422554195188610",
                "55602804388481849991914860174898654011",
                "172315308428803199920222725447475932881",
                "94642810915664093491622268594634929106",
                "207850352729703320000082605421549623326",
                "300069880187670981937965774045546544114",
                "122387472816307101232934319825696201492",
                "169921725870633155066108370518297755797",
                "199139593421409160828915763553607126109",
                "172474136095034781024285916548690053633",
                "195568920355272922113331117033129512840",
                "304856003015262498019200346186229028141",
                "6402407181038314403838919310148601365",
                "184532259712180426200891002081576725635",
                "25259713391349905931231200446434283505",
                "91106314485428608137449178545741628540",
                "237510670475182607040757214710384166095",
                "230729769867562441175963735076501094152",
                "277086901223023518400089905001781455386",
                "81093223030551013422296918122871248364",
                "173671046684364734867243948633728793555",
                "83098455986048210513586160353166485654",
                "74927952913817869613360643662214832700",
                "237468008664788183529799009528125087441",
                "180658675483340834432214471858490484289",
                "29073177674368323454897418311956785027",
                "293750204695923690975647640958426928362",
                "69130440226721835295385873002437962738",
                "126206658672309130168363956995674182419",
                "259578413300050272178165272021894555175",
                "160367277920184425505906941249775506757",
                "309442058441171037588747162085602893948",
                "199520566422191619509843061119991520502",
                "156536022963635516837806233795662254520",
                "49786635105378187702046948705645165426",
                "14014723888801279153880348986578268362",
                "298188500864668427804879189254143832710",
                "261723152431605096109928860370686536601",
                "141800032049631401126181731276006971656",
                "56795381385565254903080457286233419957",
                "118491435478848289237455657500138177852",
                "276712668113125812848424575095900700123",
                "195945465187097457429008497075752975900",
                "195014072530483263454460057039721074933",
                "66335980933893168115006843078018137504",
                "154136134033184374163467613488823663552",
                "155321412670073338649687253482178321872",
                "286808876363535757956651720212259475433",
                "338504634375495188089679028255745548245",
                "229106358692744829707576729709571745479",
                "204565369054611700829273190051035888500",
                "236533563165051276376222648418129482452",
                "288901937835549365433045471756647466263",
                "161087825304240081047482912178596810666",
                "64015732802187204195894587599691459355",
                "69288162926733815253373432569280530266",
                "30941018762256284794995458957055271396",
                "291449951708874222188761594240014412774",
                "116394188430980133243934475224421275792",
                "117610623435918306479686631270401297982",
                "125352745365861625002560711559771483872",
                "133858583733015369367095533593101545422",
                "152121655843257013784993687299278945848",
                "19592178480255975445678930686941245987",
                "176651833532992304697108523941622073043",
                "314462276097952189326898855342236923712",
                "244849671028839920704944748209915904316",
                "182845430206614694659737919731501081481",
                "255753113731116550980352650191585370364",
                "333753196094601606308912669710268787212",
                "171696919878628373050374155159243650970",
                "288387506688885652929384783265380523491",
                "3732570894744709499485040900996461332",
                "67986589288010097096456347975028032692",
                "28954240909802990323802567738198009520",
                "163441545946324943164542162604876399220",
                "129800387458462696498201013289401253404",
                "328786426707065399730005535954612459536",
                "103098301347966075978282319969870662681",
                "132656189994434509993797803812045630987",
                "5282446505066645987767437341225222841",
                "129160204846708345867758207307590685739",
                "124580028424053907596454732541417605849",
                "275889471976999488221727096958108471610",
                "203022200621375288317764153149894180341",
                "174709267844223937940327148654680930950",
                "283764072487092576119422668579585234758",
                "232869519408875422877760441976309038292",
                "231621127867753452815442423623852143585",
                "25509704273893573225087747534755743359",
                "270761779363032328821056546009992617789",
                "138114596721807248528552970184695919238",
                "18322788378338557632570553562434447040",
                "119964305774064105916431399706118510526",
                "1833112553425455580061889187480088529",
                "96354738415114231379819335524954620092",
                "45757374973201157891812310301281412312",
                "157043729366840549937264444307226402637",
                "131411194267348051210650632664086425324",
                "31894918590703554841568681507308176590",
                "271089124073760232902048152167219624284",
                "88711869125864872939977856913856593735",
                "332782090354340093515388212399427811640",
                "78113439718336883498079322224896471141",
                "140667597926695935577072890006440571862",
                "270578406496928324170321423106400692006",
                "21724332669840471985850826176907359235",
                "300939421290763660143140216345650397152",
                "56780186626487198978356343639827934286",
                "104822254811825250296318314069110222454",
                "300413473840664192010037951809136799083",
                "298132033884450801493780140613062242961",
                "107500553410878002301684714650835609158",
                "118703613309645751777885599417139579159",
                "154777989470149353495268273997559811607",
                "5181938054608565631895886254779187187",
                "57393719090458316645219215316228861061",
                "282042524467315206776663551789218677805",
                "188250572667947935778167680263947028658",
                "306673255206974265849517733536029003931",
                "10708179477961080280628476565386006100",
                "154442508980623140747421667394255928501",
                "195190582304087204289753923138262283874",
                "312329452276359955295646433297704794792",
                "315852694456995232258599410686887166967",
                "6187575239501225034150904171632102670",
                "164542807544711248244684861209436002883",
                "89648554952002292045212673166857216208",
                "120366249554174891715771134823359090892",
                "217242788597856678411560829981252849057",
                "182294456188023310469008829467238499234",
                "169610421754185226345317827080627708811",
                "334920795121689158453340629465618827010",
                "45718119288696183234526138789498185172",
                "5097496680330599331725470317606254717",
                "207288682678828129781790550263861629123",
                "315414096086699914417742836053135531625",
                "81349121225051900507929150539116659287",
                "12533864459854323556213937048914588216",
                "27952159669778491169682351452031632638",
                "316206608615523334533422353039693472795",
                "146902751722008873579076969459755163067",
                "36994640795852936586857134985804111222",
                "146347395637674655427621594092124833391",
                "203448636468977895817995808506933137827",
                "249626613890776537237711912985043676407",
                "10155959868957589235205066816319992093",
                "29806396946403086704194692406829536686",
                "84803370866166523269343865520443913429",
                "36795137561738138754923592696104495955",
                "72027799399165678251194799066273342692",
                "151344987384910396169181754073535092307",
                "193340092030027245995415625131628439865",
                "84557013572597374599188030075812181505",
                "218404208843128985837475595851420660864",
                "149466558860761084381753533322831823994",
                "256163410681847386279961028110045154034",
                "153096972130029255395624168460559512296",
                "48735822094480523721989157889953319576",
                "113131848802391363138230418832016925742",
                "295023667314582801899436384025557039807",
                "329954772372319286507566903107943234283",
                "130664232575910845367371159745222303589",
                "104505406042003863555586808284009259531",
                "110853486870858231836152284065048066254",
                "257756837563200853172882407266177538061",
                "248182213522827921218128855415728602235",
                "108289462698754765825878290311892841488",
                "198540497235831232964546971390424661975",
                "35925550757491026915234650251233959884",
                "40947976143806914238741272407602967097",
                "22733476513675215511379270320074472507",
                "31741145868558270165675246244491801384",
                "136221844235666524677408205315060244226",
                "217400083442387289916536750145531725660",
                "123004869588293678118668648853793408511",
                "193607186014369543974903126751171838244",
                "195121666811031995256103693096546048981",
                "165842121587815980727344871373932377933",
                "274755266781221399106995949050709899568",
                "65060381326016935713005602717328506778",
                "82496033377093155076656997932654420571",
                "291556874935418185024712362679870377709",
                "314619652492216908468309719790814663434",
                "106714299672987802879766800770521027619",
                "170075382426706645302354811276358590393",
                "128936055686368440073381952313438084967",
                "223878822272942239251613524330347868245",
                "337543347947702401405343436372829987027",
                "93803465591713518403888088320878669630",
                "263741527731603556904950040553272749740",
                "116128400544102118444149161808634090314",
                "136274244386132339291354580764506834441",
                "195135364825693399819829653936030677843",
                "229355688219307101669383534832468050497",
                "241585958402635423589737664673771830262",
                "105559148374357550085362689834364398308",
                "100693935720330928192407656502088026444",
                "37454398539472272976375201307865127956",
                "15419075540534142891034474262313469774",
                "228164891505656396047276803879308033321",
                "122301845461214221248418709697766724791",
                "160181403419031134019068021862648057402",
                "24518464023993299009707141153108606927",
                "146083131120743715799267054654482918800",
                "58253017127220327739605867269676950041",
                "1781051424606723924516355059901710983",
                "137276316296492554331444501556269337614",
                "164309206926365407855142697898996254116",
                "301682465860050749118864364443969988397",
                "44446650734315117959797833932991493396",
                "32738353368072227438446432752281199685",
                "301021145120985948465133278955180853645",
                "227186776419520382610512409333610435139",
                "36341808127289964343550237350177369415",
                "317044052545192438348835988745738215668",
                "82056683959156109085869596479356025157",
                "228818222960419320357524426904389834034",
                "97248627263273720133025380526925177777",
                "22470503282918289306924675841288263884",
                "88500523267406032718984103968553581150",
                "286283882314317629999928164395106223037",
                "212142836511509327755729300395297264080",
                "270167094218947184941520425539755529651",
                "110016623997487324525268949056857533055",
                "87102051750563641945631721544676762793",
                "146873357919351585750591757660507305758",
                "57801992999995607896962697679733120328",
                "18246821341368831482569631237451354311",
                "291403453918524561338463938029480143362",
                "236259159303399895766959685211789922236",
                "170139275227974484870486776208571973317",
                "333950051161486245729784638225160219140",
                "283881054490109506984405332693445781751",
                "427068438752463065747518976751157487",
                "264353388976589071462295548120895487449",
                "109589865127071198987011858368325484675",
                "250682325166210319292950011337394710220",
                "334570653078468292137855218475162229584",
                "185615449290604291174669686098983715065",
                "168365030580936835303871220348988477323",
                "59905327879413500555846378902337732123",
                "323284668750190254764906204039708885095",
                "233208787955847652978351562082959289481",
                "69660690371736447577113034148963693924",
                "294639982751123513025429225658297348212",
                "118396400068714476030160859673501680638",
                "263637198056348691487060098084063013126",
                "74216496748963084396792043399761787148",
                "30109023699369756905720341259611523359",
                "56408381093144680410049520743011841219",
                "321825982034745850938378174879703302130",
                "218984435450684929315716508940551826343",
                "126243179360689649610693178253967393096",
                "221523858566603787345378112112505458800",
                "146513688526496213888161070673902135852",
                "633213215975633076472246682982788227",
                "163692794044151336218792127120323747017",
                "9118170755300667234989436633599718739",
                "103714417647036376487094960436971669432",
                "196293497538150091961381995228450633298",
                "15055033445734338422094600826545763924",
                "136137675517665899007830374386391645836",
                "192616111502403719320800805452746628653",
                "275308382187855527503560675034395796167",
                "311925150056029503409293663222127406567",
                "72891266228770084717008865520248512059",
                "229767359871224168212852959687425492511",
                "191200157343821476848880366858081226554",
                "294335409317138233469912905600883281041",
                "326220591197304016230145771141222381756",
                "129578516878567493285930458273707915663",
                "243375909001787245919538240440254069623",
                "276731263232166734319625958853392818974",
                "183730734562904754590677245791453783031",
                "125824012596881547372944396779918117195",
                "284883733853692719528333219097388479094",
                "71342838134346702904102388108301927628",
                "282029244461390974922970152715243787229",
                "16229439401778052076231716031614135500",
                "162385074103198420328754263906620359401",
                "213167347824897547218583158959832160459",
                "102897719763133048611093275752283517327",
                "74323048967325026113955535554428102982",
                "144301624947050068148595779849381033493",
                "139879695877105154302415154967912713784",
                "56012092065891711159927336343549068569",
                "29153848778155632733699871719661581551",
                "241874556744835124074290915277529144913",
                "25266416188412989317839783440786477906",
                "235305411933759546690078373329200647623",
                "254667843535219838695991052532944706146",
                "113502520865656892661332748974260562902",
                "185170338322352096411155435408913453964",
                "322014491466061035620120143754152500928",
                "175491010095997034804311934607037415649",
                "21280493767173875951566997677205308559",
                "288854781783140183880767058850523708",
                "222922607930744382018148388664181871051",
                "37512551080444091442395023706158638382",
                "57016868744732534810690523756652515838",
                "187168121973464745497436412604994957631",
                "187070060277464619645526697050992209536",
                "290219232294964546893663334469454701994",
                "104669158127039590813057748912341686876",
                "120372288374647108182574412110282540320",
                "62851722164513726054296554662955431031",
                "178884610069993828949151056208958516048",
                "173361903887853597684284415512894824355",
                "54565183860381928516149177874330402530",
                "320119389804135585654676579770911978414",
                "177980638106492049467137760909908128308",
                "257916983860061999840653481956089654182",
                "279467209180678491300639162936998029540",
                "44850471225148293870249075690696210996",
                "113685729176026715411005087739181384778",
                "306746737686670123323195742351268256575",
                "730516106388659027492859201430234017",
                "143691173127266421714363022773324615143",
                "21847586530121838735815655855591470935",
                "215103599356011455917820458549973611513",
                "140367595820062918163139720340500478456",
                "25475737562768249417340159867857249312",
                "256918085872182342143052342859289079309",
                "127727883937411797454926050308333898092",
                "222831604675167622486956327188253279986",
                "111181555754062479660109662001994911709",
                "248965081687001632324766184491080846534",
                "276964398900641368455745553467848945436",
                "102581903225422455645275420237675226547",
                "160258087870294976218325207600878165365",
                "107469665536804204479465549332248271732",
                "333569636216232180154786707650439223751",
                "232471687497509458517637678893572598775",
                "76898016876884683853311656777860657549",
                "168008494599655861375996656729061268225",
                "303119077999149935501772317086359795756",
                "246935989840272312285465755602511307132",
                "221307468126818347994138812521876312943",
                "213242155082403800748542140953965381927",
                "165611683738769352105439988828589682008",
                "59663898775549512593927942018809275756",
                "208610081806592620941958731752232370665",
                "20167367155232492955584692263344029486",
                "204072770650979340226372791379164010956",
                "139387422813579348709791784041669622587",
                "20332347932319332996660740701659148761",
                "132283833348152099131483711831623550688",
                "72083572093517219331491798407660037110",
                "181888205558558626460838449192498312300",
                "249901645279839189047421010910736726038",
                "183252291349292259575746369558040481063",
                "126532624100203113606821153209003542777",
                "92676893969157178264895704277236555141",
                "125541463670023297301722522418202078349",
                "36268249833944440701375363987194786385",
                "189379733974071441670714471997679363119",
                "304931730874581713536550560946863285495",
                "68763494325702713818818725712294369139",
                "86037961963827726794356666931777366744",
                "266118590872624067620633353745201081969",
                "217630643839227511446698450903556851120",
                "261078131120074633761354235805236282829",
                "87262498848076592633822707145738073258",
                "175780242771287913519189782227954935577",
                "206658917008304424311625832483056852755",
                "287261263376983506510815985617575906964",
                "317976448786934109397280635661426118124",
                "33856487740985732469137155813870455184",
                "56580022628010530621284460862340369391",
                "268539029219531274744028170947782022806",
                "331214103655366727399056129033697506619",
                "214491255674774891437014927084798122242",
                "185419010249935056251937169007846740074",
                "35623924794449573852875666067433960582",
                "238844263810528943883952030658735750155",
                "89166610743874780915461993458013456971",
                "279606443744330945389986685016278890122",
                "245673262255687232928840008698921286232",
                "332096759799962768002435169106138750458",
                "48177891322377139408069337268913853905",
                "140007179619575943554013809130837885283",
                "264919615410966290455591471638526109871",
                "251151961929381580006724104619131405479",
                "28259571423564008599266847296778755",
                "240091913285901493620277328407674384311",
                "230372471671822697787867553100148026854",
                "313790889771337236141388570566329117484",
                "326785296278542201206026144949023881029",
                "234239693202421114292138324924547637455",
                "188855930800287852274029195604316532434",
                "11723795379748887110553521595912883598",
                "110963583558704272772633351879768709960",
                "195839613740959861184612365953617280710",
                "298213806083304824066496299014093554309",
                "214773971885669663721088066659853207872",
                "215376391925061498930985896403690899229",
                "56212388750185023157335619261520914550",
                "207838180978396848625913892389190463174",
                "137436897997531802975205713971137837436",
                "304627261904022746377773097921942005202",
                "187452626543301200466903187528102760451",
                "173212850398994484863008621852505555344",
                "99312584924900962201244080772695090383",
                "73685423927540727696868059642148365266",
                "330691939835110515477826188196669488323",
                "221631115859021803646839836246515818050",
                "73489175117333377577592325182052402080",
                "269747659927713867755504281011601741755",
                "44276165443389968320259064342667458419",
                "33672874947937119666490545243175174002",
                "146283961007495132347389048477408351476",
                "292725068468993346308999541959384028531",
                "175061794243721667505645647599546210716",
                "126020676235430225348392106210808206088",
                "42287373135177518000062671787893296211",
                "138582340777980263726712227806074359440",
                "130546703123629244508207718364947446255",
                "27006403682483114278982851955854533863",
                "1380113715918620090411981736767160112",
                "301861118012107868226919368568448917265",
                "127705389249358046798259606856922804670",
                "20497384975991270040951904466744093493",
                "187126943681598587566415347859060065403",
                "198650740228454774835789930566654057494",
                "331240865186744551982458005027119802248",
                "220679456395927543969162333804073558363",
                "190585226269948562987220737553834097076",
                "249251565741073061959460514028880591006",
                "32485639584954340543580549837243837731",
                "148292200569693050249493344039518610993",
                "295633670903332007095794915226789267978",
                "15880200124604840156470699208683362337",
                "172662846473923564744180146398575030566",
                "315069157992314967068495579960300964614",
                "4003762311353197844339947029083357836",
                "10382142979400664326551593885182566204",
                "101868177116635066423128350339048585905",
                "132485571580329458468939777322192604071",
                "116869414846850453131750959850636119361",
                "246814470739101035289314633003048961692",
                "148511407801356793674530102645756625288",
                "335738445737440888724587413136640949926",
                "8296334983339383551233395157236030725",
                "97474530266167084719661874570383662666",
                "148583970403787361410177152599080619763",
                "292217882940696820954934648188812706101",
                "82075172427132090667022262632162759332",
                "4607566967472015896028859935620618806",
                "214695229045478610842040863291050921417",
                "66109731163559469540549481657576833590",
                "164234743605460820087642847592449836514",
                "74906959348522272063020343635081648838",
                "208231574707194387022129870359826492061",
                "327648205981246233328108478120221299393",
                "128683330597309495245300342166938824697",
                "36619371055833089606471649472986428799",
                "194767127314072374479663678345388654434",
                "335424607795292832973167024053806482508",
                "264896135698761053191385030400414527642",
                "244574096789866465632414958519538189705",
                "333755594706946747722672190586686648312",
                "253509925097803851808806891024658291587",
                "183188216860805010411817137422481312778",
                "103335471693591235533465038131015383341",
                "76849742815684579345102694876219893199",
                "96638758488433220995422612419874243022",
                "53099164219662412222303418336545224923",
                "125479093328100755410256724587757825161",
                "269900015448104463880456709329204063365",
                "77110479238382552917925215496370268355",
                "197889903317471101243994253007358152310",
                "80944914840511561222120440952904369512",
                "236054627755124002530943672246755267273",
                "298627785923487095660932662888987955570",
                "293444534130826804103218725689986491184",
                "89147994555764426161052520781728712316",
                "185755521524519099936099768048234987146",
                "60580258449466475879709446627972564233",
                "196448442567820418174786115242736336179",
                "103312326895882235858226709827133371922",
                "231208201065628550059999920022699643490",
                "104656044611041630256989788679852568681",
                "29684690170607537191494654424767752516",
                "244507058408806040282497252461950168498",
                "187045235130581073846758562052020215056",
                "106322544159470163629221752508979806232",
                "96501514930006892681538313048523317888",
                "186947424347918414843469727771844683259",
                "246790542368241328268903993230200817161",
                "151702951154181593187449081128594675994",
                "201931554975496159181322603986625864602",
                "329995829304052081217054158515749174880",
                "284695260198029750078585584746540225476",
                "194231147603324846543607538704341082861",
                "161360374540823683925673976376142513500",
                "131581185219191449368096432231876958847",
                "324336214416257450409898430620526084318",
                "255090542018535021681464275575299709679",
                "7151571341511129047911360878295865316",
                "232272026654790826699684397817272272492",
                "111120865856857687393986272525448253032",
                "172992710546043727824420153213713940610",
                "253101661749071242198035352920125053493",
                "42329779835274999360939855236824030343",
                "297607510845347440621587437764879855154",
                "107838492877339253927238902789839039256",
                "225016870559829538578569202264592523924",
                "10370095534262129326877075049473882836",
                "97697105980556788227477541478489339987",
                "66699120361108359650075234303853754580",
                "298524516647115221442687279869029714842",
                "179394911125344925470434573866581301780",
                "162614412159725238931208977685437563817",
                "224477135377910746387732438746631902204",
                "259825779755222381001920047331130631468",
                "11244310111755701979998433201318385544",
                "249189460701991830827116507926369257435",
                "136545597908260438475455062364120098513",
                "212759860598820272264397273118502849052",
                "313533616392509090960413122623180727455",
                "48056524948384975046152041542813215686",
                "237932250108666904002167715502823160148",
                "329029106428174715168728571173048148941",
                "252570580504393859564183190249956057526",
                "174712198624339188268849087633460997099",
                "77560710885247540028551910407128464333",
                "315636146137345739382048514920586595435",
                "103152037394001943739218017534540844791",
                "93717009283550410816220828340778321198",
                "221355612690368414120837436622047913126",
                "141846100627922757999802787109484260911",
                "72005861509184781775895524975769648975",
                "179734921862135687496212580675691173891",
                "232939750136564662215717914206928857856",
                "184199302611093524979549644719731154966",
                "286274336429738641752141646097315749372",
                "304079086261825888938794997789555168476",
                "193179792772938271147228272896161780940",
                "104845216298621659455768220384580128412",
                "305208058081516930904678618127914854275",
                "309190244659653970269047793030653443745",
                "95952773301104618755595786953022118471",
                "276827184322410525999155362779037780968",
                "257318902515903845307684615825631177855",
                "148468843311151813850007087423355889204",
                "322923710309980096643469919484773180401",
                "223117694578828767530445117445734573087",
                "1161920689959061835430090413684893412",
                "337666429481032307011959465156130927332",
                "285216541146275916197934435137776676652",
                "199666828514212667887906319209126073269",
                "268949084959620149187525443366595017196",
                "268412734003974234729125886285257422202",
                "107803591749663934553028956749217117854",
                "176059586974863814079281140337847566268",
                "204725066229859634337070034699330796615",
                "330241374205810180599494229290414597252",
                "171906888950177212436958911135538075905",
                "20999333699814998267715123211430901996",
                "4463244867097635632035882741403306078",
                "150124698418845443365201433574254909436",
                "270432075986690494822334929457661025810",
                "214834976375702239141483496953585135976",
                "256324443713670257125987829699799845647",
                "297973498586844352860096301130313727886",
                "291517739224162050972305605249920565977",
                "127221124464900350936182038231645780248",
                "242278206735630850885426056277396207511",
                "210713356235832437139605750035872142917",
                "60609134146334613356931546202286732836",
                "307217145805065817026730270765018639931",
                "131482278197569777121297942415495620373",
                "323205352334248981928120226600537854128",
                "164629690510198545578358402110062649886",
                "15367247128654387639048438914498701770",
                "291863812775455492287825986924747179372",
                "225952930690506151825945363861608720610",
                "167956235879970067623154677214030107679",
                "232980117783767941366622718594883389755",
                "116348169496300130463531734760455096128",
                "137607576737372290152306537494486546564",
                "179201020113305031030364420933381279596",
                "305757390282786801476663959973777610704",
                "7352596891234524933923272183526307842",
                "318573549133228848728402780759023633919",
                "196653841949416248156317998842265312116",
                "64770320876345528174396749950532137065",
                "272311462927852839041789341024290480264",
                "16128672328361002610644185090543525762",
                "295116303414477795859098348031307314067",
                "225250353838245354059900852360064712352",
                "50164968290040696351919593213442752007",
                "290287860875550538283485751140450096538",
                "259178265514241395453553649229120182549",
                "160856288008900096054339626048152593136",
                "11268217205151114281716335518356097639",
                "141366150615302037949748415277089931429",
                "309074576864262644802843596662966026273",
                "272777645529721720474547738572573459859",
                "118113202582275304526385656813068724194",
                "251991398681310873908910363828589350470",
                "153985378326305658532462974005637638719",
                "87164642063571525274694291910963927679",
                "250000260757148890681052030548514259369",
                "102578752037254651405857291062678466633",
                "338368326258830631718104830740339149191",
                "32856075808145482926543059379040645411",
                "296819899703105622868716755966241726125",
                "339035150916072105210615993863854448629",
                "240934722148841938414088149061464020010",
                "271100049001017366123227514668255018392",
                "325375238687643342237403385005681403131",
                "259840473009798827978385344573035633882",
                "248680024750470502794407287571786158619",
                "98580921533796313973243457892128448235",
                "17285985829256057541742915049163056389",
                "299054853379497129614027297103257124877",
                "78019822799897012756002306330427925478",
                "112326263702028178119703899475965473676",
                "6326810594570672546956209110379691407",
                "274191499657271047107509707966793034445",
                "157586838667268679145699798236723817812",
                "309053396928995985778885442274606840044",
                "332030929028931927427708096478441359686",
                "45835085069530290201130750227524947470",
                "318824678259906494030884817405302064994",
                "195741141312084002907793061997680958346",
                "318840691405284598933696849470117354853",
                "201818793613562855770156157367563720668",
                "261950561930584218248427400583381592822",
                "243504496738861472395594804471928583169",
                "68282088146147304209165434232926553187",
                "156810798713254926795213168557991477073",
                "22301738645571381097137195063899215127",
                "234911309171621691137946558730531267544",
                "247542830074145531595082102761627574064",
                "21599181490441354807825016981250192767",
                "199847238612045863971820784304346176151",
                "162421834822147805168681132399580167366",
                "176568565715020354232171109861522303314",
                "304784789496262527832483391323124588372",
                "301935761201128129236429618822803292737",
                "212790956660885826394556365330429984328",
                "297484479734380614264650254946736280491",
                "286108642828459028488368590945837111415",
                "323980940422896431538147609910773044745",
                "109079208622741360955269954923916629554",
                "274744348979020407612641863630539995941",
                "162990203075873082201485704814766998505",
                "196652495339692786897413146866176787952",
                "137705242120169277650713987819698735773",
                "187755030163697199693684338290806827805",
                "60071963634403723274563325222247994300",
                "169797313069191165889785372794710955344",
                "173389294169653509047557981700933099762",
                "145987544417815000285757365569214279808",
                "32035251737582352661524800434710262152",
                "323878914315014690725852458482348365568",
                "243505746085630456328705806703127694028",
                "175746878359592372639773403200454833999",
                "58437832131581778469372339891870942724",
                "171011642678316258001350770324535010997",
                "312563573436896184619803720466386508051",
                "82096032605249143126181954614808653033",
                "94410012168269708222998053779119495364",
                "4250748620670879599494603360079124153",
                "105342476583614027012573297251416345779",
                "29568876646647225021625025920302665880",
                "141308724865982903645091266869614180941",
                "169923104012902980636558957450260494868",
                "324167549299025153256600693421181379261",
                "151223596567935954240797383482440852609",
                "120300197543962994925236592406002948931",
                "42520567405562600398258186029983118774",
                "89501043859254478685233398326952945316",
                "30601447273357418325313182156181203013",
                "136766249736699631025677871607319291293",
                "131267276138943927686077149377075076258",
                "183928834060548608051317406711656505822",
                "215333893517539830487285013416928584798",
                "105776328904337290296871453507852191403",
                "95259740281568617220463188382349414480",
                "213427057308798110552984098756328146139",
                "188226425502073535917648131979237307141",
                "60584211905181517661535438190028204397",
                "184464701121577320003625212167375306037",
                "254283560399188717789419669336249986838",
                "117876250095079516596183020454585903099",
                "301461877984287122439754790299617417038",
                "93544917540051468438740798960023945937",
                "248185603968219802876539671747995808650",
                "258325456052824153099178483483690684012",
                "213238429609859119049182015116885271768",
                "2185595875345282216971842970177370911",
                "116620776546937930826319304926442746135",
                "266408351860414402353254795848107803539",
                "136159422528303877573753281169914773304",
                "337779956606416852906033245085909792049",
                "153915407186263860669677793957005464314",
                "181409140770769982843936873986521178768",
                "132143149915767949952067657127753095940",
                "4922852616916548662516092272733945153",
                "291409650170997337892745483129240877823",
                "58041071585752139608338723721066382449",
                "263958099692379730571658469366185786336",
                "184193840834211914827658417183969542322",
                "239593333756443852353754007406129881076",
                "202911661047866570391014443202319570987",
                "163408655215406297082036404209195234984",
                "111086494769218208882321099746850817285",
                "267523036729526459658294977557241067166",
                "206516953447902158796529710544693794646",
                "229421362540708758585190416282799869001",
                "62473426476798099252918211766223392159",
                "134433561236395612005493793659621582831",
                "121815779269840990809735806136491833777",
                "162441573462223393401231330730303836739",
                "163637354927094596485472540960744335048",
                "80512879870394945719693253013808872861",
                "322800479205492207818556246823310077633",
                "37631213590102713168167321775946811873",
                "303139784112317554133956809102526120135",
                "134425457937071476929753178811250482112",
                "141425216006954323103468687856842162437",
                "212564441520818503580784147039469833264",
                "176039610110115035461831165733145827075",
                "269301486783229047404679190625014158194",
                "10536638981407610603270907804774337598",
                "118027291810232607012478652753683569397",
                "119122966137227147925538061081709976997",
                "145866051122576161879311937957774483919",
                "85797650545220688972542244207759437476",
                "150962516051921644051141067255565115466",
                "25184930089072385221974694723025600958",
                "80576193005016564672047023832915792697",
                "33339615825470642215235676871053752980",
                "153915525513716455726593635534250706386",
                "204030007725540917876298234992811616116",
                "109458110906847104274762599568966273504",
                "94788700825392620650088234181206048758",
                "318149065363384408473300507972996106658",
                "171643008981833617842472392822282931621",
                "167934451354217893428519629541142921636",
                "294462204291805012467641478290495424759",
                "233431393752143779944199458041152570631",
                "29653361089854980638867387428157051668",
                "44303371609148257230446802098697751562",
                "27525931388119708234342669977097749931",
                "22434594877521381561582339029341347578",
                "313516543816888713537267438749637306545",
                "51452384620155609935082980781129313302",
                "237040257808502913198000046100238016503",
                "163442664420048254520079984602743375748",
                "192531206492532821935448759124301106157",
                "183642068107781352852655370018895687769",
                "326830530897924030950323033771668338360",
                "234862429210607714732007325894719816129",
                "50047082643354423016578140062894631114",
                "116951339774353677894786972018869443870",
                "250973149101912111518610089351713182675",
                "217851137022344355835017665313493146056",
                "94438732989174462895359508855043507342",
                "152543345058770522945044350087824517484",
                "61558663050835365308606434730323520146",
                "260544508969563565530386402852013972101",
                "164249202352454393910310445473099861638",
                "192161184025866613423544620261075927479",
                "272580370976546235457309155940596067611",
                "179070435962736727284386541095746667710",
                "312047917528779331828542980064757615683",
                "232322992335857098974065118869929972770",
                "63088490587378221805684131802980416309",
                "114365763599579822047009328711739676093",
                "85853385108993472849262045028865932409",
                "278891163401601466869622541228542267064",
                "182309760309096297131257304013911589654",
                "142768170788144371898686052381687698916",
                "167474531835219472103795483776119707872",
                "278102324238336926187876839076756860838",
                "318915400883770921222073278402502491032",
                "153315562824705847313679095053883871566",
                "278267439098661727091537122043661729521",
                "292130017294671239919083662799336939211",
                "255156502390860072605257107006599143120",
                "63331523274739433544561331541203054496",
                "142433682802832291718209241499748400315",
                "229435241356155381245732861723731728210",
                "133852549133236947154208917503507423577",
                "187666194414181977961546562561544609958",
                "279194549702143504987368110853044424329",
                "216988523452811023588213808326543789844",
                "283040878361285968086117899161911228740",
                "330337999659509138810588116956455291353",
                "296618172277227006034453828604917152351",
                "141995282024190773970530555324872854088",
                "109837215683726348236923240233105414710",
                "158636111733694124764532967127084479223",
                "317015854845879930271104010371819112789",
                "158568478718117165624455725774752227820",
                "130137829421895942013178805082709269983",
                "318729450453112754944551254411637673384",
                "77415985998007736798027501721292674882",
                "311741737104130990905195305282686036022",
                "308945012944327164342654947674765668218",
                "305975836764725324491497987182522438518",
                "282836630004275209211829821735849072922",
                "331449969984406262372343741155898513512",
                "257830913114042872872961488269798412978",
                "170088052439431238468165604170392419072",
                "307127084043930840373349491174911329686",
                "8794467153527307845357889584811439976",
                "308437431083151067482297079753767121569",
                "280196562494089687064710412938073625883",
                "132347766637812484725517049089362063433",
                "40145314975686948188156759097084446592",
                "101803046198400659448513618947509012477",
                "115944924844176747176023223732483667116",
                "215926031380052463735309927729947655351",
                "325637841244031910858859245601260384154",
                "282840834293593258418647652179749726554",
                "76850014155310016421672621232280363773",
                "81473053655883542273568081058060321909",
                "171972294894518922706626541795817977237",
                "324069715381425481417450830439286909358",
                "73682137459306367947830024865477198868",
                "67098274233128114931291261902652555557",
                "94168683540493843153862965144078551466",
                "293050991503156173991637287741930040937",
                "92357535851258555223944016522798887607",
                "44541383061162201876587083256448214842",
                "329335423325060217519392594641054529936",
                "27006242802565719803104116364529119769",
                "86700309827694478645881668419030910944",
                "87996375671081382853283329560959040260",
                "144314067053689294307364802734852657749",
                "181027989772785918437606208933671703223",
                "68193318851144187159572230806274460303",
                "154494032577362364293410109859005000984",
                "137864100887494450410554510548655869923",
                "225939627059884593844535928882775248309",
                "161038006784887118397111093259003757631",
                "23439038219774049618987039692900465596",
                "325913938407343702683757293044978628342",
                "56040164468103083966640953391999616864",
                "331473752093177486023737756336516555200",
                "37733846763016832640992505890259641553",
                "235838672600088334526903314932065193701",
                "138558119798470544982531967626075604587",
                "277770814413149298686463233146275808916",
                "253088801047747113367860179648217625142",
                "197412861430655836969762220966217258515",
                "167215612047910546526761871462909974147",
                "53890951480937033538763531737026623430",
                "33971255061803639416361664384226464108",
                "286613449300166714021242823087450005085",
                "116521352185854577481503725408962980064",
                "154856564849844229697729051659040734099",
                "86196283638702543211281297470917353849",
                "52958038632239862752672380677712289130",
                "232157340608194675838935215946470648712",
                "311768223977592821768752523066313755159",
                "258958283538164080283682808973089475890",
                "236730970333911968930173563368590594774",
                "246423696323496979228489140181409269534",
                "225029853627848868458937955840939615494",
                "123917050231282092113788481801135046706",
                "18951315695568981747542996560652762662",
                "174445366608672909348497031323173153201",
                "28839563358989323602730320213217374248",
                "251945435985178620321985631004649693664",
                "171513587381283151358255227655563740458",
                "287348588126140003023874428965730802902",
                "314818149528304781444918738235907806896",
                "313688439277222412762385583915848607194",
                "231053961707330319774585179647803283768",
                "120568542798090791116874618806340759786",
                "94088363164157926684298708194717273421",
                "153040583333572794225020867100454405604",
                "151045633340963056015205418519800646863",
                "298011936145958008270965108825194911928",
                "272699280370012985456015647787185542962",
                "20706203326086256421936838671713941858",
                "98142562976532171639814331939374359896",
                "277599339695869627640503488414415995963",
                "125970579304504524517122748723093694123",
                "237678393373086219349830989167858845677",
                "294140006977598084728951086656400517236",
                "38108127363601022542379971946605195935",
                "167903864693911109518795226604903402449",
                "75139311641775082392811574350645001643",
                "55264126436737765725967515508572193653",
                "210783301792950814855707706270233586086",
                "15608517207243261593569112600813214287",
                "219306471080105483835401016005178642710",
                "1318469668880871352114606813368527597",
                "57604756930879794206157037998918803674",
                "272590397707232081432303967164329797589",
                "96574944754007432604369507942097760230",
                "204909155839926738682030752957504892084",
                "182492107887114800271114814887254963767",
                "317812018003533782498273778696335160931",
                "197166878638081466131830279757084869503",
                "182751122682570182263640647222930620074",
                "212262019105316671554798838057536474380",
                "11302662517000674173069879859032909118",
                "287236826684489892748293615546360520381",
                "166867804922511109835040565692380445677",
                "33417303227309163253259751034619083454",
                "264285649631310533041843904840652480674",
                "135110844331833799737990055290998792710",
                "176816027085892024206149479782420676812",
                "21000051635485852837550380100958310907",
                "104610707678099255450074189221242786496",
                "20270433730877010594385230417293784038",
                "339513738223931531147560435828218686322",
                "148965034395068804099439552026714747415",
                "238289944804987562602973760425465788432",
                "7678481165317693258148117283479557138",
                "145046545960369027292862036358287757311",
                "103854928999755971647759488329496058288",
                "33195158399792901243991299681716044687",
                "23571078175724355845591479685268751232",
                "213125058738319519007875169526016338779",
                "66940731666536091353711922103750633220",
                "192217813156703948509796450540034398111",
                "90081713231359412245317226477284450083",
                "47664678224073947419018528842573607843",
                "276514344746245681199572442851427782275",
                "14012429846703681483114895697278258226",
                "273073747956589638890528581662993225541",
                "114115267196707572684848334973983046844",
                "60904280443289567116425577372101678944",
                "29922777778230460299143086317553844110",
                "174276091819161606600634155481090372328",
                "22940403372532951194870354216537993628",
                "263158561298600646740394974788831674713",
                "60296462466643168315217649165251110792",
                "238511997265980047161773624777618956351",
                "336574283184315339900375140592643595070",
                "158062554055206722790829722439821188258",
                "101890398163416710522376330803876574250",
                "123605415045089715736931045398772166073",
                "322141853017323419807011902394783843041",
                "94580638286524600231024803635083024256",
                "216227653257184521020107310199280477984",
                "291550874527819501259301979588875657090",
                "65905147327603165980247923471617245300",
                "198987259922926445418357456155820762438",
                "139156396006032961895840664356352242651",
                "47864400358070804379783432494068509686",
                "130818287671790596647911969861966072901",
                "87828086167224417916767424719124325905",
                "85771595030695013905089329877877269177",
                "145882400905471014073719519190443972206",
                "263467883827278804220206359888677105817",
                "158371463541829860461735658022833037167",
                "184777393191354204719247901002036761102",
                "315173190670558545269396909703145307616",
                "323556780956796326467753130038065833697",
                "28644073664125719800140492028402978721",
                "233276846086131707436849639395723002983",
                "52754391342484674950399884238374627886",
                "309845677869795803765628226482843554733",
                "9637451478321540701174966886605874657",
                "208012124249098572434485789997780266149",
                "8067733034744126816162451068320660878",
                "273700665890201062462547261690571791940",
                "143525439210559808675844520168736997217",
                "315609866942246047230209339528488808726",
                "137570445654244097076912894713149490759",
                "71680373254815749458076979551299000178",
                "119630337527789338266565972267494560102",
                "262964387410567473367549652031521447301",
                "9761534934382062306287492631363946218",
                "184478524986009088392879722202441684080",
                "244211270293479018793407503531279962464",
                "179698928482196811421196013501977618027",
                "150326098433783246457207603449069146410",
                "273447129868128723547315320705333427386",
                "4999994903551096542974778550849579072",
                "262284019930550360316311621274962893818",
                "197495481050185952112010539538522154808",
                "67209653357678644649757732224088438176",
                "36563474928593728558136128818753564389",
                "92415232002945198803120643075578551088",
                "124518302749513681592115281000501204663",
                "105817616773278250968370598046548936268",
                "33395037147451004431438645372673788346",
                "21912886418645916023394909801571159500",
                "139644671359681603666263451195906145183",
                "207077441455547004327942776544511911591",
                "77765769825273920580376394600005352510",
                "198975369442100730342113637752329262776",
                "330748210786313917526434790818811646461",
                "122364391086075893976717613344204640389",
                "147390852406738577930940020464215170089",
                "54246828799522178879619668337158222171",
                "103900085087457046979702726327445491274",
                "288670073321363970493066299893450486587",
                "272453263123546835699878918328178622528",
                "224604467225392151696653403744723996344",
                "141993061751511905112574270087037874965",
                "337375340588853477754501486203896986857",
                "302452151507220318841223969601785496176",
                "175232139735816109760062572553435418773",
                "144663517011461475442663710206288652171",
                "130197117731227129507223414220639854191",
                "339393443632391429090165538707223075976",
                "311447570265249174523017028075542780088",
                "84061429184274024774267993021251225277",
                "109205365159390801074302522257037139335",
                "150522908712001015376824965824150330346",
                "54874549536474536543554704663819258347",
                "110757729190869767112999398439884396593",
                "62186415333709535200555906256636072704",
                "8899909651674123347025102418822789656",
                "310105408974082952824017150906197846225",
                "98857785016701044558983305553029186125",
                "64827363085058968425296474724728468588",
                "256332528702674052322687975778055522380",
                "56564356228980187030790268547465270140",
                "181517521855849720775170272346091218068",
                "261392108402986901500341507682524096447",
                "233909480438723101735175179492413278442",
                "174261957754283840238024894748263918597",
                "67249768004783209584115045893251365719",
                "28050918522490247804900963512568563027",
                "264278651003996922776309795539090797090",
                "321957821913276731364011769456829799520",
                "172370617940886730512881465313498248356",
                "315177091335078878740725841757504699125",
                "136350697784244788188434691537131020337",
                "64766017310499228333748082657374983464",
                "231152061570863416437959753788457059955",
                "30313089335280156831389187010468883880",
                "99453009436962393358138628573041273348",
                "330642563198974829420148775273466757388",
                "315499524790070492092654330637116458111",
                "146901174665150731483201440811200235068",
                "18253055038137791320465195885649707056",
                "316238031670293089152370596281534704503",
                "43721846823731137165294562714358017194",
                "8247214669182856639414515211259819151",
                "301473057209317623384239993493250867460",
                "149720360998207021199923294245923902845",
                "231326995747843866526040345118839660544",
                "269972434098149567042486955089713158051",
                "173338128705351745441196981470341286353",
                "273333007193302515494048353992018813248",
                "69688912385212929638041311338789451397",
                "339744286687554622448872001573306996097",
                "273348923663842028073130924688450276407",
                "126077098613255397663905238020355281349",
                "233288525777246111682872352414565173586",
                "160991776038944423245367629501918336728",
                "92233476300534744648895329481158625281",
                "68436740854854528552341047719405735710",
                "15876570887485033793611873925510864840",
                "284414858764071064855207456916204224459",
                "332528528903760789185522066734854668841",
                "301228188008584622816131287177424319165",
                "182400277155348702527135982145132389312",
                "147408652058416342416617794777525767737",
                "218457049146252282040130428372238372238",
                "267340592765147280584978752079748616894",
                "60957467569524053156512539477565515184",
                "101750548812169614189934095943430560920",
                "153026533072280924039745331693188239476",
                "156907104173572876451481441048373967306",
                "271861496671978758098071273189949645142",
                "246269682304853368598438999331811200469",
                "232149689045655392243481148159942958207",
                "209840596811827669963125705707384905326",
                "290640584132957328187973770603565776773",
                "123438702716300727825631931170864503434",
                "154866876288369854437503857408945916515",
                "23918601343803664812092927029739919325",
                "152222141865228700992104004951821629696",
                "139267834116327436228626580723079082294",
                "323156909322173556701387343328837204495",
                "74368083314316829991082805850607051009",
                "31366966484450631295414163661184418325",
                "277409143349423949791713341414671372235",
                "154193556688701748939009519447345200061",
                "275285050344738836677371373625093722322",
                "118747257126664043763291090670601675077",
                "217144536314660512980693778848013695703",
                "505160067740972699642293880832696605",
                "34643806073694360541240126915070029228",
                "108999434506904030392456326989560798026",
                "85404386387790580056551764502526650796",
                "320342228281880718591737607545499954363",
                "62213956938467862337335908138462226266",
                "30531331693339183768545581922906683953",
                "106256913892182614864214448651712231719",
                "23559286053878504378748237067717377255",
                "328997114630416190467837439093051102421",
                "41981735326695003889203050955800874721",
                "300501090772533938052560493376064241130",
                "255519732749180753423397895378904317444",
                "218061824125565497401040157739452910214",
                "226886898981027424879835497949821572577",
                "319593545868527493198739238868086662159",
                "117351253389080204504227777014940743402",
                "171665439869452617000219441458108686174",
                "232482298321031062778674760976223263919",
                "121407585621531093131468567359654603160",
                "307289167969129096238573626924154990772",
                "302344080176855161185417113720268035428",
                "273630658037429536644107989818495964045",
                "184150885169856113603527419987665294756",
                "124883166139069113022269007539845661314",
                "303669370269559155961830430686348826608",
                "27717882849794656799707309729993309461",
                "200614168861033101626417981187232520558",
                "278571102932569913277398259387858900460",
                "166600024284000997386307143670655675075",
                "42306713626074421634588937282247138364",
                "320228387320461406810223816793414182098",
                "74285778819492246253078200333115850207",
                "156739788374105044682559250720857379429",
                "213817347483876234577414010702967820415",
                "288346395017153964635678352667739328374",
                "301656891678027599811858523002688318202",
                "294967239145139594708342305824592069244",
                "224151703654892606929732460165175969759",
                "255882517279126974079540697166688037548",
                "201622752839044849604691656943593800079",
                "284230015973321168118065585694758231457",
                "200127241314740133390906970889020040453",
                "230923683521985646603197112211520014640",
                "223606630490366245624095049907342167689",
                "266017154627590357333530601522453858542",
                "73670950746113600689719220742059478802",
                "57475212074262404099018939733103452355",
                "140662124274102730118084163257659589274",
                "220246453394548182444337782046189335676",
                "305136225929059118179148382868348280228",
                "79279079897984315947689236878971164761",
                "56861948463801161863558146519971883016",
                "209488669751001412138497796763216297001",
                "258804091353718231694021440557652144033",
                "121248416110510069106209050609519116470",
                "18989457944867906848622363019193880337",
                "63612189942265541485376779446758969455",
                "278497365420758511571156822690148738767",
                "314107697057121707351951130705694361029",
                "271270858455940005304043171050250448569",
                "309037076512534314809129732915463125752",
                "36219850066967108050851983781008904523",
                "159224426563607777071035830131310539185",
                "143529160618996056807242996300502767925",
                "292547488694474959717245108241852717850",
                "303110099446172688868392638129474765467",
                "217858472061003319014050946936059394716",
                "245559676844565113714897250653180534892",
                "307398075516971144119743737315900581626",
                "48060047190823441792341664328434393644",
                "136425827136804295493774210957752847589",
                "338503468784530597925265238231869305310",
                "20962891239188384577488465818029584048",
                "269885701748851754265641304175753643256",
                "152320550140524132694532498239754592374",
                "191384666342000313715505411837059821854",
                "74946539012381847767489339981617825366",
                "26957690857184433226120646143589821998",
                "215259446361768963899308264680331103928",
                "131430052334063218332652948759934504865",
                "141768580198920273151735512782168261391",
                "91949282327771282346945703776084223388",
                "167216039704765348579240396399592422003",
                "242506436873288993499920208695709205513",
                "187242094559842664640013280248728696004",
                "280315093478711972986527777356330449419",
                "285741880985639376391851844041473668017",
                "232817067627525119547106486617627260779",
                "274056713335703120386715795185579890510",
                "218952234078882594263935125362425431523",
                "338954779206806163082135644976395298060",
                "331210775148993285690307242464370747620",
                "148268418349112847895561316427664338726",
                "60451209331188477338208554328208281172",
                "117124750789557204272697867235063221846",
                "4383133588609752038540483025870641648",
                "149292928974180524498184126256238280390",
                "232365244074936241038704886838709968603",
                "17179016464639018006555380577497795544",
                "242473375058497034154729013869278885606",
                "54812753216253440868865234073377174757",
                "312334137769155575505650198791636892524",
                "83382634641043945501335379046842508501",
                "128961313681484397187577747321101391104",
                "58766163565261301433492866889355917550",
                "258448671037651690834124751683340757040",
                "42007411921880064215550952057368970165",
                "232314956083867642337064743352889675915",
                "87298144454582585400554607093878063497",
                "168175846580516011400962156963335439350",
                "130140646236875051840035480040642898921",
                "34991156307204354641707656470094023761",
                "197200095776983396086519720543149996263",
                "329748927014049550565067932339734335533",
                "167601389275485520277672940621093342732",
                "171841210798168556538539137823506133843",
                "317774569650811278114346326324315353712",
                "126098320975068773995351581221599338633",
                "266069040104026911224700446361256687854",
                "335665793481878241105387251857574496528",
                "267487542530011468754578520603193431035",
                "222900983709407669620045655839839115941",
                "61950044096902339700496541368830810037",
                "192541761328730233044320091030759167863",
                "95870057083603955326948308935806706052",
                "69356158116257385995830442825460591452",
                "311747918146995958377367171326463977628",
                "159523941824257002263202100383696393509",
                "129612578072644943820747726501355114705",
                "66182887625629681017532761357202239908",
                "278808356170628641244498331160213180563",
                "213791083272704899344351798683489600918",
                "25427310172828217020712313995000315971",
                "270758926509685137721184720691463715760",
                "320976609332601985890637455692759745814",
                "75447101632782768750732516502404924386",
                "259140209788346556061739890740351641916",
                "90135039326123901147250118798828100323",
                "238557417331913858959215223350990728914",
                "49461816901942249472039315680399544216",
                "212957914370137660030679403090340767496",
                "147345040757909495907306842919337004729",
                "128141836680785299579210800776204563497",
                "243740474490609877755999333192498107903",
                "230690501003444477112890668876121173872",
                "281716115893487485863094831065583240329",
                "27751503850242474240357667649163454379",
                "77068012669574842326269224157963971648",
                "60959618947782856237706660656074172243",
                "173289691468064924608549379191834907602",
                "2126488446363117957847585844103181373",
                "139067916416138312835326711416766832971",
                "8623781962732057280088516156098700683",
                "155454460027717595224973849773660685860",
                "116740317905288036410918175245692926715",
                "52397412771651715977911620179854634070",
                "314634496405371116333313210053995025179",
                "216819344269484405487939068704589121145",
                "130464795144882219644097719021405181927",
                "184312176481764029124410114893746708819",
                "252448008152179560911807017315705663541",
                "235929085282311852820240812704835817646",
                "332071111522476457295585256772692453399",
                "338149627643193822264933697093118905064",
                "209248225645848636012368277779503321294",
                "283052722836358595757191306442346527894",
                "198009740412346592319663815840237133982",
                "251709712598846148793256905053118400946",
                "94650638376192816224856276900290159408",
                "192948584791576171228203637560716107482",
                "267620161546607905247852136036567868308",
                "319662063548886833041113492227023235104",
                "278907461890538186871532500591445694110",
                "308753899223403470399495919191981271043",
                "110447614544571896998564008786793025372",
                "178469674772231396269341684200746392683",
                "7606665531208509479637899265487104106",
                "240666078325554040475654403306244495461",
                "162443770717633984358767695262577305018",
                "43745336046276513780325842562507881078",
                "154806606347036680560558835547296791869",
                "153434499448111339168612650563230237082",
                "10016867678444113834913280899251350709",
                "205046748171512653006165247563155827985",
                "244976313640062129100150619280443484461",
                "25962302440956232948799613348354581253",
                "255731826258068546827681460763473858710",
                "297422322877243226338273030414551223529",
                "257976488007463414845760658033006666185",
                "31595110884555142434791495388036906504",
                "320422272444172729505527911791844687834",
                "339551746959897938534619216886153600747",
                "170458114217681219973609646154518623967",
                "82867943575421204677004776522033062163",
                "87864155213959702004319957909251481253",
                "115867355131501935373778139671684452721",
                "42653897216314165450231643946050052449",
                "79547213449378162987948797089470822293",
                "242680801736794494522209964315004129241",
                "198438059769908208780376868227992887059",
                "262121241103281849004034855026600919844",
                "196392316727150913884650756258674983982",
                "258476177809080615760903015677714160213",
                "302946181876208271568259768653145233098",
                "310902315400529359646654884681358911587",
                "156841864431516479410983368949724048727",
                "281070381426008646973588622240882668080",
                "18072058469236114203050263523886534682",
                "112748478738914390999332995318095349440",
                "88174937292040767603196811922349795564",
                "315700900552686852672923698299171845288",
                "68691510281172935256601900692682417841",
                "126488006851478088672027499272778944317",
                "208438525506821055949795210045824915301",
                "117117165494040350320251922350862554580",
                "164961036715223396724504079466683758868",
                "125715834867184524652984967295537599420",
                "57150338974067193155587163692177235225",
                "295269940836400162415473747422966832635",
                "172941312146274646506591934592830690546",
                "332058358055798005759208675533368786019",
                "92637164793149399071839380958597585540",
                "321230592790530757919055777931109219277",
                "175070813796545997794663897608007298808",
                "263937191415445403521910674827363967867",
                "65038841388754087670417186898229659294",
                "37033975775440054195908697634334307578",
                "156721164318207030948862166558234543146",
                "210142748812374744286673518267740944302",
                "85453058716141827467221573964453006426",
                "47319955161904238742547387656547814486",
                "60858519754374111757307726300685515254",
                "139437577042051308207619167720720694995",
                "32225411892397704312975076328696601182",
                "173796698958875563060968463416464941607",
                "90235341062788261514859478445705115595",
                "242174590358020618111488870019472825987",
                "300162690611739827618440327406780901936",
                "109076157015154580115448920178242002703",
                "339241207094069260816381387730817262467",
                "141913544517960338886643703619787341211",
                "246734035742721768290097024092578839819",
                "154365091333613284081199665149344103350",
                "19162289313917955893285420672730710779",
                "230987980549358056706336116184717267773",
                "183341765899872755332260336695949969025",
                "249898258160763857535418377813937140435",
                "177419703121022125467565594536576637966",
                "168451935322298137683551196475516922865",
                "211651800991089765571963948376123548010",
                "58430457475003035108053911140731599733",
                "258006249720310448652913841648532759486",
                "11287922380398157449743213076056472469",
                "231147390420938701296314480277949645105",
                "63302773856337678673467307908275184311",
                "30705775614231477183835382720321416034",
                "155537244880196451141335746416492320072",
                "70588371823242654353429206650930722142",
                "62825985125866825131450116864411995636",
                "204270700101115349187186007408930464514",
                "186707240980216985905741592622094835570",
                "290942050430766399301907424393650864960",
                "171477133631912345228899589132416869076",
                "58896157174929876706980768309115737773",
                "158571146282056040157420544812258207354",
                "164199720665217013440335020522935131459",
                "128890903012293046842535595240743191056",
                "319704631070820086872368271759806393550",
                "6538966384533492930779682859532705205",
                "287217816234275299096328356950283427474",
                "167111146010796268801499606221616866855",
                "36293430689331906957774668636351925427",
                "240432799535420444879273295171028548006",
                "304437573316130157783250453688381723542",
                "198022314097227112157991834024135078938",
                "337771090813048604492103973655798256054",
                "181628167931306031878869894051588841507",
                "18557492818597763911878550508434918279",
                "216686381792279145925018502315031060782",
                "297747388417668295254518224176455490091",
                "266914134760973868393500999488157945775",
                "77285851484320691680278693300488247084",
                "74751311156983752422301873242570274168",
                "295434658866976167413304469007050341481",
                "63417263913148275581729148905469151979",
                "225992530228839606785568460916259273723",
                "251687845656178475279236345344226068377",
                "191833684514585355420054473698650849746",
                "281902547166474719536195846028234218013",
                "330909417578227756593464974360894716922",
                "125833242847526755588801207378383950535",
                "62680013065483414291357679907180574081",
                "305551766078549690790409780138702697160",
                "102570172667683565722802607688233944150",
                "228616011353925198031096949375115503021",
                "89587342854535632594173238309987327513",
                "132164515549754566149294608652323934811",
                "128025320499128098793388150715435966362",
                "262251085108247298630727367144097646369",
                "315131169136013368017485255497411902629",
                "321803147677258352156895599512790376535",
                "307591745328457377328699809736617320622",
                "174382292449020686341083392766930457719",
                "91739976385485274850729465795958475016",
                "231632366979853274803153345446507956434",
                "82320647487809621124255566486666501052",
                "300307511157063324986462163835683401443",
                "137919409216542189462216581920241864635",
                "257276370337585343050545999599998557986",
                "212783725727287545863003627361822953080",
                "255098582330619962597110255361563640119",
                "274986941407630127529714104656311344936",
                "243364697863429342225610440882758847936",
                "282563089324708677819949561030497770556",
                "183533828081872365266675109389355699381",
                "58016042202787187033801522209870599010",
                "994829697347594817715776491404042212",
                "89274410903337403787794539544972601963",
                "247424037544043178859844210246915134271",
                "60224269615608190879825573086384478811",
                "78853414676352198435637187801023855474",
                "194079859512310704753720545383363113372",
                "159226996509105055854010967754823665234",
                "261164969019428619536593451451275812074",
                "99166752138499870590965273133341809264",
                "216962188614966176288339984709141340781",
                "28078274481452262327146419442764883543",
                "144334856333562640296030077793060381019",
                "234459878889344806378800001425928987637",
                "16418513193103703024534387221475775175",
                "36016595857113295071350672923354810398",
                "102421003757704442982489948432847070701",
                "70767918105307314381451676527137080236",
                "248118925674474988171339989118119091073",
                "62957329041941350834560072884133233419",
                "170008913825696929294376912308477097157",
                "334904218266051559805096292377519496035",
                "227031116627484435435631564196136254006",
                "14402657916630450039755612228046764779",
                "114398073917303158690587828867158615167",
                "107745791353432618577218903561892222013",
                "22223342484306144832029122269490735647",
                "207425685470482902748628012035806134643",
                "91221113132173953920871300159095240824",
                "103776119413872311764397672751413789906",
                "212783130707468788337546450701561971231",
                "173528194541053886373535746912212017208",
                "91384137896766661806492647734020659194",
                "110072511879471464514830055687933695532",
                "67431080543361730140962801433420716100",
                "44539038030740315959833084588585147712",
                "125267593877841848827490769660993491863",
                "107491171930305346323923026865764434247",
                "140413173108139008443274669022665002382",
                "128825719623605658151050174751837062156",
                "307339988192625456448712791329072724288",
                "189192844926629114738037235210555945124",
                "265856346897881287118834048401430631114",
                "274313012392725807356923207311726879772",
                "104297398879147075512032554866390515221",
                "195857726152492901817090140722017854515",
                "53265494012956453102624508170764092352",
                "262959471744194388165026617653437404850",
                "99900495321255891666768649872961701265",
                "179466429826871406316764510900395302718",
                "318212954251807783735471991687050559306",
                "172406605084428805383012177961308377887",
                "104224363024981300962343985738744778661",
                "73566066126130134624509259381625640225",
                "46734414744342396624205494864839812603",
                "196255323952842149183976990327346177930",
                "273094368153468226049754270084941853070",
                "280620909836602727749069460419942495480",
                "185478281036370810294713484435329468962",
                "49068737391331802259420200348634053064",
                "293717707416840805534413101308004268555",
                "94889187377687218026214268110281363760",
                "166965188810914197478645718288652695069",
                "150903714585393970519439918412979586384",
                "88378697321309396393488542680109565244",
                "295566213717761652677579466555821821717",
                "110520663855123702644515894021235883579",
                "168353914843310503621554961718867214579",
                "191366176094563600182581284310886331834",
                "30110139062814937762960858234446964276",
                "16002924132907197231261051088535002956",
                "107611396187669920029094851908736078672",
                "307384389688923041175043149759846384474",
                "185504447126327672060711653031737904563",
                "334748370129537958983630079696249210795",
                "121033779703796216165296196014263675490",
                "94948368327102965393500673117978594766",
                "59474021884686737110659271966077980793",
                "180953305974656774764466246670584281382",
                "229338350585718573734930876842221114340",
                "333258436700282766106080007318960092420",
                "276604234840962218854133287971738048624",
                "237954781587036870352289302991569181856",
                "218295492073670331164900707271858519705",
                "37248462089525908194279145821099923226",
                "250576145763310554363976408021273409929",
                "76322875578221698666093149694798099181",
                "328549941186920633853555288160453235127",
                "141347409430464879028913552825858666730",
                "102493452095146799330871683537940473267",
                "171375494314052386668833336290365784876",
                "323761017378697545773850537096219399563",
                "280101809994657449408561150268291828692",
                "164420852528068549821400318232218388637",
                "310937011036012554800560008519551943646",
                "210002595494169662558196325544035477529",
                "302497941793473668236680302768977622486",
                "218834101943041399603340284542332592176",
                "25702679801458718015678683967839567510",
                "202005513111958271172035357895042842966",
                "190275157949790981917788531804003795704",
                "249859467509761939784875558037331037007",
                "154655453895358032105668987548970198261",
                "61683730914229036345867038952176171247",
                "269520786905497342096834951063940852995",
                "183985532368468346660818703397966520117",
                "78037162724122467678597540630662459213",
                "175326163497124652250707342503682680454",
                "302638246493120455235916361521455620587",
                "306715581256188546315795091022733149301",
                "180581176139792098741408213166955693226",
                "77257207643635874577894033575232125303",
                "88743797716443100840519307324154820607",
                "225655230226729115858368425863585366935",
                "158156020394764836159398893150674061254",
                "250854064328289156083922924690502731704",
                "85631126089904775873732439338055066286",
                "73673908585455677564415424404051906964",
                "199238570111521404559871242349563491253",
                "20161669200978911558281810986336497837",
                "239749707682753730544105540246906152478",
                "89587334994889427965200941830479939121",
                "116317781909593155574031337829396883220",
                "127768431083639977574068386948730541619",
                "166771099642694209244437796293530724777",
                "79792015700059030911953262689804763897",
                "122162018549269918988801296891265287015",
                "289847864662085267886112199384632175139",
                "117813221068301848895207717561973201123",
                "163537355657008796145771894539682947496",
                "237083317314889594943014721098473508957",
                "132919229977957911078663479370778483987",
                "188462435755985721141489545480532110906",
                "274217956534722966894469542357770179542",
                "46566438036277332093460854790420077800",
                "303415398837995600824598195438521842504",
                "140619609167000107706414058816619107237",
                "104498977545982326547089634647008293239",
                "99993736101700024483714284945322317337",
                "86213528656416186924883771294691716586",
                "271366233085765635090508530690170590984",
                "140237432121814607553317488433318619131",
                "143767682052874878920084839810328414903",
                "79984656036000639868780415835262282687",
                "297690705034534568821861198146029951426",
                "307439219305615298453822452438668310422",
                "222819938175015140836306489660078997954",
                "335365058803692212035117216183940864248",
                "155989926664656503453831067792400693995",
                "7686559039848637961952667724724469953",
                "290157908737304536718178472268449185644",
                "154215188786236926684460116974457486107",
                "297855768590777005745030542465358867627",
                "91633391426827557524413494601760588830",
                "334817645635676421221511196443177502544",
                "155223698817825531928106461602329206494",
                "223972188806601641180907815060209087609",
                "55651234875868662201441078823339012984",
                "236562959884908222452579950954188240328",
                "116407220855825276520016046670190250077",
                "128899864506126851176507342794291017187",
                "47119929834733704308802046103777580758",
                "328855956715481518791434490617839836157",
                "264956097596383638210900273843389594058",
                "155906918345741111149847379067283982205",
                "168612446720221303802927879520383907308",
                "298920703479661360453569675216845424509",
                "168666482007427398417045422629219828387",
                "191203627665753990149879236273594079296",
                "303200207557648104164493735634571384434",
                "179925295705341023283234532185614214313",
                "253311892867807007528781473014132685344",
                "101807919329568584293684274769269327435",
                "295540761299293881108203420265583505012",
                "147350079672533400323306370870139895144",
                "88750409932886341254546586135396724268",
                "228234000397447809918490618442068798184",
                "129882320233094151678073495769599549159",
                "339375845989672297376029360329116227534",
                "176391892233720326681000658506741975304",
                "125009144550937140455203036596597901308",
                "274043133839639510737101416543321519292",
                "301492555827363885454401641097400945924",
                "32929731542976226259839401569701759963",
                "188912282917674886496354319890699841592",
                "177079163799753305216417995133050749401",
                "97436407953624584263581923723190907551",
                "160858402046194513532803713973761962542",
                "306744645898155858163444130530834850627",
                "204599101095030166696083303480045762559",
                "46417876399308739840380016551513884618",
                "325953333467285364319734629305707556619",
                "293092526487247722034813998312789536140",
                "161245405106422649651202878923998953500",
                "306485260844940758609566563892936420983",
                "187123602935813758770733932159660718180",
                "11477251743553850775536716800710900676",
                "218168406461513702873179526952241612204",
                "66131653944614277741099079024011183968",
                "34380899207455640266559806314475348125",
                "306820633391995578460906300693922728947",
                "6678490811062591184588884288479519344",
                "215295970269881448226238080732890337994",
                "259052848139247101691824310638136158834",
                "223771777117224580608297682875271787803",
                "323469771007950464267550905524007874586",
                "170401988188750214223695010177125010752",
                "244201879010018425935103186614911915569",
                "243899912451464340824803759168705945866",
                "215363993266673284633591317150864358668",
                "190921007289670274087773554568473534269",
                "12676751704178207982018052314721320440",
                "14825581967984569393498331575033787293",
                "309422318650581920960608194325608760769",
                "210466208663638399498934329531441482848",
                "269044176921400797236795854926505170499",
                "6123983005070212557598136431627289144",
                "128950836493673798565238623552603920189",
                "74422928103354888785682465338229384871",
                "32648765248867420309763360776935325423",
                "16100476413593516346052062007338231205",
                "271950081213411214127898476252608358541",
                "95524536781361448482833338829152854377",
                "134915579215096892119639630599947230466",
                "58627648440997502715396808958744098689",
                "226929826604100766896026716490496118672",
                "77509114328382245995451097464371909301",
                "59481073982668098210410025752386980414",
                "269413869802973626654207727231702534702",
                "44607916011415642368082837094226121839",
                "242010112505133831654812117384307087988",
                "192588837140268503102714963222841419811",
                "274718538713049235040911689464400992861",
                "109185473776770613990679983407414977632",
                "243731360813923035164442197469087787183",
                "164152393958144376534158589692881834900",
                "309908959421489320620298206756997009865",
                "37072894074673077742628701399024149507",
                "83477392463945582294512243709612406177",
                "329705405182668532188212607591480472988",
                "27299558105071331242858686398355383171",
                "335764157953066655440657217496157652750",
                "329090082677615662578034561538978780056",
                "41708354669945007638184775550890835319",
                "209010491589379089136821892212357719230",
                "76839764577266191060193216923783069039",
                "80450505035274200512101723328801765766",
                "49963445080861539670945320620131653475",
                "109627637433549602158796661221724844976",
                "45126594745213420623539433410722946392",
                "290623726232331734084019871483237936878",
                "3378613300411866718528237290636536307",
                "15310282227426804640220724177410331156",
                "132526111488923018275358224444238723862",
                "308926397359055534411280540403920051386",
                "106724162886895108048039093823841630606",
                "220937571978988818044336333547462004494",
                "249270508820855215558644213967087508777",
                "113912920233214394713976816832053366552",
                "92034003816130026024500377831590150103",
                "1486190778953042396716905951628095700",
                "295223271869552952488464595918282520030",
                "307059286326235780122854172922773263130",
                "104201162195834822956249521329540346695",
                "106291520624018326759924421801975638398",
                "258123672776311124674717838417098267009",
                "2193630653206429261266993297519284764",
                "162531445409059582896468610108025197308",
                "30047122040002055339713330582987398457",
                "20125299023883843755218402289149405225",
                "218830001747802098967521524838337470826",
                "229863368111925176692297873243069687198",
                "16957279428912591941019071940700950988",
                "321178648834175356244793274546636381454",
                "120376938427510528582742439702452172458",
                "285904012100797499448370982358897541471",
                "146588224564153180792720613409724139978",
                "207895543612198650710668690231721592852",
                "109550789498534612071488265022252980349",
                "62324520106018836910295122825342656373",
                "81485883785533935784921897529951620005",
                "128557466108748093748374481252018195662",
                "290475752092825315137729311325185959038",
                "335345914106253652188019739261207695108",
                "275633822652922258693890070540294704733",
                "217194303955709106626570422466543078458",
                "117162703563518965171456589098872014503",
                "102635772744752295268959895540276717746",
                "114561834299684695206419470156866593993",
                "62733894227002213050751633154713092540",
                "331526764912807737454063244729911708692",
                "308253905950525901384674554920708940469",
                "81283984118006229681399416445964697381",
                "249507986106852504670195033550729885423",
                "98562795422505777649979783833200263114",
                "310110360466851330420052949206985974052",
                "56366975685067102804200200231620985039",
                "129414086036073475850177278669668059869",
                "332142835724075931199994787326304793109",
                "76540415842975931084827152998247683196",
                "93063535338142197755784537935472899875",
                "113771927133702694768127947230655576921",
                "120330763217854605920826956363486018925",
                "319753184844255311589796984867141838100",
                "37981309976015524241423107201857168176",
                "11490853697053964310469046372853309270",
                "179446870589029556644957385224770812195",
                "218022200176778431693969402134196977714",
                "285984339381717271483653126089539259784",
                "284062621253471685660390156843540012886",
                "191252955225856794867293915458182163208",
                "26926115290973280727409235104733770720",
                "43811640643625828573496982735951169365",
                "107495375980398106058272332970912886817",
                "331244014817108483172420405665837348037",
                "254164224541102177252533394474091042476",
                "48200761206894772672388597456737375877",
                "62827881085569120779271466074021754000",
                "94409755759980202051246732906326166722",
                "192046945684218990259375102092709645219",
                "285573311137938042354535640007877619877",
                "282369431079510453489679884141424727001",
                "43297264859619354121175554471709355402",
                "230526720459125683612420176359379317887",
                "75189638745686603870029643409378362068",
                "148379064587864990701503396847603835721",
                "8272863763517254187746449184207991559",
                "88420194898392652526482739301377326021",
                "55845502186800451946630696092057923504",
                "318667936521745898401603058739898335177",
                "281842572142415162695615216607483411043",
                "257312678014434209174395388865261105686",
                "306253187030335665732524042079129454273",
                "157295656666559941282603727146253098654",
                "38386198577126092911296334415452252292",
                "9504613810853092885523922191420422388",
                "274469747770863643701672728616480753466",
                "101876294985857613761540411278592705214",
                "135233223153090230898200138630745202499",
                "339706114683190776222937483472505315223",
                "160700290497595003290368515793327683098",
                "268323044815073503873303221916826376637",
                "94559467154831048609207474462888004426",
                "303848993711385775345733931162441490885",
                "323241352392061660555070890007334526814",
                "139775143519167419660462902731815188271",
                "5134764079792069625384789986846242649",
                "195411907031032286979752505171544012536",
                "255746096171775118889808724133535688823",
                "181920321417779061902608875378062426210",
                "225640380369833157346033993190871288328",
                "44885713409958843143632691833003066639",
                "332250450552093308965209605544206513068",
                "296893826445031911582620461965419168678",
                "206496974070673985894898453279337876424",
                "279386268908553410889686084080786500650",
                "272101475917968281454082569892897566638",
                "256704618307941057305638659525210117538",
                "93501819550161709703864413728330361379",
                "283926833393932482767617267582796906311",
                "125237843416590489136965649974201447569",
                "60868912439152863823137298900224778501",
                "115299936703989172065738174652989675527",
                "80421358511197011576476339276535168930",
                "310520615643172986138631008792810082528",
                "177430543066137664767273494352862808929",
                "205498338328641638988151635091331315524",
                "83216458613331679388328091859475913318",
                "160654396497854319835576687980863828248",
                "171670456985700312265735226460308827913",
                "174244680308617067642501027672924480251",
                "178802722161467072984283924066336034447",
                "2603987891469528457558568363110145100",
                "271792466569845870068980104193121157033",
                "8204266616829814793116051047293439331",
                "15457169213439386651048822939457464188",
                "158036507895862307655169012734088915932",
                "257236471862309468687609931735457441485",
                "29905747593585211600392273011350411165",
                "23952678469536308600521577825642093296",
                "70901029737706795741428231826313658389",
                "74699707950208549673886692236340592537",
                "197365593789801154412667986048263899574",
                "320501929353173562608421736684364319798",
                "147557936584292293921369935673208083451",
                "39239730158578235306891311838978225718",
                "103701514183147055926009494075996318868",
                "263790862614814444850898532813984332971",
                "241818179658051690904186529706396157664",
                "305324502438921696311821276509347312748",
                "295063042576729268870100440420432543119",
                "299244773910477923508369648696068974860",
                "331399928524214479461507982587857178359",
                "303003744038145122476120534269303597855",
                "137574459769373133068177862698427301100",
                "70474193773872577713625955483028841441",
                "47443185077612353145079008428213848652",
                "50678899878018472733517288871363219386",
                "62894824909538042732680631313668844818",
                "280175973463451003797991020186857526608",
                "276523719254707481367769441586630194536",
                "18067711479853261161468487561578546063",
                "307467005771790806065723573963622687590",
                "227547138276460558504040465086029570880",
                "70738324721401102244155304170437159006",
                "3386230908032890930314252194466827982",
                "90335237834603129752052785144133004815",
                "320803990573953077497323154861051006161",
                "211871894518739708494121910101923482374",
                "132628160833874337052156623122882707289",
                "317746007997693095298129651642778513425",
                "50687600107266149438110200967743346305",
                "130986865331395194535174301707242841272",
                "289732081592242180848466322881685819466",
                "93781450418697851045729726496820429835",
                "262087963800905548520929824359339812581",
                "123264430110442550717145276755345955993",
                "272909915540261869542146706035843001542",
                "268562903063928841346455199535292001081",
                "217930040302335886028419004077486614701",
                "265685586483129270478926914994411938322",
                "322213268608075901179012496583477482858",
                "253489304397503719911202675916464065259",
                "308191831264473133929378949602944982987",
                "221627843543444341470370243830708225439",
                "263866698579561829744401169567149325076",
                "162492797021776965551729487707026788573",
                "20442118274360994118670233202274266343",
                "113424131825498312191964068957050330941",
                "302535801901237104807000203132049474970",
                "198243280547051868070874452081731496929",
                "168038350977884547953292943912026682374",
                "226987307153713936329439521161761706075",
                "38129443534503889591498832711771927059",
                "46744545015538974177705075788462814855",
                "218975155480556793884476240636565079773",
                "96231658429091147105092838025873796240",
                "187384073281170810119719457245425764721",
                "311432110882000389128265856179419757769",
                "180384143615445361896598136162616482537",
                "166597894047793064971687507480583450235",
                "248805863943433006760055141484195389363",
                "119402504861174911109120919700673434393",
                "9541486673721715666063284519178605029",
                "21666089048208073297425640305695126360",
                "97652048509753048388126487189896503788",
                "106396119012361762597252126857984935014",
                "221644196937926992390819842112601150046",
                "243695245013750264114546953294276607930",
                "250102505621331848145943157138053848009",
                "50901847069121508507934590676565242422",
                "10954480135296878667893964153895567130",
                "129633629104481491710966216192012245963",
                "237869701362886736862748658459619085123",
                "230073364668441275794991629233617084992",
                "181084099350629264656781475067858836563",
                "190681566857817221860073350212167038939",
                "331079932808511366964314572026511125401",
                "102329397260622902615030716460160490830",
                "43089526764786372195652696346909811277",
                "295241678769437821871256863215247190477",
                "335381283259359008538956103203098378714",
                "335333405134161179607395021536390798852",
                "240078593704503415786932083462843703447",
                "169128680648428773429481722278202528762",
                "167015012820732563783324472216517417041",
                "162443525649685755755196824387616407457",
                "160981082324683940768009769875402753281",
                "83932052930825733065389712519150983010",
                "181795554046007254093146112842717267962",
                "79058177768106058640281874212083958439",
                "110290506213706765369423185920849971363",
                "282258098094046936619651933170353340506",
                "113862539998344939779900721036071011481",
                "80381590185166402482605679537059507993",
                "292872993691185398037817447771410324426",
                "172528862223987258818773794849730341181",
                "123372344868478741588959470181657980067",
                "29888795267975293369831394964101118588",
                "310509295990175549239235478620445554632",
                "242152158254828606246995237187014468719",
                "26001322962325247428454284627626067398",
                "19642060018228817237160141085173726907",
                "294306029317095417499850450616194596631",
                "98682652175457880552693660464525217545",
                "154352944503417733600374691071366300865",
                "235047261392760043188571365549902665939",
                "327203431906567731175093418343915225978",
                "279591015499668236540655764757445666088",
                "129593842350554722581068691359744753107",
                "132170829857491390522914804252679128983",
                "93886422423580600905705979968396361710",
                "299818578412121539174771964357877328801",
                "131746179224731834001812656287868987980",
                "78712416070881820183295557463708292777",
                "282189199254263027899918221883930837197",
                "230740242447366343281825827981793867225",
                "258394464676110050395499748366460603150",
                "61624532779552120572005337863541996169",
                "288772519857509669856830257412749638640",
                "40396634234734988602153037075265701161",
                "323264056859204237363821351227831047345",
                "199445390253511835103430164087103400538",
                "197292097897063101557930771561485352238",
                "97180944754254428090810869677585848417",
                "177770151616466769900998430061081198205",
                "147473592611272182015018377624974178036",
                "201621344265527214666146107981031485364",
                "209893365838282197661208898783820086807",
                "258465872702402982651658052078085106639",
                "194972303113840354229731131702831241290",
                "164783958145950497701306386523781500421",
                "171924851113049394836149820065949086531",
                "167284269612784721582276943001766067374",
                "328027023186245928355019317911468912830",
                "166396805764302084424880775868915332189",
                "336626215874682080397865207111167830606",
                "233313128143402015775918921584616642879",
                "79491527214960576500802704792685943846",
                "305142908428856149436137345428221923283",
                "312008443220752106324418326378517730015",
                "113905523452832965812817726386490714592",
                "69026511397857672855415818239212277756",
                "216137011144383218736601350895331204629",
                "76312158830161744341114919169312749523",
                "148273576417040197194875264859977441011",
                "215479926945110832683256107826361495442",
                "19095592346821989989428164960029278637",
                "187232137171228568452970088493173682569",
                "14950135320283149027989186333964310293",
                "131519807077574902939846086191075426461",
                "246646000723998877284381090554431845905",
                "221472069319325628625472880636177976060",
                "187578856485008940125558838686278258640",
                "37010102814525781633735416046304727826",
                "334308305692541137103726875050983228116",
                "60412120259958238393554291472696078334",
                "113023033986379806342414582985667728505",
                "116902242047713017014860546751889970794",
                "138090444918062105513806353660976625732",
                "70740423575265712510591189131025342460",
                "235440801181219263815002183271357534845",
                "325459921433149513987757147951430968350",
                "137091619799959905983786513972002343135",
                "87494410619622023357619865612483560156",
                "72536926917281817606184943053042675883",
                "250626422455842637847689489392428111747",
                "216345668111867102176559629802587642115",
                "100570917758338512470197579882787840813",
                "276037104051975354807001625774811108012",
                "247351931619824959984350714009513053372",
                "121209786304277805295576893662305755978",
                "99684369893006335393972012333622235607",
                "327829586787279694600597334436330664307",
                "247760031805923479640350983150361715378",
                "129082441967171199405881823344778769963",
                "74554602305219577973209318258951126741",
                "139082204560339787210944536995812924448",
                "293534052105508371913007585553828249866",
                "339810901117935139674280744220696774671",
                "337248943855482558474137268387613383823",
                "43980271571697942007840858823367714924",
                "290999174136426479000954291892733421284",
                "180882106564716233832157458194991781361",
                "138307882226928606764672604668928823850",
                "44422226975571898807909792003158692710",
                "239861418166238740928137236992365230438",
                "10018208360444110109868385807572700654",
                "223566313136068979522506128068309186891",
                "86725975981331323905672111086385560190",
                "146142892753610957568067151028858431328",
                "169844970268264420776551120308728611846",
                "313773799357144797140611452904476725716",
                "192295189611780755404200724891887128463",
                "217482921375598764139580442992008879253",
                "302324981976714145386859154390468932236",
                "76587584650727073480418847653603999108",
                "310170797574253182320236563732142515657",
                "299587793756899391063331573901887949968",
                "55507351530848882392973041134790088392",
                "265010062983318309836744514092813717600",
                "81983420252576160843650724685371960198",
                "177968082164478782300609004676839313101",
                "22072360582656104637473921635141463480",
                "146868994836610921066942985986523853483",
                "117023616889825227598410653303258493046",
                "226253251887088875668994419326480624813",
                "315738133364577750319285201130206911327",
                "89414360936553285671574574530847977616",
                "54791016349908342198585842504301350983",
                "138058947321834658372583901717210455409",
                "137582806341685714247041002509462594103",
                "11265070382330609012867352815509240755",
                "282540456969292765321884606615905752726",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "8721180651204100667315429857371246921",
                "289867924785462217947109317799573105162",
                "31915140489838329114207385283770263929",
                "7743957975825287943700766545942108897",
                "313841869683154375774376621800696744678",
                "10535312003248852117076186664406309905",
                "258216584037207471000944023236165725243",
                "227292184560416769029683574468177267245",
                "277148810235323124404695698455382197655",
                "218872809444161116137368154702910101210",
                "224550555083974007460946627518344991949",
                "227127478973271533405044975860190729227",
                "169653169386094530775864067075242869383",
                "106189455558573522556130212442703542355",
                "337870245346318225945463503390815997537",
                "223845459506773133822525705347573816941",
                "212595177717751880248216046043172945332",
                "129746514153058088348995692005629568910",
                "186323206592207730657988393498409548036",
                "57117963595155776632466692639000282778",
                "15174880430914620597704632913065448508",
                "175740319800766340647166180551164094817",
                "312047254604737854698850749821765964145",
                "316683254722376336907919812111593007719",
                "119602725435927859764922783603568731619",
                "161475133408816330510594484753958152014",
                "240813882592971442308547396818050505677",
                "32830801480024609524212286193213290857",
                "231168152494156522947412466670550418154",
                "112188521250995076342491567128194948155",
                "144688365505626836889813057596829396485",
                "311944831182200996741738144838500418085",
                "74393954381833189103223871793747684213",
                "111488240777160491525506062734515663817",
                "220146821628406817275432122227888959240",
                "13166126100216305804069500170917028009",
                "283592568339596224459895592664356476778",
                "27668887000619597987166831261632613400",
                "244733005040626395214524341284740643255",
                "12375566305609464802992920752760552564",
                "71531081298815619561635610153151754150",
                "281065582018844425679890629422273148248",
                "168242664570745084761438242605783471714",
                "34695447307038081897156185822904399151",
                "224591665047469202797089127519984486386",
                "102656177659957709985928219486838961484",
                "115257337762810397876043387244840125060",
                "260337374083412464988041145044660035698",
                "319903504522726384996613157027470956804",
                "190023930054644123415373682711043853728",
                "12683989098686950903283926006549313115",
                "138496254939814299879739518780685579941",
                "194208453814406893441705720381567778417",
                "70323217755088927087813644855168168807",
                "206413027839832728260437872926431056166",
                "302152008800765311056813522466323092182",
                "255275093939675429347203368969556210798",
                "174952737940998995545692588294176490935",
                "98372376204233501574669401213829991618",
                "41074289431987229782503920884300756006",
                "94332268419552237243503709467588997941",
                "283512922956848357544552882768908116726",
                "137861566373960441888304514845090577934",
                "307969559688805515674107228171641161976",
                "142934198717881502172437665430629005578",
                "254410548790579927431651199609350451284",
                "270632253010549120828868412101973908935",
                "19454825319809422946918949834972481617",
                "24212760411432696682676469188202966712",
                "335672345984988130761261767531833072906",
                "41592432701109309348258179102457174697",
                "48534252657399842295346027344137118136",
                "309750637029129296837293062398015593182",
                "101921133414279640384903218672777417371",
                "254763052067055122772888334010639002143",
                "108672423546671059284925985799673389866",
                "161068685438797742751184657422894217599",
                "230652785162890351465253448610742794872",
                "202577276134230406143083728343632658537",
                "277820202990883775408156146388688793558",
                "42483915730698963954356985002920280492",
                "86090791170027340952883683903104250733",
                "288100331240772318645087335397262906392",
                "103439902214865993348753204597322373458",
                "333637804318422291362725773273393089932",
                "303032918773233877840779627964148814962",
                "21933388123632780911234921113951935570",
                "143391046987270609101803243802282451521",
                "92275759277564707475205118537026487167",
                "33842925779293981415829839991000053751",
                "309959512797508382447289976179287414389",
                "266883566078246374105145312841177576676",
                "120427661245682972631759036357740849281",
                "274430954086720257457847951888674196245",
                "243007078830708603735702701332376974533",
                "231603524499976560660594664155488592161",
                "16778956361287776868653025860113691071",
                "214229500230465975386272630849324183382",
                "189123035455102744918851798372080334402",
                "203568482472698444112462343090864929728",
                "29731947747772144534170416604624380948",
                "291894488404930111144050285205733301090",
                "289122236707562781746933894203983888063",
                "92844643141245927388050196779254495731",
                "46877271436529958433423411836237133679",
                "249577571960317342979894163410109068905",
                "312016333423398745652338243677633720622",
                "298534195450628018248079589411356226058",
                "121398562339029921141997830040545689331",
                "264734202497094599919237159276668724454",
                "83181649909817081358999886339452869254",
                "147102224228811095888450337092555638194",
                "312560184401530011425080061706693208431",
                "54080051763435367644005909166412599844",
                "240410660628288760001360972147348127593",
                "213094359206544343772514357230349600259",
                "137802760012615839700692415696421752779",
                "111723837723157246332706154733186281049",
                "94681251612835901065381620598714391641",
                "82534318939736711053672942990607011939",
                "196123619631135361335663426979427045675",
                "103654384502396830057236622353205346932",
                "335076801122055362457988534126240240089",
                "88786283340090960239945442891424722658",
                "325825597872018910366720504825202270102",
                "292081429825237060139951047952375325864",
                "164914140344331378997512430883506514922",
                "325416157342235879468801576471660015267",
                "157579650886166706925218932026151553319",
                "79881655076190634741061142986279149730",
                "182005891538763914771458477695993598441",
                "93447761994708917984890632145013791297",
                "44921041203831844825345782741597165992",
                "76329520123801952619460417451204655678",
                "159885000362849812456641865035601556173",
                "308485710258339607805264257887241936420",
                "233820989849147760775341635444179648316",
                "293510524872010319015922277072933265676",
                "141137942218638711417171631348956182016",
                "147961599676921813452868894036110824253",
                "179068124426051707394280749277652617305",
                "309795614125272189292346223464155072181",
                "43930546713711789404826319498730428307",
                "69208670019164070226421484378066933607",
                "310782500164043667828432226006485171018",
                "159543540108064722587926700910224203782",
                "217589078494040631860274786793160394057",
                "38714261872404482522061564420007586394",
                "250266999244042996491272939577275181348",
                "56150489670078785328749604088940596894",
                "127390428395636516549034018699425760352",
                "270742185948491176965996694543546906511",
                "194094360437723605264409764210910943348",
                "278443321824942448917430019287265837333",
                "48248489131641776660450586491488897603",
                "131234559846844721027842801067975435748",
                "142992508210747695633827670639793218244",
                "216516940628379178616525080381754847502",
                "243612295672765777344525159646345161636",
                "69286499556440109189370854082937357852",
                "33674634206041453302101712829764126702",
                "323965951733626516236713243586612351729",
                "34910289380018878000062529457541745526",
                "128348389065293465685835542687643077741",
                "295883230243140818563427990025916899029",
                "68166283111431327968551245793236449003",
                "38458111473523382197664651469190280450",
                "307471394647730645841830857743895671484",
                "121463295310677741261552983420694459554",
                "245278366374200441773623284901095722498",
                "158515221409325723861769137436319490763",
                "25865652482614758630660328784261457723",
                "154768488897156337365644735312471834238",
                "223368070085169206938375794742765082738",
                "4617414294895371345426201631075164010",
                "184258462736061391724756223536402225737",
                "156444318442901404025209613295967536337",
                "83155228461600209706573348022178403879",
                "190007500173669390179418480785997200751",
                "12681012476683721583969413873300929549",
                "38300164305502584757511536521645519620",
                "14695341871164991973802655320640216111",
                "184683638367847853630070352744901987767",
                "34151677585454217204156183183700061367",
                "208331726102749736123215088497028336397",
                "178311912400811931278363239655182224708",
                "303263041940258439123351760465835805030",
                "94586713309803294725943512271082177258",
                "336162480630366070944842024474348677268",
                "223963933128833337406661471588700234057",
                "148352907220248149453791285479080612348",
                "228219165831939302704830442511328026813",
                "3573182135553334250801576646725325561",
                "223488647717937623160637033552456758067",
                "229670197213857499126983326117778947719",
                "154567998676625647266989747244152267195",
                "62262391627677396278437837583475880850",
                "310754849182163235562897390100311132361",
                "159491840551171764239548564428238466894",
                "83868930298488633294630526304236380396",
                "176438591561274832836948871142170865694",
                "311464566804986909080147092622676238461",
                "66805512390547835159238826962384753978",
                "171800865534686602393903063226377388830",
                "144178655118204920701417721830122538107",
                "48766594819838609608323673399955556410",
                "289909497902159376378818717809304757709",
                "137568245088057358694367912924254587689",
                "127834090620590439662371489586511726829",
                "218758081050448692174928609340918217886",
                "62458132003875801856163503713173587290",
                "44908730603075274776689200206638694241",
                "235784831851048808436726046049982660933",
                "257310102330356340644920001536002707927",
                "338624316347225475075194571618004721337",
                "223866117339646488354054338021868143994",
                "37236237716851726563621660926751261955",
                "277446385494295198637235787951754717124",
                "319028130537924889492060499033286922672",
                "80152407708945646384409689339162788367",
                "100823423327667563639682296209441367361",
                "81315457921057228257467995800243662174",
                "329740320322835590152689463967819999008",
                "44614313702008167157276810693028145234",
                "19578030703483792071766669746417337461",
                "126581810386181675639082767550171765494",
                "21384673850473187495664259088593602744",
                "146056162620500324709833493416809473539",
                "107648415582733128023515783100786301488",
                "227377335732853863508628034762753675619",
                "311443073450894560512780557312962806626",
                "17491067019750977816062819734887371918",
                "56716430980857266979881715159390356149",
                "121682998761069597675060085304043493061",
                "67971356520829055205590277916894647971",
                "47036715221162609277433730415030790584",
                "273726084465433158321143577076354849255",
                "110746430048586154708840204068775357196",
                "291903031861526592186630840552778980748",
                "318860400292845460871038308822166789529",
                "14083019893023761736561119138313155100",
                "80370530857855145691009452140872003708",
                "218528324289289687248529752312304911402",
                "190245428964140581685134229375360602812",
                "164892170939569535157159622020375534657",
                "96094400326289343922978379847497933354",
                "119380708720605084860344034874299243520",
                "296721678075119172548337275065189593263",
                "327013436738606830130070102266374615571",
                "158246699794467685580350028570537876342",
                "13318518731877251477307173884225109756",
                "156337612492536308352324085016968870644",
                "51909026291908510528708388839852500555",
                "325272975504169499851265536554298773242",
                "39330548764536893765331910818812969875",
                "78061248860024901110836239829237324122",
                "23589462433082377015453749158136549355",
                "14923731141954953279146830343658417867",
                "335688079429818733644837701910825302600",
                "210376859121863469077910626522276897820",
                "262652654699825955662114458252684056605",
                "121967639987823321855883074773433208734",
                "66354349846999956335166987426483696017",
                "114161493603460703675742371343592152576",
                "93138425816211083325048960773819288134",
                "276108216068025084803083578791453154184",
                "290434534376969837715161386329300553448",
                "247714790443864214021809869630883663501",
                "310786934769891252850176475101858392734",
                "207965566089473416455720658429666253074",
                "171987881517896337710660960823203077161",
                "106188267022034727661618988171854579039",
                "5817895320178005716068659257921287775",
                "121615378836273786897865165275173445156",
                "6023258262332249300075242236804583739",
                "333991124065538645303096394844477845265",
                "50298948181261810737428083064657753443",
                "61429819233392377371650100327274744489",
                "185655331324855886675167048269595119099",
                "128716749799515311369334957077742755027",
                "7600323253872846599554285723053419639",
                "172322987026682528323071680133202761130",
                "64964706347717297566733869727810968593",
                "164020168780025474970921435745501428025",
                "189183907630657584076154707422344153841",
                "329035899922835285637765740402122812320",
                "106393559164880815573874678264164639220",
                "136183247061044675107521067462601391666",
                "163899616836525414259027786345576391859",
                "91581210773411018701372701852598480191",
                "260881324649968437435436692517747676133",
                "9613985894190603817746050263003154119",
                "47772467378246248734055692230389638788",
                "297746521497574501570266062051675247983",
                "211555821608324912474951236530212507315",
                "3970715042007336762697577828361859793",
                "255379384724793067677460352326736510645",
                "31268457343749829927942737833911632550",
                "157136398400275006574175056406002830849",
                "320507691357168325703456229572212928991",
                "339193940029507223534991463061669719902",
                "149471149355028950678259673665734763561",
                "113462568165503545828640797151202094356",
                "16430530148786102952974056687957137609",
                "277692086911207418844851175624410042800",
                "162913959540631764926006139930249570879",
                "179776969916905841259434789648297146299",
                "249156789837877495264540466269704240355",
                "255086187005334129733705332073543186461",
                "115590942990902220608180104098790434763",
                "71735464399540536267733924388346517328",
                "148429146559295394827971661022552211561",
                "130427707825818130865857505990020345386",
                "275448714990937160295611233644730871238",
                "31912739861383864988259040515050481244",
                "68358588286427558048324588261836317848",
                "280432277228214555043130051602529365466",
                "175256708890473134812060889641452635719",
                "122012934047011658110711060230257939319",
                "219020844545610402558111725486903617815",
                "165500598378695930441402380480211466231",
                "142076782192272118776182610068222100465",
                "86876218195122971216663311901442614412",
                "210594265688846587053206317379981718090",
                "113314537328871509303996983919744571793",
                "129293743506593408968063996691288934485",
                "248395654860744370237801326344950497342",
                "24916910272140562123303483533476561449",
                "39493758556105761874415158297519056160",
                "204519746192192574379514164167335666777",
                "147322996554205575220890627889786688104",
                "111779592777536571072680012933495175535",
                "90980196356998563328418329826299249124",
                "247512742303234725734264446476740232140",
                "328650476510818200380690830048391154437",
                "150932943794589768055651936442288917486",
                "72850085466174873828783110758199255237",
                "320558869165688066387828724665803356755",
                "304356276573667715134215348587440177724",
                "308922939444644750837808180395854967182",
                "220979828611461636208938497757696392480",
                "84165664572648078369657176718431189873",
                "293773554323707316113396025532080498250",
                "131810780724296219888490502398254316817",
                "30689870049516884279940213895657406884",
                "221548503080094008453539999928041078653",
                "122028205992017322899723371000150621329",
                "179139598911216457931364557715038953488",
                "198707649404746740358201576875323486131",
                "297648364749073115399562290711979860563",
                "129194129475668008989844597869618281347",
                "76915218985361773186705175352032253302",
                "234830481619902322879407242373200144146",
                "193121953963288203091229448254489802761",
                "315532403383543972911694028324968678991",
                "244886726608543282809762817724158787211",
                "145207525341028568950478850759402064640",
                "234297422362633203384232102471245620599",
                "242146502066021297852787075478328280149",
                "330452107919018309492398417877986765615",
                "290900793533238108083873899502050001344",
                "292430872817441342843317643705875557776",
                "156945563445602410087543273994975616398",
                "170153635702130912228743963869735781775",
                "145104330915200261953764786863693523567",
                "220634129410633294797581468365132175757",
                "125174960967569449410212646424346081684",
                "92328110547215394442567499961927939245",
                "133480199996305249861396875923607400389",
                "175930388702592576874415838622381955492",
                "287649239577955536011141741003225414690",
                "175641582381184409866351155253056540016",
                "71367210616046384245199183105074082639",
                "258818765156161520877454793862983046673",
                "286204708746234868695316391131300840343",
                "254134436456559715747741145506816765851",
                "182573101515194202430175397302277399091",
                "79315683382258197429987145841423113607",
                "149831895781536676765294362098055880451",
                "141976953144186825627720405774831793356",
                "193290806518701872017418367732179793216",
                "210803001377814857774280202537500479971",
                "266309693601355943158827363840417368107",
                "102939948985115865198983707046469580115",
                "318670303320604436837330840449624395161",
                "13683281248488617543594435477413975683",
                "158474443749513695879110000138946388305",
                "55690448150727236076633688808311726302",
                "83224697084199920901814622555792496830",
                "114108396316447384163858485197191301079",
                "155403331985517325480974718472068810674",
                "87771857419440262640678553833945241227",
                "150786205326948990551925095898591450100",
                "7584251200017295630891326640879014857",
                "154018190593947542593816050826343197473",
                "20914705933410073623871821312205453843",
                "225575576060788674854934677683973868940",
                "61409071830060318999559892669195364931",
                "319582210378008322477945896524951668104",
                "162871416009261654683477771455283469019",
                "737055522845877333559640326810678593",
                "324909524065569933211315911190618997678",
                "336131604834233428047919263555052906777",
                "256109641688541175625102724285219497766",
                "110525265394429342077192490352046729114",
                "34364516263900145208263210672909235014",
                "213691690854861443931040378863983843614",
                "13739342901872315078043796212526242310",
                "91592388783005182852687984626095441607",
                "9280507573239531621202810648980790812",
                "39738767190458385855457461385913071276",
                "19305755679510628994160928743571561995",
                "234212760456035104485112140001542450251",
                "8799402021681227442080635636001805742",
                "51806085652088051416648277815507926463",
                "3204260475617932704781611328583642807",
                "221060446589832475472140746857462588747",
                "114861492960466628678045913456931545021",
                "268896647401439088256067046008431586695",
                "67208509615123400556577586907177455809",
                "72722475297666682621852745764179866165",
                "152574620836561761479876065910511017328",
                "326733237153707877833197850158412441127",
                "102318923015450400217576160975374576430",
                "192238386977097637311317210345486152077",
                "319434989249385869135382845342500211768",
                "52632014137877694228083616371989236970",
                "218205245166425063414968813663389973591",
                "236832967240387297652753277387003971055",
                "302783058867811095882570257707147165571",
                "64724945135514876780787723937721901455",
                "179107751987122311621229305196435230957",
                "101930473017943065905210480094776613782",
                "191274025968091592639753236818187935766",
                "244252506439596015706879389852422580193",
                "13287301369002178279835161993197931949",
                "69213644230968825839103685681001825091",
                "256808583586471375974408822784825093901",
                "1160690919821884321356224038676949556",
                "248141007754089637045442615878945152084",
                "145522234909260020874407383616680815233",
                "49666842032178386959542951888903378884",
                "252163122111467362533210584420325769573",
                "16997099979640754249252158815004313305",
                "320312745799776312744413218328974731420",
                "31061028637768004020098654685435159448",
                "50653095594514252520158225220878631169",
                "267176273536063135632451023946624623429",
                "214292815399867945889587179881813113644",
                "125822459976451642901095859506919871717",
                "124918766165086358322186281945597528000",
                "59150633470989280590608546864604249258",
                "277063180695096830052997358641836784126",
                "112796157577347130422250454894036924166",
                "55445816354275045547413192873527483772",
                "320326201727988189389303929399270043483",
                "260890581775783781115113856022627358732",
                "4441747012811487054310441359956164757",
                "326006465954639680582500422048310434562",
                "92760290351738273087424869374872340623",
                "103160982625213284843079240122070199231",
                "193402054077011727555899886410218540998",
                "177824339508876094252166282399596557935",
                "256556336110109788615838288744898147185",
                "329648805809075490439457770962798207002",
                "109104181349434472870169700381256780285",
                "38009111099119000434297853633936206832",
                "246931582253860555385653502633538537675",
                "162481349504887055462220661956490774877",
                "208825723403164977834706369587159070628",
                "87934201154680074159898172797553101277",
                "193426457081098506314627749960415612773",
                "245449037296017805823508683845568759174",
                "97503899901924575383742386684506303757",
                "88243679459430667328674073272411346292",
                "188566670919649606546628341610997658747",
                "57529441281582737236849741816180911061",
                "298519996391326675971219778141248537708",
                "161136667925431375599728563274335595995",
                "288573434938249238930761100458480321351",
                "126078177035179591293323555486570563404",
                "282951265842797630429818246328417635338",
                "284225803631826713726109663744195970473",
                "40451910893067643649149146437080294880",
                "42075893239840685779340579218574115717",
                "67988093763549521569668793629705599411",
                "58192508235206937756737298753257354117",
                "316325193464086662272554405368193489098",
                "65512821623465752341870519409784020551",
                "315881511834993909761860082959069770363",
                "51644093819087314798579275733219290603",
                "22563255304714440147766714234755942690",
                "10822983146698691088756795080559907914",
                "205512465191893221062463964882041304795",
                "256502812434865736813607257371738008454",
                "226356696463690805092442151762010625645",
                "19677119397549344281674573383154176813",
                "135453239819925330325633237105104404326",
                "96735068098233855825234406088195947946",
                "182430793342131141863976816408050109423",
                "38422163285022112294478991375098100961",
                "116993753086822904637759927826177889704",
                "126627642676296559365756007859411529840",
                "117197554905381885511407276343050502042",
                "302379508179491927492800582608180274281",
                "228192299925089480903606611985619330457",
                "166944157818241056267459053281457861117",
                "252124394330152630409187565206988550141",
                "103603274213731499898599143116793606576",
                "302108892218398890987667291319518618860",
                "160971668871828875398925592097434893151",
                "328830134925442372619452688863849098557",
                "92577265650671417937439935067133917845",
                "187958477867674069396602984136619204967",
                "172275616630029613053966170459990579572",
                "126408056854391064636445109344855274804",
                "193905973355490120524303723893629995978",
                "285098257180031296132973043958211649245",
                "200468737865281958579812096334830946740",
                "300160588261094744696611520699046153519",
                "160350578869699725158476556585993253475",
                "314695610218206485282480385925115094362",
                "84826845680813821472972131757428793565",
                "118820251693038052320380576292609741197",
                "15655804151874089239948909060296463409",
                "186491479652055596636627479429511306670",
                "265274844404038276946740099243634160626",
                "265460320317203813502476957541748228051",
                "85810254649021352087127221343702260861",
                "169264787730083613236772142968428970539",
                "65722361308443277804914833370024516572",
                "257327733247337974566528347668261882548",
                "257343558162291741958433768675973466471",
                "115521046627922712784241099786340981723",
                "269780979485907782337766631593714533478",
                "221395794254345786389151354433088296714",
                "269655140610612624135746373864490361260",
                "211122197762239330201509079067079432591",
                "236649484267422320129440592015039379388",
                "207736559081160503127446248117493643762",
                "44854350663971512046265459802402741919",
                "110540591022950805840679878602955511756",
                "194269710486654532216458797805483366282",
                "178344725996471414018269966633187878472",
                "304745556007768641079512353940697543148",
                "268493218860930890772400126695222663641",
                "73708416616070587682476543573583161575",
                "255284697789506312639429897866606058104",
                "132888011390686625344898786470167119079",
                "96917179273891946886864392840366762544",
                "141541120503852422060966691526744742377",
                "213918024983541170372916896378022544780",
                "221976775565345250277032501477430112345",
                "106349985371422171030354574092685930105",
                "325428666611018779083456049598644032722",
                "323603834979597486690551385111745329979",
                "134740404742977765884001289114829503776",
                "3954985439484123915037239811169760185",
                "64268430373940756282353598735685462705",
                "58575878614649137282643253328553084711",
                "181851077217124522763584450126380208500",
                "165500993611420805544774204361912162481",
                "170015468503693492522139267636125646619",
                "209846670963814020321599079497438349922",
                "265757299010665619826044882886005768593",
                "266371587508567606191508711200628865632",
                "219064158111115709384533719034948699352",
                "311463931381003226530173528219662086851",
                "119131235900975767701367948376635934815",
                "83314460733032675769061484163070025291",
                "266601746903529676712789046433874760479",
                "33054433747072943214221345422176053027",
                "60887343511034150052062136727327070470",
                "132698818265344146040287561123823591141",
                "86554740137738189854166986545652169709",
                "202536550150545359357674400204900631146",
                "176447497226678537892649482733271547966",
                "51183806825125990787164689183627228336",
                "177737768365721161536011777703143822990",
                "200827769629183057340753200670117782754",
                "188324043033503729508365416869921949617",
                "112371895720641884944902466164141422989",
                "147355214646301208931059678186995870369",
                "162014758047076646324970333840564418576",
                "247946955333544891687128712349396033484",
                "72276653665725878295229483432677874263",
                "250615760254151787989609676930701899464",
                "10264686840153312234697591367936238398",
                "241844516575304761062610190982176200226",
                "117224817940996183508925395651353843703",
                "190992731176187240337663208809738399525",
                "10829702728674724310024545078144047320",
                "33006341221445899625001132642687663634",
                "85823693547821227981819961136979944325",
                "34169966903893654056957581758443635025",
                "122186768372912503943702592371155750720",
                "48402726625995289541653558480873538105",
                "134180040574436311346879902091849404388",
                "258294626107711427896950201200776345656",
                "184579696988728841184871583753524094161",
                "116296243794555798382371607540586553019",
                "289074781117311369967608249320857683816",
                "294618638185150781329749560745854890355",
                "317487647569897132137412095951680315883",
                "331569985358742358590285412963554773262",
                "1594662436164856512598267794944896722",
                "278905471907813711680147633821294696941",
                "8226871381950031509626806074250612879",
                "310915844973726505840030066182694397664",
                "22584155863317987929368368586366794625",
                "97253024165262279137877158112842928673",
                "213412829117956587571320231334957837597",
                "47661912644915751994405458496484644331",
                "109221668865032966174524730906483036982",
                "201476274049723674236607986061074587804",
                "73799064362095107521434932604456573680",
                "241171975020064117562371949175841049570",
                "585389051740155191847751431793512298",
                "202375181512829960336443560825018953814",
                "165931799473044710256186474144905142342",
                "270122998453236064422833378419351432237",
                "237597673154077533462993294503151072720",
                "23544219481614834313963180768296615373",
                "277228149826617988702374779382475915014",
                "56586753816327792698359413124080267326",
                "146112954192769105810087682032319726376",
                "35198201116289888397067316207261808519",
                "104176991740188846784500611842553500194",
                "327260235630463453391640628061501157791",
                "96666525123433876873616619117907172416",
                "78806042323979965819466595957948758288",
                "115529239866406535539853464219208065134",
                "81721932636931675071981168189892132243",
                "245164203742694393335800483691956282458",
                "281162525163446571975547092024742234981",
                "230392455439537342893043584985664173396",
                "141131874203302890873704899755217874376",
                "63535748547117386637677314162493733853",
                "290206614978069101503532454776161798202",
                "127111349474733147174265828018584848314",
                "88704584621126990497752191517069091011",
                "92020705954532806801149503961172814476",
                "97587203720387537198371321187859113970",
                "130208114142246923473613065052031640032",
                "274387548651525580873663029311020963264",
                "249335695598439195036416827149877588667",
                "310342579830924766788508267032263145392",
                "54313378690648757746841613622409408939",
                "279091241272766396910952000860067319105",
                "78521407143191071244084565512015234174",
                "4458503171475346881779996275406246367",
                "69566910197115683046612944277172550432",
                "206878518583989832345393834771238794987",
                "43188593779572717522706091832914618887",
                "52712152671432075988656914833193976334",
                "329726219016537518855952194541225338292",
                "294401648128277409809615136099136991378",
                "97185157191872845165000640353557864483",
                "200151573285818774755046487556078841184",
                "65059667396039466386716375645745592075",
                "217863408145483975282571620678083675193",
                "332850057381960882832475112547123276395",
                "58324341863412547413550454560418632209",
                "289649650852724723400221087359487814276",
                "61876773156914016369524009715009754392",
                "129129285840108976418565488718518641503",
                "181487204159333831662071246636238375871",
                "264507814111291923857116484730240991965",
                "112526985773553764291348551351037119170",
                "233474394072569022092400327267478156115",
                "269503492757471877255500923936096230998",
                "209076867266191402848347227237039005396",
                "160770906853670921198027989242187283998",
                "308573010017422347577385052209672900251",
                "169095266443129593143493635983919793680",
                "160961469786363663984466171744231941751",
                "270134428401815141560259968558183216766",
                "329262989735148620429845699246116904838",
                "111840677503545517221941869214677597868",
                "17764053212845522256120808353365540818",
                "286496833048879925655490648291624165248",
                "304976438728897556997935333166756924634",
                "124489722382604512849159343520723250141",
                "27891064876753800297179538427145934546",
                "316692654348206773769151076984217813392",
                "27968627992091267502030854112480502444",
                "319021146988705327975898221337755587766",
                "321586480911144344661789355568502207503",
                "29471996999122865661217641069051832773",
                "269625887890517730741160023828154859511",
                "14461891067016698390056909526874605469",
                "1963284169463429744799348762736201939",
                "96181726150613780767237111899922521167",
                "207726275710200477350638649237935592633",
                "61119163934050434998201785417578574562",
                "80542703467444993776220800222324433275",
                "310338766502554878641879782735905838054",
                "181737152824640861983289147188175842189",
                "36287765506215595949360081691318038859",
                "194004601096610938909278985908669414364",
                "338574737705575426296711503023185249079",
                "317287178557465037756791765388337291442",
                "235921895008206063905959330908188386049",
                "302059521627269430684197402646921327723",
                "242060084661660524823164229623914931507",
                "5792149531485340842360937730981519378",
                "64998447674047548968696132424940027941",
                "233619972961463237170261666952106895124",
                "70526038706124739613416168390424160087",
                "285040798038866134484938339464996231364",
                "114997128187876902353388209957782877692",
                "88231181469588874026704515633897922086",
                "213480384106767387520229623181055574026",
                "294056262501533940300134812349519543596",
                "218470396939949185578693075948190943661",
                "92577623227112435735435818437186492678",
                "335018354814737470815598001568439778395",
                "134515307818567572240961162798174482256",
                "275052571185615979664223160953850288879",
                "167808293510627366718115028070521696342",
                "195190507614974411669104998069819825078",
                "266612694977424438401287617706533757212",
                "154318665039149678328942765213625232511",
                "197976239464338539991837158539016165572",
                "201429673477351779524619930406019944620",
                "113689043443884469943989839479073912916",
                "300680039867213684758589464605907143404",
                "235811656216341598860202832453037690265",
                "316264788500147884595256405623806297380",
                "331558211170157023092393890861512982458",
                "111237107250511906103680838051515412654",
                "179238211838737846448595960438135791205",
                "218680006014670531450761037804340944554",
                "255625223626558216292060071037920874285",
                "254371011334724104373080964008713954775",
                "337542822055620203160354625964641437368",
                "61909464345194323043090695365318009576",
                "286245093808569036374994512604871057749",
                "260837860039724915629565282909355195431",
                "275592801247394378036808822777494110178",
                "145050060603904838635385749073803966429",
                "160365457883714089513287433209457732578",
                "167041110708571641295454464576793302359",
                "59196015580952861019617924364219883648",
                "263677425138251424477056302623667961194",
                "289940660996943011832864455643740606431",
                "2927660384174494014672505263660032889",
                "193742959276933960252422350492232904394",
                "247064113324613159231230122527050948750",
                "19234576026637963707158249697315879832",
                "83384720915667883143798353198453211463",
                "286654323903461419082481105691582502892",
                "334413958542960172342399455231011291387",
                "101168143165461071833744852619006032705",
                "96906999180265065072687076047500703422",
                "84878857821787629421529685705741602312",
                "285029995990765379898830028223511129582",
                "336383757033027159771439399724929385422",
                "311617295511527190814691384739433137298",
                "293627830670252926058841560329561177522",
                "177273059265554366138877437089712139854",
                "274577585408999295874206137749456041027",
                "76057385090223244768256158274015567288",
                "298565680473196628671927762784930817473",
                "6067509380596780308163022199306339563",
                "211979458928961448366634507627302497315",
                "208168623132428277000128844167925267124",
                "72190220973609638774862286884506610649",
                "180361786100445975739758048576985367863",
                "270219136938747998511827196332088036641",
                "298699594894785649123115070249885236652",
                "291578186186855582812215992781456517230",
                "235970031405057645767322972707821177657",
                "26611165607804101880550539002328615161",
                "217900943187370625357853188119266259656",
                "84732059633730627645490473351121800305",
                "309180917264587373634183366817060716214",
                "106603302566009083955204269268983190218",
                "292194608808478884475635126405417049632",
                "7307068641125778183666589487594479973",
                "15973683999811237960674238153181891189",
                "93927924828355380583287636894518832220",
                "227289386863278381309290253855501419999",
                "38698243414789353460065999981946606225",
                "123734761025454826151256213901659704838",
                "184363841910620963597465720099525006082",
                "22497762136832430397408621614206908180",
                "203295734193882941311756798440441572917",
                "45795120538904304541593205051077234129",
                "246248306303708160423048147297675550790",
                "110902607514691391768784065427128933443",
                "244746889311079435396998572317222138916",
                "125170420746229899755078279358383282778",
                "109189189086789358602558830760985071912",
                "309698635240664424550258180810934882519",
                "158080910479927111578628681178377407944",
                "307875064157271347204772481156453694618",
                "182465529211696958573204196922677321427",
                "115097101885558867665511882679553688497",
                "205415271529100873388775115901419628833",
                "161427279281476849461283221699338611222",
                "8067738416470880554959950883564275257",
                "317067371960635112259351190908781901288",
                "319696145905401685875581756436109001838",
                "6048905939231902586358279941834616696",
                "234191261529783461387406074555927870743",
                "203238179702299195798598049373136444550",
                "239555825864301227337938979088229539693",
                "125604448928393017145095788660903240811",
                "234812305588574206448147678102660943403",
                "262381252003632108622700224949056837091",
                "180647961777347234519528138163954192638",
                "70524942795686903739600920796070562819",
                "291858264770923459670264537781588032048",
                "116578446331032555533914773110531572602",
                "69286567879073242502570436523494153207",
                "333288040707465744077169773639356327091",
                "231354873122291076244917114972071615635",
                "50854939773490578897633292564530266991",
                "230873932136875763683054974345605548373",
                "244945091262899912796439794732336566578",
                "167768549152850653531307338835293507311",
                "88933776563195293885893306674730459308",
                "288500541588585999486356297313913939829",
                "158311345694025808845055182860681911104",
                "268211870022320385113642090559789630883",
                "309551774866753191877402069034404536069",
                "197410705606216111679482885174004663342",
                "145663943814564653690948334191534634063",
                "42385091780644625506914227176968783565",
                "159615310202042075565875432934941415906",
                "19262490350961987717135866137034299326",
                "226511728069789660680448608746106099821",
                "165881705243212230240225095739299835219",
                "108836776023866917819133709603923541726",
                "115676952288774225955745322124920930303",
                "277025660796474062679081027200321196096",
                "64140890213781451672404502691241362528",
                "51825884312624995656053163454510143552",
                "97174140501891535636917710065858319",
                "163359655681925139580428631483630436948",
                "220561544829364384485480627210236647595",
                "110192770704313924563589762687413932316",
                "228819277543918391837776635748574977584",
                "243369848396274589164722426801435351684",
                "294447392378018248653356622354446253596",
                "133249742252015556108996377949643914526",
                "151974125717523859839333331357155712621",
                "131874417368130187587697551362380454086",
                "51975767391515328477240781624071656173",
                "19636413774705679651553440297084958883",
                "272119780374075571654741721955440652268",
                "102398697165395262480201244135608296485",
                "300530691030142207620759627185530161772",
                "106996695005438011947769120931893619491",
                "58354273532631142917703204204022526127",
                "199783244028081424965422984519120670253",
                "190591331403990936478089135467416339108",
                "42843417613958468068329444098413917964",
                "198388796120294962282210205709443358885",
                "41816989103037549470274991262762891671",
                "181834381415941496502978989717963868978",
                "33058358139732097636398833980843663639",
                "74848621255526899437299951346364413618",
                "138478834257618946048483156052378379690",
                "327396907125968699551102969599228261678",
                "293941295862472505596928993317603414548",
                "334175576687283459039909285508609663638",
                "82202999603860788280497702958745791793",
                "141035337221513792544558330118819877877",
                "134389663185394735535808106294420555429",
                "328533076540394553277086563006075610779",
                "175308740505337518761325031182771954676",
                "308079921911364477951365130059938278055",
                "239661779876904583332638268787761292772",
                "291142223261045897231863533120589370186",
                "47632099990841885085944459726281458105",
                "282716411308100695351335833153049101493",
                "100446015183364151607762241437899108120",
                "49067495653993503295952676440020724768",
                "132673436111965196918300429778212693648",
                "321667116910103589617174681734918834074",
                "48443683954423433568239358970256408476",
                "285206216251413238028015484349721012795",
                "16847338915369097623572951563364173984",
                "245466381240644644500754445782826244908",
                "268758535220616123621577472984246083980",
                "234162157677149870895641342511820517671",
                "237131523450034532480553130296236103350",
                "142575163807791159290149756412542563810",
                "279560297955964971647851449634374380611",
                "133249343008514382838391609564738855489",
                "25610864887395772447592715925797306076",
                "91463086056217020118346346602352839664",
                "261924556608121556251189388663807138077",
                "327080002508258401867030935622408024621",
                "83411931024677698721428715446889405567",
                "183626897030388752700344651658044395228",
                "173807580704890609831352471768194899177",
                "164652670475625424432067699294770735072",
                "220182463364416532400116615705644576717",
                "12595743719874292682624750769891728928",
                "293047244307290452883053624299281017695",
                "272190891020412126300553338569795742698",
                "313616273476322028970656478889407569477",
                "330573329826325592580834084057573932677",
                "141661881310480001508686729499207350493",
                "160205327728125339980863732674053880658",
                "99473025912123277160122760208343286986",
                "93472818083753174029448157601821286776",
                "187500370251441710692734155575501749187",
                "258277010266595257468621262603615429359",
                "288603939820573590733608451520418609200",
                "1786002333517353786354927920082734357",
                "220183863137385537702364483688922237735",
                "204994128891505594788413243483870655287",
                "281327303345178790682287740928729599630",
                "47750137623410838868390858764487603803",
                "224636659160602627446534120826647524217",
                "105283853948511332877413801274054524554",
                "225599470343835937298469201199652227685",
                "191741267790619721488369399601845330016",
                "175048609256966542942230852045465099900",
                "14998258325618128890674429063550320377",
                "205642863404244358706448779269755942474",
                "117511748760306482536528196752908316496",
                "61471539996785453895263023068256319752",
                "142331358746341960366898543776771420066",
                "74690544421947431785746970893535111842",
                "147770190917837956980229032249548095858",
                "256448344839494268158491246706171277969",
                "162466798003020973639846433142222062974",
                "267393362162700901825930795279351984351",
                "228390899421928074791723378645427743527",
                "272004233139169649263298631682513167669",
                "183340980094236629470924150444279293500",
                "314714041832802528323204641313558679497",
                "336077433291070646720365494679353915823",
                "114253475055630373489872706964756533834",
                "20279523078123711977423429315721099081",
                "11504964850839618552068067687218855442",
                "237773749342712237314381585391212180896",
                "120949595128451607641623035790717329843",
                "157270109993811646942180390843381488607",
                "116106179377241546866471267740017704789",
                "170663167680395449282353804473925421495",
                "104364463245143835489221228499908431037",
                "31368193786628730425020761024374187451",
                "131834300913979584109037422857301535016",
                "68518980040301969541422645298616973851",
                "106064442800047618841437662459948019305",
                "186294964471542931815784191819714234836",
                "284393414495565135753690732156324962592",
                "269573681801128178259715103824596137001",
                "51659794556827057095256726620325385559",
                "308718907833135163087329783822476152949",
                "293624794483255733764057283847583618979",
                "94941901627695225594645580811521295480",
                "149797531634295821336483724605937576719",
                "117712014229599383358442764760147932714",
                "330481872729542615909692766849557726258",
                "260794599734251803936216816907763803242",
                "147218789425844420191285826192615128423",
                "191966652976511037026707908401077176917",
                "230505826940362831439721472292714764206",
                "133810671444236181467896318751709499816",
                "165649576640278078897929004387623620860",
                "63936553860844907573107133136629369111",
                "70856290852756653436226017446561539779",
                "157112156244755845888616628241855261334",
                "119035583987619898591482403602570683848",
                "19397925913040064068288183014533117300",
                "222618994468141058607011090444358788354",
                "47828064863371007995170535054052184878",
                "131732458934408201068948880974342230102",
                "190248461785803461446656818426936712202",
                "319293477702198897510666266158061608114",
                "236002475109426452185183416683669679216",
                "238057827547863694744240798889581905242",
                "130053216378394119656180693136877291072",
                "220201766144449366179967764592266578076",
                "263137957209460487421418882470066544519",
                "91366958764956773770438005091860461181",
                "301653371320767567091166752846711501518",
                "285444119397063173490465567497563478828",
                "179393164599464764162602262054550939724",
                "277769590724335847395253444595329707011",
                "334152050618001629592897741172762072193",
                "165793303890311524012928479835624918163",
                "31009645826497797033053652897913525334",
                "226968460167368669990439489532367613256",
                "153788505318091204004733516804879606057",
                "207797467729766143477285168792050738761",
                "44130904039791293402769079264204256582",
                "95402437013474361807385097324489404508",
                "88572339683535557838988164116786998167",
                "120259599072765933011450416477316278815",
                "288730620904230682712170234194106023005",
                "8500913533478786148628183104705012931",
                "80070044155970058189240361607487225480",
                "250143891917460960238534957873311931817",
                "166260791667595624495049868983728190671",
                "97826938128869678267649194641831147959",
                "100460909671397077546691245650049484331",
                "330668984456164941767277144145079956693",
                "218825005412586693778495470552581139541",
                "15137361686959990747917508968136095934",
                "222689512315217128471714502661633452209",
                "5711408127962719223606984388802392195",
                "270222939143606216399439155917341191762",
                "83493499253844681388131690893506849788",
                "72310009950335575762050599966173180185",
                "44712610986475472998960438710958531771",
                "188576787993346116953449169704790572951",
                "279373670123351923957450888132582575720",
                "113053310229874157512650284925387348384",
                "376234254149619702064541230858569160",
                "22835524019071616863850820022164941599",
                "7605193613994828913560391976358663292",
                "324234767243722158770945213120047846083",
                "308388861304303814022492362047962439019",
                "25043583274084112876629947045128822167",
                "73689502655543533422329468650182309507",
                "14275136525168274027797324732480805366",
                "56551758655933736663211182375473615922",
                "206826229366797471513201847301086644261",
                "9244888268311723922847765095810420948",
                "169254697120867839433808022201244526285",
                "51179120928302942385401339542880606832",
                "224963027013204361086111098465513954418",
                "206776887431147518314409780374861077445",
                "158013512305575526642444429276396401007",
                "316294906954978975949213052973047752211",
                "116651218165468690637241788719543539870",
                "131386754765337791592518845171428610198",
                "271081293065855669538205217504604301118",
                "318733358475706070501560765855887579108",
                "189137385169723355784998256425629735834",
                "334327133981460041917944073363115120522",
                "169896259281512051370677788323276829516",
                "215775441795511086305432182451022448228",
                "16564375713504832099899246024755842928",
                "24683401821341701845331583948210578765",
                "198788681341921637525265825784134304992",
                "235250008070631825404902834788647057530",
                "20144356723325505720006007599982863883",
                "31235686671661691591212929009128618347",
                "120453198778813726590696883358737273891",
                "154462006675931828801171908208625571562",
                "175752752775689214759814828663666382123",
                "259655331008737360910019971364089851804",
                "146746054936569432335954634882599828199",
                "181314371365110651560060793740582278125",
                "88155618684432099455292292711465595208",
                "20984384421598061488553060469377136218",
                "159795750739028230107355194951881281716",
                "324946038741104352725948445065602300933",
                "162947542331389278874024090059035247043",
                "13552896951920262505366880407346191188",
                "218793989257127988695839387632826182107",
                "298955699135763819231952808447585679389",
                "281954722661473140708545317668363336461",
                "46178752020355176342655080355402504421",
                "78431689141294814958649772513313016604",
                "228973196369178754776534966457008651018",
                "13665212055408270091483200854623874339",
                "89440252882200380603794885683066382416",
                "283904480717440627232435205363963523980",
                "5050455415295295138066409720735380628",
                "78646043541373257053735859798900101138",
                "304290099402280261453270827174313366284",
                "262738867345370063834447680180330328957",
                "167606308878793385499691240217720623652",
                "9854616190902943220516031034359644951",
                "324275496247759352458859369252407468314",
                "42721433604943688305675259611307607601",
                "10855538705336033572182018913966914139",
                "263734663230847100637670703862137144530",
                "278215609611539940543811539283016707704",
                "272283920031837624783005693063127332195",
                "252619471934661565058119378267435427159",
                "279296843753664328837079821815575424377",
                "9918551436228976218620215229679017616",
                "40371814798666584453591947562149451505",
                "111675682614353218125746399643799777450",
                "201789634178581779271887147342957060287",
                "238343244810408765271633632781648354561",
                "254370126510028028010303737167383563893",
                "179747545355468196731896193097804847317",
                "72711650894669864295088837792719908912",
                "87739311333331113777504674950466864977",
                "51440568347006186744975557865324548585",
                "112972951809926669778378859349122922373",
                "119645137390101051900725777083038815436",
                "42666666160921741335389810007887102591",
                "267045345812993620823940267708766898631",
                "117114783155836902980420748260391058183",
                "248853932001814696164915805880785987409",
                "233096993456147165688576583249405319643",
                "168937337920547798895350792077082924322",
                "104337031226455209063754839939535294642",
                "326838294218647582765803384237877886811",
                "88805997990760060005823748802870210173",
                "114615286044784455657371630122980038327",
                "305464600683497139183083667656634644006",
                "257444376548573228734730244249415368102",
                "205536571848209802271040594626797539667",
                "203027840822040200181840529619189349487",
                "246635745011024264725528231523962625429",
                "178021861405000916804682189505316166874",
                "267643147611795103585083029991510454116",
                "40734436340274402949660947745883685879",
                "186922573623745962851485575152199164515",
                "268742891003119858061851855771384216057",
                "62182135383601997006900736816496462145",
                "202817549018169588810360978024357772085",
                "200459115319698800139174114478699261742",
                "11138461636879350602407553422049775742",
                "299931333521446801190213977681958764928",
                "72033230827596033530029274650001188800",
                "186730197971208287168886940140851949303",
                "16712913943774087128861723447919914468",
                "31513061960571509241841940530014357627",
                "87657895483548175468295914254768595640",
                "238924261985777691690861759656201099751",
                "328909844224111155107478258294918313860",
                "102502606210702338119716522353307447663",
                "176417091093103713897645376130523197522",
                "300875188358409480852677832860160280189",
                "76048327422394451179773515884415424723",
                "200194474034011606283058702816067239764",
                "187770208556739180750103410520225862258",
                "110256991445643871800983970928742679242",
                "14609483771357227832123698361941380637",
                "140279492252831249949866792272181290388",
                "293323705937491315219981225348211616221",
                "220607797532815641317812574950819469264",
                "105880784396950905168322630859185157544",
                "239954700808184991957702823337966602292",
                "276986126573585367773847835676747556969",
                "89305221799295651792703743345111086223",
                "178056090979066771179649152196019574506",
                "19407883543403322806793449566063916420",
                "25045658404706205233104257428361562437",
                "116957057141929404022606983430025009462",
                "41731006997998912153048281300670753806",
                "76510458458688518102063753753014639826",
                "169303060243171409105153156198731803030",
                "111923408227821013746046842560551412239",
                "27588996656201992581603111024819626746",
                "23556414546655810788756961532430818599",
                "203154776042676594540836314538521877052",
                "37668635866964969707951999572821004659",
                "286082537467898883821277474018559924639",
                "130486948018418649309683700554919585875",
                "138194672578406768838350638616096506117",
                "280055397225862934647958475328597980391",
                "160736640684321022602446352853878312600",
                "204117661274545631606599882348950890955",
                "275164668948757674234937052593530665344",
                "123575644358357679017517338235324127299",
                "54196922973215969824147978356583296407",
                "11675692715120043152680579984419946499",
                "115397415556268433805632049139355444662",
                "298593885549923018500219287873203760174",
                "29557413562795686376900008605300882251",
                "310649016564489802229674633433642564660",
                "217409209995136820115075252885143268666",
                "242601596032603954833556361721565589025",
                "278701118341184463712083930292510379850",
                "47607798723368999832175400583651114652",
                "283542230877055453384472800889055854325",
                "6942373752965323650051669932137336490",
                "1823700081928784109244739498943717846",
                "104626751818940681764059655173572257799",
                "170639602239678251298504113403184351686",
                "181295093334246105075082279671506661058",
                "277273132632532065494886106074755833574",
                "115011149279630071096910198441482536483",
                "168462574357185671874328651595416134233",
                "290036047061792145582079562534294432826",
                "113083712829956325812134317593229097558",
                "84928262380108036155221619531956375197",
                "265929607143567622230612695596421375804",
                "247284143460664065614528691384886053060",
                "321858507005239699045782788713115747422",
                "181257334070640595641982709968084434049",
                "95870242366620109258221900710183199364",
                "134810056602803765571503678952343719814",
                "59847731747117583362058645878124052830",
                "138771184755276746746941140761862261983",
                "140164480512005840577242564783542251876",
                "302142321307829748037554345877159986840",
                "53034796978763126417297625249631723846",
                "289338314422345873400278266991251191987",
                "318378650170456568000612377281186120204",
                "263757294873563804576500781153958320334",
                "299755985208465179101738926961160845762",
                "119993714652395072988274089126774943113",
                "113868341049058255553354907344607960532",
                "59817730387870207965226433906143048722",
                "101602544327469737337086668462301498085",
                "190004740378274003838611567808288604021",
                "316002907173455816120181366363842509751",
                "19216639629940172366275377413464333895",
                "339119848769389742965197228911551537006",
                "210794831027184609601512460399679108911",
                "62321905600432979373059841745928453076",
                "290192732741992080037014932041141049828",
                "332254136170778238013928645736565673930",
                "65894522951481915050146596801442516635",
                "146823443433289677887275969135044029095",
                "172330827216327841970615147418606668447",
                "281289121428231098354442622467088762051",
                "186644957471298010630749887774860077928",
                "314154431476856599766234079283154497759",
                "8931458837138974433066472716179250940",
                "174461105541680932467527301176160457446",
                "304884340606946263105097614265696089881",
                "220055209552401149248926930645557639236",
                "234620946143466521520631997343571657868",
                "173322420694873673081348772746335367846",
                "243069886326329812538932380634714475267",
                "140750142050097525790036017044560070321",
                "76116137919101572364938874549158942668",
                "95900024877689123791568885930485341339",
                "9019769377022552290399880255077950190",
                "255952220247903772464013650321573686280",
                "249219712988833047556743844369111258992",
                "105775096956893288146185934299872565217",
                "214631487673504207593324152234982456992",
                "142081073086498602226964479901241120325",
                "318771113335389474313316447979914681241",
                "215980683329524068746130627491774015497",
                "257284847644308367133549719089872348148",
                "2884606452095099674433479954477942773",
                "115403384968377614498171901521929457440",
                "244596357533375489370587316210071726056",
                "44147464646671205323218884762962543513",
                "186243298072068052676978300472190947178",
                "118337907165286791188769039721027106716",
                "294962642561676150274734034745893089082",
                "171643643720082007817491162597019040773",
                "105138979426232230094139799376294542750",
                "138996244536070077074649642810652465605",
                "258962575646529780136018474180340911402",
                "159191183247721017087621796114210505295",
                "7900457680125843646146990870523789386",
                "229279401310588951633371133715458071972",
                "328191414512002497120831428526500554924",
                "312077839738012054086314738437158570765",
                "31840114895717974589843934700499164754",
                "330739044234318962378622548723048834718",
                "273528981591019887751596761763228586799",
                "200698510799347761157525288873181591968",
                "145087521504249074966385447661926585913",
                "21922237615007606748394430867186890331",
                "22870898808416129410512245950623906917",
                "279818774358302371719558871552312789360",
                "92839447960123847640256181722281150500",
                "37729961592795914062481829343088916396",
                "243152959311095106270716619265756357968",
                "53683228933400632325314502993018340405",
                "53895564312607545440763769021298541333",
                "57126727231845967795958365750498454416",
                "49682000849715956486555544271836330417",
                "89874048024192362023691659833358193351",
                "96784257288121468237232665177192620668",
                "162793918515581170013790481309211524707",
                "215820598062578149216220862053483655281",
                "22033208382884645088840796450214708098",
                "84142498177923138644352253147714875644",
                "191819086280380115705806365185924098981",
                "101690280374729243955690962634418672628",
                "15640657716031766812610842272222355460",
                "226153570057484483698635707393107143936",
                "227021211784483554514818689386706829863",
                "67159792362295666475361479705729754812",
                "148386289927999441727866869684315931490",
                "274721294778448346375478784065293555656",
                "276347839993048656985111341603311348703",
                "236559241981115419955842128040280465990",
                "129327952531508734546729501031493217016",
                "239223915284902082150883846332837585925",
                "221753217724601293026413115185143487271",
                "254883895112221721375773560426778810481",
                "89400167049218594698820847062527066406",
                "96359591696596122890483845489752019812",
                "285906532177771427799498358503502861909",
                "5408210072129592164146053014846807151",
                "63520993568035241934748935774033040827",
                "35814257740969275818809381759504491171",
                "75715846114328323419295535352389208694",
                "264936975520305185151769087601843361537",
                "46731452694623954903992661847360247277",
                "256639006499174471717755492753072455519",
                "276695411784136179479775326672970577730",
                "33775941602818467381946737833116856886",
                "236862355355222475580595099920064359505",
                "311268377228199999705299622355220632221",
                "314448986878129493761906534467427111360",
                "97612650334880447419978053949570500742",
                "148719177359355855811071743303477800856",
                "102716280631592859639869163441902813449",
                "10434008455405888140267667926941400021",
                "274350935175432457483243867921476112928",
                "203698468829677264612344589717844953907",
                "84477081746451096520995841039372095637",
                "155882170787512640684549023123546180237",
                "321428614066938444144070769330967333054",
                "182173024745126317406289401058051949910",
                "293443254163845849141165987258468651027",
                "62278514209276061787701055862765887779",
                "197215543563160134539983005757353254132",
                "122688959978964080417087742012889240242",
                "193847222468479504532325850772504690768",
                "52214182186105312133230634501124452499",
                "210410858442969440801656049801515699619",
                "306965982731388504941319906698961924987",
                "129555579467135165136610392051343428041",
                "297727908556326433385842946416041034074",
                "27996671450737592746177182798107262728",
                "222576814350274733655700853408446088471",
                "121905572493775402498872778569981502585",
                "195056990061073299223133815403690364958",
                "302295985654741979159000023670262518679",
                "44610500285413729205586205878941079418",
                "159097117889202328100719764925602671154",
                "93922140364764435419320050433348018818",
                "338792344412037000476534279152504409883",
                "101678775382647987400903145730733810320",
                "280879062030331559119544280137304966544",
                "253554824047349795473624151183588605536",
                "96260485514926138498806678570003919932",
                "71270276172888086781645507695474883871",
                "128265602580523287887878149184230780022",
                "29726769925993855336317951464360322711",
                "245816673179664972122121517069033461841",
                "197359945726224217204354882122330357143",
                "136334371279608349608900823479448178879",
                "210241594824038249488280123757067988760",
                "231249475000906790968326830599981706758",
                "50554228286545075378640436068532784994",
                "65677872685360932363067053952859568223",
                "85561861684237860163368629536597874808",
                "78533244901773666496035154207825042012",
                "152856508344204948435941727501899029258",
                "294730463989781653196340193671372663254",
                "316091468468497234533092511144287858579",
                "34379901436192397784866035268324249892",
                "113667477338893638605739499209754123398",
                "64525636263604434449026520233737828062",
                "49673881002916344999342167340623618947",
                "147749106764084717815105456192191317006",
                "246269148752316668658473087064627497071",
                "176774246051867304637433349818154242031",
                "28877316865706796872497232634175058630",
                "289598263954398975122707940213783874847",
                "183873227520165723720004753956316108128",
                "79672127229103465181046511808206178266",
                "244903912504498718241448950831373382654",
                "155664449863050308322834484574537582526",
                "281097557550753126666214105064828366192",
                "23175919502960206981314814418078354002",
                "70790339713312271217983051287967702609",
                "334523040176131134195506789676937667069",
                "131463407389307073647049585730099152916",
                "144226070504788288624209606025247009686",
                "152950687519829565504964221281330754102",
                "81687420638456472431770285654236507274",
                "112515238088037180554946163537574227740",
                "136603061216149829908474499271238427242",
                "122492556674816934757917391003926754088",
                "60487630753215000483506381524304952057",
                "253840345528810488393270948555831816419",
                "245076991407741309400243065900135201381",
                "320930728158005815070997169608566038020",
                "24014890464687986717925223871634200487",
                "67116195010848530444306874613960029668",
                "83484057869354066093547843800959226088",
                "297160322745802982513746604727116394918",
                "92044025466320218551287182363840860553",
                "228482692484800789716384918034503768719",
                "277435009317001253790162945322987734564",
                "204600252359630716081423651404194160232",
                "305966174655907499509808826086126494468",
                "266665325474216527173700045981695054646",
                "145526029978716816631193912946773114573",
                "52724778102992691368402523271797608424",
                "155316560993318738727115470477473886858",
                "178437587477019683642988165314012223828",
                "193708437952628770285258118173607707289",
                "80839113855080975563484572929984491008",
                "10083121503536030318231953970940221165",
                "43353910050880403196009488303278352536",
                "20287753996785558973208161149710266557",
                "93987988457785615632167175089672887778",
                "89053567621792901396722190547385810121",
                "326054332769638855359640421912169773608",
                "169745651226669454302509434998226276602",
                "309515034746703755632349115243943318870",
                "204238108773870645384163843939950627669",
                "169722233078338961680990011010095371963",
                "288572614864887870513115496625002019583",
                "31025582684624773385520324471228038880",
                "292111675714071977276352366191188767923",
                "217956932688755926696029388065937686677",
                "289679950504257233227526699589237099217",
                "133475675302532609354503879754064361105",
                "100293977940154135254569157832359706544",
                "207540583505777862664176810688898639025",
                "116689935222329878812614331025704019256",
                "52563504317228622815217484652852734734",
                "244810032427940660008802912942421628663",
                "17511788559412105395912083608075539092",
                "56990794283114593492512181475407331048",
                "45851857318883693034641410339548507499",
                "190752813650922111159472953559322073158",
                "234524770553989923630247558320735013980",
                "248230846874063535183314702254679429911",
                "298162901094379895416026950894301549868",
                "102777815599604649820454973315802367024",
                "317442805672898260409080106219148754728",
                "149993943051807560015812924571209421555",
                "172569129118892154120721129615862016950",
                "160784231766579041116592108256102576500",
                "98095743391094403894808456534926622201",
                "226910533662304569919178483034746132865",
                "62518799266194803475710197522261431371",
                "284366874924956816612436879183182880070",
                "278746872648579201582576139545825279310",
                "13956100622167981791229534967337926910",
                "281481235663874187188134159689661256039",
                "241292843259521692843312040207092848572",
                "221684080047257688418247321350950143860",
                "265784562156090173482036366755391208463",
                "210867357886583242624831112174324607714",
                "329451266709470886215694878373714320426",
                "250503752705278455065456671838345372518",
                "28813481698765550765134541368551942297",
                "132952796336095984612966997677176580565",
                "116390669307973828854388056961191765494",
                "131625638547501898754785877740653539362",
                "25221554383180309733346285604381433476",
                "189922191238070370792323784265714116357",
                "173170770898966752395409114802443746375",
                "57587521110652506430166716326937509944",
                "97067404506095538199370376742942485700",
                "35274538763538070803985026425196575848",
                "137106409594710938087336762673844066923",
                "35160270204243017764439177009493157605",
                "211972717773088782446321788933742398386",
                "297917418813753608447274903097431160025",
                "268846290371869836612934293585073605884",
                "276696881976358433881820040346826908151",
                "36831721402215821720193485569669579130",
                "128140648289410210257338402653342944376",
                "207282509471601932102899229062875299213",
                "63831450379419809439154246632612867034",
                "205482643351681922856262581707510639949",
                "113829873868403971406692480522718232005",
                "272951102090695494761194191668916478839",
                "77634897478078664807183944642256299192",
                "143360127596369234372802248976838481645",
                "265628602091892820499836146081128060118",
                "281403873880616082261007370793379109289",
                "107776794946892575499258972382681982971",
                "316183424735125495502036294421983872386",
                "174378230347205176686631537403100231312",
                "154459169392103878185462014481024874290",
                "72539553997756494382377767363175677426",
                "178707944186508530431100199867091965671",
                "98950935427552364820396501416411458468",
                "259980043780631888814536508830744771414",
                "223593031148415633429311446340770564381",
                "130140719747175024178442617608181626287",
                "38127643418244593218398618069882325765",
                "33511052469309186425664567965137458875",
                "164345522874128016218745248688291615374",
                "224246248602186008126141559428007629121",
                "37034874275196329541222165966993528707",
                "199837930785501047371096818141107130617",
                "142578570358144206333443381598964010839",
                "314435709585903902608156254113565667721",
                "120647619836393700952693549060388231721",
                "121291093454677196670204255738539982176",
                "307641177144937661691445219129497936302",
                "30679151525678545240137490375540423628",
                "1696028133387651810738496522702261079",
                "108734008654971210928781060848363430042",
                "297765902035915016422241459979452420836",
                "104393180210118365114507163941495418729",
                "185433563791565528681613033581679087063",
                "51623441960590164128495251804256745759",
                "305723757106116784041957656097564431204",
                "255300325148346301496453053538737164997",
                "188138530501552768579866743896859265648",
                "126369692901305752128119989810609440393",
                "249573101072069818844561813237443952310",
                "122321650586649087097323080761153212326",
                "337576158642367561861436059542273167287",
                "172661602227075071674248921445708557749",
                "107726172535856490455680515033424469715",
                "226793711349082332344482814226760782275",
                "216227457737823046907045525235673429936",
                "165073289433117397550054061141579131449",
                "330186273182830112944142875141599681269",
                "82224637858971613422720137229950658473",
                "2883814998128515574293525281223586083",
                "287831374334404956535725448323522232450",
                "296615426874307099586443893366480495086",
                "233544038208024946071208490217751374156",
                "95817523220780824379231679690690039538",
                "145712900734376196032286883646844929623",
                "324661924104210887389141699228014962218",
                "88563756976845473773125804248336231632",
                "331239611617674488107397871287908378922",
                "21504944729371412902440471227161050971",
                "179696180527888159984848020517952962745",
                "119874444562588140924995281599428911239",
                "313390818540656731238666034629281406239",
                "332412229850751659424149873771285640107",
                "1568630491972028151140225773663872503",
                "145606126223445993425731948058892984497",
                "229466451771622287666409689471254410462",
                "66885385598014385912753524977739461273",
                "1420545711347375583475703279644496916",
                "27823902229875633062621147343650588092",
                "248645909353892082273301613883647376220",
                "19448070561621949532958464732018793821",
                "339477186225524428909333408774891591741",
                "226448132041303168352943342606517870889",
                "167083678354649650575499479641565642733",
                "304561256160595379638850266978123142333",
                "180882410448610953267022739915715206739",
                "108612128050255717988094643066412958527",
                "50898004694419205462054116793418372799",
                "317756511467892630318220420508508829077",
                "2479832110292991724930194667489120054",
                "26044653636628185558592737898508719555",
                "35549665527437662580470336259734826592",
                "33545464346251092790374729495484786251",
                "65676597857227703252181471114246865779",
                "230256737652215036735415566761844441232",
                "157129764938203382962759442849494249557",
                "213364168794419581831503005061702992067",
                "314423755935073837344124544816848989655",
                "23326326474151815386007737780027442972",
                "244719925944585557483804858392430600378",
                "1697091386003895703376796007221206479",
                "338890815751727621356216894188508099903",
                "198764727976719856284033683598660889367",
                "137671489382375261217568514451852104482",
                "218768376978672383283073252988630629926",
                "191559016546593012369312111458067232774",
                "196947765464950730082676549805724499058",
                "321358098529471875349651600785015147380",
                "317164734384365682021973940774796926820",
                "33189467537899942258945179738524680738",
                "2216289190393381649612427995471391037",
                "59733391983812299886929076136908248702",
                "94050226567468810899771675017095140837",
                "263472638170028467097137782280137363671",
                "257356012581636393424558710714674478127",
                "14934730394862545455818561183781738041",
                "84335582660413005418464786653480646715",
                "117201505945576210005536607974986860278",
                "271941818619946209666170662136351796556",
                "321172650865334853127249743808648479413",
                "304587535445553237151974065346623075849",
                "91821318058486362662725604098683810428",
                "302845822972020791655776240174426400091",
                "190067178926641608221235693205686397436",
                "151060921985422774291352518167494434146",
                "269678753011070945817407945676692540300",
                "64459126045874686981990320571418557195",
                "86131486153475344552971447869555400373",
                "158626307757038561005586404419158532543",
                "334688063796649276370780694859671292262",
                "136242974738248318062784106249130855352",
                "112162961520382152562839318103878484033",
                "213056787512537426230913567533203491957",
                "97595808338904201807953581104111370558",
                "94591449660630283310243186753053994015",
                "294270528242900509734122349131656590433",
                "259622561817500962493418573773940632556",
                "303942063871484588244820862132997563713",
                "122085438643423990857240456054118701076",
                "23483590655157326421224502788406474550",
                "197283761437673158331203830187931442781",
                "36053889020366878528077194420307548103",
                "37744939721649979339955235986049465067",
                "104240046328356282979824570193362616620",
                "171696914167349688392582771202651450427",
                "198953670312476593920704645442110274194",
                "337214053835708688571684785064106989508",
                "330899078623296723558959508493416161853",
                "87558521652886650958198743033034539926",
                "85096121479779882977662924065407029609",
                "44296732479639041977938537235381228234",
                "130299197860552470446613746146394774274",
                "255166653154498464295292944652009626363",
                "76957434034634037516319266410659165740",
                "102157764104949762248070283106936039942",
                "328349866583186387053481180457998661874",
                "4268417246523348121562131598797547682",
                "236146226889999451360900210523328303320",
                "244076044204616933263731226401313640089",
                "233746938120369183135192335836133726380",
                "223281743498431312757946533699862270630",
                "106838931051587519380758066522736064821",
                "41220615421836800895992316016912406813",
                "307657986322939037253025189474918187327",
                "186563080631768945592292741348338565810",
                "222575084257724145835474067365457017488",
                "318766284559103208204743668964771147220",
                "222208057236626512157716511533366614363",
                "338923420228442246618758615755652876276",
                "13189743042001112135010865174428929869",
                "325839664863963276462253045283043943989",
                "293556313279201632048479491320347451648",
                "39841474792577479054501225448408924985",
                "318155960712331214740211829728189734437",
                "315142707195571799280889506917122628206",
                "195891568718707099603386814468842457884",
                "87333816652702208376449249907728958045",
                "207706035471901146864822807260840090270",
                "194681161459450236356955833033701273868",
                "90644248638785123577773486181581155176",
                "13802158561071220454364556322955077652",
                "136754029238161768813229081033684889013",
                "329852985239428141929120315218577755776",
                "293723061700540234487498994883213661850",
                "78489268623291521552169960803843645930",
                "170030476881019348610276392290662797803",
                "222134477167915071352836545269104044263",
                "4217622715047567604176944275203679198",
                "223928731859108967042794031691158041194",
                "290562937637445676841016262007873550929",
                "31504367623091335927414439475632235532",
                "39477977276335709498909205782318375887",
                "308555971872398840409998404252858127861",
                "164477761203521325245185402049796589362",
                "86724772017846243141268012590975386142",
                "143493402182597738580118702741489049392",
                "242006858886805795170011626801839331348",
                "213144268077634823244690668423129876659",
                "231193874750313111975020657405455960203",
                "152592815520913171632447406676985886507",
                "194757539154225510512147455526475305606",
                "103998578786230796318207391170290434995",
                "199063592588125902435501710302460348323",
                "298058900151101737255118838083750242311",
                "249919687846557130454819797068576729886",
                "145566856240067991082154734343058069091",
                "298178061176846299235603479320627397975",
                "327340632020365046947319870252280254371",
                "69612390381008219598068656729320177842",
                "90113756676202884492653565091025612991",
                "292126584718693804919890340843203385134",
                "25466401108712721711118344161128010153",
                "258978761055164310139127056967359136348",
                "135285040316529179600479101724089094321",
                "221764663073314792373983933283156093307",
                "11853192793655435004920849381978771813",
                "97967670583824855328692729263840933944",
                "325454810236547209144631137454186643829",
                "211057634341451374830492109153923076472",
                "69441555978719967559181918266270745076",
                "264357884793304183624753533563056898781",
                "63912210182114559836236860450233511540",
                "237837593297519454830952282635059602070",
                "142524537823994582550416691443231145451",
                "227311058039668681248226802046442896157",
                "146149524760211728965850624882405778187",
                "252429706635133096065292137272447246701",
                "227002528057368747789253222482772288914",
                "136930290660795078601299680574045790908",
                "311190534608676618832916560717427510587",
                "70976722114788472625677197713520781457",
                "223558806114537208737080186530016005232",
                "303202476097300179335486424797605562639",
                "116185021374245121107432095357670089152",
                "256636296016844251844186171881112372469",
                "94326024632683398181864843531836430323",
                "165670625149867904168251571094356851244",
                "258901467269496947651775852053547249084",
                "135799041975659856355920129833988226720",
                "132735284604573139674275331509154323768",
                "318401830529806070118603879244709322531",
                "140870838013002296975055177487508041815",
                "60678467721644637537835248415863282902",
                "316052086276798221199242122913932214869",
                "250651630185879974020344777556919650568",
                "184572816325910601961917978879956048383",
                "338277526766031733164573372620674858310",
                "338147888043444206163782010019517312759",
                "238874809189960477161549283791293077556",
                "185636181178041530597252009253992761572",
                "114214520026362173249025771952289049965",
                "340048082556355183263557264330111621594",
                "206534382755541185414087801949940318465",
                "315167095267800837926473574704581841969",
                "181433289936892873579856857065539895657",
                "61941928028261264333523231282664907804",
                "258741951317573842991246091954180786479",
                "237456027127175339391455608133406064046",
                "234785011353026783089364072591822273515",
                "307346077072146181168302007847763339808",
                "161761702630296610039057630655944142424",
                "148041236863767539129323398388729601347",
                "201711776277349384929317861461394762777",
                "328682985723178974362915231314785555328",
                "173818349684462428941863191490779977118",
                "166489179685568653207004447777211688734",
                "99384386154074868487803713636170257055",
                "131374978259728968206890820660230313194",
                "94558339505795423771525422954804307984",
                "277307573399582592413730779661516436916",
                "213177337026896550155133002833856794026",
                "307567357441528312354791402747747955398",
                "43266310001301933695036832073055399504",
                "204735274849794328359672217772243444588",
                "136405421649956777225940947455387195655",
                "288708780673789373260358732193484968334",
                "58982348469662597280964044456701525390",
                "13272383087069599933315598376073375189",
                "313229381903929589809828156769848474490",
                "135415999866617128814630889669756408216",
                "306893327012615057358429430662791986937",
                "153747887470758227720828068050603821388",
                "113310598644599729669868060066799291919",
                "153239921003390285527326326308723063580",
                "194137690244352164212353900978408527383",
                "49293114062790296915792711144694157927",
                "56014427710135318559364746665134068109",
                "111489353735605549497394360802188885141",
                "191867155580391820333526362506393745472",
                "175996031446496095946063258490459672905",
                "237370010424029294134984983595371545420",
                "1703667598765056994763141680224425571",
                "32628364338002218437066112826226809694",
                "233944071168751032481885359637205752713",
                "158388837676772272413838541173375529803",
                "14869868471482569545472013630119570023",
                "17624820801339489200186943796640749880",
                "322406577339501233461711330317787440100",
                "157304659299470804539266106131817223664",
                "220997631420978673535996165481710295805",
                "793289403594659750636971305050884465",
                "207726238713962553307168266955244506156",
                "246877888359403940981696396288604539118",
                "5619448371903844680675209389467498000",
                "259984884940343385693090086888056885234",
                "231919839654041493134595257621738663068",
                "37691226835750438623520096593773508685",
                "22505893101112814330447667841357945426",
                "283428401537913434858228811833394118566",
                "47303111640782397454641831811832764575",
                "298793698906855155701548316775351345266",
                "335062735717991088325670082998502332195",
                "324181142428759037470013829238406110826",
                "84319320233297802942578185072001113405",
                "193571284247232754338595930575734401114",
                "117016227455649332320068524777421956218",
                "41757360529626656342486299957540605751",
                "297643056648975616556416128470452900643",
                "2301262551982136053575238110766843780",
                "278283642399594740006087335156470796193",
                "54077039347899638327319603093694859237",
                "72728533694347781925827943236449195",
                "316026514362969508261224302034795829544",
                "191524764517249420305985578023818923422",
                "46847705180647702553580683608591824046",
                "205657498098155381144544380600314497613",
                "44646978832700836414774509237048064769",
                "28999455554133217308530978481694419798",
                "21404940956755346406894414159370373995",
                "321398668064800631235000486083977153712",
                "195655003572438759513560967535160754373",
                "6916651694823505182479348438207253604",
                "18087302724009587432501038180415300830",
                "7320528674336555562449830614033557209",
                "336173708200294826088665924944768295421",
                "94123161301356705576067434926685218012",
                "68326603053729637077391012499387384323",
                "77037279581645145781959950121479769614",
                "299775972680149075658570462442926390285",
                "283440053612872925928588108397874486344",
                "242933270250759722397535529831786205563",
                "7911340304684566400175981659034672935",
                "47936871339869145372246413568292781282",
                "213232508606403602409552194044258575406",
                "27529860645427453354070476755808728031",
                "279088779600219034353980054412370573413",
                "122190876829146410065539985676304197736",
                "183789950040252773180706577832078365494",
                "176614784713229942931600994402408371569",
                "82829620151897118601567578217356561522",
                "175303282736552972880232990152054045591",
                "242908430564430706014712179170456039128",
                "334894170462253353703640551828564942318",
                "59384571329098365577498341511480158500",
                "98255619504468480596128442812396790715",
                "334163523188504438627626983417671801827",
                "313784245949766216577596891828003680253",
                "62898842889094438767768047471395868819",
                "221880894634975831380090208537862492525",
                "258690221220859774566728424697630292395",
                "294122571653048968881471055878198816022",
                "28495998097832257696693312871009130583",
                "55534360528587064941184937269043679790",
                "246192909369632637998140017005863529979",
                "89169873285160184427897232729591949820",
                "165629801385798882600704377956243885877",
                "62773402731992918148013950498440191062",
                "281595112290299932355273719647589998319",
                "267612550540266821051178674617763536460",
                "205327731751116641826935214989723167766",
                "313116147176851097684042804741300866474",
                "151023300706942975861257725013422683471",
                "306478781314352303354696039147950263990",
                "333118438141059781642044887978542662648",
                "180698121827955484841647872587479670027",
                "325713735821025903808467837808008170042",
                "145445261780109515755430258547802792693",
                "54639382542202987586337448587024175616",
                "132436978104850647535668266522246600724",
                "153468670822469608907629339543121774476",
                "14581608043903047565108923673169328649",
                "206900762819959553066673495645379991055",
                "29442085005068426139249015872619892067",
                "9848850767981502339030073387828982944",
                "155494497858760333923483315936316146036",
                "198402778605582054608099980408958164971",
                "117635701218527514136592347378818022106",
                "55513309776968772637721392238066923449",
                "235029678879963578941052658691114527604",
                "141078705410698684825847771648648980589",
                "204373194795047005392189556659763092814",
                "87298192593582875115409587973721074930",
                "299030316945236971588594496987943562557",
                "336485101070860829173180326191318420616",
                "3060801910426047764689378611822800463",
                "128967276603695893541507128628046824891",
                "91911612428391182597769898740668611753",
                "74896824116787095122172019611258417051",
                "230705493047225696481511845500251138550",
                "206801870287702764642280864292243413048",
                "258828561722866670784113608602030541278",
                "332563695224240251493315609328182195816",
                "322306861843297765870943734141831486230",
                "45898740352184697601898223428550976234",
                "241759813449515117953941010480250297663",
                "77409850401932915627232112656824947153",
                "283427036674780785042849554061203559123",
                "102702841893854036345679784580970492538",
                "214458341192021419965433656513064130792",
                "255481055287883215148516291663710975267",
                "246882790533385965350146333464503519379",
                "139908438757117001325414073616733915083",
                "267219612566068564111665148200010811736",
                "102354385538319001529747197698738008440",
                "81978483140818347211774456801043619334",
                "321500042168376693759824630438847268072",
                "230367486900226781953747443335335161601",
                "216924314515290687280780154747751720320",
                "62428902270869448279531101982682724690",
                "168021771003703684059939412873954758806",
                "242431247855066900673731638531666299656",
                "249767971694425048905577392265716801584",
                "147902273965359333363420471420932850814",
                "141924345193258448792798298087772510443",
                "215575148809619481328553719197941050560",
                "166041260367011571029087878188680340731",
                "286231380623701353143272283226069777658",
                "92688526671418800283919222567483598632",
                "31927449330836671066156189019781678400",
                "325574447821157861711744591528305119362",
                "135491524687890488653494273815003926981",
                "135255806890455298977747133259564349299",
                "316133237338137098433316808054208175986",
                "301447994849871169590519350156261086053",
                "252669722142864086689037066673960749890",
                "149771436916077247831044852466155879775",
                "118043064505927568291114249724657733530",
                "235224161353269240839410968560532145605",
                "22754910738306173096794419285883558477",
                "188553178529551417287779131060759104448",
                "176429483073834592544447622176298235850",
                "165672726672421595246353227086197395095",
                "237270969069997768838325873724240304421",
                "319320681620138895235974898768682105858",
                "11108795144885451207007662014615762824",
                "69460888421636620930737884617662805063",
                "246864603672472055334539243585135355796",
                "122322608390463285484375221083513806609",
                "100867895502864969467289874222353645258",
                "189763594560235148365676389358063690565",
                "287083434833604661476757195470208613542",
                "5565492610597005772391056822064502810",
                "228825208219402406432607158791137946186",
                "198770626485273121234829187320890081272",
                "172305787151308951117749649879720063708",
                "213655132160831287510118767334186193238",
                "92444433310782979581771677982401949339",
                "42166880710522811785011314894818005189",
                "50922552882936198735026188819191510806",
                "155689389576707023170376917139564334917",
                "52999245785343844758181324068917799100",
                "198647717934101747613981009512767795609",
                "26163720698570421773134827603232578688",
                "252458310700590633367339605507380209874",
                "308724161741886507230902816730179233217",
                "48890109942723948951599228835413934896",
                "205524788955935125194436777197180192414",
                "144607298063952138869020163335678662399",
                "81023426764904539621728630697641680236",
                "43748980663253482390927197776556725398",
                "213205977245161998803292226046177024802",
                "254724284204057440117974887702576226926",
                "301185294559582017773348788738236902606",
                "255638994788071566775479149847347189716",
                "92264677721428054452550484938550514794",
                "91686581671644212021770043511823939826",
                "208441034236455216622548421326376053071",
                "5092957182665372548970984767384738526",
                "261293467329409066965854179998562736307",
                "318169366046127364369803510841320574303",
                "69877526524980455468982758427487533987",
                "282345398424436243862333185188690639159",
                "235142309086711594723548656517498462355",
                "165290130197201975295203578242310446488",
                "129607624422461368914364583739638569590",
                "12909814174746537945393602483279573086",
                "225811422769825794521754564310517621701",
                "296475739876231799278935817135713076630",
                "257012722406023030189656554105898182082",
                "21155968771414923747728513805049509383",
                "156922233207759302086682364549947973292",
                "56387540551717393313190286464973598452",
                "186527309537087102420378752436959358020",
                "169326324555430844153222210548449510828",
                "23037066020375559822154754694884346195",
                "41424786594036657917406475979121170103",
                "238672291121986301644663491238282761497",
                "111659082227772877907639058202106921832",
                "61135282255895942837597144962740980314",
                "45017927599317929598915892673807416829",
                "210030226549664067658916560647213559165",
                "152498771850740583466838669047253769247",
                "310565592859237894898772955777818899272",
                "5308347438921582891586232330521357884",
                "337279431630469762036983595109290653052",
                "25032630441272106751213003422791316319",
                "173733915073194432138832892945818289358",
                "76826816028347284712114310529421076827",
                "252346803388794551635293783878089638783",
                "336152208931241155860053503559738901686",
                "88424929431298394619056175594263357044",
                "271291873511041123147514710879611513315",
                "294344022687266830861180712952978133419",
                "311336464304988011208541972289018412211",
                "97467706505123134481760444602301421960",
                "336541260631299912211948886810863441591",
                "196958736931883256473850626207942660882",
                "325605021746268083288325651955961400885",
                "65219805172337599012026832760437680768",
                "243378685772366638528639154107777575088",
                "171853866586583264301121539181608291168",
                "13796153778478547034240767436489330877",
                "238283036624954528957130450000842822063",
                "166014071416814619277932896969800855705",
                "202604464062859659210807131086622662702",
                "94985418017384192516967771224830355875",
                "271473441780158998406716021485449400891",
                "247663116695233309199471924157996217462",
                "3484491772995070855018400980788587756",
                "11551546142899343272686183878501470880",
                "17755860000390670021948186745474939662",
                "196813894727872188269769598336171913878",
                "123185921362712105795970963086513052458",
                "201735755723806934667038293968849043211",
                "193575114305990279648581027812648874015",
                "250354332606947084183132732772239951591",
                "271591736772657177309704552406152734554",
                "149705277893340717753965518256908881768",
                "335880912876228980362462282986276278579",
                "40939301961319338460348305194201130386",
                "203274366589322369885816116912196096831",
                "77295614234667104399986632821239451055",
                "85339474003703796165363242232697262455",
                "209709664462179190271673870147022818238",
                "129453160561728604236840081842781955132",
                "1462415722410041387601491262349537900",
                "157796335955327739483769342321637351856",
                "15143440965033676955405371195423845724",
                "129981044689878458225224283061061807081",
                "59025259478563458558803941890373810562",
                "6681596728047624967409171290379383246",
                "172063361151446751117274757194790469457",
                "232303346517006153659823679279688575184",
                "105416970396812898366279025376998882762",
                "6201142758521182131088104734769191353",
                "65222404152873678263342541425560384686",
                "134989402182057373545535324770467405989",
                "286752361505568144678086361088607592771",
                "318253974936040646788227171849971632032",
                "138020171168076246370625237844350080029",
                "123228986405282549802096123940090773334",
                "87069361519828958804472775594255027850",
                "17821164610294033015913590151936056118",
                "169652516930794399878439515332179523560",
                "243060620727192316832307090476298485683",
                "251463231621059795247908137834166852878",
                "42630764573755214918666513635202690804",
                "220554614282427594429201559701577052757",
                "217559244313921155350375477044939276763",
                "279535308090602366656537631009936727484",
                "184673937033511551244638074170725952858",
                "293788527983336349283124549138859563629",
                "42947455784331078345117616606120313689",
                "128286442986086277844096175095570833395",
                "173564278964754436257193681190466494334",
                "339796489788988575365732813456023906815",
                "229695592214173425434376185925888139779",
                "25210576817430505802974466854946224851",
                "163978228340633959056233833673792213178",
                "72283061498235889198654053785184998628",
                "168900995918578679163482642560685682024",
                "301814685598074342199841252770787195715",
                "125199949348590070610729488284110764943",
                "202049106774549764717016870185458106493",
                "154665083651880260006631142168687097471",
                "115674404557711447135424587480671584631",
                "27086298406976765972322269472518357754",
                "338499876066750824381873299623103189890",
                "292181811311724530651437289226992880609",
                "182697437818753713055363230286798654400",
                "33978786034452306072832771599048833194",
                "216739090282378777873786568910718552554",
                "1397480463988009115150404456940315802",
                "136806368255546825088080829072584226097",
                "270632678600024220757180017092968970077",
                "158819697471845638260135936888337281024",
                "47724781515420872169808049482784525659",
                "75547034689239049979906375185913425531",
                "40847229715067285286922755906099085053",
                "305804984117866092580971243141920998088",
                "26151397097946311816979407560849047328",
                "263246246642080838179295322328101164185",
                "31697561542995841070024509021824459467",
                "266370244679465738211719674142861484481",
                "323747439782873358023851439834875845677",
                "102679893717332352784758122839890308418",
                "330290286492541048991891331664779488514",
                "97159977430846690166141265743345677992",
                "95171470049007587700986120183472081432",
                "336815487143279768391537040945271184684",
                "209947355046967477982550145322629513922",
                "253474832218420764518145149325503611528",
                "272940118560090612948291190140498295096",
                "102238275941252927242572563277000645073",
                "321308365852791676227822887276244842078",
                "170407762663216683062179453253017113899",
                "273079214689911294362678391468819403862",
                "245197493453404740176366262819543125430",
                "22979289156073819964776495683460375075",
                "230812392450411834818021725993237219861",
                "172535871005413864125927905853380020376",
                "121802477870841180578674753349917482326",
                "16383159688477550911226990083663648299",
                "119764376881280582422352211831128728177",
                "41027141543545113144960026564162850230",
                "123387298155874995114107211061370515383",
                "263150678956222808044377370205127135448",
                "308303862431992466475654505490434741491",
                "220625624435950350936614325207926241248",
                "245261222500160184489534226881854187632",
                "315246281489877865376959893228244504437",
                "110153463683759901423370351837876502836",
                "291521916131357428956608662435219818708",
                "293978649224368032759284421022749260099",
                "182417550681920933781288952607783821170",
                "76622878794910281959161838522937908588",
                "209383623207296890127541646517488703325",
                "103927433682155009864623620478308284831",
                "106655615315817435997197229697289318551",
                "51003992230011752514879580852806460231",
                "121235719697573955629729023725678133879",
                "107253379038717840513240931322335703368",
                "312007498333899447168590594519714107422",
                "169609020481850285308403140164407677649",
                "52720810088011003784913882657765023770",
                "190051719182398444791508632196251915169",
                "202109105699623972866776681803075269873",
                "267315247882137715733121400066242182329",
                "260271652129628873335553494116385805534",
                "260711258518837061393518073119080510776",
                "106465108960353731591280927329091322437",
                "192048213916846516798121871096507991159",
                "110028365243361713084794485760499511424",
                "56170055162944570995552660175824079340",
                "203502647925891093736874527722741527205",
                "1443041041581114471361454519700119008",
                "214614419496675374846121774346923936696",
                "1770733966415497485964928570637405668",
                "46902158201755543901214386541783931041",
                "232278665973873005784669616473144549548",
                "283864430270156907531275923453354829078",
                "122573318125186917793786181257061988891",
                "129649788916986911918049468202610039965",
                "308707519802064363915142245301434135689",
                "193889449247056100569504812783155276935",
                "160887502052336787101409853081202255002",
                "144940080828319431465817987374432638973",
                "323333243643771197180642266081012740958",
                "124063496588113827680561064310386131066",
                "97224351980846083813383678082889108877",
                "54182911109097111272307086441836308049",
                "301866176022979467875728884432508444574",
                "206488725213307007246609916953669584364",
                "83198228904734104018204984810564009975",
                "40437876436256430761627091337061786692",
                "67678450205815284476763282571682525815",
                "252797266124538609638766685163166477190",
                "227508710987474389076205386824810792662",
                "334805338653422565659030606544762254604",
                "49626224561300744579641207593738930832",
                "132292053426510530611345492290638497239",
                "106077613715744456746780966701168229435",
                "257991506972803486451052521841025798831",
                "265268893864241450764106454619433349300",
                "28210777411856131128301826264468651732",
                "212759273586510166373856776434727987829",
                "20692787042863918123293635986085586416",
                "125008121629949198085432144244213006045",
                "206896186590980337388145995840078716903",
                "114784740839949663175230290312213941553",
                "313169054216812414682267368430347467651",
                "318325889394750742964786433894566520639",
                "201528190601347132418923527620599935815",
                "1500872712492670787766795974515792162",
                "123609971895976495589248169795937483562",
                "205897543537227800315051760051765430912",
                "263979344882609640941978789024152692841",
                "240595308513660113255616474671993180129",
                "65529306916629548429185752759738483143",
                "316734523884351693993338548069646301192",
                "152372790198308953853084768037241806611",
                "297024314649470595227350477372961629618",
                "42544236549545089473904235232609522819",
                "308746161705795435899037386606839071504",
                "119181926759588286720405614737525366965",
                "166364744077402201916736581938333922519",
                "97992190433887560885884320757110821904",
                "174081084291471894688397216854144454034",
                "21163423764338526263850061913574938939",
                "214522261068103899627864083887430918798",
                "32492098744342026082911857417732896697",
                "308211820430871990882468034754175157637",
                "281095078919838378558969845949667697447",
                "87956744861161606217682873176891669113",
                "207483098233849681482624388593240955648",
                "63913792149731825355302276549783617798",
                "89186563171425379214310896542818389930",
                "91236365779761246515676253678149347635",
                "207562972891411892816746472102593502138",
                "274968956398033490787088279741364379741",
                "83287760853064504560008893966638888428",
                "142220216553548600412643133389175057373",
                "30384621597460801864342734232298350972",
                "125687490780711775936774084744830948986",
                "37075610873836852517653588118594134419",
                "93290169006446181181022634593659824091",
                "214409568085524959063509089560537128872",
                "33954738990304389765171521032516423506",
                "31894400388811768429625833202405594644",
                "268752878578432349852589091337644375032",
                "323569087266709741348993911232650862129",
                "285169953799837678017965585237257238101",
                "256021901731884291857140573142318229200",
                "150602866948941803772936794189706110802",
                "306041176481708545573709120944104412307",
                "198499826969470341226111512233889607063",
                "239373132379056980667209488191374271915",
                "311467603624877954663788419035484133847",
                "166403422161960861636932176490328018710",
                "168494768777999751762322735482624412569",
                "155852619616337006797462747296263104203",
                "80377087469046761170611835386640130253",
                "303707594317527521258018523239221124518",
                "282643431362245225719315245918933712826",
                "245675879948192907236342558083828003013",
                "210550376748355879822932236052737418641",
                "286374534079189044491251207135235065066",
                "103466102152138121198580317660934986800",
                "298869612834347537362586752887011452890",
                "336178624881474001804336499374515100663",
                "337240131337026235306638132226697877392",
                "261798174193583529430792970246560650855",
                "146139386377226513846505751865638977114",
                "138000931329847316790341702411475673581",
                "224540848753551751345843425772747448391",
                "218209497690228655541143344447090787933",
                "270230704351333562870721893035718718091",
                "328304915819954255392227865837735398173",
                "308372674210032362375809498091730075876",
                "326688898990449017340975971109081532127",
                "88142299059298498183686944990586053163",
                "128576880504761094569201005629686894826",
                "288842499851207689562334837230522994005",
                "46686564759313127058463720484264161558",
                "233095579498559604569448568787246429150",
                "316859742941735901356182767605051948241",
                "154869333459148625545686704216563359214",
                "314022526325312668532287437377084441254",
                "325388269648372155980011838051843616699",
                "228138864422059107518048910057700660065",
                "74733433389840263410715785425055643398",
                "91524849533697717212193270318954856662",
                "61777316411779050841557078750724626075",
                "30910521087617005111247749389276730260",
                "226344815494091353221400945089513177843",
                "319708875310188664083963082842759404216",
                "299925486204355286491195744838111147994",
                "67472941939202713957094598846331532873",
                "153798456512628912134848050777488607888",
                "178818296149747247555872269966426447923",
                "211380040110873974787459521059144804759",
                "327108045080558701818780560870179069327",
                "277378124255257495134671990439483687966",
                "248053281589557623555798199833852245900",
                "270419677903078739147747616813571091356",
                "68647296833349251617505443898327799058",
                "274633109715171884233755610541923659515",
                "308469699490881233135574593007323495396",
                "2951823813385147400548342138411629094",
                "116531530564782769848131284386654781669",
                "120195772733735854279449455967151553305",
                "151501322698586621103714923909709986986",
                "13502126094901340402692785800200735933",
                "215795895916789759204180031836574142126",
                "265136417670431509024683252077592365969",
                "219722794902622950329053059690053521398",
                "245707992071884570303497670624480306971",
                "231899861290388861269585943974706375994",
                "76928881691008215755891267069562422211",
                "73849145150721980398033784127193461368",
                "9074747180113875846003845531338403882",
                "330458389839273431157452818868010897633",
                "164751295898270724239138834041801530744",
                "327244820550365836220515797269825588651",
                "225155902615433235955175275872851923962",
                "251550614582864522324499136840237666242",
                "57764367824424185196902397477310349916",
                "100283905876572523491703210901965938997",
                "43583061342357737742958929220218612534",
                "179566612417188090659273954689505302644",
                "188209347748335374844012235294700909936",
                "187612649295171422608966297157584615377",
                "155706406710094172927335492821635746594",
                "152521063820534604110369846982048971455",
                "177925599613950650203748656376670653898",
                "23341397303288055566573815217153731427",
                "289167340316088433254916494857909377261",
                "208325541135323620640243417896530557635",
                "107994373352374749286778341171229499136",
                "185130538800158399009533842833032590636",
                "319770345200344504094022023895241129334",
                "155523235975638865939932891215733378499",
                "327802984776871112512052111703976042142",
                "28043635244016478840536516580590929164",
                "18517896243938789593689504194234057930",
                "313159816231901195680992411619997080281",
                "263436500437096144549675352594831127159",
                "126697748242042606487820140908015166003",
                "251797817144328371663834487889150147572",
                "190193924594595520324194136079990457270",
                "206787492406964466519342936148323768680",
                "143443634481120803510653763176386217561",
                "225576637523401973872138126188714701039",
                "253502167697514699001975803236015305061",
                "231925554268161402259848019990571797452",
                "168455221065969864181977930709622140050",
                "31324744037597223198072461101636923346",
                "248164959091129818945111611738825571343",
                "23125707558203915960340457187720736559",
                "245798092921471278363611046881330000318",
                "242961618867189801021523810630215343737",
                "108382096932652474432239368959586460798",
                "331949726912324037773822125852638644617",
                "201164039172115602237568428756231121937",
                "335272620318362485811540062716547894641",
                "29634035742098505770411690522998721110",
                "26557102058767361140052344049063769384",
                "319915079129739991447027532925793757339",
                "36012896354566047485489855056188387957",
                "206068213425985038195791705018432786446",
                "184031984383304108144935525161942321744",
                "234593489949847410658634513599059775059",
                "336929666655476220312687674506396270753",
                "86968969423456236267734614863967542169",
                "99184331469271505910545851899942570222",
                "168747075537784405621875706990113542785",
                "248044329430135263168728413598984912925",
                "33330668187860127294096447729653823870",
                "304715592877462791840421352492681695282",
                "112045862582518261102006555782099472743",
                "141038377281470882416640647951818309949",
                "36264395464443960210225223586529976633",
                "52939255402412029939933263072812426712",
                "82738796612650278722245702114793852292",
                "158182344757397028807181770653951759858",
                "48286786622576749043028734087566669671",
                "30752929582769021210145746829585435561",
                "53714334074152853460219571590993382171",
                "290543208530372065612158576601824247869",
                "291589609796417995765587301615512676191",
                "302728446335115526385025522775419317133",
                "331833417096844028387489127046520462953",
                "156177288931591168791994754697073299104",
                "194717447202057163434679353426029725392",
                "129605508808826700644334672935664138468",
                "225442015255226401649509380347857349695",
                "279579197559830994030771552885279233277",
                "228593352842799088081985898266386339716",
                "324647264476694430116801933456589232716",
                "212988832292109671150913247177098034372",
                "186788081438208774993533478548404872929",
                "45781828844365303936430216436237475412",
                "165490631025559989106431061039874475565",
                "166899070295243272963066953916036058578",
                "315863203520176912674084517416821299506",
                "124018340395558426312096005892537655820",
                "162952167732044887708375441013212493432",
                "285629963959631392097760964393356273601",
                "307940368271115256840096255962798569582",
                "84752625206313304680781306904618810151",
                "160575003240138781433043162863071699588",
                "312835186617648215415598532202780276020",
                "323006715048674039334677189510238599657",
                "15226763647271420689507756139607032806",
                "133478420022798679298662935333075378109",
                "59749061682291821051082860583577101908",
                "222105084701419813010013659821691664690",
                "58036451816157324695221144945834498221",
                "217344451601673285640332670831711469976",
                "172612712752759135946072056950776719488",
                "8599326979687569736705692274093373792",
                "150099599050622444890231315166148244751",
                "273352294784450008759344104580913282854",
                "276182821938392695037940875709546727510",
                "154306152867101247778416881665823255004",
                "118726575716928797097883875666683463650",
                "2489661346661382256946191554774017034",
                "252247254530597417117927613564201911658",
                "301259950948572462286274730127615084682",
                "215271190104511836239630087962375702240",
                "269963112139400052246531976393020349757",
                "207710927370619814375671628300502926689",
                "111176952776945520214646718770463856992",
                "137623903764410684906894163945326971190",
                "258184169923850839460561099106813811828",
                "282129337147715447982239605295379287108",
                "188883985407579962150582157237039564325",
                "129910332042305700445865833605059084612",
                "21087860562175357169410317783308978996",
                "178852220837335570880253554801736340397",
                "256567851947708620331491663287436354431",
                "254562765098323973841229665574629351347",
                "294570212977269123183472997507910321539",
                "36828433470708735354376283360514015877",
                "162105289678266975515401951039170184400",
                "138123201477594236259679889064558640321",
                "3002549321055286240145974399026571281",
                "9339312297831731396052019813531661464",
                "40420630251786787045483896333766005943",
                "78359856123669914039618798088746897324",
                "332112410771992879630539456011707977902",
                "268769238721182413651825808213224075681",
                "160468292878139777609412027020888209239",
                "77627578630978804741613092175691032560",
                "188677122209808149547984536782803983153",
                "322657192808995871402728064025572263002",
                "154578556892907387619747354417327077419",
                "251681201318145634239791436774775861107",
                "243228672848942409979047194479482140073",
                "152578288012931393299562140911472834043",
                "9824696859033417721879215556402744677",
                "229572028675176086032507093220673507408",
                "130402137993152255751634240069139659307",
                "295737394800184891826735425472831916246",
                "41143829166813150262775325445722916105",
                "137115251111271749738690763317472276768",
                "57802432418299407327224024411441541623",
                "272690258332303038595703981808003649170",
                "43034497094314927784023076526185280577",
                "143881567460152546291007030109116558314",
                "66757622244117316975500843471347505229",
                "149778207251807536386232678371279210948",
                "204929962629786669610943911374885044845",
                "190088082070030511625965242071069289714",
                "334231714014688230143223460291376054017",
                "55064467542336340293319303441155363060",
                "306640524703946226302487286028252403419",
                "271967256371891016956956134453615265035",
                "249077570540847480254059659464133241833",
                "68244110491946430881482950723623493003",
                "302788059668562442781297160160164535292",
                "312869479793048450458413034045046228647",
                "47238669174909585830198891489049845982",
                "255110056599442317288325788303177741758",
                "322127239920703563704649224467880925474",
                "78560033542743380420732182732723862613",
                "140450457907886691171270743535904240127",
                "186380816647525109215657203739642041801",
                "28716443811915234779323067046795622113",
                "266916496431717847316497699962628305973",
                "20899335079164970203175142716679844647",
                "282916860472360064121143773015755422745",
                "298032524196251355393568988056876128961",
                "164213458855591056366616681808541659304",
                "270584963263668077177585177450307322624",
                "174824446666330953548031460934499532097",
                "320732532419012416377803762617779653294",
                "243224708711182082646465146336500576202",
                "141509150578250118824147520108747765213",
                "72850934778219988604056882056859156063",
                "56830346444354697198715915442792889179",
                "141259824452614406606513380364059054210",
                "296061278197664072461777110878369437776",
                "247455847596236570091987392557210145368",
                "123228937861796507046666625827141270390",
                "48977162518518691297127243518839708725",
                "278705928596859834181919298314656086357",
                "331145991342244441732858697491503470870",
                "117657195583848072900309599602055976751",
                "104929306639262991510415018225872423232",
                "82434557666278492405073724109514116667",
                "37902464904492281315899467453060713485",
                "27860019048908461084373373123227841449",
                "177638052353656863569006574351177351519",
                "331597630484150205971670081385584046537",
                "311394527275824849328339192590704060822",
                "168008822456345939683618271395912912671",
                "156792294863005640467830161886237412563",
                "62850593870893499678628901652617251140",
                "330315715382315388623771611264641122075",
                "204764682246555748995739486868007518215",
                "154979481453839366185566600135154888957",
                "30714647277256894943403232723867135977",
                "45953305358531381541658623120710776331",
                "315089670368123697065648676051538965638",
                "309018345743570451804542828418543952813",
                "125185677846647392675898498583147541914",
                "141430854882779898516848038713520766453",
                "81832829555620442834482840837319419586",
                "84938448440754688077833982159469620012",
                "177076023120483956352039614085176228151",
                "163484735068366516737407618164692590055",
                "253746917910469571391359477754852190725",
                "328336128947968238835932053979826249100",
                "115286487589830480404605912154517201516",
                "138507806907616710388797502731758817594",
                "243836553645628035360605398216261491197",
                "210913853013263193596636840653414198316",
                "50839673821017070446164380666072505421",
                "82604886720624772920596684553542482836",
                "30089888623627854697326900445622233996",
                "64759371706457557787891894161296240344",
                "256052513331315410594531010151357753890",
                "299566173131227517974631371419604850081",
                "220962967998498093669546350514567213635",
                "150485018658635186011444413694015587577",
                "219647304101456506020714579537271108072",
                "73840305619193687956127431846324321780",
                "21560423598690718452498575169491292944",
                "172667388331007169246235850564761998009",
                "113847062614372035349893497751348858749",
                "25454157561804326144860571530478362125",
                "167423078456329752335400184360925839436",
                "266139287286141888119242802598960166890",
                "4578610567038044768070379904679021332",
                "325684481151293308811132552380504622054",
                "32094086217523879890389624683550773083",
                "71851995614638920050527162900464671490",
                "313390871255816922640177655473559565828",
                "301876191659082767537140625562826400644",
                "269370558221942842002422857865017932391",
                "248317407688915121819135642688431512397",
                "314856337224365432025753883372504409385",
                "248301659969313866701832238981118451726",
                "339840404315092017299043140000779978255",
                "60827372526837103668423466509026082882",
                "289127462758434580868847915992564686247",
                "153791232587955335154320357784087438233",
                "208534860958695521833883906143522352944",
                "251952990929913735786691607764903135600",
                "56264212319047600819847845773577216213",
                "230158721035935002097770587493052795906",
                "139556533035819189931635999609858739007",
                "247522880935497174231329398696288177162",
                "120723141959535148174708775070119333632",
                "295844540000920068142400551326326153531",
                "301189473313066447664768558152950357141",
                "90202843213576431304060757114838223002",
                "130196301430660792547802007039462665685",
                "279219607874517098895960716827387550680"
            ]
        },
        "id": "CVE-2025-52484-5893bce0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "233536650167118692086769823756081069119",
            "length": 896.0
        },
        "id": "CVE-2025-52484-58caff3c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREM"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "203474599729297824556603048744347358479",
            "length": 950.0
        },
        "id": "CVE-2025-52484-58d751e1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "309176029445487634854533751662592085981",
            "length": 7363.0
        },
        "id": "CVE-2025-52484-597503a1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInShort"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "276271724045071641743767664945140520347",
            "length": 2260.0
        },
        "id": "CVE-2025-52484-59915ad0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ECallHostReadWords"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "275463645498455086640187061657159838172",
                "110335982443680348162383370368376734664",
                "282008475263609908832230864360968920858",
                "184644565254566713194939431491796121715",
                "117877543870288244961687549137918354029",
                "274390501619003495307615360084531778322",
                "280207332485761499316295956909610253631",
                "225854147885282023738247462948982196115",
                "223249473034073967257477943076388055378",
                "151547386522712390614014092871655573870",
                "39447977021152070113857647154302586056",
                "298430944694546335411083955700754462068",
                "29782938712979825778950837410788710416",
                "62320457283900699843852738423213536632",
                "115663423376300190253926473770060493667",
                "221056717436380866684842329474123546207",
                "195208080165704337173420206148882801400",
                "328115731425591285196394224900979742440",
                "245643152897780805134527503220898409683",
                "9627445047279614892587166682517737763",
                "263766381401279162376946420523094505465",
                "150654789254236810158462165209305138345",
                "250305694444710403947955613282413504987",
                "49433099030875061977970840081032233984",
                "258772186724777317220583828287549226446",
                "116943154407788356356815863633485805798",
                "116182643410119359441202352953683145907",
                "90856562463420025790552527050802811563",
                "191840125558375048930183867590085277461",
                "179674314198439189705356363447326683692",
                "76619300289967025129897415288128782152",
                "197500389425323621297055970729022628641",
                "247797780693427063451218647587710353073",
                "238877793281363322276276109022830018435",
                "254080036027029769399814887516998593266",
                "62116331896652565689934568096220206636",
                "203645375905240234428009977788423785310",
                "103899960230582098268827809915910209820",
                "62064156119446268191712335260438666310",
                "189431070474619437264219436189357058652",
                "58462252991573742410654437555460959508",
                "20614399981708748852381657704600077300",
                "186054149016425767834553855637487895809",
                "125626921883591111212501312808101617324",
                "209023960600570981253299312738327390084",
                "285194782578800207516705397056633688947",
                "177461203711265174964719966068961638096",
                "75446976008942703695584576311610064951",
                "58609408253034924215256218937868133571",
                "326981077583929360782584453320562593063",
                "315550266751623944818614481705926639562",
                "1274943492848123626734528342932321392",
                "122401004700561602496791521002420942329",
                "80096004865272286225174279379971034663",
                "215643206549971276905787193124958082044",
                "199618392500644385676346429099550227759",
                "92867243853826166870704674211070104272",
                "127572830790169231193815564324178249584",
                "289402365560534016421817721553332925714",
                "52315669048192624001772206866311449829",
                "69547355859538994820444279436637158707",
                "93868542703940542371446151424828527544",
                "73094821339088313634178257224745466577",
                "83523876560878526656412124133008063749",
                "136153687723168095400880120569767995661",
                "103849662087083298786115428143146490003",
                "81877404822913540245900142588266825515",
                "286053727423694882075993730007633026478",
                "278711953348261417753891846451047843911",
                "187100409791582683640004054729815662292",
                "126357225226914389296735987341372410014",
                "70302335560416826148899815961064096265",
                "325544761540356783433909912698675554946",
                "50986025814556964372832309672312950865",
                "4852870096057309156048369726232007398",
                "64798309479480787370379535805339348847",
                "11128676411841272678873049290676392546",
                "194362754873585880912207972590332267627",
                "81539367824494612123020042870767524469",
                "279334065284026527120505272951899001487",
                "334627385547890426270858152439901978853",
                "87376126133403954271430907443811589271",
                "155044693903714299656775645834715602851",
                "126274949233652309461277252664614428816",
                "257179439226317009789116902061383163591",
                "91040590277001484018422104842593933144",
                "163291780086748359918402367440508219848",
                "66666920690013767210307289837971531816",
                "246092407008738048087563619040105991156",
                "251862325303633486747920971633933862620",
                "73513692658252314665853592061899232466",
                "97387035561244181482882242727949383440",
                "29877960165935017452623460415854528397",
                "217667115087726530631408522450664281793",
                "60361866139257538675916587653638872028",
                "150939550094247110809891703974449026274",
                "43026550203013205988126585061695755863",
                "228452694007901619703481946842260308860",
                "141761178055536759125103815857066481643",
                "22841962781351100697051077341693546396",
                "303522878267390679602700809039326295471",
                "308436974357572278221560763996161206124",
                "121725860338501151391129539637491629878",
                "60652328598921776908341259475522995363",
                "257182359606858607850872231496759471813",
                "276473950247664579991383166931660433734",
                "302225386246315030033628052512381004409",
                "184745386191793210583292003816761783290",
                "178973436312606459140609596289964298459",
                "16768590623312806355154305068990381502",
                "139046694633431112100359662879511730166",
                "213082302925665432726378329772946572556",
                "243678893619428751728173684250221620530",
                "324399798263452256321822561049968199087",
                "150469937907210149312834163358917334875",
                "160141385051762487401341215454068502057",
                "126059242254002229911215342271130691904",
                "84723038139119022234668018469032625341",
                "310288125082160342347065557760647953214",
                "240681812371157682730959310402308354994",
                "241609901467372545627298396366797494683",
                "197233856266149773062952734160103259061",
                "52652265013840841796392482780558072727",
                "12514377138506962665480518773146589312",
                "258757865131232517839705081784590490389",
                "214476112813917220139163505315887650124",
                "135408304950764728277630521047524927041",
                "277903418368979229482959202125778899332",
                "319032009207529235289357613739517135502",
                "304367628442560694695952622443860534066",
                "294262082745300835621598839357376915595",
                "133275561056069786552406306568487628365",
                "82739015857388679151336294380613362853",
                "322666414863851997975081223236596855995",
                "183838572815404965815192976792234212606",
                "125680887188370459035333719549108570087",
                "198225110844998179870847087097525938692",
                "254719578640670168587495141752947396356",
                "97140190687280828033138029942058417619",
                "56307784494097928641488165049922921675",
                "162071975288236937945839756892844395303",
                "202144666662406330357268534390063024714",
                "168756940920893620692950636501385407339",
                "238137968633643786897446013775601291961",
                "243733805898868926699770755741478738494",
                "105551258430922245129432059341006828149",
                "220779293181816805786695552708319390055",
                "170647791938928472966622126559802376737",
                "183406226410227947068953304738195016850",
                "224127364534794426330335367109159950763",
                "71993672842465407532060358987626614506",
                "145534433665346968577528592351725971876",
                "194301543023896148970056993701187839949",
                "149959651504192485750354034280053988852",
                "326355967801784644542015917068832055006",
                "47157313163243956016435502491120177665",
                "215124281218451415543415351308567642458",
                "320166587726015452972439519281987236141",
                "336171124299403435351903242500353334041",
                "142693329033360410391900179060929276035",
                "297225802770414928919920610409528849200",
                "175067083982868745394631219329004981352",
                "278417703514265954786042751847447941672",
                "143438404716460889940390587504812514184",
                "241454539740565117691115577193565959396",
                "196754067053610969888079627444843045982",
                "13827055129834924162243388967573568425",
                "185206351695995496337259953389787532358",
                "161222076691509120555493254213453984750",
                "274673197066945322895789173768472203895",
                "274664009743944775111251798747671420050",
                "41439452082860185885599266270800088462",
                "134508936786282733159667737634324386086",
                "9675842810540596324095200567538304736",
                "19860278914651859883664583740231872177",
                "188129670482801904995468366015909598590",
                "63650201861194307260347809884080503594",
                "215527759016184812792629036297342896666",
                "57270709773659873992724030743562724568",
                "55935530417573225727179090230498731524",
                "53231602312463941442539385729245103309",
                "182858267170128377745432080845517030481",
                "188574257918024468257612526632748694534",
                "289990698780196853810798368286380619196",
                "217617307354769834987468016813567617153",
                "62302412128110298462317000934399350041",
                "46892184928527928092392321328595773989",
                "268257105064162556597563988170393483047",
                "313331645664784459708568049069695130830",
                "331832903024700313557318279565465049821",
                "18541912048169741192887436876522647010",
                "313115888608688547411672571312954457356",
                "10628955667818354579920769693386364428",
                "135010612670900688951405152748137738746",
                "337181899734807572443416221292212881313",
                "192014546137308440157839546024701071892",
                "27435771263440269399798364657064870520",
                "225191601167585685340331397208822135919",
                "101389205196025134286074680701615920061",
                "175769028760913445309267136343926380643",
                "267607297173783164299729162482907444474",
                "286860457564659392616401515206512603282",
                "205760550922296252012609766212578459613",
                "157873733451434651568452843872762757939",
                "124166500990830462324286482859300046361",
                "2991144571243503757501687511228766678",
                "320718979678003754476366202749973050469",
                "122459307174855320598893879712608388989",
                "147381902528640662205577075911319080633",
                "329257904746353076812495035011843127818",
                "37390706339108481308197679191880570515",
                "62565718313980888613022175566128816528",
                "41157470368292180122162361006698530596",
                "280094401538947252372723914207426563940",
                "112745987962424474821671623610385983050",
                "109563622715600157522946811076825368737",
                "294382301645696952806614542872290470220",
                "146688170514659918103934874197098498838",
                "205750177561594706265916567148623254512",
                "304537072230559225588831128927996256949",
                "140486924211805510203619422663434106234",
                "101479619018456330833901168790778476187",
                "50048164400899483437125402211097406930",
                "168441914559733936754987655679219212291",
                "220650795787454604111969665597015871249",
                "248919102415050765079828155983933897883",
                "235283966026577342420509886894300432908",
                "100045983642830292374915044790886262723",
                "110164012470242379765206807669412496895",
                "104543446287089668116010259432880331251",
                "3579726751752369249529456250983572077",
                "34948575110401232422331914667338834348",
                "241330277428009915107359421753748642107",
                "108742471764159736745511479084097118207",
                "22241382844417513889219160855108231003",
                "254363992632598103598545335352024511907",
                "339945974724266366173041798073523699242",
                "13180750296707021608367511354331034642",
                "76897359269842979641054388465735559193",
                "134189284123244035055805588292949107786",
                "271927703659640018838778920845671769806",
                "126473923657412469589814018994597561389",
                "322069803656604139375918245955942688098",
                "82479862529048044589181526767239654220",
                "111980347202463256880901024893635022416",
                "302996730312031232526150955467129843401",
                "1204487096895568433150478908922914262",
                "200747735476771877635052906757741050038",
                "248043160517373431385272141556832814233",
                "262504661485214980299551218000425491441",
                "38435373152880942302735503063108634628",
                "339310371873852617224712763451417838285",
                "265389686236392684583077192532450728353",
                "317291265922347437662482572616079923274",
                "134602295081926125451561662096511121589",
                "106400037721891759573361932940911518647",
                "231611827018159991490824284830091093361",
                "327953749188369075766760396294832318519",
                "10089370699422094250767251403368843425",
                "69907458678635143501328066319436848928",
                "140025771177943771414284865825950967052",
                "30088365405923681407052530655724339626",
                "268407921431020147687814151129944757839",
                "241326217168625165887618322945717781026",
                "121955724558448928738835851002953142685",
                "129184801958204800883859025890824045272",
                "278197459591041730243281937033591935366",
                "26790462777316608521649830336449952253",
                "251112241496947689878259979744296319766",
                "286823570673376285385299642202778593183",
                "263566066015257170835575143344459619488",
                "122277419472603402814986052436111147246",
                "185509411858697161396875576329236965128",
                "219250542363808898773973364711337377210",
                "71183346063149167676499589539927006451",
                "172856281355428425374695686864234735004",
                "148803444489289024236747157272686929848",
                "169962121209312967548230922298267518412",
                "328953935904720672474333891083256345808",
                "94145830338573680611643348659680878238",
                "117465389610136967982171695609580914570",
                "127448957692836465832599234547724238748",
                "111633629177752616760413049994870258122",
                "85305532242441353969576746096602081799",
                "120019070914594204954050417742359348151",
                "149799480118136322465592428516961715342",
                "36238871569876733500438748382625548862",
                "119062639701224802483323761775878977843",
                "52194381512259304366102954024444440901",
                "197456210058726938018200373789312160701",
                "320626919677245905321391563570916754418",
                "13570428932681235063789422250905562026",
                "91250177623123336412632399614892601439",
                "207225661764681582862064165587876477872",
                "37248139143909453071667050270728813322",
                "253826957641357103056031485773885357212",
                "253759343506385084773523563653807548400",
                "180013926674275984639685421995764122240",
                "225325903455747065146139261517490484018",
                "115455901445501206074035448976776106426",
                "72331165920444700536449742013361077337",
                "320597113800260972915811100370900508845",
                "74297635401867920475400926215425706705",
                "195984335379231745779394446006272772630",
                "247836658491810098253500197980174839940",
                "267354246132196157254189599155617512647",
                "133013373320410497062138567389075801168",
                "239800248773035166766558926526719390804",
                "175002660420582093656005336144370726244",
                "60048453855257184426120317145569305669",
                "193419870946637525063890546321324233719",
                "104220113573164132352107595081946031035",
                "331553503544755199845552782474620102982",
                "113662248094369052478083334301750629094",
                "123502978025487539365467338984141453721",
                "43917197144519186103052658663696140175",
                "202097311787174671132103749203346389013",
                "285876316429722982159017812501569508573",
                "72526895722400616614420269975896195004",
                "267405220859862227962207654988526276994",
                "128153601421469145214180106899820731044",
                "291435463713674896098547079841867354184",
                "121779890201975369772292700855842031369",
                "154482721054415588238412925084013059862",
                "4672987730063787898174671184016670892",
                "76097598522814833780069997354754066636",
                "258472903268265247878104450258712216218",
                "289697891170015509057956326994910119383",
                "285898110868577524055574642847784368297",
                "97148707067828846726442499621890291022",
                "180031000380858347092833465770937931884",
                "172236863658865993927482123848939230860",
                "29130506938941050392694305647422025931",
                "259963429837594141656922939848088135647",
                "313434865317218571708171991945212285576",
                "187482368356667588242493760398046785149",
                "330049006605327671943294123427555112012",
                "338455713565578238643512994014039216246",
                "58871060491049411403728610831913412123",
                "137194769042763656735025361050728068670",
                "254411520150583034257020572130304665859",
                "175652834986512727521088524285994739293",
                "189021383313741005264215091483773570441",
                "45717744569366331026397888843859064400",
                "319874258422840345412161668537480170694",
                "80769517545757793872752179985549894355",
                "225179115456738365929865193168453916502",
                "302232145541884842591906766438988893682",
                "91664221572604793919123891516726216310",
                "92289900275757758334359344410121953271",
                "273134005630576350510830870373111212532",
                "160893612618419854385710774890788147206",
                "37274406617567916266583605636597266247",
                "236913705839377979851963005553770378305",
                "194086441612880806805294281353655978983",
                "190496190192378394306239379724597469700",
                "205257316390262253486263715588786841510",
                "95439211782751239770772295675063347229",
                "57604203475940667933387612256459767788",
                "136091522785277514522074499253083571609",
                "319778137869809462995234831754257289661",
                "215527785757017593200321542969475643833",
                "141275099958774759966175789380094678525",
                "181748477739905026515710830098303110206",
                "6181250687333983303459717091382730859",
                "200631081261646820405905729475422794828",
                "167443456287873682429709528335392675196",
                "61970956017127820905546088011391615177",
                "180297823091849916460946403861232979472",
                "245598785031510469703674983062244124472",
                "91522729476539929015800800791092189384",
                "210551179609464836245355291673309714175",
                "231275567458860572642038167476880327227",
                "30006421905751382224914391150977923436",
                "147353213761092339588021698464626154730",
                "85622856990421443292016978524771725593",
                "117348692031979222348095814495096328238",
                "155035223927183354998409921152583023842",
                "240267701267587518596715662538644464839",
                "252787705140789071465000006727684437415",
                "62879876265495728260635889762603047051",
                "105209985677094964553719724255572948496",
                "84998995300959026107318876945820927886",
                "113366208475862723691052521213221412366",
                "238524855017416741923672443621890931871",
                "122902534990607397241058990314326937014",
                "103656925418465944147823328372638728377",
                "161862308850051582678546237650913969974",
                "264691352582761468830026878493018979555",
                "113243965716484545268731608474013725074",
                "271779254927910259385810535885020671759",
                "192198068532070976500624660538485721376",
                "101490555253759183994219679792096135946",
                "64418967944965146014113643788519136871",
                "144637826001182955877547099385416217441",
                "286359218614904731401472338370776190177",
                "292107315487492180159955211848503644348",
                "175661935954081602153507208940827798427",
                "32298009219009706412923719279421366474",
                "55677222642147228870568812106970720743",
                "452734096633386513488819697810217800",
                "61952397401740997869218709539042291849",
                "213075540831345397217493576713891624082",
                "325590728772626555794528802133956680467",
                "41650170375373089349179386727159532513",
                "201345449472339493749971693855644993236",
                "243124657332421955849012188928698579637",
                "167726817458599763435308043425148811534",
                "282484073264619457438966390897758314310",
                "254664150009547124907843772048236864682",
                "120196161841645405176306404227661117177",
                "167577096754002713924004257551413446237",
                "84358627103586401883903336284178932036",
                "315046070946621087639459447100475866207",
                "126475683442995269734241902573802653702",
                "296770515847242258699539081357719377661",
                "7522547715894801038216820911713453472",
                "50991792885635187562097212540188859921",
                "224866396201090349391113328067083382700",
                "36713851672807079554749345367414113831",
                "169646389302006354690745124252261532601",
                "51415996534201634653445859209660114165",
                "207520525645457842683820735773245074070",
                "4869731922036799487850747194372711863",
                "42837268907617398559551472045810893864",
                "249601351044038924700169285427409380004",
                "131268959263869971725194946397016184381",
                "117382540187947357878329780364917249566",
                "62964157436664304943892573762345291283",
                "298908407201581525617579848203504717035",
                "120782468246569872711181072663312463715",
                "59077233514861676533098092065975143390",
                "226562948290643539731521902952668089716",
                "297452584686168930882419151083183662262",
                "33694009511146185072025720234917834149",
                "254234555694703255910130873313872864153",
                "185409165103318309598262740666067917964",
                "218266624214187699888692018301815564628",
                "246263405659669629160791814304445040341",
                "84917759867599558372467653434474161975",
                "54846246178320699962551978247208338397",
                "114842631577809151097237387995672702062",
                "216919510655363034267024275418481318940",
                "55528949244376356013038998229770331216",
                "121147403878931795662007469345772535698",
                "32387681539227115436736489223164834696",
                "278286528908066178418776874956649919990",
                "33763811131901955142625777597297855667",
                "137682234390021306014746439450541859165",
                "103123444756590881573841019231391879276",
                "300789762525124906007436030692801600452",
                "115485143147493373345620335337011926985",
                "257382278379529781226240071457912267879",
                "70132409635139085013649687582360757090",
                "280550415717022629371411460315734332121",
                "93849236758813086554340132761995440566",
                "120303714037493429880253174454955137327",
                "322433034789118651481930944162789241061",
                "92830291392362281690453779898316163524",
                "129321780220971205191400858552392010304",
                "75823784666774081463423123147644666292",
                "109994849609313705585260484696633272557",
                "263779936509600817120998341307608103575",
                "178560975812159827351869502004928773386",
                "6693340472072237764355391094592750774",
                "157592901088319948168812569648939154448",
                "180426603973527376035873461476561534014",
                "314770925571971843148412657246986669542",
                "304268281713591956785935572241264724657",
                "339469899497607842479602555201775134313",
                "184715549878704598099065100941329441559",
                "67763324004463466567035118494145763541",
                "53396747709457492290095612962715431139",
                "209217202222827380635145929400743275375",
                "126365742716251863211327018254192044526",
                "222043209024586078468948508162224997697",
                "332416988521873543555245024256047111605",
                "330504041046553696267450326227166349105",
                "298022477169393995299050261791673905175",
                "137420381123066788357520759189157567180",
                "128751553284407643398366947810641226429",
                "300518111563186636456236435353916025561",
                "56373006673697142640441110506026024773",
                "60922403810283799403842368564437215382",
                "32313668382917683844419207731631677888",
                "199565434526296864617804156139929271112",
                "48027293847239898443903897135216026302",
                "97220025443572410239953798037807243143",
                "34255143234466679338422731583899574171",
                "12849385985648404313050736055948306273",
                "248145479672261023027892372980686636750",
                "15037463724036847812645606402924048665",
                "74680274958208745997354504043755926575",
                "87356138455959354424117846303664783787",
                "256229177279208992521731819914093658306",
                "70913829687161820074416511270642524143",
                "37777502887506741669410210942504456077",
                "317214259169326069812617044566808263570",
                "94521579966032906192714925133545223760",
                "274826436593104529905935714735896648317",
                "201470292270390056228150749886094064408",
                "66643789878977498036775565735494619099",
                "180339130235633016123223024718659947684",
                "139469452583471572608497821143235814150",
                "163426887664683436458175142765410819134",
                "112628499446577050565540400851327542181",
                "28577501912610395245832787891251938837",
                "108999930164665835549309655425602070847",
                "295432007279363281943255276950830178657",
                "176020176529421414011791212939883522307",
                "270426081480288875992482977401842675871",
                "42723027525861445910179522391820008323",
                "167038630985354289777360939566057819973",
                "216180244667331318471515916026641280102",
                "306973776182819710034806269646784910370",
                "236022370435151845104187007997291197437",
                "265522224630896589230459324055916846577",
                "193515274604837110247430508437501227051",
                "178833739637774333970710708056615766626",
                "198182714994369440966472047890117652420",
                "249101771289364177609559934485145735083",
                "72490664055975469808901391251355981289",
                "51927509989507541197479863456091080336",
                "199731809501260180619931401645575859171",
                "98135574978395845088975117864186520596",
                "86996585757109944619942402517423259786",
                "97381717821959200318649725623629960952",
                "69186120919703135817755349894237357840",
                "247840098412398044237249611875986958060",
                "106961647121560601406493459968223753430",
                "83773964171020506549045271021760344437",
                "44287852129826748827925485395636154420",
                "263445448456824320923456068738310415761",
                "76171262582131111947269158584058707934",
                "50719587111539308121015822230854529351",
                "84287668869837547850117248592648782082",
                "304916601145977463728273856452599397913",
                "143440564857416961183688310511828884035",
                "29725130910859940548999449149826196888",
                "213239410334438658059319292967377701129",
                "254042021610187577426426139449536351293",
                "293128032706597661860178378196896303911",
                "103202332796445915582542290624699963577",
                "13359206539126738024709360053756979127",
                "234889109285039386330150020428225667561",
                "318672428600735416069148763749622015359",
                "169005497445613365915561922703642656860",
                "272966189753376108311644902351615531153",
                "236797854441364917125593663624654860784",
                "77058601277542238917257940907049351804",
                "163155293901150832147295585918538470546",
                "99872510773857967432845290410397622374",
                "101116155202626321205340742456587252436",
                "63346026206041872980211541058890905711",
                "81022967644408430436583261140054571597",
                "97300708307688161408737145212269635708",
                "263900522501830208428009814307722662484",
                "267656558632044989883069083875023944455",
                "102093905767420284798573158232302188539",
                "161706288212760946332253678086073020045",
                "188891115598977253943341943474337322004",
                "106847236958969652438991627207764500667",
                "209750127635435055774291097323914167518",
                "186518221051753554561682295329183447864",
                "11179667025593109646987604983801843887",
                "288803780297668116312708731058611124421",
                "218457201119687792280746751251864011825",
                "161304233573087022353755520062885409141",
                "243295564281213399331286476792328029248",
                "313887301045604203311167845575844780449",
                "281565927898845272194632384924280311472",
                "135992372205786782522318862299819143034",
                "188966432585533734808008215223758122143",
                "6261285360796304195320700434793538954",
                "16631019863519552770664262754278112495",
                "140887976200791968236308561493787296527",
                "244403519539588743970487728938750284260",
                "153660834130096356367537873103137886128",
                "174444686998940000554699737374990404146",
                "228075408321887193089279578859130059101",
                "309673058402017540958323612955200818655",
                "281064865266421062727220591849635307939",
                "222984569908679322792729081252759993470",
                "46157630711393419584735980033639698787",
                "274162503551600300867668442771929542682",
                "210143090986728601369828828018135959323",
                "158339028569157556012781921932291062838",
                "53470019326760967591008815227574597355",
                "247068059383663112015504764499466815941",
                "332157426894449704257857858833635455156",
                "68492735095272839814904839810855707821",
                "241373956873344156377549284676514967740",
                "8990771201225458345895867724756441385",
                "38841574607775763682376189241043814523",
                "207979305236831688829446708054479884331",
                "293129268650151503496504844518149843370",
                "274283893273931437683442016163072848994",
                "19747878361258795340238727686438352952",
                "207477485217560959357169359224724680180",
                "106350169499262682065250922119116614156",
                "45940105053178988832626102092042481249",
                "160699981649979225216313883289017855548",
                "201665705734429506627796824093313187331",
                "67803126665309059706782524364524578262",
                "245242684249174244750304995425221895716",
                "216691047189567039055881481546574487224",
                "338345018060730608551141849240842798178",
                "268157961502231455439189041484998233989",
                "188693041596658776859657938825799578929",
                "24675643030862676366333654031148428519",
                "58212371257516365647179458369115531794",
                "296544863748156411829267974513380867580",
                "230100300311347297813230424618198615379",
                "211712785052615354410832683650901056878",
                "102460496905211590318282904390025392800",
                "82153962312212270001529592441499579283",
                "120536085314406930933799354822437024273",
                "231607102278737667633223096607406917373",
                "78594608581905009881973162156172505658",
                "163746811972814340563055802868179267695",
                "139932925990404352201021713486140444942",
                "251127446722805516661284880876082203944",
                "318912718828173280794869586867827108759",
                "139112810561815659470561877464854083573",
                "194147963039749431421161969379864291718",
                "116769302883152214264910895780550623490",
                "138408800704134283007392210885701091061",
                "69392659848131747695408950304138310927",
                "243724905101818586749417295880289891130",
                "225380217230422999945130926578003824981",
                "285936233574583572361775267458026253296",
                "192510575960682544948602601716691192977",
                "180185491217148486169473694015019212323",
                "262408072613263579148050962501126680504",
                "18052044214633587048827288210874172569",
                "60679039775093340121370935849922773343",
                "171638194220097373823812638203138426960",
                "96762363556951607043963170683718340949",
                "123234829403207246229681798360036205923",
                "7848180496696929886221538019277888358",
                "122516510067940170281088418535737653883",
                "148971565357463962680528443804597203120",
                "278705987737603226216603184720143137530",
                "167089700123624586885154842790542690306",
                "3453066494060821267317827056386658455",
                "105616739212628395791526439330051881262",
                "336499075187951574670140004176033343896",
                "122790102669705600139014758511100244119",
                "149406369078432743352814897260624762796",
                "173059183688409165201359934665260318742",
                "151975268751365415575550765377187672452",
                "17084456201855313992398783784755582260",
                "327640974193595902040908855873496684481",
                "61402082624759256603580424561390124582",
                "213010400089024841918574940245864838917",
                "17872183073685300301778897990593983509",
                "23716256681806899941641478275282445211",
                "142093993159053823955372208550548271651",
                "288783140132765270226637150804376171896",
                "47435830046435682196616588792575219674",
                "331554819084483200521964917783079677485",
                "76539511203282037747380276101073729067",
                "199910461779288233696124078600030700397",
                "195753763072614187622161059118277882721",
                "261672172280683420772489929981655715897",
                "119052142960986579454699554632888436234",
                "201106541609266806210524032702375509714",
                "74331598730084252843494463012487344861",
                "20689789415420246379939628571266122127",
                "88450975437742201159574298571289397464",
                "80968583390943630453212727962384806700",
                "168873858330526844973712386005469253955",
                "5129305357336370966228868839293776395",
                "9323452901110950130028172827030147116",
                "69860297792461305408183459405456268524",
                "281067779369123724970191607027549290149",
                "74233843080073230808983253446293900798",
                "176617193840447663306491325025022106524",
                "136184385654747815766809967408103179353",
                "91831183996635526149755139847804538836",
                "91666150404360595213487625183413280441",
                "256457141641772037241330149816914656932",
                "241442462673292501233677387114166959409",
                "329083406033359051786417543513143378240",
                "176397079063083837393173434807603560000",
                "181113474187763248477656902687763322398",
                "317684617710839655620191715619980835771",
                "233568428925020099501829770594837576191",
                "103460596525990323494441665227870511164",
                "229466310695991930878955771443727194970",
                "133087917038202504831635116962279701074",
                "46927864988571663379012998601889689077",
                "184694938974338033693504708205220479005",
                "102183092405061666572083597781580229941",
                "103963350877112626923007441783946428533",
                "57752470883674637342012048521887925316",
                "2729817551315572504456894500668908364",
                "255646869931179120144184148019103448947",
                "131748574413035325232243701753448451508",
                "204276202353103379355369303749244927681",
                "209585439777189331495053763133967249024",
                "78070171678854038629440254100921119806",
                "56109277539008486552158370422973583093",
                "71888643085581804446377069742160239627",
                "61885063175054886932240675355109951410",
                "322573781309141892333423382559606081381",
                "108539376354231898851246556126219782691",
                "186907433074732861087720218555722218949",
                "103751048754349904843350870796053675257",
                "92972459428890165639165926450319861115",
                "157900522532667437207481011310185460025",
                "266472305884916639575630203020949850185",
                "293154263803745994279524506991568757384",
                "220123517120656037542450025387993962336",
                "300948738010291805298727864723186162011",
                "92653634982843583363795097861801506517",
                "193994097260736827498798107386668950895",
                "80510208396628560242653431100012402045",
                "22004370397577435413593588750579630491",
                "116951145302112666763516079033878420861",
                "113416444883610444433740392781050346610",
                "215741035312699401994738875027721250661",
                "95603341672586537631902567909186394669",
                "53359575898601481280751608905522880410",
                "324634569996654164455650139632577236173",
                "258157615473185240306106424858626923076",
                "270240607738296995559561599324394948902",
                "148571451995396168755594128704960167507",
                "235074123676977989873361501944166025535",
                "248668721559065856224592741902461295195",
                "328197315220936575511022686398824401371",
                "292502141430372319696943613522948824045",
                "77232131806874970128662834125341733680",
                "187935148120555364402863497909237519837",
                "242248224861056313635862139099231971657",
                "315296402363131291733306867566519176726",
                "92041038358077958770394941021580003372",
                "107809073506602420498725454824527289238",
                "150083391972731715306932329857835791494",
                "105989018718521734028790700847792162464",
                "152148890504287308872414102392198759964",
                "240483785366426248623568108458929833393",
                "67128129106597291813408397482483906252",
                "283760288483519351903282099555694401836",
                "26130655463325815219753751106771369567",
                "96467097364267137994336459960819342883",
                "87702417198953727504656102578807120488",
                "121415799924539007848838896174825062091",
                "190632167564949215943045384809015989127",
                "261504499624614290301179660881976116620",
                "209761043976465317769975404995581441839",
                "78303228234894728854033259463113122297",
                "255514263934910225657166412958708367814",
                "298796240344223104644847241389484339780",
                "107430452935731841442174569305358403331",
                "41589886930758413957822885848726161503",
                "222862932655628749861928809582529324545",
                "248936537816478524986702436950434159508",
                "282175077410156849365775824578974002050",
                "107371728211264894866242873566631262534",
                "91929520216273715598097156210368156299",
                "102852314494402070845672167948190145733",
                "229047901535519742371875967080418684678",
                "102251137644263990974655508427198626355",
                "323450733708382667710472936069619521317",
                "50049539958343816989944152994642600627",
                "230571343801185353045969225021663196217",
                "229462705372639722526243207539365967446",
                "248923730680812152251626378714582533894",
                "62587407379093537911282725632843323031",
                "112575968038298854942913680239226614374",
                "57762488300218865181335036478374843845",
                "323692760915908272703892620661025143403",
                "293427629883017951067917540032921862097",
                "26253959903924594474982653178285673896",
                "282400080234390466006204564245988372475",
                "268597559987544767942830627324954870470",
                "179688630475507731246935972819857052671",
                "19040170224395334679051705684819762648",
                "187312080912448206498741239127754744049",
                "154769231291229286736987858861603796894",
                "131112882208797738645078319700925762365",
                "42283206307368642124731850464765682053",
                "227165686510149064667714753784417218663",
                "310462185452850979489206376841733538908",
                "149216884075930912509743420085807470823",
                "16857247474382541943790117745304593533",
                "109251366964988195779542271739406960059",
                "159948293018911747685211884089059222259",
                "57514249943210759108382604196931301598",
                "41394373672446855423192904078927018679",
                "145382457663047504920658639530404393818",
                "187621870068185215924355248023189488042",
                "86770387075893893608174969685675103189",
                "35506406191073776178173867663601966407",
                "139775186732630787759257547168995293346",
                "291433516774765234791854345383392493326",
                "221732987628581283751331794880834704458",
                "149483095377690037433471069329301907951",
                "19693553397120555392667796296418087490",
                "214559342537605315337826774785778594409",
                "114529525444723335362741928361995139265",
                "159387823732153391921280337406308208862",
                "177616139949459428133059609815574831247",
                "35736172456338463315015219029829083657",
                "68545505133792474005043421703176967307",
                "105564848691929870846875685698652488507",
                "125007318355721499255457565955100544474",
                "254798162368874202336340181353878171269",
                "178459813674747315962111983825797162358",
                "236929095343226590735943486301369956173",
                "85931846475707481928346614618500819975",
                "176000578249018968524538965448895514591",
                "121126106641425965768773438532718714150",
                "275293028363060208289983574609048336927",
                "241820503095811899778577970827604121741",
                "273610558315830335792345883912212742928",
                "4630907067411781881454279594366035517",
                "20275259072279703211318925029209358910",
                "195546502620953961878164847280741287142",
                "184979491996446952580503197070753319350",
                "6942249258587200008485359521896790147",
                "276676623440417352725461681418742276449",
                "185011140537667125439512949203204305682",
                "227332275203373789906955249003127155187",
                "50317233781559440493150445332740575361",
                "59742636064382707628198350361860682418",
                "203669900523828569705709464463401859773",
                "274980241621829259030014128301651597547",
                "243776267385173329210334340524765956889",
                "132777806154138648350583154006206370917",
                "200323358806862315732261025634300271354",
                "268108987729777059454535926153502790804",
                "209376513387589826480291994969821058801",
                "203081414014224687517224372127513612121",
                "314414929629960360520078123782470058411",
                "245811561227625100349731617699666141225",
                "104087163529093824141728346369711073774",
                "278627423667318887835169303121050968894",
                "303605485920908042778522674481539047203",
                "244152300436973168900920489915196418030",
                "99591926634946629709667170740765150940",
                "329588722698163968089768477952977733890",
                "136171601859473899368851638569664318603",
                "1145327621014291502272856474650937239",
                "250256347093242260991912923612807735333",
                "47589950303408555744979221849741708382",
                "182340827463241272395556553721779024502",
                "134896679256937429924494531631520369310",
                "31014182756838801684853216108456610490",
                "181721612610290780455130869967523956561",
                "129623535942762038858521228275393719234",
                "320243990674000254026393681272487864703",
                "145938787732763370052916802837504939481",
                "62628625038481029954636314341805865201",
                "196115814497859007557084293235734273665",
                "94055117310248385968862113513112904193",
                "146687823097009362005440975713567258338",
                "25150155517599009627898516815676289186",
                "259590151763386333917691544334051883137",
                "336262235119366236881669652833359772583",
                "179758092433206674704877882169956593450",
                "272384696285221223935820686175944563489",
                "30829649519201206180761065451151431383",
                "175475741290464196441704778262118393070",
                "289852892907902724930620753475925916846",
                "286949052049177642341922318008037396651",
                "243161027850562490867387475150655983340",
                "58304735466747986277397166977877266275",
                "157025231097829788823494300903603941191",
                "137562114295609475805376549144727902440",
                "117502079610987380655802007887996549749",
                "32989851383797547574205355124930545007",
                "165781405332594713808529180430378660552",
                "239216490325939746733046046238647340814",
                "43803909265414453229510498464784575426",
                "7068864558202176834346894470352220951",
                "198036652764845231704387911098198201460",
                "1581882277166728244768287671939949332",
                "205238178292311607258160074994149452633",
                "269294092058967696871521780407447017602",
                "75218649094354318891422640959285658669",
                "23803738256713801457049151469643168512",
                "105521037916453252677902005586584573873",
                "41507095593990026359200963185605220848",
                "94003374656784615455841430693677265125",
                "124280365861825991027434857728378895865",
                "61301484905649512774944130617563563927",
                "146097639530682489032607462911337033734",
                "160890816138833667247841179770809123242",
                "263943333877492108699070560675677713134",
                "182430116436487234918667778719189693445",
                "112489832078429861420956323711843618150",
                "306117617952751806292412961378949587939",
                "299586894739348192210995463377430626308",
                "261939170636606926563093145087474861689",
                "129968683366218830352552369016254928687",
                "233111154915134772666477787406165713030",
                "183385628057760489100355239580538813576",
                "29854642422640979828042884269052429999",
                "96318725130629802236924821139739282823",
                "188880296226503741589477454548561953975",
                "298792749513201710811121281856875895941",
                "50349598237889014696289124301469761966",
                "72182776364785354338492322836633874793",
                "19702156183337945354109581083836330055",
                "260802587163871487282707356851801453295",
                "22639999190985002799801955742030692178",
                "188643901495770528815784098531288267882",
                "172824703690820763162129170327163894173",
                "130486430559981333061751085495619676055",
                "131814597428325033001111174282098780389",
                "238241423455717673113025405744575037964",
                "275521663795162028313260772480855667048",
                "271958829822478090328261923104952170300",
                "144540295474132157538462814549699319391",
                "25985461429068699941804141611646944094",
                "181133673500675914997811444803601061631",
                "72978083868300205811863306517329315437",
                "75692895832065688787087044769549435423",
                "251605033526908553335688145183572876769",
                "185630944013799241201525625291322878851",
                "214658050782561631634645711367673758875",
                "277592044488440704269821337705163420082",
                "339060249097585209370859545292637341755",
                "296062199664160096225288672162025335086",
                "177585079242492969464839779850032841518",
                "7996255221359257101985790543338897643",
                "232334318600396127926806914218927331829",
                "233337732695523341311832726268330390789",
                "237696461751317921676019978043053487827",
                "46200667604358144728527845384021137506",
                "248123933855137746412350516535862190253",
                "50991062306432111194014028918517770459",
                "167013222342304000601860861222372886298",
                "284827319794445123388989060926018962826",
                "107937515583142374290663780512678450373",
                "7946962548586719954845256903098164289",
                "189990800269422072761379318702507280398",
                "173701697008373615326013989147029856745",
                "177697801207462152345917571301590176214",
                "174170307837913618000235452082192802016",
                "245323895991465105766696957775097479016",
                "148054489865511531779881075752054278134",
                "276578678391719037707681785628262143653",
                "243127937786328501545871633012655242799",
                "154175971345570819961522323659509519017",
                "88675500307190537091632073543795952687",
                "98949763694540320453056770337637221129",
                "190806942652339816537085554533836961137",
                "75724990612543959446713690272211659601",
                "45667060123134098776668706141605681488",
                "178459846912832559940248287496548350794",
                "153888281241446667883138996223522905750",
                "84230805577052917980825193356129433293",
                "313744639821638901566273828732114432400",
                "95196954343904385652132450825933602710",
                "241499761189531592283291338326478070949",
                "261013547098346111390768003221401510209",
                "204285700066063139223223638648367834969",
                "48611534706350990203618040343854040404",
                "112127918825885931046931252007948335850",
                "119491347872981158454958623720474870887",
                "308133065272905535779085352210001992730",
                "331679929746489589835658162825330599125",
                "263377168139738831436415570305381803490",
                "271469051822749647290674078019464382583",
                "29688111850450961360787645418389445101",
                "293808783528083730672607520614091414865",
                "81023480826894523429408825722213849498",
                "152706045755032604737648578072412848599",
                "108868340709365903497629801095848223725",
                "326773878718498114368316143236103771590",
                "261464655272771303379386557472042755681",
                "54812845126902851170769418339668917943",
                "131230810103935326500160030328009442564",
                "262563219947326554448239519042653397020",
                "322417545584697333394300944211984947448",
                "94314662660591137159229928890732167582",
                "225531413070272027484024424573044392551",
                "114889323426113374910828794074461184176",
                "307441068599227386869986533775226651218",
                "99108155653062666071881369352867400401",
                "192340211175213751649973134762665084498",
                "158588861643715374125986420445593183669",
                "8783748144970103349496035349137176962",
                "279966758202581543589649743615270538252",
                "224757123667323642537455684337477472474",
                "9665741591115827201808468167607576186",
                "41721801013858489005000062279859373024",
                "118927546586800446226973063300803664657",
                "178298767036400831012292117735066657313",
                "151184824423227373494245182249373060344",
                "236256625699361206262504545490421935589",
                "51063095101721285457928572332602721241",
                "102271980902129335650449441789799938545",
                "139902084839388664819894300442672827653",
                "42135943937337123247034420482344152995",
                "199437317006117465616036379147520805558",
                "321803445542025297227484383479273546493",
                "303691713986029981953743225196624019212",
                "276235349967393673617545069971418263369",
                "270479308556950821328479271733491820940",
                "167980190012241437311739782484952709668",
                "288736986076092543455994920184533692412",
                "240729382721534506803492574206289910189",
                "258655624197267970176711988732245539786",
                "114861644531753454377815164879147627729",
                "116476385898819305124177831207671403102",
                "236400833122608444948002006144242175696",
                "273090728129078690532586397864839424819",
                "92834561274526227071877378394535772163",
                "147956829438987059401368468956952458839",
                "278205398799348543452167415848440545600",
                "94808499183897069467640861181562979943",
                "84516973404246447334441081826963772985",
                "116110706882949896290704057824295287453",
                "91112907110107475484591649503675425525",
                "193362500397618100113311698280491919754",
                "132103554852851900689530501788672995008",
                "281018907738734035179625635670598403832",
                "82459864313953570682850299576625970362",
                "79143216713751837361536799535326406046",
                "229284990960362785025457380667269146352",
                "192773040629217940305984057478664457506",
                "331580675579561655928521171853684419698",
                "30678620774617943827901572061522899098",
                "266387353698569812790582442866696412854",
                "102893051736367917760290458918023878034",
                "146554224875678124361019362257080489422",
                "312909027243537402943856574683611816754",
                "197927262741044252932398203140629908387",
                "337118279957471356683466515012637190888",
                "161377683003693843351841286316864171079",
                "83616301265950712760395785271256749538",
                "188784635298884802420764735891183151299",
                "209617870139713322562428521733371164678",
                "46739977322363724403400979968427460328",
                "145089867790853718423757945490820621771",
                "304967150721718534279040976279905566187",
                "226134703531713152469370962302780064226",
                "163422967884030326722759957893636299930",
                "29354723348156255045013971330840282323",
                "76518221005690377583841591307724012186",
                "31783755823489147414292290059607190342",
                "281913913217848591166267871708658775711",
                "206860649282356275997752624777089528793",
                "277849591473471217582463894101605512954",
                "205458152514721082826957394371175567297",
                "188487303043707231577972553247097393221",
                "33068033649085741072633028529931482912",
                "40526575456930922049945188263785922758",
                "74540146140329611409426751250183110940",
                "43009051123975281022318701452391416310",
                "130633653243657745840859142204856451675",
                "131958990662886874637541715795178267483",
                "170004359568014950824329413769849167759",
                "163364323859950297089362489389155766080",
                "248094284147264442499124588268206790049",
                "320899645255321175468556605259682568504",
                "230340201663173050349057873363901413396",
                "167721809559153656491155947381511783506",
                "42386241448866844073062284285445783613",
                "47112476310814828100885273019779944459",
                "291072075194877408382799879624818804697",
                "255148676346477453292809229329592253769",
                "322579243817779754867741975335611178151",
                "113360741207886366715597205443654713120",
                "86122269685753550278161181219114786142",
                "50255668909622425157062614695776894037",
                "160158671291550449514869430656446704944",
                "64398140405180173664727018857997496377",
                "129123836536881555212119261785105574745",
                "269521396408986756989415423912349054269",
                "274682828395523675083703255714788164501",
                "220035922426034834569915146219121227342",
                "335753443124540434525819002952693424924",
                "283546891980650211490185099018737934672",
                "28183583526153929007788553130695680948",
                "255666430953601412708069719466767468471",
                "230771634377297461273168477564024425791",
                "260612692627447181401326244500240931203",
                "27117121236659266462381272384318478394",
                "230640839129591318735240559105576429467",
                "313639474036213901406425279761853246923",
                "329091890853046614768129046898109220024",
                "65686811537642229826900479181587778589",
                "292354039519718642287315926913405153656",
                "290248701787177222400408332849661766064",
                "61409930363465642302377028894008687469",
                "118697120261303844889138888455167547302",
                "165984243165048757579866257441555433624",
                "181617613651485135257123978475820969512",
                "27192170634192485668883456964488060741",
                "65688506275607492935390091542281803025",
                "294942305214035739452045885950467366191",
                "77557309975525176645869647511553621350",
                "186954399121270498952469255988636326089",
                "229199487766330865211577608956367623268",
                "230655831476700165545644329274413822012",
                "72459381421189376860679525860291700371",
                "157528995253702276390305004449930692314",
                "125186523564811937268976572253427995224",
                "174135816398555220301334885050015732654",
                "38412861037904432348312748857618137603",
                "132906702890958130690530755646332626056",
                "8176552266550710449841799199691391709",
                "262643820110830662090836044888479059915",
                "295166283367476741668336068036244511073",
                "189567828392340263550807306084244097020",
                "176391331918397590361851389561520669895",
                "308047353694924587011128269297221426586",
                "217149174472758681150936651646374222118",
                "105312100608305229855006138986178196412",
                "338011645420855540240332590026105909701",
                "42435330202531776930003973798646350339",
                "70309586497431775961418359858618945053",
                "285699153235183140864739958722375221103",
                "101312521977548721717929683872437835730",
                "283560708009556474253866558147393222901",
                "167908869357860825601517305519037551139",
                "176812095932461537311574506281688146174",
                "326729309014828753623607108065053847111",
                "283898206174220513514096061220546513387",
                "35486603841353692297596150011941030007",
                "272126791859521372960204182200552956209",
                "93636898660352100674534775961429362215",
                "16957495223148458353854655899622412146",
                "316712645109647079290079796992434369148",
                "105513714344542375834391203053972572422",
                "102093698797960337570622089416322824646",
                "61437873614605756743570967384424619592",
                "78896649060125652178362374032830760836",
                "172203664688528318556897366370611862776",
                "171501721715794624638628094972768701711",
                "255895535731197807300040708305357048476",
                "128358886953016378915024086027750895162",
                "129832869956065459841557902613150799509",
                "102051420068724790992765047278425565106",
                "31509893013311909279354940672941437315",
                "76792972338719521917038202268483696572",
                "296230033809906133468264170595883956404",
                "327753534120205164788901137687521906280",
                "310277952877204343472597593668409212354",
                "163220351719403483829513483523644644150",
                "322487383823280923779870687752806013524",
                "171191509059365320026024076629645404200",
                "62227629634056094150255185226931529799",
                "54785342680568937314103925438896013614",
                "116581346421801496915116861371185157172",
                "180694492209680236296098823919494521738",
                "36196328580073192619944451687369133057",
                "42578045138681965023744962447611820915",
                "27782626799017961671030960979391133488",
                "198066648785559753913402956497787637155",
                "92798679441288489768171800270218749131",
                "203545827413656750470762490500040777751",
                "283654811220495249482452011570532309993",
                "27752501498331164641374691372674763709",
                "60045372820312969043142027898048393277",
                "170796982033568851524239097487068207462",
                "95120990764702931451625460384428458507",
                "72804035064278116953312167798132102494",
                "75638030037415743023844848680706434233",
                "75734574585815840132823005409506132583",
                "138929614426489510001225734518472715880",
                "174266375297151742264389729956522523792",
                "165244464045220419307108259976507932411",
                "174568294011126619687503640126881234116",
                "116466283993892333242662869463935852079",
                "249028560599169390280325332518135938812",
                "177871086519177151044323422178739648646",
                "285142085144240075244067233658596574455",
                "156260298501378838747182275223702762821",
                "312478378324063995117247513339470790256",
                "4626494145915707247937187304111980463",
                "291972779734192611501792146236597725057",
                "38182659171825368440499300303464779111",
                "227350133313074650541797521992227918656",
                "115599004954015027822038049652049798841",
                "39602151496856883080471705567976788694",
                "234783277641032845258462110961552684854",
                "149245904692768646953988492051314052767",
                "14993176794085704040113277346367743266",
                "112231226672630797896788891070762987093",
                "272852165612035748605320679660687955700",
                "294324265074899816645234666520018450977",
                "119426605561609691969299716364011332370",
                "5193053776561843450120347270895849177",
                "333817837985304338957000699293677520795",
                "286419064583288560126567473542315901696",
                "319518376346998875376773238173053350202",
                "310528047995755109774618978303006907238",
                "337993294941956660690021868066737738994",
                "54809142262130261227508730969828197426",
                "187924514502303341082904876162165235641",
                "292046608517852952369878062989860514600",
                "68436107083337328066347585632719360009",
                "129662187394410139044194562583201026414",
                "311491780443583915996196613668142762388",
                "22203727484021777939141843092551874421",
                "339933106661286333554605482668465217614",
                "120754153088105161843156862690932889225",
                "245737774294919575425147195716074782794",
                "148753101611831285048311248062460677861",
                "130099187208425793378054800346682984367",
                "161892654916735440402515906539246509485",
                "176382115745115408407732764341143224890",
                "34682817996236955108631289928534814125",
                "165061549921292157914523270139543503367",
                "296102553668351052776249226948082012159",
                "94396541788220475343639911307511397393",
                "95125320780846555017038310002530368748",
                "114189700558707295837591280175552045752",
                "84671885131875051495965912177229008219",
                "321906984494047734146697464312034622711",
                "287402974767814781075732293226015572920",
                "124119329179313733300191695253708687547",
                "176222051573539837659711823728357534783",
                "301668118832957733026430027263358592989",
                "326307300410704578863826689493950158068",
                "44937081882599984597852364279648211138",
                "304657059861734774970918457677180694395",
                "234756806398007515741267854326468121907",
                "89341865313829641543629294479239788281",
                "179777247269609913249908406744583591810",
                "318962243387154686154593790685295986984",
                "27904636297331763554488110315140027948",
                "117096838696473103707190326791793084307",
                "143091805552620083689853153314214535046",
                "266431219826374784290563658077711984863",
                "129240690792950376703951969121303495435",
                "3500907600991702568857772461923036964",
                "146720667883321399268742884517759962776",
                "310381668616784950477194370682755027005",
                "26963431398769260738714152138966645305",
                "52793958957757067498753691637550623106",
                "35629474110649212159734961257246318864",
                "253020158504967143632063898165154158126",
                "29844765323669206921368648288753676249",
                "164297906298768333561838144661069360341",
                "322840584954022115918421846102584607567",
                "288231595085791564577682201175548089387",
                "182822177180815504580573141116156421807",
                "240521703160030592880882469191395362965",
                "316665341289849397621544242941472745570",
                "245919754909811625950994780856314862282",
                "279813615894793066106400577744923756665",
                "158420892608741098872473906438761702020",
                "245001634328799392420820410556415027737",
                "140359917652901984205092738152344386422",
                "247475371138568667731555941639476249936",
                "45872241366537913474792218480420382365",
                "61145976675783849465106865637156650959",
                "34491355305390316891149376983762650713",
                "108961015187190721718716666558308182376",
                "129653287766124520221525060521890955716",
                "114957177035784552055146185985817307920",
                "228581428832274612845977894013749240639",
                "59097162406039958116076656813083988939",
                "32939473519359916032474724357152114975",
                "221634572170699294739465082113488095696",
                "178228019013064805440642690060627033464",
                "58554250641912718037925594666832378821",
                "238716362817345132755355832965647030383",
                "40829460504770632764749650280650605358",
                "13515010915497701637135751436937821179",
                "284111125284839476727041132147080162060",
                "230251857738652252769890126316440106419",
                "278211110515136604267556010228320474361",
                "58646201423603684334298968966952004568",
                "162724244690005269174728219724516813875",
                "216234700052351679186735958769190325250",
                "140323251282529074140540791842475873673",
                "152041112657103716916708158036521709806",
                "103386690138959346323373915754767935466",
                "169150585327055869417983321902594784236",
                "320141668615229740080730758739625047601",
                "65165984596130396371373742107748026153",
                "80060493040422047292492615072420121801",
                "162346489169950943375903509812048565574",
                "62173188333391987693775506691902994902",
                "79849362411020548876943490528714167726",
                "65713735861967108630571998312666947912",
                "195462741668942893748843703297848005145",
                "93745849429155348512203580738077277303",
                "274729174320870001745844799358817605041",
                "46537263281305989832607349687317171726",
                "130441265693633567442468542395057101413",
                "130329714851349460727253357242400614671",
                "89298030802624202435331763307662197925",
                "316830485360579584184961432864553417982",
                "260247567188798630330258323194848996235",
                "45113724553329579856937070357268862946",
                "258574761171149766060162020072654297991",
                "314460325956880249978222595029843338677",
                "208200391006287187954595049477950911226",
                "258410093307487598107545813085346697295",
                "192192081145797912346099307890825482022",
                "28841129202860522919228974719597090139",
                "316137361249526222209785927893853717041",
                "95211191979976918682420949229110319547",
                "185398493036333417119974017791740162784",
                "75276742152647847295348772799678144858",
                "58079676075125460800246196374719579533",
                "338071882577150825772110445204833451863",
                "133182522954101362995537174836167003520",
                "186617902398562937305963443747868227545",
                "242115538133343039694740010000386529032",
                "86792521087952761586939419537691424764",
                "289941573859328632230649181028184298496",
                "73726961778981112920271567777066724330",
                "295353616060260554255194756426396055796",
                "13682835756197697681694031112021536821",
                "231434798552822151081854714419171318613",
                "45187157667527462963914606036820781243",
                "206628156288400208601106784475080408197",
                "6315757512164683492203332926118705872",
                "197376292650799457472660971073374576828",
                "148610921687715012161979736743345229467",
                "51018162889946617359698457878670246539",
                "252135445528457068813261016625610161338",
                "163695588510549147854191289829377796273",
                "83161801095427118634971743364088379787",
                "210012638639015811492265384542438836065",
                "6255667094562306262911926250318544651",
                "192922085157581237698999119977320056228",
                "99133171715306701445243272856532635788",
                "163664079016163324541186742587826247025",
                "303988248371745841226144170246765725678",
                "147485547602210583088792550362140939531",
                "266068174313029105577379125263753304660",
                "27107648758391821380480288509667360136",
                "86904920864360816978048056611627534310",
                "5640365527203758020381872106885496569",
                "233689353576433669725667456233682536480",
                "155573576158226714077736162159770417174",
                "280769058536187360718666671939209433427",
                "146715374110647422846223176208499028182",
                "303048530531423480124230688958288138043",
                "13641715596923247917422100396224974952",
                "338397238892815763797370318436076703398",
                "283186105782797295903856206166503038028",
                "44350610693353245613461956572806901253",
                "223571371325524901933236758001148464398",
                "215840141049968841339487324000723152169",
                "24747990736738571084738701499257970205",
                "247129491971889126217976094583682655263",
                "105591646186138401530839659867912520671",
                "265009287340638862659709179279429609287",
                "145488596534232551184973854569245976914",
                "112541934384452036201247768537577395415",
                "49258961232446977119143749523334738732",
                "61390643579980971864254296021405258506",
                "59119268413127675079033181814647721196",
                "88409912097108703411930465584747787758",
                "56469916224317227168694686737728083078",
                "222598232745406140733558984431883913846",
                "304006391136330644263762837065270938987",
                "330405566069534239084170857436724379985",
                "198577875425930006317642830204097017074",
                "34946524970907424769087572916366720070",
                "82586149711751058068072357191323679045",
                "284573729537229479309083295432582822626",
                "277186421089309803073853845221253874167",
                "289154372517421667848103027448796966026",
                "157218598637493926944084844873313232435",
                "299670009579782039554315076028710698460",
                "24908150538190575964553696311621303560",
                "176856425559908090657264754210782191382",
                "34364441876253661723047553115341142351",
                "244735500945498426529283430453523736122",
                "200398812030593743194364210521206883639",
                "6691486603361230473410783501457709110",
                "309687429721278073351986106680177482058",
                "312172755228290494775716357894003133487",
                "244820591431472462099441149986583948028",
                "338480280079766540353863918715189629766",
                "35259239325716050525162845310644609339",
                "259790599663612268297958932341963595944",
                "179213777590355290563894978211061669975",
                "220937041775138566352688499610232077503",
                "312449426174663818909807917386805923196",
                "88183039554169467842562764972182827627",
                "277507770806140558424475485540986856855",
                "115483341275899688990485936802897473601",
                "88139707532565775808445354337299446327",
                "289845777536869234214322096442850741076",
                "76440768995046842208177473787039412474",
                "42585258143800472201308722839012914286",
                "270882883569454386428476308082780954363",
                "108397106183424543557417622880085155473",
                "10082196753540893380144358133093204968",
                "22136383152416702225298776822849484924",
                "137458009566418318054986954006510574282",
                "29533413079700353425455967366574744299",
                "306326516755342495217977994859023299112",
                "18879377916963197069414887630356700811",
                "164926691490983230663444624376473974251",
                "74996358102314902192966431416472593376",
                "244114401248379963246514602074617185599",
                "19219423585698817931439559247776464207",
                "314345212386601051548721387931308447054",
                "246122344628770232891073952452056642319",
                "120517348229921418503865184597111327296",
                "288531433431964456635338622320815738341",
                "20816741029296750243829630381558326599",
                "126967736045037544610308812425697043164",
                "154320019758469991876026199427127307532",
                "169227697948894500797495641982189387204",
                "265271794929801092062257083892461560844",
                "286596106068044005342164328288539055325",
                "12305264525655255640669875972555201222",
                "177837713975165949873586111033347510230",
                "48910964992647604650780520805007783657",
                "244235622757293302982846378728083903904",
                "122082067296424638231799184184031961077",
                "142655595661398854846201790947670436528",
                "113076340436126791770279483537582230293",
                "103648375722440966704720008534987447964",
                "262241977289136788978798487142473024091",
                "212771399008241810522928925139342694504",
                "306282293317002738653033225479188125592",
                "189056582664528783518459122719249679211",
                "172008403135734556445055023940218736655",
                "311542325890290069556936656285383762897",
                "187439431760251776740901163874591841681",
                "106998171130002589092225738706446874641",
                "148301395862153625320007111426048386602",
                "114234093018983759318303068191617150246",
                "187566952234212364511761547341300524320",
                "155489313594619098980832980087388381245",
                "303510746200276480083251177973558142609",
                "271152146262867739009156735136195125607",
                "310180108522576051245760649898404224409",
                "148571934280432733759833835880373045331",
                "127920082891490321198394670896135173183",
                "12186993495840132259189181462626909355",
                "50649190105941185470664549868863641617",
                "266362261356444218152464052689855806518",
                "259083701465241256007543487594129656998",
                "39636515963011751987248892551046925106",
                "276538444099669870136246246662167215620",
                "243567356217495541492660202960773064674",
                "56302190963812641990118769511708769668",
                "91404303653494121986116103168423501381",
                "41595546703331021464192625402010634858",
                "21076055054908506783974574842624052764",
                "244386546275763188576504976073285170796",
                "57660271273232450878193949335058668269",
                "3380791297950033062461993372869446249",
                "245696605053628264438136721176592707450",
                "275803502071600985356733805403490042315",
                "99801749108937149128479810484996142862",
                "271100701381619273253079635760013372901",
                "327083106887350194683576667936237475180",
                "106024304230010242827018749085771942674",
                "4279902219337321335210969087883682615",
                "138751663560778097237109274586822271778",
                "133833070127744710957680465603768988681",
                "29401594645645043064396579394693789198",
                "128644321038103006152300079563880182209",
                "269496110181817327665703051205998647481",
                "232265608702909869952534356429611157214",
                "156564682372339156390057102742746751607",
                "312395656697831921971574008475415329652",
                "57168586840644373509184242822820738438",
                "63665421452937541677762565242424358795",
                "15525309244483001399958395213119182956",
                "108527574201525978225831877350445226074",
                "135530693056447874133242884753998817228",
                "204282554246844575541223319548636696613",
                "5677729463298145344526470835589039469",
                "101056297669384580896856177911937838890",
                "13114707698973897599808972672803141241",
                "292208731183446826231589586297010389758",
                "107862246732383648106532346005236927914",
                "301698345942084093668633559059961852553",
                "61584028557988195904996685100449175071",
                "232512019881570707968242143003577242831",
                "40975507450310877442667450653152351647",
                "204406473133036529667267166748942278246",
                "226474031996967474016964203156830999277",
                "267745595240586880995413950862706423692",
                "328776782626725130515848974670620633598",
                "152372946225928148497296958549579832636",
                "98823429178727214721131515208279349861",
                "13781017214824880389110375740881879340",
                "64326676537008516930896166416660294003",
                "216553731255116210199745248830709788105",
                "274300235594300803438820796339300606521",
                "68534746552032321761229521294377348005",
                "53285629733573300124358243009175396865",
                "285914720631093106737481095131818496917",
                "141450645710235668865723731649754045948",
                "149102507349586947194753968436130846809",
                "174711181471867927649127717583276381662",
                "53614456254413274453800216198443563150",
                "93321366361618468122937720594632425065",
                "131139568053616950469680948565770279413",
                "3220358570352727727853607047755916082",
                "293198880134137591348390172722771268927",
                "71658063048184710447748162545565453173",
                "336750727794380663376757529436456823810",
                "286535664036906301280870192211562918243",
                "215805154605876845730236082631565098988",
                "46624922666596476790928890714409374822",
                "41505877583716056678360895539609192120",
                "111063268922130510554965178653615641019",
                "102683361084942486459987648513925960131",
                "333768402689570404851493345650324407364",
                "326288640771616207331166290622532441222",
                "241008591391835801869485183319169908396",
                "53911463943869339131227095623740427056",
                "177027734665209041305131270467304899563",
                "74182907040679651128496658034656368160",
                "25432336397529327545074333696029495092",
                "4435940013165717274333787530102935559",
                "202909664059213495742034793761775008674",
                "111927792619250296045948020527683427450",
                "198685969462735054947525709686098213998",
                "260847940621131236334329048259441801975",
                "12609389795178396085094995752121036023",
                "71432082418813418864837994242005690047",
                "39629321768988344104725464264651934923",
                "337855328934022688388792855450494782626",
                "262133796182189471885262048984913710915",
                "9187282417041649768855485625323760737",
                "200077799701431949995905566955140526280",
                "297377682185938148941260973507398319960",
                "135300055818206814671660741819634310479",
                "130257721607731711921328618952408548597",
                "200747671607216309232020643080146541956",
                "16525386892577214409307477275675790999",
                "189476578804190141030900360498246135013",
                "118709362576954185862992247372702147844",
                "123839894724443153841280006636067700246",
                "62309038724864756093027273565751048279",
                "140613029045875642058687236240815675900",
                "165217750518067030666344485297356538081",
                "176721476357739418108340000088499273001",
                "42033667359956440738830550012842261307",
                "126564752629422958797894288993094602871",
                "314181791847344558604535940297867054610",
                "53421510449879447902406058707912324393",
                "250013265100969428504204155221175184364",
                "236406346287757237477766057470759692337",
                "206864088132176614975227566956800834962",
                "339774764062428714812231688005676236478",
                "70493856548323580379208155409863552809",
                "9386522959214627045092099836942604950",
                "312392695475720726914843403983339334542",
                "238371274038733581626096703937131934742",
                "318758709255091356931514161379253375655",
                "256858682760092545423762278036700519585",
                "210745122281185785334725074439194589978",
                "2595889961835172615841048039183712499",
                "180590352044384052069296308738493578776",
                "251352226843809315583180434580098400070",
                "189588663237758266368841468707387104533",
                "69732185358858602850301929659576847028",
                "297151347823834678064076411581093680505",
                "31897385018393323934362742760737307038",
                "268551013437313160340366406013321169535",
                "143581622620456781271512187772147551120",
                "161202108197680911394852200781420669754",
                "252891411453880307485116546730821207034",
                "54908728909765586153754851881274334670",
                "82491605563502624739355034341130335335",
                "58383144044876240321522207923467943813",
                "206090137383517065549903635747156720414",
                "171589112281455730855323028301587984693",
                "306593290177622141076497861060846219252",
                "170087551499411125677424283160771180823",
                "282044352015402668380999481122199770134",
                "314482896424410532803608982886395779686",
                "105884101515157065949106312296031121637",
                "26765430238973511048551275505162337491",
                "140054422059830953224708904081252565260",
                "161412123249686339583878664925454233620",
                "34333679643002349150915254598597514872",
                "284803066136850537993682979423082599413",
                "262987836582601040233864634121620984176",
                "268244415991316174535659230682182703101",
                "87879275280924667264963261606948626625",
                "191707578774390033842492797988845048538",
                "188467115659918639978372640531490766091",
                "90084015961127282207844114613088683238",
                "306253499027875649781471802823047444854",
                "215286685076001172644464925755746030270",
                "58506543288571378722110267226094082043",
                "329430561000050756413980241165629035475",
                "165781533867392652417699956013160431904",
                "319359539509875219304948043892688637419",
                "240115694318179107877976183591979754439",
                "76040069460382235473793679393906859155",
                "333438988685334776234817679958063135134",
                "334016302606657421492267147857397486608",
                "94776999722297415249047399518208685075",
                "264383364991223299405969602589589732289",
                "67636093222246951468900236912378143438",
                "101940003473357524212333051970040999849",
                "10911340519430418977495527146130001269",
                "71414810220534501015675842547235559000",
                "73978353238839170522479178842108987395",
                "64998235516771615624495844441965310577",
                "39007628981118234434523768664603952486",
                "269799494985302044593766098395746200808",
                "139012890277412987131845207592075664869",
                "139336817614757325504168603964556162211",
                "201929456226400617712768347233522664963",
                "16296174511516457029852526388073149751",
                "24291916020984081689045586671069949380",
                "185559055033118294687564181434782149932",
                "221097612620375719154711040242841347169",
                "240286001039935715678793427869575380198",
                "142060008824300476489217135934282040523",
                "245701673786332674637661157799517991941",
                "161040333239534275328781658651589259212",
                "156243189579415549280025766353882346756",
                "278915278627587768395992901655187852809",
                "63223904030574458693953677591062605541",
                "129676549634318196717483103702326332194",
                "96559897112681154669248592654683135657",
                "208472459190490880111294090042986622568",
                "147164740109125914503463396977741280013",
                "74283168227591152246885528094333230189",
                "289534301088950823403833051456855430379",
                "224891077120426749606236700911890601059",
                "100564645983521202013474926840610225398",
                "269844592042203306579781589913117536355",
                "118804717580735048076840949748803453784",
                "275337726209861921539036505381084470243",
                "18015395682397685830593443628768393736",
                "186718336789826192051841117003610464918",
                "263958980951517406686896422554195188610",
                "55602804388481849991914860174898654011",
                "172315308428803199920222725447475932881",
                "94642810915664093491622268594634929106",
                "207850352729703320000082605421549623326",
                "300069880187670981937965774045546544114",
                "122387472816307101232934319825696201492",
                "169921725870633155066108370518297755797",
                "199139593421409160828915763553607126109",
                "172474136095034781024285916548690053633",
                "195568920355272922113331117033129512840",
                "304856003015262498019200346186229028141",
                "6402407181038314403838919310148601365",
                "184532259712180426200891002081576725635",
                "25259713391349905931231200446434283505",
                "91106314485428608137449178545741628540",
                "237510670475182607040757214710384166095",
                "230729769867562441175963735076501094152",
                "277086901223023518400089905001781455386",
                "81093223030551013422296918122871248364",
                "173671046684364734867243948633728793555",
                "83098455986048210513586160353166485654",
                "74927952913817869613360643662214832700",
                "237468008664788183529799009528125087441",
                "180658675483340834432214471858490484289",
                "29073177674368323454897418311956785027",
                "293750204695923690975647640958426928362",
                "69130440226721835295385873002437962738",
                "126206658672309130168363956995674182419",
                "259578413300050272178165272021894555175",
                "160367277920184425505906941249775506757",
                "309442058441171037588747162085602893948",
                "199520566422191619509843061119991520502",
                "156536022963635516837806233795662254520",
                "49786635105378187702046948705645165426",
                "14014723888801279153880348986578268362",
                "298188500864668427804879189254143832710",
                "261723152431605096109928860370686536601",
                "141800032049631401126181731276006971656",
                "56795381385565254903080457286233419957",
                "118491435478848289237455657500138177852",
                "276712668113125812848424575095900700123",
                "195945465187097457429008497075752975900",
                "195014072530483263454460057039721074933",
                "66335980933893168115006843078018137504",
                "154136134033184374163467613488823663552",
                "155321412670073338649687253482178321872",
                "286808876363535757956651720212259475433",
                "338504634375495188089679028255745548245",
                "229106358692744829707576729709571745479",
                "204565369054611700829273190051035888500",
                "236533563165051276376222648418129482452",
                "288901937835549365433045471756647466263",
                "161087825304240081047482912178596810666",
                "64015732802187204195894587599691459355",
                "69288162926733815253373432569280530266",
                "30941018762256284794995458957055271396",
                "291449951708874222188761594240014412774",
                "116394188430980133243934475224421275792",
                "117610623435918306479686631270401297982",
                "125352745365861625002560711559771483872",
                "133858583733015369367095533593101545422",
                "152121655843257013784993687299278945848",
                "19592178480255975445678930686941245987",
                "176651833532992304697108523941622073043",
                "314462276097952189326898855342236923712",
                "244849671028839920704944748209915904316",
                "182845430206614694659737919731501081481",
                "255753113731116550980352650191585370364",
                "333753196094601606308912669710268787212",
                "171696919878628373050374155159243650970",
                "288387506688885652929384783265380523491",
                "3732570894744709499485040900996461332",
                "67986589288010097096456347975028032692",
                "28954240909802990323802567738198009520",
                "163441545946324943164542162604876399220",
                "129800387458462696498201013289401253404",
                "328786426707065399730005535954612459536",
                "103098301347966075978282319969870662681",
                "132656189994434509993797803812045630987",
                "5282446505066645987767437341225222841",
                "129160204846708345867758207307590685739",
                "124580028424053907596454732541417605849",
                "275889471976999488221727096958108471610",
                "203022200621375288317764153149894180341",
                "174709267844223937940327148654680930950",
                "283764072487092576119422668579585234758",
                "232869519408875422877760441976309038292",
                "231621127867753452815442423623852143585",
                "25509704273893573225087747534755743359",
                "270761779363032328821056546009992617789",
                "138114596721807248528552970184695919238",
                "18322788378338557632570553562434447040",
                "119964305774064105916431399706118510526",
                "1833112553425455580061889187480088529",
                "96354738415114231379819335524954620092",
                "45757374973201157891812310301281412312",
                "157043729366840549937264444307226402637",
                "131411194267348051210650632664086425324",
                "31894918590703554841568681507308176590",
                "271089124073760232902048152167219624284",
                "88711869125864872939977856913856593735",
                "332782090354340093515388212399427811640",
                "78113439718336883498079322224896471141",
                "140667597926695935577072890006440571862",
                "270578406496928324170321423106400692006",
                "21724332669840471985850826176907359235",
                "300939421290763660143140216345650397152",
                "56780186626487198978356343639827934286",
                "104822254811825250296318314069110222454",
                "300413473840664192010037951809136799083",
                "298132033884450801493780140613062242961",
                "107500553410878002301684714650835609158",
                "118703613309645751777885599417139579159",
                "154777989470149353495268273997559811607",
                "5181938054608565631895886254779187187",
                "57393719090458316645219215316228861061",
                "282042524467315206776663551789218677805",
                "188250572667947935778167680263947028658",
                "306673255206974265849517733536029003931",
                "10708179477961080280628476565386006100",
                "154442508980623140747421667394255928501",
                "195190582304087204289753923138262283874",
                "312329452276359955295646433297704794792",
                "315852694456995232258599410686887166967",
                "6187575239501225034150904171632102670",
                "164542807544711248244684861209436002883",
                "89648554952002292045212673166857216208",
                "120366249554174891715771134823359090892",
                "217242788597856678411560829981252849057",
                "182294456188023310469008829467238499234",
                "169610421754185226345317827080627708811",
                "334920795121689158453340629465618827010",
                "45718119288696183234526138789498185172",
                "5097496680330599331725470317606254717",
                "207288682678828129781790550263861629123",
                "315414096086699914417742836053135531625",
                "81349121225051900507929150539116659287",
                "12533864459854323556213937048914588216",
                "27952159669778491169682351452031632638",
                "316206608615523334533422353039693472795",
                "146902751722008873579076969459755163067",
                "36994640795852936586857134985804111222",
                "146347395637674655427621594092124833391",
                "203448636468977895817995808506933137827",
                "249626613890776537237711912985043676407",
                "10155959868957589235205066816319992093",
                "29806396946403086704194692406829536686",
                "84803370866166523269343865520443913429",
                "36795137561738138754923592696104495955",
                "72027799399165678251194799066273342692",
                "151344987384910396169181754073535092307",
                "193340092030027245995415625131628439865",
                "84557013572597374599188030075812181505",
                "218404208843128985837475595851420660864",
                "149466558860761084381753533322831823994",
                "256163410681847386279961028110045154034",
                "153096972130029255395624168460559512296",
                "48735822094480523721989157889953319576",
                "113131848802391363138230418832016925742",
                "295023667314582801899436384025557039807",
                "329954772372319286507566903107943234283",
                "130664232575910845367371159745222303589",
                "104505406042003863555586808284009259531",
                "110853486870858231836152284065048066254",
                "257756837563200853172882407266177538061",
                "248182213522827921218128855415728602235",
                "108289462698754765825878290311892841488",
                "198540497235831232964546971390424661975",
                "35925550757491026915234650251233959884",
                "40947976143806914238741272407602967097",
                "22733476513675215511379270320074472507",
                "31741145868558270165675246244491801384",
                "136221844235666524677408205315060244226",
                "217400083442387289916536750145531725660",
                "123004869588293678118668648853793408511",
                "193607186014369543974903126751171838244",
                "195121666811031995256103693096546048981",
                "165842121587815980727344871373932377933",
                "274755266781221399106995949050709899568",
                "65060381326016935713005602717328506778",
                "82496033377093155076656997932654420571",
                "291556874935418185024712362679870377709",
                "314619652492216908468309719790814663434",
                "106714299672987802879766800770521027619",
                "170075382426706645302354811276358590393",
                "128936055686368440073381952313438084967",
                "223878822272942239251613524330347868245",
                "337543347947702401405343436372829987027",
                "93803465591713518403888088320878669630",
                "263741527731603556904950040553272749740",
                "116128400544102118444149161808634090314",
                "136274244386132339291354580764506834441",
                "195135364825693399819829653936030677843",
                "229355688219307101669383534832468050497",
                "241585958402635423589737664673771830262",
                "105559148374357550085362689834364398308",
                "100693935720330928192407656502088026444",
                "37454398539472272976375201307865127956",
                "15419075540534142891034474262313469774",
                "228164891505656396047276803879308033321",
                "122301845461214221248418709697766724791",
                "160181403419031134019068021862648057402",
                "24518464023993299009707141153108606927",
                "146083131120743715799267054654482918800",
                "58253017127220327739605867269676950041",
                "1781051424606723924516355059901710983",
                "137276316296492554331444501556269337614",
                "164309206926365407855142697898996254116",
                "301682465860050749118864364443969988397",
                "44446650734315117959797833932991493396",
                "32738353368072227438446432752281199685",
                "301021145120985948465133278955180853645",
                "227186776419520382610512409333610435139",
                "36341808127289964343550237350177369415",
                "317044052545192438348835988745738215668",
                "82056683959156109085869596479356025157",
                "228818222960419320357524426904389834034",
                "97248627263273720133025380526925177777",
                "22470503282918289306924675841288263884",
                "88500523267406032718984103968553581150",
                "286283882314317629999928164395106223037",
                "212142836511509327755729300395297264080",
                "270167094218947184941520425539755529651",
                "110016623997487324525268949056857533055",
                "87102051750563641945631721544676762793",
                "146873357919351585750591757660507305758",
                "57801992999995607896962697679733120328",
                "18246821341368831482569631237451354311",
                "291403453918524561338463938029480143362",
                "236259159303399895766959685211789922236",
                "170139275227974484870486776208571973317",
                "333950051161486245729784638225160219140",
                "283881054490109506984405332693445781751",
                "427068438752463065747518976751157487",
                "264353388976589071462295548120895487449",
                "109589865127071198987011858368325484675",
                "250682325166210319292950011337394710220",
                "334570653078468292137855218475162229584",
                "185615449290604291174669686098983715065",
                "168365030580936835303871220348988477323",
                "59905327879413500555846378902337732123",
                "323284668750190254764906204039708885095",
                "233208787955847652978351562082959289481",
                "69660690371736447577113034148963693924",
                "294639982751123513025429225658297348212",
                "118396400068714476030160859673501680638",
                "263637198056348691487060098084063013126",
                "74216496748963084396792043399761787148",
                "30109023699369756905720341259611523359",
                "56408381093144680410049520743011841219",
                "321825982034745850938378174879703302130",
                "218984435450684929315716508940551826343",
                "126243179360689649610693178253967393096",
                "221523858566603787345378112112505458800",
                "146513688526496213888161070673902135852",
                "633213215975633076472246682982788227",
                "163692794044151336218792127120323747017",
                "9118170755300667234989436633599718739",
                "103714417647036376487094960436971669432",
                "196293497538150091961381995228450633298",
                "15055033445734338422094600826545763924",
                "136137675517665899007830374386391645836",
                "192616111502403719320800805452746628653",
                "275308382187855527503560675034395796167",
                "311925150056029503409293663222127406567",
                "72891266228770084717008865520248512059",
                "229767359871224168212852959687425492511",
                "191200157343821476848880366858081226554",
                "294335409317138233469912905600883281041",
                "326220591197304016230145771141222381756",
                "129578516878567493285930458273707915663",
                "243375909001787245919538240440254069623",
                "276731263232166734319625958853392818974",
                "183730734562904754590677245791453783031",
                "125824012596881547372944396779918117195",
                "284883733853692719528333219097388479094",
                "71342838134346702904102388108301927628",
                "282029244461390974922970152715243787229",
                "16229439401778052076231716031614135500",
                "162385074103198420328754263906620359401",
                "213167347824897547218583158959832160459",
                "102897719763133048611093275752283517327",
                "74323048967325026113955535554428102982",
                "144301624947050068148595779849381033493",
                "139879695877105154302415154967912713784",
                "56012092065891711159927336343549068569",
                "29153848778155632733699871719661581551",
                "241874556744835124074290915277529144913",
                "25266416188412989317839783440786477906",
                "235305411933759546690078373329200647623",
                "254667843535219838695991052532944706146",
                "113502520865656892661332748974260562902",
                "185170338322352096411155435408913453964",
                "322014491466061035620120143754152500928",
                "175491010095997034804311934607037415649",
                "21280493767173875951566997677205308559",
                "288854781783140183880767058850523708",
                "222922607930744382018148388664181871051",
                "37512551080444091442395023706158638382",
                "57016868744732534810690523756652515838",
                "187168121973464745497436412604994957631",
                "187070060277464619645526697050992209536",
                "290219232294964546893663334469454701994",
                "104669158127039590813057748912341686876",
                "120372288374647108182574412110282540320",
                "62851722164513726054296554662955431031",
                "178884610069993828949151056208958516048",
                "173361903887853597684284415512894824355",
                "54565183860381928516149177874330402530",
                "320119389804135585654676579770911978414",
                "177980638106492049467137760909908128308",
                "257916983860061999840653481956089654182",
                "279467209180678491300639162936998029540",
                "44850471225148293870249075690696210996",
                "113685729176026715411005087739181384778",
                "306746737686670123323195742351268256575",
                "730516106388659027492859201430234017",
                "143691173127266421714363022773324615143",
                "21847586530121838735815655855591470935",
                "215103599356011455917820458549973611513",
                "140367595820062918163139720340500478456",
                "25475737562768249417340159867857249312",
                "256918085872182342143052342859289079309",
                "127727883937411797454926050308333898092",
                "222831604675167622486956327188253279986",
                "111181555754062479660109662001994911709",
                "248965081687001632324766184491080846534",
                "276964398900641368455745553467848945436",
                "102581903225422455645275420237675226547",
                "160258087870294976218325207600878165365",
                "107469665536804204479465549332248271732",
                "333569636216232180154786707650439223751",
                "232471687497509458517637678893572598775",
                "76898016876884683853311656777860657549",
                "168008494599655861375996656729061268225",
                "303119077999149935501772317086359795756",
                "246935989840272312285465755602511307132",
                "221307468126818347994138812521876312943",
                "213242155082403800748542140953965381927",
                "165611683738769352105439988828589682008",
                "59663898775549512593927942018809275756",
                "208610081806592620941958731752232370665",
                "20167367155232492955584692263344029486",
                "204072770650979340226372791379164010956",
                "139387422813579348709791784041669622587",
                "20332347932319332996660740701659148761",
                "132283833348152099131483711831623550688",
                "72083572093517219331491798407660037110",
                "181888205558558626460838449192498312300",
                "249901645279839189047421010910736726038",
                "183252291349292259575746369558040481063",
                "126532624100203113606821153209003542777",
                "92676893969157178264895704277236555141",
                "125541463670023297301722522418202078349",
                "36268249833944440701375363987194786385",
                "189379733974071441670714471997679363119",
                "304931730874581713536550560946863285495",
                "68763494325702713818818725712294369139",
                "86037961963827726794356666931777366744",
                "266118590872624067620633353745201081969",
                "217630643839227511446698450903556851120",
                "261078131120074633761354235805236282829",
                "87262498848076592633822707145738073258",
                "175780242771287913519189782227954935577",
                "206658917008304424311625832483056852755",
                "287261263376983506510815985617575906964",
                "317976448786934109397280635661426118124",
                "33856487740985732469137155813870455184",
                "56580022628010530621284460862340369391",
                "268539029219531274744028170947782022806",
                "331214103655366727399056129033697506619",
                "214491255674774891437014927084798122242",
                "185419010249935056251937169007846740074",
                "35623924794449573852875666067433960582",
                "238844263810528943883952030658735750155",
                "89166610743874780915461993458013456971",
                "279606443744330945389986685016278890122",
                "245673262255687232928840008698921286232",
                "332096759799962768002435169106138750458",
                "48177891322377139408069337268913853905",
                "140007179619575943554013809130837885283",
                "264919615410966290455591471638526109871",
                "251151961929381580006724104619131405479",
                "28259571423564008599266847296778755",
                "240091913285901493620277328407674384311",
                "230372471671822697787867553100148026854",
                "313790889771337236141388570566329117484",
                "326785296278542201206026144949023881029",
                "234239693202421114292138324924547637455",
                "188855930800287852274029195604316532434",
                "11723795379748887110553521595912883598",
                "110963583558704272772633351879768709960",
                "195839613740959861184612365953617280710",
                "298213806083304824066496299014093554309",
                "214773971885669663721088066659853207872",
                "215376391925061498930985896403690899229",
                "56212388750185023157335619261520914550",
                "207838180978396848625913892389190463174",
                "137436897997531802975205713971137837436",
                "304627261904022746377773097921942005202",
                "187452626543301200466903187528102760451",
                "173212850398994484863008621852505555344",
                "99312584924900962201244080772695090383",
                "73685423927540727696868059642148365266",
                "330691939835110515477826188196669488323",
                "221631115859021803646839836246515818050",
                "73489175117333377577592325182052402080",
                "269747659927713867755504281011601741755",
                "44276165443389968320259064342667458419",
                "33672874947937119666490545243175174002",
                "146283961007495132347389048477408351476",
                "292725068468993346308999541959384028531",
                "175061794243721667505645647599546210716",
                "126020676235430225348392106210808206088",
                "42287373135177518000062671787893296211",
                "138582340777980263726712227806074359440",
                "130546703123629244508207718364947446255",
                "27006403682483114278982851955854533863",
                "1380113715918620090411981736767160112",
                "301861118012107868226919368568448917265",
                "127705389249358046798259606856922804670",
                "20497384975991270040951904466744093493",
                "187126943681598587566415347859060065403",
                "198650740228454774835789930566654057494",
                "331240865186744551982458005027119802248",
                "220679456395927543969162333804073558363",
                "190585226269948562987220737553834097076",
                "249251565741073061959460514028880591006",
                "32485639584954340543580549837243837731",
                "148292200569693050249493344039518610993",
                "295633670903332007095794915226789267978",
                "15880200124604840156470699208683362337",
                "172662846473923564744180146398575030566",
                "315069157992314967068495579960300964614",
                "4003762311353197844339947029083357836",
                "10382142979400664326551593885182566204",
                "101868177116635066423128350339048585905",
                "132485571580329458468939777322192604071",
                "116869414846850453131750959850636119361",
                "246814470739101035289314633003048961692",
                "148511407801356793674530102645756625288",
                "335738445737440888724587413136640949926",
                "8296334983339383551233395157236030725",
                "97474530266167084719661874570383662666",
                "148583970403787361410177152599080619763",
                "292217882940696820954934648188812706101",
                "82075172427132090667022262632162759332",
                "4607566967472015896028859935620618806",
                "214695229045478610842040863291050921417",
                "66109731163559469540549481657576833590",
                "164234743605460820087642847592449836514",
                "74906959348522272063020343635081648838",
                "208231574707194387022129870359826492061",
                "327648205981246233328108478120221299393",
                "128683330597309495245300342166938824697",
                "36619371055833089606471649472986428799",
                "194767127314072374479663678345388654434",
                "335424607795292832973167024053806482508",
                "264896135698761053191385030400414527642",
                "244574096789866465632414958519538189705",
                "333755594706946747722672190586686648312",
                "253509925097803851808806891024658291587",
                "183188216860805010411817137422481312778",
                "103335471693591235533465038131015383341",
                "76849742815684579345102694876219893199",
                "96638758488433220995422612419874243022",
                "53099164219662412222303418336545224923",
                "125479093328100755410256724587757825161",
                "269900015448104463880456709329204063365",
                "77110479238382552917925215496370268355",
                "197889903317471101243994253007358152310",
                "80944914840511561222120440952904369512",
                "236054627755124002530943672246755267273",
                "298627785923487095660932662888987955570",
                "293444534130826804103218725689986491184",
                "89147994555764426161052520781728712316",
                "185755521524519099936099768048234987146",
                "60580258449466475879709446627972564233",
                "196448442567820418174786115242736336179",
                "103312326895882235858226709827133371922",
                "231208201065628550059999920022699643490",
                "104656044611041630256989788679852568681",
                "29684690170607537191494654424767752516",
                "244507058408806040282497252461950168498",
                "187045235130581073846758562052020215056",
                "106322544159470163629221752508979806232",
                "96501514930006892681538313048523317888",
                "186947424347918414843469727771844683259",
                "246790542368241328268903993230200817161",
                "151702951154181593187449081128594675994",
                "201931554975496159181322603986625864602",
                "329995829304052081217054158515749174880",
                "284695260198029750078585584746540225476",
                "194231147603324846543607538704341082861",
                "161360374540823683925673976376142513500",
                "131581185219191449368096432231876958847",
                "324336214416257450409898430620526084318",
                "255090542018535021681464275575299709679",
                "7151571341511129047911360878295865316",
                "232272026654790826699684397817272272492",
                "111120865856857687393986272525448253032",
                "172992710546043727824420153213713940610",
                "253101661749071242198035352920125053493",
                "42329779835274999360939855236824030343",
                "297607510845347440621587437764879855154",
                "107838492877339253927238902789839039256",
                "225016870559829538578569202264592523924",
                "10370095534262129326877075049473882836",
                "97697105980556788227477541478489339987",
                "66699120361108359650075234303853754580",
                "298524516647115221442687279869029714842",
                "179394911125344925470434573866581301780",
                "162614412159725238931208977685437563817",
                "224477135377910746387732438746631902204",
                "259825779755222381001920047331130631468",
                "11244310111755701979998433201318385544",
                "249189460701991830827116507926369257435",
                "136545597908260438475455062364120098513",
                "212759860598820272264397273118502849052",
                "313533616392509090960413122623180727455",
                "48056524948384975046152041542813215686",
                "237932250108666904002167715502823160148",
                "329029106428174715168728571173048148941",
                "252570580504393859564183190249956057526",
                "174712198624339188268849087633460997099",
                "77560710885247540028551910407128464333",
                "315636146137345739382048514920586595435",
                "103152037394001943739218017534540844791",
                "93717009283550410816220828340778321198",
                "221355612690368414120837436622047913126",
                "141846100627922757999802787109484260911",
                "72005861509184781775895524975769648975",
                "179734921862135687496212580675691173891",
                "232939750136564662215717914206928857856",
                "184199302611093524979549644719731154966",
                "286274336429738641752141646097315749372",
                "304079086261825888938794997789555168476",
                "193179792772938271147228272896161780940",
                "104845216298621659455768220384580128412",
                "305208058081516930904678618127914854275",
                "309190244659653970269047793030653443745",
                "95952773301104618755595786953022118471",
                "276827184322410525999155362779037780968",
                "257318902515903845307684615825631177855",
                "148468843311151813850007087423355889204",
                "322923710309980096643469919484773180401",
                "223117694578828767530445117445734573087",
                "1161920689959061835430090413684893412",
                "337666429481032307011959465156130927332",
                "285216541146275916197934435137776676652",
                "199666828514212667887906319209126073269",
                "268949084959620149187525443366595017196",
                "268412734003974234729125886285257422202",
                "107803591749663934553028956749217117854",
                "176059586974863814079281140337847566268",
                "204725066229859634337070034699330796615",
                "330241374205810180599494229290414597252",
                "171906888950177212436958911135538075905",
                "20999333699814998267715123211430901996",
                "4463244867097635632035882741403306078",
                "150124698418845443365201433574254909436",
                "270432075986690494822334929457661025810",
                "214834976375702239141483496953585135976",
                "256324443713670257125987829699799845647",
                "297973498586844352860096301130313727886",
                "291517739224162050972305605249920565977",
                "127221124464900350936182038231645780248",
                "242278206735630850885426056277396207511",
                "210713356235832437139605750035872142917",
                "60609134146334613356931546202286732836",
                "307217145805065817026730270765018639931",
                "131482278197569777121297942415495620373",
                "323205352334248981928120226600537854128",
                "164629690510198545578358402110062649886",
                "15367247128654387639048438914498701770",
                "291863812775455492287825986924747179372",
                "225952930690506151825945363861608720610",
                "167956235879970067623154677214030107679",
                "232980117783767941366622718594883389755",
                "116348169496300130463531734760455096128",
                "137607576737372290152306537494486546564",
                "179201020113305031030364420933381279596",
                "305757390282786801476663959973777610704",
                "7352596891234524933923272183526307842",
                "318573549133228848728402780759023633919",
                "196653841949416248156317998842265312116",
                "64770320876345528174396749950532137065",
                "272311462927852839041789341024290480264",
                "16128672328361002610644185090543525762",
                "295116303414477795859098348031307314067",
                "225250353838245354059900852360064712352",
                "50164968290040696351919593213442752007",
                "290287860875550538283485751140450096538",
                "259178265514241395453553649229120182549",
                "160856288008900096054339626048152593136",
                "11268217205151114281716335518356097639",
                "141366150615302037949748415277089931429",
                "309074576864262644802843596662966026273",
                "272777645529721720474547738572573459859",
                "118113202582275304526385656813068724194",
                "251991398681310873908910363828589350470",
                "153985378326305658532462974005637638719",
                "87164642063571525274694291910963927679",
                "250000260757148890681052030548514259369",
                "102578752037254651405857291062678466633",
                "338368326258830631718104830740339149191",
                "32856075808145482926543059379040645411",
                "296819899703105622868716755966241726125",
                "339035150916072105210615993863854448629",
                "240934722148841938414088149061464020010",
                "271100049001017366123227514668255018392",
                "325375238687643342237403385005681403131",
                "259840473009798827978385344573035633882",
                "248680024750470502794407287571786158619",
                "98580921533796313973243457892128448235",
                "17285985829256057541742915049163056389",
                "299054853379497129614027297103257124877",
                "78019822799897012756002306330427925478",
                "112326263702028178119703899475965473676",
                "6326810594570672546956209110379691407",
                "274191499657271047107509707966793034445",
                "157586838667268679145699798236723817812",
                "309053396928995985778885442274606840044",
                "332030929028931927427708096478441359686",
                "45835085069530290201130750227524947470",
                "318824678259906494030884817405302064994",
                "195741141312084002907793061997680958346",
                "318840691405284598933696849470117354853",
                "201818793613562855770156157367563720668",
                "261950561930584218248427400583381592822",
                "243504496738861472395594804471928583169",
                "68282088146147304209165434232926553187",
                "156810798713254926795213168557991477073",
                "22301738645571381097137195063899215127",
                "234911309171621691137946558730531267544",
                "247542830074145531595082102761627574064",
                "21599181490441354807825016981250192767",
                "199847238612045863971820784304346176151",
                "162421834822147805168681132399580167366",
                "176568565715020354232171109861522303314",
                "304784789496262527832483391323124588372",
                "301935761201128129236429618822803292737",
                "212790956660885826394556365330429984328",
                "297484479734380614264650254946736280491",
                "286108642828459028488368590945837111415",
                "323980940422896431538147609910773044745",
                "109079208622741360955269954923916629554",
                "274744348979020407612641863630539995941",
                "162990203075873082201485704814766998505",
                "196652495339692786897413146866176787952",
                "137705242120169277650713987819698735773",
                "187755030163697199693684338290806827805",
                "60071963634403723274563325222247994300",
                "169797313069191165889785372794710955344",
                "173389294169653509047557981700933099762",
                "145987544417815000285757365569214279808",
                "32035251737582352661524800434710262152",
                "323878914315014690725852458482348365568",
                "243505746085630456328705806703127694028",
                "175746878359592372639773403200454833999",
                "58437832131581778469372339891870942724",
                "171011642678316258001350770324535010997",
                "312563573436896184619803720466386508051",
                "82096032605249143126181954614808653033",
                "94410012168269708222998053779119495364",
                "4250748620670879599494603360079124153",
                "105342476583614027012573297251416345779",
                "29568876646647225021625025920302665880",
                "141308724865982903645091266869614180941",
                "169923104012902980636558957450260494868",
                "324167549299025153256600693421181379261",
                "151223596567935954240797383482440852609",
                "120300197543962994925236592406002948931",
                "42520567405562600398258186029983118774",
                "89501043859254478685233398326952945316",
                "30601447273357418325313182156181203013",
                "136766249736699631025677871607319291293",
                "131267276138943927686077149377075076258",
                "183928834060548608051317406711656505822",
                "215333893517539830487285013416928584798",
                "105776328904337290296871453507852191403",
                "95259740281568617220463188382349414480",
                "213427057308798110552984098756328146139",
                "188226425502073535917648131979237307141",
                "60584211905181517661535438190028204397",
                "184464701121577320003625212167375306037",
                "254283560399188717789419669336249986838",
                "117876250095079516596183020454585903099",
                "301461877984287122439754790299617417038",
                "93544917540051468438740798960023945937",
                "248185603968219802876539671747995808650",
                "258325456052824153099178483483690684012",
                "213238429609859119049182015116885271768",
                "2185595875345282216971842970177370911",
                "116620776546937930826319304926442746135",
                "266408351860414402353254795848107803539",
                "136159422528303877573753281169914773304",
                "337779956606416852906033245085909792049",
                "153915407186263860669677793957005464314",
                "181409140770769982843936873986521178768",
                "132143149915767949952067657127753095940",
                "4922852616916548662516092272733945153",
                "291409650170997337892745483129240877823",
                "58041071585752139608338723721066382449",
                "263958099692379730571658469366185786336",
                "184193840834211914827658417183969542322",
                "239593333756443852353754007406129881076",
                "202911661047866570391014443202319570987",
                "163408655215406297082036404209195234984",
                "111086494769218208882321099746850817285",
                "267523036729526459658294977557241067166",
                "206516953447902158796529710544693794646",
                "229421362540708758585190416282799869001",
                "62473426476798099252918211766223392159",
                "134433561236395612005493793659621582831",
                "121815779269840990809735806136491833777",
                "162441573462223393401231330730303836739",
                "163637354927094596485472540960744335048",
                "80512879870394945719693253013808872861",
                "322800479205492207818556246823310077633",
                "37631213590102713168167321775946811873",
                "303139784112317554133956809102526120135",
                "134425457937071476929753178811250482112",
                "141425216006954323103468687856842162437",
                "212564441520818503580784147039469833264",
                "176039610110115035461831165733145827075",
                "269301486783229047404679190625014158194",
                "10536638981407610603270907804774337598",
                "118027291810232607012478652753683569397",
                "119122966137227147925538061081709976997",
                "145866051122576161879311937957774483919",
                "85797650545220688972542244207759437476",
                "150962516051921644051141067255565115466",
                "25184930089072385221974694723025600958",
                "80576193005016564672047023832915792697",
                "33339615825470642215235676871053752980",
                "153915525513716455726593635534250706386",
                "204030007725540917876298234992811616116",
                "109458110906847104274762599568966273504",
                "94788700825392620650088234181206048758",
                "318149065363384408473300507972996106658",
                "171643008981833617842472392822282931621",
                "167934451354217893428519629541142921636",
                "294462204291805012467641478290495424759",
                "233431393752143779944199458041152570631",
                "29653361089854980638867387428157051668",
                "44303371609148257230446802098697751562",
                "27525931388119708234342669977097749931",
                "22434594877521381561582339029341347578",
                "313516543816888713537267438749637306545",
                "51452384620155609935082980781129313302",
                "237040257808502913198000046100238016503",
                "163442664420048254520079984602743375748",
                "192531206492532821935448759124301106157",
                "183642068107781352852655370018895687769",
                "326830530897924030950323033771668338360",
                "234862429210607714732007325894719816129",
                "50047082643354423016578140062894631114",
                "116951339774353677894786972018869443870",
                "250973149101912111518610089351713182675",
                "217851137022344355835017665313493146056",
                "94438732989174462895359508855043507342",
                "152543345058770522945044350087824517484",
                "61558663050835365308606434730323520146",
                "260544508969563565530386402852013972101",
                "164249202352454393910310445473099861638",
                "192161184025866613423544620261075927479",
                "272580370976546235457309155940596067611",
                "179070435962736727284386541095746667710",
                "312047917528779331828542980064757615683",
                "232322992335857098974065118869929972770",
                "63088490587378221805684131802980416309",
                "114365763599579822047009328711739676093",
                "85853385108993472849262045028865932409",
                "278891163401601466869622541228542267064",
                "182309760309096297131257304013911589654",
                "142768170788144371898686052381687698916",
                "167474531835219472103795483776119707872",
                "278102324238336926187876839076756860838",
                "318915400883770921222073278402502491032",
                "153315562824705847313679095053883871566",
                "278267439098661727091537122043661729521",
                "292130017294671239919083662799336939211",
                "255156502390860072605257107006599143120",
                "63331523274739433544561331541203054496",
                "142433682802832291718209241499748400315",
                "229435241356155381245732861723731728210",
                "133852549133236947154208917503507423577",
                "187666194414181977961546562561544609958",
                "279194549702143504987368110853044424329",
                "216988523452811023588213808326543789844",
                "283040878361285968086117899161911228740",
                "330337999659509138810588116956455291353",
                "296618172277227006034453828604917152351",
                "141995282024190773970530555324872854088",
                "109837215683726348236923240233105414710",
                "158636111733694124764532967127084479223",
                "317015854845879930271104010371819112789",
                "158568478718117165624455725774752227820",
                "130137829421895942013178805082709269983",
                "318729450453112754944551254411637673384",
                "77415985998007736798027501721292674882",
                "311741737104130990905195305282686036022",
                "308945012944327164342654947674765668218",
                "305975836764725324491497987182522438518",
                "282836630004275209211829821735849072922",
                "331449969984406262372343741155898513512",
                "257830913114042872872961488269798412978",
                "170088052439431238468165604170392419072",
                "307127084043930840373349491174911329686",
                "8794467153527307845357889584811439976",
                "308437431083151067482297079753767121569",
                "280196562494089687064710412938073625883",
                "132347766637812484725517049089362063433",
                "40145314975686948188156759097084446592",
                "101803046198400659448513618947509012477",
                "115944924844176747176023223732483667116",
                "215926031380052463735309927729947655351",
                "325637841244031910858859245601260384154",
                "282840834293593258418647652179749726554",
                "76850014155310016421672621232280363773",
                "81473053655883542273568081058060321909",
                "171972294894518922706626541795817977237",
                "324069715381425481417450830439286909358",
                "73682137459306367947830024865477198868",
                "67098274233128114931291261902652555557",
                "94168683540493843153862965144078551466",
                "293050991503156173991637287741930040937",
                "92357535851258555223944016522798887607",
                "44541383061162201876587083256448214842",
                "329335423325060217519392594641054529936",
                "27006242802565719803104116364529119769",
                "86700309827694478645881668419030910944",
                "87996375671081382853283329560959040260",
                "144314067053689294307364802734852657749",
                "181027989772785918437606208933671703223",
                "68193318851144187159572230806274460303",
                "154494032577362364293410109859005000984",
                "137864100887494450410554510548655869923",
                "225939627059884593844535928882775248309",
                "161038006784887118397111093259003757631",
                "23439038219774049618987039692900465596",
                "325913938407343702683757293044978628342",
                "56040164468103083966640953391999616864",
                "331473752093177486023737756336516555200",
                "37733846763016832640992505890259641553",
                "235838672600088334526903314932065193701",
                "138558119798470544982531967626075604587",
                "277770814413149298686463233146275808916",
                "253088801047747113367860179648217625142",
                "197412861430655836969762220966217258515",
                "167215612047910546526761871462909974147",
                "53890951480937033538763531737026623430",
                "33971255061803639416361664384226464108",
                "286613449300166714021242823087450005085",
                "116521352185854577481503725408962980064",
                "154856564849844229697729051659040734099",
                "86196283638702543211281297470917353849",
                "52958038632239862752672380677712289130",
                "232157340608194675838935215946470648712",
                "311768223977592821768752523066313755159",
                "258958283538164080283682808973089475890",
                "236730970333911968930173563368590594774",
                "246423696323496979228489140181409269534",
                "225029853627848868458937955840939615494",
                "123917050231282092113788481801135046706",
                "18951315695568981747542996560652762662",
                "174445366608672909348497031323173153201",
                "28839563358989323602730320213217374248",
                "251945435985178620321985631004649693664",
                "171513587381283151358255227655563740458",
                "287348588126140003023874428965730802902",
                "314818149528304781444918738235907806896",
                "313688439277222412762385583915848607194",
                "231053961707330319774585179647803283768",
                "120568542798090791116874618806340759786",
                "94088363164157926684298708194717273421",
                "153040583333572794225020867100454405604",
                "151045633340963056015205418519800646863",
                "298011936145958008270965108825194911928",
                "272699280370012985456015647787185542962",
                "20706203326086256421936838671713941858",
                "98142562976532171639814331939374359896",
                "277599339695869627640503488414415995963",
                "125970579304504524517122748723093694123",
                "237678393373086219349830989167858845677",
                "294140006977598084728951086656400517236",
                "38108127363601022542379971946605195935",
                "167903864693911109518795226604903402449",
                "75139311641775082392811574350645001643",
                "55264126436737765725967515508572193653",
                "210783301792950814855707706270233586086",
                "15608517207243261593569112600813214287",
                "219306471080105483835401016005178642710",
                "1318469668880871352114606813368527597",
                "57604756930879794206157037998918803674",
                "272590397707232081432303967164329797589",
                "96574944754007432604369507942097760230",
                "204909155839926738682030752957504892084",
                "182492107887114800271114814887254963767",
                "317812018003533782498273778696335160931",
                "197166878638081466131830279757084869503",
                "182751122682570182263640647222930620074",
                "212262019105316671554798838057536474380",
                "11302662517000674173069879859032909118",
                "287236826684489892748293615546360520381",
                "166867804922511109835040565692380445677",
                "33417303227309163253259751034619083454",
                "264285649631310533041843904840652480674",
                "135110844331833799737990055290998792710",
                "176816027085892024206149479782420676812",
                "21000051635485852837550380100958310907",
                "104610707678099255450074189221242786496",
                "20270433730877010594385230417293784038",
                "339513738223931531147560435828218686322",
                "148965034395068804099439552026714747415",
                "238289944804987562602973760425465788432",
                "7678481165317693258148117283479557138",
                "145046545960369027292862036358287757311",
                "103854928999755971647759488329496058288",
                "33195158399792901243991299681716044687",
                "23571078175724355845591479685268751232",
                "213125058738319519007875169526016338779",
                "66940731666536091353711922103750633220",
                "192217813156703948509796450540034398111",
                "90081713231359412245317226477284450083",
                "47664678224073947419018528842573607843",
                "276514344746245681199572442851427782275",
                "14012429846703681483114895697278258226",
                "273073747956589638890528581662993225541",
                "114115267196707572684848334973983046844",
                "60904280443289567116425577372101678944",
                "29922777778230460299143086317553844110",
                "174276091819161606600634155481090372328",
                "22940403372532951194870354216537993628",
                "263158561298600646740394974788831674713",
                "60296462466643168315217649165251110792",
                "238511997265980047161773624777618956351",
                "336574283184315339900375140592643595070",
                "158062554055206722790829722439821188258",
                "101890398163416710522376330803876574250",
                "123605415045089715736931045398772166073",
                "322141853017323419807011902394783843041",
                "94580638286524600231024803635083024256",
                "216227653257184521020107310199280477984",
                "291550874527819501259301979588875657090",
                "65905147327603165980247923471617245300",
                "198987259922926445418357456155820762438",
                "139156396006032961895840664356352242651",
                "47864400358070804379783432494068509686",
                "130818287671790596647911969861966072901",
                "87828086167224417916767424719124325905",
                "85771595030695013905089329877877269177",
                "145882400905471014073719519190443972206",
                "263467883827278804220206359888677105817",
                "158371463541829860461735658022833037167",
                "184777393191354204719247901002036761102",
                "315173190670558545269396909703145307616",
                "323556780956796326467753130038065833697",
                "28644073664125719800140492028402978721",
                "233276846086131707436849639395723002983",
                "52754391342484674950399884238374627886",
                "309845677869795803765628226482843554733",
                "9637451478321540701174966886605874657",
                "208012124249098572434485789997780266149",
                "8067733034744126816162451068320660878",
                "273700665890201062462547261690571791940",
                "143525439210559808675844520168736997217",
                "315609866942246047230209339528488808726",
                "137570445654244097076912894713149490759",
                "71680373254815749458076979551299000178",
                "119630337527789338266565972267494560102",
                "262964387410567473367549652031521447301",
                "9761534934382062306287492631363946218",
                "184478524986009088392879722202441684080",
                "244211270293479018793407503531279962464",
                "179698928482196811421196013501977618027",
                "150326098433783246457207603449069146410",
                "273447129868128723547315320705333427386",
                "4999994903551096542974778550849579072",
                "262284019930550360316311621274962893818",
                "197495481050185952112010539538522154808",
                "67209653357678644649757732224088438176",
                "36563474928593728558136128818753564389",
                "92415232002945198803120643075578551088",
                "124518302749513681592115281000501204663",
                "105817616773278250968370598046548936268",
                "33395037147451004431438645372673788346",
                "21912886418645916023394909801571159500",
                "139644671359681603666263451195906145183",
                "207077441455547004327942776544511911591",
                "77765769825273920580376394600005352510",
                "198975369442100730342113637752329262776",
                "330748210786313917526434790818811646461",
                "122364391086075893976717613344204640389",
                "147390852406738577930940020464215170089",
                "54246828799522178879619668337158222171",
                "103900085087457046979702726327445491274",
                "288670073321363970493066299893450486587",
                "272453263123546835699878918328178622528",
                "224604467225392151696653403744723996344",
                "141993061751511905112574270087037874965",
                "337375340588853477754501486203896986857",
                "302452151507220318841223969601785496176",
                "175232139735816109760062572553435418773",
                "144663517011461475442663710206288652171",
                "130197117731227129507223414220639854191",
                "339393443632391429090165538707223075976",
                "311447570265249174523017028075542780088",
                "84061429184274024774267993021251225277",
                "109205365159390801074302522257037139335",
                "150522908712001015376824965824150330346",
                "54874549536474536543554704663819258347",
                "110757729190869767112999398439884396593",
                "62186415333709535200555906256636072704",
                "8899909651674123347025102418822789656",
                "310105408974082952824017150906197846225",
                "98857785016701044558983305553029186125",
                "64827363085058968425296474724728468588",
                "256332528702674052322687975778055522380",
                "56564356228980187030790268547465270140",
                "181517521855849720775170272346091218068",
                "261392108402986901500341507682524096447",
                "233909480438723101735175179492413278442",
                "174261957754283840238024894748263918597",
                "67249768004783209584115045893251365719",
                "28050918522490247804900963512568563027",
                "264278651003996922776309795539090797090",
                "321957821913276731364011769456829799520",
                "172370617940886730512881465313498248356",
                "315177091335078878740725841757504699125",
                "136350697784244788188434691537131020337",
                "64766017310499228333748082657374983464",
                "231152061570863416437959753788457059955",
                "30313089335280156831389187010468883880",
                "99453009436962393358138628573041273348",
                "330642563198974829420148775273466757388",
                "315499524790070492092654330637116458111",
                "146901174665150731483201440811200235068",
                "18253055038137791320465195885649707056",
                "316238031670293089152370596281534704503",
                "43721846823731137165294562714358017194",
                "8247214669182856639414515211259819151",
                "301473057209317623384239993493250867460",
                "149720360998207021199923294245923902845",
                "231326995747843866526040345118839660544",
                "269972434098149567042486955089713158051",
                "173338128705351745441196981470341286353",
                "273333007193302515494048353992018813248",
                "69688912385212929638041311338789451397",
                "339744286687554622448872001573306996097",
                "273348923663842028073130924688450276407",
                "126077098613255397663905238020355281349",
                "233288525777246111682872352414565173586",
                "160991776038944423245367629501918336728",
                "92233476300534744648895329481158625281",
                "68436740854854528552341047719405735710",
                "15876570887485033793611873925510864840",
                "284414858764071064855207456916204224459",
                "332528528903760789185522066734854668841",
                "301228188008584622816131287177424319165",
                "182400277155348702527135982145132389312",
                "147408652058416342416617794777525767737",
                "218457049146252282040130428372238372238",
                "267340592765147280584978752079748616894",
                "60957467569524053156512539477565515184",
                "101750548812169614189934095943430560920",
                "153026533072280924039745331693188239476",
                "156907104173572876451481441048373967306",
                "271861496671978758098071273189949645142",
                "246269682304853368598438999331811200469",
                "232149689045655392243481148159942958207",
                "209840596811827669963125705707384905326",
                "290640584132957328187973770603565776773",
                "123438702716300727825631931170864503434",
                "154866876288369854437503857408945916515",
                "23918601343803664812092927029739919325",
                "152222141865228700992104004951821629696",
                "139267834116327436228626580723079082294",
                "323156909322173556701387343328837204495",
                "74368083314316829991082805850607051009",
                "31366966484450631295414163661184418325",
                "277409143349423949791713341414671372235",
                "154193556688701748939009519447345200061",
                "275285050344738836677371373625093722322",
                "118747257126664043763291090670601675077",
                "217144536314660512980693778848013695703",
                "505160067740972699642293880832696605",
                "34643806073694360541240126915070029228",
                "108999434506904030392456326989560798026",
                "85404386387790580056551764502526650796",
                "320342228281880718591737607545499954363",
                "62213956938467862337335908138462226266",
                "30531331693339183768545581922906683953",
                "106256913892182614864214448651712231719",
                "23559286053878504378748237067717377255",
                "328997114630416190467837439093051102421",
                "41981735326695003889203050955800874721",
                "300501090772533938052560493376064241130",
                "255519732749180753423397895378904317444",
                "218061824125565497401040157739452910214",
                "226886898981027424879835497949821572577",
                "319593545868527493198739238868086662159",
                "117351253389080204504227777014940743402",
                "171665439869452617000219441458108686174",
                "232482298321031062778674760976223263919",
                "121407585621531093131468567359654603160",
                "307289167969129096238573626924154990772",
                "302344080176855161185417113720268035428",
                "273630658037429536644107989818495964045",
                "184150885169856113603527419987665294756",
                "124883166139069113022269007539845661314",
                "303669370269559155961830430686348826608",
                "27717882849794656799707309729993309461",
                "200614168861033101626417981187232520558",
                "278571102932569913277398259387858900460",
                "166600024284000997386307143670655675075",
                "42306713626074421634588937282247138364",
                "320228387320461406810223816793414182098",
                "74285778819492246253078200333115850207",
                "156739788374105044682559250720857379429",
                "213817347483876234577414010702967820415",
                "288346395017153964635678352667739328374",
                "301656891678027599811858523002688318202",
                "294967239145139594708342305824592069244",
                "224151703654892606929732460165175969759",
                "255882517279126974079540697166688037548",
                "201622752839044849604691656943593800079",
                "284230015973321168118065585694758231457",
                "200127241314740133390906970889020040453",
                "230923683521985646603197112211520014640",
                "223606630490366245624095049907342167689",
                "266017154627590357333530601522453858542",
                "73670950746113600689719220742059478802",
                "57475212074262404099018939733103452355",
                "140662124274102730118084163257659589274",
                "220246453394548182444337782046189335676",
                "305136225929059118179148382868348280228",
                "79279079897984315947689236878971164761",
                "56861948463801161863558146519971883016",
                "209488669751001412138497796763216297001",
                "258804091353718231694021440557652144033",
                "121248416110510069106209050609519116470",
                "18989457944867906848622363019193880337",
                "63612189942265541485376779446758969455",
                "278497365420758511571156822690148738767",
                "314107697057121707351951130705694361029",
                "271270858455940005304043171050250448569",
                "309037076512534314809129732915463125752",
                "36219850066967108050851983781008904523",
                "159224426563607777071035830131310539185",
                "143529160618996056807242996300502767925",
                "292547488694474959717245108241852717850",
                "303110099446172688868392638129474765467",
                "217858472061003319014050946936059394716",
                "245559676844565113714897250653180534892",
                "307398075516971144119743737315900581626",
                "48060047190823441792341664328434393644",
                "136425827136804295493774210957752847589",
                "338503468784530597925265238231869305310",
                "20962891239188384577488465818029584048",
                "269885701748851754265641304175753643256",
                "152320550140524132694532498239754592374",
                "191384666342000313715505411837059821854",
                "74946539012381847767489339981617825366",
                "26957690857184433226120646143589821998",
                "215259446361768963899308264680331103928",
                "131430052334063218332652948759934504865",
                "141768580198920273151735512782168261391",
                "91949282327771282346945703776084223388",
                "167216039704765348579240396399592422003",
                "242506436873288993499920208695709205513",
                "187242094559842664640013280248728696004",
                "280315093478711972986527777356330449419",
                "285741880985639376391851844041473668017",
                "232817067627525119547106486617627260779",
                "274056713335703120386715795185579890510",
                "218952234078882594263935125362425431523",
                "338954779206806163082135644976395298060",
                "331210775148993285690307242464370747620",
                "148268418349112847895561316427664338726",
                "60451209331188477338208554328208281172",
                "117124750789557204272697867235063221846",
                "4383133588609752038540483025870641648",
                "149292928974180524498184126256238280390",
                "232365244074936241038704886838709968603",
                "17179016464639018006555380577497795544",
                "242473375058497034154729013869278885606",
                "54812753216253440868865234073377174757",
                "312334137769155575505650198791636892524",
                "83382634641043945501335379046842508501",
                "128961313681484397187577747321101391104",
                "58766163565261301433492866889355917550",
                "258448671037651690834124751683340757040",
                "42007411921880064215550952057368970165",
                "232314956083867642337064743352889675915",
                "87298144454582585400554607093878063497",
                "168175846580516011400962156963335439350",
                "130140646236875051840035480040642898921",
                "34991156307204354641707656470094023761",
                "197200095776983396086519720543149996263",
                "329748927014049550565067932339734335533",
                "167601389275485520277672940621093342732",
                "171841210798168556538539137823506133843",
                "317774569650811278114346326324315353712",
                "126098320975068773995351581221599338633",
                "266069040104026911224700446361256687854",
                "335665793481878241105387251857574496528",
                "267487542530011468754578520603193431035",
                "222900983709407669620045655839839115941",
                "61950044096902339700496541368830810037",
                "192541761328730233044320091030759167863",
                "95870057083603955326948308935806706052",
                "69356158116257385995830442825460591452",
                "311747918146995958377367171326463977628",
                "159523941824257002263202100383696393509",
                "129612578072644943820747726501355114705",
                "66182887625629681017532761357202239908",
                "278808356170628641244498331160213180563",
                "213791083272704899344351798683489600918",
                "25427310172828217020712313995000315971",
                "270758926509685137721184720691463715760",
                "320976609332601985890637455692759745814",
                "75447101632782768750732516502404924386",
                "259140209788346556061739890740351641916",
                "90135039326123901147250118798828100323",
                "238557417331913858959215223350990728914",
                "49461816901942249472039315680399544216",
                "212957914370137660030679403090340767496",
                "147345040757909495907306842919337004729",
                "128141836680785299579210800776204563497",
                "243740474490609877755999333192498107903",
                "230690501003444477112890668876121173872",
                "281716115893487485863094831065583240329",
                "27751503850242474240357667649163454379",
                "77068012669574842326269224157963971648",
                "60959618947782856237706660656074172243",
                "173289691468064924608549379191834907602",
                "2126488446363117957847585844103181373",
                "139067916416138312835326711416766832971",
                "8623781962732057280088516156098700683",
                "155454460027717595224973849773660685860",
                "116740317905288036410918175245692926715",
                "52397412771651715977911620179854634070",
                "314634496405371116333313210053995025179",
                "216819344269484405487939068704589121145",
                "130464795144882219644097719021405181927",
                "184312176481764029124410114893746708819",
                "252448008152179560911807017315705663541",
                "235929085282311852820240812704835817646",
                "332071111522476457295585256772692453399",
                "338149627643193822264933697093118905064",
                "209248225645848636012368277779503321294",
                "283052722836358595757191306442346527894",
                "198009740412346592319663815840237133982",
                "251709712598846148793256905053118400946",
                "94650638376192816224856276900290159408",
                "192948584791576171228203637560716107482",
                "267620161546607905247852136036567868308",
                "319662063548886833041113492227023235104",
                "278907461890538186871532500591445694110",
                "308753899223403470399495919191981271043",
                "110447614544571896998564008786793025372",
                "178469674772231396269341684200746392683",
                "7606665531208509479637899265487104106",
                "240666078325554040475654403306244495461",
                "162443770717633984358767695262577305018",
                "43745336046276513780325842562507881078",
                "154806606347036680560558835547296791869",
                "153434499448111339168612650563230237082",
                "10016867678444113834913280899251350709",
                "205046748171512653006165247563155827985",
                "244976313640062129100150619280443484461",
                "25962302440956232948799613348354581253",
                "255731826258068546827681460763473858710",
                "297422322877243226338273030414551223529",
                "257976488007463414845760658033006666185",
                "31595110884555142434791495388036906504",
                "320422272444172729505527911791844687834",
                "339551746959897938534619216886153600747",
                "170458114217681219973609646154518623967",
                "82867943575421204677004776522033062163",
                "87864155213959702004319957909251481253",
                "115867355131501935373778139671684452721",
                "42653897216314165450231643946050052449",
                "79547213449378162987948797089470822293",
                "242680801736794494522209964315004129241",
                "198438059769908208780376868227992887059",
                "262121241103281849004034855026600919844",
                "196392316727150913884650756258674983982",
                "258476177809080615760903015677714160213",
                "302946181876208271568259768653145233098",
                "310902315400529359646654884681358911587",
                "156841864431516479410983368949724048727",
                "281070381426008646973588622240882668080",
                "18072058469236114203050263523886534682",
                "112748478738914390999332995318095349440",
                "88174937292040767603196811922349795564",
                "315700900552686852672923698299171845288",
                "68691510281172935256601900692682417841",
                "126488006851478088672027499272778944317",
                "208438525506821055949795210045824915301",
                "117117165494040350320251922350862554580",
                "164961036715223396724504079466683758868",
                "125715834867184524652984967295537599420",
                "57150338974067193155587163692177235225",
                "295269940836400162415473747422966832635",
                "172941312146274646506591934592830690546",
                "332058358055798005759208675533368786019",
                "92637164793149399071839380958597585540",
                "321230592790530757919055777931109219277",
                "175070813796545997794663897608007298808",
                "263937191415445403521910674827363967867",
                "65038841388754087670417186898229659294",
                "37033975775440054195908697634334307578",
                "156721164318207030948862166558234543146",
                "210142748812374744286673518267740944302",
                "85453058716141827467221573964453006426",
                "47319955161904238742547387656547814486",
                "60858519754374111757307726300685515254",
                "139437577042051308207619167720720694995",
                "32225411892397704312975076328696601182",
                "173796698958875563060968463416464941607",
                "90235341062788261514859478445705115595",
                "242174590358020618111488870019472825987",
                "300162690611739827618440327406780901936",
                "109076157015154580115448920178242002703",
                "339241207094069260816381387730817262467",
                "141913544517960338886643703619787341211",
                "246734035742721768290097024092578839819",
                "154365091333613284081199665149344103350",
                "19162289313917955893285420672730710779",
                "230987980549358056706336116184717267773",
                "183341765899872755332260336695949969025",
                "249898258160763857535418377813937140435",
                "177419703121022125467565594536576637966",
                "168451935322298137683551196475516922865",
                "211651800991089765571963948376123548010",
                "58430457475003035108053911140731599733",
                "258006249720310448652913841648532759486",
                "11287922380398157449743213076056472469",
                "231147390420938701296314480277949645105",
                "63302773856337678673467307908275184311",
                "30705775614231477183835382720321416034",
                "155537244880196451141335746416492320072",
                "70588371823242654353429206650930722142",
                "62825985125866825131450116864411995636",
                "204270700101115349187186007408930464514",
                "186707240980216985905741592622094835570",
                "290942050430766399301907424393650864960",
                "171477133631912345228899589132416869076",
                "58896157174929876706980768309115737773",
                "158571146282056040157420544812258207354",
                "164199720665217013440335020522935131459",
                "128890903012293046842535595240743191056",
                "319704631070820086872368271759806393550",
                "6538966384533492930779682859532705205",
                "287217816234275299096328356950283427474",
                "167111146010796268801499606221616866855",
                "36293430689331906957774668636351925427",
                "240432799535420444879273295171028548006",
                "304437573316130157783250453688381723542",
                "198022314097227112157991834024135078938",
                "337771090813048604492103973655798256054",
                "181628167931306031878869894051588841507",
                "18557492818597763911878550508434918279",
                "216686381792279145925018502315031060782",
                "297747388417668295254518224176455490091",
                "266914134760973868393500999488157945775",
                "77285851484320691680278693300488247084",
                "74751311156983752422301873242570274168",
                "295434658866976167413304469007050341481",
                "63417263913148275581729148905469151979",
                "225992530228839606785568460916259273723",
                "251687845656178475279236345344226068377",
                "191833684514585355420054473698650849746",
                "281902547166474719536195846028234218013",
                "330909417578227756593464974360894716922",
                "125833242847526755588801207378383950535",
                "62680013065483414291357679907180574081",
                "305551766078549690790409780138702697160",
                "102570172667683565722802607688233944150",
                "228616011353925198031096949375115503021",
                "89587342854535632594173238309987327513",
                "132164515549754566149294608652323934811",
                "128025320499128098793388150715435966362",
                "262251085108247298630727367144097646369",
                "315131169136013368017485255497411902629",
                "321803147677258352156895599512790376535",
                "307591745328457377328699809736617320622",
                "174382292449020686341083392766930457719",
                "91739976385485274850729465795958475016",
                "231632366979853274803153345446507956434",
                "82320647487809621124255566486666501052",
                "300307511157063324986462163835683401443",
                "137919409216542189462216581920241864635",
                "257276370337585343050545999599998557986",
                "212783725727287545863003627361822953080",
                "255098582330619962597110255361563640119",
                "274986941407630127529714104656311344936",
                "243364697863429342225610440882758847936",
                "282563089324708677819949561030497770556",
                "183533828081872365266675109389355699381",
                "58016042202787187033801522209870599010",
                "994829697347594817715776491404042212",
                "89274410903337403787794539544972601963",
                "247424037544043178859844210246915134271",
                "60224269615608190879825573086384478811",
                "78853414676352198435637187801023855474",
                "194079859512310704753720545383363113372",
                "159226996509105055854010967754823665234",
                "261164969019428619536593451451275812074",
                "99166752138499870590965273133341809264",
                "216962188614966176288339984709141340781",
                "28078274481452262327146419442764883543",
                "144334856333562640296030077793060381019",
                "234459878889344806378800001425928987637",
                "16418513193103703024534387221475775175",
                "36016595857113295071350672923354810398",
                "102421003757704442982489948432847070701",
                "70767918105307314381451676527137080236",
                "248118925674474988171339989118119091073",
                "62957329041941350834560072884133233419",
                "170008913825696929294376912308477097157",
                "334904218266051559805096292377519496035",
                "227031116627484435435631564196136254006",
                "14402657916630450039755612228046764779",
                "114398073917303158690587828867158615167",
                "107745791353432618577218903561892222013",
                "22223342484306144832029122269490735647",
                "207425685470482902748628012035806134643",
                "91221113132173953920871300159095240824",
                "103776119413872311764397672751413789906",
                "212783130707468788337546450701561971231",
                "173528194541053886373535746912212017208",
                "91384137896766661806492647734020659194",
                "110072511879471464514830055687933695532",
                "67431080543361730140962801433420716100",
                "44539038030740315959833084588585147712",
                "125267593877841848827490769660993491863",
                "107491171930305346323923026865764434247",
                "140413173108139008443274669022665002382",
                "128825719623605658151050174751837062156",
                "307339988192625456448712791329072724288",
                "189192844926629114738037235210555945124",
                "265856346897881287118834048401430631114",
                "274313012392725807356923207311726879772",
                "104297398879147075512032554866390515221",
                "195857726152492901817090140722017854515",
                "53265494012956453102624508170764092352",
                "262959471744194388165026617653437404850",
                "99900495321255891666768649872961701265",
                "179466429826871406316764510900395302718",
                "318212954251807783735471991687050559306",
                "172406605084428805383012177961308377887",
                "104224363024981300962343985738744778661",
                "73566066126130134624509259381625640225",
                "46734414744342396624205494864839812603",
                "196255323952842149183976990327346177930",
                "273094368153468226049754270084941853070",
                "280620909836602727749069460419942495480",
                "185478281036370810294713484435329468962",
                "49068737391331802259420200348634053064",
                "293717707416840805534413101308004268555",
                "94889187377687218026214268110281363760",
                "166965188810914197478645718288652695069",
                "150903714585393970519439918412979586384",
                "88378697321309396393488542680109565244",
                "295566213717761652677579466555821821717",
                "110520663855123702644515894021235883579",
                "168353914843310503621554961718867214579",
                "191366176094563600182581284310886331834",
                "30110139062814937762960858234446964276",
                "16002924132907197231261051088535002956",
                "107611396187669920029094851908736078672",
                "307384389688923041175043149759846384474",
                "185504447126327672060711653031737904563",
                "334748370129537958983630079696249210795",
                "121033779703796216165296196014263675490",
                "94948368327102965393500673117978594766",
                "59474021884686737110659271966077980793",
                "180953305974656774764466246670584281382",
                "229338350585718573734930876842221114340",
                "333258436700282766106080007318960092420",
                "276604234840962218854133287971738048624",
                "237954781587036870352289302991569181856",
                "218295492073670331164900707271858519705",
                "37248462089525908194279145821099923226",
                "250576145763310554363976408021273409929",
                "76322875578221698666093149694798099181",
                "328549941186920633853555288160453235127",
                "141347409430464879028913552825858666730",
                "102493452095146799330871683537940473267",
                "171375494314052386668833336290365784876",
                "323761017378697545773850537096219399563",
                "280101809994657449408561150268291828692",
                "164420852528068549821400318232218388637",
                "310937011036012554800560008519551943646",
                "210002595494169662558196325544035477529",
                "302497941793473668236680302768977622486",
                "218834101943041399603340284542332592176",
                "25702679801458718015678683967839567510",
                "202005513111958271172035357895042842966",
                "190275157949790981917788531804003795704",
                "249859467509761939784875558037331037007",
                "154655453895358032105668987548970198261",
                "61683730914229036345867038952176171247",
                "269520786905497342096834951063940852995",
                "183985532368468346660818703397966520117",
                "78037162724122467678597540630662459213",
                "175326163497124652250707342503682680454",
                "302638246493120455235916361521455620587",
                "306715581256188546315795091022733149301",
                "180581176139792098741408213166955693226",
                "77257207643635874577894033575232125303",
                "88743797716443100840519307324154820607",
                "225655230226729115858368425863585366935",
                "158156020394764836159398893150674061254",
                "250854064328289156083922924690502731704",
                "85631126089904775873732439338055066286",
                "73673908585455677564415424404051906964",
                "199238570111521404559871242349563491253",
                "20161669200978911558281810986336497837",
                "239749707682753730544105540246906152478",
                "89587334994889427965200941830479939121",
                "116317781909593155574031337829396883220",
                "127768431083639977574068386948730541619",
                "166771099642694209244437796293530724777",
                "79792015700059030911953262689804763897",
                "122162018549269918988801296891265287015",
                "289847864662085267886112199384632175139",
                "117813221068301848895207717561973201123",
                "163537355657008796145771894539682947496",
                "237083317314889594943014721098473508957",
                "132919229977957911078663479370778483987",
                "188462435755985721141489545480532110906",
                "274217956534722966894469542357770179542",
                "46566438036277332093460854790420077800",
                "303415398837995600824598195438521842504",
                "140619609167000107706414058816619107237",
                "104498977545982326547089634647008293239",
                "99993736101700024483714284945322317337",
                "86213528656416186924883771294691716586",
                "271366233085765635090508530690170590984",
                "140237432121814607553317488433318619131",
                "143767682052874878920084839810328414903",
                "79984656036000639868780415835262282687",
                "297690705034534568821861198146029951426",
                "307439219305615298453822452438668310422",
                "222819938175015140836306489660078997954",
                "335365058803692212035117216183940864248",
                "155989926664656503453831067792400693995",
                "7686559039848637961952667724724469953",
                "290157908737304536718178472268449185644",
                "154215188786236926684460116974457486107",
                "297855768590777005745030542465358867627",
                "91633391426827557524413494601760588830",
                "334817645635676421221511196443177502544",
                "155223698817825531928106461602329206494",
                "223972188806601641180907815060209087609",
                "55651234875868662201441078823339012984",
                "236562959884908222452579950954188240328",
                "116407220855825276520016046670190250077",
                "128899864506126851176507342794291017187",
                "47119929834733704308802046103777580758",
                "328855956715481518791434490617839836157",
                "264956097596383638210900273843389594058",
                "155906918345741111149847379067283982205",
                "168612446720221303802927879520383907308",
                "298920703479661360453569675216845424509",
                "168666482007427398417045422629219828387",
                "191203627665753990149879236273594079296",
                "303200207557648104164493735634571384434",
                "179925295705341023283234532185614214313",
                "253311892867807007528781473014132685344",
                "101807919329568584293684274769269327435",
                "295540761299293881108203420265583505012",
                "147350079672533400323306370870139895144",
                "88750409932886341254546586135396724268",
                "228234000397447809918490618442068798184",
                "129882320233094151678073495769599549159",
                "339375845989672297376029360329116227534",
                "176391892233720326681000658506741975304",
                "125009144550937140455203036596597901308",
                "274043133839639510737101416543321519292",
                "301492555827363885454401641097400945924",
                "32929731542976226259839401569701759963",
                "188912282917674886496354319890699841592",
                "177079163799753305216417995133050749401",
                "97436407953624584263581923723190907551",
                "160858402046194513532803713973761962542",
                "306744645898155858163444130530834850627",
                "204599101095030166696083303480045762559",
                "46417876399308739840380016551513884618",
                "325953333467285364319734629305707556619",
                "293092526487247722034813998312789536140",
                "161245405106422649651202878923998953500",
                "306485260844940758609566563892936420983",
                "187123602935813758770733932159660718180",
                "11477251743553850775536716800710900676",
                "218168406461513702873179526952241612204",
                "66131653944614277741099079024011183968",
                "34380899207455640266559806314475348125",
                "306820633391995578460906300693922728947",
                "6678490811062591184588884288479519344",
                "215295970269881448226238080732890337994",
                "259052848139247101691824310638136158834",
                "223771777117224580608297682875271787803",
                "323469771007950464267550905524007874586",
                "170401988188750214223695010177125010752",
                "244201879010018425935103186614911915569",
                "243899912451464340824803759168705945866",
                "215363993266673284633591317150864358668",
                "190921007289670274087773554568473534269",
                "12676751704178207982018052314721320440",
                "14825581967984569393498331575033787293",
                "309422318650581920960608194325608760769",
                "210466208663638399498934329531441482848",
                "269044176921400797236795854926505170499",
                "6123983005070212557598136431627289144",
                "128950836493673798565238623552603920189",
                "74422928103354888785682465338229384871",
                "32648765248867420309763360776935325423",
                "16100476413593516346052062007338231205",
                "271950081213411214127898476252608358541",
                "95524536781361448482833338829152854377",
                "134915579215096892119639630599947230466",
                "58627648440997502715396808958744098689",
                "226929826604100766896026716490496118672",
                "77509114328382245995451097464371909301",
                "59481073982668098210410025752386980414",
                "269413869802973626654207727231702534702",
                "44607916011415642368082837094226121839",
                "242010112505133831654812117384307087988",
                "192588837140268503102714963222841419811",
                "274718538713049235040911689464400992861",
                "109185473776770613990679983407414977632",
                "243731360813923035164442197469087787183",
                "164152393958144376534158589692881834900",
                "309908959421489320620298206756997009865",
                "37072894074673077742628701399024149507",
                "83477392463945582294512243709612406177",
                "329705405182668532188212607591480472988",
                "27299558105071331242858686398355383171",
                "335764157953066655440657217496157652750",
                "329090082677615662578034561538978780056",
                "41708354669945007638184775550890835319",
                "209010491589379089136821892212357719230",
                "76839764577266191060193216923783069039",
                "80450505035274200512101723328801765766",
                "49963445080861539670945320620131653475",
                "109627637433549602158796661221724844976",
                "45126594745213420623539433410722946392",
                "290623726232331734084019871483237936878",
                "3378613300411866718528237290636536307",
                "15310282227426804640220724177410331156",
                "132526111488923018275358224444238723862",
                "308926397359055534411280540403920051386",
                "106724162886895108048039093823841630606",
                "220937571978988818044336333547462004494",
                "249270508820855215558644213967087508777",
                "113912920233214394713976816832053366552",
                "92034003816130026024500377831590150103",
                "1486190778953042396716905951628095700",
                "295223271869552952488464595918282520030",
                "307059286326235780122854172922773263130",
                "104201162195834822956249521329540346695",
                "106291520624018326759924421801975638398",
                "258123672776311124674717838417098267009",
                "2193630653206429261266993297519284764",
                "162531445409059582896468610108025197308",
                "30047122040002055339713330582987398457",
                "20125299023883843755218402289149405225",
                "218830001747802098967521524838337470826",
                "229863368111925176692297873243069687198",
                "16957279428912591941019071940700950988",
                "321178648834175356244793274546636381454",
                "120376938427510528582742439702452172458",
                "285904012100797499448370982358897541471",
                "146588224564153180792720613409724139978",
                "207895543612198650710668690231721592852",
                "109550789498534612071488265022252980349",
                "62324520106018836910295122825342656373",
                "81485883785533935784921897529951620005",
                "128557466108748093748374481252018195662",
                "290475752092825315137729311325185959038",
                "335345914106253652188019739261207695108",
                "275633822652922258693890070540294704733",
                "217194303955709106626570422466543078458",
                "117162703563518965171456589098872014503",
                "102635772744752295268959895540276717746",
                "114561834299684695206419470156866593993",
                "62733894227002213050751633154713092540",
                "331526764912807737454063244729911708692",
                "308253905950525901384674554920708940469",
                "81283984118006229681399416445964697381",
                "249507986106852504670195033550729885423",
                "98562795422505777649979783833200263114",
                "310110360466851330420052949206985974052",
                "56366975685067102804200200231620985039",
                "129414086036073475850177278669668059869",
                "332142835724075931199994787326304793109",
                "76540415842975931084827152998247683196",
                "93063535338142197755784537935472899875",
                "113771927133702694768127947230655576921",
                "120330763217854605920826956363486018925",
                "319753184844255311589796984867141838100",
                "37981309976015524241423107201857168176",
                "11490853697053964310469046372853309270",
                "179446870589029556644957385224770812195",
                "218022200176778431693969402134196977714",
                "285984339381717271483653126089539259784",
                "284062621253471685660390156843540012886",
                "191252955225856794867293915458182163208",
                "26926115290973280727409235104733770720",
                "43811640643625828573496982735951169365",
                "107495375980398106058272332970912886817",
                "331244014817108483172420405665837348037",
                "254164224541102177252533394474091042476",
                "48200761206894772672388597456737375877",
                "62827881085569120779271466074021754000",
                "94409755759980202051246732906326166722",
                "192046945684218990259375102092709645219",
                "285573311137938042354535640007877619877",
                "282369431079510453489679884141424727001",
                "43297264859619354121175554471709355402",
                "230526720459125683612420176359379317887",
                "75189638745686603870029643409378362068",
                "148379064587864990701503396847603835721",
                "8272863763517254187746449184207991559",
                "88420194898392652526482739301377326021",
                "55845502186800451946630696092057923504",
                "318667936521745898401603058739898335177",
                "281842572142415162695615216607483411043",
                "257312678014434209174395388865261105686",
                "306253187030335665732524042079129454273",
                "157295656666559941282603727146253098654",
                "38386198577126092911296334415452252292",
                "9504613810853092885523922191420422388",
                "274469747770863643701672728616480753466",
                "101876294985857613761540411278592705214",
                "135233223153090230898200138630745202499",
                "339706114683190776222937483472505315223",
                "160700290497595003290368515793327683098",
                "268323044815073503873303221916826376637",
                "94559467154831048609207474462888004426",
                "303848993711385775345733931162441490885",
                "323241352392061660555070890007334526814",
                "139775143519167419660462902731815188271",
                "5134764079792069625384789986846242649",
                "195411907031032286979752505171544012536",
                "255746096171775118889808724133535688823",
                "181920321417779061902608875378062426210",
                "225640380369833157346033993190871288328",
                "44885713409958843143632691833003066639",
                "332250450552093308965209605544206513068",
                "296893826445031911582620461965419168678",
                "206496974070673985894898453279337876424",
                "279386268908553410889686084080786500650",
                "272101475917968281454082569892897566638",
                "256704618307941057305638659525210117538",
                "93501819550161709703864413728330361379",
                "283926833393932482767617267582796906311",
                "125237843416590489136965649974201447569",
                "60868912439152863823137298900224778501",
                "115299936703989172065738174652989675527",
                "80421358511197011576476339276535168930",
                "310520615643172986138631008792810082528",
                "177430543066137664767273494352862808929",
                "205498338328641638988151635091331315524",
                "83216458613331679388328091859475913318",
                "160654396497854319835576687980863828248",
                "171670456985700312265735226460308827913",
                "174244680308617067642501027672924480251",
                "178802722161467072984283924066336034447",
                "2603987891469528457558568363110145100",
                "271792466569845870068980104193121157033",
                "8204266616829814793116051047293439331",
                "15457169213439386651048822939457464188",
                "158036507895862307655169012734088915932",
                "257236471862309468687609931735457441485",
                "29905747593585211600392273011350411165",
                "23952678469536308600521577825642093296",
                "70901029737706795741428231826313658389",
                "74699707950208549673886692236340592537",
                "197365593789801154412667986048263899574",
                "320501929353173562608421736684364319798",
                "147557936584292293921369935673208083451",
                "39239730158578235306891311838978225718",
                "103701514183147055926009494075996318868",
                "263790862614814444850898532813984332971",
                "241818179658051690904186529706396157664",
                "305324502438921696311821276509347312748",
                "295063042576729268870100440420432543119",
                "299244773910477923508369648696068974860",
                "331399928524214479461507982587857178359",
                "303003744038145122476120534269303597855",
                "137574459769373133068177862698427301100",
                "70474193773872577713625955483028841441",
                "47443185077612353145079008428213848652",
                "50678899878018472733517288871363219386",
                "62894824909538042732680631313668844818",
                "280175973463451003797991020186857526608",
                "276523719254707481367769441586630194536",
                "18067711479853261161468487561578546063",
                "307467005771790806065723573963622687590",
                "227547138276460558504040465086029570880",
                "70738324721401102244155304170437159006",
                "3386230908032890930314252194466827982",
                "90335237834603129752052785144133004815",
                "320803990573953077497323154861051006161",
                "211871894518739708494121910101923482374",
                "132628160833874337052156623122882707289",
                "317746007997693095298129651642778513425",
                "50687600107266149438110200967743346305",
                "130986865331395194535174301707242841272",
                "289732081592242180848466322881685819466",
                "93781450418697851045729726496820429835",
                "262087963800905548520929824359339812581",
                "123264430110442550717145276755345955993",
                "272909915540261869542146706035843001542",
                "268562903063928841346455199535292001081",
                "217930040302335886028419004077486614701",
                "265685586483129270478926914994411938322",
                "322213268608075901179012496583477482858",
                "253489304397503719911202675916464065259",
                "308191831264473133929378949602944982987",
                "221627843543444341470370243830708225439",
                "263866698579561829744401169567149325076",
                "162492797021776965551729487707026788573",
                "20442118274360994118670233202274266343",
                "113424131825498312191964068957050330941",
                "302535801901237104807000203132049474970",
                "198243280547051868070874452081731496929",
                "168038350977884547953292943912026682374",
                "226987307153713936329439521161761706075",
                "38129443534503889591498832711771927059",
                "46744545015538974177705075788462814855",
                "218975155480556793884476240636565079773",
                "96231658429091147105092838025873796240",
                "187384073281170810119719457245425764721",
                "311432110882000389128265856179419757769",
                "180384143615445361896598136162616482537",
                "166597894047793064971687507480583450235",
                "248805863943433006760055141484195389363",
                "119402504861174911109120919700673434393",
                "9541486673721715666063284519178605029",
                "21666089048208073297425640305695126360",
                "97652048509753048388126487189896503788",
                "106396119012361762597252126857984935014",
                "221644196937926992390819842112601150046",
                "243695245013750264114546953294276607930",
                "250102505621331848145943157138053848009",
                "50901847069121508507934590676565242422",
                "10954480135296878667893964153895567130",
                "129633629104481491710966216192012245963",
                "237869701362886736862748658459619085123",
                "230073364668441275794991629233617084992",
                "181084099350629264656781475067858836563",
                "190681566857817221860073350212167038939",
                "331079932808511366964314572026511125401",
                "102329397260622902615030716460160490830",
                "43089526764786372195652696346909811277",
                "295241678769437821871256863215247190477",
                "335381283259359008538956103203098378714",
                "335333405134161179607395021536390798852",
                "240078593704503415786932083462843703447",
                "169128680648428773429481722278202528762",
                "167015012820732563783324472216517417041",
                "162443525649685755755196824387616407457",
                "160981082324683940768009769875402753281",
                "83932052930825733065389712519150983010",
                "181795554046007254093146112842717267962",
                "79058177768106058640281874212083958439",
                "110290506213706765369423185920849971363",
                "282258098094046936619651933170353340506",
                "113862539998344939779900721036071011481",
                "80381590185166402482605679537059507993",
                "292872993691185398037817447771410324426",
                "172528862223987258818773794849730341181",
                "123372344868478741588959470181657980067",
                "29888795267975293369831394964101118588",
                "310509295990175549239235478620445554632",
                "242152158254828606246995237187014468719",
                "26001322962325247428454284627626067398",
                "19642060018228817237160141085173726907",
                "294306029317095417499850450616194596631",
                "98682652175457880552693660464525217545",
                "154352944503417733600374691071366300865",
                "235047261392760043188571365549902665939",
                "327203431906567731175093418343915225978",
                "279591015499668236540655764757445666088",
                "129593842350554722581068691359744753107",
                "132170829857491390522914804252679128983",
                "93886422423580600905705979968396361710",
                "299818578412121539174771964357877328801",
                "131746179224731834001812656287868987980",
                "78712416070881820183295557463708292777",
                "282189199254263027899918221883930837197",
                "230740242447366343281825827981793867225",
                "258394464676110050395499748366460603150",
                "61624532779552120572005337863541996169",
                "288772519857509669856830257412749638640",
                "40396634234734988602153037075265701161",
                "323264056859204237363821351227831047345",
                "199445390253511835103430164087103400538",
                "197292097897063101557930771561485352238",
                "97180944754254428090810869677585848417",
                "177770151616466769900998430061081198205",
                "147473592611272182015018377624974178036",
                "201621344265527214666146107981031485364",
                "209893365838282197661208898783820086807",
                "258465872702402982651658052078085106639",
                "194972303113840354229731131702831241290",
                "164783958145950497701306386523781500421",
                "171924851113049394836149820065949086531",
                "167284269612784721582276943001766067374",
                "328027023186245928355019317911468912830",
                "166396805764302084424880775868915332189",
                "336626215874682080397865207111167830606",
                "233313128143402015775918921584616642879",
                "79491527214960576500802704792685943846",
                "305142908428856149436137345428221923283",
                "312008443220752106324418326378517730015",
                "113905523452832965812817726386490714592",
                "69026511397857672855415818239212277756",
                "216137011144383218736601350895331204629",
                "76312158830161744341114919169312749523",
                "148273576417040197194875264859977441011",
                "215479926945110832683256107826361495442",
                "19095592346821989989428164960029278637",
                "187232137171228568452970088493173682569",
                "14950135320283149027989186333964310293",
                "131519807077574902939846086191075426461",
                "246646000723998877284381090554431845905",
                "221472069319325628625472880636177976060",
                "187578856485008940125558838686278258640",
                "37010102814525781633735416046304727826",
                "334308305692541137103726875050983228116",
                "60412120259958238393554291472696078334",
                "113023033986379806342414582985667728505",
                "116902242047713017014860546751889970794",
                "138090444918062105513806353660976625732",
                "70740423575265712510591189131025342460",
                "235440801181219263815002183271357534845",
                "325459921433149513987757147951430968350",
                "137091619799959905983786513972002343135",
                "87494410619622023357619865612483560156",
                "72536926917281817606184943053042675883",
                "250626422455842637847689489392428111747",
                "216345668111867102176559629802587642115",
                "100570917758338512470197579882787840813",
                "276037104051975354807001625774811108012",
                "247351931619824959984350714009513053372",
                "121209786304277805295576893662305755978",
                "99684369893006335393972012333622235607",
                "327829586787279694600597334436330664307",
                "247760031805923479640350983150361715378",
                "129082441967171199405881823344778769963",
                "74554602305219577973209318258951126741",
                "139082204560339787210944536995812924448",
                "293534052105508371913007585553828249866",
                "339810901117935139674280744220696774671",
                "337248943855482558474137268387613383823",
                "43980271571697942007840858823367714924",
                "290999174136426479000954291892733421284",
                "180882106564716233832157458194991781361",
                "138307882226928606764672604668928823850",
                "44422226975571898807909792003158692710",
                "239861418166238740928137236992365230438",
                "10018208360444110109868385807572700654",
                "223566313136068979522506128068309186891",
                "86725975981331323905672111086385560190",
                "146142892753610957568067151028858431328",
                "169844970268264420776551120308728611846",
                "313773799357144797140611452904476725716",
                "192295189611780755404200724891887128463",
                "217482921375598764139580442992008879253",
                "302324981976714145386859154390468932236",
                "76587584650727073480418847653603999108",
                "310170797574253182320236563732142515657",
                "299587793756899391063331573901887949968",
                "55507351530848882392973041134790088392",
                "265010062983318309836744514092813717600",
                "81983420252576160843650724685371960198",
                "177968082164478782300609004676839313101",
                "22072360582656104637473921635141463480",
                "146868994836610921066942985986523853483",
                "117023616889825227598410653303258493046",
                "226253251887088875668994419326480624813",
                "315738133364577750319285201130206911327",
                "89414360936553285671574574530847977616",
                "54791016349908342198585842504301350983",
                "138058947321834658372583901717210455409",
                "137582806341685714247041002509462594103",
                "11265070382330609012867352815509240755",
                "282540456969292765321884606615905752726",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "8721180651204100667315429857371246921",
                "289867924785462217947109317799573105162",
                "31915140489838329114207385283770263929",
                "7743957975825287943700766545942108897",
                "313841869683154375774376621800696744678",
                "10535312003248852117076186664406309905",
                "258216584037207471000944023236165725243",
                "227292184560416769029683574468177267245",
                "277148810235323124404695698455382197655",
                "218872809444161116137368154702910101210",
                "224550555083974007460946627518344991949",
                "227127478973271533405044975860190729227",
                "169653169386094530775864067075242869383",
                "106189455558573522556130212442703542355",
                "337870245346318225945463503390815997537",
                "223845459506773133822525705347573816941",
                "212595177717751880248216046043172945332",
                "129746514153058088348995692005629568910",
                "186323206592207730657988393498409548036",
                "57117963595155776632466692639000282778",
                "15174880430914620597704632913065448508",
                "175740319800766340647166180551164094817",
                "312047254604737854698850749821765964145",
                "316683254722376336907919812111593007719",
                "119602725435927859764922783603568731619",
                "161475133408816330510594484753958152014",
                "240813882592971442308547396818050505677",
                "32830801480024609524212286193213290857",
                "231168152494156522947412466670550418154",
                "112188521250995076342491567128194948155",
                "144688365505626836889813057596829396485",
                "311944831182200996741738144838500418085",
                "74393954381833189103223871793747684213",
                "111488240777160491525506062734515663817",
                "220146821628406817275432122227888959240",
                "13166126100216305804069500170917028009",
                "283592568339596224459895592664356476778",
                "27668887000619597987166831261632613400",
                "244733005040626395214524341284740643255",
                "12375566305609464802992920752760552564",
                "71531081298815619561635610153151754150",
                "281065582018844425679890629422273148248",
                "168242664570745084761438242605783471714",
                "34695447307038081897156185822904399151",
                "224591665047469202797089127519984486386",
                "102656177659957709985928219486838961484",
                "115257337762810397876043387244840125060",
                "260337374083412464988041145044660035698",
                "319903504522726384996613157027470956804",
                "190023930054644123415373682711043853728",
                "12683989098686950903283926006549313115",
                "138496254939814299879739518780685579941",
                "194208453814406893441705720381567778417",
                "70323217755088927087813644855168168807",
                "206413027839832728260437872926431056166",
                "302152008800765311056813522466323092182",
                "255275093939675429347203368969556210798",
                "174952737940998995545692588294176490935",
                "98372376204233501574669401213829991618",
                "41074289431987229782503920884300756006",
                "94332268419552237243503709467588997941",
                "283512922956848357544552882768908116726",
                "137861566373960441888304514845090577934",
                "307969559688805515674107228171641161976",
                "142934198717881502172437665430629005578",
                "254410548790579927431651199609350451284",
                "270632253010549120828868412101973908935",
                "19454825319809422946918949834972481617",
                "24212760411432696682676469188202966712",
                "335672345984988130761261767531833072906",
                "41592432701109309348258179102457174697",
                "48534252657399842295346027344137118136",
                "309750637029129296837293062398015593182",
                "101921133414279640384903218672777417371",
                "254763052067055122772888334010639002143",
                "108672423546671059284925985799673389866",
                "161068685438797742751184657422894217599",
                "230652785162890351465253448610742794872",
                "202577276134230406143083728343632658537",
                "277820202990883775408156146388688793558",
                "42483915730698963954356985002920280492",
                "86090791170027340952883683903104250733",
                "288100331240772318645087335397262906392",
                "103439902214865993348753204597322373458",
                "333637804318422291362725773273393089932",
                "303032918773233877840779627964148814962",
                "21933388123632780911234921113951935570",
                "143391046987270609101803243802282451521",
                "92275759277564707475205118537026487167",
                "33842925779293981415829839991000053751",
                "309959512797508382447289976179287414389",
                "266883566078246374105145312841177576676",
                "120427661245682972631759036357740849281",
                "274430954086720257457847951888674196245",
                "243007078830708603735702701332376974533",
                "231603524499976560660594664155488592161",
                "16778956361287776868653025860113691071",
                "214229500230465975386272630849324183382",
                "189123035455102744918851798372080334402",
                "203568482472698444112462343090864929728",
                "29731947747772144534170416604624380948",
                "291894488404930111144050285205733301090",
                "289122236707562781746933894203983888063",
                "92844643141245927388050196779254495731",
                "46877271436529958433423411836237133679",
                "249577571960317342979894163410109068905",
                "312016333423398745652338243677633720622",
                "298534195450628018248079589411356226058",
                "121398562339029921141997830040545689331",
                "264734202497094599919237159276668724454",
                "83181649909817081358999886339452869254",
                "147102224228811095888450337092555638194",
                "312560184401530011425080061706693208431",
                "54080051763435367644005909166412599844",
                "240410660628288760001360972147348127593",
                "213094359206544343772514357230349600259",
                "137802760012615839700692415696421752779",
                "111723837723157246332706154733186281049",
                "94681251612835901065381620598714391641",
                "82534318939736711053672942990607011939",
                "196123619631135361335663426979427045675",
                "103654384502396830057236622353205346932",
                "335076801122055362457988534126240240089",
                "88786283340090960239945442891424722658",
                "325825597872018910366720504825202270102",
                "292081429825237060139951047952375325864",
                "164914140344331378997512430883506514922",
                "325416157342235879468801576471660015267",
                "157579650886166706925218932026151553319",
                "79881655076190634741061142986279149730",
                "182005891538763914771458477695993598441",
                "93447761994708917984890632145013791297",
                "44921041203831844825345782741597165992",
                "76329520123801952619460417451204655678",
                "159885000362849812456641865035601556173",
                "308485710258339607805264257887241936420",
                "233820989849147760775341635444179648316",
                "293510524872010319015922277072933265676",
                "141137942218638711417171631348956182016",
                "147961599676921813452868894036110824253",
                "179068124426051707394280749277652617305",
                "309795614125272189292346223464155072181",
                "43930546713711789404826319498730428307",
                "69208670019164070226421484378066933607",
                "310782500164043667828432226006485171018",
                "159543540108064722587926700910224203782",
                "217589078494040631860274786793160394057",
                "38714261872404482522061564420007586394",
                "250266999244042996491272939577275181348",
                "56150489670078785328749604088940596894",
                "127390428395636516549034018699425760352",
                "270742185948491176965996694543546906511",
                "194094360437723605264409764210910943348",
                "278443321824942448917430019287265837333",
                "48248489131641776660450586491488897603",
                "131234559846844721027842801067975435748",
                "142992508210747695633827670639793218244",
                "216516940628379178616525080381754847502",
                "243612295672765777344525159646345161636",
                "69286499556440109189370854082937357852",
                "33674634206041453302101712829764126702",
                "323965951733626516236713243586612351729",
                "34910289380018878000062529457541745526",
                "128348389065293465685835542687643077741",
                "295883230243140818563427990025916899029",
                "68166283111431327968551245793236449003",
                "38458111473523382197664651469190280450",
                "307471394647730645841830857743895671484",
                "121463295310677741261552983420694459554",
                "245278366374200441773623284901095722498",
                "158515221409325723861769137436319490763",
                "25865652482614758630660328784261457723",
                "154768488897156337365644735312471834238",
                "223368070085169206938375794742765082738",
                "4617414294895371345426201631075164010",
                "184258462736061391724756223536402225737",
                "156444318442901404025209613295967536337",
                "83155228461600209706573348022178403879",
                "190007500173669390179418480785997200751",
                "12681012476683721583969413873300929549",
                "38300164305502584757511536521645519620",
                "14695341871164991973802655320640216111",
                "184683638367847853630070352744901987767",
                "34151677585454217204156183183700061367",
                "208331726102749736123215088497028336397",
                "178311912400811931278363239655182224708",
                "303263041940258439123351760465835805030",
                "94586713309803294725943512271082177258",
                "336162480630366070944842024474348677268",
                "223963933128833337406661471588700234057",
                "148352907220248149453791285479080612348",
                "228219165831939302704830442511328026813",
                "3573182135553334250801576646725325561",
                "223488647717937623160637033552456758067",
                "229670197213857499126983326117778947719",
                "154567998676625647266989747244152267195",
                "62262391627677396278437837583475880850",
                "310754849182163235562897390100311132361",
                "159491840551171764239548564428238466894",
                "83868930298488633294630526304236380396",
                "176438591561274832836948871142170865694",
                "311464566804986909080147092622676238461",
                "66805512390547835159238826962384753978",
                "171800865534686602393903063226377388830",
                "144178655118204920701417721830122538107",
                "48766594819838609608323673399955556410",
                "289909497902159376378818717809304757709",
                "137568245088057358694367912924254587689",
                "127834090620590439662371489586511726829",
                "218758081050448692174928609340918217886",
                "62458132003875801856163503713173587290",
                "44908730603075274776689200206638694241",
                "235784831851048808436726046049982660933",
                "257310102330356340644920001536002707927",
                "338624316347225475075194571618004721337",
                "223866117339646488354054338021868143994",
                "37236237716851726563621660926751261955",
                "277446385494295198637235787951754717124",
                "319028130537924889492060499033286922672",
                "80152407708945646384409689339162788367",
                "100823423327667563639682296209441367361",
                "81315457921057228257467995800243662174",
                "329740320322835590152689463967819999008",
                "44614313702008167157276810693028145234",
                "19578030703483792071766669746417337461",
                "126581810386181675639082767550171765494",
                "21384673850473187495664259088593602744",
                "146056162620500324709833493416809473539",
                "107648415582733128023515783100786301488",
                "227377335732853863508628034762753675619",
                "311443073450894560512780557312962806626",
                "17491067019750977816062819734887371918",
                "56716430980857266979881715159390356149",
                "121682998761069597675060085304043493061",
                "67971356520829055205590277916894647971",
                "47036715221162609277433730415030790584",
                "273726084465433158321143577076354849255",
                "110746430048586154708840204068775357196",
                "291903031861526592186630840552778980748",
                "318860400292845460871038308822166789529",
                "14083019893023761736561119138313155100",
                "80370530857855145691009452140872003708",
                "218528324289289687248529752312304911402",
                "190245428964140581685134229375360602812",
                "164892170939569535157159622020375534657",
                "96094400326289343922978379847497933354",
                "119380708720605084860344034874299243520",
                "296721678075119172548337275065189593263",
                "327013436738606830130070102266374615571",
                "158246699794467685580350028570537876342",
                "13318518731877251477307173884225109756",
                "156337612492536308352324085016968870644",
                "51909026291908510528708388839852500555",
                "325272975504169499851265536554298773242",
                "39330548764536893765331910818812969875",
                "78061248860024901110836239829237324122",
                "23589462433082377015453749158136549355",
                "14923731141954953279146830343658417867",
                "335688079429818733644837701910825302600",
                "210376859121863469077910626522276897820",
                "262652654699825955662114458252684056605",
                "121967639987823321855883074773433208734",
                "66354349846999956335166987426483696017",
                "114161493603460703675742371343592152576",
                "93138425816211083325048960773819288134",
                "276108216068025084803083578791453154184",
                "290434534376969837715161386329300553448",
                "247714790443864214021809869630883663501",
                "310786934769891252850176475101858392734",
                "207965566089473416455720658429666253074",
                "171987881517896337710660960823203077161",
                "106188267022034727661618988171854579039",
                "5817895320178005716068659257921287775",
                "121615378836273786897865165275173445156",
                "6023258262332249300075242236804583739",
                "333991124065538645303096394844477845265",
                "50298948181261810737428083064657753443",
                "61429819233392377371650100327274744489",
                "185655331324855886675167048269595119099",
                "128716749799515311369334957077742755027",
                "7600323253872846599554285723053419639",
                "172322987026682528323071680133202761130",
                "64964706347717297566733869727810968593",
                "164020168780025474970921435745501428025",
                "189183907630657584076154707422344153841",
                "329035899922835285637765740402122812320",
                "106393559164880815573874678264164639220",
                "136183247061044675107521067462601391666",
                "163899616836525414259027786345576391859",
                "91581210773411018701372701852598480191",
                "260881324649968437435436692517747676133",
                "9613985894190603817746050263003154119",
                "47772467378246248734055692230389638788",
                "297746521497574501570266062051675247983",
                "211555821608324912474951236530212507315",
                "3970715042007336762697577828361859793",
                "255379384724793067677460352326736510645",
                "31268457343749829927942737833911632550",
                "157136398400275006574175056406002830849",
                "320507691357168325703456229572212928991",
                "339193940029507223534991463061669719902",
                "149471149355028950678259673665734763561",
                "113462568165503545828640797151202094356",
                "16430530148786102952974056687957137609",
                "277692086911207418844851175624410042800",
                "162913959540631764926006139930249570879",
                "179776969916905841259434789648297146299",
                "249156789837877495264540466269704240355",
                "255086187005334129733705332073543186461",
                "115590942990902220608180104098790434763",
                "71735464399540536267733924388346517328",
                "148429146559295394827971661022552211561",
                "130427707825818130865857505990020345386",
                "275448714990937160295611233644730871238",
                "31912739861383864988259040515050481244",
                "68358588286427558048324588261836317848",
                "280432277228214555043130051602529365466",
                "175256708890473134812060889641452635719",
                "122012934047011658110711060230257939319",
                "219020844545610402558111725486903617815",
                "165500598378695930441402380480211466231",
                "142076782192272118776182610068222100465",
                "86876218195122971216663311901442614412",
                "210594265688846587053206317379981718090",
                "113314537328871509303996983919744571793",
                "129293743506593408968063996691288934485",
                "248395654860744370237801326344950497342",
                "24916910272140562123303483533476561449",
                "39493758556105761874415158297519056160",
                "204519746192192574379514164167335666777",
                "147322996554205575220890627889786688104",
                "111779592777536571072680012933495175535",
                "90980196356998563328418329826299249124",
                "247512742303234725734264446476740232140",
                "328650476510818200380690830048391154437",
                "150932943794589768055651936442288917486",
                "72850085466174873828783110758199255237",
                "320558869165688066387828724665803356755",
                "304356276573667715134215348587440177724",
                "308922939444644750837808180395854967182",
                "220979828611461636208938497757696392480",
                "84165664572648078369657176718431189873",
                "293773554323707316113396025532080498250",
                "131810780724296219888490502398254316817",
                "30689870049516884279940213895657406884",
                "221548503080094008453539999928041078653",
                "122028205992017322899723371000150621329",
                "179139598911216457931364557715038953488",
                "198707649404746740358201576875323486131",
                "297648364749073115399562290711979860563",
                "129194129475668008989844597869618281347",
                "76915218985361773186705175352032253302",
                "234830481619902322879407242373200144146",
                "193121953963288203091229448254489802761",
                "315532403383543972911694028324968678991",
                "244886726608543282809762817724158787211",
                "145207525341028568950478850759402064640",
                "234297422362633203384232102471245620599",
                "242146502066021297852787075478328280149",
                "330452107919018309492398417877986765615",
                "290900793533238108083873899502050001344",
                "292430872817441342843317643705875557776",
                "156945563445602410087543273994975616398",
                "170153635702130912228743963869735781775",
                "145104330915200261953764786863693523567",
                "220634129410633294797581468365132175757",
                "125174960967569449410212646424346081684",
                "92328110547215394442567499961927939245",
                "133480199996305249861396875923607400389",
                "175930388702592576874415838622381955492",
                "287649239577955536011141741003225414690",
                "175641582381184409866351155253056540016",
                "71367210616046384245199183105074082639",
                "258818765156161520877454793862983046673",
                "286204708746234868695316391131300840343",
                "254134436456559715747741145506816765851",
                "182573101515194202430175397302277399091",
                "79315683382258197429987145841423113607",
                "149831895781536676765294362098055880451",
                "141976953144186825627720405774831793356",
                "193290806518701872017418367732179793216",
                "210803001377814857774280202537500479971",
                "266309693601355943158827363840417368107",
                "102939948985115865198983707046469580115",
                "318670303320604436837330840449624395161",
                "13683281248488617543594435477413975683",
                "158474443749513695879110000138946388305",
                "55690448150727236076633688808311726302",
                "83224697084199920901814622555792496830",
                "114108396316447384163858485197191301079",
                "155403331985517325480974718472068810674",
                "87771857419440262640678553833945241227",
                "150786205326948990551925095898591450100",
                "7584251200017295630891326640879014857",
                "154018190593947542593816050826343197473",
                "20914705933410073623871821312205453843",
                "225575576060788674854934677683973868940",
                "61409071830060318999559892669195364931",
                "319582210378008322477945896524951668104",
                "162871416009261654683477771455283469019",
                "737055522845877333559640326810678593",
                "324909524065569933211315911190618997678",
                "336131604834233428047919263555052906777",
                "256109641688541175625102724285219497766",
                "110525265394429342077192490352046729114",
                "34364516263900145208263210672909235014",
                "213691690854861443931040378863983843614",
                "13739342901872315078043796212526242310",
                "91592388783005182852687984626095441607",
                "9280507573239531621202810648980790812",
                "39738767190458385855457461385913071276",
                "19305755679510628994160928743571561995",
                "234212760456035104485112140001542450251",
                "8799402021681227442080635636001805742",
                "51806085652088051416648277815507926463",
                "3204260475617932704781611328583642807",
                "221060446589832475472140746857462588747",
                "114861492960466628678045913456931545021",
                "268896647401439088256067046008431586695",
                "67208509615123400556577586907177455809",
                "72722475297666682621852745764179866165",
                "152574620836561761479876065910511017328",
                "326733237153707877833197850158412441127",
                "102318923015450400217576160975374576430",
                "192238386977097637311317210345486152077",
                "319434989249385869135382845342500211768",
                "52632014137877694228083616371989236970",
                "218205245166425063414968813663389973591",
                "236832967240387297652753277387003971055",
                "302783058867811095882570257707147165571",
                "64724945135514876780787723937721901455",
                "179107751987122311621229305196435230957",
                "101930473017943065905210480094776613782",
                "191274025968091592639753236818187935766",
                "244252506439596015706879389852422580193",
                "13287301369002178279835161993197931949",
                "69213644230968825839103685681001825091",
                "256808583586471375974408822784825093901",
                "1160690919821884321356224038676949556",
                "248141007754089637045442615878945152084",
                "145522234909260020874407383616680815233",
                "49666842032178386959542951888903378884",
                "252163122111467362533210584420325769573",
                "16997099979640754249252158815004313305",
                "320312745799776312744413218328974731420",
                "31061028637768004020098654685435159448",
                "50653095594514252520158225220878631169",
                "267176273536063135632451023946624623429",
                "214292815399867945889587179881813113644",
                "125822459976451642901095859506919871717",
                "124918766165086358322186281945597528000",
                "59150633470989280590608546864604249258",
                "277063180695096830052997358641836784126",
                "112796157577347130422250454894036924166",
                "55445816354275045547413192873527483772",
                "320326201727988189389303929399270043483",
                "260890581775783781115113856022627358732",
                "4441747012811487054310441359956164757",
                "326006465954639680582500422048310434562",
                "92760290351738273087424869374872340623",
                "103160982625213284843079240122070199231",
                "193402054077011727555899886410218540998",
                "177824339508876094252166282399596557935",
                "256556336110109788615838288744898147185",
                "329648805809075490439457770962798207002",
                "109104181349434472870169700381256780285",
                "38009111099119000434297853633936206832",
                "246931582253860555385653502633538537675",
                "162481349504887055462220661956490774877",
                "208825723403164977834706369587159070628",
                "87934201154680074159898172797553101277",
                "193426457081098506314627749960415612773",
                "245449037296017805823508683845568759174",
                "97503899901924575383742386684506303757",
                "88243679459430667328674073272411346292",
                "188566670919649606546628341610997658747",
                "57529441281582737236849741816180911061",
                "298519996391326675971219778141248537708",
                "161136667925431375599728563274335595995",
                "288573434938249238930761100458480321351",
                "126078177035179591293323555486570563404",
                "282951265842797630429818246328417635338",
                "284225803631826713726109663744195970473",
                "40451910893067643649149146437080294880",
                "42075893239840685779340579218574115717",
                "67988093763549521569668793629705599411",
                "58192508235206937756737298753257354117",
                "316325193464086662272554405368193489098",
                "65512821623465752341870519409784020551",
                "315881511834993909761860082959069770363",
                "51644093819087314798579275733219290603",
                "22563255304714440147766714234755942690",
                "10822983146698691088756795080559907914",
                "205512465191893221062463964882041304795",
                "256502812434865736813607257371738008454",
                "226356696463690805092442151762010625645",
                "19677119397549344281674573383154176813",
                "135453239819925330325633237105104404326",
                "96735068098233855825234406088195947946",
                "182430793342131141863976816408050109423",
                "38422163285022112294478991375098100961",
                "116993753086822904637759927826177889704",
                "126627642676296559365756007859411529840",
                "117197554905381885511407276343050502042",
                "302379508179491927492800582608180274281",
                "228192299925089480903606611985619330457",
                "166944157818241056267459053281457861117",
                "252124394330152630409187565206988550141",
                "103603274213731499898599143116793606576",
                "302108892218398890987667291319518618860",
                "160971668871828875398925592097434893151",
                "328830134925442372619452688863849098557",
                "92577265650671417937439935067133917845",
                "187958477867674069396602984136619204967",
                "172275616630029613053966170459990579572",
                "126408056854391064636445109344855274804",
                "193905973355490120524303723893629995978",
                "285098257180031296132973043958211649245",
                "200468737865281958579812096334830946740",
                "300160588261094744696611520699046153519",
                "160350578869699725158476556585993253475",
                "314695610218206485282480385925115094362",
                "84826845680813821472972131757428793565",
                "118820251693038052320380576292609741197",
                "15655804151874089239948909060296463409",
                "186491479652055596636627479429511306670",
                "265274844404038276946740099243634160626",
                "265460320317203813502476957541748228051",
                "85810254649021352087127221343702260861",
                "169264787730083613236772142968428970539",
                "65722361308443277804914833370024516572",
                "257327733247337974566528347668261882548",
                "257343558162291741958433768675973466471",
                "115521046627922712784241099786340981723",
                "269780979485907782337766631593714533478",
                "221395794254345786389151354433088296714",
                "269655140610612624135746373864490361260",
                "211122197762239330201509079067079432591",
                "236649484267422320129440592015039379388",
                "207736559081160503127446248117493643762",
                "44854350663971512046265459802402741919",
                "110540591022950805840679878602955511756",
                "194269710486654532216458797805483366282",
                "178344725996471414018269966633187878472",
                "304745556007768641079512353940697543148",
                "268493218860930890772400126695222663641",
                "73708416616070587682476543573583161575",
                "255284697789506312639429897866606058104",
                "132888011390686625344898786470167119079",
                "96917179273891946886864392840366762544",
                "141541120503852422060966691526744742377",
                "213918024983541170372916896378022544780",
                "221976775565345250277032501477430112345",
                "106349985371422171030354574092685930105",
                "325428666611018779083456049598644032722",
                "323603834979597486690551385111745329979",
                "134740404742977765884001289114829503776",
                "3954985439484123915037239811169760185",
                "64268430373940756282353598735685462705",
                "58575878614649137282643253328553084711",
                "181851077217124522763584450126380208500",
                "165500993611420805544774204361912162481",
                "170015468503693492522139267636125646619",
                "209846670963814020321599079497438349922",
                "265757299010665619826044882886005768593",
                "266371587508567606191508711200628865632",
                "219064158111115709384533719034948699352",
                "311463931381003226530173528219662086851",
                "119131235900975767701367948376635934815",
                "83314460733032675769061484163070025291",
                "266601746903529676712789046433874760479",
                "33054433747072943214221345422176053027",
                "60887343511034150052062136727327070470",
                "132698818265344146040287561123823591141",
                "86554740137738189854166986545652169709",
                "202536550150545359357674400204900631146",
                "176447497226678537892649482733271547966",
                "51183806825125990787164689183627228336",
                "177737768365721161536011777703143822990",
                "200827769629183057340753200670117782754",
                "188324043033503729508365416869921949617",
                "112371895720641884944902466164141422989",
                "147355214646301208931059678186995870369",
                "162014758047076646324970333840564418576",
                "247946955333544891687128712349396033484",
                "72276653665725878295229483432677874263",
                "250615760254151787989609676930701899464",
                "10264686840153312234697591367936238398",
                "241844516575304761062610190982176200226",
                "117224817940996183508925395651353843703",
                "190992731176187240337663208809738399525",
                "10829702728674724310024545078144047320",
                "33006341221445899625001132642687663634",
                "85823693547821227981819961136979944325",
                "34169966903893654056957581758443635025",
                "122186768372912503943702592371155750720",
                "48402726625995289541653558480873538105",
                "134180040574436311346879902091849404388",
                "258294626107711427896950201200776345656",
                "184579696988728841184871583753524094161",
                "116296243794555798382371607540586553019",
                "289074781117311369967608249320857683816",
                "294618638185150781329749560745854890355",
                "317487647569897132137412095951680315883",
                "331569985358742358590285412963554773262",
                "1594662436164856512598267794944896722",
                "278905471907813711680147633821294696941",
                "8226871381950031509626806074250612879",
                "310915844973726505840030066182694397664",
                "22584155863317987929368368586366794625",
                "97253024165262279137877158112842928673",
                "213412829117956587571320231334957837597",
                "47661912644915751994405458496484644331",
                "109221668865032966174524730906483036982",
                "201476274049723674236607986061074587804",
                "73799064362095107521434932604456573680",
                "241171975020064117562371949175841049570",
                "585389051740155191847751431793512298",
                "202375181512829960336443560825018953814",
                "165931799473044710256186474144905142342",
                "270122998453236064422833378419351432237",
                "237597673154077533462993294503151072720",
                "23544219481614834313963180768296615373",
                "277228149826617988702374779382475915014",
                "56586753816327792698359413124080267326",
                "146112954192769105810087682032319726376",
                "35198201116289888397067316207261808519",
                "104176991740188846784500611842553500194",
                "327260235630463453391640628061501157791",
                "96666525123433876873616619117907172416",
                "78806042323979965819466595957948758288",
                "115529239866406535539853464219208065134",
                "81721932636931675071981168189892132243",
                "245164203742694393335800483691956282458",
                "281162525163446571975547092024742234981",
                "230392455439537342893043584985664173396",
                "141131874203302890873704899755217874376",
                "63535748547117386637677314162493733853",
                "290206614978069101503532454776161798202",
                "127111349474733147174265828018584848314",
                "88704584621126990497752191517069091011",
                "92020705954532806801149503961172814476",
                "97587203720387537198371321187859113970",
                "130208114142246923473613065052031640032",
                "274387548651525580873663029311020963264",
                "249335695598439195036416827149877588667",
                "310342579830924766788508267032263145392",
                "54313378690648757746841613622409408939",
                "279091241272766396910952000860067319105",
                "78521407143191071244084565512015234174",
                "4458503171475346881779996275406246367",
                "69566910197115683046612944277172550432",
                "206878518583989832345393834771238794987",
                "43188593779572717522706091832914618887",
                "52712152671432075988656914833193976334",
                "329726219016537518855952194541225338292",
                "294401648128277409809615136099136991378",
                "97185157191872845165000640353557864483",
                "200151573285818774755046487556078841184",
                "65059667396039466386716375645745592075",
                "217863408145483975282571620678083675193",
                "332850057381960882832475112547123276395",
                "58324341863412547413550454560418632209",
                "289649650852724723400221087359487814276",
                "61876773156914016369524009715009754392",
                "129129285840108976418565488718518641503",
                "181487204159333831662071246636238375871",
                "264507814111291923857116484730240991965",
                "112526985773553764291348551351037119170",
                "233474394072569022092400327267478156115",
                "269503492757471877255500923936096230998",
                "209076867266191402848347227237039005396",
                "160770906853670921198027989242187283998",
                "308573010017422347577385052209672900251",
                "169095266443129593143493635983919793680",
                "160961469786363663984466171744231941751",
                "270134428401815141560259968558183216766",
                "329262989735148620429845699246116904838",
                "111840677503545517221941869214677597868",
                "17764053212845522256120808353365540818",
                "286496833048879925655490648291624165248",
                "304976438728897556997935333166756924634",
                "124489722382604512849159343520723250141",
                "27891064876753800297179538427145934546",
                "316692654348206773769151076984217813392",
                "27968627992091267502030854112480502444",
                "319021146988705327975898221337755587766",
                "321586480911144344661789355568502207503",
                "29471996999122865661217641069051832773",
                "269625887890517730741160023828154859511",
                "14461891067016698390056909526874605469",
                "1963284169463429744799348762736201939",
                "96181726150613780767237111899922521167",
                "207726275710200477350638649237935592633",
                "61119163934050434998201785417578574562",
                "80542703467444993776220800222324433275",
                "310338766502554878641879782735905838054",
                "181737152824640861983289147188175842189",
                "36287765506215595949360081691318038859",
                "194004601096610938909278985908669414364",
                "338574737705575426296711503023185249079",
                "317287178557465037756791765388337291442",
                "235921895008206063905959330908188386049",
                "302059521627269430684197402646921327723",
                "242060084661660524823164229623914931507",
                "5792149531485340842360937730981519378",
                "64998447674047548968696132424940027941",
                "233619972961463237170261666952106895124",
                "70526038706124739613416168390424160087",
                "285040798038866134484938339464996231364",
                "114997128187876902353388209957782877692",
                "88231181469588874026704515633897922086",
                "213480384106767387520229623181055574026",
                "294056262501533940300134812349519543596",
                "218470396939949185578693075948190943661",
                "92577623227112435735435818437186492678",
                "335018354814737470815598001568439778395",
                "134515307818567572240961162798174482256",
                "275052571185615979664223160953850288879",
                "167808293510627366718115028070521696342",
                "195190507614974411669104998069819825078",
                "266612694977424438401287617706533757212",
                "154318665039149678328942765213625232511",
                "197976239464338539991837158539016165572",
                "201429673477351779524619930406019944620",
                "113689043443884469943989839479073912916",
                "300680039867213684758589464605907143404",
                "235811656216341598860202832453037690265",
                "316264788500147884595256405623806297380",
                "331558211170157023092393890861512982458",
                "111237107250511906103680838051515412654",
                "179238211838737846448595960438135791205",
                "218680006014670531450761037804340944554",
                "255625223626558216292060071037920874285",
                "254371011334724104373080964008713954775",
                "337542822055620203160354625964641437368",
                "61909464345194323043090695365318009576",
                "286245093808569036374994512604871057749",
                "260837860039724915629565282909355195431",
                "275592801247394378036808822777494110178",
                "145050060603904838635385749073803966429",
                "160365457883714089513287433209457732578",
                "167041110708571641295454464576793302359",
                "59196015580952861019617924364219883648",
                "263677425138251424477056302623667961194",
                "289940660996943011832864455643740606431",
                "2927660384174494014672505263660032889",
                "193742959276933960252422350492232904394",
                "247064113324613159231230122527050948750",
                "19234576026637963707158249697315879832",
                "83384720915667883143798353198453211463",
                "286654323903461419082481105691582502892",
                "334413958542960172342399455231011291387",
                "101168143165461071833744852619006032705",
                "96906999180265065072687076047500703422",
                "84878857821787629421529685705741602312",
                "285029995990765379898830028223511129582",
                "336383757033027159771439399724929385422",
                "311617295511527190814691384739433137298",
                "293627830670252926058841560329561177522",
                "177273059265554366138877437089712139854",
                "274577585408999295874206137749456041027",
                "76057385090223244768256158274015567288",
                "298565680473196628671927762784930817473",
                "6067509380596780308163022199306339563",
                "211979458928961448366634507627302497315",
                "208168623132428277000128844167925267124",
                "72190220973609638774862286884506610649",
                "180361786100445975739758048576985367863",
                "270219136938747998511827196332088036641",
                "298699594894785649123115070249885236652",
                "291578186186855582812215992781456517230",
                "235970031405057645767322972707821177657",
                "26611165607804101880550539002328615161",
                "217900943187370625357853188119266259656",
                "84732059633730627645490473351121800305",
                "309180917264587373634183366817060716214",
                "106603302566009083955204269268983190218",
                "292194608808478884475635126405417049632",
                "7307068641125778183666589487594479973",
                "15973683999811237960674238153181891189",
                "93927924828355380583287636894518832220",
                "227289386863278381309290253855501419999",
                "38698243414789353460065999981946606225",
                "123734761025454826151256213901659704838",
                "184363841910620963597465720099525006082",
                "22497762136832430397408621614206908180",
                "203295734193882941311756798440441572917",
                "45795120538904304541593205051077234129",
                "246248306303708160423048147297675550790",
                "110902607514691391768784065427128933443",
                "244746889311079435396998572317222138916",
                "125170420746229899755078279358383282778",
                "109189189086789358602558830760985071912",
                "309698635240664424550258180810934882519",
                "158080910479927111578628681178377407944",
                "307875064157271347204772481156453694618",
                "182465529211696958573204196922677321427",
                "115097101885558867665511882679553688497",
                "205415271529100873388775115901419628833",
                "161427279281476849461283221699338611222",
                "8067738416470880554959950883564275257",
                "317067371960635112259351190908781901288",
                "319696145905401685875581756436109001838",
                "6048905939231902586358279941834616696",
                "234191261529783461387406074555927870743",
                "203238179702299195798598049373136444550",
                "239555825864301227337938979088229539693",
                "125604448928393017145095788660903240811",
                "234812305588574206448147678102660943403",
                "262381252003632108622700224949056837091",
                "180647961777347234519528138163954192638",
                "70524942795686903739600920796070562819",
                "291858264770923459670264537781588032048",
                "116578446331032555533914773110531572602",
                "69286567879073242502570436523494153207",
                "333288040707465744077169773639356327091",
                "231354873122291076244917114972071615635",
                "50854939773490578897633292564530266991",
                "230873932136875763683054974345605548373",
                "244945091262899912796439794732336566578",
                "167768549152850653531307338835293507311",
                "88933776563195293885893306674730459308",
                "288500541588585999486356297313913939829",
                "158311345694025808845055182860681911104",
                "268211870022320385113642090559789630883",
                "309551774866753191877402069034404536069",
                "197410705606216111679482885174004663342",
                "145663943814564653690948334191534634063",
                "42385091780644625506914227176968783565",
                "159615310202042075565875432934941415906",
                "19262490350961987717135866137034299326",
                "226511728069789660680448608746106099821",
                "165881705243212230240225095739299835219",
                "108836776023866917819133709603923541726",
                "115676952288774225955745322124920930303",
                "277025660796474062679081027200321196096",
                "64140890213781451672404502691241362528",
                "51825884312624995656053163454510143552",
                "97174140501891535636917710065858319",
                "163359655681925139580428631483630436948",
                "220561544829364384485480627210236647595",
                "110192770704313924563589762687413932316",
                "228819277543918391837776635748574977584",
                "243369848396274589164722426801435351684",
                "294447392378018248653356622354446253596",
                "133249742252015556108996377949643914526",
                "151974125717523859839333331357155712621",
                "131874417368130187587697551362380454086",
                "51975767391515328477240781624071656173",
                "19636413774705679651553440297084958883",
                "272119780374075571654741721955440652268",
                "102398697165395262480201244135608296485",
                "300530691030142207620759627185530161772",
                "106996695005438011947769120931893619491",
                "58354273532631142917703204204022526127",
                "199783244028081424965422984519120670253",
                "190591331403990936478089135467416339108",
                "42843417613958468068329444098413917964",
                "198388796120294962282210205709443358885",
                "41816989103037549470274991262762891671",
                "181834381415941496502978989717963868978",
                "33058358139732097636398833980843663639",
                "74848621255526899437299951346364413618",
                "138478834257618946048483156052378379690",
                "327396907125968699551102969599228261678",
                "293941295862472505596928993317603414548",
                "334175576687283459039909285508609663638",
                "82202999603860788280497702958745791793",
                "141035337221513792544558330118819877877",
                "134389663185394735535808106294420555429",
                "328533076540394553277086563006075610779",
                "175308740505337518761325031182771954676",
                "308079921911364477951365130059938278055",
                "239661779876904583332638268787761292772",
                "291142223261045897231863533120589370186",
                "47632099990841885085944459726281458105",
                "282716411308100695351335833153049101493",
                "100446015183364151607762241437899108120",
                "49067495653993503295952676440020724768",
                "132673436111965196918300429778212693648",
                "321667116910103589617174681734918834074",
                "48443683954423433568239358970256408476",
                "285206216251413238028015484349721012795",
                "16847338915369097623572951563364173984",
                "245466381240644644500754445782826244908",
                "268758535220616123621577472984246083980",
                "234162157677149870895641342511820517671",
                "237131523450034532480553130296236103350",
                "142575163807791159290149756412542563810",
                "279560297955964971647851449634374380611",
                "133249343008514382838391609564738855489",
                "25610864887395772447592715925797306076",
                "91463086056217020118346346602352839664",
                "261924556608121556251189388663807138077",
                "327080002508258401867030935622408024621",
                "83411931024677698721428715446889405567",
                "183626897030388752700344651658044395228",
                "173807580704890609831352471768194899177",
                "164652670475625424432067699294770735072",
                "220182463364416532400116615705644576717",
                "12595743719874292682624750769891728928",
                "293047244307290452883053624299281017695",
                "272190891020412126300553338569795742698",
                "313616273476322028970656478889407569477",
                "330573329826325592580834084057573932677",
                "141661881310480001508686729499207350493",
                "160205327728125339980863732674053880658",
                "99473025912123277160122760208343286986",
                "93472818083753174029448157601821286776",
                "187500370251441710692734155575501749187",
                "258277010266595257468621262603615429359",
                "288603939820573590733608451520418609200",
                "1786002333517353786354927920082734357",
                "220183863137385537702364483688922237735",
                "204994128891505594788413243483870655287",
                "281327303345178790682287740928729599630",
                "47750137623410838868390858764487603803",
                "224636659160602627446534120826647524217",
                "105283853948511332877413801274054524554",
                "225599470343835937298469201199652227685",
                "191741267790619721488369399601845330016",
                "175048609256966542942230852045465099900",
                "14998258325618128890674429063550320377",
                "205642863404244358706448779269755942474",
                "117511748760306482536528196752908316496",
                "61471539996785453895263023068256319752",
                "142331358746341960366898543776771420066",
                "74690544421947431785746970893535111842",
                "147770190917837956980229032249548095858",
                "256448344839494268158491246706171277969",
                "162466798003020973639846433142222062974",
                "267393362162700901825930795279351984351",
                "228390899421928074791723378645427743527",
                "272004233139169649263298631682513167669",
                "183340980094236629470924150444279293500",
                "314714041832802528323204641313558679497",
                "336077433291070646720365494679353915823",
                "114253475055630373489872706964756533834",
                "20279523078123711977423429315721099081",
                "11504964850839618552068067687218855442",
                "237773749342712237314381585391212180896",
                "120949595128451607641623035790717329843",
                "157270109993811646942180390843381488607",
                "116106179377241546866471267740017704789",
                "170663167680395449282353804473925421495",
                "104364463245143835489221228499908431037",
                "31368193786628730425020761024374187451",
                "131834300913979584109037422857301535016",
                "68518980040301969541422645298616973851",
                "106064442800047618841437662459948019305",
                "186294964471542931815784191819714234836",
                "284393414495565135753690732156324962592",
                "269573681801128178259715103824596137001",
                "51659794556827057095256726620325385559",
                "308718907833135163087329783822476152949",
                "293624794483255733764057283847583618979",
                "94941901627695225594645580811521295480",
                "149797531634295821336483724605937576719",
                "117712014229599383358442764760147932714",
                "330481872729542615909692766849557726258",
                "260794599734251803936216816907763803242",
                "147218789425844420191285826192615128423",
                "191966652976511037026707908401077176917",
                "230505826940362831439721472292714764206",
                "133810671444236181467896318751709499816",
                "165649576640278078897929004387623620860",
                "63936553860844907573107133136629369111",
                "70856290852756653436226017446561539779",
                "157112156244755845888616628241855261334",
                "119035583987619898591482403602570683848",
                "19397925913040064068288183014533117300",
                "222618994468141058607011090444358788354",
                "47828064863371007995170535054052184878",
                "131732458934408201068948880974342230102",
                "190248461785803461446656818426936712202",
                "319293477702198897510666266158061608114",
                "236002475109426452185183416683669679216",
                "238057827547863694744240798889581905242",
                "130053216378394119656180693136877291072",
                "220201766144449366179967764592266578076",
                "263137957209460487421418882470066544519",
                "91366958764956773770438005091860461181",
                "301653371320767567091166752846711501518",
                "285444119397063173490465567497563478828",
                "179393164599464764162602262054550939724",
                "277769590724335847395253444595329707011",
                "334152050618001629592897741172762072193",
                "165793303890311524012928479835624918163",
                "31009645826497797033053652897913525334",
                "226968460167368669990439489532367613256",
                "153788505318091204004733516804879606057",
                "207797467729766143477285168792050738761",
                "44130904039791293402769079264204256582",
                "95402437013474361807385097324489404508",
                "88572339683535557838988164116786998167",
                "120259599072765933011450416477316278815",
                "288730620904230682712170234194106023005",
                "8500913533478786148628183104705012931",
                "80070044155970058189240361607487225480",
                "250143891917460960238534957873311931817",
                "166260791667595624495049868983728190671",
                "97826938128869678267649194641831147959",
                "100460909671397077546691245650049484331",
                "330668984456164941767277144145079956693",
                "218825005412586693778495470552581139541",
                "15137361686959990747917508968136095934",
                "222689512315217128471714502661633452209",
                "5711408127962719223606984388802392195",
                "270222939143606216399439155917341191762",
                "83493499253844681388131690893506849788",
                "72310009950335575762050599966173180185",
                "44712610986475472998960438710958531771",
                "188576787993346116953449169704790572951",
                "279373670123351923957450888132582575720",
                "113053310229874157512650284925387348384",
                "376234254149619702064541230858569160",
                "22835524019071616863850820022164941599",
                "7605193613994828913560391976358663292",
                "324234767243722158770945213120047846083",
                "308388861304303814022492362047962439019",
                "25043583274084112876629947045128822167",
                "73689502655543533422329468650182309507",
                "14275136525168274027797324732480805366",
                "56551758655933736663211182375473615922",
                "206826229366797471513201847301086644261",
                "9244888268311723922847765095810420948",
                "169254697120867839433808022201244526285",
                "51179120928302942385401339542880606832",
                "224963027013204361086111098465513954418",
                "206776887431147518314409780374861077445",
                "158013512305575526642444429276396401007",
                "316294906954978975949213052973047752211",
                "116651218165468690637241788719543539870",
                "131386754765337791592518845171428610198",
                "271081293065855669538205217504604301118",
                "318733358475706070501560765855887579108",
                "189137385169723355784998256425629735834",
                "334327133981460041917944073363115120522",
                "169896259281512051370677788323276829516",
                "215775441795511086305432182451022448228",
                "16564375713504832099899246024755842928",
                "24683401821341701845331583948210578765",
                "198788681341921637525265825784134304992",
                "235250008070631825404902834788647057530",
                "20144356723325505720006007599982863883",
                "31235686671661691591212929009128618347",
                "120453198778813726590696883358737273891",
                "154462006675931828801171908208625571562",
                "175752752775689214759814828663666382123",
                "259655331008737360910019971364089851804",
                "146746054936569432335954634882599828199",
                "181314371365110651560060793740582278125",
                "88155618684432099455292292711465595208",
                "20984384421598061488553060469377136218",
                "159795750739028230107355194951881281716",
                "324946038741104352725948445065602300933",
                "162947542331389278874024090059035247043",
                "13552896951920262505366880407346191188",
                "218793989257127988695839387632826182107",
                "298955699135763819231952808447585679389",
                "281954722661473140708545317668363336461",
                "46178752020355176342655080355402504421",
                "78431689141294814958649772513313016604",
                "228973196369178754776534966457008651018",
                "13665212055408270091483200854623874339",
                "89440252882200380603794885683066382416",
                "283904480717440627232435205363963523980",
                "5050455415295295138066409720735380628",
                "78646043541373257053735859798900101138",
                "304290099402280261453270827174313366284",
                "262738867345370063834447680180330328957",
                "167606308878793385499691240217720623652",
                "9854616190902943220516031034359644951",
                "324275496247759352458859369252407468314",
                "42721433604943688305675259611307607601",
                "10855538705336033572182018913966914139",
                "263734663230847100637670703862137144530",
                "278215609611539940543811539283016707704",
                "272283920031837624783005693063127332195",
                "252619471934661565058119378267435427159",
                "279296843753664328837079821815575424377",
                "9918551436228976218620215229679017616",
                "40371814798666584453591947562149451505",
                "111675682614353218125746399643799777450",
                "201789634178581779271887147342957060287",
                "238343244810408765271633632781648354561",
                "254370126510028028010303737167383563893",
                "179747545355468196731896193097804847317",
                "72711650894669864295088837792719908912",
                "87739311333331113777504674950466864977",
                "51440568347006186744975557865324548585",
                "112972951809926669778378859349122922373",
                "119645137390101051900725777083038815436",
                "42666666160921741335389810007887102591",
                "267045345812993620823940267708766898631",
                "117114783155836902980420748260391058183",
                "248853932001814696164915805880785987409",
                "233096993456147165688576583249405319643",
                "168937337920547798895350792077082924322",
                "104337031226455209063754839939535294642",
                "326838294218647582765803384237877886811",
                "88805997990760060005823748802870210173",
                "114615286044784455657371630122980038327",
                "305464600683497139183083667656634644006",
                "257444376548573228734730244249415368102",
                "205536571848209802271040594626797539667",
                "203027840822040200181840529619189349487",
                "246635745011024264725528231523962625429",
                "178021861405000916804682189505316166874",
                "267643147611795103585083029991510454116",
                "40734436340274402949660947745883685879",
                "186922573623745962851485575152199164515",
                "268742891003119858061851855771384216057",
                "62182135383601997006900736816496462145",
                "202817549018169588810360978024357772085",
                "200459115319698800139174114478699261742",
                "11138461636879350602407553422049775742",
                "299931333521446801190213977681958764928",
                "72033230827596033530029274650001188800",
                "186730197971208287168886940140851949303",
                "16712913943774087128861723447919914468",
                "31513061960571509241841940530014357627",
                "87657895483548175468295914254768595640",
                "238924261985777691690861759656201099751",
                "328909844224111155107478258294918313860",
                "102502606210702338119716522353307447663",
                "176417091093103713897645376130523197522",
                "300875188358409480852677832860160280189",
                "76048327422394451179773515884415424723",
                "200194474034011606283058702816067239764",
                "187770208556739180750103410520225862258",
                "110256991445643871800983970928742679242",
                "14609483771357227832123698361941380637",
                "140279492252831249949866792272181290388",
                "293323705937491315219981225348211616221",
                "220607797532815641317812574950819469264",
                "105880784396950905168322630859185157544",
                "239954700808184991957702823337966602292",
                "276986126573585367773847835676747556969",
                "89305221799295651792703743345111086223",
                "178056090979066771179649152196019574506",
                "19407883543403322806793449566063916420",
                "25045658404706205233104257428361562437",
                "116957057141929404022606983430025009462",
                "41731006997998912153048281300670753806",
                "76510458458688518102063753753014639826",
                "169303060243171409105153156198731803030",
                "111923408227821013746046842560551412239",
                "27588996656201992581603111024819626746",
                "23556414546655810788756961532430818599",
                "203154776042676594540836314538521877052",
                "37668635866964969707951999572821004659",
                "286082537467898883821277474018559924639",
                "130486948018418649309683700554919585875",
                "138194672578406768838350638616096506117",
                "280055397225862934647958475328597980391",
                "160736640684321022602446352853878312600",
                "204117661274545631606599882348950890955",
                "275164668948757674234937052593530665344",
                "123575644358357679017517338235324127299",
                "54196922973215969824147978356583296407",
                "11675692715120043152680579984419946499",
                "115397415556268433805632049139355444662",
                "298593885549923018500219287873203760174",
                "29557413562795686376900008605300882251",
                "310649016564489802229674633433642564660",
                "217409209995136820115075252885143268666",
                "242601596032603954833556361721565589025",
                "278701118341184463712083930292510379850",
                "47607798723368999832175400583651114652",
                "283542230877055453384472800889055854325",
                "6942373752965323650051669932137336490",
                "1823700081928784109244739498943717846",
                "104626751818940681764059655173572257799",
                "170639602239678251298504113403184351686",
                "181295093334246105075082279671506661058",
                "277273132632532065494886106074755833574",
                "115011149279630071096910198441482536483",
                "168462574357185671874328651595416134233",
                "290036047061792145582079562534294432826",
                "113083712829956325812134317593229097558",
                "84928262380108036155221619531956375197",
                "265929607143567622230612695596421375804",
                "247284143460664065614528691384886053060",
                "321858507005239699045782788713115747422",
                "181257334070640595641982709968084434049",
                "95870242366620109258221900710183199364",
                "134810056602803765571503678952343719814",
                "59847731747117583362058645878124052830",
                "138771184755276746746941140761862261983",
                "140164480512005840577242564783542251876",
                "302142321307829748037554345877159986840",
                "53034796978763126417297625249631723846",
                "289338314422345873400278266991251191987",
                "318378650170456568000612377281186120204",
                "263757294873563804576500781153958320334",
                "299755985208465179101738926961160845762",
                "119993714652395072988274089126774943113",
                "113868341049058255553354907344607960532",
                "59817730387870207965226433906143048722",
                "101602544327469737337086668462301498085",
                "190004740378274003838611567808288604021",
                "316002907173455816120181366363842509751",
                "19216639629940172366275377413464333895",
                "339119848769389742965197228911551537006",
                "210794831027184609601512460399679108911",
                "62321905600432979373059841745928453076",
                "290192732741992080037014932041141049828",
                "332254136170778238013928645736565673930",
                "65894522951481915050146596801442516635",
                "146823443433289677887275969135044029095",
                "172330827216327841970615147418606668447",
                "281289121428231098354442622467088762051",
                "186644957471298010630749887774860077928",
                "314154431476856599766234079283154497759",
                "8931458837138974433066472716179250940",
                "174461105541680932467527301176160457446",
                "304884340606946263105097614265696089881",
                "220055209552401149248926930645557639236",
                "234620946143466521520631997343571657868",
                "173322420694873673081348772746335367846",
                "243069886326329812538932380634714475267",
                "140750142050097525790036017044560070321",
                "76116137919101572364938874549158942668",
                "95900024877689123791568885930485341339",
                "9019769377022552290399880255077950190",
                "255952220247903772464013650321573686280",
                "249219712988833047556743844369111258992",
                "105775096956893288146185934299872565217",
                "214631487673504207593324152234982456992",
                "142081073086498602226964479901241120325",
                "318771113335389474313316447979914681241",
                "215980683329524068746130627491774015497",
                "257284847644308367133549719089872348148",
                "2884606452095099674433479954477942773",
                "115403384968377614498171901521929457440",
                "244596357533375489370587316210071726056",
                "44147464646671205323218884762962543513",
                "186243298072068052676978300472190947178",
                "118337907165286791188769039721027106716",
                "294962642561676150274734034745893089082",
                "171643643720082007817491162597019040773",
                "105138979426232230094139799376294542750",
                "138996244536070077074649642810652465605",
                "258962575646529780136018474180340911402",
                "159191183247721017087621796114210505295",
                "7900457680125843646146990870523789386",
                "229279401310588951633371133715458071972",
                "328191414512002497120831428526500554924",
                "312077839738012054086314738437158570765",
                "31840114895717974589843934700499164754",
                "330739044234318962378622548723048834718",
                "273528981591019887751596761763228586799",
                "200698510799347761157525288873181591968",
                "145087521504249074966385447661926585913",
                "21922237615007606748394430867186890331",
                "22870898808416129410512245950623906917",
                "279818774358302371719558871552312789360",
                "92839447960123847640256181722281150500",
                "37729961592795914062481829343088916396",
                "243152959311095106270716619265756357968",
                "53683228933400632325314502993018340405",
                "53895564312607545440763769021298541333",
                "57126727231845967795958365750498454416",
                "49682000849715956486555544271836330417",
                "89874048024192362023691659833358193351",
                "96784257288121468237232665177192620668",
                "162793918515581170013790481309211524707",
                "215820598062578149216220862053483655281",
                "22033208382884645088840796450214708098",
                "84142498177923138644352253147714875644",
                "191819086280380115705806365185924098981",
                "101690280374729243955690962634418672628",
                "15640657716031766812610842272222355460",
                "226153570057484483698635707393107143936",
                "227021211784483554514818689386706829863",
                "67159792362295666475361479705729754812",
                "148386289927999441727866869684315931490",
                "274721294778448346375478784065293555656",
                "276347839993048656985111341603311348703",
                "236559241981115419955842128040280465990",
                "129327952531508734546729501031493217016",
                "239223915284902082150883846332837585925",
                "221753217724601293026413115185143487271",
                "254883895112221721375773560426778810481",
                "89400167049218594698820847062527066406",
                "96359591696596122890483845489752019812",
                "285906532177771427799498358503502861909",
                "5408210072129592164146053014846807151",
                "63520993568035241934748935774033040827",
                "35814257740969275818809381759504491171",
                "75715846114328323419295535352389208694",
                "264936975520305185151769087601843361537",
                "46731452694623954903992661847360247277",
                "256639006499174471717755492753072455519",
                "276695411784136179479775326672970577730",
                "33775941602818467381946737833116856886",
                "236862355355222475580595099920064359505",
                "311268377228199999705299622355220632221",
                "314448986878129493761906534467427111360",
                "97612650334880447419978053949570500742",
                "148719177359355855811071743303477800856",
                "102716280631592859639869163441902813449",
                "10434008455405888140267667926941400021",
                "274350935175432457483243867921476112928",
                "203698468829677264612344589717844953907",
                "84477081746451096520995841039372095637",
                "155882170787512640684549023123546180237",
                "321428614066938444144070769330967333054",
                "182173024745126317406289401058051949910",
                "293443254163845849141165987258468651027",
                "62278514209276061787701055862765887779",
                "197215543563160134539983005757353254132",
                "122688959978964080417087742012889240242",
                "193847222468479504532325850772504690768",
                "52214182186105312133230634501124452499",
                "210410858442969440801656049801515699619",
                "306965982731388504941319906698961924987",
                "129555579467135165136610392051343428041",
                "297727908556326433385842946416041034074",
                "27996671450737592746177182798107262728",
                "222576814350274733655700853408446088471",
                "121905572493775402498872778569981502585",
                "195056990061073299223133815403690364958",
                "302295985654741979159000023670262518679",
                "44610500285413729205586205878941079418",
                "159097117889202328100719764925602671154",
                "93922140364764435419320050433348018818",
                "338792344412037000476534279152504409883",
                "101678775382647987400903145730733810320",
                "280879062030331559119544280137304966544",
                "253554824047349795473624151183588605536",
                "96260485514926138498806678570003919932",
                "71270276172888086781645507695474883871",
                "128265602580523287887878149184230780022",
                "29726769925993855336317951464360322711",
                "245816673179664972122121517069033461841",
                "197359945726224217204354882122330357143",
                "136334371279608349608900823479448178879",
                "210241594824038249488280123757067988760",
                "231249475000906790968326830599981706758",
                "50554228286545075378640436068532784994",
                "65677872685360932363067053952859568223",
                "85561861684237860163368629536597874808",
                "78533244901773666496035154207825042012",
                "152856508344204948435941727501899029258",
                "294730463989781653196340193671372663254",
                "316091468468497234533092511144287858579",
                "34379901436192397784866035268324249892",
                "113667477338893638605739499209754123398",
                "64525636263604434449026520233737828062",
                "49673881002916344999342167340623618947",
                "147749106764084717815105456192191317006",
                "246269148752316668658473087064627497071",
                "176774246051867304637433349818154242031",
                "28877316865706796872497232634175058630",
                "289598263954398975122707940213783874847",
                "183873227520165723720004753956316108128",
                "79672127229103465181046511808206178266",
                "244903912504498718241448950831373382654",
                "155664449863050308322834484574537582526",
                "281097557550753126666214105064828366192",
                "23175919502960206981314814418078354002",
                "70790339713312271217983051287967702609",
                "334523040176131134195506789676937667069",
                "131463407389307073647049585730099152916",
                "144226070504788288624209606025247009686",
                "152950687519829565504964221281330754102",
                "81687420638456472431770285654236507274",
                "112515238088037180554946163537574227740",
                "136603061216149829908474499271238427242",
                "122492556674816934757917391003926754088",
                "60487630753215000483506381524304952057",
                "253840345528810488393270948555831816419",
                "245076991407741309400243065900135201381",
                "320930728158005815070997169608566038020",
                "24014890464687986717925223871634200487",
                "67116195010848530444306874613960029668",
                "83484057869354066093547843800959226088",
                "297160322745802982513746604727116394918",
                "92044025466320218551287182363840860553",
                "228482692484800789716384918034503768719",
                "277435009317001253790162945322987734564",
                "204600252359630716081423651404194160232",
                "305966174655907499509808826086126494468",
                "266665325474216527173700045981695054646",
                "145526029978716816631193912946773114573",
                "52724778102992691368402523271797608424",
                "155316560993318738727115470477473886858",
                "178437587477019683642988165314012223828",
                "193708437952628770285258118173607707289",
                "80839113855080975563484572929984491008",
                "10083121503536030318231953970940221165",
                "43353910050880403196009488303278352536",
                "20287753996785558973208161149710266557",
                "93987988457785615632167175089672887778",
                "89053567621792901396722190547385810121",
                "326054332769638855359640421912169773608",
                "169745651226669454302509434998226276602",
                "309515034746703755632349115243943318870",
                "204238108773870645384163843939950627669",
                "169722233078338961680990011010095371963",
                "288572614864887870513115496625002019583",
                "31025582684624773385520324471228038880",
                "292111675714071977276352366191188767923",
                "217956932688755926696029388065937686677",
                "289679950504257233227526699589237099217",
                "133475675302532609354503879754064361105",
                "100293977940154135254569157832359706544",
                "207540583505777862664176810688898639025",
                "116689935222329878812614331025704019256",
                "52563504317228622815217484652852734734",
                "244810032427940660008802912942421628663",
                "17511788559412105395912083608075539092",
                "56990794283114593492512181475407331048",
                "45851857318883693034641410339548507499",
                "190752813650922111159472953559322073158",
                "234524770553989923630247558320735013980",
                "248230846874063535183314702254679429911",
                "298162901094379895416026950894301549868",
                "102777815599604649820454973315802367024",
                "317442805672898260409080106219148754728",
                "149993943051807560015812924571209421555",
                "172569129118892154120721129615862016950",
                "160784231766579041116592108256102576500",
                "98095743391094403894808456534926622201",
                "226910533662304569919178483034746132865",
                "62518799266194803475710197522261431371",
                "284366874924956816612436879183182880070",
                "278746872648579201582576139545825279310",
                "13956100622167981791229534967337926910",
                "281481235663874187188134159689661256039",
                "241292843259521692843312040207092848572",
                "221684080047257688418247321350950143860",
                "265784562156090173482036366755391208463",
                "210867357886583242624831112174324607714",
                "329451266709470886215694878373714320426",
                "250503752705278455065456671838345372518",
                "28813481698765550765134541368551942297",
                "132952796336095984612966997677176580565",
                "116390669307973828854388056961191765494",
                "131625638547501898754785877740653539362",
                "25221554383180309733346285604381433476",
                "189922191238070370792323784265714116357",
                "173170770898966752395409114802443746375",
                "57587521110652506430166716326937509944",
                "97067404506095538199370376742942485700",
                "35274538763538070803985026425196575848",
                "137106409594710938087336762673844066923",
                "35160270204243017764439177009493157605",
                "211972717773088782446321788933742398386",
                "297917418813753608447274903097431160025",
                "268846290371869836612934293585073605884",
                "276696881976358433881820040346826908151",
                "36831721402215821720193485569669579130",
                "128140648289410210257338402653342944376",
                "207282509471601932102899229062875299213",
                "63831450379419809439154246632612867034",
                "205482643351681922856262581707510639949",
                "113829873868403971406692480522718232005",
                "272951102090695494761194191668916478839",
                "77634897478078664807183944642256299192",
                "143360127596369234372802248976838481645",
                "265628602091892820499836146081128060118",
                "281403873880616082261007370793379109289",
                "107776794946892575499258972382681982971",
                "316183424735125495502036294421983872386",
                "174378230347205176686631537403100231312",
                "154459169392103878185462014481024874290",
                "72539553997756494382377767363175677426",
                "178707944186508530431100199867091965671",
                "98950935427552364820396501416411458468",
                "259980043780631888814536508830744771414",
                "223593031148415633429311446340770564381",
                "130140719747175024178442617608181626287",
                "38127643418244593218398618069882325765",
                "33511052469309186425664567965137458875",
                "164345522874128016218745248688291615374",
                "224246248602186008126141559428007629121",
                "37034874275196329541222165966993528707",
                "199837930785501047371096818141107130617",
                "142578570358144206333443381598964010839",
                "314435709585903902608156254113565667721",
                "120647619836393700952693549060388231721",
                "121291093454677196670204255738539982176",
                "307641177144937661691445219129497936302",
                "30679151525678545240137490375540423628",
                "1696028133387651810738496522702261079",
                "108734008654971210928781060848363430042",
                "297765902035915016422241459979452420836",
                "104393180210118365114507163941495418729",
                "185433563791565528681613033581679087063",
                "51623441960590164128495251804256745759",
                "305723757106116784041957656097564431204",
                "255300325148346301496453053538737164997",
                "188138530501552768579866743896859265648",
                "126369692901305752128119989810609440393",
                "249573101072069818844561813237443952310",
                "122321650586649087097323080761153212326",
                "337576158642367561861436059542273167287",
                "172661602227075071674248921445708557749",
                "107726172535856490455680515033424469715",
                "226793711349082332344482814226760782275",
                "216227457737823046907045525235673429936",
                "165073289433117397550054061141579131449",
                "330186273182830112944142875141599681269",
                "82224637858971613422720137229950658473",
                "2883814998128515574293525281223586083",
                "287831374334404956535725448323522232450",
                "296615426874307099586443893366480495086",
                "233544038208024946071208490217751374156",
                "95817523220780824379231679690690039538",
                "145712900734376196032286883646844929623",
                "324661924104210887389141699228014962218",
                "88563756976845473773125804248336231632",
                "331239611617674488107397871287908378922",
                "21504944729371412902440471227161050971",
                "179696180527888159984848020517952962745",
                "119874444562588140924995281599428911239",
                "313390818540656731238666034629281406239",
                "332412229850751659424149873771285640107",
                "1568630491972028151140225773663872503",
                "145606126223445993425731948058892984497",
                "229466451771622287666409689471254410462",
                "66885385598014385912753524977739461273",
                "1420545711347375583475703279644496916",
                "27823902229875633062621147343650588092",
                "248645909353892082273301613883647376220",
                "19448070561621949532958464732018793821",
                "339477186225524428909333408774891591741",
                "226448132041303168352943342606517870889",
                "167083678354649650575499479641565642733",
                "304561256160595379638850266978123142333",
                "180882410448610953267022739915715206739",
                "108612128050255717988094643066412958527",
                "50898004694419205462054116793418372799",
                "317756511467892630318220420508508829077",
                "2479832110292991724930194667489120054",
                "26044653636628185558592737898508719555",
                "35549665527437662580470336259734826592",
                "33545464346251092790374729495484786251",
                "65676597857227703252181471114246865779",
                "230256737652215036735415566761844441232",
                "157129764938203382962759442849494249557",
                "213364168794419581831503005061702992067",
                "314423755935073837344124544816848989655",
                "23326326474151815386007737780027442972",
                "244719925944585557483804858392430600378",
                "1697091386003895703376796007221206479",
                "338890815751727621356216894188508099903",
                "198764727976719856284033683598660889367",
                "137671489382375261217568514451852104482",
                "218768376978672383283073252988630629926",
                "191559016546593012369312111458067232774",
                "196947765464950730082676549805724499058",
                "321358098529471875349651600785015147380",
                "317164734384365682021973940774796926820",
                "33189467537899942258945179738524680738",
                "2216289190393381649612427995471391037",
                "59733391983812299886929076136908248702",
                "94050226567468810899771675017095140837",
                "263472638170028467097137782280137363671",
                "257356012581636393424558710714674478127",
                "14934730394862545455818561183781738041",
                "84335582660413005418464786653480646715",
                "117201505945576210005536607974986860278",
                "271941818619946209666170662136351796556",
                "321172650865334853127249743808648479413",
                "304587535445553237151974065346623075849",
                "91821318058486362662725604098683810428",
                "302845822972020791655776240174426400091",
                "190067178926641608221235693205686397436",
                "151060921985422774291352518167494434146",
                "269678753011070945817407945676692540300",
                "64459126045874686981990320571418557195",
                "86131486153475344552971447869555400373",
                "158626307757038561005586404419158532543",
                "334688063796649276370780694859671292262",
                "136242974738248318062784106249130855352",
                "112162961520382152562839318103878484033",
                "213056787512537426230913567533203491957",
                "97595808338904201807953581104111370558",
                "94591449660630283310243186753053994015",
                "294270528242900509734122349131656590433",
                "259622561817500962493418573773940632556",
                "303942063871484588244820862132997563713",
                "122085438643423990857240456054118701076",
                "23483590655157326421224502788406474550",
                "197283761437673158331203830187931442781",
                "36053889020366878528077194420307548103",
                "37744939721649979339955235986049465067",
                "104240046328356282979824570193362616620",
                "171696914167349688392582771202651450427",
                "198953670312476593920704645442110274194",
                "337214053835708688571684785064106989508",
                "330899078623296723558959508493416161853",
                "87558521652886650958198743033034539926",
                "85096121479779882977662924065407029609",
                "44296732479639041977938537235381228234",
                "130299197860552470446613746146394774274",
                "255166653154498464295292944652009626363",
                "76957434034634037516319266410659165740",
                "102157764104949762248070283106936039942",
                "328349866583186387053481180457998661874",
                "4268417246523348121562131598797547682",
                "236146226889999451360900210523328303320",
                "244076044204616933263731226401313640089",
                "233746938120369183135192335836133726380",
                "223281743498431312757946533699862270630",
                "106838931051587519380758066522736064821",
                "41220615421836800895992316016912406813",
                "307657986322939037253025189474918187327",
                "186563080631768945592292741348338565810",
                "222575084257724145835474067365457017488",
                "318766284559103208204743668964771147220",
                "222208057236626512157716511533366614363",
                "338923420228442246618758615755652876276",
                "13189743042001112135010865174428929869",
                "325839664863963276462253045283043943989",
                "293556313279201632048479491320347451648",
                "39841474792577479054501225448408924985",
                "318155960712331214740211829728189734437",
                "315142707195571799280889506917122628206",
                "195891568718707099603386814468842457884",
                "87333816652702208376449249907728958045",
                "207706035471901146864822807260840090270",
                "194681161459450236356955833033701273868",
                "90644248638785123577773486181581155176",
                "13802158561071220454364556322955077652",
                "136754029238161768813229081033684889013",
                "329852985239428141929120315218577755776",
                "293723061700540234487498994883213661850",
                "78489268623291521552169960803843645930",
                "170030476881019348610276392290662797803",
                "222134477167915071352836545269104044263",
                "4217622715047567604176944275203679198",
                "223928731859108967042794031691158041194",
                "290562937637445676841016262007873550929",
                "31504367623091335927414439475632235532",
                "39477977276335709498909205782318375887",
                "308555971872398840409998404252858127861",
                "164477761203521325245185402049796589362",
                "86724772017846243141268012590975386142",
                "143493402182597738580118702741489049392",
                "242006858886805795170011626801839331348",
                "213144268077634823244690668423129876659",
                "231193874750313111975020657405455960203",
                "152592815520913171632447406676985886507",
                "194757539154225510512147455526475305606",
                "103998578786230796318207391170290434995",
                "199063592588125902435501710302460348323",
                "298058900151101737255118838083750242311",
                "249919687846557130454819797068576729886",
                "145566856240067991082154734343058069091",
                "298178061176846299235603479320627397975",
                "327340632020365046947319870252280254371",
                "69612390381008219598068656729320177842",
                "90113756676202884492653565091025612991",
                "292126584718693804919890340843203385134",
                "25466401108712721711118344161128010153",
                "258978761055164310139127056967359136348",
                "135285040316529179600479101724089094321",
                "221764663073314792373983933283156093307",
                "11853192793655435004920849381978771813",
                "97967670583824855328692729263840933944",
                "325454810236547209144631137454186643829",
                "211057634341451374830492109153923076472",
                "69441555978719967559181918266270745076",
                "264357884793304183624753533563056898781",
                "63912210182114559836236860450233511540",
                "237837593297519454830952282635059602070",
                "142524537823994582550416691443231145451",
                "227311058039668681248226802046442896157",
                "146149524760211728965850624882405778187",
                "252429706635133096065292137272447246701",
                "227002528057368747789253222482772288914",
                "136930290660795078601299680574045790908",
                "311190534608676618832916560717427510587",
                "70976722114788472625677197713520781457",
                "223558806114537208737080186530016005232",
                "303202476097300179335486424797605562639",
                "116185021374245121107432095357670089152",
                "256636296016844251844186171881112372469",
                "94326024632683398181864843531836430323",
                "165670625149867904168251571094356851244",
                "258901467269496947651775852053547249084",
                "135799041975659856355920129833988226720",
                "132735284604573139674275331509154323768",
                "318401830529806070118603879244709322531",
                "140870838013002296975055177487508041815",
                "60678467721644637537835248415863282902",
                "316052086276798221199242122913932214869",
                "250651630185879974020344777556919650568",
                "184572816325910601961917978879956048383",
                "338277526766031733164573372620674858310",
                "338147888043444206163782010019517312759",
                "238874809189960477161549283791293077556",
                "185636181178041530597252009253992761572",
                "114214520026362173249025771952289049965",
                "340048082556355183263557264330111621594",
                "206534382755541185414087801949940318465",
                "315167095267800837926473574704581841969",
                "181433289936892873579856857065539895657",
                "61941928028261264333523231282664907804",
                "258741951317573842991246091954180786479",
                "237456027127175339391455608133406064046",
                "234785011353026783089364072591822273515",
                "307346077072146181168302007847763339808",
                "161761702630296610039057630655944142424",
                "148041236863767539129323398388729601347",
                "201711776277349384929317861461394762777",
                "328682985723178974362915231314785555328",
                "173818349684462428941863191490779977118",
                "166489179685568653207004447777211688734",
                "99384386154074868487803713636170257055",
                "131374978259728968206890820660230313194",
                "94558339505795423771525422954804307984",
                "277307573399582592413730779661516436916",
                "213177337026896550155133002833856794026",
                "307567357441528312354791402747747955398",
                "43266310001301933695036832073055399504",
                "204735274849794328359672217772243444588",
                "136405421649956777225940947455387195655",
                "288708780673789373260358732193484968334",
                "58982348469662597280964044456701525390",
                "13272383087069599933315598376073375189",
                "313229381903929589809828156769848474490",
                "135415999866617128814630889669756408216",
                "306893327012615057358429430662791986937",
                "153747887470758227720828068050603821388",
                "113310598644599729669868060066799291919",
                "153239921003390285527326326308723063580",
                "194137690244352164212353900978408527383",
                "49293114062790296915792711144694157927",
                "56014427710135318559364746665134068109",
                "111489353735605549497394360802188885141",
                "191867155580391820333526362506393745472",
                "175996031446496095946063258490459672905",
                "237370010424029294134984983595371545420",
                "1703667598765056994763141680224425571",
                "32628364338002218437066112826226809694",
                "233944071168751032481885359637205752713",
                "158388837676772272413838541173375529803",
                "14869868471482569545472013630119570023",
                "17624820801339489200186943796640749880",
                "322406577339501233461711330317787440100",
                "157304659299470804539266106131817223664",
                "220997631420978673535996165481710295805",
                "793289403594659750636971305050884465",
                "207726238713962553307168266955244506156",
                "246877888359403940981696396288604539118",
                "5619448371903844680675209389467498000",
                "259984884940343385693090086888056885234",
                "231919839654041493134595257621738663068",
                "37691226835750438623520096593773508685",
                "22505893101112814330447667841357945426",
                "283428401537913434858228811833394118566",
                "47303111640782397454641831811832764575",
                "298793698906855155701548316775351345266",
                "335062735717991088325670082998502332195",
                "324181142428759037470013829238406110826",
                "84319320233297802942578185072001113405",
                "193571284247232754338595930575734401114",
                "117016227455649332320068524777421956218",
                "41757360529626656342486299957540605751",
                "297643056648975616556416128470452900643",
                "2301262551982136053575238110766843780",
                "278283642399594740006087335156470796193",
                "54077039347899638327319603093694859237",
                "72728533694347781925827943236449195",
                "316026514362969508261224302034795829544",
                "191524764517249420305985578023818923422",
                "46847705180647702553580683608591824046",
                "205657498098155381144544380600314497613",
                "44646978832700836414774509237048064769",
                "28999455554133217308530978481694419798",
                "21404940956755346406894414159370373995",
                "321398668064800631235000486083977153712",
                "195655003572438759513560967535160754373",
                "6916651694823505182479348438207253604",
                "18087302724009587432501038180415300830",
                "7320528674336555562449830614033557209",
                "336173708200294826088665924944768295421",
                "94123161301356705576067434926685218012",
                "68326603053729637077391012499387384323",
                "77037279581645145781959950121479769614",
                "299775972680149075658570462442926390285",
                "283440053612872925928588108397874486344",
                "242933270250759722397535529831786205563",
                "7911340304684566400175981659034672935",
                "47936871339869145372246413568292781282",
                "213232508606403602409552194044258575406",
                "27529860645427453354070476755808728031",
                "279088779600219034353980054412370573413",
                "122190876829146410065539985676304197736",
                "183789950040252773180706577832078365494",
                "176614784713229942931600994402408371569",
                "82829620151897118601567578217356561522",
                "175303282736552972880232990152054045591",
                "242908430564430706014712179170456039128",
                "334894170462253353703640551828564942318",
                "59384571329098365577498341511480158500",
                "98255619504468480596128442812396790715",
                "334163523188504438627626983417671801827",
                "313784245949766216577596891828003680253",
                "62898842889094438767768047471395868819",
                "221880894634975831380090208537862492525",
                "258690221220859774566728424697630292395",
                "294122571653048968881471055878198816022",
                "28495998097832257696693312871009130583",
                "55534360528587064941184937269043679790",
                "246192909369632637998140017005863529979",
                "89169873285160184427897232729591949820",
                "165629801385798882600704377956243885877",
                "62773402731992918148013950498440191062",
                "281595112290299932355273719647589998319",
                "267612550540266821051178674617763536460",
                "205327731751116641826935214989723167766",
                "313116147176851097684042804741300866474",
                "151023300706942975861257725013422683471",
                "306478781314352303354696039147950263990",
                "333118438141059781642044887978542662648",
                "180698121827955484841647872587479670027",
                "325713735821025903808467837808008170042",
                "145445261780109515755430258547802792693",
                "54639382542202987586337448587024175616",
                "132436978104850647535668266522246600724",
                "153468670822469608907629339543121774476",
                "14581608043903047565108923673169328649",
                "206900762819959553066673495645379991055",
                "29442085005068426139249015872619892067",
                "9848850767981502339030073387828982944",
                "155494497858760333923483315936316146036",
                "198402778605582054608099980408958164971",
                "117635701218527514136592347378818022106",
                "55513309776968772637721392238066923449",
                "235029678879963578941052658691114527604",
                "141078705410698684825847771648648980589",
                "204373194795047005392189556659763092814",
                "87298192593582875115409587973721074930",
                "299030316945236971588594496987943562557",
                "336485101070860829173180326191318420616",
                "3060801910426047764689378611822800463",
                "128967276603695893541507128628046824891",
                "91911612428391182597769898740668611753",
                "74896824116787095122172019611258417051",
                "230705493047225696481511845500251138550",
                "206801870287702764642280864292243413048",
                "258828561722866670784113608602030541278",
                "332563695224240251493315609328182195816",
                "322306861843297765870943734141831486230",
                "45898740352184697601898223428550976234",
                "241759813449515117953941010480250297663",
                "77409850401932915627232112656824947153",
                "283427036674780785042849554061203559123",
                "102702841893854036345679784580970492538",
                "214458341192021419965433656513064130792",
                "255481055287883215148516291663710975267",
                "246882790533385965350146333464503519379",
                "139908438757117001325414073616733915083",
                "267219612566068564111665148200010811736",
                "102354385538319001529747197698738008440",
                "81978483140818347211774456801043619334",
                "321500042168376693759824630438847268072",
                "230367486900226781953747443335335161601",
                "216924314515290687280780154747751720320",
                "62428902270869448279531101982682724690",
                "168021771003703684059939412873954758806",
                "242431247855066900673731638531666299656",
                "249767971694425048905577392265716801584",
                "147902273965359333363420471420932850814",
                "141924345193258448792798298087772510443",
                "215575148809619481328553719197941050560",
                "166041260367011571029087878188680340731",
                "286231380623701353143272283226069777658",
                "92688526671418800283919222567483598632",
                "31927449330836671066156189019781678400",
                "325574447821157861711744591528305119362",
                "135491524687890488653494273815003926981",
                "135255806890455298977747133259564349299",
                "316133237338137098433316808054208175986",
                "301447994849871169590519350156261086053",
                "252669722142864086689037066673960749890",
                "149771436916077247831044852466155879775",
                "118043064505927568291114249724657733530",
                "235224161353269240839410968560532145605",
                "22754910738306173096794419285883558477",
                "188553178529551417287779131060759104448",
                "176429483073834592544447622176298235850",
                "165672726672421595246353227086197395095",
                "237270969069997768838325873724240304421",
                "319320681620138895235974898768682105858",
                "11108795144885451207007662014615762824",
                "69460888421636620930737884617662805063",
                "246864603672472055334539243585135355796",
                "122322608390463285484375221083513806609",
                "100867895502864969467289874222353645258",
                "189763594560235148365676389358063690565",
                "287083434833604661476757195470208613542",
                "5565492610597005772391056822064502810",
                "228825208219402406432607158791137946186",
                "198770626485273121234829187320890081272",
                "172305787151308951117749649879720063708",
                "213655132160831287510118767334186193238",
                "92444433310782979581771677982401949339",
                "42166880710522811785011314894818005189",
                "50922552882936198735026188819191510806",
                "155689389576707023170376917139564334917",
                "52999245785343844758181324068917799100",
                "198647717934101747613981009512767795609",
                "26163720698570421773134827603232578688",
                "252458310700590633367339605507380209874",
                "308724161741886507230902816730179233217",
                "48890109942723948951599228835413934896",
                "205524788955935125194436777197180192414",
                "144607298063952138869020163335678662399",
                "81023426764904539621728630697641680236",
                "43748980663253482390927197776556725398",
                "213205977245161998803292226046177024802",
                "254724284204057440117974887702576226926",
                "301185294559582017773348788738236902606",
                "255638994788071566775479149847347189716",
                "92264677721428054452550484938550514794",
                "91686581671644212021770043511823939826",
                "208441034236455216622548421326376053071",
                "5092957182665372548970984767384738526",
                "261293467329409066965854179998562736307",
                "318169366046127364369803510841320574303",
                "69877526524980455468982758427487533987",
                "282345398424436243862333185188690639159",
                "235142309086711594723548656517498462355",
                "165290130197201975295203578242310446488",
                "129607624422461368914364583739638569590",
                "12909814174746537945393602483279573086",
                "225811422769825794521754564310517621701",
                "296475739876231799278935817135713076630",
                "257012722406023030189656554105898182082",
                "21155968771414923747728513805049509383",
                "156922233207759302086682364549947973292",
                "56387540551717393313190286464973598452",
                "186527309537087102420378752436959358020",
                "169326324555430844153222210548449510828",
                "23037066020375559822154754694884346195",
                "41424786594036657917406475979121170103",
                "238672291121986301644663491238282761497",
                "111659082227772877907639058202106921832",
                "61135282255895942837597144962740980314",
                "45017927599317929598915892673807416829",
                "210030226549664067658916560647213559165",
                "152498771850740583466838669047253769247",
                "310565592859237894898772955777818899272",
                "5308347438921582891586232330521357884",
                "337279431630469762036983595109290653052",
                "25032630441272106751213003422791316319",
                "173733915073194432138832892945818289358",
                "76826816028347284712114310529421076827",
                "252346803388794551635293783878089638783",
                "336152208931241155860053503559738901686",
                "88424929431298394619056175594263357044",
                "271291873511041123147514710879611513315",
                "294344022687266830861180712952978133419",
                "311336464304988011208541972289018412211",
                "97467706505123134481760444602301421960",
                "336541260631299912211948886810863441591",
                "196958736931883256473850626207942660882",
                "325605021746268083288325651955961400885",
                "65219805172337599012026832760437680768",
                "243378685772366638528639154107777575088",
                "171853866586583264301121539181608291168",
                "13796153778478547034240767436489330877",
                "238283036624954528957130450000842822063",
                "166014071416814619277932896969800855705",
                "202604464062859659210807131086622662702",
                "94985418017384192516967771224830355875",
                "271473441780158998406716021485449400891",
                "247663116695233309199471924157996217462",
                "3484491772995070855018400980788587756",
                "11551546142899343272686183878501470880",
                "17755860000390670021948186745474939662",
                "196813894727872188269769598336171913878",
                "123185921362712105795970963086513052458",
                "201735755723806934667038293968849043211",
                "193575114305990279648581027812648874015",
                "250354332606947084183132732772239951591",
                "271591736772657177309704552406152734554",
                "149705277893340717753965518256908881768",
                "335880912876228980362462282986276278579",
                "40939301961319338460348305194201130386",
                "203274366589322369885816116912196096831",
                "77295614234667104399986632821239451055",
                "85339474003703796165363242232697262455",
                "209709664462179190271673870147022818238",
                "129453160561728604236840081842781955132",
                "1462415722410041387601491262349537900",
                "157796335955327739483769342321637351856",
                "15143440965033676955405371195423845724",
                "129981044689878458225224283061061807081",
                "59025259478563458558803941890373810562",
                "6681596728047624967409171290379383246",
                "172063361151446751117274757194790469457",
                "232303346517006153659823679279688575184",
                "105416970396812898366279025376998882762",
                "6201142758521182131088104734769191353",
                "65222404152873678263342541425560384686",
                "134989402182057373545535324770467405989",
                "286752361505568144678086361088607592771",
                "318253974936040646788227171849971632032",
                "138020171168076246370625237844350080029",
                "123228986405282549802096123940090773334",
                "87069361519828958804472775594255027850",
                "17821164610294033015913590151936056118",
                "169652516930794399878439515332179523560",
                "243060620727192316832307090476298485683",
                "251463231621059795247908137834166852878",
                "42630764573755214918666513635202690804",
                "220554614282427594429201559701577052757",
                "217559244313921155350375477044939276763",
                "279535308090602366656537631009936727484",
                "184673937033511551244638074170725952858",
                "293788527983336349283124549138859563629",
                "42947455784331078345117616606120313689",
                "128286442986086277844096175095570833395",
                "173564278964754436257193681190466494334",
                "339796489788988575365732813456023906815",
                "229695592214173425434376185925888139779",
                "25210576817430505802974466854946224851",
                "163978228340633959056233833673792213178",
                "72283061498235889198654053785184998628",
                "168900995918578679163482642560685682024",
                "301814685598074342199841252770787195715",
                "125199949348590070610729488284110764943",
                "202049106774549764717016870185458106493",
                "154665083651880260006631142168687097471",
                "115674404557711447135424587480671584631",
                "27086298406976765972322269472518357754",
                "338499876066750824381873299623103189890",
                "292181811311724530651437289226992880609",
                "182697437818753713055363230286798654400",
                "33978786034452306072832771599048833194",
                "216739090282378777873786568910718552554",
                "1397480463988009115150404456940315802",
                "136806368255546825088080829072584226097",
                "270632678600024220757180017092968970077",
                "158819697471845638260135936888337281024",
                "47724781515420872169808049482784525659",
                "75547034689239049979906375185913425531",
                "40847229715067285286922755906099085053",
                "305804984117866092580971243141920998088",
                "26151397097946311816979407560849047328",
                "263246246642080838179295322328101164185",
                "31697561542995841070024509021824459467",
                "266370244679465738211719674142861484481",
                "323747439782873358023851439834875845677",
                "102679893717332352784758122839890308418",
                "330290286492541048991891331664779488514",
                "97159977430846690166141265743345677992",
                "95171470049007587700986120183472081432",
                "336815487143279768391537040945271184684",
                "209947355046967477982550145322629513922",
                "253474832218420764518145149325503611528",
                "272940118560090612948291190140498295096",
                "102238275941252927242572563277000645073",
                "321308365852791676227822887276244842078",
                "170407762663216683062179453253017113899",
                "273079214689911294362678391468819403862",
                "245197493453404740176366262819543125430",
                "22979289156073819964776495683460375075",
                "230812392450411834818021725993237219861",
                "172535871005413864125927905853380020376",
                "121802477870841180578674753349917482326",
                "16383159688477550911226990083663648299",
                "119764376881280582422352211831128728177",
                "41027141543545113144960026564162850230",
                "123387298155874995114107211061370515383",
                "263150678956222808044377370205127135448",
                "308303862431992466475654505490434741491",
                "220625624435950350936614325207926241248",
                "245261222500160184489534226881854187632",
                "315246281489877865376959893228244504437",
                "110153463683759901423370351837876502836",
                "291521916131357428956608662435219818708",
                "293978649224368032759284421022749260099",
                "182417550681920933781288952607783821170",
                "76622878794910281959161838522937908588",
                "209383623207296890127541646517488703325",
                "103927433682155009864623620478308284831",
                "106655615315817435997197229697289318551",
                "51003992230011752514879580852806460231",
                "121235719697573955629729023725678133879",
                "107253379038717840513240931322335703368",
                "312007498333899447168590594519714107422",
                "169609020481850285308403140164407677649",
                "52720810088011003784913882657765023770",
                "190051719182398444791508632196251915169",
                "202109105699623972866776681803075269873",
                "267315247882137715733121400066242182329",
                "260271652129628873335553494116385805534",
                "260711258518837061393518073119080510776",
                "106465108960353731591280927329091322437",
                "192048213916846516798121871096507991159",
                "110028365243361713084794485760499511424",
                "56170055162944570995552660175824079340",
                "203502647925891093736874527722741527205",
                "1443041041581114471361454519700119008",
                "214614419496675374846121774346923936696",
                "1770733966415497485964928570637405668",
                "46902158201755543901214386541783931041",
                "232278665973873005784669616473144549548",
                "283864430270156907531275923453354829078",
                "122573318125186917793786181257061988891",
                "129649788916986911918049468202610039965",
                "308707519802064363915142245301434135689",
                "193889449247056100569504812783155276935",
                "160887502052336787101409853081202255002",
                "144940080828319431465817987374432638973",
                "323333243643771197180642266081012740958",
                "124063496588113827680561064310386131066",
                "97224351980846083813383678082889108877",
                "54182911109097111272307086441836308049",
                "301866176022979467875728884432508444574",
                "206488725213307007246609916953669584364",
                "83198228904734104018204984810564009975",
                "40437876436256430761627091337061786692",
                "67678450205815284476763282571682525815",
                "252797266124538609638766685163166477190",
                "227508710987474389076205386824810792662",
                "334805338653422565659030606544762254604",
                "49626224561300744579641207593738930832",
                "132292053426510530611345492290638497239",
                "106077613715744456746780966701168229435",
                "257991506972803486451052521841025798831",
                "265268893864241450764106454619433349300",
                "28210777411856131128301826264468651732",
                "212759273586510166373856776434727987829",
                "20692787042863918123293635986085586416",
                "125008121629949198085432144244213006045",
                "206896186590980337388145995840078716903",
                "114784740839949663175230290312213941553",
                "313169054216812414682267368430347467651",
                "318325889394750742964786433894566520639",
                "201528190601347132418923527620599935815",
                "1500872712492670787766795974515792162",
                "123609971895976495589248169795937483562",
                "205897543537227800315051760051765430912",
                "263979344882609640941978789024152692841",
                "240595308513660113255616474671993180129",
                "65529306916629548429185752759738483143",
                "316734523884351693993338548069646301192",
                "152372790198308953853084768037241806611",
                "297024314649470595227350477372961629618",
                "42544236549545089473904235232609522819",
                "308746161705795435899037386606839071504",
                "119181926759588286720405614737525366965",
                "166364744077402201916736581938333922519",
                "97992190433887560885884320757110821904",
                "174081084291471894688397216854144454034",
                "21163423764338526263850061913574938939",
                "214522261068103899627864083887430918798",
                "32492098744342026082911857417732896697",
                "308211820430871990882468034754175157637",
                "281095078919838378558969845949667697447",
                "87956744861161606217682873176891669113",
                "207483098233849681482624388593240955648",
                "63913792149731825355302276549783617798",
                "89186563171425379214310896542818389930",
                "91236365779761246515676253678149347635",
                "207562972891411892816746472102593502138",
                "274968956398033490787088279741364379741",
                "83287760853064504560008893966638888428",
                "142220216553548600412643133389175057373",
                "30384621597460801864342734232298350972",
                "125687490780711775936774084744830948986",
                "37075610873836852517653588118594134419",
                "93290169006446181181022634593659824091",
                "214409568085524959063509089560537128872",
                "33954738990304389765171521032516423506",
                "31894400388811768429625833202405594644",
                "268752878578432349852589091337644375032",
                "323569087266709741348993911232650862129",
                "285169953799837678017965585237257238101",
                "256021901731884291857140573142318229200",
                "150602866948941803772936794189706110802",
                "306041176481708545573709120944104412307",
                "198499826969470341226111512233889607063",
                "239373132379056980667209488191374271915",
                "311467603624877954663788419035484133847",
                "166403422161960861636932176490328018710",
                "168494768777999751762322735482624412569",
                "155852619616337006797462747296263104203",
                "80377087469046761170611835386640130253",
                "303707594317527521258018523239221124518",
                "282643431362245225719315245918933712826",
                "245675879948192907236342558083828003013",
                "210550376748355879822932236052737418641",
                "286374534079189044491251207135235065066",
                "103466102152138121198580317660934986800",
                "298869612834347537362586752887011452890",
                "336178624881474001804336499374515100663",
                "337240131337026235306638132226697877392",
                "261798174193583529430792970246560650855",
                "146139386377226513846505751865638977114",
                "138000931329847316790341702411475673581",
                "224540848753551751345843425772747448391",
                "218209497690228655541143344447090787933",
                "270230704351333562870721893035718718091",
                "328304915819954255392227865837735398173",
                "308372674210032362375809498091730075876",
                "326688898990449017340975971109081532127",
                "88142299059298498183686944990586053163",
                "128576880504761094569201005629686894826",
                "288842499851207689562334837230522994005",
                "46686564759313127058463720484264161558",
                "233095579498559604569448568787246429150",
                "316859742941735901356182767605051948241",
                "154869333459148625545686704216563359214",
                "314022526325312668532287437377084441254",
                "325388269648372155980011838051843616699",
                "228138864422059107518048910057700660065",
                "74733433389840263410715785425055643398",
                "91524849533697717212193270318954856662",
                "61777316411779050841557078750724626075",
                "30910521087617005111247749389276730260",
                "226344815494091353221400945089513177843",
                "319708875310188664083963082842759404216",
                "299925486204355286491195744838111147994",
                "67472941939202713957094598846331532873",
                "153798456512628912134848050777488607888",
                "178818296149747247555872269966426447923",
                "211380040110873974787459521059144804759",
                "327108045080558701818780560870179069327",
                "277378124255257495134671990439483687966",
                "248053281589557623555798199833852245900",
                "270419677903078739147747616813571091356",
                "68647296833349251617505443898327799058",
                "274633109715171884233755610541923659515",
                "308469699490881233135574593007323495396",
                "2951823813385147400548342138411629094",
                "116531530564782769848131284386654781669",
                "120195772733735854279449455967151553305",
                "151501322698586621103714923909709986986",
                "13502126094901340402692785800200735933",
                "215795895916789759204180031836574142126",
                "265136417670431509024683252077592365969",
                "219722794902622950329053059690053521398",
                "245707992071884570303497670624480306971",
                "231899861290388861269585943974706375994",
                "76928881691008215755891267069562422211",
                "73849145150721980398033784127193461368",
                "9074747180113875846003845531338403882",
                "330458389839273431157452818868010897633",
                "164751295898270724239138834041801530744",
                "327244820550365836220515797269825588651",
                "225155902615433235955175275872851923962",
                "251550614582864522324499136840237666242",
                "57764367824424185196902397477310349916",
                "100283905876572523491703210901965938997",
                "43583061342357737742958929220218612534",
                "179566612417188090659273954689505302644",
                "188209347748335374844012235294700909936",
                "187612649295171422608966297157584615377",
                "155706406710094172927335492821635746594",
                "152521063820534604110369846982048971455",
                "177925599613950650203748656376670653898",
                "23341397303288055566573815217153731427",
                "289167340316088433254916494857909377261",
                "208325541135323620640243417896530557635",
                "107994373352374749286778341171229499136",
                "185130538800158399009533842833032590636",
                "319770345200344504094022023895241129334",
                "155523235975638865939932891215733378499",
                "327802984776871112512052111703976042142",
                "28043635244016478840536516580590929164",
                "18517896243938789593689504194234057930",
                "313159816231901195680992411619997080281",
                "263436500437096144549675352594831127159",
                "126697748242042606487820140908015166003",
                "251797817144328371663834487889150147572",
                "190193924594595520324194136079990457270",
                "206787492406964466519342936148323768680",
                "143443634481120803510653763176386217561",
                "225576637523401973872138126188714701039",
                "253502167697514699001975803236015305061",
                "231925554268161402259848019990571797452",
                "168455221065969864181977930709622140050",
                "31324744037597223198072461101636923346",
                "248164959091129818945111611738825571343",
                "23125707558203915960340457187720736559",
                "245798092921471278363611046881330000318",
                "242961618867189801021523810630215343737",
                "108382096932652474432239368959586460798",
                "331949726912324037773822125852638644617",
                "201164039172115602237568428756231121937",
                "335272620318362485811540062716547894641",
                "29634035742098505770411690522998721110",
                "26557102058767361140052344049063769384",
                "319915079129739991447027532925793757339",
                "36012896354566047485489855056188387957",
                "206068213425985038195791705018432786446",
                "184031984383304108144935525161942321744",
                "234593489949847410658634513599059775059",
                "336929666655476220312687674506396270753",
                "86968969423456236267734614863967542169",
                "99184331469271505910545851899942570222",
                "168747075537784405621875706990113542785",
                "248044329430135263168728413598984912925",
                "33330668187860127294096447729653823870",
                "304715592877462791840421352492681695282",
                "112045862582518261102006555782099472743",
                "141038377281470882416640647951818309949",
                "36264395464443960210225223586529976633",
                "52939255402412029939933263072812426712",
                "82738796612650278722245702114793852292",
                "158182344757397028807181770653951759858",
                "48286786622576749043028734087566669671",
                "30752929582769021210145746829585435561",
                "53714334074152853460219571590993382171",
                "290543208530372065612158576601824247869",
                "291589609796417995765587301615512676191",
                "302728446335115526385025522775419317133",
                "331833417096844028387489127046520462953",
                "156177288931591168791994754697073299104",
                "194717447202057163434679353426029725392",
                "129605508808826700644334672935664138468",
                "225442015255226401649509380347857349695",
                "279579197559830994030771552885279233277",
                "228593352842799088081985898266386339716",
                "324647264476694430116801933456589232716",
                "212988832292109671150913247177098034372",
                "186788081438208774993533478548404872929",
                "45781828844365303936430216436237475412",
                "165490631025559989106431061039874475565",
                "166899070295243272963066953916036058578",
                "315863203520176912674084517416821299506",
                "124018340395558426312096005892537655820",
                "162952167732044887708375441013212493432",
                "285629963959631392097760964393356273601",
                "307940368271115256840096255962798569582",
                "84752625206313304680781306904618810151",
                "160575003240138781433043162863071699588",
                "312835186617648215415598532202780276020",
                "323006715048674039334677189510238599657",
                "15226763647271420689507756139607032806",
                "133478420022798679298662935333075378109",
                "59749061682291821051082860583577101908",
                "222105084701419813010013659821691664690",
                "58036451816157324695221144945834498221",
                "217344451601673285640332670831711469976",
                "172612712752759135946072056950776719488",
                "8599326979687569736705692274093373792",
                "150099599050622444890231315166148244751",
                "273352294784450008759344104580913282854",
                "276182821938392695037940875709546727510",
                "154306152867101247778416881665823255004",
                "118726575716928797097883875666683463650",
                "2489661346661382256946191554774017034",
                "252247254530597417117927613564201911658",
                "301259950948572462286274730127615084682",
                "215271190104511836239630087962375702240",
                "269963112139400052246531976393020349757",
                "207710927370619814375671628300502926689",
                "111176952776945520214646718770463856992",
                "137623903764410684906894163945326971190",
                "258184169923850839460561099106813811828",
                "282129337147715447982239605295379287108",
                "188883985407579962150582157237039564325",
                "129910332042305700445865833605059084612",
                "21087860562175357169410317783308978996",
                "178852220837335570880253554801736340397",
                "256567851947708620331491663287436354431",
                "254562765098323973841229665574629351347",
                "294570212977269123183472997507910321539",
                "36828433470708735354376283360514015877",
                "162105289678266975515401951039170184400",
                "138123201477594236259679889064558640321",
                "3002549321055286240145974399026571281",
                "9339312297831731396052019813531661464",
                "40420630251786787045483896333766005943",
                "78359856123669914039618798088746897324",
                "332112410771992879630539456011707977902",
                "268769238721182413651825808213224075681",
                "160468292878139777609412027020888209239",
                "77627578630978804741613092175691032560",
                "188677122209808149547984536782803983153",
                "322657192808995871402728064025572263002",
                "154578556892907387619747354417327077419",
                "251681201318145634239791436774775861107",
                "243228672848942409979047194479482140073",
                "152578288012931393299562140911472834043",
                "9824696859033417721879215556402744677",
                "229572028675176086032507093220673507408",
                "130402137993152255751634240069139659307",
                "295737394800184891826735425472831916246",
                "41143829166813150262775325445722916105",
                "137115251111271749738690763317472276768",
                "57802432418299407327224024411441541623",
                "272690258332303038595703981808003649170",
                "43034497094314927784023076526185280577",
                "143881567460152546291007030109116558314",
                "66757622244117316975500843471347505229",
                "149778207251807536386232678371279210948",
                "204929962629786669610943911374885044845",
                "190088082070030511625965242071069289714",
                "334231714014688230143223460291376054017",
                "55064467542336340293319303441155363060",
                "306640524703946226302487286028252403419",
                "271967256371891016956956134453615265035",
                "249077570540847480254059659464133241833",
                "68244110491946430881482950723623493003",
                "302788059668562442781297160160164535292",
                "312869479793048450458413034045046228647",
                "47238669174909585830198891489049845982",
                "255110056599442317288325788303177741758",
                "322127239920703563704649224467880925474",
                "78560033542743380420732182732723862613",
                "140450457907886691171270743535904240127",
                "186380816647525109215657203739642041801",
                "28716443811915234779323067046795622113",
                "266916496431717847316497699962628305973",
                "20899335079164970203175142716679844647",
                "282916860472360064121143773015755422745",
                "298032524196251355393568988056876128961",
                "164213458855591056366616681808541659304",
                "270584963263668077177585177450307322624",
                "174824446666330953548031460934499532097",
                "320732532419012416377803762617779653294",
                "243224708711182082646465146336500576202",
                "141509150578250118824147520108747765213",
                "72850934778219988604056882056859156063",
                "56830346444354697198715915442792889179",
                "141259824452614406606513380364059054210",
                "296061278197664072461777110878369437776",
                "247455847596236570091987392557210145368",
                "123228937861796507046666625827141270390",
                "48977162518518691297127243518839708725",
                "278705928596859834181919298314656086357",
                "331145991342244441732858697491503470870",
                "117657195583848072900309599602055976751",
                "104929306639262991510415018225872423232",
                "82434557666278492405073724109514116667",
                "37902464904492281315899467453060713485",
                "27860019048908461084373373123227841449",
                "177638052353656863569006574351177351519",
                "331597630484150205971670081385584046537",
                "311394527275824849328339192590704060822",
                "168008822456345939683618271395912912671",
                "156792294863005640467830161886237412563",
                "62850593870893499678628901652617251140",
                "330315715382315388623771611264641122075",
                "204764682246555748995739486868007518215",
                "154979481453839366185566600135154888957",
                "30714647277256894943403232723867135977",
                "45953305358531381541658623120710776331",
                "315089670368123697065648676051538965638",
                "309018345743570451804542828418543952813",
                "125185677846647392675898498583147541914",
                "141430854882779898516848038713520766453",
                "81832829555620442834482840837319419586",
                "84938448440754688077833982159469620012",
                "177076023120483956352039614085176228151",
                "163484735068366516737407618164692590055",
                "253746917910469571391359477754852190725",
                "328336128947968238835932053979826249100",
                "115286487589830480404605912154517201516",
                "138507806907616710388797502731758817594",
                "243836553645628035360605398216261491197",
                "210913853013263193596636840653414198316",
                "50839673821017070446164380666072505421",
                "82604886720624772920596684553542482836",
                "30089888623627854697326900445622233996",
                "64759371706457557787891894161296240344",
                "256052513331315410594531010151357753890",
                "299566173131227517974631371419604850081",
                "220962967998498093669546350514567213635",
                "150485018658635186011444413694015587577",
                "219647304101456506020714579537271108072",
                "73840305619193687956127431846324321780",
                "21560423598690718452498575169491292944",
                "172667388331007169246235850564761998009",
                "113847062614372035349893497751348858749",
                "25454157561804326144860571530478362125",
                "167423078456329752335400184360925839436",
                "266139287286141888119242802598960166890",
                "4578610567038044768070379904679021332",
                "325684481151293308811132552380504622054",
                "32094086217523879890389624683550773083",
                "71851995614638920050527162900464671490",
                "313390871255816922640177655473559565828",
                "301876191659082767537140625562826400644",
                "269370558221942842002422857865017932391",
                "248317407688915121819135642688431512397",
                "314856337224365432025753883372504409385",
                "248301659969313866701832238981118451726",
                "339840404315092017299043140000779978255",
                "60827372526837103668423466509026082882",
                "289127462758434580868847915992564686247",
                "153791232587955335154320357784087438233",
                "208534860958695521833883906143522352944",
                "251952990929913735786691607764903135600",
                "56264212319047600819847845773577216213",
                "230158721035935002097770587493052795906",
                "139556533035819189931635999609858739007",
                "247522880935497174231329398696288177162",
                "120723141959535148174708775070119333632",
                "295844540000920068142400551326326153531",
                "301189473313066447664768558152950357141",
                "90202843213576431304060757114838223002",
                "130196301430660792547802007039462665685",
                "279219607874517098895960716827387550680"
            ]
        },
        "id": "CVE-2025-52484-59d1c5fd",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "233536650167118692086769823756081069119",
            "length": 896.0
        },
        "id": "CVE-2025-52484-5a1b8995",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREM"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "15352377938109321421172753139396393127",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-5ac89bcf",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "56016503565241095664086841252852584835",
            "length": 1261.0
        },
        "id": "CVE-2025-52484-5ad2d6a4",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBNE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "95294611674804375641738152808105890",
            "length": 8899.0
        },
        "id": "CVE-2025-52484-5b9f70aa",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "175192786178657455857918897995086332011",
            "length": 525.0
        },
        "id": "CVE-2025-52484-5d40f688",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MulInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "239346008412498967374077912552661942259",
            "length": 1264.0
        },
        "id": "CVE-2025-52484-5eb97caa",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "233536650167118692086769823756081069119",
            "length": 896.0
        },
        "id": "CVE-2025-52484-6069639f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREM"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "37523507583898852801074666088813374128",
            "length": 10756.0
        },
        "id": "CVE-2025-52484-62776597",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "137255505206531340152740067131667349548",
            "length": 48385.0
        },
        "id": "CVE-2025-52484-629b1a74",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_14"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "246423555669159360177868734102156254128",
            "length": 989.0
        },
        "id": "CVE-2025-52484-639fb0d3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLBU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "325335712722205189805913947979995350089",
            "length": 395800.0
        },
        "id": "CVE-2025-52484-63ac9299",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopAccum"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "168622132752425692185368573944139435921",
            "length": 1695.0
        },
        "id": "CVE-2025-52484-6432c902",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRAI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "259889071479242441146161287547181105245",
            "length": 900.0
        },
        "id": "CVE-2025-52484-66845bc5",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIVU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "246379655582490648282409303730340532557",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-67b22a92",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "246423555669159360177868734102156254128",
            "length": 989.0
        },
        "id": "CVE-2025-52484-68024648",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLBU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "325335712722205189805913947979995350089",
            "length": 395800.0
        },
        "id": "CVE-2025-52484-686c6e9b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopAccum"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "315894786269165880599094541805294828517",
            "length": 50000.0
        },
        "id": "CVE-2025-52484-69251f8f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_3"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "63728674431571759982359928012405093024",
            "length": 1468.0
        },
        "id": "CVE-2025-52484-69747854",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "246379655582490648282409303730340532557",
            "length": 1102.0
        },
        "id": "CVE-2025-52484-69da1976",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXOR"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "289608100384686140276795616536967284104",
            "length": 39382.0
        },
        "id": "CVE-2025-52484-6b33b988",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_6"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "302753446666128064211183061914639138354",
            "length": 1257.0
        },
        "id": "CVE-2025-52484-6bbb7bf2",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGEU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "214135406673073388515781690505431072437",
            "length": 938.0
        },
        "id": "CVE-2025-52484-6c06a8e5",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "302950298555987349014447879196785069262",
            "length": 2335.0
        },
        "id": "CVE-2025-52484-6dabf2c9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_5_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "49646267217368700552427493900197325506",
            "length": 43794.0
        },
        "id": "CVE-2025-52484-6f26a3fc",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_18"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "42508594765376746226903456287216328636",
            "length": 39960.0
        },
        "id": "CVE-2025-52484-70ce66e1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "238190377488998669491528710199725768606",
            "length": 44125.0
        },
        "id": "CVE-2025-52484-71c2975c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "poly_fp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "30321757564888092770739877967657158867",
            "length": 932.0
        },
        "id": "CVE-2025-52484-71d14bba",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "25158687251283430448209594028768272070",
            "length": 12840.0
        },
        "id": "CVE-2025-52484-71d7fcfa",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "65681957940260956338847337361173050976",
            "length": 1697.0
        },
        "id": "CVE-2025-52484-72d30e5d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRA"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "14998602566133609270343165029930108001",
            "length": 12972.0
        },
        "id": "CVE-2025-52484-741516a9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "262372292807714290000091772347853888669",
            "length": 50699.0
        },
        "id": "CVE-2025-52484-756bc5e9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_12"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "337752517741807113354660641016320418524",
            "length": 13122.0
        },
        "id": "CVE-2025-52484-76053f09",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mul0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "63728674431571759982359928012405093024",
            "length": 1468.0
        },
        "id": "CVE-2025-52484-76f2bc57",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "289608100384686140276795616536967284104",
            "length": 39382.0
        },
        "id": "CVE-2025-52484-781f0c1e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_6"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "223838025936886467597437144454496981401",
            "length": 2499.0
        },
        "id": "CVE-2025-52484-78807c6a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_16_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "243276544218274453697908395259173270019",
            "length": 47353.0
        },
        "id": "CVE-2025-52484-7b83d91c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_13"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "262494179003958152207956999516766129715",
            "length": 42042.0
        },
        "id": "CVE-2025-52484-7d19af14",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_16"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "83854653992147635095150891385627888199",
                "200416447397600965530172840423192255495",
                "200505122183070962160421121025275634925",
                "289727588448485190028375565372546822823",
                "64469013389912114903310384411169579413",
                "311585250817768665378516401762388750127",
                "118186568986583715165475776255223654636",
                "304444416814181400523920759139820536851",
                "322344691684265996574898446052509616491",
                "312187937039881722387711209038486532563",
                "256346700394350970382855193927159126168",
                "271837136099819749907775623301313455966",
                "224399734365854990960668972304885898406",
                "264888075214063290806379349787427768190",
                "323301457067189929441030159724174652041",
                "123799262257502267032954261503093208877",
                "254250918880442044713488811018366796135",
                "21912005249298863112204496296667976335",
                "114285605302059657863915835005279528643",
                "114573541301862664893494219651548931533",
                "331577441324678034512724720573978150128",
                "47968809854879850502928292470717492340",
                "196715624189983500059154464204680430625",
                "194553467479698713627358375445467467394",
                "31306527070200454279263244894522844468",
                "322970083401946957861256995231488560284",
                "245711268425802515205985702417917105410",
                "173113205692788302405283996878924330887",
                "208869453333053072334483146349817263154",
                "121724542993614871242755823525754736948",
                "155947778114787912648671873169671211001",
                "7216578196012080767917380966957280956",
                "193388633407767379488024567028765519169",
                "166385154790538705159238530471955483221",
                "179695200920730252880292551556609153838",
                "322389588042510776116577323602386360061",
                "137998311997421737073057371699865664923",
                "142558223068711859150325542147229097991",
                "316038276464734249117389152733369929730",
                "42198854614949538417561126645406170611",
                "163705639546908587783656012436888085389",
                "185856782940064325678033783133416023169",
                "151040102372862503589219308668737080623",
                "326914933271192393111227825192232729278",
                "226135930530966770768758848842074983657",
                "108655568576472116672386506309673869537",
                "322961744020814528892106909224777463278",
                "226623353901135767805928652305719952522",
                "231767760923651363453432395412913688638",
                "294449535916063493680694820535812008885",
                "99749266768031536128968123102380720804",
                "17136646078717433086470582733408707309",
                "246420742028810642336327538515892838427",
                "333754992363006506542076820367042619847",
                "34812399384619107131320484392566216904",
                "99993367284420982786251388998367526559",
                "159142877966906297436937447425693990037",
                "89390075582661749529926289954450033112",
                "263670494149129589153406446912814635005",
                "106884941960562192218121636074375485710",
                "127429065616653960284012891321200329630",
                "60495617056775051258338999917778916104",
                "339467300159284362329417232082863462073",
                "149030497749982842105469184131026209448",
                "180963373677208470038567894948864305640",
                "338441489500347489225114113091308095424",
                "100393641588791272091805673871879181879",
                "300247940020113486227491602277031506107",
                "316775119616482647539515540091820454450",
                "43098181254454749305932190223230801348",
                "54352261299768705039466902023388953330",
                "184763369576211305824960393977919999158",
                "103500677457539324434732165221420021864",
                "151055738197970984909760371084802997042",
                "270642557109111284787682726498937313487",
                "79408709278255166598891892248276225120",
                "260905792550188235570548005544237663445",
                "248944880728249202305400100089065976420",
                "149650038639148253090918703934132319703",
                "277004589068675798010617481685690935627",
                "42114107146834747647676753745700874615",
                "178012807369512796862505289193398586395",
                "122301335856002665597186317016288917254",
                "187448421010291316281870718522182613265",
                "10860331677217322837765090401775957649",
                "717421295439819823016201117158399488",
                "326643533970584422091745718770861259315",
                "32017932716201035464899105957927079755",
                "209554050067150789776329944355232434321",
                "145292811972684244628784977961198507658",
                "204038653186789976418579201599702809832",
                "262234519154148122794618179900017295677",
                "33121174686903008747097878308535482805",
                "244927211689109100843606700762047424125",
                "230625580737046506691284780095646717009",
                "236404028919126902383582935263471762119",
                "162098948801237591590052868434183856133",
                "169720947631017013194939400099157321683",
                "1758446779737165262397624126917641700",
                "3299531999363085935104614734836008531",
                "176023305374940201591218527111271928374",
                "252859974014453548590273509592128894247",
                "132169991978584302274581987425559947726",
                "17446099015263185530038896208888639081",
                "98364298741442985471457639321886299438",
                "303405435065334706157607186657414331499",
                "71881832286133378250769066345397073946",
                "63021768267321355947420198715700816806",
                "172789802634971189086305402714663821524",
                "71165757203183490552199569667125323048",
                "102885562676407370563391591424845106791",
                "46133116544710473315514334280788883809",
                "213892935749138846855015089394176436422",
                "274747291043781674197426649139479002166",
                "276125003323467390396130915523892878243",
                "231260223550726982171145104113976890071",
                "290348964698292393169752289777589192732",
                "121173565215379386758075715350391469525",
                "47719109925200218974930643346464430279",
                "307325728268211705959486359291378749899",
                "6057968336828429856683867979828070023",
                "265788147690319888800760450551787741100",
                "112479441453140396833543791038276680634",
                "122232126388404686933554788246377158698",
                "214833507623285766386928245668419956459",
                "185398346314536466827254220826070397133",
                "166940480860575592405480690686701002962",
                "176174358824938994114399922524489552890",
                "312417740689750641812195832037560200800",
                "285173860027585640818491243760464829965",
                "298804325798820059617608346846620339142",
                "158982102382397404098874995518930391496",
                "15077386057931316243258966132228428445",
                "313167291478897298379462731667785110262",
                "305744647198133520759791327088154027745",
                "84601730272405975755003617532504127191",
                "47005048161961820833673224350697845564",
                "191586763508048196882006891258381636001",
                "155135411667459780023241804886036501931",
                "179777004082301216546949867654509877582",
                "46036145481838074050318529961345738175",
                "145195931219756563642606068519140175264",
                "329450346815015962360606180655110018486",
                "172034253884721727615880610955916026510",
                "41613530484188902180699549580491729145",
                "90371921072470444034529409801160475058",
                "9085085282063894643374054503041432668",
                "326591117618465228225699238468398425230",
                "218837918643410461431129417859743862638",
                "196626357983131698330121323684590980361",
                "104182581683013566145870807954112329347",
                "29132657985840307203859132079469744839",
                "64561060962322170602951654149164148210",
                "320890689519419660504987486242761629159",
                "43752975800993818113871469950044440251",
                "169977294891421575243949270009308927142",
                "218754771224736812800036579591729414568",
                "101825261839202124258054973603740658622",
                "256615156019606278825932746451435211993",
                "246095369818393361571143731267684667855",
                "314794693451095130138447134184619431647",
                "157618655550608024617078843042842482551",
                "15616333602937046652826356949045228704",
                "1135221766645833047545808846721058723",
                "331849157937110849662146222789678143952",
                "15614424662408746215304549559745772995",
                "229723643892089437566273026999651507678",
                "24464516719361659183835164327014897222",
                "265764262613209449606054195245412311448",
                "318605819332922596781778821160187759862",
                "195686492994993012096002176974537362599",
                "60193464504599182193899706457062404301",
                "62730680166864243490969914155469882826",
                "137061856066766358834896307407469675792",
                "30137041260515661715356186310798615331",
                "302079257186390086623781923406087995529",
                "265360490328825092730236761010513314",
                "289780946826930967417319768624064672696",
                "106155335175646490700891026358194809310",
                "120935323205931249494157561170943361831",
                "298166198520879316450585295562392784920",
                "290857756162980304296877903042301945201",
                "319912887260554762878613474150073828658",
                "193460291659485604327885998088205376943",
                "48013667779109673863780795686801020242",
                "321498669008067409365886967527627558477",
                "147834495176503022670032392840501367466",
                "337079030523763238654572978029086465830",
                "10130069196646811883486211246418294563",
                "20844447393598693540957357978764500594",
                "76346170608673408611794607886303207067",
                "183153832175229782798566108932891052928",
                "33765009418582810583403141948841983146",
                "204275475010593505069556517636111797588",
                "264351629131336363591017002547364886767",
                "191250088609763696498087537555926460384",
                "172914657240347592924589602644564468432",
                "237144331277087934346070523051562849959",
                "116743375402754644585850769876008145613",
                "230545902292313492363825679806511815092",
                "246240038128388822801317590466328017811",
                "243585845310875643421365342264495071384",
                "101798929433791106509564906730352842908",
                "129120265018305279156658959582797031856",
                "58228804656130281675541390164163008992",
                "269889617857884301167092870407709629536",
                "21170968166736659188645419587184915792",
                "304284785180427148597073052992186957751",
                "32039136576098677710484949594529664443",
                "213425905838446709527721874799847558122",
                "93022246916936841959749265554043450079",
                "73249847867320780221233659524683279039",
                "332673655622014602174044822328172592173",
                "101137368693974613538958249883242378229",
                "165669887180600958954024481256541116218",
                "240495312713025085706025426944832025108",
                "80147637600710456044677678525434276695",
                "53608024373321651887913864740978989922",
                "132767907404267944066496007682415791837",
                "111329408783180283355241921654891771487",
                "110671983206870263986824242568236813799",
                "56437503753208303422551016159875554328",
                "94890317513064500411988708976992286601",
                "17833432151600442072775656266036808989",
                "127374053059820725785825038397007505506",
                "265301769797675427502233059103021753535",
                "171913036407055831086202425729005357221",
                "200602861970428053320356445621561185653",
                "176589843466455159888686251647898205165",
                "122569858756222588891010346608709091830",
                "275161199467018928298391551094733033087",
                "140196384254068198010635558240974300757",
                "166787275772207414088192352267103575251",
                "237311634542370772476939021308009230653",
                "244641758356139435122721695026583270575",
                "60425866012221932186001226876644481418",
                "164603408726310120041584277924624833447",
                "196853969419629697564772619871857462222",
                "206369420752438408312519308447158303322",
                "214577781735269188508230053001823085583",
                "295715664153817143596922573751053851383",
                "233600674837192980231339147340309644092",
                "87333045329441073335871254277714006484",
                "41695852064830425758168852829957903505",
                "225758465143291126117599202074179580765",
                "16699434475769607347716185539071036440",
                "55586665275469395685017826534970433590",
                "253382225966758709494381092993585928553",
                "171350830409200034260310189299017121556",
                "20444590113700845239470977886445228949",
                "172200414028844544347579628460904019878",
                "31731258072563849141938892813581383860",
                "75202156277299699411118956093655321353",
                "340184062734851409654806291765073687979",
                "180758457833496495776289142624133624087",
                "208202326666944593317093627555803118286",
                "225208943276918374091678990987017855671",
                "82592212523289801050682994402218101861",
                "34690385642409604326907720125383031088",
                "242640096582281615738477471004670173972",
                "144263413539957867409138111033000699780",
                "291274015767039173195252259721970797365",
                "302839160862140097048817635233194460927",
                "77514652502176359919783782228725292042",
                "322259105966684593688846907811629500994",
                "246767247837235977930830672070408828354",
                "231449942639785579788863507768410385302",
                "91500077258038597750865492677720043387",
                "32269981219071689471433694560658593049",
                "27062679830464376098506505913493810584",
                "138614157143047553991720862963717721122",
                "31989665949697114732640233759637163900",
                "85141518258071734212056272145494715698",
                "65990232582078634774759647053156867875",
                "275134631594215674535886662499259994485",
                "262472876151614132024984483914458783469",
                "304808334461591944107001576669125355409",
                "49728279426107703411764500236305349041",
                "208875914940501412605388961116435795024",
                "14017043577734528243382630065524056785",
                "260371794709139376894327439268827193349",
                "142485710982422660644307403833841338914",
                "324756933511657216917710067801365959529",
                "116480023758337783048739998785933305233",
                "82109899990376779553087680023021133545",
                "182973426660099291801458957900222530763",
                "271366539220163082328670071704402640571",
                "92899282384587346632588503153876968938",
                "36617307485291217239890031217413980412",
                "238769861888873190966532126703676455666",
                "24860000898324328947288697842544970044",
                "16213623772573362524144316434315331947",
                "267539441984640688101511558660371162686",
                "322688272066407244566171660754878148588",
                "326545658531122211912348488705174105042",
                "283945270877989625107054545168812185595",
                "51271270725448125708936980620063935856",
                "166073549370385380767163112198211227005",
                "50309202251436805050692803564465495039",
                "193873916804581217713879099054163936260",
                "226856136075337794637370840073351591256",
                "316504303994943381359711370494859222015",
                "184960873480235837728213513254248024775",
                "16810309331324385710837030759880426269",
                "41570613278251429795645234544328014171",
                "22802436025029562556034145513517056800",
                "57675744996751187575417665751246548271",
                "78957467628205739338747281583219616745",
                "310371018601139938413025615685948087420",
                "68521535059499882865565821658244504067",
                "145951427797235351688341296842482329315",
                "253837057836016374674419095754152064971",
                "43950755022257583104598634103427598817",
                "77759196599950469283629409647087104605",
                "225540546803422907054915137116836840477",
                "176580485673521995877005558657177165070",
                "303109489741340624573383288319755787485",
                "170120420619565592942278154365114896967",
                "258970544890451766687497977480843794831",
                "52385381610219968817718255456130852231",
                "295081704497780047134056445291480892518",
                "7006913540361697887832478706004043216",
                "232647428045695544291176437622206410010",
                "290173870707333880431412045066311577570",
                "234306788673335263074103037747713863445",
                "200210428306708088424686200466558533194",
                "190550764187460949413944613651950046252",
                "226188488418362027716659521722206310562",
                "51298905257408505068172894670822821575",
                "198980408706863819565934444386882233429",
                "187898664549673795640748612695402772277",
                "102220583565463578811194859110869603968",
                "245836311496332215905099970050098057614",
                "156300196757342705809908835746518516244",
                "112042851218715548781114912722363895921",
                "333354457724153492450520162749983241367",
                "156317521659137128877316748579317874202",
                "78208586865122529444271674605958627590",
                "301303436334679831291142373348846089831",
                "273940473258203248412032595726608478799",
                "297808390773851931517835264159720207782",
                "115339028505468319915440933734045956337",
                "98596088479136569043990105642797347632",
                "274508134471286934520737243718134905545",
                "40615206767320210892407985314753536250",
                "165048257329605685212341376939476250951",
                "274538682308254921910595232932659170653",
                "284794653144834961737764959571841077716",
                "188288344575207929797141312286840112758",
                "11285728257528181919680332895014598189",
                "232526688539486393335621082081352423780",
                "310735230461379520413397708378845500287",
                "38120457826698929131510667564311319124",
                "32830724175683039538301079226190635115",
                "45827371983681631371185048739923764042",
                "118419699564052020759192660877954383638",
                "77297989273349617484061859849051999097",
                "267304591886458603029576274002186336134",
                "241249946299286170183356961593601760611",
                "213396446383213629277219997474686081981",
                "3682232101570245369917948283797243905",
                "178752381267720608378045220736347931789",
                "155147717362769959616296711713329790057",
                "292977881969415228830160063129647444593",
                "110049134666452007838313941677775414117",
                "244429692369692842395114990444293523572",
                "84167971539644823009236634755902623607",
                "143572632935732258382066184494302606483",
                "323885860940563826620089415822631457000",
                "19159518226970434755527113271871538662",
                "26897646950983939746605345160010431474",
                "219238931958536301955118438593662565564",
                "76764597296751119914159861502484708603",
                "192075666973590177135930828325318245644",
                "173690769977362410558843911545324085039",
                "196950109334584164460778538066976902418",
                "2533229004874650871431246815764832803",
                "252939435944110792990840155317316821741",
                "309646569800322315076202647487558246731",
                "77229688290575018388481258197638828603",
                "164939321504180103309355989476255959393",
                "313725271635478737208053982319923390342",
                "159952246126426316793617166827439331514",
                "81165063806310753263019684712782119885",
                "237130941650089574019721644740433986246",
                "49658027408330627771826737866620262708",
                "145598441131259093731231539962429458333",
                "275913490235759927305977277365223934069",
                "206861808914478194299890629973289040466",
                "310288866727423616911240851965747869109",
                "330363168966889263776934402449794167806",
                "254198006025327724687514478651506523976",
                "282100566609275661826662661039856524151",
                "293379465737306360814668579486024596611",
                "320338609189034945630659469894762373936",
                "328123971907627956793772507503750673914",
                "316013129392286410338914930244240237500",
                "324173289771592481075408737145573185416",
                "176885544188992765935789621546130841218",
                "328485501248184222125625571036241352359",
                "130187300094685684463034886881105193413",
                "5370103770755114862902128728797754351",
                "61336067096484634200373653118018360849",
                "333505027501199088574586615719983551735",
                "261629805385543432707308929487417891569",
                "282101704914283985201157015950713535114",
                "232094750697113335447098532431220476474",
                "329368223391701201421449869357805280197",
                "112981021068302469837938147494398412074",
                "2405157404396270582374662682372389489",
                "157038317708246228711881582468579168868",
                "125903694830251776493328870171679133699",
                "220288305278343812854382326758595921242",
                "316306315759789664103438282213646812954",
                "82871733809590498311434949334810008332",
                "56603612817208786143266364646304152155",
                "194623021345348748380504249476869116096",
                "137537120637883243733226233798278073906",
                "233655386347465144244550297281967149977",
                "332030754183063694842965701648022842544",
                "266656781288627054902572349274403664427",
                "115833464844635361003706883896266504771",
                "45133740161706883463561327418674264466",
                "217931391247075583948851269057204085248",
                "124763660129758511609820902690099537027",
                "245130606108100906362364361727614415027",
                "157457793270843364471281936077365852441",
                "189145127392053568879992318146230372209",
                "214650920549102065445643024861323657234",
                "207534473837493008521548572520407773583",
                "29451123889809339248795632530138302496",
                "5494666180189558781550148945547835401",
                "255567982464503936663154363494829488906",
                "281464959542790336116898995159600160139",
                "38959105797109495155258266208709879475",
                "20133589274516177061268824260132074479",
                "332733044300061616226528528222696828225",
                "162636616259403005264593217682893859285",
                "75635791395786101833707281068068154439",
                "221864359588930020969231216243117389932",
                "255280013199937305895007399700258369246",
                "161762403980317093363044258185805026469",
                "38694145021932114478523922060598114013",
                "237542921118033996773491355206717923586",
                "217685247609105131755382974743493777093",
                "152155833475632556880025176984010099056",
                "99446184037011395221849766183427353999",
                "76189350064945688129935555821138565474",
                "61125036131566435072751388717570559186",
                "195612859375541351586140028374891643244",
                "87209996073433668867318287899121500739",
                "197438760306845485927401752078694057720",
                "52541074161919489288554049785610397839",
                "266444746283551210496606920488654522480",
                "8001653607242662989051776322981932157",
                "8947346731218645332389561838381060182",
                "293010992097618789249128866825960519067",
                "198819141915660219688337739129164119028",
                "75221838546994374098889311796139084622",
                "275955811972256632989958120959320825966",
                "202118264382579360587704430593712344722",
                "255209312773207071980187239020015009163",
                "248935995324917307626752450126505286149",
                "225359576362662632833029470291899117894",
                "136379073013267370019212475404746245420",
                "23606772238154474825879420430484072607",
                "260968181193694753211276366398518302649",
                "258313088301727114840314928604108818264",
                "292432517872258087992448579553804459743",
                "35838852915167671110256144402440175922",
                "257543485045164635672551880649103991174",
                "34357333395702727017304280501873033385",
                "228817153358748743750619373760911525426",
                "120310500675511370920872490710851666952",
                "280431834076860656004068563018006930283",
                "319939847398418409857718966136125092818",
                "138077499621708429416138470916408253997",
                "906109253548338455002479406582244010",
                "95733457506695776744931230609548430296",
                "315688840006987300615422101514359084478",
                "319873742227142818379167384301464951532",
                "159046890944269427374105186568419887538",
                "336555528929062223028889418612048114870",
                "135026210111180284769733111402647354751",
                "38984032799773984752865891203292694865",
                "270736549629112826754788438388356627679",
                "273920016509816010511789939913649144347",
                "10945105073858523278301771279043630009",
                "261587498580184261377409783087200717737",
                "274884657383098905377034744059586589183",
                "195229846740557594008332123526185388894",
                "295100383845017125306528091015131715005",
                "194749960525300665769038301441527465111",
                "154596911322524557228517612322075773886",
                "114952280337708209633996458382585988601",
                "338152445551568917522481501674238879802",
                "231271737844479670083746296072238623350",
                "233076082162696700206904912529889961130",
                "232404451369302951441833151514876665361",
                "156538530907950764801405901058685243354",
                "110885223410392989618866988377316181240",
                "329382688185060873840535920143797371001",
                "304537930596529560505481804441243963845",
                "199157451665632350116291084606463785662",
                "34589626594904706114703175446308975360",
                "109177384403822863756833000104976562831",
                "147579171218466927699502668364552567717",
                "143035475187414110720801811687625582791",
                "121822278442492836071025157550288191635",
                "115167162396114536114339168858070326595",
                "77966931617839748497043518443938760968",
                "331004741015952247923727031231742749599",
                "188947924555121865010197985512923824561",
                "276747844209064546593041737859559396557",
                "98298026532484500042897343962979556478",
                "122447995152686720068004972565703571242",
                "264883407489408387245691498411089862134",
                "5159677279449646709199288881575385353",
                "193016427771216315599631996553950165965",
                "300507295208504582450464536092344237933",
                "37575868354618007256849360506383153726",
                "230654031896231009849013144395353427167",
                "154467306585157460837564440599467908410",
                "9638670147027673198574661381747673892",
                "47186692900093292071664475742792371884",
                "214246445295864427726595706462643587389",
                "15051550547204393000234115805956671511",
                "121099723552040222680189081818289547706",
                "256779506370719528537728420334193111605",
                "108254261282115880620887380686116022899",
                "20494867953992388073851583010849033235",
                "215407702791109327745848267099807964680",
                "62725463352193479443678445113561800716",
                "99147749563819941380701078595514303311",
                "36597604807277680030904553266030797478",
                "335791629797645065816612358751831859402",
                "302607992160202836675325509067248294433",
                "326676510339251142597351853834426021345",
                "20396710948578005023657140355062168745",
                "207984871748610466341327798069113338165",
                "36667914011839660404155231387369121236",
                "116602595701924199625094990864769157196",
                "4694319650471231669761994509333021564",
                "331350346129514309473235218720562887531",
                "277778941848446731391584021830696099737",
                "9668524172880864332245123463041748540",
                "55510237896884420957209324855577188768",
                "219614130398013070306819309657893911007",
                "302822770130443169129318550693768871366",
                "245525800855093371779213700933747586538",
                "138646067051974068285830868322312709663",
                "136518979692355444280106504900915042314",
                "135027212820653704916205443678976801349",
                "116325886160715155932928486929218616099",
                "316050097081836117051341316630172361134",
                "278950419628665657080712885973583907888",
                "56770168694353058751338385158148531173",
                "80855159696243028404091257988429930085",
                "138500259993348282851900855789884825720",
                "194805718003724238571695513709267704681",
                "33459240813514398691419535722348001780",
                "30499090373423969560803367903341617973",
                "227274712147848918700074023765234557253",
                "310677000367720382428255364988264107672",
                "315902054352940486522942628841200584996",
                "205621756668799563138044947503365731308",
                "194077367093528914532959732091403571119",
                "82682530117037250209731985867469521947",
                "159078330253613792961319126606310384049",
                "311162233180899443204990577907939178023",
                "266409083776561652788539072873789711572",
                "105136952211248171988187526714332377080",
                "312193062691745049679046795279588519633",
                "48187265059456880159678327315668412340",
                "21279360051248605772657585397966361036",
                "256708831228757470643621886022249307818",
                "215512265731108598307738010526065905539",
                "287394332867558879203090436223568224227",
                "43573541376585170155033331312575161878",
                "158768761075851549687170400843737348267",
                "129674425967546580775226155439862376127",
                "206230903767243973530395818575618201780",
                "82560183884143441357510629484807624602",
                "234136450440228427521940197410242742723",
                "79284947349954611621210066296146038697",
                "214201428333107523971580077640002160707",
                "183934778703973603995647175478199864849",
                "113139583443359323256148687538122051274",
                "127116785822702279556636995701909281727",
                "63776437289636972393038906940439106711",
                "126210191807145142618939415514989043840",
                "258708211094257269232736103423761091703",
                "139650776880688249198110039999633007208",
                "325030638915801634404742473936558536443",
                "114398680651040023540232316178303021221",
                "79684944690474261181988212184867355639",
                "315248652657935192635902217217212534876",
                "231460679050023841206381864509182691681",
                "18739052896341120152195250824090568905",
                "97514195444649744982325251622727886048",
                "22350989304868747014083129264088053397",
                "279211104120098305146534791595489638902",
                "169621471863244538269671538360067648640",
                "101231576686309229150343071278505635599",
                "292344099236957664360433335684614392061",
                "34025611134219194392532400825608118284",
                "50389119164276448272832909328059019687",
                "101693142927043954265087914234737636076",
                "71236921910254168772209864492566115613",
                "307847554208208466045786763995551297413",
                "13856558583470985169958205806245480895",
                "90821882034565650401788258172858458603",
                "134335140973385744197780150011247869722",
                "219834438510073754068273234392998356076",
                "264070008659603951544502436074229033690",
                "190034303853684014552274753393463979264",
                "83352857996605573801638524736771114522",
                "218111403904467915926220558033635775486",
                "193265321443195705541311764671732960791",
                "108026375897060054512188107612635021845",
                "113376928917394425118239051786061913901",
                "84557168646855668768868671210458067472",
                "208381016281495717502497126965219016894",
                "150177820018301238333718190582741877544",
                "170737729846356690845873492810165880858",
                "329314791026503269311731093971582772408",
                "241639135120089294774730603548231447119",
                "105042426771689983550417343632218284225",
                "184836113194397776227225619740093150363",
                "281206528425094175488085953205428145081",
                "131645673903655614558426907422425811138",
                "36458432550838290979693624599468099308",
                "158725379202976320087416757554113449956",
                "271812071688480494689309894508637917853",
                "28001529513918065247327041773488094130",
                "133426898707352459939363503918448507607",
                "217052301716019334157865863056143970100",
                "328912829878440284959902735754971928568",
                "306593840392661391732827942604842530736",
                "295742632339727809833627544891319575320",
                "139802020874076228787644548864283151545",
                "243677536046361311384713820979479472969",
                "211299278130238255584128291330229726003",
                "323828476482918007376532053100540173105",
                "338620663611691289458841101244733807584",
                "211317386011978924140480772107481349217",
                "112284823315811767322587651028902337632",
                "98399728092649077371954371299720676390",
                "219552238076167026212490590231274320531",
                "90320203571027633231391308824006093497",
                "89837603344388759169118040106130872784",
                "331194669359186584444742285902421887607",
                "173677108496275133738893333393542332089",
                "130319391268873956343638135342669492551",
                "121873424426775904761332320327488024734",
                "165307922727453395805024541622907051014",
                "309595218836841706642666315865433451408",
                "324344592147346567255346488381304233763",
                "321921527133969857493328662152764037114",
                "47508034353339109325515526025099526982",
                "105829426981370550494631228598786451538",
                "307585199248561966697909179689098327353",
                "323951868571670074557235262804985509358",
                "319783706034054166036128792580930298500",
                "223235447289057081193858092763259677239",
                "110365241629155284669003934342603877044",
                "131956193487296215973511838781573626150",
                "298705397356877457371602752702730561263",
                "117134961760983073516964251452043574241",
                "287636674402332388851613130494928357792",
                "55153908573740802964903048328989877005",
                "301045414098080201754782223125561217030",
                "83538113543041348312601955382298158034",
                "152170861781428694176463904859203278649",
                "24839342505350961261719208496442138214",
                "260010717686366528145739304621954891744",
                "128131233940626201455928985423211808289",
                "51569315685217526253302672446416117699",
                "196720548556297010340639075940047198327",
                "77968548532589977330982104231881111921",
                "156497143405186985248296659356784239552",
                "96624253779905147802367786264708694957",
                "242766321565856243521125970757509222014",
                "188145130856392767366968864205263494638",
                "60034405713903383631261655985744155627",
                "94006776994675711181142245189624230050",
                "257802456957573330101606490183483453695",
                "287654278797986827640752525236004222562",
                "62991924047478126106026221052729313189",
                "70651499212486827153857669659049730968",
                "317969955000905339838822291020443464757",
                "21999993503699942305239563872802786474",
                "227597599066266914890617820622447271727",
                "206767856698555002143591201031702285070",
                "43458901184128892694065386109614519631",
                "211886469142047063545067814843852445753",
                "219972066993017601076279222820507523299",
                "322444853134770684779722510588251898403",
                "28284233030985165945846331015748064308",
                "138780052087439233660411814325291500027",
                "339355007179956134054578680117230124951",
                "20257707941904524351686822315566953966",
                "34021497045916940718846469597741432827",
                "311921918280036147557310980490891254981",
                "135134833630748552024980498088055126046",
                "190062726453097237089035432820949529875",
                "165289762308882993831852840976823961845",
                "286819890754897942939526391697264796916",
                "170517738065012694800907810001942359108",
                "190788928670223418706697738389393935177",
                "309461890211574434784352146811299681763",
                "252018389071118307006281753931585661137",
                "178957717425110093603440516720708469926",
                "77292201331544845078272980696067426518",
                "215421510203941075991397741223741872497",
                "273362591587951442936321130674998756091",
                "164159688468545947797574087631477496839",
                "105094752884522659675436404208888271176",
                "128974867982520044097907861061703094789",
                "90815228687640276392002780873767490025",
                "309897129875825467403819863553298089510",
                "41721668823157901719163346264288289051",
                "210185210796630268804559870012889438319",
                "132637800857310855320075298579162503576",
                "196892489581272620587990532496422921217",
                "59782860062010757718393956161433931534",
                "326680921613582706855681311088109161820",
                "106401389570595908920494197549317576402",
                "199313391089586445985897610346344730910",
                "108765744688185217071053403251833094857",
                "68460079305049268113394814183060582035",
                "158554750899971416098903675915608607872",
                "170081446327767277959791643548107988565",
                "290455745740509552980267361233122715741",
                "91523274950431004425671619834891518479",
                "218739640599155365832435050613357444283",
                "275725194348724500913351915370018236217",
                "243095829628007401894689482546233545248",
                "257662009906684656868278849850603806350",
                "291236118163484035404995075421708780945",
                "167878789218074012903159662769783726333",
                "122661490900968635659024606847929425547",
                "17957541862032288008713752419061549885",
                "245441804786917598761562362018156801672",
                "155352570412174438496346944740406067810",
                "290299166610366275381281882050737828001",
                "317955114728040524192537150852653108784",
                "18283393012094196429482248219423205376",
                "135935330240607209272182976028508874337",
                "155734055041902575186016442053926483403",
                "45547164523950569299965209946738541361",
                "99591367117919145768766463005372447103",
                "20894551626278368517067927324194119977",
                "44432100051450886093655316427536096546",
                "255747659677231698245052479931727385861",
                "406731765512954155880989832975852011",
                "231863092788272319421186454827875119611",
                "188590986097414926085002678964317977315",
                "250334212112887665311861381904878859807",
                "309100598690307411719288058360626702389",
                "197030573900163792742712303434332902144",
                "269309605796063169663474101946021104872",
                "51644184685533380692599744160976496930",
                "261885925121794412443819213912281321753",
                "321072677080754496272121588895805866452",
                "332466386035686468758469296779541686564",
                "216399629060092543754846976537644289402",
                "143504717104542099271805135409571443149",
                "212437239560210607502780223814020938015",
                "127871020369707273300756284137478199351",
                "121302449393779093141469926257379611051",
                "11566308932647009908145502184836815307",
                "23705614488501037090933651171720235958",
                "221419596000392224274165932988859638289",
                "80357262764450621355813020568513210535",
                "336650966336375802517816808701184580909",
                "111036498184647660618634727945957637560",
                "224550817314551524427466580186014612342",
                "277406422949103151439445608092259930929",
                "16614023689733561313896542395270097081",
                "155743440055731711078244879428513149311",
                "89037981630137393650348890220800736915",
                "2331602024939904265248024555399707194",
                "126312468585525926705413376271503812930",
                "80288617528484766369160949357351133164",
                "160442640335293959867646329461594707152",
                "285912412858882836907791201228295707684",
                "70421255093174423057716630110611792895",
                "337007140439312744085038461037317831751",
                "316705090804293294731965937720692508431",
                "250097677933494345973891044968977044425",
                "197535105427285818958992657157623870295",
                "285575471656131188428682749124999795960",
                "81243027209738828907940736231040588096",
                "275795674855810694674890672802348058385",
                "307863124993906505417616922066856290390",
                "257398499195454982876522949800926528868",
                "85479706154504385099565055523659016190",
                "304816525308738996766017633035299401544",
                "131422240153901961622801999874186365137",
                "244862944997455676408536610515257164232",
                "4445079580707226172175403689274400484",
                "109429487686466326835137615087866479327",
                "46864286702670454818015803658178337430",
                "107609205212640031984909103453688129949",
                "177198021929967427049757567153979989502",
                "73594638475807521941371669243264005063",
                "165374645483258583201643749179075604614",
                "302219204331329134871344095394428218550",
                "180234147140433129575493273976464080082",
                "67190411329145924473430866259737124517",
                "4549676169161706357469852788221326592",
                "280071240574836045160411309858032547788",
                "109050738621968261818230628937744802040",
                "185737334726873686676888836009995048338",
                "270331543755520837260189684430722668981",
                "241879500098855779768004976948438505027",
                "285521599787622553381488459087573291332",
                "62160152585681688987053378783440046723",
                "182756081016452381353975230448460601573",
                "264125298698450723949112159167815009490",
                "336843595850127034851536593404023562240",
                "94490429719861321173589902592894809635",
                "145450389945226520263346264520846784190",
                "52094576957427067275652643388437955542",
                "119042152891255004362626426465474296695",
                "70043206499599003406110194159004989715",
                "64267910813591937874661651996046169118",
                "139893116856765995159548962529265430252",
                "54693881074868518803409168450859577897",
                "28982610984683106244784632992419022880",
                "239369083335362774771820943934444006308",
                "20884539572671572632796106430150614808",
                "59331153870900576421086810712670593006",
                "234104085576061062667461081899195126249",
                "153002261019630909618961503792324379165",
                "76884210125132259732301827421693022276",
                "209896391877529916008129064795766408266",
                "22117575966348753753547662606719024028",
                "120693642057027388353494096573097254228",
                "264492196414985889343526864858910205690",
                "339532399869176162261471059961718935953",
                "316792492487470448025696421444119521030",
                "33371834197942299802978119135729007522",
                "219623416549881445386885106567036700729",
                "141128688757096089411696196679318623786",
                "238205580020390721520061899329090822486",
                "214504362185261442075317979156786583519",
                "260495879103091853868449854665166149512",
                "320908091628904393857763209660777951033",
                "36337977320995612947492663937664455024",
                "218173390742882688512203806813116193952",
                "78108372547838115887417254087089802038",
                "144683678097086823940761535182000390800",
                "67578766433757900385867521012451647947",
                "131987490000249190594152184788398339029",
                "153882047530147157865696968850757375526",
                "114352577087415394490603455789072205590",
                "268927477452118530979738453721647319454",
                "189848884789191046802429206101061481545",
                "129372555042213371956856408100700023534",
                "259813349843655524642529206786353099827",
                "112149719544072843370451708388543098025",
                "233870317336431676779342619482350738935",
                "126600937386682025378559828559357439259",
                "259732262084182657230003660600579501165",
                "130523329700729444841383208679069444269",
                "325154029175475564467908472953577868063",
                "157387119074415768812889901865617712589",
                "195328134806694497867891580498826036963",
                "123180248739433464646476827545417755294",
                "312132733393289923412321363539224406911",
                "104501489836271801114914266980556848247",
                "307593958403372267354147595293789658285",
                "35489602064579754117886733840628657103",
                "33667695348139571969167434626921212662",
                "97515384727838495465140695373672052615",
                "203063940709442466398706711445372991772",
                "229275342228348319351302415361237756414",
                "150029511737123344017623787863879360399",
                "10400299026099751398724955572043562882",
                "18418156103050648156870537303961095446",
                "28150744747308706645107091231305781667",
                "272908344836891332227133887079040212204",
                "287168398395217194771889467109620123856",
                "191334292376752345837711059926902590765",
                "206012254269275567574184828670189173043",
                "278301719339755254053848038090494274053",
                "31759401805755047512929156053596784374",
                "211652674337545103586971165206514705431",
                "112538405907105700621618785283757464524",
                "300313569444088020750683773052797790307",
                "46682851817752848119460779547501583092",
                "9982299217105533070945573081081788610",
                "157998699169309650311959868865856851298",
                "43012698110756365088540265767232329453",
                "335217559543688812037554329161131627104",
                "39511961418475745471032606277885370849",
                "246377090252370504410244697954145134455",
                "90763241948376702152456647964809649078",
                "319957974913497890861777751334726366370",
                "140195700775954552743641415797588955024",
                "84360853800316042595027917804316635048",
                "4933230423664667482524600849350660083",
                "296032491275385087401817058671326744478",
                "103297897333174999212642838422777891511",
                "127103121262150300271129113232305369554",
                "36456739795852263163194505126054541743",
                "133044548989418222752903400982614752972",
                "104765584278411609872854249621088754567",
                "265787469818356409737964610606152678025",
                "338637687215348381044684161769410055986",
                "338923853764297205914385327443759251027",
                "208467944632766033760454714037647543578",
                "270260923875720865947758923293212423185",
                "179582773288417348098566369531897729070",
                "132799361147863385412135377723116559252",
                "276415081968097909256006977293293966855",
                "66643704047162694755242124149382504293",
                "69363839966859884451804172844844598902",
                "298234009327216975635212793937188607794",
                "255415015893186561609602793517292572316",
                "157147181533423492637964196421292377669",
                "188633223061301924242038777823041083918",
                "275702381549973528557319959364503431992",
                "4406981923766205263210845253253417419",
                "199646072641589765140515916993906705907",
                "313391947927817966587778060167900654348",
                "268026476512187010642027031273930306855",
                "221136392454183496723521700693039122109",
                "265089547199719788092163908687333934646",
                "319392161490268876642643188141508230180",
                "76624268563663542631379095200713410774",
                "176178756159314605740802622343559012366",
                "295096465921744309011466879911642082230",
                "314845681742107410473299646720748007190",
                "150335612202745996825936666235171221545",
                "330968974081199466777233716395423484558",
                "158908966454004591072854481589563127876",
                "69304664956286584490016694955413244568",
                "11421259768450017266933646892045806057",
                "237358156784014455049854242335947541845",
                "30521250504912271545777663138459279394",
                "231113644472044407557397265909981723558",
                "281139786864477622079497202213958035816",
                "195376596165206219458884454483469070738",
                "273123931493039479234966805944690710299",
                "230644581204252220652379611174966378415",
                "91547035512564592196293773684189018687",
                "85114303262008007809615025957741881544",
                "41465964936141157161387708770239531650",
                "90951848838425098893434204085757547116",
                "185668945015352442328984479224614581709",
                "278224509101679720341577252471096243441",
                "196245694198943045685732690484231397391",
                "188346365026954236334491567659598858677",
                "304140678520526934654694431038861217298",
                "83895032059522854856410951039438189000",
                "326497950600737193760103136962762605782",
                "236034085244264808472409111118541548137",
                "150186212035887685701567413885196548544",
                "161967262554028458490344877407208967986",
                "323470295360602704268832785116139940826",
                "13172481822840143253764343407413013725",
                "230969902630923126963038529055926447779",
                "31752614712152368781595512376808440181",
                "278285169988221516720548244419595272679",
                "320478088150088287724500435710286956990",
                "207583129611882902025706343402734859020",
                "288470897862356891343997005460771826172",
                "310121646004371400583651101796174489545",
                "334142852522259896859965071379090267441",
                "205187728002186389671493246318778946694",
                "119570730016862971682921595290862055261",
                "190961705725213462070903617956242653932",
                "191054642345022010170057357794066268405",
                "51956186193741179873037607598887808652",
                "17306382090360440768015938096339485740",
                "162951028264341533871018953067403299825",
                "329992678795828050920955157328392682566",
                "154383498280491830211137278084152948680",
                "8810675587050734222548468827670578186",
                "155141090923392958173178609480904164394",
                "314920296578471979679071686278080321769",
                "229714077426138740031729647189034099533",
                "35515091940049524230647429757581276775",
                "237822184309946240367887484376269474803",
                "240306801857012213310027886028044615075",
                "184430301018891694405216015860642803447",
                "21309015117506650111879815121194853396",
                "277876700131008809342920255509601532176",
                "93364330793719285605629260339902161926",
                "27189604737209197891684629060123542329",
                "198745655286621190307424233468070322670",
                "221970654421799084823703773905097455398",
                "170697783577278175227437335643978454671",
                "247379833584255951872668576011949819211",
                "328887624833295512677949467959812287275",
                "236896564438431163594029769306467199495",
                "261553240953729675962644086412682260645",
                "159420334768991052359231534995079021381",
                "15354927648770770926242425849021496666",
                "177220080175132539380051255920527980272",
                "110296457951459860878330563184532284727",
                "81723510720146092453275842816469842968",
                "75858761572745685250399190115061413694",
                "66882117993290116978480250991200644480",
                "152636663921792017686275052593484054182",
                "90724940126484233502189771574827405329",
                "179952719442357853215050175183610428409",
                "181618539151581270439292475713287903763",
                "174562518399902973760513031552739988573",
                "69222293156664025227990976001765315525",
                "41595393651830627980851141554814036637",
                "153558351247071862911982721459075330816",
                "248860921064865464168678120461535569036",
                "115257465863448972335904991529590200501",
                "52880818243954587546727045128464576301",
                "138352514872873120094770160199111843259",
                "265745279492354928597374819870313019281",
                "221476473987124624219007148054614044929",
                "115227553594990775494658673824305747211",
                "71526096281153484314371450856277154708",
                "219847898436069956452568344736366121703",
                "14915059452509039737241764593227186039",
                "122409358279154486412274820800405562901",
                "74261640563095394272708700715252225949",
                "92356631285932756031985610487387828803",
                "236887011768291872334031450641884228362",
                "59277627854029122948932406805522804059",
                "117709499464651544974182786542264808260",
                "44708821024475136682381303854555942564",
                "308097722248040578540919290207161759188",
                "22737009822115581485804788393716488829",
                "181852871216102087617171195979078398740",
                "280482098504818040747411148348416808054",
                "235086583913356114904080175433661315104",
                "129312153331411134660185386211299733024",
                "165256734032170133717569346463131846956",
                "236844163887781426711609775725623711604",
                "179100530150108074366753180889003997086",
                "179610631348599733929911671375764389274",
                "66362743349598314960291706708967143800",
                "39565487615852232633358912055888703887",
                "221830943841378889623349430321737910724",
                "126366672992986326505014209397575320638",
                "190507455379657156400907727997231389562",
                "311142041659287529813922327341264637530",
                "185840352631073281377936054455428608956",
                "144796017314932087381246707867473056651",
                "78078554416373080992987185173262883720",
                "211254036205000454418977218289902614506",
                "289588321074058883831018211547928741827",
                "329266034087031243909034770233081519099",
                "330901414272139384322391796635575801801",
                "208905523727165217976571739223051436094",
                "165116316055592476612665340931732937320",
                "150204302816351562604080268393050967727",
                "231169839976508188121643546766706213042",
                "3525580796639741627467237575842429182",
                "174805010949463196289494170380608121111",
                "167891608805173086817324394737360579449",
                "227925916333796570212823652085470266912",
                "222956454309652970135527770459881632295",
                "134629981037466064773226919359809127107",
                "289508867629023677156573067512403052383",
                "211230268748184764316598417944731438204",
                "239696087618364650842480281836565767460",
                "196890460921357805254364374587012366279",
                "296618353529028661378409477605165850671",
                "157812293800362448740214553129799781520",
                "228732295535102193853794950762209564767",
                "317103471319205567059054320850395922247",
                "260335436901780140911684944337190837524",
                "228263985564701356078516605388531529571",
                "228704605264774814731604084214670531822",
                "11312484806634820533600819920265620020",
                "190939422060757510443995414794970926391",
                "46400373237489807984803849681132021338",
                "103656467852502887878372617998794610911",
                "22647868581116205749694108149929079808",
                "243827688507101769064741356221267749686",
                "311496317234609099096861724970563998198",
                "180413058791681345980505291072721846762",
                "156926335854025432994325304431332366143",
                "155702448268882058561226813329803591147",
                "305454189707346105604281881338007328974",
                "289693031879357820479979361449230789660",
                "269742229172771532028897235977141900185",
                "86796709753207855820275534953500252436",
                "312223148585239800830891392184720777909",
                "299126862171011226712861863104998159741",
                "80973753451023125223254081781368330040",
                "103063916316250366141000939005115309242",
                "225192715101896494339623051503659217082",
                "118666263074880085733225394405976617717",
                "290263366854551924844222651817170132903",
                "208078354026489926126349232874171498970",
                "333672841045788226524863000718820577566",
                "182454492989620749790906797214692804656",
                "146623322928496765473855268480783248972",
                "101070243652207398528489773969708703807",
                "294304353645838005501667753262623225547",
                "329976763628772419715331496412733389521",
                "294622667760823939107761665809427906817",
                "202853778214908714275749731836123292010",
                "200848542780787399734299526132075395301",
                "5298905381514044341233860566535361425",
                "144922003288269533816982796532104242582",
                "299046966662113115033890970045814022917",
                "317189982872902409079507049929875105194",
                "126927924534101213157274964530749814659",
                "153808000352163334879661046936075744944",
                "166256478875697746101798159183295289570",
                "206271112450552415018102653756061267494",
                "110078407442528079757909599026323302539",
                "109268716345381872184156559592735347299",
                "9853445447467014125652275866914574674",
                "37617285648408301310102066947442759850",
                "315196644577282122421963128149316030500",
                "90488620925644560151716667105592110878",
                "261586913140644361373108202289830211757",
                "245158049371990860273958592563239525722",
                "114644471277341908354294773750841449471",
                "4194072429023639417962672076369573460",
                "236103940616694295158936422722019745823",
                "182388471830912305786113348043089763235",
                "183647369608262690816386610433165147844",
                "15412806313482741181870331228620287325",
                "299238301426817753725772987709251174363",
                "335931408056998845470597556222288385249",
                "171879323052887375221861048918550445438",
                "186647387613101397966356358202887350461",
                "278441348398628068042073127759845574397",
                "170835133944663332700008467548093141056",
                "212001403247934951804984291303105198921",
                "62489298535939220035299253891102304112",
                "242820532949645612749076759139174717840",
                "83645781903521428186767716354785934512",
                "310249303399624079589638930704230019557",
                "78194376580118594834918246383507495080",
                "111157581078111005079030433138270364018",
                "305416882100879783362702798811054803413",
                "61102970063886285970849930437529791726",
                "139178832896939456894460667180350431221",
                "161098779219284817862357773040099033846",
                "72850246042459064281591753854972165429",
                "310713910785547670418258593214946444813",
                "88197870524284322036794417256991582034",
                "332445332787528646659871520851686706958",
                "128880593374308629479759304093359620227",
                "80519060725580946213145641843224969517",
                "9856454084202705010377284909639248504",
                "199075331500424556274708276613336755111",
                "196262204223184798031273742710982778394",
                "190235040806465442049305290476336790139",
                "212908401644122251721452697531959775120",
                "339317752216451982325804297627140792423",
                "321979457101378817754722419724504602651",
                "110364626013122227529497512098544493198",
                "75361205322404327230808195648493596435",
                "148320728890355237284141901615932694481",
                "8020504737175640980049579589501481401",
                "16448116293785129038747100648697765826",
                "264620024626649675002393578367489090342",
                "246159247790011485680619293391756016761",
                "315650646226280427962948777716639315873",
                "271690831314967156007513995355968241146",
                "331200786268680707351554008473515143024",
                "311971222166394080565118591422423098408",
                "62167852790215751192524632045989413813",
                "10255536390039647439829134756397339124",
                "68233491445358926017587232210327530568",
                "39846969970490111798075544452761841389",
                "7549298867321351336365539797173673296",
                "270391578281398953962897801585779573427",
                "275127508327380193085782864971264791193",
                "31693478752403466669282048696805524468",
                "124681797773453518270246048795250801159",
                "202167935574833013767692653112910721992",
                "62483836400308003977986953068270733061",
                "328382406256447938605686805879842215803",
                "304963680112328601772028620056714629669",
                "163783888039786288403315323096790413304",
                "227666274322563812232916127437905463571",
                "263529371747965096601259416939273546967",
                "81052614955227552208453448227118572801",
                "263118523100339743587519660641372017503",
                "268682147738661257248356137561084538625",
                "46939358042493865311034841850940882806",
                "284859447558120417447054105580651963337",
                "118890301946202360558185855300960956323",
                "142180031994956682221360196806929696100",
                "11234027494866025463945685273294814743",
                "289492494352808196257171057325829968898",
                "197305351235822138624536805213081156792",
                "59573817198073608508370531058617880317",
                "281104009688010960597179813873497640092",
                "92196007011636760828628579056465786192",
                "254644917744961409365405424500831839864",
                "247398835702419938658951505159833879874",
                "79565994808841845970016724426541543881",
                "10748500878172985667355513063303514167",
                "751594670416144624144365676145895150",
                "268818986206981154958751065655320867454",
                "194620215195262994064937522117088987275",
                "18312762721315831405135634780493057955",
                "115956008159248694786988963921115801791",
                "267059749398911150472595531125358543021",
                "66912828260919478772452612288262604873",
                "120364041209688511245782174669636445309",
                "78545346718306115826476948648473684612",
                "244583051816481299489282762330101429301",
                "60265869130098614131933198840188497343",
                "182760804980805367237072038408604855153",
                "170290383483874779758807501750467979618",
                "142610093679475190618395581433001264",
                "226413454558642051256750172916725902402",
                "26043607172662428118115992796424596683",
                "295899742488574002197823754169777150560",
                "5875426520953745521440704636243783693",
                "207383335160268366486849867775744453417",
                "170831868141398240698687322218659538924",
                "315171371095851946179022440453312404055",
                "190172734520845725675356143805846992831",
                "284877872671911802282894183747587655653",
                "283062806774945223768443005642355120219",
                "281673778925329008919271883789386394371",
                "165602354002825173962839879605263040369",
                "164776993963303432367815405195278734383",
                "9861196404468773540882813812984600204",
                "13314077741957723962446006192589302601",
                "148965388690697820725166778172275275420",
                "174368824050518684395356585952128449597",
                "301503271179264115588417430081382569677",
                "219460613254394364433230534082432160349",
                "87522515029505458154220849132768785799",
                "56106525425186900878348751759783914265",
                "201981630091397948174262406333274661531",
                "234491567781368469460953929180714955590",
                "185366620749655704407753618667924623356",
                "108628695359063875974437478600766408842",
                "31689747700576963985688460693193135951",
                "262330502121831732022067608619822948978",
                "24927425496148128476174006240053034245",
                "291367475095870691550195236693509637605",
                "6228817839152120269242458288467824682",
                "330120754987906947012946375761834874165",
                "262360145771647984385817906664620616700",
                "324934117918476915147895580646891379266",
                "125384598088535793380387006381974481467",
                "29514446096146353786043546930832411264",
                "53601225239918623381141572932838025324",
                "133433273555802439424843594518273988944",
                "3946906738480045078779285694340775761",
                "13029264468915058952781255964019873674",
                "211890203360035323865883420399561612915",
                "70380245597275471069796112671437358095",
                "304113845238712096490480339579868015943",
                "339111533837793632128037960043718623920",
                "97650305551076054456493281812931118407",
                "280114938006073507947112027786587478210",
                "53739148954847111785806806247691602444",
                "136551351440345928481161993781363488867",
                "299697832060401147778863617095766484864",
                "22784167395037324552684011456594603366",
                "307283373234503081157923594919679992140",
                "116740587822704722409671165160664899671",
                "258860245997701827333211211881205161353",
                "112298422906537030563464930906232682726",
                "22272718592025676402251694469309406397",
                "273121924668678137126658570896513984478",
                "317681956157263880033589058137048563656",
                "127137240822146499268106600640751285956",
                "185923744241776377203594027140975854664",
                "195104725617155019911193750393478208273",
                "232014058462534970480503481866702657084",
                "255859584460842612603102393002345069817",
                "166066271512858440299805751599519397339",
                "174686469558585630855700986094809589620",
                "218197602186526614586018415027049279763",
                "240057392005754212612644019947094559997",
                "169042371412497743267093872904384454062",
                "197860759736710733555691081737598018650",
                "106574190872652762087522072897916213960",
                "149006327750117485173061924978282260884",
                "334960709305033666994481497673036367333",
                "126942438687532284686988204510479324514",
                "303053695983583513900801106983785036733",
                "302559490474636121559704251155195183305",
                "265024894211298889756605939426821910799",
                "221089060046726301941860483492644830945",
                "184945740457151066687216256706472715643",
                "243727924454826300667502829557002003659",
                "154648166501565061151466584176912935538",
                "277201421560666543719733305473898065124",
                "325573699737432503602360152851408228536",
                "288095350273843599547148323766770754054",
                "78289584249720386471542202168163877663",
                "255031466408710882262622173384106057776",
                "226146002965045525168635993044030485823",
                "215222062735515164319102292279722474771",
                "154157693929801616906157051949748408182",
                "73758651930240375999770278629384956850",
                "263794172393005643010183610103359458427",
                "335671067797704899307454062814407141625",
                "315918574482568764029582803403316182829",
                "67301462439996400210143130850204370462",
                "102024169520421411684479410348610577499",
                "77579874746296066084609629448272630379",
                "100249637166098959832017981930391353855",
                "212321270900282837875982981500691636417",
                "295737172705330272588388067434689123877",
                "335512311346518738536315920399719108328",
                "192109611999233620687754104411206803864",
                "16018283544254384033284739234739617269",
                "338361456681470840701809412555342760477",
                "259204191865553204539426086327110408058",
                "148962857616845888939365463105173633933",
                "67168167833127314619479762309488976332",
                "197132318519736002036031960130560550794",
                "302241571367812353343278735971384697074",
                "137300761186970709486943619228471089311",
                "197719716920124674425501677298545062056",
                "3601865969415030510387051383967511383",
                "326253487463619547545034230867253895329",
                "196422687870035438984591247069075865292",
                "233256817415067619894197263581711709181",
                "26642932470699754651260586310290554254",
                "272988877446675588679284334797246052046",
                "53231948857293436651467532363590732186",
                "72067131901347475748965325319145170288",
                "220164222375465469406084676445915904833",
                "303371953850303292955143179878995079622",
                "245980685500423729267739739049299674070",
                "62257743469427552200889146032987234817",
                "123396908342060804823866782571487995983",
                "192582673490497395137917349634192554464",
                "179281942335362647658551738799653318058",
                "60235945926962299685117523694555829086",
                "268715084382883828018833387566344368958",
                "76928966922738120524486009586357263083",
                "255628813994263146886987244644603018421",
                "329100913379298722421476649223867828040",
                "182458982211081632565075320288673862162",
                "24750146015801791006231042806103639082",
                "25981945580087837940307425683225498563",
                "330409319797256656887483033502779486168",
                "255735933716573816752031073887975110705",
                "328681125480755931953714842976736392117",
                "316242446648199533800937879315713155963",
                "111505955434619057850466353717467085464",
                "37635196151560664885996508471326357031",
                "281366664603000086395736230816171437233",
                "128150152948952723304584157813227452318",
                "79624848646874274467594626856719051727",
                "169162493717563031638626747931836136947",
                "188601543052607080076183751298981532365",
                "27570661405453792448216151666022018019",
                "191650311813143823529417606145559889897",
                "253348929186077179418641925509235738",
                "67075025022141693801841842077665088880",
                "182146787709518577071167126470627548251",
                "48152347133430117567104081581228837523",
                "23472994950561383477764904050471064607",
                "39461723941302304299298385877787929408",
                "139765658693292443332338406241297083695",
                "59720130009943781859131120676336835036",
                "296979971116314612057176696998574967713",
                "281027164242975963384425817031368895231",
                "234199109403248774642090563171551731297",
                "228483520817974680595290855241875283817",
                "4271196254425797362387137432352502707",
                "164378403571342994084446249427572600369",
                "8068442937708773869984357752253261796",
                "160578076855045373060228502400465811545",
                "273958322672557711203681787526078820078",
                "172642864873041718473036449828230956377",
                "120499983169401615536819458139777280196",
                "303641332514197695483035934136293863842",
                "172963193004714837945690091800885124967",
                "2303400160536811228496079509169520956",
                "310528030354871015780389742305743031398",
                "279697940638855218602285897856436226994",
                "255865929987907052166521353997144499330",
                "182198731720549051829101397589061679155",
                "267320921917716324681795498686505535064",
                "63804819046842690710318242789976394058",
                "106816002433373172193558030126434714975",
                "249889377997615420949212497141646680835",
                "72334490683919128565914261896170015301",
                "102253761215050604721843984147160075417",
                "105028178527402921883309982693511582881",
                "275727429722443860208876880160290368839",
                "312122597674441728765035768653414827534",
                "258858560849959973007790126735305662401",
                "177679745684285181587869837159909416237",
                "12892391912610483149885430469392879055",
                "159043032720405077978206360865277138023",
                "283175323800275824256376714261248996815",
                "7223237501068613010041265724119271251",
                "55922576103301931535414270249281831381",
                "187217300155747850191484930153840681369",
                "200829615155921078799965293895217342702",
                "292710962330844012433448120477688101046",
                "237603288944151973529878603857266926200",
                "325916394156036404470029715475899982699",
                "98185223669467927664232157588286093184",
                "335275198447316213752866117252661557132",
                "93298147222532979084280398077842895383",
                "6772979298921610351340486197628970092",
                "87066838607509701098219888812640363566",
                "277598498024754706629282476327006721027",
                "44939328224280445261828302104782660166",
                "283927280926356844612747903403930348646",
                "263021100308613050113458352495754364070",
                "190016538727438320143335538221133174064",
                "96346523490674699106469168004953562165",
                "192661621829476645148272421435536924205",
                "257749005568672965755729328430268356416",
                "187630789807420037645133211226771524089",
                "206189008207392375782050027338566718480",
                "272741598444473082765810660535485775861",
                "329579008207386778685603704639279209446",
                "87117742156661804617978839902038022993",
                "50566274276015968889660020912559628063",
                "246532776290811288164098225173587813696",
                "119789726995245869544953388311087818587",
                "5874880673281086348664821907634808057",
                "275232449194125946016792635285752954921",
                "24589934512678364288661765897939021371",
                "228241821442983592249706163787624529968",
                "131960365365511718341962763102542736333",
                "7012681141342033292679524299555183350",
                "156860465570227531668121739870923262520",
                "62123409280159165616215595032873920656",
                "239573011525952661464591579593674923803",
                "37921120653477882034928684772134955781",
                "12744003955192549216420808434262908927",
                "242811912444671809427345710112341279497",
                "15349311434801553951403768657586682387",
                "187561691686792009135804105954491205488",
                "18336347710850905566604269022110558223",
                "54015870604960034644488650108300624903",
                "337167207612619299561243115264970599568",
                "135496714205302454573398154805971892186",
                "159282769165644259589549643693209402226",
                "293495672149092502918124870506691139882",
                "187756537782031940430679264609632149926",
                "36974217535876603891192530283085358153",
                "310575114851431800004776681826580121971",
                "97377484575672838166945533912709751861",
                "125352267140440522806874624812492103113",
                "189053995421255589369856368258109798657",
                "151891705924031185243503340325600683189",
                "283060566310123133785988994147276937806",
                "12696902315654301733092357887382530720",
                "231329849655275956489814085375124370795",
                "19053876175234957934292018307076226745",
                "16888195817133237999206541971241815979",
                "221780339744180735978051279121284484853",
                "164773617293561002882252701984168026192",
                "46852007884637365284624722111347410320",
                "152692846506083858322184894269295879869",
                "164725805454785170991394143932997523240",
                "130361727851987919586210982537874678940",
                "97254987929862328006319986852669896685",
                "336134887689333796011186270333312769316",
                "311040769496094002178875903120244348448",
                "251393196954007438544662577540435749400",
                "112549737801787286400402460888014560194",
                "182020750848950057380024579129971281191",
                "246962072496113235638051968743695322516",
                "181845610213297343269084545126193989283",
                "327310868212420978251969357188548960093",
                "15122469992477536680689066531951889207",
                "192177827936378829658168887851939501169",
                "80076028370812365562936186619017709271",
                "14837906920184019890847471183405692701",
                "39737152831278153988310542583183671478",
                "123694740876051362350378331139055012512",
                "236418708144054236834844958559418361828",
                "303992710888025678763908213183504004286",
                "301882020713591474203773657582075026198",
                "187256677317023803948607868161384893924",
                "174149895469529874162110083229751736841",
                "222533977167373364711734487870303933924",
                "205638353133746106625492382747302593318",
                "82017069824679970506761806761125758892",
                "113407718071572772410117931856860068549",
                "297942216746473987427807376716355930282",
                "278344057092112324912006025688271509463",
                "195245236586778692113001789316682044958",
                "52448729495694689980531334739207179074",
                "20566937582878986742826344604483356244",
                "182696877964603410123532031056146716408",
                "79159901920917851294953186302195068371",
                "218549769602619525786617969055626210024",
                "243231018701205209427199684236938002050",
                "204528692180816883476308940094060911339",
                "183416150814919158641040300445011884793",
                "88834948380696212016830847392041627306",
                "336109919473527745428829516642764924348",
                "306475246988222648530303195548676754000",
                "41122348476127512387221300354535613342",
                "16046150863844379967562427257558302105",
                "98165422430151051542856668530393948983",
                "167302321647122237467024558267148684729",
                "28780165547390245489101975466830740600",
                "109533533832822267037818379366170656441",
                "59469175601169510836376867522247509947",
                "117999481080208096061192679228620004367",
                "310957616595185411093154720051002616021",
                "177870151988735344710171981938771931078",
                "243612974291535249717553368571897919597",
                "228047726683000973927094109819149659634",
                "61554388829972594909022636596875878516",
                "118785087329094843267822300803418538769",
                "101158534657394092416292172951935903918",
                "158321534471011192190420086140810572672",
                "2841251866036309361278899898076242643",
                "105464215291509108319835034608179855916",
                "85120250056149927484405475674516623025",
                "151819025870485039689897854453988782853",
                "207373579879943713999654296200676132735",
                "335726646429412874607382047461370544824",
                "120759766471311570790759543631212144407",
                "198384566743141929556557428672976423636",
                "130560533585929119899376399919458860871",
                "212424652163128755485983758881260944079",
                "9448458354787219145513561639515399514",
                "152324634164618976815871362999585506502",
                "299745530139276683624715349347355394469",
                "131881627490799881091943554343272569949",
                "158009548902436522571870783942884151612",
                "91968786764164851209721362894882542605",
                "180778529457827780870946134420888601575",
                "254605753252495635018832862369508083940",
                "207545096982098631303311033250462269368",
                "14862982736487828981499445458026061887",
                "71082258914847190125380497633413624487",
                "244148067934343905663395548643782125703",
                "298522862726459072779481932824301435521",
                "36583637300714592045540419237002830322",
                "131445192080370469982909202340635279165",
                "230307201906658720654374617370965417010",
                "107517909003433424025536614194068893016",
                "174334288786762625344697058510201340753",
                "168241514440182803120453172783938324660",
                "302338186336994833915222225734200882009",
                "128786831597615732490302587986359782787",
                "84219985267484226276388516146971802826",
                "14331588504504890320316962168498503669",
                "155431252215005652897197585255615254459",
                "338600798446917394772955503202670303056",
                "119668240604527439450506150744088336638",
                "188536936174153526523794792164871755919",
                "329747190794381388377005229059771620056",
                "299802021251403791712990365520439367266",
                "262249219774722774995011797102245159456",
                "30746736944234081876536977379101040621",
                "121120829845036801324162990122416614819",
                "201646688666177901933970729778082554677",
                "165453831027686444982632820288892736344",
                "217286427299234191327497771433029298234",
                "39338264255422787288819295482929560929",
                "302803929482666057301786900428138532769",
                "161069755521428264281016650919311934744",
                "278700592193264307043564525995547462933",
                "84136814909828841754670812452303126402",
                "266913160341835602516607436383101504005",
                "176161894533322141602624967224233027098",
                "247287719500485491640968936669808178909",
                "210729243705110713249919641161692389623",
                "245214282312070670031148684549762405090",
                "55083198712670208743314116425913103294",
                "334538716373851343669564304786102144831",
                "180525828447152748588822288691402280847",
                "38321796393109035034166804483570776898",
                "103653022719029577082848892314632868612",
                "334534644961744305467724384220384810988",
                "94276626643627322349253595419989718948",
                "224530505639291713082451448595510725639",
                "185805441264951215171775497737011430674",
                "307845753117865632586070331050209940110",
                "59623225913621790286468616211653059455",
                "90354669069952756773707032770901082815",
                "119728787166572441666039357053252928388",
                "260311574488968152008419574401390623406",
                "137673066976446267210080165885215627507",
                "109077333178047161651686268672678028999",
                "297298972254723857440358375060995734421",
                "67448495621149119117755067061528430967",
                "209568242927973459627795890444592276967",
                "287396586286340372350037450731741718728",
                "167443433580236973737687381905110383019",
                "64755082727243194325873510495375269486",
                "188090495414229270704503551254784206844",
                "258963402456224690333916271850331557012",
                "225758850992565156922497853590686505790",
                "127903309211648856391407306349581049717",
                "115100290586256936154137307985220067800",
                "265847695698128043820667983978223972327",
                "224983896021990458267459441644956080140",
                "131192225527991185063353208683947586845",
                "174220349168605907059210909430291606265",
                "270553687231937761373558041587310113074",
                "284833267052330653427022981197463813095",
                "104388386932665418938301923228100588905",
                "272429165184000505989762485575501831538",
                "244479101410020774014570242464726445744",
                "103439400057184195630008485507435905039",
                "214461625649995509193533936213229156794",
                "313999524419456157250303713283140725260",
                "235783724432646600751063434865882878239",
                "326315432195895027511020524276790244975",
                "79362724684195140041663416197923357256",
                "97852496377720849606915949217570124234",
                "182092460064811199963259166098128822069",
                "64574201373001415357271042986275444344",
                "194437828669412101423433529732064656730",
                "128234883101106362183227192731532183128",
                "279985070369727408170909614248788202457",
                "75891700134729306699583473444740142630",
                "29992636207580157320035827315327467878",
                "78084057375581278328009561946866206544",
                "224721284938457867904422500317838759991",
                "238428776006614250429638962050067272878",
                "318467877636441929904828533981867265270",
                "17004917088205914585367077517167136529",
                "276778085999727371792867276724163107812",
                "167770949442338896966940898400709426183",
                "319086308005512534347475883394692662565",
                "129117007742339829172619385703087849771",
                "132495610659901914873168630853990471139",
                "155020954236258651016684327886481669555",
                "286362959233136818196770686133271241954",
                "32185215322679459673859403124516042216",
                "320204568196586181240285328245995497468",
                "695009891455759803672425603765929909",
                "690043535734535457577293302425201728",
                "185799758345872490100630566773757496170",
                "171691704464064857704203643546358592274",
                "133344569109848065397521954138189738448",
                "88481961074342359447091728807296466777",
                "318985461472070181303298492761118096426",
                "137255057998106380875383925336501590899",
                "216337868689412550490541707590116296740",
                "320561709671062030608337177133984583229",
                "279777076008612337863055257843321802079",
                "162751501598887517521072662880107297399",
                "96086966623503218666850828314058920279",
                "289626733609714325528841218886813617382",
                "294744180305196140604297919657722595164",
                "58598210535563224504970418415936578298",
                "45317735228186903788219135112253149123",
                "15238377280031364966611901275199521034",
                "11293615921573957332291349831648294994",
                "323116944481740639934146109431213741310",
                "39273053980103378181673607880200545436",
                "337475958740895425858193130938857985415",
                "71879139972991799936234853534903737412",
                "205959675542882414893547780685434049116",
                "64263871823103320212348540724410883466",
                "146157024844595637944745787094982469892",
                "214211212564341516853618119686231216900",
                "14123024205575626828428075716640771469",
                "302948647068380999514149896606962540787",
                "97072407232559643931596108340725764327",
                "40233223023560869870407190780141099454",
                "18923087614728294406054612747721776541",
                "82038197852959317470027732580448260589",
                "245130987219054881268391527465999128553",
                "106836560510323250181225598712511044353",
                "86605843652070506804405530075402175635",
                "61371174574261112984514922626332520922",
                "173278297115884349803104486978772531817",
                "153471610948128077044393536282804940837",
                "70920397186048753493536154449998273820",
                "340267205019356185547396813922179874547",
                "189165074390769738349864814939865810696",
                "305153041251984950189782221257960805047",
                "190949634652351438851598631468877286775",
                "109367914844451580461178939990397796168",
                "297229908584957490195229314128467496046",
                "99950119411618549220299560975019401421",
                "270109264389056539214414707844540191298",
                "140891841039889043768692704764647325426",
                "163731996275058374287686221373515937724",
                "204573429798966974633604977833271647254",
                "36677263979867334413701827588307814277",
                "225499719237805677328759970481215492088",
                "218155070787871266653696161768728907684",
                "197910618914061838207694172659110636130",
                "279993257107817056791685638864927839483",
                "221327978027002489001116760589173888122",
                "154156300088928501121520886208188991509",
                "39130861289735045114339044861179454379",
                "3253501603884246246213404037290372907",
                "122303315425513299956579390302915621312",
                "203543026420535057907340561091790196394",
                "135733891398138371158433050725023884930",
                "57296626994590184293490582867291572944",
                "294572480719177177613195956594286951064",
                "289066823226972549767047803392875354772",
                "185083187213265875483610794467279988396",
                "272628214075365062741476979419919045170",
                "29838663417057936906072569141713414718",
                "313617688235020861298374480043962919177",
                "14202610464632042507958658977917415793",
                "34113444169862682949698033289277513831",
                "42683023999876979289416487936406868536",
                "130040976868412441447644855241701036394",
                "255507402708619150182548711581927160991",
                "179920595855277412008297636324755279680",
                "70897790100433975789355519615283835330",
                "15804693827829044290161474762259907802",
                "278289679022038148180471168114752010194",
                "251352669653754387946391429508970823415",
                "236887124872949190826949247945068210776",
                "29358258165272085026410046378606793242",
                "287197322736541475612552506656849233041",
                "69669059324361552417847172340722776172",
                "11915638488780578827279442338064931069",
                "191380081955944281028276033380276414467",
                "315984005666031887742485664389564312604",
                "106360939028911255740529433646734824955",
                "320451362581155350316539898733441265621",
                "302203198759595633684159742492131596556",
                "86607602889748067558248534773651842624",
                "272493933898293837044548620010527612594",
                "197658288518692608627316395792958945389",
                "188669348201581949181437698943225945729",
                "14061545761779829480107012144436948667",
                "264150063704496740623199991561659440333",
                "188802902454815305273382670314391707245",
                "42210423772734249331131453178295976645",
                "216256212099022003755677463985261511868",
                "45818143614386942404991214103225370616",
                "29167513391777481910132954254352067031",
                "176469102776776763188921282674898983731",
                "132180099888523419317742710888157376306",
                "35623283296857185627688680755140067310",
                "183382028788311989040708537443806000549",
                "51347283717986197884417964561460938577",
                "47989280012579729487626497420721426133",
                "297410520011073642178193467606691686290",
                "324940172933694028070792030493348953327",
                "15486397393759077822853474148169970776",
                "99799838028512765313872400248921132018",
                "261355283240280051104391660207488241908",
                "313646853445273324996899246119613500515",
                "307019035277508251313803347465626142572",
                "219406093474922020976170105066848919813",
                "101910674279000673701210701581739070213",
                "39559012732167657557106206367225193904",
                "30542024916090581634021303645209478231",
                "78094668158219940258709594702251636594",
                "112774427780198798270149394224494128400",
                "138483677738607933224765614521395593434",
                "65947723987020717016386439916189132302",
                "79333827773048413726029001728647027071",
                "254977078326788173490687490557330049172",
                "227637844344723073257079001405885145381",
                "201720547323742791786991568127190282513",
                "298272426701541100823858408500132392505",
                "4415355686309664113641254515589324840",
                "18305035250945689943877682913348422112",
                "305648503753629480121288615125463344733",
                "109281908279796451644051460445636277444",
                "303636841917669855036832836955005248837",
                "153287200528424366119446847158896582566",
                "208159303665625786024448505066265959794",
                "279271572756071591107287147303881583800",
                "332297780325444240321165602839592540670",
                "92215994964131413622528605784153277514",
                "142426691787602125375718625111946783728",
                "329887535309732401457062925487445229120",
                "145291002673781600607590315110917405488",
                "216697226166562364952255269111610283019",
                "84620537480881881441339410268544023815",
                "9415230486301028273418217294859841671",
                "241517211925406125353061522499314147471",
                "251119301968722372562361444688268129598",
                "265827928191487000660130584507949110204",
                "112385701499741850091281132525337692900",
                "145671017740570267552910237585684369424",
                "230035405186697662836125604193503420576",
                "231100649841491249334076960963606009197",
                "237208096328958164625140292327063020857",
                "10696787786865882081694356449526784204",
                "132839440695566977482143807115195890993",
                "244045554912363868236122782826213590068",
                "49605764368802207635688695849388735248",
                "128793945459713586238296971919897766899",
                "204627775417276823091469521963853893421",
                "199812048832372209593688935948080929496",
                "286065276361453846459699825754817602055",
                "307009759921753912124172845545943553280",
                "187761212659070658037936666883795240072",
                "53554814511049389829720344442038983597",
                "242951641719520152935792464067455872758",
                "12406972936334751009668293754702412855",
                "224869244644743237377766434141438035128",
                "261160112610443406685873968324962302534",
                "248534229534274766769068910862481194383",
                "315438888343542484520372939936491486462",
                "314938502407964773166061127329669937509",
                "35859043159975631967036512534012142376",
                "234158434143795624520962089459932873070",
                "259202829628539385482308972630808483223",
                "207858850833442447266111136654331349237",
                "322299080809795999193630026707583878679",
                "41172632544276173556114230333933554384",
                "333678450039244362575662738239257722088",
                "269391160968451767055805187909932032552",
                "40165265748654933160605052981327963799",
                "43441641675656927570842584473905837850",
                "64171725902183017008229823971654381431",
                "283260339031721889556223643519424390414",
                "306541788887866722987997826532987440484",
                "175298416176528495803092439846846555758",
                "58672860971752014007656141045517926858",
                "29755454217749227465924615752169490720",
                "253019580474076386227867270418024921209",
                "295799022445174395834840949208642900663",
                "108917160043260368240917835159915729369",
                "54447472611730628018517190889700194566",
                "16780706186271545098984149224082308910",
                "330140966918744939492832930282383048674",
                "269960890264649753168303649203750599595",
                "86150086938981305224329013508748128999",
                "234805934710308726107316435619438950629",
                "200083796958374611848468816664321450680",
                "193706092324325161516314264747647676797",
                "312272304879866764534192779910863462973",
                "188623843697144725435081009700740711268",
                "106538234790096141155081273354898740307",
                "105316497209512978534173131798637242185",
                "326167249724905413168531397708616668532",
                "195661037218306130679138396682166975350",
                "251371571358500793269688644728125090982",
                "25331381172388678668512320382118733742",
                "325264349601893553196014687416470573578",
                "78855748056572628054795103892397161943",
                "6589598731023331897094424328919924782",
                "212824326236104514160149815707536167669",
                "264990088405081994093767466418326921700",
                "185722875627593432117732052631544386726",
                "170208381213854813577965490486293572317",
                "223460188020016837429444337753562834845",
                "61089244109110813569064785011913330244",
                "293550413471897471822855718600901149122",
                "105751230854883977707073563849417857229",
                "126109018509392483754976989083972187025",
                "119086720760201284825422593046825823892",
                "231150318955316744797177526131704315809",
                "55692342735026968300273644719733302103",
                "159062852093098101630293453502363625271",
                "92618491282513951230486092640428322962",
                "96540676836027032506456965461756944473",
                "103272884781675523910266290472377629575",
                "308262177279351595550589931611488860505",
                "205018721882822745191251976296776071375",
                "266111185652479972877950167869156025102",
                "281928869947930721140082874333783103049",
                "108550219866681361761803832867603259466",
                "81973346871279422343858753779314919662",
                "124672289135974073139641546881263524621",
                "169161922141891970569234125521767392618",
                "58725541353405932492485673740150912057",
                "46096290668829252283037288113376070231",
                "30004193044164641524347261400146227732",
                "281681421003686886899153780548840131732",
                "332042569331992211007292507099714971659",
                "142316004027313233381356141943874323857",
                "237189809601996421657333739864860565999",
                "250113882936718600143486848425002595999",
                "42588605861338723427439547784829676506",
                "5447195348369161884326459463402279373",
                "255921893181480699624627497461821032277",
                "157689359220706952851608801976979919495",
                "334397431658231076321583791384064544570",
                "170667361232513523961242893136434089396",
                "161632740725246757847728481770382848371",
                "80766187695330521645924792690532266411",
                "308954201589029804286018153327572387587",
                "275991788596458616429546533295685728436",
                "248402868558122116387713461294035974800",
                "261886474492055971937641196348517207589",
                "100619910048729353137306219125861843251",
                "194085082942516217244315920606453660770",
                "299953955153895303678696044006582167135",
                "292919263147032460778003394240998326579",
                "100186813974936035342700751992535351789",
                "269172828733184290749265820464960106467",
                "337958577545919616980034228758211963520",
                "215028645088855452109435567354677744595",
                "305300925207316216807279670304959505584",
                "214563650996516879465952321290900071059",
                "103704723562170546321722961014296323461",
                "185237334848824760643552938421663916430",
                "119357182715823857907678366867112744612",
                "97963585636439566959195768490966772527",
                "88087155404620817066070082841184417405",
                "28152674255275492306772092585070013042",
                "231317858083819484895355779727264636000",
                "436871273611358287096073023704633906",
                "70035972369254005515249133998913240699",
                "105564378615820557606891409659891872986",
                "288606143352279718641437447452945512969",
                "283023123399884076926182140847781823137",
                "335729509543849944648179705259981454674",
                "288331861569159659042765590932548376516",
                "302190331047083006004619485321893583745",
                "128458576963642044047309143827538927421",
                "264913416216807587562765752565295026805",
                "290686674467696530435786028832423214236",
                "185871321411982385889041990574860333460",
                "313117345814519039201187206666636282421",
                "205031395492606725715586213396001392095",
                "331456087397534855321091430038712398541",
                "153807224366878636909060990596220824116",
                "48651628090023265736726092796125097484",
                "73152204128020213241432843756117754644",
                "124697596184711266501572063509048323529",
                "264627866538117372488477505239583802630",
                "201258201917308947030029519732354078003",
                "332274595640007692204972699637106158201",
                "325830111047216495875567563787804875387",
                "240153601803376779289130994716312643405",
                "181902140201273874226090764777670928775",
                "26459836166750136672445224895551673625",
                "316244266568010681818584237112491855583",
                "151789146815262267185977062792258557654",
                "145375447014236242852656531501230050168",
                "212866447632626882719638155832316742418",
                "109328674325960679875808581191880073777",
                "217763242536060422389256245903713186517",
                "27266342598433141854757692234032020231",
                "200920576918730376397542115214977642944",
                "308038072932486823884353552269347429560",
                "22517815561394893637714328352939977146",
                "94768481620588145394301067200246609296",
                "65179964284049190890078800296387324614",
                "265517504387635396724554861438850677263",
                "323204338382062253905201240643383266329",
                "226282390247420323870493860611387631750",
                "116394629634249761638107976538831416509",
                "112447715798652347689761971530542185785",
                "257021838065820890823980125263978086073",
                "237447311631958798401795623060512911728",
                "222924469415856267044647215119204065796",
                "78589755018997418364632532766608935653",
                "269219483253704754833829289582036127398",
                "277950737711905630533608725808499960281",
                "316780915493813812857760385448825014234",
                "288433021608261801083963531553532045011",
                "174877613449693625267363396592491137134",
                "55590696466497102356592298807122115358",
                "33776499693205083392070265326580088846",
                "115262030977023909109167177711646399060",
                "256136477721895770327624813707648980581",
                "6787065496477603169430908302427691763",
                "27130799418669880337631557929579795588",
                "120542608721576996667124686925323216712",
                "51833978987951339155283350739589099726",
                "243099642339546908948318341138807492387",
                "187756607061578452681692091886103586306",
                "41710404232187966250298087785934039194",
                "65813175111496714686076782993575612222",
                "131160991193725315152073573066769167344",
                "270014498397938765525154570743759715531",
                "326797778142838574689768536750566264023",
                "148738672734172631693846745599384970870",
                "80191085579104483281641855144564110262",
                "336290573942036869858387789044048582771",
                "229651123185297301967599016409990432484",
                "112630651763014288573908881157527771161",
                "59493800764537011574579501635394256893",
                "323538845831991632777586037697066461953",
                "87351012019067649226260476150697752775",
                "264056844497621752688339460930910576586",
                "187603999443229464136234642206019613885",
                "285601770462441600154794857231373005711",
                "256208615314144846036778272331550505087",
                "83075433591444829902097560453982094804",
                "165668849884537146994663904484639324310",
                "112894610998204212221316267635524919940",
                "121954253929229139584282755921094318409",
                "210943899965914054765070647921018883255",
                "7973190879854194914217217701831865278",
                "324384494915536871765417097888682481922",
                "100599584923636780016356251428198681678",
                "324231135305376721430937895997747035791",
                "139219131275076177759761767792650538442",
                "311784696805121241212545257791106854275",
                "172668259511023290221425502558625574927",
                "3048937203847527242538360093228350477",
                "126934586846264914597405763095631846462",
                "49662050475824629522999516022380628555",
                "78786105782417531760032634900236939174",
                "270671545331497581942639930743696373295",
                "136680296165913374755380348263051356464",
                "286777554029145050562041863728332857269",
                "1315658402782592787000095334558912994",
                "333519401184193541310009155184315006565",
                "329605860762557252036463733591911235832",
                "89695651464169364656118904395447570632",
                "223254147669593286503999487729619613608",
                "115060946518367964340726247706047837674",
                "322583493503796182447643150905653313509",
                "268902571352659451016507310463578553845",
                "13072931782868164458561082274562149531",
                "113157011871816881308349968823500555539",
                "146696867618560007310735808886672199960",
                "319737233289401841053373714804688661097",
                "21462298208565831523240178897046776800",
                "99880034349068432397259935396980912927",
                "335827489074849761429989431316333286498",
                "110482542910183935374197955442161086299",
                "145784383047444449155742801026982141380",
                "256206074329212873568920519426314732217",
                "234140016983712352235018385404683644454",
                "297709200891985091807382093727189144815",
                "87644115834617090734276393286417390085",
                "337585655749980001340176904435313396906",
                "210058489109221223160494543795164067376",
                "116698544266404737228555336811312853027",
                "91203107923537549716725332386381352913",
                "70161161810969395118173539198634268284",
                "242531109916738108555593928966857258675",
                "249140045861159111966493106115622395908",
                "331225629618360008883586024912482599441",
                "258228382213128819614975568500706548205",
                "283600744222130198560083816302363395699",
                "132890311415319501842956662647288123185",
                "273200726102983274608783555885340704047",
                "72806491535272246367216261873529463601",
                "85127164218057665869773501755084955059",
                "329998648772339544389207494636464046522",
                "252815077784474778807559126587561049217",
                "55869862552168837921953595801871542583",
                "166694861297590365358856768410101866995",
                "55843636468671485250175741452309146319",
                "54830570126007631460550452521282706980",
                "184123496008380029625272267551243486162",
                "35514636191154789004897319828020483318",
                "93956036518751712809221957680014697443",
                "205068091576925943958963868530726145886",
                "191003149301919621772427741740862342931",
                "53775657845089580658972574689121404497",
                "141089961514637400911179366641986547411",
                "240749436261284675926119568579659347434",
                "64778303230714854682176844670348717856",
                "176636399636119610164606161770493417445",
                "328417476575369457609365804336820333332",
                "18452848377940161839182240661223950671",
                "286426021249306180103498894255619297222",
                "135075671935735629394471706311849145708",
                "285550397410741470291586438696978080530",
                "246321471108511544166524817291333875410",
                "150397337887646249076892170272002520707",
                "243253340676459764211793640095441262186",
                "133614454604439584403261172627984272633",
                "236710052756080454384771052448381043955",
                "81890841891229642503125388418871140163",
                "5595389882655922112313301917638461770",
                "40160184139709999087297129589399194722",
                "286264470960923502291934488085987623600",
                "329223059225334364950883853704115851337",
                "286637002909301583198518499039232729994",
                "170885405104369484247612319095420317620",
                "231520802572220895858284448073847222621",
                "295094181384714022062663051455453799554",
                "88252332091567513444767416593444868830",
                "312109424596841077918359503612985924389",
                "325891838512196853726754725132294386807",
                "139330938979327795501233769552668873488",
                "135579806426994874192760518073720403238",
                "305427040819822818296174704944214349473",
                "254482259635248344485445149618939738276",
                "312516730026120593534936504327413656639",
                "91687250327946903840478064645076989979",
                "140944958787044178562184070339488329493",
                "226979812406572509087301907278189268740",
                "40226128644634114485491391479828182704",
                "241188998970324683855470473782090799128",
                "311161420467093660456430732290689745688",
                "321024525203096536764242100789748371745",
                "234265938183047281637902509356835857025",
                "107118610102795800597757827162940841682",
                "483950062217580916713777209753798427",
                "77614363778466968400353410925603711299",
                "274977267982434561092180913086509077530",
                "172353471776011771674959401690675553593",
                "280351943526979397420292582383312271406",
                "45667117893633119390992691255997641730",
                "320193429169914401298897718015711535936",
                "121410423456546111483924011879621026966",
                "82440498169083209147856403206852383494",
                "277665003852780239497317903241462609749",
                "198595719027035252462821703225277729029",
                "197461815301427958923472251661238206467",
                "35076659878204166134759528609390105047",
                "123787869169039173067267308519722476030",
                "50718436180008485706648309180471197729",
                "332303781133267237795087885447465879787",
                "244235717647506984890137888931083703479",
                "325456183295581759808132641027020303331",
                "125380445492872577206479437927018648730",
                "250410622992024616015242263681579264928",
                "37865247173953796400443132333869856310",
                "310594648114371491298036183272673895854",
                "98319991239576372730584929724512478485",
                "131906913589417437256997048647996903376",
                "274404163053010528023039600258850303887",
                "306888311459679452045821947997831936596",
                "117391230527978147532597181794753869642",
                "153034902911657244279176070937294935330",
                "289390929601190972010670906096651807886",
                "279935944296088912541490497410748805053",
                "296913082060537985948363373030768340211",
                "29531720840106555179240763109730745760",
                "143952342123843648636176704145476289308",
                "40443609911828224947437599326567691190",
                "69232459928538283552216276974571956505",
                "18788859339406306853087201861251396680",
                "260799191038432278781829561863627674929",
                "229945941205442868279292089433197617119",
                "176190946866116303078609927247922492361",
                "304419686418636093454761404986672992155",
                "58211599056774549282768530693959402921",
                "28347239207786092135628798900673202142",
                "154247377198019228025196715603259748076",
                "164645958258912118466289213800063377762",
                "173578924557473520944989734544618646674",
                "25089042791674203436961826220767736743",
                "113042056114578104413703769454462583650",
                "93653161152768552019448003828907114947",
                "304091259577411858264953087748300030133",
                "294983917030563599363205053290627907555",
                "152249845798109488015016996855578944715",
                "178488475559150618754862064632201625391",
                "228841227005940119174257710053252878345",
                "309407222277814422051305328960560576727",
                "97728515711928034914573192230965310779",
                "187374499709888918600311573655029235220",
                "230305210737751646641684301801448419674",
                "82711693387202729298251223043074572229",
                "82961675272842639705487773761711540912",
                "104050727477015285451716430444356421028",
                "119590992049638567512780285944250659833",
                "111097642981590991488233039423527928718",
                "99198712509898287027112306698190207484",
                "33034022413954965990017733100490703830",
                "179337758415554397288613591112413243125",
                "237293516936320935072743496721670878486",
                "215827902704210260859934296020726958247",
                "21629116028241407456263708086382811999",
                "311883820466786320448140750657528192657",
                "254007883487136598644227406118808288156",
                "300876914661404447204078586060563760165",
                "11275789802678828773773741970283378136",
                "202316025964612550891272480565290543196",
                "326311998253113044053330100709455020980",
                "22218594873142833119402314786752265713",
                "138097967355340198184133269575087301631",
                "107452466036997480451978223587272712108",
                "105108441924941789228830840702370906394",
                "179016165591161048054968408810395552057",
                "23199061500436545066096957963324560794",
                "238020694652737956595462344291848353271",
                "67936073267532557008736667736449803047",
                "281273785140791980760184211218464043170",
                "283000535540755875362593892136039214784",
                "287120744096144782988258825500493331264",
                "132982886547607415664031746757009000071",
                "2758637514961962406085012468584235557",
                "152758392317831351048863300526404630672",
                "314513563486126960336966723518555357676",
                "272323779584080885292014316920339750603",
                "86689317330954179536831409118549282118",
                "237316092413487356130635471001577898275",
                "35367992767969393280916944772346877130",
                "261025843710070371446474250294456850069",
                "71721796857497754445256665332282380672",
                "286667526346969651887682998692982505825",
                "187122757239833151993859031047168503276",
                "335925739603700032720923680923624276049",
                "276776448919663304424776280339351690446",
                "272836021686367343043511604664838705455",
                "183312844080836014429751110576781682598",
                "90591589124877747331220339743711451216",
                "173980011082615912584777080446960979887",
                "168509228645329116462330182237836022750",
                "199141326566618399048424077297400517248",
                "28041440358796512753023819614042122011",
                "117646681166794361959263576439648258780",
                "222771726914462322384250149196038359706",
                "275630980445844265044366131158751399306",
                "113080079958106191238027188736018429418",
                "321425755212040898313219789062849067058",
                "329192643492593289759853071032460192146",
                "294081646629950760763661101416861764362",
                "225111647429962243330190019679281765598",
                "65704654607697132482668642280592495118",
                "164348164536533168448842506770890551868",
                "125145833036656025010486924893772011856",
                "297147915661249509569754331451817032730",
                "71889832140372616566611166550197011923",
                "13274482228714284860862810778019744877",
                "7697175257265609740280209706014943096",
                "196607033593289236220270826440289964320",
                "35635382714660673160791692283607251627",
                "94508767757260250628785255056686268887",
                "114167845882174937036610208141415089021",
                "103621524489928811824825129941022815955",
                "245520767591220209786615628876118322981",
                "314102366528476583530425489149939874596",
                "14481888475049404648238271297225369090",
                "127825480992696190148151001956198350377",
                "261109575586595773264112043177696297042",
                "96895894176733021731876281278534881799",
                "248536662637436364275265232334661764391",
                "130651971155867230717369918448300734226",
                "73846045679867306061426822386595128364",
                "12232945227917214479204328372389284348",
                "290138628692915614733776585107849360359",
                "83033538226484607792742514577715368690",
                "281184178074788757374510674640129581554",
                "247143529689176833769004404022247580486",
                "240507757823121908779448023082540608917",
                "159925535566627053410017838262616569332",
                "310561409741061260089551442813929488130",
                "318763012733547097089892027185658992402",
                "135053842013392067881370754679507125392",
                "13700531374514065789074313056473525711",
                "67615050284852808809296132240478382566",
                "30369494540442923592910725871562558605",
                "223869563290668473839298359120931702723",
                "33167913800268334837503632665172355789",
                "87661971859335811817243375571551343355",
                "93647907688441077209993633266970196988",
                "48921829691907844029291604138059646487",
                "91041014962072131278480613349261006954",
                "22697980540783247393690787506693932612",
                "170047912806053029049877184692048361662",
                "149542391693930630348955666666821332047",
                "198080063949759368228611507816252533676",
                "44566913956771471849479633916597246258",
                "51314971249682416387082789035107769992",
                "217233185081693553360984343593894087872",
                "38910897418790210808060016225624805320",
                "199429954872553733655937191958167839802",
                "167654867955712931350813447480518526157",
                "298374152587715111534390039424284348370",
                "42097293034983835916931229932521425378",
                "143330135305553915717159230358337369331",
                "134770062885293301931819268028669797600",
                "53351388595191657130949905094712301657",
                "285121404089410435589659592100596717220",
                "231678653354874821453430807282202580990",
                "36064509014972792487867747901031174189",
                "94965001642851689667334737559685263245",
                "5949650392045561367173304727806041716",
                "107534662052664224687366825752821291794",
                "206898096126069672557067636763905566460",
                "188439057034835140778723965717577415011",
                "85769535662501900716967484648070012199",
                "184951953152521230242095560148081376731",
                "303609077772910447627993783288482061513",
                "281693533575197368564449455881744148250",
                "113637569638500760331206466622736418204",
                "187617624722418325859850448761177396934",
                "291854938659371090634573294307120306331",
                "304677537976428683425868789479298405504",
                "15751740516694898258701380692965079451",
                "176293541097362484623805473736027516685",
                "286101440328889686095221527457705748589",
                "127941309281704671638888351766113745855",
                "76065006363717598228326797658808713298",
                "226538739854005816788540533700546924232",
                "160973995928068042032013694114374305539",
                "30806053526177436135190619709189932512",
                "146717146710816148195700252092904653135",
                "246383229765275016266669547134479089203",
                "230631383439374884944468934296031938836",
                "191018267932280611921747570443605504491",
                "114720674615608679754735593810164284830",
                "178515075081646530760387248838263082992",
                "148624808459023455559602250763061146767",
                "228054399503504870035824076060509844534",
                "125805011935357360678934965638239838164",
                "253542471510334103752721769571315616234",
                "323486853891601154808541058784644060039",
                "285396842303706422074622618971197716458",
                "166498524925298650473535290617423643817",
                "162820669847776313800683276743264131689",
                "83280449530101066313601404177728200373",
                "244277158065110958981163921396549531327",
                "320758487099284490802232018288989131227",
                "166420573685465584356918012692994682266",
                "319653927117867417290594595873639880999",
                "171394267405973965981587819002525096502",
                "17623071582953035978461070917817425838",
                "54552346778774073978874409391525262633",
                "128037625095935765495022937989005101721",
                "303901690907229116412577438603412269008",
                "279072893156387745750826841394658971229",
                "71815913941296741332354172115536852209",
                "177001299322590480972102065566039744859",
                "332165518198012844860338070472389313525",
                "225418529490689007793609649732147962394",
                "235102624138326634175217909748049246362",
                "179639840102124684248897917419761456449",
                "177446615062131713322671391065179826158",
                "60049369995440984030255755353410968523",
                "87563003612248846630255930749985159419",
                "138940490666381726334467700408029582840",
                "81553850391428433056762343698813852170",
                "161737238466353064067194017810271488516",
                "327591022773043013727505086233488980484",
                "104483954929845361518236430145001190682",
                "49324271578616437898171020443161796562",
                "280489927242656707513690011443741882182",
                "212539377318479340437763860841977248215",
                "84438481662822028371113895385536556779",
                "299283774955353752703158826974969461657",
                "52780398277224517633978974063464768087",
                "277209894681535978587181390928219678196",
                "247862476031298654677106728292015683820",
                "280802587653406757188209400964409218387",
                "140086355176834419781917306061716976312",
                "310173147961719276101814129468338457520",
                "139331309329983425920330769627712671035",
                "285210697093508591966531351849055727209",
                "113297823597553152535112288292057408929",
                "217270823234513797513747825855144054907",
                "29762899234064378396758928005966504859",
                "8093795141787038139347316549842713924",
                "339259160725402515357497838932102737680",
                "100600707650946792032290819403861728853",
                "311313263188881121984357927542507798619",
                "279387917577168493097875937137337069504",
                "124838736991803182355727048971660809380",
                "74359520861786915391707306677687970983",
                "155130805721911102455378317952246377316",
                "332197898026997861730956521868955742328",
                "291418246663223587861457106147730415913",
                "80416501288550841035972822552700643680",
                "120492718315292385654384233910984506913",
                "194432116820399802205920389256106694171",
                "194806222657503205030457696866628275219",
                "120382216020207589246616476894082046067",
                "236800857064918799598732060953370620457",
                "142161026823663858620097831361511749824",
                "227984154644427670310896715746069236090",
                "282721155315387229634098791407289356970",
                "50537824954344161204651519346842551748",
                "141823519850459370518597054975416505512",
                "180157987736482034953501433886032665462",
                "242809239981651486008193552544063874629",
                "97916787939268835503547204007506453901",
                "67167520191589405992094637905853381470",
                "76894509369773824187220683562478768587",
                "197887143270722517881098454670698474838",
                "138079569447839641991598811993040178976",
                "219353380874523809530440043276104467580",
                "100697707114063762913648903245638130211",
                "248973319452151086167569509680125474783",
                "178553662611806007784767837199587386036",
                "326945648936293951297032594992125075700",
                "334817542354629156019987014210317262698",
                "208286581507511798109146154371179018715",
                "338539673224612420933734645019414387630",
                "96538702701255966313008905888454205984",
                "245363881991272306998050096433043374185",
                "291532669236574825298355693778658882378",
                "280491530278280517119221050242273990656",
                "48451747459932964492439227187883961663",
                "318084640202181097770226670792417799380",
                "241044852916444909150044784750917560523",
                "148069673094215709384944219932738262914",
                "40367922612570463589973289582186289102",
                "287396121915685506867849463397047690809",
                "217689311804377579366154451704111912409",
                "39736618728335795775646803299040393480",
                "142693852371374620575899958659887635159",
                "45654779930648316938961130261485507818",
                "136269385379549432838398727883648880373",
                "63528170675939198426202869107375959227",
                "186948074698412207297839208641948222484",
                "157944677191557943818014061577051099065",
                "267904977379409685247597637043365749066",
                "29693021219594642789324650214515317609",
                "304952951387491718395383638061612714983",
                "149551107789781285083012121394482774200",
                "171616636776272061038609624564590120913",
                "190229979180563262302870744019744609557",
                "153394433158081806565553322759098769097",
                "240892324477222532091467952000788941369",
                "121353769783019595606058292138444020872",
                "333941467016021997201566792021503586548",
                "214104350263346915595473807976918525314",
                "251828617048337320325782488497070059265",
                "338089294182139763078032098807303154758",
                "283599033854649215379899549074097625115",
                "307740367310039045486883212276168847973",
                "14149471275735097693820169559380668792",
                "132720473737437543266587146880769593111",
                "5307776724063269881039733066138788809",
                "105868718884109876846242845224489247288",
                "233681922772482763417935895622939157920",
                "226438292729778257180314440275877850960",
                "105790052521742601665316966741158799209",
                "183579974591429131771199981333345079522",
                "267114030826812222510807032321853813398",
                "122722529660648812345110546702291467345",
                "322690246599729437154061285198256285404",
                "190657891357485377430060022689476819107",
                "54203247402542023166245184137981071865",
                "123909916330038529920656337020060467902",
                "306554226612973878263024566659226739950",
                "257944672906165652605117072281110274565",
                "209612452666097413871484516234516152517",
                "59403562894528034200966440060483547486",
                "321994416234152976756807997887610135001",
                "180606739619973745371578121508986867586",
                "324023683564278605908640194831479624960",
                "122598957930450105479476935897812050076",
                "126322789023078788416579701318514657702",
                "5122897402659881870765288231677798517",
                "163471214158586107733337737995344519318",
                "111529801197703413279375301919926161442",
                "273986944416297944159170514840864288645",
                "152213637049134964320999217057408063271",
                "310810639845225243900489587368026774658",
                "295105287573377779420628089651370878211",
                "291987983291255810573241099178321378833",
                "71881032968034299614650424798991610258",
                "189920906483757266688566985393502014234",
                "90555130126031706762143799259127217077",
                "227600950333395558634308307170839425837",
                "300394310651161646368775145671909790817",
                "6164462500129964345551889056147242397",
                "118095491834622632234255024721785960949",
                "164927185299022021645218869883830640535",
                "8419748091705981739724918335417805807",
                "102351577755192117853972852050103431513",
                "149873568395089699645294420776064977902",
                "173254125990419899998143981320426163506",
                "208590448549832874150963567188449389127",
                "5404157983918440271540575297562081478",
                "314327753276722081120853432845227092587",
                "76077025489046612582250177924879787831",
                "95138852661249638897019827985529690466",
                "223964378402615849899477469034816494333",
                "302694663527603902452986920374017473549",
                "130535866995484253519583999470621497136",
                "81579142755086323614123215774324851813",
                "206227253117621104194288161232476118855",
                "334270556269960142307357735731887663455",
                "223206900124415876253254481511768796752",
                "225390947124782113094658034220139210580",
                "217017574580669930650163988197395679440",
                "88331247723244456296839750564901622472",
                "283688043922055831961856704811283168766",
                "249785001054404429087247904649299286764",
                "195650477477579056191931939944378402970",
                "340068808419818461456987253919860514022",
                "324995508130976821595030020112822475129",
                "83268704282181485763975649779142331402",
                "161988896213937853188383018494838759294",
                "318362432633422321572780009236322622581",
                "148687149432330274687032481131967061953",
                "73966111947391161267527625465530657518",
                "324758519195599684675913674301498772689",
                "276180622224402930682777716285370549024",
                "24622583008765409748515926126422561983",
                "153792253082969584818733415421139566150",
                "303493984728390886099476821006372579654",
                "157950752635683312981064820845744230847",
                "260968646328102548014775299049530059046",
                "165777100008096399253389254558677881618",
                "12261745924837800289890051048468645050",
                "48803972561490667946999465544301489239",
                "48518484282020653284751705732855806299",
                "23889131988508023303356396658526443502",
                "218656343024056795049117668650716728763",
                "9369701033930388665681556334176120007",
                "198238775068532479193242192250170234610",
                "60152808961164493227952397904752346901",
                "229757348451886460211699120576353348339",
                "70436102092149720053432845890469045342",
                "113139508643233205830178880663243381287",
                "295499658254184913153128960341193225089",
                "101971256033528672648833660590724169334",
                "239154068288756753635959060482686470973",
                "308655139091797606904233108553536050145",
                "319927445809713128477408277003029733654",
                "124265080117652668485042113715560351826",
                "121835258994603490953777589069355867896",
                "163812787566030380630619904192243255515",
                "86837435102607034892766914499969102924",
                "297530316736607816507507446928194010234",
                "296474914469848428001797227633903533883",
                "211300231602352035749803009758609300618",
                "11996073705449062834993729944056687736",
                "115881381722915308646373909598064079328",
                "141657032800761749024379592170565694819",
                "108774071865239345583391830518094388575",
                "217662505793891700691976550964961869917",
                "20533076689802245203388855008920238018",
                "88842753185576461782253899924131216190",
                "275128241247028130432996274764659914192",
                "24311785133600209203451349764830736860",
                "68363851430460227435859890929929608555",
                "62187706062241077067596563839842405475",
                "204730755249706876225884765192645334534",
                "114535385874140964029589531216745339969",
                "319038863061005368313826574166964625204",
                "207619032338783787472451555201461112405",
                "289445500376338933221484976169602277425",
                "135153042775324026986587477233870556503",
                "315777944430209842532998512870956081242",
                "212281154574925052287589464134674492703",
                "219766197874338802681399243822141289397",
                "104776650869172675857435356569306088087",
                "221212822706396226196068224576593461957",
                "312640755176867850737795083819098751705",
                "243327675849319052483572373638138613843",
                "299147775960965698711851048336077380029",
                "72805021650198169965357350716630678780",
                "293855842269867015049220774214642201760",
                "65371218836852645084448335791730626971",
                "103391300389486075204201047801760026398",
                "121670061572387414194177717635929543362",
                "128133154921664802993509233570746082023",
                "119061071549046612915429370416685534290",
                "117370610489339575971941951145391224008",
                "339183186634998345136238555061293800177",
                "242627120092597672530307349882293921902",
                "31279173422833637006953092338531553350",
                "140847422310278124363316072162853581063",
                "237114172447193947303383489328020715557",
                "58079537786954374684798444785697579831",
                "133096080867311823163544708226203670195",
                "308835916307897865583080928997725442680",
                "169922734758671159898848550981085141343",
                "196545167524226972700038117625887877709",
                "89297416144776634774100171816177415212",
                "254316343063112010070743593027783303194",
                "87051957613509122984534659106923172138",
                "134452398939144731072471886527276063295",
                "314537020643926173286993220749797878239",
                "186605428249018457416698798376564454982",
                "293863175388804470596363261860941215440",
                "39010933707188624347782585453457857990",
                "315232050719842863602860892666151923321",
                "180929870445291632038326940529237551298",
                "273430291198527772523785809382463825747",
                "219215527600354847447881965718965451963",
                "175829722424152858430041165878077277962",
                "290339762646758569390656818632696947639",
                "331563880271737205580179338778386955022",
                "249544755266866506142864026150636777843",
                "225879105741983910970473825488963852654",
                "137351214006360893362916074420469084053",
                "95103718722862832987943372901002273695",
                "269802402140614126956212350100560364495",
                "280946601331093876959222607316961355024",
                "115860467812868709398450795211475355255",
                "81899146907297103537375214397051262586",
                "168152620311800310309751720169563582884",
                "333681998901766621951019006013247293342",
                "45203899542964945731744931462279368739",
                "85880990037407725129492201220945019242",
                "52216639131496074167997290928168722224",
                "149518168310289174099482514536955704907",
                "188530206453620477296067176401547930185",
                "223724300162943816390299794199974393564",
                "98233123188449524143345420060510895198",
                "246242885071652706755699301594487709258",
                "186267479246723905583106687487564189143",
                "315958805559716372601815042392355584981",
                "77951395046066904854063616288968974255",
                "271576543440439028753546857162318229523",
                "292682434786144667831847142963217861292",
                "87951365937788753526664262067223080665",
                "294857375283587529577314840276937937180",
                "31009659740936950950086687143209499704",
                "125543149923349745128642712989628933602",
                "331399577693831123624525747752430470358",
                "268872485686868494929377702483577995990",
                "142190355490758343487764690917480270766",
                "321655927896808774434556587004085232324",
                "309380724494062660539673205036930270970",
                "122638806418524361297837925632033275946",
                "199209883584412874093222617217073783460",
                "228274815904582744332799589453479598385",
                "56202960302106604136806254303444619909",
                "230012992259758798487693360002217339124",
                "248872016422494232651314171284538528585",
                "252922711209578417299478582506456429267",
                "186289927770955582633509397993620410970",
                "30350100047402594651811624173462451227",
                "310594303691150364817165069036223233728",
                "5543873391982048975476061670629583457",
                "147304616130177755287728085606611927768",
                "191052062865998467231650111474313770796",
                "141954104277120928534668221998026167117",
                "188709714320166529999604988665013260522",
                "140453585662309686194017525999095776862",
                "107891591270337941027777795478925977147",
                "87494153496345504845021502369271780291",
                "84008165897383304221034444343379602365",
                "43967217358967364137214152262236255395",
                "264702100936830778454662360492521380300",
                "105141193356293564801141450497637069508",
                "39743221212317183554583629286337986258",
                "3227418243189984644215264807329511368",
                "93458609166574122944231280552565202486",
                "232952029922270442011456575311811900858",
                "228713111733806516986907439662310231273",
                "150225433272039882901708075493821857788",
                "157760837969842059362016328698381886258",
                "110398416951118504564161634784348980085",
                "203050058559294410085359127147087316628",
                "304206127861594090961244478735427316778",
                "81604275053382822511528106305734609295",
                "253757601551735235835436774671935408607",
                "233337948489535710322970280672379146824",
                "274699534994715980861787860644472423777",
                "319227969269612749613761373930555901326",
                "243678039558226786062610929176737533836",
                "132051477985800191760615603464580347546",
                "116078571927945398372560294731955854748",
                "93445982016757435437906020718967185224",
                "174296415342332406472851544527194560910",
                "241759224222221872379230542222005764464",
                "300559380804102636691394332541252734737",
                "54253460879435982748684004326267755241",
                "147706685919284206413392844111743584368",
                "163531471481597405344667365459426672924",
                "327306454810340288798889787026160422379",
                "307446881925448279671851257735976629237",
                "239313218928310160397445949972206529465",
                "248518234422799121957749010284338801846",
                "147482237807495907124263611841152065226",
                "239152862757707188522248077356712401635",
                "16898911877831501897545859749029377422",
                "337395437423088844132422120361338053913",
                "131351989766434049689391058052096952189",
                "139319834451123431736801445333320879061",
                "137426638047562456557037054911041140682",
                "118318897537740023701191364333437054052",
                "282363871658138891384540475613181916006",
                "99896470880306313419991575092059367711",
                "2506738512322582944859494539706661537",
                "162146148063043043677025553925655198576",
                "156922896641355358697484607281848608164",
                "219367815255217208859216670708051706632",
                "294081886602504799714098593093405013929",
                "35832795909842898563956653126244358964",
                "222182426941409625481387305792396124894",
                "52101240233172459635562073981009523074",
                "47274485181354465746392115909863920447",
                "113019290427695281402641499563378297822",
                "230459149690550849353523432469691964631",
                "330269091769878094511003596026197056501",
                "289532873917942517865637948764175348399",
                "107990965960306288717990268316731624889",
                "284648172978138269754874844607496530956",
                "301121060937044419635360880655869943759",
                "235389844346622073137114538479803473606",
                "338221758484459854407256928503667666022",
                "197814604207344245729559863884175089841",
                "59538198312247515610917658778263111325",
                "85929646411797721305058266408788045191",
                "222401681797344977665691832220609535438",
                "82317701732717796200629469089143705333",
                "20788830461914774142497077965415301638",
                "256769163273632928883069706901449231978",
                "83288515355696668709064402380525054514",
                "170674601177375994674508932266640004121",
                "41321386557909642683015420724185775788",
                "238298112172147728463157062062166340580",
                "287175698160107033748216105719491319209",
                "265471815411702523186548859942095217903",
                "180317535574497873418626630863864955136",
                "224070000625285371394762793754616785441",
                "305801136861082875429434685870791564402",
                "241399515282002741783032796028445187052",
                "223143493404287555206172235828089464203",
                "193629103437531990617759607331799087341",
                "260025096443618224694503763568817402934",
                "178303013768845760929931395421094323714",
                "230635964919551088298593367804359068485",
                "295027474618587387726273204603517463196",
                "169892653286830417583041804642513750819",
                "107119028208556191209392099142760792997",
                "337716377214344704395821879947214422309",
                "194573657379088747290494926340778939525",
                "155587588725710730313316811518401441378",
                "172695638720794786215985633546780093692",
                "38602499017568862834887245985704960915",
                "309450577792485419226065651327390537931",
                "174023147335422878062148647526982320195",
                "64965798819153445179063448308577875718",
                "179304071955493334084224957145733453912",
                "236540544004455224118454414203637232476",
                "203953895309130762324670370608579154825",
                "277534919051040980624444246921289645832",
                "279372056484767243959940475783843903038",
                "115041838236352741065886963242480936689",
                "301862331255478033715424506918073087976",
                "218302385957501838626447420571012721683",
                "73217670702875589228116857332816601609",
                "43989654407295535539295630195879221396",
                "142778639418151129118510115287432323748",
                "56148263814345936352907447545677464268",
                "260810975723225170527674649300482821828",
                "252811932924236229987914684809312950464",
                "166851783744650971612317770013461911834",
                "121355426349367991046733660511605903419",
                "197452839054974843592978584162351378089",
                "43094694976858963833603031460177589648",
                "284543800017509964515428192381993974468",
                "250733840711860040970663515125662478996",
                "287182749469950766610125233321576678385",
                "319732428209042128065290878691954038339",
                "105334542589673504915627158761924183303",
                "110468331954918487899355483750778043685",
                "329165761952821012513297779207089681485",
                "224574826507288949231135289914196630715",
                "66141136139142818992688029742792008469",
                "72619546135684860071353932718135945431",
                "262992618445772382056329260117609848175",
                "200807573935319010161510031674426133293",
                "268457330037990432802402067681731266138",
                "294074827237323050194435802975300508550",
                "60986710016228777889495357800549453428",
                "210223969011285003403715570050726115462",
                "331625357487222493153711444389790776053",
                "189476370987924751908285139000795850614",
                "199918257773045645339402556955975248539",
                "119258545386045653061326439150714075101",
                "184614009673227683165344826238162143542",
                "138902473357927075242266268946448241946",
                "64311106975735226475246715011473254943",
                "183763740353612230006362855764154479465",
                "174909816069974017751347947645773642103",
                "148571893281412884378793740219312223071",
                "226485526898368075072685879178867859548",
                "136434621262745863569821965390140580844",
                "189129251737255116319668819067409878234",
                "252153481655086268598488423432508188883",
                "17045156712192049667896389307609813347",
                "236966409159698585092106182275636405712",
                "40760633892801908918476913645604825410",
                "320592608107203470013320739665429647290",
                "24523223489290668764027875944282692251",
                "22225360060170106137217648347720536729",
                "336582799635197372049409200101386141455",
                "322264811915189694117642431038838497318",
                "101656637660841893441296565350264909859",
                "8732494946019539344791055804296091730",
                "78864312295719980566855162549827263375",
                "206511481514697524411938852523677663993",
                "313325624573040950573975303762626188937",
                "311778877883153880702521337962980599785",
                "211030702086766062409888403797245093050",
                "226167126639218518487134460353847540186",
                "229672054074908453189405718990956338176",
                "86259234564513714401962167534248824050",
                "266554205315698741259245479679886143996",
                "173419068634083072517678234122516131292",
                "170836579524247483404678517665909687888",
                "12811051736223841144330731783510650325",
                "314234091249729134198583749511821131021",
                "62445975732929803183790165784259519064",
                "117714278941491605690032501573747875773",
                "255002392522732006316339259831522664847",
                "76006324158014565324179127743478842311",
                "140336761990476787892203397395748930833",
                "292359823665327355534787645004763314030",
                "73760312865159750660096199482940034165",
                "171703990023147466812617104020294565185",
                "12103943970360468222931289816300683918",
                "292935895868032855655698227802642173337",
                "3039746235921783663587991443727155098",
                "138751646064516223463211599560393017446",
                "38695033007625802285119109509886980584",
                "205844191066767324331814872086498818084",
                "33745933283010590188527034813534277343",
                "86946603275234196187482465790055509703",
                "266329600589631770778970506201807640366",
                "41524666660940876884018796796993907840",
                "11368011489220770430017761117415794213",
                "303821544356068992860056996808653144337",
                "303988023882293396013624658567392859936",
                "326532891707708243333780829190087391005",
                "25358661999189695087370996450176734280",
                "262073333624426556024538157740721475111",
                "159624800699542397717544127340266500564",
                "305439671604647834666109410052320863991",
                "251120580382338404227561152737085930467",
                "156517869694129360758866877465786637572",
                "325845273728633045594488056599375624076",
                "117059596140331427897671890164221133441",
                "241700893189348387562955489369489855898",
                "206757781162973993274161310664298799976",
                "205105951173616633699237925280817881958",
                "265506502518353124690621138468995003086",
                "146770828566535321832142126058105410039",
                "7413576901791298589407808100704765312",
                "313903746402944940291825064836069836122",
                "137767770078488862860299795286167343401",
                "63340326150656548704161172003806398057",
                "147397164734322818608118847576724694528",
                "80080741234960071368100684100640714094",
                "320818997150143331335417983150489862641",
                "150840284034458142720802071623891898499",
                "28333968861356748590247797072833341658",
                "34113043455751941830628456649151994582",
                "120733515233638934211679948354207001064",
                "281437133382654156610351549733411840576",
                "158343569336304726546568772487617886314",
                "37045111224029841594069762093472481579",
                "63031814717551042874682745745638645719",
                "213132039804839407144791621268272429973",
                "241245262764653328124909453329699959510",
                "176584763172781150714048040703719874784",
                "226708767442183869405624751188176370223",
                "302088026243670509594936393624468692278",
                "239701498896326576753330029385859860701",
                "247851425173118324136581783169114849413",
                "306743001787753969308659980999305063023",
                "177688395426121080658965085590145822536",
                "165301172786275235403987332167965128481",
                "50885375667148599248417924076355413291",
                "69009496149374395826036935001715412166",
                "145355664835591204776195128749494738675",
                "337328184662347005392976321351693103149",
                "3253230876713958396091070075522423445",
                "65587978774764234896079579495349705352",
                "259714384556886679808364314370089838154",
                "207007943407010906029211311570633176067",
                "308211653627759600072435489259588991588",
                "316620914553410501122023961904756567819",
                "227005471581864232013017597165936799834",
                "303232043998200556315160836948624460614",
                "211664728947073204137076058441951753304",
                "263661050061730750400735733028764484484",
                "212557568102975588125069619170486241605",
                "123892618515264773051922327924209139690",
                "130740251880824804952454912670660672932",
                "7288939599352080584445047915293933805",
                "320818662537636700884144773677075649425",
                "28412972427375081469166281517805023740",
                "286560538574737909032194800051109961305",
                "72248492503493273797324654132414670388",
                "222201835253205392736202062868087152478",
                "118834363489741122170583142058253142375",
                "123776586232460792865732909892017373475",
                "141094014512494812485342089631128405977",
                "62810801575433566996166867348235166153",
                "68826014638553559892839259919178254692",
                "160337829882580224412366262202361641831",
                "250936639942694455464817121906750308576",
                "49079360120363158761852738635431315096",
                "282770914562728555663284353268280083704",
                "188795759318199871606445164232543796031",
                "99764524648470656196618886463404514382",
                "88365763733524712242279691231358607123",
                "239229008317713909913281500680880724579",
                "124992375256304951910042544446281716933",
                "309204425977203169961463953159465399723",
                "57950011501250321185165021213637366428",
                "235203254789765346364113003038783687945",
                "329167187445018258567325818576982956070",
                "23992842627852474441928781488713291593",
                "332985704315296511343037127876159292946",
                "278680339494692073059331355585396511034",
                "69184068835559644286672552927308910385",
                "185017964171192320333863572314422038983",
                "23387928425233506928715620424174660355",
                "219802946320557941824508261488483831542",
                "63545759915499225448302733621723322865",
                "137300703294353297135807477581120912686",
                "12847503994925366840635385158479799416",
                "6528597897543918684008364372025339166",
                "305705168310188360950032731613814640562",
                "229268018127317169734290628472697331913",
                "154730673648770960863230468112276017204",
                "313849959477093738530977291294767851094",
                "38738729753679826602172415142009409141",
                "22414631130814274192679062320375851953",
                "3026269893343366416441761318606169557",
                "57418940476087285710126011516523450663",
                "84926652857262084393449717332843103010",
                "146731404277798807734872009855707379849",
                "250654480900017239058673196356576837367",
                "19759607330765101901304241773720824199",
                "141488769573229146570888980044427862752",
                "336596881069825792011884041932073182364",
                "135861145115242838919571754831731507895",
                "324170551840174458985695041343711097424",
                "100954128448544409593876867144373228611",
                "57184955235027949772076890485629457785",
                "330839581512857941866226503226458903201",
                "23857178114908528585610309589920825887",
                "142524392293666021798723791287400139762",
                "95686940892848472593156273011753941905",
                "82510761175294920057890919519299142327",
                "318094181041613740214130662011897677624",
                "103807817266593669379566107704566078936",
                "8141781011140138295722435797573386251",
                "323136160727509769932221089665707427226",
                "214188089919057622856383275631706230543",
                "174444081601562454146959078331756921259",
                "83656198036175009367989659567546996746",
                "145248741218035990434118320470664707047",
                "63148948381622900549797937265076228767",
                "203869170493186814271055828911320609884",
                "228832873707986942819305718699254172183",
                "286113056064053226892314895799992640310",
                "90137480194427234697915652967869175885",
                "289973012968590675424522757981189509277",
                "328360179105175613054696233784793124646",
                "270472046230581420416508483086150804645",
                "121377204376328577326585903285294501899",
                "187112603164641359528503155157388405215",
                "307552087749247580610940748365490489980",
                "77362762294317945280585768830621334880",
                "206378204797550316098702883915832669486",
                "70616519228742982733863791044678970034",
                "84853282508477416105597435492312069850",
                "173403642777204846939693364650792881345",
                "275038656107550177770668125827647629191",
                "291210553949341788265686245041922924650",
                "191799508943284574137597479928815251441",
                "272289562654984918662460544918237093700",
                "124836815491336267647164298846110384212",
                "107172584788340152791548756851446318445",
                "239868077073439082962678663984235567773",
                "287277509395587527944262504907418931923",
                "71382999929853047325707846833197784345",
                "88063328493832274486739290625580800756",
                "324945751254599913596668598321458348976",
                "164499118789385692889263264223358784344",
                "67293418492421339553212509894768735855",
                "154954671603997584399333832959298671684",
                "28304224040340146476882015715550229895",
                "43704073945962039195070273937579415826",
                "150345644845576556895398619311333949128",
                "143780908760137050865033663380166017104",
                "5938070868936900550037560616026850604",
                "333772367935695309897196750224184926485",
                "13799348141470048634561180443128833930",
                "230530570021089273550131755173664143429",
                "251058305603141066834106487059169376783",
                "140181593058522535775591541866732900270",
                "38341866189106059721801072191496292775",
                "117169178912513669273013804718579201196",
                "331912244456305530573981518653120664277",
                "19050617098821555015369319878604576781",
                "56521271280162392437566175908764820680",
                "306555272139647805985623057572363479578",
                "166707760746658297154834237461238269837",
                "302482711049916869502207694216475691973",
                "99866507251940550066314312186041172188",
                "292486905578571225091516205104930261450",
                "21737259607933534904666630177042206308",
                "25528191423681099541080122118777603105",
                "135724021522249513147087853652566893976",
                "281177257247739373389872655665650338931",
                "120391963027030472350536432179984278112",
                "281234160327618583826576624905639730098",
                "14596239847090001032835887767803572420",
                "161909942890294629603987887215512006123",
                "31228634820519304321697503871652624265",
                "7629703878147923348215905417257536794",
                "290786122194042496531185660509499173789",
                "257111270247800919479752402300525164439",
                "257257497651484913983710634357240177192",
                "45614548354653162569127226696113095803",
                "84678598346015873339752781619106515147",
                "326046630308960302266280197615691433597",
                "228090058017602279056134404043601146892",
                "286251537386008923588687466763396713558",
                "243758692258331710644301451923031869601",
                "252350100006561358427806751266865541544",
                "84163458680181730202565560152123716513",
                "90674703078999111345400232689850111050",
                "226658445325835297044704458706848433087",
                "148383448958721925245426852432848076774",
                "145698582036338877756999180116974220863",
                "131646863417717051731103965089716515709",
                "234261622470308430975592598944722602580",
                "283184808519745498020163822882359003601",
                "297326214408546842318344074908309810861",
                "284853355430631461346230186265408970577",
                "113010490158082017301281505675873478108",
                "219162478462769937586578694733206259409",
                "324288330602834494043170908435092783544",
                "170200958651714208381768081880454687564",
                "317847803720835622452123943260507898920",
                "44877775887985642413296371788488029926",
                "192454648733340286541377013362447459922",
                "43854974746788028401774175075706614346",
                "224637373149383224001616011281277128457",
                "30039719155691639040791099138310158119",
                "225851373810404922782760460179152785461",
                "216774792059229205527073155336393898823",
                "89678595771764003790945467825332992016",
                "304753226120239649278430546143764308071",
                "291109682698480612608027074197544488857",
                "32867034120644607690077945211210645862",
                "260320882219881121725790783902263740083",
                "150753380374235098983203947685424689676",
                "30412145779805613662458838625445443200",
                "152567932575453973068365150754978147887",
                "114176847187628676905295640019953313501",
                "60826062168297952331501614588772464717",
                "270164222950998562728790299010184367929",
                "225031245802289173968398920043172086377",
                "276748374940763511777602675376201043926",
                "154589663411264450198920867989409701186",
                "148637716452663773681158283397106926258",
                "52305544374216949431158356781511376960",
                "62385825799290464853725346907507891678",
                "233022273851754786791252828787694907121",
                "244565414062842850578243098814147216310",
                "316675232695613329574180375138471893636",
                "190473967320368552958392577774341964784",
                "87073876503373420640255680304920718597",
                "255916426307590703284097155011866211142",
                "10662318206123419464424261359607688235",
                "306009483447272065869305514179308792560",
                "260837772704796273583715871666933862423",
                "86947456659294712035557873795230050688",
                "259530914969650450898057864510440860708",
                "50111114114642965678189501178546536988",
                "204852446386818534758197483650134437066",
                "79393554628123384386877983504355702239",
                "60689086416404475431546566445998893117",
                "291574334025674730371891618682045401370",
                "32226337357418753630975112448591808039",
                "123874556281363024668000422771608665858",
                "115884592826027572449205250180749898992",
                "285389110895873698420557166668342997848",
                "275319527962059022035820158364631547403",
                "284292842792916059931205474937527526620",
                "242368979996388275856556008451494806414",
                "141871510573136108501957535857789100134",
                "72349774815930772718011686838032025645",
                "94660653933682981639375052544806686082",
                "103147570519801506338973846813170268165",
                "27411075981590117164757102343141885921",
                "214836323815838824251894519411927745158",
                "91130143433809026968191963819597853765",
                "24814239359744879926618917241219934429",
                "174425264146870542522136208860774561102",
                "212857726284479118320237961925597081334",
                "156963971145563640733468852486213999232",
                "55725384353323393949157482275459038828",
                "209571159669945274314009703053253867901",
                "255790722395365822868911959505490882296",
                "292862255184521879005467687193287061205",
                "304562973470313008119673232083653968491",
                "51768778070131618856073930749579481197",
                "139541937962040284212885148123940881295",
                "311457148224520633619745657549941424626",
                "245701206812258432471882369953105410261",
                "24701081029998777234799784699736787272",
                "26634312661719189069802408313925555280",
                "255378645972829011302454515268422416534",
                "183957224187977873102621585419545992698",
                "241572959260918556814229006474468708781",
                "20148877360694941896696330606166730705",
                "209744319258539723827845344702004844302",
                "24252080054154062306205562323711249549",
                "129851943557091971889609830144698784645",
                "238708834530139204279576517595633022780",
                "303452579628081937726919952979012270235",
                "208358165940887524163884937262524762614",
                "143759985241629419963895771016820841597",
                "166145096680875893096655808122718145173",
                "25161254752952102300502393729982507627",
                "213386193286485868112024055221905195233",
                "20150644519566667899175597218665328442",
                "307904166625152582923075828481412481515",
                "321884715702095699183935697824853099538",
                "107934606637133322090279691550182950985",
                "166647757251367734942111825496156924637",
                "90374555920276558014744410587490843535",
                "17132290338999140240317220176843499286",
                "38410013633283656962504138859052315798",
                "176084230473552782009902815669219102773",
                "261410052727547729154238903358960073764",
                "73799807615122214187130402563286499593",
                "295008872366390840461420298700058879112",
                "231370963724704962157615237882814260933",
                "215409527016597973147766777239665036412",
                "171379441433384361569481902854816327566",
                "133781690049058779612598733029034055627",
                "138373445502133379771261579939628387446",
                "232466999877269736131687527031387937499",
                "178483132017391419969476590952370115450",
                "229345058624712775364823573647814247852",
                "293920244344285881662294208401288363627",
                "267898595954080683263108286467125777689",
                "35756497661734474948004737343313138785",
                "143149401110080078445837290010375254933",
                "68516852143073801729696620526215341788",
                "327075457087635691013654193588774509590",
                "142654485088530726410355234506986051774",
                "102889585995821814297214086930320072633",
                "127681821894895377842537997761405708982",
                "46760432610025117572903003181279166850",
                "59996158760323851559006919714283686631",
                "33704185412133278997310989913075619785",
                "182850874344047234834336754890504414791",
                "172255696135453342813004013770739135306",
                "167238306086669530733571824792648625584",
                "215613858299773005483746851242059980398",
                "259964375743584213739152869332035146346",
                "66771133296499449069075518173953773277",
                "207950910066567105781982977237231125921",
                "267464387406735570175788769613322735150",
                "178248871352471845501104290141457125454",
                "277854358246058370038630789776227873967",
                "156062062475546258169147196720199968309",
                "280128391629727571256267321308817650614",
                "74611808971933623125189912786760884031",
                "52913585910924489063597536819333394792",
                "244552598405487516365096246697516259186",
                "48637196244578250270549885114231534523",
                "183053557654988031609987963542387415533",
                "111262150479937090384354191797802712797",
                "260981456267453895522994320860579611944",
                "144533994874971507248348814212577373287",
                "209390182399264564400324878776302154744",
                "189946392532253537839845644202821602705",
                "331475358537818262294554115907539209534",
                "317752235301508618728031725864705385528",
                "327538878593034920028305232439070435193",
                "184368655990992312754864561132299823530",
                "332267879545702902066611806094730316734",
                "9219371927707344673612395126394769627",
                "258914191715132570753891415081020935159",
                "326957296545748418182242560618394764129",
                "270519675401177186285425267821151122598",
                "206283931747499530650581459888260720716",
                "84903218857265599295673540975720714624",
                "226889755657312554107038748311917079458",
                "296686702727250040516444878853655576586",
                "22645813524824332966989047513569002343",
                "322301329704877813027622931697916145835",
                "106071681241689790779445708132857698750",
                "263640032928331073160920668388086831317",
                "140699066550254119266804033274937708344",
                "94936264226526096982174692863899832596",
                "269368737985040590566373176939826767942",
                "148792096753391320152058801173000711829",
                "113081644791053880368832154562590463317",
                "276807195983050774427388662090657370569",
                "140963539332164011647404689860881601791",
                "241902514490516623590011469749166173877",
                "33929586426573275524376165851859307724",
                "9949342006949565071523849329616142106",
                "183346649765263928613075258929885835008",
                "288374728166645890860026989404421850157",
                "255358512880252638493455023687172483965",
                "32316619249292841671905603261258853459",
                "135273033183625895093064899044990214108",
                "241582444851498949783631123930256616037",
                "304965702741773418495713351596753385148",
                "68994951824707932369414656859725923382",
                "256180092322763207112060819444148494553",
                "115570416708100953775029134467183709404",
                "79188401119211254138128277458162737828",
                "85904319364012807088032038618322912548",
                "72882233831824397173660166523533391020",
                "7886942560150319401895503039427529899",
                "208573330421856670093513026744211124830",
                "117524873918554654263279551878308490947",
                "185783918069763806629154332802288799491",
                "265327209029808210809283853744661572682",
                "6736818163345219748088155183262347936",
                "237959258776028328847782283111728374872",
                "86353205481276431039265436698763219736",
                "55327864377773041135905731789655735391",
                "123625227428385591342808951452628971683",
                "275006298718213272186666311752475651097",
                "4968284141256831106349143245595582855",
                "230253872092019661655899269800623791658",
                "238481705661508482664933196735748672737",
                "172189173885558454281733031826513197031",
                "88466187115549809742696827515432698934",
                "51790060404004552701067435106208777520",
                "40000637468738696279303011561390993436",
                "142278241374001826079327108252505855555",
                "259825709311990342161796616837856721445",
                "32610143028529346282176581900079128623",
                "254102416824002489955883213935972975496",
                "226164276624590583600419123941241621062",
                "29909288069214830106692239153354878588",
                "187543169874102813565745968818594353731",
                "33344396081521701034929352098344363431",
                "156171808617147459084621199001103811618",
                "274947746797681042935504256698227684288",
                "148474649945005963610379363135609680723",
                "207202456243704559097699822165303000958",
                "159629289938196660366521813664252993427",
                "244511648730503351279692071070202154881",
                "88069234634459329882430016144872363315",
                "235197950614415266396805473418767123382",
                "21850899686314513224409417521023786929",
                "111360085304815619079721496106087838427",
                "87525596991597603351290846146418337679",
                "105853683751514545794400567477494626760",
                "175378823902785895215180690293439032405",
                "216835382364190021773625259186772982165",
                "44304122934741391114071762974518621554",
                "224791588794540636754797362572509943824",
                "152899598008937821386576884269208921649",
                "101770005136978201150549441990440762536",
                "299767038978199069094459949955495818657",
                "265202659638293178966861283598987792031",
                "82986220035157748632955723609610569607",
                "77747442493229253204485845076335341441",
                "210091410343716385792870600355815828657",
                "220444771016393102415937656692675814233",
                "169789962840513913408459943893174786920",
                "122392849883730883974901381500477430396",
                "226900643779082498070200433650988437867",
                "57659808184537416894369781767085082147",
                "167637175461909196131588706213764142040",
                "249956558287699285515339526590805063917",
                "251169369007746793439294394076190835354",
                "167839800151867362957049237159980010731",
                "188317286553574127094870422953695152461",
                "172754688803625505284364106521692788016",
                "196479204446111739607465335873841422376",
                "325798216199549743874499738337883104578",
                "78586084187654097658941076915099330424",
                "67644680382066223292362424728372496488",
                "340173534512573595480272662453204262463",
                "130010715225984951251893134351740018338",
                "156487865507491259075043262009527588700",
                "324146387183757342763444922796568341497",
                "219020667930601229251170904759041757498",
                "238120921801660615648518351004634822024",
                "160276052735670563960421938879189354122",
                "22105461624698281099589968041741491370",
                "149363367417318971427730404117410032841",
                "13069831468565260224208073525487499728",
                "157175872795300476455352203005451595137",
                "125560561160781630186158921385858807311",
                "264054208593291437875557802896076672969",
                "275173639913639769389480406211958370660",
                "167968461495376728885716139562189342771",
                "73981434594585995117671782687740071911",
                "217901735527067773211457435219105359180",
                "205287722796936907394620494798314055523",
                "255944722649484561706073269653483201356",
                "277053947134829264632695686646200866075",
                "177651646032216669814197493475243119549",
                "334805434122498981739780481781765686722",
                "177228048642557656742386055682349093248",
                "189456956854993720265904950146399526859",
                "243448339551547736962305185001160490268",
                "308810794257857184129566092395298682229",
                "294654459473862648340769578361869823012",
                "260386863236347077446799414633359304005",
                "13932534315453480812023537837189327732",
                "197229416392897039945102332839581625341",
                "193099570102979612236898077112669841276",
                "186643210447987190248462780600710919799",
                "135143674695518370621656210777128416053",
                "182148712691687614618764706370585250302",
                "80205184173339595685827814614869602996",
                "251907689688956975169189886777951141941",
                "333225653491769312183673998224249959632",
                "17846311579025639802768237390949225238",
                "81006925337922126134539805267317867121",
                "252724645048541179388269674856650124331",
                "275135550712334799108857368376379215687",
                "183608731788137842693806740143435711404",
                "196377540418415625632704836010100216911",
                "62373627968124812796077408342670169877",
                "100284440167194571278055111278195962606",
                "104010898712741035987538992760223532153",
                "20105742495082015589481968759243682297",
                "1480833562254258007444650085399218342",
                "278592995691626074135677193478078490169",
                "325777447278830706271786620107790214098",
                "297596795716393735841666025092267557239",
                "262237306698859950707306957964285201022",
                "63766096673371861641929774994827825477",
                "263376647927869591160069384593827940795",
                "203385960698580000077400182888118785951",
                "168402084687275331989946020268287558855",
                "263234099835548210825599467993189445598",
                "198247989500543018827595828122605568927",
                "109920218550116086046680940805878140201",
                "158323293960008965995900865111443862601",
                "185245904477017788965381923161245627020",
                "245584135413111938011179313507003925583",
                "46373487172626356928934742371680104519",
                "5741036000343003568211848407235557640",
                "31207029623354580990429774186670158949",
                "328138718740214289296969789088024967686",
                "263443689499159878306468061905278929592",
                "324286849366758355088836785279182859717",
                "109449011811373438716215086319196214133",
                "234466162692494061871310429815873861310",
                "337678144276585658406597168925781723206",
                "222051453267432316739833065608767790830",
                "267119352618681850996544203097677618587",
                "133372483815033822556290447516823737445",
                "262692573845298042712948810622917049880",
                "229624420799911702062520151284148789219",
                "307869355884539201765467445331296340205",
                "165922130198203253669137946553784299883",
                "166542266851668920326458255127802495924",
                "310492756489171631364472141789863119861",
                "201008802729974304825778780254767717095",
                "28614280443076203317507996597632026684",
                "323931194307517309021542047859951081188",
                "22156294825764574937186932179276521527",
                "165376601563064524247188590485677426805",
                "187350098257172502777673363802657163399",
                "310117443931872392380015665451201436693",
                "186519283210602771469723178023468456961",
                "150655014925352317739485596090275752524",
                "325061161768738536140852453542889955698",
                "200788716391861557796602016541625428559",
                "160979557054181489521364750980907745315",
                "157191363258663948816554942623222142198",
                "215937269540921139192858407118772684586",
                "78312997469396280738728013152426312377",
                "79779233837727644484344979283220309607",
                "176969907218780844586312001467425371069",
                "109441349098863819047071078879144696034",
                "285694168851399937134436313409924712392",
                "200097936842097695255765941229937090049",
                "207691120516450901031150987490820382725",
                "198543772152346219368755644559016520198",
                "216509515640346740671561393496022019921",
                "260738306287869086386029758518678028243",
                "312840259962267027422316181155099246771",
                "159494025732536739619497826170024521157",
                "87603212942447139294153422510908998620",
                "109566647302356657231534314062250573999",
                "256652428439044236375275686033246495885",
                "20668108827993738260100185645537473098",
                "186476854640487478085661751234549617195",
                "316990462259300328091998580359106199648",
                "142366343224968875416931746403212598469",
                "338605405811692235666058826252610415361",
                "319010487407241259097278451747026272970",
                "241774117903925081148900645733677270879",
                "27268071810910342564747367989043391156",
                "155636314160384581105947688756824707511",
                "87121299438870295500547025880918672603",
                "30514424491284060480746822300269646276",
                "122157056147186210589743558084448628663",
                "38987104093847991022361130951244707216",
                "123762324742687605790964671165261886658",
                "63552627023008798824011173108414119191",
                "135222723698757415383263664413992859345",
                "308343065043520337601307816758062030330",
                "235338892862126175218116893765595757921",
                "55113368053343440315524558480127699861",
                "98837806505053682308882177116484677673",
                "140681000440411156384798544159112123880",
                "46139935059136552637062108405866090476",
                "203217209302151586520578790559538066223",
                "262134252064530006493710162130617401495",
                "322935591814139872296375760565829522102",
                "102899124060651949596678951911483022934",
                "65533775343857218227079106748317078569",
                "318715568022605991658091614431954428876",
                "322675178193617111359270197120905216774",
                "141723149618700575155838288504458865755",
                "137898667439093294453342575925277107726",
                "200624876323109856745135432060986774277",
                "79623830486736317187510836097902251801",
                "258286511357191324741233717280749348501",
                "222366258649308712260838720544022647763",
                "292316812057449354379518788976016525750",
                "80083755808358336024338384677874623417",
                "144891439924870197014843879829172378233",
                "168134280541797069679090561333437936524",
                "75023465896713308744659928738322568893",
                "155175854965788897382587464782252505671",
                "251614364657387495900649872900331612055",
                "326188717978661556507978761373478238363",
                "220883937405846527535460148521696479858",
                "309502707269772803150051098116745333953",
                "33259019562332292643415996618842227720",
                "226085576036759911357368190056138616396",
                "108687370205693623427014718970400125070",
                "244382136029939556501870935654356920271",
                "248768152397374466215135712349480600028",
                "199507389541893292096982566655745813375",
                "337051028362666773866969878547797139223",
                "89508928442690120521317588440200795620",
                "233495884419157509368538205578326137175",
                "300206152311051432183729542669951848029",
                "298417903253431449620628651949211727080",
                "17563335624417144184272187535528325249",
                "299251021840658854753116085452812802813",
                "145003483402621688853472569615588928221",
                "194782472488192299551283636967385603131",
                "207075349271035716650673407588681858170",
                "5295010181307571782637504104123193414",
                "18914993340094651898310302005389077397",
                "249323381277347274826535831671757643906",
                "139775036356799198057834574697673044100",
                "111723442347402774448440077678514684903",
                "199791211786386660758936345780051321603",
                "186631112899088327997257537332524720255",
                "10838786284634715550390483262258348420",
                "44033995010000436770589626859490947664",
                "227646423404426220938488336629988295885",
                "66246287378455042991946495384508987940",
                "18876698164050039428741556341072047293",
                "291791341154178406352029822348632325307",
                "300677447934681604420357860838697213974",
                "82299491496157179159985652836847758846",
                "86295502189037073090286707450949259562",
                "85870898386676614762457120868194231380",
                "62054416811670725138377984377706426279",
                "100058282825490013056294524905329793160",
                "198267149737958976385763210906780767086",
                "338750341773665554900020854552927646365",
                "87245533408151965049604856800735317313",
                "153441492911060006610908631725908847663",
                "241371409748307667472172455477452632893",
                "56675374543658865450634626340967690988",
                "263542542965970314224880590815389285174",
                "278763828882772721217499994480369115929",
                "51086170800084605075835425690038752504",
                "77029286095077918704422860841770130441",
                "211050037242550291064142071047916184566",
                "136544381083033909803536197731774807611",
                "15772867807820971553328079090665459868",
                "21613951364868408933229514593855245766",
                "211616898337328912622308412895131565483",
                "44387282289169197181409883194610255092",
                "258961300795204093869799393546398669978",
                "273793497400469631476878202278193278931",
                "44653711299909479488167000887452166931",
                "160458799530347179054562692415381805556",
                "57824762440551213005035222197608096423",
                "156947474871846300414120373034567502249",
                "89533911672681151360472648137937217211",
                "1050749988891729371895149701885597535",
                "229005198619958855788576480611089942460",
                "45170975595005044377693468086700169543",
                "244873868072879289266179739072450988980",
                "237086869371855066456312935394907160564",
                "311137216949752515786360622339945713891",
                "264688729822695960110509881731002925309",
                "34809637816470614062071006049034158173",
                "58140413029640411925743698451300549941",
                "214832870968568716914694030192934280551",
                "40558483623575795720228519479401285306",
                "140789914504464010593587392814858274625",
                "12482226721552583401684749690199277154",
                "113282037199441026742480662721949835737",
                "251582292299271284844531270567854111777",
                "8825473445883736690118090881014865675",
                "277052581336760002003011128355890073948",
                "144233094692778386763603803153490971987",
                "43050169873559581611937472343894944329",
                "338188585958118602870545738811850017376",
                "293070116511577908432166121767572355135",
                "235255322743690183308215184537176059872",
                "175283286564992947463566841389257938375",
                "178025308635796171165698226154442532199",
                "273713404986659248070800004290468997069",
                "298805804345840842673871743893182678300",
                "288186845606288104647717762350456568422",
                "253926576133257673313423946440521062640",
                "135525938547911574564314792332291312985",
                "57833847015755785534646358692331670304",
                "57346270194986605283955719405304223393",
                "230069953663831144132735874866086489012",
                "99359492632752937643184675788921678620",
                "180207227424744449642253877727351101544",
                "217962029285256488661386576417681854815",
                "59423126759044967940883661327094217546",
                "292586839433984875326525367023390285936",
                "118312149854986016491268595699272962726",
                "197826646395580680848883166868574344612",
                "288482086932749999577262991578540507844",
                "331309276898340149851046369534765873169",
                "335766756626558152417143210346887206134",
                "271433030494421295963507942997321925562",
                "210434758439013852211826587678811117225",
                "330895796639407150668987141187894604765",
                "185726720139391363297127287587937695089",
                "164268335771266273783421818192683259936",
                "10676187501315365004661198876316099140",
                "182518337484029946381104536267756884852",
                "86255378343345797021266587812334038605",
                "73822482143223333131574690369008331063",
                "319379122500493616783673098989079385784",
                "120302760099858769229377709038816284869",
                "2149056082412361984137670896352641025",
                "42501437480502539295641291471081996652",
                "240476321844737389606293964338103720825",
                "326698366948164722791575944282592052891",
                "97639774530172485562725429983845835679",
                "329030502554926289784651848855724177380",
                "100885229325253418634992382042857393326",
                "28947814095134193082707500850870158904",
                "185671897107173729202872778932812307027",
                "383675900203112846817066215166911725",
                "209115397574040376905112542787445546482",
                "328436805504584789833432599303395658563",
                "62327904802959401801845279388199279095",
                "131934029898495364011876780132563262901",
                "277444681600415591614572607614188345067",
                "230449449042749173695812295576088535506",
                "77778078158611436204712495311935406147",
                "134775927280068901129072458287792276959",
                "211603639524334762662839872229579703033",
                "96430114326732788725920522361556732076",
                "308535213166774470995452032871116864014",
                "320344705548458787962974031106256305540",
                "273844598022555082719075184628373579156",
                "38329805281385709910153355220415763095",
                "198121873622198590074879047620647489562",
                "274389502952370496699260757740974937666",
                "319522547011339516446136701996423133809",
                "107272921292553368265865584318462704038",
                "144159034263504685966027265401479573922",
                "292887117596877660423163441757287831858",
                "181888720068721545428639431991144385108",
                "320394349225694542640694552024202843858",
                "26779244800835380828551384545689856230",
                "36340681923225148288549997799090913507",
                "315701222309361484146120041795317691696",
                "34088357305578318899513900130535569167",
                "223034182121272930867214432019998983872",
                "39238143130751025621243728374828362327",
                "192061018924921926651178741155121366435",
                "164787578099493449646406894571023088766",
                "29695256118618741907453876344851324294",
                "257247594800971324621616674455578521603",
                "190263802502275697833936767098742606097",
                "89324547189766321076425837840783201711",
                "268717950859477318996626790381356917413",
                "310165947860170940232381042649266393220",
                "11122100967536360588821018525480539479",
                "229981354343827835868560262164520629866",
                "88873043997004924927030122578066805529",
                "2193391971253540033981503654838239345",
                "312141815778849154491420854024786109739",
                "105471329828830136804336865715271604325",
                "321869367751359190626867609337583058041",
                "108437885591711299868667235525416213790",
                "25798579990236184648137759125461462409",
                "333589387332344868230026773883408492558",
                "109445108029254587671517966040279206753",
                "303139637772659795574095622327454052907",
                "268042601680752754989986755437217859840",
                "188437819065122497111116360625857899215",
                "246490765067158767172844235064994701674",
                "207217172978599371371545444540243339678",
                "65479454343496401625094976213526769696",
                "174831415989326257034636586719457246823",
                "124814014368458957270705296418134662036",
                "8036744479327536792250574022321525378",
                "274025748687481829999547917057741112844",
                "333570410160342155541302262363246000865",
                "120864367346048105881083898797723570194",
                "7556233288842966692550083673995099652",
                "227333584601260884280667554671461054006",
                "87348858418886002969890541660074194330",
                "20280645353148087915734672884971521667",
                "275787391606809960934002364819334011208",
                "20524487916960100471951247808998501812",
                "226486401752278764942454765144396767339",
                "138624681781007037132766273969694381106",
                "299701495144590335655321016780192243778",
                "97879077507544983010897408227062776524",
                "168088588998957568641777629277900435664",
                "4922692332802211000542293255522999143",
                "125003552578437608901232667974288130822",
                "60011732330690021726214871146977364490",
                "279789555716022576445387738836262637047",
                "210754141067269794763200072679551984850",
                "142994860717080271084904634737368181229",
                "265634296478404741870828991398592350781",
                "315527455272147344480611313204286989941",
                "262299836698921768802307852755092542917",
                "20573087243114180596454944826226731274",
                "298983556995716537155361602314707955379",
                "43924233450865414053298747607385170952",
                "246940648510260139714722829588148557100",
                "324292264578106973034173311311893418677",
                "94356631752573186378495756520711848574",
                "83367404774930016837147793070728511024",
                "97076653417944685076699346864671611121",
                "13186217091486185163609204271814295763",
                "168260931889529870060303613619084900393",
                "131539583554096523043494121968226087618",
                "125417693591583161491985447866418963382",
                "149740536516463308254114866533570848474",
                "36682008538796666036170338388585135878",
                "159490718992839723061453442445280701065",
                "148956846158860891559186784577183068811",
                "330533547185624362147666809179237919206",
                "216693811604868611494678126089840257471",
                "236749815275674361177395762566508653197",
                "200467392817000561904472542923733446684",
                "334460162150681115423757906360600364053",
                "316769451532385898206360300410638982168",
                "291252947299595301992991518857118796500",
                "306373470467440726556663839966741227634",
                "157841793113955045991787875007754013254",
                "310268131600814103779682582472171520337",
                "119065161922243791737975913256003890925",
                "126245842738453203211223860751215180835",
                "102788480394884167740247719475965112241",
                "209055694097552480742739827284020686347",
                "177974662108947373859949373751055617721",
                "209681445989599662726470383202499783000",
                "101447773949672623184932143525787621543",
                "123825750562663486456278162294053235696",
                "107661057930293109690219161797070749220",
                "17434570147633906428944557698391218034",
                "31701185515817058557954929037172058315",
                "87166475951252789996041833976494403427",
                "113685021569633491037120018574385482961",
                "244671594000239790132542268148445178572",
                "157559944898963814022342834687907265195",
                "339632963362312929390743630670203048509",
                "38607005199254876953602052769936361836",
                "51873983836249377287400427300876763069",
                "158327650839938369743494745642208310868",
                "123810834600036137313557290997684859191",
                "155169815948474905520615128104028771052",
                "32664808082188730249202674130137912978",
                "126724065486945030369805706424111565850",
                "105616490790999332448430086289013782426",
                "299233314910163653813345568808696294541",
                "73365191250133080431936691953553394218",
                "128446162124884668132375083442214892174",
                "196204235338691150011059081797646310161",
                "330078761887832907277488148369935371596",
                "120977261712631517702113280496214834224",
                "198561994562527950000432236471806513242",
                "69026268921316281468487681631219640101",
                "311961509788039512198399646102162043914",
                "244548194103358646132800260224516677684",
                "191494633678548583506033237203668371682",
                "50481522300838230042971082505538747680",
                "193348001977933845324423081811110823423",
                "339940372060316490554716941160980649106",
                "325725568548945879210560310411369843704",
                "295823254504797848944061699556093538210",
                "262852196672578465328995996924306106289",
                "258201169908120384257699623920560886320",
                "102449724444892752451987640134477657865",
                "189821707860443330068442751628767577102",
                "20154451029156760196923808919480543752",
                "43416240674361226657504907127694098089",
                "29861649876272824293141669079668303274",
                "194820722325390100311402704057659494474",
                "194046760512139360485203079711046776053",
                "117655358024060113298239298034606306756",
                "84815493936520227535758989015624926760",
                "248341162353229520445886902894955198228",
                "113628949677009654928971453572880965495",
                "319417152444030553370368441137914237685",
                "189029294028064322022271637983230761461",
                "320545130619735441599940452488482560270",
                "146042714993866852520533876487288600039",
                "336192434559177046856871519466078012499",
                "279023921912004881192758028891333602379",
                "315615566189172414872991506805120016056",
                "274452483150003142305581059763221111460",
                "163052299418999325209764297235334471139",
                "180614362382511667137718651590287293623",
                "178008185936667079954500245328282603608",
                "187554598120285810883185414125393545171",
                "336168291053278904151721904798476083012",
                "334942987501334353389153425309650211632",
                "219783061494843588301520590594196350985",
                "144312722623577871541231946077318563903",
                "19872305449343392405139863508308931821",
                "300678635685156526677828370699136925301",
                "23248363535408634045519745425349188196",
                "38728738320337087512703368486972960588",
                "112736970618596370528973346425311897962",
                "165062954196474646899042562672298844266",
                "234506666640527393696255639831658012379",
                "336820916773631782367410707820792561937",
                "261559599886472540477831272814360286496",
                "182775357907354025737461624260417769986",
                "154874855214724344998025070696772171952",
                "196330813923879720020219957658218641546",
                "326165212890921089225164574539541566267",
                "6498884830151283813976414929068654681",
                "101551455011879131476476383704821312187",
                "139003029594881240669141356852802665404",
                "20204383137930120225992302620531238274",
                "148425475415089548201978395417718594265",
                "141114149817559585581163774233654130244",
                "148664389100413257833346242187242401343",
                "315799999996195851588370566278350886337",
                "120921185671391403936374610716889173481",
                "167054930458975160992932117431104418989",
                "9798207137642306798321261315427916672",
                "80039597582566489923900626276218001499",
                "329204467668616061753386741449295498858",
                "11745438829572540793606631037331507368",
                "67368139623561991446282854669569062432",
                "269928756067178303018998161129173885658",
                "35685521815024262377487667493828432064",
                "218393777131314454069479604051281846765",
                "23699612788978389113371586027652129866",
                "123645765021031862383977978314006358612",
                "137398321263843049384051199755422015111",
                "71748858200870285216488936981095701400",
                "74004429242552003048367598296570007406",
                "99690190028262860023038633710428941128",
                "128446632445790508795898454547476557047",
                "109033084980650332631254481686399619863",
                "303542380723743631969027751356011030710",
                "14869604179524559377591531051413271",
                "108469940704198734933377493001358377142",
                "293462743952598395162139217819660038888",
                "52027836625672684361307047301024826529",
                "97706690475712423115696067415276014151",
                "5409715559229019242304069458262772099",
                "42032683481174414461133068486283278930",
                "165741156838283710613655473421032043911",
                "305668340684102624117576283432793358872",
                "248449878926671820292442516953584477778",
                "247141325058281113710415235995117674838",
                "9918654592045620208040987232586986520",
                "328186564677853609555305659049344123554",
                "107096108245321764592682471094115345483",
                "287876958189164458157984471243154940466",
                "154564927496873635747818933473416847150",
                "97464703152370544572969571540859165262",
                "222567075761589850023801457294878401757",
                "5121870130244236521093215613553007009",
                "123395397239643713444023134678785066183",
                "149245292883338805678824382064409581044",
                "190191424804247668709225671256504154629",
                "232149649106192890620349823463473745497",
                "48858085275690849820048567439168966360",
                "280672180419082644403155436833140060873",
                "144284564811901037705953962513816611844",
                "331158365591906367417146903438459165935",
                "118691558876627663232872332281929517988",
                "160282789255132645539937955494627523448",
                "163975939760249629150150991741534932270",
                "110308011333406016769516275541401611989",
                "206141673153321232579528045397808113983",
                "30558324343417291350283899054484888749",
                "244470336533227002541365744610114805585",
                "60016006189540559549216534771188927207",
                "291848337503583273656735491094597978981",
                "239215487438540756273593607444327710018",
                "299218146216424910659873624793326374659",
                "209909564070618292903475176086140311434",
                "204285269813330164611517884620261215921",
                "31731823550802722576873374436118666110",
                "258206007619979440151436127270171975062",
                "99651060333321647111788998826102568648",
                "252087309696294338725366361422001797955",
                "74878564619214888500850409906596889008",
                "316366452165280672675690067559709138808",
                "271433395208708429967529985892240883512",
                "142995956856785582750698575669672655707",
                "138067291544944865559882940327568635001",
                "91374180002129707015585909838404100572",
                "324042949679206707011285675304249609796",
                "37346175638083010649523741910834464180",
                "279160461757043612131133291709066439260",
                "173259029954308708519364622426799321224",
                "260823246463028670859681292226373972909",
                "40197494920153051929021758513138900937",
                "163475251684720419191874165670820616401",
                "132734287011614980830228458999582562788",
                "247820391761145007776229723243774774251",
                "131153847452006681547637052482845163290",
                "79658388835625967438286921085516630256",
                "198943224425377739056760058904509951721",
                "167414641732318236266599757032189291299",
                "53569424923287577760692105573986675809",
                "250345248387488906662865199340864014212",
                "323040179996886410512302877031610296071",
                "249839299146187491314048652747680041574",
                "50912243816977136641099469368205133089",
                "65330209056172531341248011648492926407",
                "125275845490709816007047281032976449857",
                "52247783818771955959161783854578556050",
                "27318248710016630530574021172229195433",
                "6335388024579369276231336287389437856",
                "262261314906514166261750411689834639058",
                "148546825166249400308696661286839660680",
                "331453716606927632180968312753274385768",
                "131181700040775524202841402345255380446",
                "167063494699691175092182676200894317157",
                "34421217352628556010764197719828490793",
                "173866384243666784783431809411815016477",
                "215273738623549792240656318636707736388",
                "272433021431565253234171475162104560097",
                "122709753034525119967914687179776447155",
                "151620211270196193400917567735972571449",
                "9118754853165163096898260420942003974",
                "247368625471484295380684166962801954743",
                "235913471144303746728178572933804611533",
                "177345113532280541533351105836773304478",
                "57588156185037543883124581548161719266",
                "203667785467195235155861533469998659118",
                "110118637876929129008004351866802295161",
                "283431031976999840921594204037392241839",
                "194430344864786863236584526108948800432",
                "208101478286738430185838454684366887257",
                "163149605030332458807641974205455370022",
                "218562788478020697708779269080377567511",
                "52173498195268944585227372838952729662",
                "187831493381735171316943478788179058453",
                "84947256474993960774597965617620979407",
                "136700904730714461152596393790635220875",
                "323465172880140909523222510773840379896",
                "59739375062848117877743781894614673522",
                "210295262879123046819117406096102185328",
                "99684141945099127354744618054904370489",
                "72169614209026620860005061769357280386",
                "31576325227191440360921199876588583844",
                "197934925057985040116774176890272398678",
                "333545022063120643900832936442429691138",
                "272796719331342785223827294433444879156",
                "107990783123426665009063007492851804281",
                "243847429071065552653277141724284318979",
                "206101503997874672181892788853386825830",
                "169249497341436529428310226325826690589",
                "147858201563683069702869693724052201082",
                "279104050655278924472810769908529190501",
                "139282302849836696838145620922528643386",
                "301974187222688578779718148226257121043",
                "31604756000110552078835268587535372245",
                "67059951755241294730970032136477824268",
                "256290063738546193685258383025388440595",
                "265764072093260182246295732859183935516",
                "89858488788350293482759161609463920050",
                "134544243402486126781955847707059126310",
                "326132871113294133888582615421849668076",
                "159681111662577040556174389088844038567",
                "49983180195759416992665979456445309176",
                "319306381699849766183892987878807920622",
                "178687778124420112818874040679079170843",
                "226427337213365884118117142320064158019",
                "233371422471193166802710398893717045351",
                "312315423189882196861062509936982896940",
                "213775420814444450161298412302727810554",
                "51161176920777953396197189533602138166",
                "164201716332662669143337997698820253706",
                "152638280095468782775328913884738844594",
                "149614693648135614023794860303261531470",
                "260135884228952846812208244886123908451",
                "210807471264888456186467880427575108921",
                "296336078438530119638622631295636889656",
                "96909576726506292428140686840041375348",
                "193723795881722739868857057568694455799",
                "317890162376403228378350618818464517792",
                "216368478416856888150004160272073380534",
                "200119038514092253414884893398330466174",
                "12226340360508193095893117117485019972",
                "40606639719785994416114095128671900902",
                "146124962669629776513987928265152117854",
                "242286104196271613936072459694648996678",
                "142838908957440360796138215813593840944",
                "54805945998591713156536106656185770129",
                "128687315137058989332137481547850134173",
                "330522120441122690517591958169119575126",
                "43057545055393225904872549003098600072",
                "273754817852862397656257683566341854304",
                "16631169283043171639754563574718000516",
                "120671317709180236154172567278597006505",
                "153137529563002621404870440776938319939",
                "161103135017520308987702484782604628770",
                "203786871675971832070073773873826512766",
                "103559425877521084194600042114102873750",
                "313741848351003890783003824458825729879",
                "113042400601514710030720774288332862365",
                "253637569028748893929840318659500533555",
                "143736835223758216626861475051835593528",
                "67886980614899003869572984853644387263",
                "178886354926307306093706959760722713256",
                "50930764810918961180352739556193934653",
                "177988835266626195840669768657879057586",
                "159360198580764119341341521553848356885",
                "123495678428606956708514743949019665997",
                "132662227062007394893807963602410001005",
                "66523209383633352067914239081865658579",
                "138870099317374646667043960865853532429",
                "314842769101550085282623497834910677757",
                "308059759810941448438387071306609193023",
                "62030007218431211682301696153001906404",
                "82686994645119347910905202802655245141",
                "313700377488522759589988547194360785074",
                "273780588117616945661654055548319902832",
                "226350902145678875083729810708514332666",
                "236205878225467383645271177443606013447",
                "109307369295362003698057385681362015982",
                "90479410248964234437100645609698770379",
                "207248472637530014236078189003124967205",
                "251414292516145223635687914633529492984",
                "94184023187233929565108519288793119731",
                "247735485933965313425078139037241278171",
                "74973532049212127028857805037613160980",
                "220861297317755825804336771719901555495",
                "221036271464837727451542133887147706320",
                "219222030472239347379902058126687819715",
                "328836964565542178898226324535785498774",
                "157775068531834419971120476840351398512",
                "103738353827302311789341458046980667243",
                "68750182862790082562114304916484683860",
                "36617457136023259489691644501741108336",
                "207765495102508639273446487400500258412",
                "276450842389908744084691657478282192483",
                "288453067882615838501242763303542925635",
                "279235689735287685610391169971985318119",
                "132141213091301693859254732804277297668",
                "322777949841812643730634547794439885142",
                "284854651211910561654321586985530350911",
                "137087000924949334546522960232542789199",
                "299495146008870551634842350211389129482",
                "161805331208247464530155980483861632911",
                "250866879687038690204324401197720978930",
                "285438505256190112315487635815608191205",
                "111879612296863737967957535803127933259",
                "170190589602059298709886395320987458671",
                "46918367986996762638902750170539688561",
                "237670283074660450300494015281760194209",
                "320019054979816198136087982662568941726",
                "246786108658158280991790372545655020132",
                "286134399754583991470939672025880870211",
                "132503915136771599032880709134422373390",
                "58552768641869880475095239835497466546",
                "222008329671975686849178299500394261745",
                "66248815444516421149502375853782542556",
                "262806671680145730575854308608817826340",
                "260628847700703578036855689660042766000",
                "237740855305042219580123861190477393166",
                "85661628514704818456321109642942012932",
                "297065097046636032908285782748125459345",
                "321535218876712843130059412381023386277",
                "46675999894560330621463528413595340274",
                "264199255103348020271470236241626275817",
                "38022995514330697241023113176446727697",
                "60957604943052591103211504724432859869",
                "129279961767786992246134872933698768005",
                "103173434041018310873093717856014835786",
                "80604386896318272283513527732325821062",
                "141618639235182664440964014981522269106",
                "41747878637170743226336886485281806355",
                "41121368805549728798143423759388698398",
                "222169565077480686294750910248648402399",
                "232232208025000247927101938986153050705",
                "78058678633746823420986698318196634576",
                "165447918566394913110355731619058591458",
                "37403445431276166159601891558983924880",
                "43563410451325393912403740323261278093",
                "283811044273958153120724906903234929123",
                "263023740359563237903796299751544596325",
                "51166598674079943840165026319006239167",
                "121128934573472352218916321343588212261",
                "115735747623151796083083619260797927364",
                "241369428009960420776156727969983732985",
                "86955656307739443839747752101281393178",
                "265907108025334100609449114225151046233",
                "248058583235927253365558313532758902399",
                "299517038734804428534849603148732335442",
                "99507247302375637751243282277640533868",
                "317886950951498705883023956383365240715",
                "174535126318164777648330709991883775889",
                "168034978004721188613960378855363802658",
                "159421428846410560818628969703152426888",
                "65595377662753336802002310679263549573",
                "28764549922130466406043891182495415790",
                "123396722736851591764585481669529945695",
                "134353687692481402120690854331334686721",
                "62000393398234717639613967340034485818",
                "90956906022904686200648882978697639368",
                "304855899597322844042875866036311545509",
                "64805843274381441594321753040150351737",
                "63892423962771291370651206659736376290",
                "29552551883240093659173026609597107352",
                "180138351835960157408579813583935574808",
                "65624832686335664471735522099059891144",
                "204035890698660811091838804058838218090",
                "125204184390180951401500084881411074339",
                "118879998861125356483138128138164930257",
                "193935756908739817305476613032633988049",
                "291992547060238318966505301589810367319",
                "158993712650060017470902758557625079303",
                "163458922624330202899931703133635317442",
                "50481923999269318305541763022101171921",
                "307974869735994034393863907496015801813",
                "53134884604247571317255849843051017458",
                "160862952422851596295179531694126429887",
                "90643224657320740053191367335879930271",
                "42864791664581537199890829691005266378",
                "124046120019512568178467901259327277032",
                "318816824773323693244016422093802441143",
                "30171199581266380785603490294979906534",
                "336778059643266029115914162785366122341",
                "157212186566205536677181473617866699115",
                "304132123191210790516109230374979479970",
                "240792641283175999762398671880481166387",
                "178800751925951203410862147184739601224",
                "24776587238870065978664151949262395894",
                "264242589275396580405371057220311157968",
                "175078258394680863991530451923496596899",
                "338971328625983888173710242471345521847",
                "238678901706363094822403071308840412423",
                "177323583839957899353333230589597220054",
                "287350029499170759080676454777065897031",
                "321006388945097089526304572011318423672",
                "173578411505869131242512041030169039041",
                "71402590946827837081908835582988750262",
                "39443236992692334991867669655546826781",
                "184732844700373558891283871961893087581",
                "251742896688179750483131018317124767746",
                "172611360695752117278172501712029217712",
                "310101617064793697859865683761049995474",
                "73484024285252200509084235551520843263",
                "206849195006504297596339366094627577835",
                "321950185814182037288480156445707798192",
                "252690577422402024905985593829898411134",
                "166821148443227875101574863063180234518",
                "15989879336503567460333206305237859017",
                "272240953224849943631277261423300718362",
                "40360777490637475109754758632499995370",
                "289431552823900668135292484021724742039",
                "16710998391437857295736816665511205520",
                "186265802201765935770880305881501585022",
                "80375155333957726540869409497522823040",
                "269823408971410892462341541428723012958",
                "243025105042536063252165220819359140840",
                "36082327108594182115557226379556932285",
                "20014916015539981992513217841354356624",
                "127289583282030703974487029249136156805",
                "255420702796326237716718504218715285360",
                "67970714483292009933675767277562976592",
                "180175065717067729786325458040758584478",
                "4951413314628313782353344277475955869",
                "82730410126466258235281881124312357874",
                "329355091451794983354937581672692851233",
                "38174515864587710059683770062076316014",
                "126016388398846007463648153702885267271",
                "51637850751096528209672952290996089786",
                "6180797142460307595451474271567048684",
                "109862362048204451845521919509894696078",
                "232081789469938724905620099310762264916",
                "115301063995331802300352931998839627620",
                "46627271965638459369083783374560707401",
                "229682588824282709986506000783314441725",
                "242998463793413567501207270279269035305",
                "56121292972577384326748358028753637711",
                "127412401834735466576178949596557917042",
                "161645000695353377184617632652105782337",
                "66675470569149690907931726834627042577",
                "290736755308702964074469577938627987594",
                "235294183220437897477321831249839584283",
                "149266540294224986465060576625381032455",
                "29683508013431673710381077235885221930",
                "6690274063875493099996698590523768202",
                "315892261920891260850282967945071009512",
                "86682292908346787766524991699841011050",
                "222107371921658077812693792785712742561",
                "114556730763722830175673280185007293681",
                "180752384754438048768838376902426331982",
                "6288649693120837810781695313679450823",
                "204286251246198094862543582653319428600",
                "205663010657112758608808997608873410068",
                "282048698581802001156523525671708930792",
                "266528424534661903621203443576791496395",
                "293304904682746889646351308884370089497",
                "258019878415539613649046877984005169259",
                "323096661297074515145670176490459078815",
                "218003670009330357609228895487460356843",
                "164169802989063671476803548255384407176",
                "2537262958143220053581569670810999283",
                "21701861049247515201445016287791809848",
                "264092056351016782362833120787431438709",
                "88001828457658685406830301221247289670",
                "261774620022730946938174880729470849003",
                "96300234959682277860852934086473386230",
                "245620658725192105190713936424377179794",
                "3305864628408446873441080220749544554",
                "106177975876895164557538860530466499185",
                "337631481087777606445051693377793899990",
                "118610538423348807751643526962681161386",
                "194149669975701085748633531704746943913",
                "275188749823837034043541484129603065954",
                "42527550213849015180425457389485574021",
                "148344750517288053590561582531698140966",
                "281158237341599513313325925288093876619",
                "143997361905143879998354618051676470194",
                "241213790510928733519804476784137994550",
                "314391672227101102271564777953719917989",
                "17555288276196063970795012726297279322",
                "82451241020122622185766899268285548892",
                "28568762014153667638265510688844685360",
                "128905050856340779080768319787427571516",
                "75149031917374965859731846828440342972",
                "1696390119804740188540663878368117751",
                "285904076314540101974185837760629538094",
                "138205941383649224133608653956385500256",
                "79997575861814831474155336391030292753",
                "296211854249412726652487761380679835321",
                "183658917220453742717318558778347749430",
                "315927007349733535394481189476756215996",
                "22147002794028820797075719791078530837",
                "61726430106084994479873639168602501509",
                "271554202002978805637661797294044348444",
                "318311666758829900115467993372147297843",
                "298745890809128647415093464008276782145",
                "107988712179514663200878609240397389560",
                "64994177786665563655756587965102728806",
                "315638801693064770371240822491266221769",
                "73697262289651198978471038446916239884",
                "255002534299534067959130428483847753789",
                "283059882299927613126747972706025287932",
                "308900532420032233462296042814333434617",
                "284267461734778603458389137061538853823",
                "179628363485814265838426546850431435765",
                "75370133237721766888745564979791742956",
                "187761070506301747663821851119658693869",
                "241977594104986154726739917769235299264",
                "198576687275934927978072663662347884318",
                "96296583412946104145478824661247619251",
                "105920313043254762721625189790105240222",
                "73418260116548119515353653478050998096",
                "205046540423945968378590448584789624105",
                "164213681398880376048006521010947477271",
                "142662577529477398681583261670703776715",
                "261612474516511107020396196392084573627",
                "163087159469571158897098122354534592741",
                "191054820132186565934507624217996530326",
                "77713753707685549598461867914132731495",
                "128573235933818030360743733311909815433",
                "83917645426894333773454035176071064823",
                "262598657300434562338988913270708360512",
                "315226157886871367110573235143316158329",
                "335930715695166091569220284005652749538",
                "254885399411527690850213096531873843577",
                "249774061680796548056172361009431177996",
                "269511816714083751410144152397137648620",
                "93380380479206851691779074801588008072",
                "250406172200593079954585837672210956740",
                "147149198501490931320570876298890486629",
                "271263567557098970953187740482791347495",
                "192007573998931669870820306112428006307",
                "62346234774381052463529072675598302474",
                "106395741664654636220432991204822485701",
                "259786766737327552975630216508866997103",
                "118698429264832437140916605595388217932",
                "314303807340355264250577862802096901424",
                "256351840063647557201961339196251347181",
                "71123983839840605592716152746499256050",
                "310118419141255952877384118842019950029",
                "29888106303238889967391766941972738353",
                "44376939493442537720067844540753675239",
                "211703929007343960793150320381300758837",
                "177135472982481479911428882190272641781",
                "310786127256474644670790467445774043712",
                "309177842662893148662113229801648207994",
                "158964100211440197750442189485983285687",
                "95185743809272665987459192949060911628",
                "45319823842211045035728662345696579064",
                "165450034673580453300356273960712851130",
                "195202941852756015162653616258977058487",
                "249358092029758517783279043068230838501",
                "334514368989323226806813757947450399120",
                "308244800255334131585040568957047168847",
                "336756147054152100555235910444904661009",
                "293654377081752399415315811655870824161",
                "130304631869977663207885697475712080913",
                "177671650840020587444851091475967653323",
                "294416407052005093528417181630580866522",
                "336988621150319430818419611740746558620",
                "208252983043545425565514938827709907905",
                "2654880799704185430193293142741566653",
                "61523253622828580416853144499666265930",
                "193824769010432608053752410410550562236",
                "192729678678584130413753005324843858902",
                "156253425011826633059728671918457884624",
                "207583911377845713042973735774303473242",
                "38037805735980164825005091473956914307",
                "72910136539807676109499617462251137265",
                "75572988667124372067720138528592312883",
                "322354573800187578918977906087239549327",
                "47895911850009608328796085111656932611",
                "145510227215440680052420643969060854560",
                "192611108264166751336360572853437472808",
                "316856556952273975373624108629203750873",
                "157846845267998470633235179239085567683",
                "45159135668340798274214738370564759972",
                "230445803266988954785769878990982700662",
                "239513394126571163473440109511630815961",
                "232116993816864527389389723157525368272",
                "182019695337139163989319076991092353861",
                "50889312484995030353462519725636074788",
                "284143942370897094797684318408084222985",
                "217367219972127910037355396998913306590",
                "64139426450739583296830322683140894723",
                "106878644412077515651772670582793321176",
                "136332454612583040410740761981384794061",
                "254204426187326025983239905567456898399",
                "19547111424086281761798994171454373464",
                "188088376737891542659378280633919851818",
                "276405665574113383732958136031782761924",
                "185967363448972165513498706306511180260",
                "189433522860495461869273778213188367367",
                "183115089928731882313184950775169857300",
                "170018872834673782012850027652111133207",
                "188539899929934274408081892406701913948",
                "274713044844609740508041744949386211226",
                "205254778818447405843559564531699408991",
                "144581814080043893878920289174913925455",
                "319509223007399941043093183818828266071",
                "5003977937112621617668365636320716870",
                "142216731910506915865984710317033025640",
                "134152853412924277559399932604642601172",
                "224604148139691644311457706768305523650",
                "285108482417388382951836833138612893295",
                "303078618515825437766413232307184112596",
                "323354075130496538127195518240173443156",
                "7240835563816748252375250270158061615",
                "136327365626758511012941759273322812480",
                "201549641587704772267325870591798728762",
                "6187406705701031425119429634253755204",
                "167361395518735669427044930872237763003",
                "146507875023600287276761034649029926730",
                "126944343998704504849498087451539415092",
                "72590029029937984120727607515993733078",
                "4740595372539391222073080715899995076",
                "135595341597775482152425207119784024137",
                "328530844878250169812860006193602006543",
                "98183709471116039957861799388407635838",
                "206417163135251092741966199544930267191",
                "256778039415318616226595824327266170325",
                "234055739946005205016708500002838811949",
                "188556776478243777863205213662986520730",
                "107633653983832804837272987656435873700",
                "305273489666234736388108268588935521862",
                "165110071348389784587037489302773143272",
                "188443919372196736927040268008365240344",
                "256301248797911605466072559627744693265",
                "7136244000672410214939822479292767423",
                "3306333878896986785961856108460152606",
                "18434370747012533808879113646683989024",
                "161917450225528905709849865982816470918",
                "172327740815877716525963806103264052042",
                "68808793560765538390079015098139038001",
                "289128121762250328054651300722902861751",
                "18777440722647275332421275430407021845",
                "275176575930778191487682062801824129347",
                "326820715957990939397561881014295965697",
                "175406772867389167664042461517259006349",
                "110203719696442826249438794928331126060",
                "257857112718589797185786038374772048945",
                "141586872830262563974523586094508682936",
                "238384746303115402384440299063411746025",
                "337832495522269168990147133438715426145",
                "142057416246862161945323035221070573883",
                "64180176611743027130798882641584184822",
                "297070999552748943406862675796251790523",
                "255589037272178899210826241630236135840",
                "217193025732711194794137532048655478736",
                "243484358577430003407067088881739646892",
                "243914261309972334795063136146627839461",
                "255500379939520557754878734437029870444",
                "106134145314194225870325808472522587024",
                "95936656453196003840863867909158699266",
                "188324043033503729508365416869921949617",
                "191273023979020031592464664456852483274",
                "272615420512687791904393972966119725149",
                "165238752373802655873196319247935645685",
                "65493196469005021811504527404368573824",
                "198489222786452669932900696141340453821",
                "161876152363333175861580006413864117033",
                "162202997682648874641789067930541299847",
                "64639413900753512605404642887003379353",
                "237430803458412192525648143673592494642",
                "143594997849081043013908143358718026411",
                "101360782739743779555097366888100019379",
                "119185143033927932792634622697005530306",
                "187581423659748785272710657780585055735",
                "292277659539984624238642446363795426530",
                "3411384885514431511178060043969773932",
                "321880332711709121581956428114561408345",
                "96508016130312928267357038299232832305",
                "110709174749886030974614690346951790595",
                "205978377026355525587156762553188756990",
                "290850377928342302839592500629746366275",
                "157965110207141865120422049342035804627",
                "338354069567828455565957900414622628188",
                "302220099165540948243338949337268760139",
                "122166628244959282871166452896324668545",
                "288091347898143875489287034954945424246",
                "66195859360337933373143743361920754817",
                "326141626618225573328802849265268099492",
                "75996884659457737185514786994059436404",
                "80397000875006661082725424689956141696",
                "336745610764753061542739898090263301134",
                "165324476062958405219105014871436598928",
                "242016193752184257818088991085984617557",
                "289972790358311090796897461546726387699",
                "169925780076092649625547963637946521015",
                "282255306115146833813692573639882036294",
                "334655344561091740043312064630332452607",
                "178431312020662081992665468155681677621",
                "217913925384021234063393319401152374339",
                "94168014940560296465420864327372714199",
                "317971462696105002943717988344674016444",
                "47520317395026119744396461519347323449",
                "77260820962597254829817785339277446451",
                "300216547721336984349544882537646447803",
                "254168571681456574184889663362932556998",
                "235424249114881929921886567212096930979",
                "52783791871650475144341367339347524196",
                "51165514450703087728776213103812565799",
                "7225022616273722544954588313693834479",
                "98473563748448868475309176165934891387",
                "3805381782371333404022453545978466293",
                "144273153662749640599908738038278990830",
                "300155603438704807695671881494465687288",
                "102415168844344588847600828645486005432",
                "33576993009766321703297153215555143167",
                "182001470539913407489685201565182340706",
                "173267866226495612495454260723550142332",
                "238816187009885464481091160029891138670",
                "305722594614476117982843936813199265665",
                "169736941284222085695856092205134398666",
                "190974418082477941400294113305110978018",
                "181774430997881495805969873401365325088",
                "210783058677816439420895175080425440590",
                "310313237186811412931351236554591962863",
                "39353473066323838996617516056480923028",
                "30152558438093509760886104385679026326",
                "276371260142227926707965731235607463426",
                "101454076346402254335699585507010110824",
                "316523210794324796552368983583924984254",
                "336605777513829198459762764861078440917",
                "235539029627022642501783467918160211477",
                "60599789634632258949484656559923391226",
                "108607799539882782502796591602019706339",
                "210424523968151476299666950784953927028",
                "245704501537628579181032719378306526619",
                "208647481681226800084025189450236742044",
                "209455461540791915211937705281528654069",
                "321480408305331684025377160264856179719",
                "329105570561213460951187836064309736537",
                "339191096617118766309969894432150750716",
                "52499450673508783399394612111425456811",
                "46481735246610879407851069470834310724",
                "246047490444436465642570504003590212464",
                "281727877261997138174584959460244173912",
                "169537721841780009291931647752733702165",
                "17463964021026758522567145965879156495",
                "285416655100564856117809203883017643578",
                "294768529972338110005221061528203833379",
                "117327400274874174995249815091618602620",
                "183311117568186937725028751266102166709",
                "277816855108836931693433261171178713093",
                "250839915504760111042078188071251169782",
                "334267971260308969245622647289354412678",
                "3456154387740075622153641633921459983",
                "125508170289618232143102976189218950973",
                "345799499169856287867690790985976347",
                "146681064587290742568311381123511318641",
                "165799039520400540374943009314284756514",
                "12133567030552501741669851867726129833",
                "175724379925337372745065360315442037089",
                "116106287064648866345467107107224251455",
                "192263653642084045524217778433560868391",
                "94569332791435943506649695981157062912",
                "107721064680567000710659754980623677614",
                "63444650191584261293785899799817326075",
                "293472890443840936690960523387681556736",
                "49123698819520726774359124995235612120",
                "155237955148444583223730032885237105143",
                "196198452087024355194696132319769586707",
                "263022575234244651519220004202663184976",
                "267789457924989258797259308907165266159",
                "53653958110882268444473140245612027826",
                "144259546930839016304160978539953917219",
                "258631155634296568107661425977082629023",
                "131243938556405108843304018783452005073",
                "40693583902107669873414325934765735774",
                "301966383505378992845580292698971501072",
                "249385420439080257306491780446313343875",
                "46393517402765641824842876780745622968",
                "229028241054923106684490342346045375807",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "39625622918060442307666150491604509726",
                "214901771967114675423974911369760340919",
                "315954380763803042994947142304864098473",
                "188923025024115475326763794099659360268",
                "98407782402773968181547207015081054832",
                "141082894679554210327799923133792798934",
                "187605643954282476324059660379166485837",
                "292385496978031127374110827723738363506",
                "162599101775600039911677772254693267654",
                "73623425389097003518397328854836790371",
                "178360272927573321606320986172386083405",
                "316106245768502016844620132156180820247",
                "162988155311573333062265153455267737715",
                "23034317175322313150765664505208568459",
                "160172420007399320515731019201222658239",
                "299312284445288695761782713060801819178",
                "191869575077383008451754982900517133223",
                "140932095925848337453709307022245653180",
                "71788046946604303456048719110691844852",
                "309422451064413893791375534399221657490",
                "274819964960111680914748926409815535800",
                "284965868045076494074161098744856929108",
                "299331095065410567724003597363936687946",
                "84987576263670915376224206445585989633",
                "64858280343372950100785811496303180992",
                "244030211064580313304588473104387959603",
                "24068697364763532933236660843732822926",
                "111235846354362037054957852652343430957",
                "221855308169554128384647856695127651520",
                "173900478267232722159287938064048552372",
                "66354731835679423980237560629636610465",
                "294003221606528224956131452067093885407",
                "163533178264019017909568902493873438090",
                "309285709871492849828569209333109605263",
                "188632677615069859338775535270355394387",
                "90628825855075557320620675450407421059",
                "230986752892281194949737964265721592662",
                "39018689826636081217813024410495322090",
                "215221995689173064731104044762999238466",
                "316145200255205587378707535804743008553",
                "68306610485310071822625451792044848379",
                "169395433278232500565037379556813931962",
                "141111614085336476882858639051107250468",
                "301197582424284624726581319916078449556",
                "76473956478760847183530766947691079505",
                "95372826492407428276734856470485215394",
                "213041017829995739799814841188077247520",
                "8454605689221742605639696394613772933",
                "65687282755528585624280553431823337884",
                "51713854567206807474005426209570329577",
                "285538635126419860161665558926224217709",
                "241008071627519158892598280637272637836",
                "304656242629048510412909945222277886508",
                "241392281020877552793659008871343187481",
                "268009008755805187076650664151026620604",
                "8483583331102082997783447039087182998",
                "184665570995949453003793113020887437618",
                "235612257402096107743570871258048632144",
                "233691113165755293713764792361912248314",
                "320877024867227614245553691926304071478",
                "82059880928642443250507442849129435052",
                "124944123251709422265515208580381830536",
                "69918381364046281851263419811414035280",
                "134910327186101157925229863635610598196",
                "205315500432624423574137221454696886548",
                "225814195580443485374084573595511066974",
                "267369261196015423257769359688138443683",
                "41551557308885582579320044828002801164",
                "285202158833069027571540145668070480376",
                "223242464288148069956407080613831654860",
                "263081238476340081164172589454176410922",
                "192518484676427975775495474256509177625",
                "191072114372329652539100578839305466571",
                "115766464473501540595479072990199452823",
                "268678299829215026422217454883834983670",
                "192614765208534357217855817187091854825",
                "86112138198398864849620588257240510185",
                "318566694249223810134195807736278279143",
                "30381982689341647935295526541152246213",
                "262799795595935070910166443217050640571",
                "58956879331364365798116142951989864302",
                "247803701857197936572150960062881125343",
                "71645885901846914417692848376300065881",
                "49239106067614105962012414622606561960",
                "130864671226030958070857621308150541380",
                "105887367134568190168899548383423813792",
                "94853276404338105977123793774923136927",
                "106628735758048315495312367582676088840",
                "297483946155897264045176198036032123093",
                "280908224754934681981010787848953500620",
                "243532536816534123189776045411059813755",
                "36864757657312312214356273432079874308",
                "76269819726133892209464194503523344237",
                "289697856733843283723204116591305844607",
                "213235588330731940294346139109640889260",
                "98667768800786293892395798770505678427",
                "117587333010169201052857540478433889055",
                "262936916042508454833770752546339020144",
                "116574686638367939141179829501035437176",
                "113074059942942266462155023061240458118",
                "284703104913475389826502688114986475335",
                "338094855658536686547671480156207933417",
                "162890901498830643023603625818288516254",
                "192209568946118939345925688548661495693",
                "128997766957010476112972232266735605690",
                "184147418455352375393062582700203119430",
                "298780982640426925227294573939261925348",
                "289766622863778863436194105004932315938",
                "290566077726469712081986219344246300155",
                "161770165571048069742224908549773551112",
                "4480937477622225445107770997304102077",
                "295022421422051551543595729294373849349",
                "26597686162349480239118605606957759325",
                "23387157838490609322575044600078063944",
                "40633058758980215809597726307863660049",
                "326744067824017619385212897215388685852",
                "44141179610082329734213255237552450443",
                "255328546344292501852886892575186216093",
                "310800265543172930589197131457179835199",
                "11873914050402759715474651042032783292",
                "312549561068779290431441376610815762590",
                "159447738927657384703062125993163701646",
                "147543073684562795781283621699277705993",
                "119363823521128407549931973520553813837",
                "296121594763371321874305681560773396613",
                "36395539461962827960913043244529610050",
                "271096129393962378951484911544596446151",
                "42754306028310806463871771157120141087",
                "182615259976112561009210111325349277491",
                "247017830208619319452025320161255999228",
                "57716353936438358118580422869889674490",
                "233532306644040935778533170045122286900",
                "142356629221709791051038047606127065057",
                "147715908298051654468352507831110640415",
                "291447871425416400646048387511301975201",
                "278817429874175486439371963051840287924",
                "324441262138955946012661147203480057686",
                "119451034654074432148453862153381634671",
                "255791543650978947116422142398692073487",
                "289399241583492227284850731876087479713",
                "283011673213121113577479498823651032718",
                "202173987841907786022024574565981174786",
                "29813649384367072077455055265893807545",
                "118156555249181530082263270590389080341",
                "181566586909325100727865931453479150404",
                "238655357542182586322196399414308553093",
                "231442720532718337385953331677017398732",
                "52559469428913554089891885055857745326",
                "155394926201423071600164262972168497199",
                "98148236413413377441343360812125284770",
                "111224004239879320608087000489521007400",
                "140910552012504018873932312793770277129",
                "246111676833282781929751806281154003179",
                "225151519536251836689779916055768046028",
                "48815582695984378482883197958446147465",
                "198462082968709334644138113315189369731",
                "93376897311368146054626408214425503972",
                "325421233784896426527696590284897754264",
                "300851183139439427709567701844424470634",
                "302014852818606806492775201883258768674",
                "338867512282869597392104666666604725120",
                "255601034371598489257720099148820858498",
                "94457786976518667061349051142521834413",
                "303470440016703523034128477627049290523",
                "307979064124120105490393772861677949441",
                "162170205292528380361066570788512802846",
                "131637850572966760660654696563073957526",
                "323883621997239700373031974518901112543",
                "184736707062842934167182902338743577438",
                "320089394637897628480353773146051948647",
                "106667453184809247632788378286036533046",
                "258619503202899804849508275797235565023",
                "12380441852137573012114255910978797529",
                "303105747303458020041165676554317845922",
                "269996417709257927242127006033197949744",
                "102533738397312459003943671228358197905",
                "92074676647385215045905995274840407298",
                "219664910311757437475691479081606341620",
                "143379594369445878433155044222188426105",
                "178909361354999336219718967817980486716",
                "92339107349240375911024221695769114083",
                "272981204360488653043423217210303963595",
                "162020893215194698647805873257843097718",
                "50210951491526526511769624688999793861",
                "65089688346992354038436359074864506555",
                "34343723963357695330907592571215346585",
                "293541720129111573948081873076126736591",
                "168672732106186794007557159476962270980",
                "47168268022571878208425925818266436273",
                "279769580255177616378652429612137338764",
                "212747289717791842623399144333111213059",
                "134499335739666290305236951604460455182",
                "190770078647393654141825862227437548477",
                "3156054200217616617444711052431199115",
                "321349617809344761774292147478421908723",
                "262967101920899002242292153637666817770",
                "93780666648080888785517854399343206382",
                "48648331916881158782827035382860054719",
                "104083806684071533501955342691368183923",
                "131317657151800088783271595599251540663",
                "227200501409139467637941020177647985614",
                "274225691586786914846106174337201990353",
                "308492436006485758828154280724001693861",
                "41989870956531931110935463924571562860",
                "240531565045212584231455573751849998715",
                "41900697643572787231707741561150246791",
                "201231477591623326351692234504750454831",
                "323786811576733143143692533682650268882",
                "290029107830928283439613298941142417238",
                "275423289999826103202511297785993706249",
                "122310151522474692433178611517390224006",
                "202399642769554829583692367834711420155",
                "108761481558327859439476592760024411602",
                "168784708798869877000833777691453066331",
                "104469814746876258573512139546571785696",
                "335869377382752580259838147950596766435",
                "41483131196433258171113536333745452271",
                "211888745697956188075988896676193821706",
                "31266241825984133888904193674496643991",
                "328312514503194265126065859824014706537",
                "142870439262862412790647015255504793714",
                "877193578462974755680069866549462107",
                "192275090949431946328059683421110699885",
                "200414324603032688044657370847586594250",
                "109403811906356204113128028679191315220",
                "79150469112608075241103655781217437354",
                "105846485403590183411054143933768303808",
                "280233295343040424548700412212352909319",
                "53215684632157401419571274433773742297",
                "266789677028288362915569912171024592593",
                "209929107353022529374216398214434551911",
                "20790634752445318181203340938971967050",
                "231965751904798962725699406829834165758",
                "84066223463718387247728985205451831210",
                "319833532594322593838910044630313322535",
                "315119941971490436502168536190121817647",
                "136733379382083306412660908587103543157",
                "30624612905847496694177866100904532889",
                "14564019180914497217617950475687355097",
                "105480015648662293531336070601312987848",
                "89338489030779966707681201594974233624",
                "213920326593055909005590834221719580292",
                "282866473742079731682742165471479897519",
                "322058611842460139420729216528184697827",
                "96775368254444863653329763372584509898",
                "225297241612243339551494056524621870970",
                "338437082087606529720745863602739813323",
                "37238446413918872119335388010292870509",
                "200760175968667066939094000376572073496",
                "53552736919745301301833270758448600206",
                "78730173267736650995797126090251225498",
                "12847588875408154350088563561266905400",
                "308933549784413319474756049698139256804",
                "328367893141236470853052656733964397276",
                "283313186926991416495839858984112676571",
                "173052805838577433927946389788067382490",
                "16696400566632194293055296894104563591",
                "153977558514379310822132305548734049159",
                "284224258676865623942959313883104114496",
                "321494997619815662105480343342182549765",
                "44042307119144290953129229649580418566",
                "233322590710397129684293862374433812119",
                "45795358704517786372921285573560698266",
                "317617191172818830877931990509390696119",
                "240045315042987672258420952988738631313",
                "2403397977175240267890207736631008017",
                "122353536803597798736619771096750439746",
                "275810373441765630946106479008581078069",
                "54527558535907769068873336604731275899",
                "12169119841008059122107335587351353171",
                "210517580627922793123677292866556843564",
                "140858211236175937439109238502780927741",
                "238118786648031647196265891894069168682",
                "155368072741695142895971377474621901371",
                "181892015522510393607583003149235778429",
                "261930883344518593877835104435663154691",
                "120823530141896469248205652795737695321",
                "70700625515216205178809166442209148826",
                "99529559704449681676703634230568346646",
                "294194906289962406358917689600897444416",
                "100441930953782473409208108398335633232",
                "60426712695023861236809970330717134552",
                "247342894764185649485141345244945105573",
                "63192272405358166010704750553153017292",
                "43593625863810324204768686813465534882",
                "156993337303824545415960460313903001136",
                "254700526396602352316992029334909265664",
                "6893969770080434403770300323628373727",
                "101871276233516219185077277937417462400",
                "304869532895302498153136879677513285742",
                "59047042579692613421054064552220709383",
                "52618211167142931158126694835559092097",
                "204355899848661455328632212746824508356",
                "293680282996023466615062612999850372134",
                "29273025246370761750806441770522797649",
                "107258790673090163292541014566901992561",
                "267418171186889371351940258298521445105",
                "140229298707646153143310161485323195463",
                "12164072966506344054974116479156281524",
                "76212445505771100027881267111347096697",
                "84961322292390561357282033658925540188",
                "115974803209934406841649861857257614039",
                "49165578106146809462807702826219087009",
                "161088643275035304949048733175428135146",
                "306156978778941010843416955225816135013",
                "115630056475027545164609312667539218616",
                "68096410879876775572222848310918505477",
                "179376712092125271851612315029410940341",
                "103832635745094923071549301226912312301",
                "233968601221991459595718314869781149711",
                "156018208664891528480406238588658732822",
                "25007787233265448541498023947132373234",
                "259232164470301687560767912148471807089",
                "83842503449809060336947557050880896860",
                "127412505822644688870104989603135741979",
                "48352327354133946851771816265010021911",
                "4138265460159726278258332381207245947",
                "267020664785778319691652486941946936797",
                "190749692621008463091365824409720392957",
                "307002860037732217041667919399857418716",
                "232744116376570138111759661683532314912",
                "106531227579811627906483101517122338234",
                "206415052405704754303830712611421811484",
                "69328584278212814294426559235018011844",
                "152906394012598244643756614564446055092",
                "62415037645120316507473294195200573238",
                "180741532170500593111172150780008684334",
                "190354419174780451055859790508506503135",
                "126823958661702475787468992789163346014",
                "84594219057007206047071609226921816765",
                "205690857079122519984777499194274949579",
                "313601197635422021929479121168606928665",
                "259809349192196456283631349804502131798",
                "75935107542556577638703815406443656950",
                "325619850161543056000606528905761133560",
                "280102080507264203604003673537894366105",
                "4581906811709312640359622996502953212",
                "84563341113818238270455653505885634787",
                "141056500961327214698423744133536566504",
                "147893307640696006791733180009925518155",
                "146850232268621100833684734135369564989",
                "270640159834640736108434862645323506924",
                "295716387693662399856500907440876055711",
                "249859514279363449220374924230176654185",
                "205094660431860073294686798148611173780",
                "171114303165419921834802616557708004839",
                "323333236518481639648445823630619744006",
                "36302861544459986017367798112580899148",
                "91790616327920270747780787934199755516",
                "74695770448630362230267904480461130684",
                "23165529678600177253064894651364481150",
                "25828023573310153333648685153588598299",
                "29629227567317407776742820610649957",
                "139040657107879655087473314055082437775",
                "233737393743610793673837647337580277246",
                "174267332426376950562024117978137762215",
                "233182864120529306735839375662918673057",
                "214186190849307337415489553882973907865",
                "42862237009500328712243118595715691297",
                "43644710399517923698483566998409449062",
                "192969919763002900553379059662534827392",
                "325488319451562676194085704626086814269",
                "76555474735736720950286479462009973928",
                "90087335228931414274440664932615995100",
                "78395319421614853095899980378680260956",
                "242854732182008891245158609548869755098",
                "104341050236911981635091767439383737363",
                "15309487646518683416609525251485300219",
                "317873051810742781696317516217959925729",
                "257199832829262607832823851894828489025",
                "229494393496058096458487610160967164397",
                "281046048970948356593117589455215908163",
                "250330522808753391042863138729807471045",
                "173504865065210242458919021948962677848",
                "40357930180007471939389834868813356749",
                "215110085407708547142694238036713173869",
                "17818188892280719973789256620871604089",
                "6347852085768165325117092169734266297",
                "167219920968037556435631169616335661241",
                "251442944138641077415464398191105241834",
                "268652652527882975106914678093283065229",
                "317045724127688750894802414039482193168",
                "26236388151572176632956295321432387722",
                "265542180609430062134346135499529751274",
                "302087744977601854302409888112466516613",
                "270325880668118823427796855070062523727",
                "64663846734353121633270959746921470905",
                "164901980406838235103799895485834167205",
                "166095180717044891763825918647657307067",
                "155012043888885889208458099082165756320",
                "212780791593581266970615225593953599351",
                "120259122881791773712314042412566938081",
                "336586905360209062628531009315104053944",
                "149845064370681388873953274192095120045",
                "64161365566248945660086587601902148326",
                "81492752554618189867558640640736509031",
                "44662032934679168969786779994336134455",
                "67887551209418195799854530979961846862",
                "336847793387016417988193736403750260557",
                "82219324807852129633331303963237208418",
                "52666898525489032292186331908902601360",
                "276726402735460017417643986949855803902",
                "101403638673383243745243124973667342367",
                "104414717483509363443683755254271775009",
                "217738034164935221836891288584195997196",
                "169684638814599967318973915673302081530",
                "315937101679622737084703799795537828973",
                "129945404145124908873959267949068454636",
                "193024559153214839634429273695787271449",
                "141514758892879168128037760010324120211",
                "265818532019273903707483175478147501431",
                "98997784678865986425109420769635812059",
                "180782893841716051880585917800388123194",
                "138228522646841834430283457986406684066",
                "265287346627317166529391601397507401448",
                "225026159296708605165669332782236926944",
                "248123618048338426549030341768533471778",
                "239890243263571641713966669633176858351",
                "179455012529924325837328187451291565525",
                "93568242408033091020374457896633508533",
                "151156351645030413262767744248420759679",
                "313137399982838727380920720000482084494",
                "78734314603172681349998985999762423579",
                "182811184440010787987716346270407680400",
                "269838843519270362827468634115125868662",
                "26464287718677092661515367915632523622",
                "254223824779007288510531001044234447632",
                "131617017209765742071436727775136353024",
                "270943534351725372565208355990723196751",
                "269419866446340531675999112261662753952",
                "319606992661195789144212825568581547639",
                "57185339799333630627375817671334957668",
                "297237216302651531318751596193911688111",
                "26624610538037907173147260857281355976",
                "296854326171556632184715688704196032660",
                "3703563366000088684048966991928571157",
                "89043397154173555461994937411444953056",
                "177894067260348873741497726616710727827",
                "250712090299847505114489461790692094071",
                "215935668634833502437411338763873638299",
                "236904400820597111242032838528049232536",
                "16660977322380856265494589763956195200",
                "3609909385577389116098807368951854387",
                "114989183837603392617399266939225998772",
                "112686511776822082407677890186131970026",
                "144549164687528874576687854173582412568",
                "63548561945181390457445644947347105102",
                "190546616855692308763048007276310150499",
                "109231974327508035793174188091532121058",
                "311486269188099768027560442259653635872",
                "24293094246245071139684960562996078491",
                "59014057067909182310417910944300904941",
                "231394157422245387860783814772632194830",
                "139636232424830249570221297737287840846",
                "10883135106019253312041167963284496972",
                "469573254917962950052419875911957041",
                "138947707530095788665115495446735482720",
                "101612058598725061836112514233999431282",
                "158073403254174393999790364230491503519",
                "301848384398093586495485588339070963511",
                "168154122841244251086476014654194110982",
                "179715208526378475904600607549184193228",
                "311715029516584140261549116348747345383",
                "54858731300506344814801340299225182577",
                "229637448350654160762361871739670663962",
                "44525138953931300772050111467677353455",
                "102105475371242628760863062024893350074",
                "53909566089761586713619936129875049105",
                "77415997859642307524115455786548695963",
                "40518912903936467046876438391439488830",
                "155580067959061199330150038507208611697",
                "138561257003194550725919947096070936684",
                "155449124332893271708504903817622478652",
                "55220251215798362034196892282642797914",
                "140123514250662304306327553638130130851",
                "159341298037926473468579304092820245671",
                "127012354230492582863547954014946393848",
                "103984840132974341250483316598706686257",
                "90117149065536907913360981312012545655",
                "95903434241523149556546667980215741489",
                "261095976725628938832207140343156568902",
                "314803060428440794428944512677802779592",
                "249519691807915826925931909460493244821",
                "317002301130834352051706005410711969524",
                "208774028821284391488442604244635531169",
                "220303542601925058029156994137637075140",
                "180155692681755600824612593280627054617",
                "135393946677144165606596283035081249621",
                "319037741541770296932398113218601517095",
                "318334345598450024472761643666386478001",
                "176257390139233673480957845889613345664",
                "252983043447549987497026280803722616642",
                "119217518592202426948530984081860551227",
                "234256005751321902439449193077300194799",
                "278873201116760253901026377539858170800",
                "222496116328609073006781516634963171907",
                "115283151325229418797502734825325284665",
                "145804949552463544134324072493174607826",
                "10628504155488509567181399915098537084",
                "195935614414332350684725525917993614152",
                "326986072938872409751810680390430700926",
                "310565710304342869606381666473538362324",
                "234329117972520492750197591705344516080",
                "70924523967923346751914034058653003666",
                "133974921897318503500874383780737706596",
                "249546038517156760223393327140876506779",
                "69775243280868395622331257987829088054",
                "101898376273568198647602760771185835295",
                "259983171615868650504900959826503237314",
                "174336641293764795453625440175572229039",
                "124130046956786904937353260347963524544",
                "198004507672927141849793612220507318781",
                "14792026415089603837667471738508991526",
                "279653212535326155262046779957856004795",
                "277500861294363243725624599199560555962",
                "165579878003861445387680909811447059757",
                "253357895929560606586792674391148118316",
                "191914201623951910568291278376943497134",
                "101385339117615216506791866780421589357",
                "5568155840776001252251894730949289699",
                "77394071021785995191002134719000532189",
                "216312585597022060235785124148718064349",
                "41385548556851412526400128507370782426",
                "52635181918603228188251536632318294041",
                "91030941038647189885475775812305856914",
                "230449397827084998869799643520569260322",
                "32430307546676731521309545574928184635",
                "106605591584010667169100042042676346081",
                "75996267396716534779171387199637427528",
                "323191953240760212107790306222602994715",
                "280776872256024893279121947640173423486",
                "43743973173376268611922634954728580279",
                "111690784541464799364401784406408313269",
                "228827516595356731604422608596755052539",
                "302551834825190019379064837764473868263",
                "55571453510311027275443685608029830851",
                "225534249666168903360043164224442019849",
                "6218497451981612200376214478247231012",
                "107343899527597675364134473503954154612",
                "81421407033806999910652718652377969414",
                "134783440812869052908547464316743396007",
                "285078515961433993839043323689877020601",
                "113157984928662633241298256869677630093",
                "330579438144651620978093101001782745599",
                "218504600130360249502180024868665600515",
                "114720308324225068526723171217433099663",
                "51967269589472528916051014424437764362",
                "159372045118269345818753316791009775276",
                "227404217012706116897977221859984776883",
                "156608207559554136055422631024769307062",
                "302652876549791131290428923844337071959",
                "282608521904598588440859704434054126479",
                "288821339027378212434327128481689882604",
                "261054491236781809905277718886588336253",
                "121780278759945555010367397717984740251",
                "34777461951257105424096892364043814992",
                "190964986717717620068193019509243322193",
                "201729741858999664756130954376415227752",
                "169190995308008358536825274432482448883",
                "211153254023136676337604417207470281744",
                "38187457078388809141077628333545724987",
                "204638353363800097673676728534179168723",
                "91759418620461738341748783797482532346",
                "246182201573414822212104784872491531443",
                "271879817677459773186858016142039401148",
                "195355870426152284404052979743660063925",
                "105668870928685493760554675144127748642",
                "207348979762602432442859741111950262068",
                "104224042678894914057816047012438678671",
                "176654755111915516778792160070940167464",
                "189711907970000461221564398782136343043",
                "166255658309920809401096175057225922044",
                "202012406154026915262625316126732375964",
                "168963479855458544903617184756637115898",
                "37325214241142991385464803510350987677",
                "175354904941454140600708600752381806657",
                "312257699320403132015480774309597985668",
                "27869083411742200257763014540304794327",
                "159406779785146959029289610705588493467",
                "105813167218336210242937865812185104313",
                "336339218627232366852756224535874589915",
                "171001384362015785179829760330253528392",
                "218064364058271588111486201953391295223",
                "162610385850690306408707046759776900829",
                "267770408173813550508733132326233639772",
                "111572670688977618479872605855070454135",
                "74676296484420050429406130236668447161",
                "156277745724693707957821974184845552076",
                "299685515525583499082750018778023889647",
                "5377915228785536453873879738139324704",
                "153264552623232216035129982459845367744",
                "55730944398761823939167795635469764132",
                "47867994274798922644204739411772211029",
                "59580275286558713431580281966576065005",
                "316236667487193272975343669545922394209",
                "329679012631102198075012711951366758476",
                "320472471530340671159961450845180803282",
                "18462705590006367242560292983134936181",
                "104570747779710699735718848781942650615",
                "137725288715117433640356299524130947196",
                "247176171050742580132587495854351367830",
                "289088948054041468373678798848325325171",
                "217646612854294265683153514000159875591",
                "175849753310553781819330493004307414060",
                "277254771861060671741689417089057589474",
                "94471223711361174505163024409626982633",
                "231766085406033631120817028747068523231",
                "296635574793936437078212812680006173911",
                "18872022588638549925664762348617635195",
                "45607875203394556701750937019404182624",
                "277106807860207776063918171241646437874",
                "57923287354876861350836769805259294608",
                "219764875514969100437822096850177548248",
                "314862087112273428486246477898366596994",
                "64732032744167459015071680326825702144",
                "87545845659749178428660556706078327905",
                "25767344293378961553960068305683446623",
                "243213736649126012835951147583957923534",
                "174915927812182408017967685599675428438",
                "4280548282331007349973429627200870949",
                "138728592366432839244804468998769696485",
                "230293611235841645280211740828940502173",
                "257010241802494644025202404019369789407",
                "37826063291467029355752950576212091420",
                "246969851042374437447377135860035016",
                "61401284686928906480538428730714960141",
                "249947393222854718892145993477762048583",
                "62928839703987519160642128958295162222",
                "48456133152936346531784787581143730983",
                "124687004778735419165374301850999171659",
                "299190335950319519356601329674720453803",
                "110140561058992907545957214879994898302",
                "40983754035625055450319159520152746915",
                "300761548924634380836172969362710371179",
                "4962865038217831389380288598077521670",
                "250094540932295243049617379087616566479",
                "96422606702583108827267296328473341928",
                "333839386637467811554035820055472950285",
                "81021149044225627707961324078128852400",
                "154077067620220126796594558098625769487",
                "60768807097677937925994075679101862104",
                "167081153808400546178261810373197289771",
                "183390265848374534420558173809590222882",
                "180978126516718422332591200844543076418",
                "139930717600170475429632013998096574877",
                "40278088164258940580218740792849360691",
                "338178952478940224683987904847411924322",
                "281391328710024138197388749826588272193",
                "158071315381611809306161422498688669012",
                "184583510360576731074445627580365102347",
                "29690765267989532087833515088076936191",
                "125797604608693347362266841996797071088",
                "99844693240272494578600667934138327630",
                "327027356450815134161943821497752912591",
                "32425367549572152788432577227516099610",
                "237082391804122240384914996227656207328",
                "171314606120473171472343733308402442321",
                "126465977215097081047418086139303364348",
                "297355281482817318726707032883419906391",
                "73456953838576602001567848168367398745",
                "96284791420208523011931400027711903823",
                "233269727465972179335913920735365979490",
                "66445388595342091627711943302106146551",
                "300382378015784215226782221605130228414",
                "292205774602911140311080926338875140024",
                "98411376749104162806512015915934056718",
                "236403772496436475723185564788767842763",
                "305105934926882391488074130280813499479",
                "123467895579958707114517220069920427216",
                "308302814234730309395847172564782372631",
                "87042269835595690933610259447559311779",
                "34760113157516264193287443318214117073",
                "218782357672312929262174326846089925391",
                "263420484532118237842114214005588431451",
                "72229680439251064117199961918510346755",
                "65727984323414700808377521405181248821",
                "108689761295017952078599956806323779422",
                "91963220930256572179492124418284096731",
                "265267786241739917511374418064237705443",
                "252704004818397201334238875801339191469",
                "8393632926079079784909438186757510840",
                "331127271764183713623315032777652782929",
                "120420475435407658551849021082712654100",
                "228007362199196099811923040355330328864",
                "263184992901707897886663470723834574089",
                "93963057127617850214366990548204321722",
                "100712790828204669569842636868015996301",
                "276754533452749421875783123798145178194",
                "118562298785099427505196202308170792880",
                "204201949204723468890038005468529660196",
                "195855937758291931817681095070564292950",
                "289890393647212297499866048186954080742",
                "321020302964156338069330340300463452807",
                "212892519087657603152175212884380153370",
                "111205054265463363360692559641760993501",
                "113381176526143360213036889447524841066",
                "190167187909166039414165867408377972808",
                "270739530085861810203661692371605876119",
                "116014263038778129995044304659528160629",
                "214285482125501837639705030726174982585",
                "264055275405076355118689243399549375987",
                "65656580677019434145327295171515921016",
                "296269038065586588021023301897048123023",
                "75822848085797728109075758525514875268",
                "284978469617097156558910120810576171837",
                "128149357204039555839090925646250410149",
                "326523372913598804614246113304014920528",
                "43380000159997218375886004450040208348",
                "260015346016610964730478919796415841855",
                "326732192412669385439738617041055946094",
                "128404144192344672722041458314126691542",
                "205156628560956319843253589946851480000",
                "15438808685941501640514105238256974217",
                "323879977246297941931528279917367363783",
                "292535246937304867231830862513523456169",
                "319855091964004902693067348482375627717",
                "111745285711189083846247303449889396220",
                "32953415299040035604796911030442179048",
                "14457240566332652060276542553721183330",
                "257299897227477237931333951771083046564",
                "299591164036070485712003300096969511502",
                "337869489653647579013014103971506877466",
                "215861860096631968993286620965560953007",
                "261500974340333166307546164604180479881",
                "106794521313407894897966989661767565215",
                "112106647824888504210609182586374158654",
                "40091260928223579475076679015479318647",
                "21594071944166132633555309835250786128",
                "82653579690851677194983308920268810093",
                "315870498041731979578958247643732291835",
                "175567524409226706007855662685520153053",
                "333181885721948751848937912777850069103",
                "18679553867350343579555565341213650549",
                "83386844600143739847114688159977702851",
                "199507392557751481643335129347882949826",
                "315480321426244716739420964125947422101",
                "326495092247766747571918493667074501849",
                "50463177324371026650641106879462137414",
                "102518349848120356622674747136165902499",
                "80240384893530867112305402362406519544",
                "264916471282274873643945785645011619475",
                "135063542309021330678167706403448663892",
                "229845444198043666824378118540912985530",
                "120595376960582392951111285682084440233",
                "129525997782944296687259338626830888819",
                "111612397676512535318746161909779691240",
                "69985437186137207136330102663474276778",
                "177541072809386627538710139069954739749",
                "231184933984669442316284014065647125882",
                "111021290882930332808918885744235089874",
                "316290584290845931268942908279596251805",
                "287972162095167522253659276752478057796",
                "100439644385422770448058396957163200584",
                "43601025899049106870622148896218253598",
                "93383940517796686413327391212031246403",
                "282403904198117335820379769786652231032",
                "269203366125761487110102503232829112152",
                "73114914093009688659760956228537045535",
                "6487176200468777699759508081946198295",
                "65985082030012972508794239321876067862",
                "149901929199614958642620615643775294364",
                "333014927394462372871939701757915632839",
                "246024555859091323171245553324072506219",
                "322333031855099078568901601398524742789",
                "14355826797858527136133970131090115686",
                "230308847783096660511090598225845680689",
                "309904819613747050570175909853924329433",
                "116249801744090879150459259144958056037",
                "111450930044721142042880012533724109203",
                "326697832285249714931685778184907365648",
                "12969698913227146326703219367477427319",
                "219008344991429584560402711103683980379",
                "320542313555576647705879600511898830869",
                "175635354387528468156204087740695185366",
                "103744931792361494679731592575139710822",
                "169773363871396787973946393181679615539",
                "245584819414771742345132956474977887657",
                "32299277363220815400217672878696189854",
                "250043599477992338492439602942613214854",
                "45231477524406262097888758628977931877",
                "257648137587679311312985350453811732987",
                "296096081039539248919627598132959950780",
                "121876724600344827235431550983457459803",
                "118548320686460577882762230463139869461",
                "171860808229018538390631743688255655400",
                "22160000583379399577257334319898485149",
                "221081095939340285193303811828677186696",
                "210323350053934346432634989346143195433",
                "231316719539443788791879030970700698898",
                "216999262317633535148257317952488817148",
                "241486705648226445330490724625269251330",
                "143986689409472917986173725489963762660",
                "132136946012186783142856996754297415883",
                "236070623521225272391454768647994121988",
                "252343260044178922907847671081026784054",
                "286833727257589004315457496893726381262",
                "175935507488315322117379711576388561556",
                "52501941658327544833973873706798629045",
                "141191741046456282856820310159467065402",
                "65730061505949278838393700333054843263",
                "169546632115733560774648451117062987696",
                "172128540932240177166151913984768845363",
                "169490838815404180014288386571105568520",
                "177819610252059306899896163231392343225",
                "279596202406173969784480441311454185228",
                "203908746022196730112270000646638944716",
                "283651807616404672383576648360473662356",
                "35753442935078534205881661556132079615",
                "169480512269761223679667522674763035962",
                "276425902394905353889438070501696646009",
                "202427106990598212905273221730182514584",
                "167794485665976192567398825159941619225",
                "37854967542964378639687135988964373854",
                "43256704973071082193947112726351676712",
                "193353183745833497331778598984825641555",
                "279476579668629044306134681451729401401",
                "250757302487176650030541422547449069400",
                "8944508128351506340457249801739591491",
                "54975761250311565964543873815531598023",
                "228263351287129962901466163529747028217",
                "57271493595467717501382984403809984841",
                "272814468400175081526758077411749056771",
                "323057779424183560426505210831218700289",
                "296221718025335553917924897057350004088",
                "8560037685345006623583015324002698257",
                "7639671950108949229964369687564166648",
                "292264325989896389468205565268443334934",
                "338418081832393675373374869171001180594",
                "247591526958863996709187567857227332200",
                "32361697519601831749456581291579475049",
                "28572135300514395895655092484659313713",
                "279999345882645386060970066848942504654",
                "284443016700014579795109227326892719971",
                "31749759246867396218809160040190633593",
                "106756794719661853738034979388931599403",
                "209522849338415275336920611231552675160",
                "17538397911730844145400151266628435597",
                "45972669295169584636592565071173732813",
                "52191764688921200082911651494601565814",
                "148296248498685057402462199438119002798",
                "230892906081843424799198205170521851094",
                "334458969294708588337704189949920414489",
                "128334496501736722362286773388903501560",
                "170210018014962540099615027869141499332",
                "56454837626820759293316896174053465017",
                "78382153255021045888874123897779134745",
                "291903735859371785011706879978446894990",
                "213601807551828998959077176201276798745",
                "272014075389609030561737116157566991910",
                "313044715609839495564695674273675135732",
                "272532308138310206033044801811656129116",
                "147688465472253413613275516012323733681",
                "2688086399685704240760566839043810542",
                "138434203918123488886421319231671116605",
                "119595342402395371468372480975468017838",
                "173127773386830900965780394766683632079",
                "117186053992517542574511139496450878933",
                "6201723619343507077584656069611318776",
                "185072852071173866721173757903803461931",
                "241842228798879414839203700675095195880",
                "215534568111706335385283142417623166031",
                "7870293080985454893455653879188850205",
                "273688895786450697112528928380422173835",
                "241916943983832003725452369954413507801",
                "136461578100830997750023635190408126003",
                "115299357190893100456790887199246991265",
                "216862280791964371053765112473386580667",
                "107867880842271698354664194719565957423",
                "327381198244685558451097998804137079037",
                "67854347834878602431608101512814444516",
                "35088745062230180329806862666849649866",
                "21699921685622181931046851416491640461",
                "50853132287122744518465879938676011707",
                "114965606826401682544428638682643336377",
                "39922198877780376925962420399074510101",
                "74936131571666564492993790404314211091",
                "70569909359801407094441927839759702541",
                "133650211389033863559387648124183844741",
                "83117072312852983318052997188798518635",
                "293255533373491512295129276314231368961",
                "138689793542754830918684471718382676264",
                "140054585413011911718736529287713541457",
                "218195803593976155395096664357405142853",
                "55483312174153597951422574346344717822",
                "222493466540363896439587307542011602928",
                "197716188176093368263027365790630174337",
                "236940856829130594779453802895363761148",
                "53043155213481307167320613098316053699",
                "176613993677328685644665015575549658307",
                "305583615700930267670611958574904269621",
                "113257625859178825444275968016499704509",
                "324321079278101904234209389132596477166",
                "187981576551765486039269402788539837594",
                "259820887236136697385060440685481467210",
                "17362800072823229053312696027979656825",
                "223925843033328444567913306954997453578",
                "305214085340458176989495554390046054463",
                "220445466335136325797100151710759368693",
                "221971796753059382161586919109970020705",
                "170594727044747067237081537137391175159",
                "179442916761522512828732711646655363485",
                "208519697000178781333411138990657690128",
                "40288595621869588756424923524203563963",
                "333311394430331020948404678061241253184",
                "110985707703009632317923844549646688367",
                "27480435254747227039650286532531113546",
                "313155482427546609328703109085180609699",
                "318835383079425786919729135545226155227",
                "25703329735112835556366879906616084076",
                "136830502522184308117945415848001769298",
                "235833309062572346899123187759900415445",
                "228070231383412911396024026163304044292",
                "45307278520413740581206488949414099451",
                "129818158269959645237982904474671710496",
                "42751798243117087870106049231927753555",
                "118528879154788637743195972564193975052",
                "177246676577206574168520192503921015074",
                "65066793791899668898838161349268380556",
                "277701106814908319840848014139590342897",
                "156208972296857501041503190495281747280",
                "121003490791944337402745080930762356066",
                "233682835778581562262640157631348383203",
                "225028733038304507026091454200331905071",
                "10994304142104922952018180750285664068",
                "104610439281993264773050096750563199951",
                "106529625266274455377764085569752701040",
                "94919386398570752952619719865992683596",
                "22516317705581496118901322850494745324",
                "336382612347229537698214608187993260532",
                "30160513603526395927075796553454632109",
                "232309577222874622596403993285382809028",
                "19568774612465162735454827184317091688",
                "242982631322782362586514746278238961220",
                "149150024788415457649017049619170593312",
                "271354415821395025035845483849346944444",
                "57957960260634038264856080426876013877",
                "222723690317536524828767429814673751948",
                "256259179432174922794893080927402942462",
                "204276087004059118334283365371870301768",
                "106317076398460073421127544490016264548",
                "310636895216351439892407285965528318212",
                "174115542311117159676252437975812844048",
                "169398172760163987281586730145460579174",
                "93321329201516428641887060925198404860",
                "68004986717455872944891781302940806904",
                "207216560923315878994377073282536499017",
                "142722772060837359479243574235450564715",
                "114293164423372796788460658948991796754",
                "203790965669847372890681089420362010444",
                "155619210662290912844838670556957086707",
                "133548647917031738127602984285639572412",
                "132017632178578376580011834672356146380",
                "174342756070556122472729727004258236929",
                "234650875440631261034094294142994768212",
                "181912405231644653616424330323691778736",
                "335005216531007988916507876877900327385",
                "245066907329183222183670115313439188139",
                "225599351993020801842604128084369477766",
                "111539444682350835303254456678603909019",
                "288250095914311224278665045820117444565",
                "137099179843175892611222556716835302258",
                "129886177024734407194583766150596389007",
                "176859043507840135494665280456085524781",
                "102106437827238731987246740977966661489",
                "229850015452458444029962486893970372660",
                "23109426864632005683850698850004969033",
                "313519212795526523886907475682170283914",
                "145957120835086959972155475714601617391",
                "94743084130986954226938600720714742970",
                "182289159513997022834624691179745093270",
                "22453069917862016518940733043732287599",
                "22425447865796647352900236424774133807",
                "261169982540156109214301349422174331955",
                "154212501336565814779663346717853549018",
                "60759729192470596201553055815817132438",
                "39882527252631119016587126947968919498",
                "221199024251936819234954804218768000616",
                "109056152471780564561705725423272535273",
                "271698764398289534650285718075883026699",
                "46610468788986417912983641758280155680",
                "91544607858522230935176466528068565039",
                "157776459799981904627391376282787087353",
                "53796189195598833631639260740169898521",
                "254247020820906923176258560844122715394",
                "68900892670186393291671639332990939887",
                "177138543033318880102868511933483869637",
                "98605666454534442260123769194851958028",
                "277325475738388408065285756877221075263",
                "160068427965483143171747669705006519894",
                "81583210798410025505054329414202755522",
                "273541909279622786201365111798167379883",
                "179885184345300237054153888689548350576",
                "192780218485762271654795257825213087908",
                "22410488372173081893349685963969811809",
                "156848808141843292180409319484043880927",
                "201015186177683229139140703069355858150",
                "126401650308331801094094681382468748401",
                "35656079820368010288429900429651222998",
                "268638774010002942229264528556924851446",
                "281210641568125108667710350232523927850",
                "219054274322814474157547734085136219849",
                "136714740605632072373197169266751445398",
                "123390963256404609186383143014174496780",
                "243083873966513592072697985176518028168",
                "182755948036162246327764937684492491357",
                "210153315859392889510133626201639388068",
                "112368922533878132235189657105193902841",
                "195587237697401178068005395077914590377",
                "234699883942651210629743099372715773908",
                "103512804456839087869847803835777179661",
                "215123832970327843208533029352390567789",
                "74232614269658855660400260641577909959",
                "236605414094308055106553465126464345606",
                "49967217782650552193446452110396722344",
                "264962050402789647137595649526591674485",
                "172241879412489974184276358487177331806",
                "204024817634851818276311664648964996279",
                "219361180461631897428396646064860191914",
                "175925867499497278718552738966392018506",
                "137348819793656473426542411698509308231",
                "167152684323644167162527184054690325055",
                "262028707499820165196398340482264285541",
                "288101482075831020100734875433219416016",
                "65638819760579334079661709272720194759",
                "222679177473240486917814412136441760611",
                "35073742135263654650782771815407255854",
                "186629514849780524333674969978674034428",
                "33034609058982101931923811497863261581",
                "338520704951813914972680601064491511090",
                "90450908122066179554713862484785041928",
                "47221401246517527755943501666698179475",
                "66487586796959105317103567521675582796",
                "137500981299428106012906909674835903878",
                "111366750905985868847692270380231976902",
                "230198648703586285199911084770412484431",
                "336362971837156381445947930967856873448",
                "255770297034221492741243269853823941072",
                "76376075151962852576121112978969990598",
                "222679660357360218454392535795913375714",
                "988715259382455659586933408897977557",
                "247468587058672700155492559723004776015",
                "239614587654903613378479226308294188737",
                "209136821808845478693403284193308658246",
                "220652167114952191988482868693782567755",
                "60890240046477835936124551986283539926",
                "136041840286723587075158438512211542826",
                "196505242650657967082083208998323207677",
                "234578490323706588299794949176648023867",
                "176344261623101578565984717203933064152",
                "115161693808469878138833450263031847148",
                "122530495713270182858566798424191386329",
                "260490856856627470261025848207152800202",
                "291195279196554223291100768137890283161",
                "41352821094385577448229512070912044698",
                "332372039476342589391459177565579298316",
                "21624467872637435192244390388520914014",
                "64631302393833036069233617950765361866",
                "144703978629094698927131859473169453326",
                "42012848120891608199357874508177997279",
                "272767931117302023631345778004064837776",
                "12933007484143548590098966895525347883",
                "314280648383492791411756127293684367355",
                "209239900997965295533285911528145801088",
                "284207747499624115248026023574396939740",
                "225205406846545829525067654176751406736",
                "270383517113622875839542048589817711187",
                "241853250234742244494489091213932703969",
                "162370481411700821457373760739381600347",
                "91575662149529219544704948934582778021",
                "339730263662865268615203223481044943765",
                "49662709263908743213246853868607794806",
                "260656615737978354630848183956013075622",
                "30151808132192862884143497207755978639",
                "250887505833483368027377337579929204217",
                "4634588403761517739714440195989367155",
                "123914101025331998269503926269874979783",
                "231396102716566409524934981567486204882",
                "273574182409511593741274858315888165090",
                "14367555376104111091185392793371418488",
                "216919787331510736482515896229340134958",
                "262496659391365282674705028836056831794",
                "31281340077588515906722822325108472446",
                "251932605868488901955557586331790153867",
                "144621846642440051884565538307365314750",
                "216747916790769254006710622296363349518",
                "178097542649388440314254834661177216153",
                "326142031676132875885706606595015899820",
                "217738358948461138960948155607818000783",
                "187472226693564743100373379626477474152",
                "76671233113695040637184718236557845558",
                "136397397769912242634821265143845048454",
                "144284034335994773053938790815754302063",
                "75843077078547544296968677407235142092",
                "265689151054418714620656979686221319030",
                "289309041625713705137308597451746584308",
                "30961597148012887591189467084593571519",
                "162223583460660185767912656337627857923",
                "49237901767769137760720566069784987119",
                "217060156496793849687183879296069728936",
                "249537761877097910443108830861558290786",
                "301755439502178235584598842363683935468",
                "136442405461113228041821569763320241206",
                "279997198970737004004105220767450972841",
                "199485589152968972972380791983024777155",
                "100405630797093994713403038568168241912",
                "30324341418327523801467746353978883696",
                "315526645322871976709179851527401177672",
                "220937211541358190074481672510070634121",
                "275901997121229303765616576114065838482",
                "90106321606243008105862074051918245181",
                "71451202729852565414191532321865109358",
                "99270446959100317569860612266153545627",
                "327361258333569519031834443292003952399",
                "280482905263766832473177419455290374697",
                "210711583327665838081809078072315410954",
                "14184898441907572113321728486510799457",
                "53094767069898301805229758971149349259",
                "18914474305991362494932351922046431332",
                "277625411778464669581894221746995136059",
                "7295158685822749028148490133872387917",
                "310155790528954380660511835963151638748",
                "214728511347617959724731662228223499204",
                "7623409132839193098599444895235333377",
                "290772999010021078306218173933859838716",
                "260155550945083075202521232584682786698",
                "130746811326336703922518094622411317006",
                "155807325848970028817279977457059310662",
                "114320180408913397764691072853532037069",
                "310234410734309897041423801418429957299",
                "327799816490237172568543417751721083115",
                "136428397300387813565154597420233809696",
                "112325329432378105938961406115760045082",
                "29593120282114198480414485238370240813",
                "189115058798227407245686804203920615270",
                "255922437574581018821103815753109010917",
                "13890070478059647701242788889827991033",
                "146642287131073952910985271530837008500",
                "165419376727055503882631694230958394908",
                "306318799239283253498734451833465812736",
                "242856064645721711834683809264014455161",
                "97795160106685253425467893944148510982",
                "113753211234927358779536645134184820793",
                "37113603738000627178778730419777626180",
                "284560265733408097621555825665536749613",
                "131609250486970439165857208421302328339",
                "286830145948102317054165504866810269038",
                "190295959197258591936607027096086881575",
                "102149394332218195896677242951548446983",
                "52975419894435243627511451497612451499",
                "156085403034559219903212697811567689214",
                "538534230129074694414486437432604109",
                "202149488471081831204317675639088582155",
                "60791093070476098296945706603092913703",
                "225283375133846397032893353730907577807",
                "70421929498067334788556246877470060900",
                "109867255746854519177896559125662698342",
                "180794253482255754418863384186178160928",
                "61971886743578423115754449177264320386",
                "180371175943353857517464811544443774992",
                "336899200291287127141550966530122575844",
                "75123210581161484835369207912402632125",
                "268193774317463208934158875670751534254",
                "16515577759950408263979787120373839296",
                "4922046447461732538509511537079410938",
                "286238401277131177811680907166971860358",
                "40619168702041995845280906963767690462",
                "288437384818366419569549197390724624990",
                "52911821367001250434659028515696158155",
                "12937420013185897808594810654283168283",
                "6512233332381758664938115195881900802",
                "6861346890261330228770851081882275705",
                "166221523843409784426150423733970974253",
                "22743916222874987546964781704131276912",
                "97082957331167922876727694967243479064",
                "226783707673294574113849250804093810782",
                "289123496676241304912649875037526835066",
                "70795996676589675384520761195930139752",
                "302709091531893728209645936170495364391",
                "96831794645324481142429615088826402981",
                "229868502328535761648453524416582957295",
                "332770838666572230744848116199165062512",
                "214443369312901778852265724557121998494",
                "71903868703483225993661609191094657860",
                "144609094547692684204926515032246943133",
                "37078848489432082467212435847537437863",
                "274998093242498851678812963509510252786",
                "24181318734225465050762397731510733984",
                "127431048797221783206577902007263187621",
                "201101816453819734451167627003669559655",
                "31047830775908462256390410132871132644",
                "80632526446106034834417164071424911717",
                "320599269743049819185937515483027175174",
                "334753940516716272380065492758532202346",
                "41336787246392692537840543099282305697",
                "128880803623004854350188043056466223100",
                "125994969947727678437297179433670315004",
                "283149458554871594988176417964835646167",
                "145654207068555318128357589011120806016",
                "8889210147166635499895855541688996352",
                "331708100331874385173390934085004587087",
                "242297908628537276732778124782301036183",
                "320560036501152850964250751077746468429",
                "64730941226142731025029987971924538709",
                "236345987315660857285599608447797107241",
                "151715344367915517000499899153090126982",
                "252918975135966180493052635184628252184",
                "209839977421715338434346660364809764431",
                "208292187507379026997981538028840128617",
                "150797816130210187680038397644307769970",
                "268171979481788138288532913644779192720",
                "160003728413179616830525503437648636908",
                "266343662331650851471415395256805171898",
                "209854134626721961613882762947274568646",
                "153814498934134372574082695356708931462",
                "81332718085987507139250245929512177270",
                "44500294683269669356871089666753707224",
                "94944139387594551947498963858815682468",
                "317558339754265513372963750394090222334",
                "44945084299375871673337244705994898807",
                "268493662040505827954943912191627569915",
                "148295485571959135663699852724193173754",
                "191260819051992137755289619629539281385",
                "259046959701080291251926984296146223924",
                "287449938501950740521312660606478486729",
                "161011404548902258313193676924213764980",
                "143757875584767266216925411620002504447",
                "163358977751772291497227920997558729751",
                "23848092644321877155546327088866964378",
                "159494851053926398843292961813379245147",
                "48809946636884491106283514008616740456",
                "78233034345072580873955588401790574249",
                "69516377362229100288931490747001349187",
                "243321085597637118953570118764124188919",
                "300729086435503864061836900312032087686",
                "181079654392473266686380667771324661679",
                "114339433617524172629199504435633310634",
                "12758079935179235105234729548963961566",
                "123842903400420821999318696199769012240",
                "156354627291183673831563441039650647246",
                "18108966139192878532967504090198747082",
                "35375042737676654350769950445044554924",
                "117065480818442922346167660617751014023",
                "46595782981591852036894102817449396842",
                "100892281780891050225131605775042270619",
                "133736777625346072608772902045134928249",
                "165138126674622456692026054269789460478",
                "111434285813187166641253701786287792599",
                "310209631889068780672656773178309747484",
                "123060514576117276265219100346388214829",
                "313387857522752921362792103119226978532",
                "224383927016039789475902591195183746161",
                "5760114019183059148703371632579741085",
                "51440301494564484319728410994875038671",
                "262216243799299744710258386286086983177",
                "4367096155014872416028549728215311817",
                "39336709801117589998387683637225505401",
                "24943645853736223640560146690279768027",
                "123164264354115050796192978952177550687",
                "259119824264535041529660484155829594606",
                "29085108559570200331389396178060262879",
                "49679718895516267052245960904581665971",
                "335705435102052386554377154910592365806",
                "173723684762225890292197316375933399863",
                "10627872490013826562942283320452288430",
                "297061554838127908357251782196763855404",
                "156849717511270496693133347383378245555",
                "322638538048075627330916599871708689407",
                "116375438694349839490894054345008738203",
                "72122850991047753068634397376006747032",
                "297162508469313857760801368102977751104",
                "219251636770462308422368256760769949512",
                "42837242626870481162794916229148575884",
                "212829394615458709706914935561033382921",
                "96363943793716079428007517034870728405",
                "320932294297105095696093120460391976488",
                "325061378089087943565763885016011757053",
                "284829764941984856172459844207542728534",
                "128844609287210011602725699224766380213",
                "159534106658254154179768889713916361747",
                "271179726511704641091052189689748452036",
                "34798741355838576587488522803779654561",
                "17687677765562855555810657540140299486",
                "292124514087667366937207191743766284360",
                "167378309381203154952572300121212641177",
                "70412305445604928198479458120051868325",
                "248624500099520720041389558379908196801",
                "59950404188868761379298536205665634938",
                "14493549620989821142113467153482251346",
                "220622164637471187145597133441376175386",
                "141658299960942437042858135678463027724",
                "178760966924102378025529558600049608013",
                "331622261976307910183027192998738451471",
                "175416277741451974881021425137277045993",
                "131431037515624352334633130945416737564",
                "294629785593099485097943523310140707614",
                "248016308511890316954189530443327688270",
                "294412784200172322279671696782249844794",
                "335635812083692936430568445922125281677",
                "98576968210810788895854620509013260569",
                "288881161834490582000319329503889896291",
                "123064473707109097544091190690893248810",
                "59090069372874376730104660947977481307",
                "224853304938748011155515185463097139295",
                "155074502320975302695501325276169456131",
                "181933079792055351046133360311677676579",
                "50466386849973682436429573462981549599",
                "174229960351148047555216847734531353299",
                "308782992262859567738292527286300831309",
                "151532064410812563739697749352940329671",
                "81660159231048906742531396732163861091",
                "38558935368802993381545846399111307779",
                "209809177003333854529434089800843342115",
                "9739147355004543615766434289808987416",
                "81757657788290922317516541948864693026",
                "63372901521242253789885671771642495298",
                "40473347835086270089243192619013320560",
                "311384779627508432986975429039869571183",
                "175929459399330734487954218741635399123",
                "55753731432702544962875493531207713171",
                "278190505068081419976856319951924044138",
                "193751911312493411360547582163874375849",
                "221150203297837258222972735009901784589",
                "267938188868690146708429990834686956458",
                "283397347437206261131196393345376071082",
                "212458711983309128546068493133448271662",
                "177231876095918402508526415796135398070",
                "254001294391904323031160090083199351335",
                "339541161951659044270731218421045642382",
                "168252306470529369373910988895371095478",
                "63883195751756822992064545977689629905",
                "42448250581844627057831610387234074830",
                "157985194850607286405055537872858250679",
                "199641446859946780839838858688990646334",
                "289007173746969962584425838127155736290",
                "252163114126581667245556837259671398603",
                "173970199473975443710922771408251126451",
                "268378413631984438585103249809906438519",
                "69862177105053679448303044975273970036",
                "15527624666176252560349414457744500539",
                "172680004233976066075961288331450125430",
                "285056711538728639251000915663760471897",
                "54439130089657576582613068337533441601",
                "234234515029358776360532465440019728629",
                "141051748677469234802020814003016752939",
                "76902375707686803701101767429494366344",
                "267752853183561100214790450639113245874",
                "81043529280098719843593854312694310471",
                "153944679734891914800617822253188606816",
                "155350218070210062870784304290220168165",
                "773595329114628538712735283827061",
                "52721817281736477646759215606712885620",
                "156681313652552879543115758620668178221",
                "149934527413678828091795099762427407746",
                "269573049743195148538205755514724441058",
                "183897654548690421983212254541439744069",
                "195276842037295680636143746683072025932",
                "128792612840134421871274295968566200733",
                "273742292263126203244110272550078507253",
                "312372326126273507019316601127485111168",
                "37060498038737048473954551805506317406",
                "191435300064386596410280764948141502800",
                "252278781696595786449531358440441836922",
                "280041903098858990582734087124758768364",
                "156010282102510573371231708573739892496",
                "24396716091078214886809429327633762407",
                "213159163497176967420947263934320309656",
                "73451058890292081190958262173656347422",
                "49892033734530808161512634711811778741",
                "81167863162964969455585267612701460499",
                "35348706317317188849078156267204396914",
                "33405346461876206166712955352110905775",
                "321231114814744112389340614782308665822",
                "133189477638949279482468362700593942509",
                "253744474325406729844705793552485119880",
                "99814981597900463215291260818334852700",
                "199674141652427517682067165960276640720",
                "116206168940789917706662016482831298050",
                "228541226048360755844344337675662978850",
                "243374709085456677042672851595416440498",
                "302658734252453674390960748553489770361",
                "34148364751410892502783704756928724531",
                "115023309817322295294739764488734588666",
                "255500919923563231698450520328729343001",
                "314090375340477816338932586990923995133",
                "23426530840470611626420449609879071845",
                "318509082470738538754580019607363556618",
                "290434096497978570133208098585982203601",
                "326559180109218940902414926558049520308",
                "76761832745096758273569859585778031474",
                "290384469794517331493366697412203249494",
                "273197794538681027251298955061710072810",
                "11581262928310754396456300277389140716",
                "317889104011141828852889864151227687628",
                "124385711389094474187568360208099410844",
                "138668311489791290683651510959414632141",
                "274916597880907647012027690137458928000",
                "143520771911230358397977219757075167073",
                "29389807654838993986734019120842962662",
                "273071982856431524843424657550658385417",
                "112090185385816200353308552285476468002",
                "320686693359662517385649885592062123169",
                "222837501963942722647829809694063574656",
                "272691592122884636678056975206090246242",
                "143752865385381681380344139972770648431",
                "266077184096854767405145632082725284811",
                "231037893503995785556844279841202765234",
                "182364096263855230691555152906510013036",
                "152432827729206004277204514104240757518",
                "329376971309247245417175885287093757964",
                "101844316644174601544732365868550732444",
                "317142181619593099432627646593344697154",
                "204246811530160585326056578778162524194",
                "20498946223722383624950770073450616255",
                "116522076196117574896775063534109462726",
                "119693313937728236663097238652298546077",
                "300315427488945978463125664338844819596",
                "219092493346103354226064985926009989181",
                "150861784255630707412626802714506025883",
                "276253876374894944503896968601676138921",
                "161431268034334872569710910400089719172",
                "317139271709458507145876388682502792598",
                "262678639513551891084750830392355929285",
                "109493346564869922930515177793973727953",
                "78580226152581258751538141120815160521",
                "112541084564957517381574822266687031380",
                "227598967389514094778769571981897864678",
                "255423145302718807148406708710608768055",
                "260139863198263300248534466649877618185",
                "141719960885794111452217060254329461824",
                "197642768912626732970111853757023509219",
                "133233326430381835096364479573685652918",
                "323740392728415124980942289234446671943",
                "270016176699969477907666596107873038158",
                "330815157845782467184360295167532150406",
                "294398825845334834024788809023860176487",
                "45960624787455663231129760905658355585",
                "163167465529985127572273894126048022822",
                "46016766613284970576641402764240170458",
                "223536414118412383207886614639669233781",
                "91086358836871411225913764003100280623",
                "143447710506435323912990258872460146925",
                "38376224993731776674712213409773878058",
                "212829168576600541700596677746865772999",
                "310190095340068769986000607100762312081",
                "245492960521197593271140556705178543827",
                "32744335036665979182645398545030389429",
                "93341884085103001813466938087201863541",
                "63049486050172208065021740208197494209",
                "57595346523452626069700083696975289647",
                "317337627137568096401640164276249970717",
                "17106681447288776377856699840224740201",
                "317728685228856090064624668571131101494",
                "14506919204139987964844429846709689400",
                "82111347492161192727350166880397992606",
                "247577874843944632128951156899138056459",
                "174143821939032725552479809195885741622",
                "274521075652804966831437422729381762761",
                "263406332289155239837967262206290225673",
                "5211580198611957962887205916828313585",
                "74683552379016440110359313992302452885",
                "225237669684731691233359753437791796264",
                "188951169667293160785413270245949237499",
                "222546420095232017616295868237357002343",
                "234255283895202228220998003417422452587",
                "40973380387851322361560684914967347157",
                "176424290192600135406062000441371923995",
                "196872166257037214211202543029447437781",
                "214672666209885229916175353009024785371",
                "101282563968168751250304236609782591606",
                "970736261258375133945227675846488986",
                "201641805142903985979986146089551235258",
                "152261517656912778937326493180161626938",
                "284758845483159897515911241641344456204",
                "177741166630324211625351973892977439714",
                "224408958838552600487275026817143523246",
                "5598860906677430289489897886953546709",
                "55059543860396579594659422900801528350",
                "122253381238267630544033265540716011245",
                "224413259698035087280909779233300847059",
                "90678534026404853415116201684962498877",
                "110573262894544638372143032005008493588",
                "185151335955161922740077087812924518826",
                "2595525922294161828353054150117330293",
                "26589877073759813263086839536013825908",
                "291810270598031968696758129606199161651",
                "184514781055537047647466517600971820331",
                "305178361198907063582345460781068267073",
                "271470043742172876152875007711783492608",
                "91260821237900081416378690072815311946",
                "239719476313184966028635653714361480157",
                "208859771320650039361533690011473904171",
                "212057877756231346635904240909319837947",
                "151202208752996854095990467479041766090",
                "257764409629960071509760235796641957524",
                "34250480532004962687510562880944792837",
                "239544077223659539989698268504155448779",
                "62257118092093945931348126128330082020",
                "151755902329809775960740384660725038402",
                "18340657997780852150976441989249722043",
                "236007928304540509365164246967495349690",
                "217426107275854415352219301902703128312",
                "247050016698716274589382365207571281838",
                "117745834262848925006326134205739344209",
                "58901772140751825671479120082348443280",
                "323199020306747454769808136137155958934",
                "171563582920391998694568665134717742014",
                "141709182271718019712257981038267043262",
                "131650033520699303299085893944616530944",
                "207927356821146570286024243013506059967",
                "282672128246463103332112584134577271912",
                "26303689457798088649511223621804410180",
                "130168246970689611537199097287332383067",
                "180238873497186484931266330442843471772",
                "210824818908960961342701087445471743817",
                "120358584689113689357975559262079732015",
                "41441571100848942612539809534481376670",
                "95667207473590794221133825756930867402",
                "120929968726388202425754572259822912944",
                "15879614950437320872073303358516929883",
                "23096876230788966306975598429134869774",
                "16476910032501627874788757615510898451",
                "86801064023429339585197358004482865330",
                "58989102932675430168736691707390302159",
                "230671472559174505271722365706714956132",
                "318157722410680597033931762395255937995",
                "338131188200524364612963645741218237073",
                "109566793833649957583754343088017465207",
                "32416729413803951487126322985350677714",
                "327301933803719637665109613995595831594",
                "93144036200834657818767199440629437013",
                "161140095024472350148142536339772866596",
                "22503512328411833850971508698541349638",
                "28710282197315597376917590684635891737",
                "202651241998542937143870694207298659000",
                "79672910438888619001284884945727406338",
                "169882580901878068460317332533820103690",
                "6542774928703100377288204688981472615",
                "37095330020244601960701735927396895127",
                "265025375900415402339620694358753718702",
                "323376979243443127516532954595397700188",
                "286770545685241788130319788123894038393",
                "115020819191179047116852171422804998269",
                "143420140337159146892318925963659456856",
                "12476404512432373966226178918745984882",
                "264277544930307367009347697696311178829",
                "114429091057072870544009669111155651704",
                "136194778678978955012387526116902544394",
                "274008276580045499584645544206988679827",
                "273759810569348479242423791191640939437",
                "113278811929792853744905355860522597640",
                "328996816573768254976306179961807464972",
                "218737793639796384243275159642208240814",
                "204111385572691708113787906969166912774",
                "120437405905069972903097866100246437246",
                "286606955358290301295670080737546310469",
                "58477311169523312125268706914147996815",
                "136567710905511499522188153208896768060",
                "163119954723466645791765523521302388851",
                "252588007226226400036555823625964183852",
                "144828861324292124094292126056179926001",
                "108132774253601681026180640469434307760",
                "332612101600533238313154034466546158398",
                "187673349410272819866388662692547410016",
                "22476432742228841499870658713824850661",
                "279802653580250568903860671589669463766",
                "290417365954447368619305102174114037581",
                "278307918228159611709256800781380260271",
                "134495258538486441111920450659145875208",
                "312042455856327181888970742836422433882",
                "167090492534467239022751636679016100476",
                "20989325230059966286315205265331633581",
                "233307723804705240664829409418096825595",
                "38466893201830089604888857301492961076",
                "2001681875644982221994058552826903504",
                "262187644383665092958114742659130877461",
                "304769553168718643925039542627113070416",
                "317021220005524417637448781250100334203",
                "282969002602624724820244781130991620526",
                "158664399440618772186472066784206922401",
                "276316442534226755793556295766452444414",
                "325808227553787892063460370942155211249",
                "321677139989278533300160537617599804840",
                "29005064200495758620956066609590519044",
                "126015330788796131281730010198565922347",
                "179349833536056741093507602230346391005",
                "50809663008834680888795849027549089489",
                "312713944647892907580182580630273524820",
                "34543927084090339440058866308633909375",
                "108949028240931430089283975931639609122",
                "126815507182225149646075263781638125615",
                "209085032888330997460927883649070006628",
                "301065791898715580388786894572585886677",
                "144536879053361012903321587222676195715",
                "35807328649094394381046953229479006322",
                "89149847171827265450202186486919643527",
                "157751027871242470160477508264915909873",
                "203485967155040341200041851421302104451",
                "58404274037678587905206977512102981564",
                "293956989288085480400665843987171089403",
                "234116298388838253789519773984100448259",
                "331468322390030948859485876154741245594",
                "302728565495890235253972876096872265567",
                "249955185054259597067148606937522930595",
                "237851741400227842515561308522306726594",
                "111762075660115597846037919714270086153",
                "201631429399790884080385134185415407606",
                "88094730232174578345082920340836748737",
                "306755472974168311554679031404653561379",
                "180181933187839801200128445606805005239",
                "292277730185708304929594320215641385484",
                "225612872071951501693436046230053171010",
                "28376964547424103303469930771623735250",
                "201169419914246795294041374715311734572",
                "125862260031619358893232872782181421787",
                "147097467332553271479426669373723068958",
                "282642691028162083777000967289353224775",
                "197159357514750630189784171416818850854",
                "216022198466383578833216190803121438260",
                "144346676444806068206616655304002136425",
                "92862097486184108710932402612543337505",
                "37997468934360002913453221753263927110",
                "43910637257502572270158384724936993889",
                "160259694449759235432163359552676880771",
                "115440973520299101210404431041327419786",
                "301942489193694900845430345405582577472",
                "315344329416303980413168987894707485323",
                "101373481372208034271610516163669148439",
                "258838221393663985021491595579086580446",
                "278041475000308774849095079761301866136",
                "200930625421918577902816983226031977493",
                "148681206648626457493889531263381805392",
                "340237531677424777532994107929609931022",
                "277060581878024662935815962196892479695",
                "113571334723596499598633463878375908580",
                "193200188247318192745625442535983296882",
                "197188947496036963750445799654713098680",
                "239599788471093398043259716242364961516",
                "282132002656771667001067388495681741622",
                "228141182577515893354434692034324031467",
                "121834139947072379814251189468769497143",
                "217588337944666443858562667216718856333",
                "313516110309928161285223215083648957167",
                "91015703387991102606861017852310438887",
                "26584496053199838968020084417312437226",
                "131481869470504725324226019919874771656",
                "195479136085691275574934193720330512897",
                "91345222659611715687687114943572070553",
                "200384874553973792871553266418533162641",
                "165485846756357216487266073238609749031",
                "86637711603974122729365156297606603331",
                "87699586331086941045400224581710540398",
                "157610621367841227609200912372328164204",
                "338330306147499639392867628198573215939",
                "119422625630905345711859314968014052704",
                "332535877719575352190873245593753927463",
                "301637737113191045019716278913659093488",
                "26707587847782148986197994911260759168",
                "216969382087081583089566523513724570200",
                "62607552866182233300005510065684821765",
                "326564285568597364268567168956941437002",
                "268682497635463070379433416033529460744",
                "259232031777620870283535453512038713882",
                "168786451082378970791099881685325972675",
                "167150057369213839272536425638470092620",
                "289346367745501614215739453691752914905",
                "251813005036530912932045227784479842801",
                "6577465656725241465290898075112380379",
                "242623298375779267176754902922465033698",
                "212466402435375842801705162559041011979",
                "301057084224678669931208981566869958377",
                "272555798394329595106197925191777940467",
                "312695110231067711829204347824942738912",
                "215594038640991132608172789962463451304",
                "82126847499543492503884312965334728442",
                "338173957968334295093935384506762669038",
                "86437427412511496358384553952092067776",
                "215854520780432663482523092644357712370",
                "142746458533474262622973265648067264429",
                "122844355487405607959387344957893972814",
                "155953067579419948883036606996015671529",
                "132163323085091658798918088851783918530",
                "48342944689203809125885229446617408497",
                "257030781546104733297300311548913379291",
                "121921888929096270630126831359693740843",
                "244553772520204315240893124730100346562",
                "301185124450028555338486360402277842530",
                "190723355051935557474028180064711648742",
                "15384180920179204390012597470583326823",
                "334138884853114274153763902966663180410",
                "124929644962057183932100666180333243578",
                "158495840165749100518894062224668300603",
                "75552263079943858144912591076427961397",
                "268958394248621561835404685261154431730",
                "192054584380846633726800666656297411499",
                "22512794482370436452596132782621116054",
                "35777584462398321917261921808988606256",
                "330094121736843556190057632643903063243",
                "270924466417292773608579786280855570472",
                "126625111446516664735893176827079351366",
                "307508450034164919407397313157484749134",
                "100920765852599292028444148335480277958",
                "328540160960773887559586059937921044531",
                "29004949799059352803660594758019571995",
                "55281779473105257970434835895723742029",
                "1280684240851975316904831169390512356",
                "75563671129298156752137205605428069432",
                "321771590252373953528424962121672743",
                "178554035919539481334457837353151430496",
                "159702957169355522348596708692205443747",
                "305294535192281970279968154814054356037",
                "259792670923496035119512398569685395851",
                "125871584312630499283522258012651627304",
                "27727035971185837325136149875888426459",
                "198250946514234642755766860828232816372",
                "66582467325288066291216058481515924687",
                "191308645601429389086099119513534017439",
                "294255051030966163177327831879880019880",
                "121766425871510750162015174828852807968",
                "301147764893114281187171753272215500419",
                "17842444801895692427752076099572886918",
                "55824999204022335252364593078005511967",
                "55898867791431748035773105110855365136",
                "255327867629186123932965791420485894204",
                "321862806929288600882563450915587456621",
                "287463299369852864248001797858537863778",
                "332784834643623512355699011784714733013",
                "187464467425407209545047240159986188854",
                "71405509684542952954222737869085075342",
                "137555319939918255148745047338073693912",
                "80073072698670744140814499449861038546",
                "169857754684880173649700996130798920464",
                "40337722652706183362997319101891991822",
                "264755851514201553787330515073724385060",
                "157182504378014715114784335860725089739",
                "153676102207990580584090432277225717056",
                "337345270452041431372855130076963943823",
                "11410390365596796531514680345733896169",
                "275198174613246647073404704247237096116",
                "333779018846733012093657173061416939903",
                "157955114391446135696633689237305064614",
                "327746294978830384397702094977293922745",
                "191171610346606771786667600617405599615",
                "177300373010675167731720453169786174940",
                "171505004836113060133905227596374774823",
                "232393045569551407507105091851380928241",
                "9391680442037650407363321254485658767",
                "41167174967059569022284066643774193218",
                "203013418504938255223985385338153792962",
                "157193776873639080983494710217194281069",
                "12952092064638726025009052533937443365",
                "256874439305544306155510330559429695824",
                "215865711054837534950644987388777695845",
                "1339473380347505618662665749678119617",
                "202378766942883370904792411466675680869",
                "37389297347643674800839700584789640950",
                "289429313345867584280504921454921366495",
                "307449764118140123896168161458739889472",
                "153722949423946850084383216037263281343",
                "165849474133488892586658677523178603927",
                "276722856292243252076807266307160736468",
                "33162522801887837593722892962402561761",
                "134609091801080678136381085367336484064",
                "323002958970581614214512405342023565705",
                "145647091901140427252655353199224399107",
                "263718606932613449442519982399036358218",
                "79137363406150465095126757840139894792",
                "114055336871712145628778701015564980752",
                "131474248708738616794097886717828309511",
                "226036380895822471239074431049508988478",
                "206337645162147726665185948431379269938",
                "48009606104536929815216595843222340941",
                "128848475209822312137285046192468869434",
                "100842156929072471923748267095292449606",
                "60810997819988074318654248013601134148",
                "291700791784621263432412421651692231224",
                "231255302675346823656574022574244865176",
                "35878764657099223586421649543314184629",
                "112365129408528826958769131173195628181",
                "273403834806976421846950898992731349021",
                "155364624660731969069278795238336733716",
                "262514550048052519057423069724370926067",
                "149058038547318787337186804986621827892",
                "27583559437804888696888407749103140143",
                "23561458361703407605722365436850565851",
                "257202303727130628652585171522671702672",
                "316809955471367270657050766394315384099",
                "227830175674780237996167023756772968592",
                "289199090209717034950750533230898285273",
                "33083387350772472544462783002343782775",
                "105849769089035858696418525375797358956",
                "73389905475120025931626588602664284067",
                "228313462468721447333606746843336566751",
                "163858398968399692778665802407588185278",
                "259362716895131996660830576301496399333",
                "15144475945421968981939959961129132923",
                "191657024829349996554540831282182577901",
                "136363879920172659575151021612815054046",
                "203721048454249967527998273915523029437",
                "246739764772246461610148737533364952741",
                "145760811556354028970680134142671214080",
                "227816683297060498773088042627633574577",
                "17017879862620800068861103074034390062",
                "115485432849813200635344172112285226652",
                "33085155545412091601282724704653513115",
                "156204808492941477713263712402582440609",
                "202568553829005564837669515484736778484",
                "14709940927859284239018007064624372986",
                "273471687119676862158632381427295508126",
                "128251926454834282224330060671081777320",
                "222751096830155671831922426445174534993",
                "187965714420650358060369636405751596966",
                "336816343447151893346182320664507763962",
                "325497457090765646033681616879040677708",
                "138064909020502375975562580454442081381",
                "258822851647524791046458568538226678023",
                "214438786061731375785058261966768013077",
                "319868471657932858408997202988495591685",
                "127130872200372106015894982888335170986",
                "219341802635340848491213266605121265230",
                "109592851822302817676736730434028067183",
                "261330317580771379207913491422227762426",
                "296259623285147930442617277075077391432",
                "176911923316477162049082068174018597629",
                "176602343751002810234913509841007796242",
                "78848775627635556591427986473083543219",
                "300556526277987975372194664235771023784",
                "52718138073221110856169163009573377427",
                "283340732179231404965598835751364020435",
                "63048743446599862464185571580784108631",
                "173799499434962252890856614822053024835",
                "302680274529282610373672407938594956581",
                "24878543792501494787052598224663356477",
                "182639055226539568963452374777603472822",
                "266607081481470568311134239387895297230",
                "314729940778702707773430729740052275169",
                "178161902964339075439359211078999325945",
                "279856383701610791108733870460240179886",
                "165607835997728936591236747325672806664",
                "183934024115118441189580849511964034225",
                "117218551999913953967507606574410149021",
                "277378958968613799914890314092514566351",
                "114925073760797487268804409453929016975",
                "332529732796848734989045835358122902659",
                "308215402742540988043552628811199233476",
                "770500196711446010824182872268942552",
                "164164063412541271535123162088288676170",
                "283657903486064902829287442195769310383",
                "293328193425605686060280649917858479552",
                "116545810923800840001968611939498418644",
                "322921864291341483041952997084181555149",
                "164673173224719508932086304977445221527",
                "304968183120980729216129966820419891895"
            ]
        },
        "id": "CVE-2025-52484-7fb152da",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "129971965077340858392857914272656896671",
            "length": 897.0
        },
        "id": "CVE-2025-52484-8002cc64",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "60990364251508169086950602493681793902",
            "length": 1759.0
        },
        "id": "CVE-2025-52484-820e1968",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlDone"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "166138166890773798411256262172811430116",
                "319897754927942999157719869986405965712",
                "85575302020884856196836989824590962572",
                "97646873749859839919012735803541460659",
                "316302640612675394256765506821368558388",
                "124186423587136977440631837207937950698",
                "121157062864495462339646628590870954319",
                "75744430357807654410690939743305039372",
                "124175597148875064955711726802528524788",
                "316205800423541663539524380259875864345",
                "155277045713715499604853751827984622668",
                "119767940063677635695565899274735278030",
                "162243775718740624328347287935332421016",
                "278464176823766501038689297993184054452",
                "39856221731166328729199678806615676702",
                "257642488130398775170201340589819037007",
                "217367461050928706693749758851993042969",
                "150905464551415348159382821641255419929",
                "161936051975180045523378632951755012684",
                "196016029316669539426351905738621865946",
                "185070219838431606193543365851583791479",
                "325124760864528544226486114764226232761",
                "187843714996987901954043278973451959008",
                "279924659833496583285737008843048549240",
                "219408062969627870621791078927073917553",
                "73478272258661838109986447463617888694",
                "298904348418246170059032332012591877226",
                "80538995200111715794390435271378933923",
                "80182871498549267222953560005817968520",
                "182498271225423488418704295396405191538",
                "273629713717856270520152404080385846556",
                "202369732154090478526336513487992299508",
                "117006839982040098110309065184974174300",
                "222204855592318204601030232498154324992",
                "231829415149859407752020888299156716032",
                "239784337790396123767289114592081149692",
                "36287031583031546531607431512254008790",
                "48017443620288987180318432264208097901",
                "187134819509464719859715512980823908261",
                "147310503825843525794376140578287186381",
                "225775706749616258451625892285743523123",
                "154044991941043284406410599167452876752",
                "44926984312107553367674900255493519228",
                "103148211698971911516523964635934516397",
                "208519276450441437244173798531726229467",
                "132041572833910180253671168331280203311",
                "88913471696679852176412302094589920390",
                "88310781379615032491201906249277091383",
                "35133613085348126925883608844237820763",
                "78730393307411527932735407187617092132",
                "52953572741371475102984780406514542158",
                "212655378893745475840909109544997361940",
                "107548035144236895541774615909778586810",
                "261686770873828346045257296544481821656",
                "200989090139500170240208184262888330245",
                "306768449606556841043228387493227952862",
                "253443994690315434464188309687202947854",
                "152359346922965117150161650489486450092",
                "77449966758167834664379158802872449381",
                "243682199602271536150755036954478239318",
                "183561744508912132522730660340324961024",
                "105059225238759280616833129283698994377",
                "119410594963912771230818788449179504041",
                "296282500630992026678464585796481942366",
                "119380646853637498143159670998638172614",
                "41296963333345670097333007647129493155",
                "112923433783930747767221150664980002836",
                "147342904265454281828157880198185216924",
                "137814262742155084794444748294392153998",
                "206272318906213134579321567269644898953",
                "70102389098819134608261413376123913187",
                "211050967256864432420888707638240320308",
                "54466435453276871232955056929003028657",
                "216670638618579104359336835416892490677",
                "273122394803866804365354343237583432317",
                "198856787679846031920887802055497910267",
                "209819322644296720120165582683145655735",
                "72528051488152446206625620808139689879",
                "171470261562493082364325783547680664513",
                "291790273975812486924594019463752165387",
                "146926575535244925603505081548915345321",
                "167424460280529270023429625850797968433",
                "87774466250173496026024867384231683428",
                "246433265366932803467849286110930779278",
                "220656215657756657758443776435905071674",
                "300907679229255472437705975855399804888",
                "24163531075564419697770335359783554505",
                "156181161136625213461483234938462279357",
                "226672966228169845623836826988076660830",
                "200357297291099356902215076565331453078",
                "298456067065316874460338127844907244415",
                "20633936406166182279232555545258815189",
                "339056362023353791950678940568630743168",
                "74051310929801760403366420060631801815",
                "210242394430735207929201682885259418836",
                "19809170237225551279917556330286517438",
                "335713503310756578976502807376038157259",
                "66067764323234481528323801311300216176",
                "2592524394849335994338501031944422095",
                "293846338550929642379522911272293987187",
                "158801861865517954740775595409967351574",
                "125983160073068218330152430516635538009",
                "333387772786502128430228772982148876123",
                "338747936318386938435047944621014067101",
                "270266774493390658518252663136678047269",
                "328418532412030915234841725898893668548",
                "286807350462525373223504187322555745886",
                "269750449714390755948920954971787715351",
                "29032164772392327329618928556416014426",
                "227563906686203171811023553344094563525",
                "324240078075172400015212465802477345191",
                "39323711818514732366107204242674583876",
                "124063318106330158092625184912614040213",
                "151260610808758173426134826896426882403",
                "264524367790597323365766901540315112231",
                "126291295822036885828674702749204579882",
                "173735558618269316310802767396707551149",
                "336011112451461455352787219219501806348",
                "57265502475655978744222910814113077503",
                "141670723760945319597666517918771758413",
                "235395578900129567490896435173520229320",
                "94287789667211345115596180386699845855",
                "72358265975929934534578271149044466248",
                "207613322227027869674268137745610787427",
                "269146576398563529262316639763497041310",
                "262515556654386150342756750956409279863",
                "55309002632690107717160278080962307206",
                "100224933820552870878726128757590030699",
                "177931242761956593220610987106848958014",
                "180168613061361318630360095614697211995",
                "306567891979066384104686675369322918284",
                "106041622695141358146322353267515216168",
                "331893648862358514061754605308257731604",
                "261897111722546670259643378604903351633",
                "247983779480551121031462112460549564238",
                "101223867765399388085957363223092262514",
                "165092056179564821216086795106559727268",
                "119849790392310399919033323424584319038",
                "141508601509157119974097942589082275227",
                "269551483708747660020164038679982184704",
                "1064722763261913701486635368493441804",
                "297142830498505255309359160639481714585",
                "329285049461655062258743242232369652864",
                "15285195608939063141238486366520818967",
                "216428327527442022863107181058860215523",
                "212862106816255131136482688749871909034",
                "44243952071380989943989687263882557013",
                "165351980920363012243383627555761340270",
                "104019087027301340478272842117206184113",
                "71658187922372195521400958095398027950",
                "215459908161773338328415832344769052851",
                "239312649656978233235044866897315677174",
                "107578927835370297715091642314624078659",
                "299753539043197440376701835932873195562",
                "306276816851920394019248999417258094952",
                "91604138774636169250451690475965214349",
                "44689438264749010685485784648709566089",
                "114968667239811021288998032623497076893",
                "254656248484745095638743263479106824759",
                "62773807709519414147897700368284175120",
                "130516152032484330168056835086944057277",
                "205974631522954161854380179731832682554",
                "217452935184466872615235065506790684171",
                "158715596846614841369740930540641010803",
                "19730255776554886647658528690180751889",
                "18956935268327494118963191645048985615",
                "69464168978410684210855245245548831384",
                "161383233509418828310319471890769051457",
                "295433025047015539996787218301214377699",
                "255154348835691118328474674839894256181",
                "37797163940207446092200800043165514424",
                "159589662362678784077527194020388852362",
                "178211809633026719854185312064377996589",
                "272035600719654034480414116595855823838",
                "179292024039187238273897521011193086634",
                "267580155306893146319801029739398958383",
                "339851610539654279002654341205543346798",
                "263905121227935452856242675542528946436",
                "183524192862118211244197616506277668885",
                "248249944996084552896376026977709595444",
                "8337999436023500787931324446683968904",
                "70508542751655826611119481298328479671",
                "274144245562302798497405602953914381822",
                "96962882478929065652165887267860585614",
                "41729120773332655531525718289018720303",
                "153346265259106760494765205138992937891",
                "121501692193182692514053202492956742415",
                "182146854699849738110341038326321602271",
                "40380365754809872385767800775028759817",
                "319050405672528855249910627785889815944",
                "6911083263916479102297149996249799199",
                "293753089364374170902062859657416289605",
                "166682956267522825493717990878435885543",
                "279989957136663770288858886022586466535",
                "102426309750857342962192268969590904993",
                "247629467416282900184958561992922974160",
                "101178159827895793375832883660248909670",
                "198419219152570709865398587119742688940",
                "129902730661195579511328037887269725129",
                "123354733007847816611713831808024780315",
                "31971784175467323088069066011900745947",
                "263763542189096903931590527671246772839",
                "83440818252514819722764251532194005629",
                "222540888037732313479348517943605998173",
                "306439977059928903908280074421372166945",
                "293633135725170996637059738953743469082",
                "94597542309623199933007885556372170430",
                "186376949264819392013420447258386159391",
                "199155249371547866372691194258622114508",
                "131711536715127118698362480731190964133",
                "51368475321686182165800969074197210920",
                "218791256220631681800336080089040681629",
                "93356919925269430448480854956669600612",
                "35844409333442795154405863857586747275",
                "267911838425054532285975834027955178315",
                "21871803639349227123780725745428171761",
                "35552218088964013368410810542367365628",
                "127348151292249620847258171864137089117",
                "105373078647899617905115877587706299202",
                "46530163869484776480598789565930203347",
                "60462251897147379717283442800275933653",
                "139108066952171713392256924083970986457",
                "210117237428501763274027588843389116311",
                "155929669040470919041212578348567689309",
                "241670920088140880879888341348760612835",
                "46877656169463402148172364881447651829",
                "292828557024017433244017977128058148665",
                "267504639522597631080563860264320896912",
                "190478406295067715770565419282546518911",
                "212310232101720618166726997842543214730",
                "214384487772046749749245102375388986063",
                "134991350693001591903531755774364726874",
                "61181681013988979322549547071902239561",
                "204298823322197092696760087930102220174",
                "334235261192843707421816908411596195114",
                "38834368394518989359598696621944295755",
                "15398752851848446441575748507515711190",
                "93503656841723698443915928396454136055",
                "273883850860351582615584760281231306067",
                "250942195973037171245980440446512538493",
                "124006578719741847164824614263948660156",
                "136998389162398160595886469172274594411",
                "280961903073562979569117869058763035171",
                "296095340886057268983716781211902573784",
                "188067094287198281532166730473212884160",
                "106121519501855585081383732198444028573",
                "313331500751679172955628125461561242497",
                "220856459030885483022477966114262736399",
                "1607778838957690005620721719858082139",
                "36145930431665269087757648657114920367",
                "266238408261566322326371635899645376708",
                "236589501224063228430023046558988376893",
                "93408375522680386160482584490776332373",
                "255863623837581791657263015066793465866",
                "323882904866642342229487073174848406199",
                "237194368099803429854024027323218871521",
                "123135325678282442482911177296067912986",
                "254832269275917131283200323352476274378",
                "39428883473612777680430727777195891477",
                "215393936335311055931401447949169026517",
                "236838576576718000798922995146396815698",
                "98562493878577464576566107081558069913",
                "81862482467577378511989775494222522500",
                "22667653222708895496813186814061597442",
                "131313301819810801826665371960098223544",
                "276185868610387789058673722503437521185",
                "338179292232402759204342799911542935115",
                "182182888002409587678583645325617424686",
                "248591870641214027038657134368436395423",
                "298258067587460083460614337106875021189",
                "13297790867616655537764819157849463600",
                "71624119013844128093480870860175198086",
                "16770100714671576006337251467274015730",
                "84809788062482096282005760740547959199",
                "162250595559018327284615855471498315573",
                "232113959115125383922560042366073677601",
                "221978458406745864192509675600844576007",
                "23864476792141230295404283662609873770",
                "28832474938954505901408115798165245546",
                "275756402897108241868945615449727826380",
                "297681229058499026195201580809507721940",
                "30459771182463526765741849564657305684",
                "337068703003639950341963951458155918111",
                "224979117616270129341217156550921777896",
                "58783067619281022872766543064003665423",
                "190939149501695832014697602976405387973",
                "191394597323499223662590447581530670327",
                "216923496358200864584692687459158381988",
                "239836127480901868440955318784670374788",
                "69946856569089589027281396976763012690",
                "209311688040091525124405200753421934870",
                "223728984349186887238519282367223932503",
                "63472517421607699957601158193262232837",
                "280909891347475257381478252699669383643",
                "220485269496605221972157170608329176089",
                "148218196653231412132958770852999605171",
                "136130671808140751814724563687949116293",
                "121859431440687791337827024030805622942",
                "119390021279833276902022129339583089560",
                "288791176346443909359395831963168650474",
                "331757497177639603803271835137695327943",
                "111061720213914641119177412580195889007",
                "71236125203162911915386772816830585167",
                "292031878279951811522237259892472808457",
                "71089762470232686277240532051134387323",
                "185986849885104145156176613815182928064",
                "156835165017996036598825040234019861279",
                "187101446812524300472540448395211857073",
                "278411787171387191515699873762846719776",
                "117493765846342594107209882945041550605",
                "269414860878489609862572223955987466347",
                "38297355432973633483948489121483039547",
                "202169150118856573242029374825981968322",
                "264003557009248060320947792449105135314",
                "263122516013178953173530175918047733938",
                "297030070787217211634834020371699777027",
                "309876237155749379061204386355083531639",
                "282557662217260062032096831504808026219",
                "29180762980707693195322535855056857405",
                "80406664947426335936561137437489882788",
                "253554505031108887885748109494125825395",
                "176643367712624008863146245296644153889",
                "327478274328604886244050915587347398091",
                "193537636120925597430198872513121851455",
                "92543227773423688771655634195958032368",
                "181679263992747941789736722493667662823",
                "182833744903251501728101344342058537062",
                "87165112185806393296010429153509021985",
                "198620419827492583251708289715814389198",
                "277495839567168049289059103024424533177",
                "319378587600791174431440412601543568862",
                "213417182756391333416737449144513614716",
                "127401986040037930675854698349909325595",
                "280144905676030633382234995921982965570",
                "173562794021619493117531292323074868655",
                "101712335182853913844691050531158632069",
                "287394692357802077457658821944608991875",
                "270163750651873466067448676083121326613",
                "232025514179363999908196456161457159838",
                "7369616082663809067320113988340474698",
                "98907118942152036275247661214056887642",
                "1228094768670301575671872451911601398",
                "32255042849607152076822981142388006206",
                "332518076813359120113592912374250187254",
                "293612477413001060571964422824206945584",
                "102431749127883879591522383043790133508",
                "332171577327345121238521058925806962403",
                "120910845627597011495704448023616048779",
                "201923318480078988615384600433612934885",
                "38271829331670207613906203587358570762",
                "289071829879071740531733617568020826900",
                "144991570876174967477669415038274585586",
                "300184503541178637235802996209858817219",
                "245628778206739067367186044538370969371",
                "246573347412157821985428899229997527605",
                "340199464343144767337114208133818731172",
                "66347512813871353636877764967804538561",
                "32891823778223704147022716382907606429",
                "11808196524890206417625012209913717940",
                "165385215804345517815306192797664162622",
                "180588474219271794207022072664047150242",
                "242248785714327812068148775038903634486",
                "265464728909494511837123098271812359954",
                "287310621668093510004559755458063844096",
                "283642372399109373639737896655498882666",
                "184200945647743844328673464217107705906",
                "249656261385457303358496966776345791645",
                "208466414151818883486348807164887033883",
                "155058893902202823664775360259552039947",
                "40554389537632467224305267796069808705",
                "163690402526501556244591050640488046514",
                "237599681378117846382801838507861648864",
                "164851759204912008560451274676731810927",
                "119122544879599604125651662230792855799",
                "69385164887640641029560388101745858354",
                "113846543772302340571736068107476563681",
                "10097817643838568190200594052103952282",
                "102264008212509635200879296009188100582",
                "122997728902017456386973300942080530986",
                "228994630400223273398501412350542845282",
                "151971684402807889246640137698073070799",
                "162144148392067081725395318490907793492",
                "56260191741230597989524309375253576553",
                "178057750320120812275587502244584903764",
                "102123190432919079182348766615370481315",
                "16288372259144679190185709013541994886",
                "309282106854404380072160688032593908776",
                "202619074015248081835130811406766445563",
                "123220387844183490862204506240120541706",
                "44979342057459502197423627868128019222",
                "98614691967661166309190193263091265117",
                "309655243801597821802252028896985257316",
                "194699345300022572835011190852063109407",
                "26486468807430270872823402692686631654",
                "95372395551829258475488306444339721650",
                "231569402386818042916799732864507726052",
                "91886203738316945180438850341364574690",
                "315541363073437103630371532761943647862",
                "123932636128845809072477586412470102083",
                "205016875079198628277075782135371639395",
                "337720660282564020816815756842389035248",
                "293198275780687428604711819205763474811",
                "147395938650320644691843439882271915326",
                "195629700409381988522409925709311016529",
                "75080235948547274056832140218879172722",
                "17593521001484259078475951846520291580",
                "1903953131940281383041340662691751298",
                "110823795405320575720751600563211522388",
                "245954842849833679318692626256290151970",
                "63340859853750227648921505045595556839",
                "71528355773263579695285230616127891332",
                "180338698451875669902825426389582074875",
                "118273023376868555691230449079141780302",
                "153940259352196850433410821117570401465",
                "272043008357862459033270367345850172179",
                "191584977747888673418228369892417452107",
                "216040010814736839972798965912695352548",
                "182388677952357866910995995313645524964",
                "173698755032334132108383861389181747313",
                "279777338959913087370501132093479663096",
                "292998552994394745993727364323776436624",
                "24320372105592858631789808723362020129",
                "7602377677698192914277822085031934281",
                "198827738804087035055955132578634436422",
                "297515817604218844473863188969341343657",
                "218328119055032454741212946858648803550",
                "118278584691906342489140879477007188887",
                "142019132089449909182592756379795530428",
                "109471010180754501541492936187223632481",
                "210402302719946059152268098086757058730",
                "13593530094254203448678487427130407899",
                "201762928189491965032706619904953666176",
                "204376864459622599190803059482879647713",
                "270449711740832323559047593937782014984",
                "174975663056968782831687793617451456539",
                "46738929767978613674528676392876372797",
                "202339369609277656898355114998794829633",
                "253795576417240043307513442025284163859",
                "333703792775151633383519667540741780912",
                "34639772616804667127638293891793128222",
                "299282306888906745816891124250680212267",
                "326076860084515705812700925681798140896",
                "188091627397132965484912492833293626174",
                "216061155849811548628961415846198189270",
                "18205993675356219396583483955976423423",
                "95763761879930533623127698865331200767",
                "161636060209877703310882883216107563109",
                "198064235094912104734773843396051004570",
                "327955640354889679268556085754590707804",
                "38831006240795332876875987234711097744",
                "208337739593380931043604949405725664493",
                "115027561572956959522213585091645984780",
                "38922951280386508202908387121170538834",
                "87158364426861510421221085704734366019",
                "21719581242665009026965041209123141842",
                "9617208034136271332407049198196765230",
                "116973454584902094266935650431684167898",
                "66742398505518968301296393005299180395",
                "72130633294722908329036698021374793675",
                "5048484600491298935406382627973203143",
                "148543557674436202829142841699892009009",
                "292752012103320689946560713833367468059",
                "114874918520292466292964999667845513808",
                "305279831124139764166531016887674662066",
                "161131082663752925739048139793257248897",
                "120388854311420634155755395054292841982",
                "96145104235964001600976999100868546650",
                "43791307574457299474342662645693224204",
                "235186117432078416681666874682466809162",
                "70346736935604439601435019830692039532",
                "292132725037301178047726617966144629014",
                "25893613550758310281842430403664435375",
                "114926736095881807293135037177352292865",
                "37875312017835750724282986584979487374",
                "33861487189974799208257037123861441119",
                "31306218086288696206999652092320151067",
                "159438719370222491259012165955895955656",
                "141274870662983215217018422828574729960",
                "161791551291440395267892443411366102990",
                "186161898038940324499627522832416101733",
                "255528637411204599424389030313245575556",
                "185363608887431603994154269839940960935",
                "182829735416770551570842457658585235425",
                "169969438758052315545660746246399101908",
                "223929227888597356718056248998463915372",
                "111592917750172830143814287575231049046",
                "321568688296484996613137064557752637998",
                "323098006970914241713263954547660527916",
                "32608199968685657680045757148774936113",
                "25461475843888304399344256359134693426",
                "105019862446786578670912828052914939439",
                "233981430303838756619554777110746225602",
                "214380588546746562176601232103091611649",
                "221825383022234962836253276766886193620",
                "224300011937671477599845852935705262396",
                "150770590255262482607166939288558783706",
                "324857177109233020095823930812801034104",
                "234981971882696003526316686813060380516",
                "309465642747755762332117821601437069363",
                "53940958040474558231847725056733254433",
                "84479403866503184536620828844548444204",
                "201156854516083620186843271912164948578",
                "44248643522540949633734362476152913535",
                "127181654883426321414647207068918662047",
                "64923639676004360105503224848642929183",
                "19420079817640884009587273232666948069",
                "69560551534902855159914703831683232835",
                "213559394322097046564848221557076372561",
                "149471421237958906676884966624098551339",
                "119383764325350381516330366465856983084",
                "114860502046224201779346626716429700082",
                "283162409500805844106438423527309320571",
                "231899631770826501023889298464848510282",
                "314847369034099634920829275653849398124",
                "87473607697427644491677978096445853535",
                "6409308860480461527145204036283011860",
                "215929295210745631455229464275263285122",
                "189044117818157222737937418545062230181",
                "87535941907590118429306518144224931809",
                "333101515517863946205878196264669664935",
                "195893606361889938928632948536543199468",
                "139524261598795056947615606663740353403",
                "313131171183138898062932850120834433132",
                "250476619726268275601581602436652051782",
                "76435214774500779135732160592389613268",
                "70494421825301496318643150072879394194",
                "201423588153707878706722958943621915889",
                "247182767698349774615243722303149093783",
                "159902586101936634281662916127725809699",
                "249282179286700953601248371686192297495",
                "280217765489826627824517972177691652259",
                "193617777252542610128068783234755873766",
                "53112672453097204648105966537012301676",
                "171415269958851727309564709003717284309",
                "260510449666644648592429940936336280015",
                "323866903653772088749638490911536494649",
                "215267759784064125197541511832607708901",
                "97394744150699522442152402119329634726",
                "326235111639512739928837976647901970947",
                "225132719958387442197004488218317194797",
                "125726700303102387963169985224354495457",
                "75151426131121450042696615004029801374",
                "238796338872942121589486868578005302440",
                "53146007919788716901881675257335104604",
                "224208647918484675995284665070088708258",
                "16604868457475353862131202190840692566",
                "158326899349954645539486448625522888416",
                "296886870381118707296026212034755120093",
                "238057880218666703758627999423852093255",
                "217313064524780134964411172294249345704",
                "107638652230527529416564677987376065869",
                "207316449778737372245065519008366067942",
                "314958859629692011283168293147681842704",
                "111807929639438311497010308122330417004",
                "56239625857773087770990962399538639302",
                "306863766300884601840972626175674075972",
                "131379745636879669191489152359923728210",
                "340232752677715866367079203539224470952",
                "245836019814067852539819671613783004999",
                "332455184508468977501390941152100195369",
                "252964612698429157030099449838872345500",
                "199394091603535421639535282555424324806",
                "249856684472105395129730454150786151631",
                "234773344509487704477549105579526972797",
                "18080983413927623878194082359816331934",
                "52955480782353621383484783828648836507",
                "189541770689570132242625605201251070297",
                "181946819123720271820912654468262044424",
                "186439390091477745950769040853284667988",
                "64118148377565596651063714910181200396",
                "61191718569217026080166753681842396244",
                "107362007701921299429469532316808837471",
                "187044642304054148441673243596190614886",
                "322199060009119756852881479172201865711",
                "103943793263607018552148282151014671467",
                "201971079412098351258498565495284071186",
                "90726153865029286255656541612472331172",
                "133110843413228648567658372149028158572",
                "178181018614879241749152670323389293807",
                "47129505091723180705812880169784914119",
                "291019880244224782396145424457910305260",
                "296264792868279630342521180901102274658",
                "140202394682024927126106179064151449661",
                "151998085368778156925030443230641450643",
                "211253950768244245778799631554416206411",
                "83424185718058116469780553856851966038",
                "273698285140636953521172586995019227328",
                "22697850685130441041970085655651794932",
                "319910424002837297031773626542107763535",
                "245414294683688785066606545793813466582",
                "237540976398089368176654281000304740362",
                "618000879496229520569303339622923192",
                "276721685599322445333509249071948851490",
                "84380108418767640539155952267704538279",
                "47977005546671820233564580599391709723",
                "118918109317809030168092406564099635376",
                "167510397259951714857968048759930576570",
                "140781902478534184887664697253151074667",
                "199821379749287550210557487714385662684",
                "195489651220826479591789754254449093165",
                "63914272697969014950529767093771714841",
                "41316593185529094241337079159742545867",
                "212354651888228228753960121453804033176",
                "327661747453251017652449497258006266243",
                "95526897354820398383686358848080681092",
                "207462017800286179651941236701087225293",
                "78482684726540068709363107973310991132",
                "161284275693817714952544270243794426055",
                "108668665295042310799281504143579479742",
                "329146390161602502556450664174857493347",
                "267079650893942936262404642600554487405",
                "115343864027740789100750747213156249734",
                "128581094230814223557897648411853027164",
                "335406205907194900773579633555199335024",
                "330380099728760800044497667000752701549",
                "335529613116275730259099490003224602171",
                "45280738531129962066494991552562421706",
                "253269570390851100179099671334886307547",
                "164280663472637222627387566514058460170",
                "9868236028071041425964358859490867659",
                "194319627230184635213467233399659722788",
                "285032697083098479597057314239884857364",
                "300221518137877624850992509332692496242",
                "106661857592721669810688453793881770782",
                "263851299663416001960888828412881881446",
                "323463027034895350391305752778594520689",
                "182196439516955217879233782917357652369",
                "336532857983986378022133010235716113280",
                "268331000158444370953590367186207100484",
                "90271759458395349072729176330129331254",
                "120874081371634685565182171898691309338",
                "264755080171265105449407135799001664720",
                "257543920879481160369041836796871004401",
                "308605078806208591806292388754351554492",
                "227723317418315066829959662074505190769",
                "18183235805457940263297107309019647836",
                "101473418188613625787323442604632106250",
                "146757246076014847775668003832473735710",
                "105336526057325530200490313748238132301",
                "111096486369838077030458442731252500387",
                "162087622150515623762456390153375946057",
                "100990786441634856762271380188829037548",
                "168978630059607072466874739206312043321",
                "192969834333860087761998592803188622029",
                "209048110861193275459555712493330724614",
                "211749679953868137323040616963225199778",
                "141602636615051886608158871520617024603",
                "27126670270198312897241930436726322014",
                "221435482782484312349256921702281146699",
                "148939996147830710182193645138015943759",
                "58883321567180960330578887530750563697",
                "334144917677908987569719490934005552470",
                "243411399519399324286298143571741263614",
                "292019133560665075613695680188235223270",
                "201663612161658606572964669956055649873",
                "334854205059024740766015263932286372550",
                "312611545167212465540580514158128070950",
                "325791060039697653873575737215902338432",
                "181374170435514026685313523849765484515",
                "12606046881224295195349007022262534717",
                "11571741849274351323745458647323033149",
                "187556172868342842049617429149670997463",
                "263123299301508574787308045539262167756",
                "181825957493527136472898067161948003356",
                "120664176639746390054998396923916321272",
                "298828188037343468173105198632598515041",
                "44421709867655147457281587581084020508",
                "185899112460011670164782764183214415683",
                "85271652950358028436359767761901717414",
                "102625111827274600100455920581222729971",
                "193960209061676955113718761320400130519",
                "324134954432618918548671822738292071027",
                "205342380741047785152577180476546219193",
                "44465544214026269341425456327966010592",
                "35552047139208840778526499163196202026",
                "247307339069881273558598335342682395388",
                "39610927569058120421727623602900351301",
                "304155061618103726564650368601665374853",
                "286234681323736709949628724826913516549",
                "162061310536131009569304024265611798036",
                "174458101783355259581290672439231135243",
                "317156659521136902117313759154245169279",
                "319897228776709388016344771807917943609",
                "306166798783741365794680199552913230300",
                "293611305557462678500774314896060718204",
                "200144573246948864780474951954595563706",
                "206576979676748674100822335185025979330",
                "39606273976646034071405796892433734634",
                "161940074397079523366337106188836793199",
                "36076672785385994467498530158426076239",
                "308719492346982142543799447883005647978",
                "91655026824009264605691027202648061872",
                "173102089746393764162685484957557065668",
                "100304388747796794162381344980097719867",
                "329926169023357873684241330809435467218",
                "258963060567362788385580690146603580253",
                "175834945474171207089182636628828831273",
                "256566338207901198355150000048488881056",
                "121615446012172173595408376015192087331",
                "128600621714824960518477369644243213887",
                "249198188210565540255009572983918034303",
                "299109474113317089580359642491321366886",
                "83911192367438894972415038993071236575",
                "295708799111032959919508666670923478477",
                "163152323227063923153363162723026547095",
                "261780378449049763167868634928039020253",
                "35572728143968733414733887934802602433",
                "30114370204923504181075715023602533181",
                "269353727578070920128815810225423226154",
                "192676735870386549806739209910713790106",
                "161638415711755678861623843991599994399",
                "164376664548707887541366485449473757966",
                "213608262939113928776172091624807127719",
                "150155816347775072080084920946159672702",
                "158663459140155810497700583364749345066",
                "196653517114112057496537167757372163571",
                "227559949480807260031899094244313798444",
                "212256360215959073653017699527420599815",
                "291797332696622646699198659297980096419",
                "63000419574109156855075544066967543348",
                "331162827442959446167504276536465560707",
                "112303002670591342557438754025158557943",
                "166593068251673813473557447892051679227",
                "23087672980772138477123372221684305575",
                "122822611806608176658500127465784211103",
                "224232403408285958993260901176645571435",
                "249709195814698477102733380186564463979",
                "209130701771233673376488332039022231252",
                "327824553165937665653229780012043300775",
                "205721506645453831917809586051023257968",
                "167178589756878558457429626897595439979",
                "7227193978858061039398075796645856217",
                "141467419105894461860442128313991458799",
                "30665439850460191790478412163399213703",
                "225073230048099720395490342724100920598",
                "213150375679158418387569998648046592930",
                "312994981485915862015469535350339674752",
                "225979560544287775408279619738302907655",
                "136592787584499067892406954954193192986",
                "107798313826506519708401495382144701120",
                "124100100456475291133301502500784967618",
                "221135808603290575992297277663840310573",
                "107960784788440871811601710995660348821",
                "23704069149695534680975340588113314719",
                "285021474266533723669994633847830318128",
                "71416091607665635120832684619364928948",
                "42483568338316157351176206768889240429",
                "280189277353209587896596627928299527757",
                "59136970904206156627302592618632651848",
                "135331500968573033470120729300081293142",
                "233312110948639861378293763563998644896",
                "79166195410305374798947192349274745822",
                "126752241471407902287027694880155654253",
                "40166657967235316335278332918312125924",
                "198931152624656252127255000478212288180",
                "133583538766101421697456354953804153303",
                "31775710476756020646450438156754951781",
                "197193550423022785608629377547670366893",
                "6198795867678087772130806262196032321",
                "54743855059189055360276105068941446093",
                "75378444578900836778322396962940485027",
                "133733491233983739779583206497597804108",
                "255314779714486584170175641068234105346",
                "155797416290113111246084759340141739717",
                "140072720155898912640429406475773114726",
                "197020567706691301080276326774454130051",
                "213384184191423440216799990335457400679",
                "88388313372845128087605901802647997405",
                "308391417966919278784082262522518419693",
                "318010444699403036262151690961269871540",
                "269748994325296256084423615547219705821",
                "230795667237458381190286141658857430355",
                "128138267698507132598385506546016980436",
                "202986181343739556040211088310319323994",
                "153161096175124011862236913290339739163",
                "269744286336180639286952038884698010313",
                "318306069979525941372773810418136143415",
                "106369751845067258095441596080826457959",
                "16626053503034586676828728421511675991",
                "308349716325143815513444871460438665639",
                "176979709375872678378560518148129223878",
                "25787446542825053100524775035344748430",
                "27790914024498264899735612526305077829",
                "128522305228474187724264955646023445589",
                "339418616788229748514828107942006842836",
                "214571984785954766960891896164192591222",
                "292759061193515044293191318336979878300",
                "272966104717860028615822274234175811220",
                "94694137698202452328180645178844046560",
                "113764265275977726329984310568952539524",
                "296514611090935547178618765258478749024",
                "148246663949700055381154502478145922856",
                "106241628321786898589617295975742319234",
                "52008671549371721345700101322563516269",
                "51735445501731254229518084458684750610",
                "336586295591111258640116006426929816445",
                "129448404021275559691348994874623834128",
                "268207321660478620832741104490508056337",
                "298754001677473197930311710785467928647",
                "324424684844828740180790055014341737045",
                "86024704357443271957215590128712786200",
                "61576289110534927071288520160799713365",
                "136654742517761173658535115528160726644",
                "150092550209260102616351644653307558205",
                "247361836128053543591115161576540095188",
                "339113143200884134001971759907268723477",
                "43593457653183197755365597884017260517",
                "49684315614381871537362079339467891998",
                "332651816975002945792176102905574141775",
                "159245460990291609183664101602949594018",
                "259326932213308435103650283803998224583",
                "183200685491219986441236551181018260003",
                "295281992018447746114470122940224968309",
                "124431225200685807775272139701730417",
                "336360434342885199509847107893254788007",
                "219888705273222092949019667423979085541",
                "206478812398651463937541933762283237746",
                "304595802809902045565843015680422449468",
                "185775620776765250355007606550221581843",
                "80504245351875970389265523156799430284",
                "237285601578761960154733044698052753313",
                "88837524442077399522722774260935100274",
                "79865047185131207222975436440485892430",
                "94636112409571343779485024669053172824",
                "166756649898037836657368967701335835709",
                "58141900370610934571958301899899576904",
                "200134148932704271748371480064753313321",
                "11805277534349389201174001682301766384",
                "124998090107007686300930352515109333815",
                "254723089732767299642743884163902110082",
                "186454972026291510394783676168300276155",
                "274414551232981588995885518510139940436",
                "110997764553458169063177190353066827340",
                "184317015375900023599809515830392402000",
                "122253669338980660690585045979602232488",
                "113999498707558633731980277991119366929",
                "209989809010402576833912873162021801821",
                "162972112618879438571168177587163298746",
                "256857745000400092472044208887447216695",
                "309623892652708534217183301652330990426",
                "232100307316085544001667917379390475871",
                "258105124745736352331956622316828042525",
                "145035813289681297725415012143040016996",
                "220945832774520012294629385180051374025",
                "48678927683478419146394364094552373982",
                "104602663420252875761280376813710878033",
                "141403313998144496413980322394132297728",
                "71300727662902918967380667843520000587",
                "225308780355470140145021602157424882189",
                "311806915888768318445073723533107281245",
                "88552238707571989252551133140322355456",
                "186074975425757975098052714349882091649",
                "1001648560018759247079940233997867141",
                "106679022520258484737507124000965089160",
                "150033276714960123141869130946842454725",
                "72083097846824920475030871092580501706",
                "302615046624658052032298775797447570459",
                "324376618885005958126338447241955887881",
                "91579488017077477892134228470523531417",
                "257274290206522542913298476399839411863",
                "326574569972322081041549220425410979198",
                "252224112752789221514456993776984369323",
                "249596183298201916594503474771139735141",
                "131344489031148738562247803803047529028",
                "70348575898753809731059565160777999301",
                "6224868672671098694331940294183967115",
                "280942683830506569331138165061857039156",
                "2150580994934494545804181222226969182",
                "264462137402649532695206603611619095034",
                "101903196979913943916143260523591606855",
                "87176310836032549501941349357518037397",
                "93202922546299340247549940369460597959",
                "303154401416928285247043299422121731294",
                "272539650548178467781681561402255342142",
                "84707320416476849786298079813157143707",
                "296718496039877094945631195111822547659",
                "217569694322587636638568963551384025994",
                "184299857680047039786140455317340491897",
                "121519031869540140700911066542338163259",
                "292149611052723881029369092687914665070",
                "69488154280062192643417729509426232727",
                "288196505630000210984022778285350710018",
                "276544046499570012350549529539328557422",
                "311812194078113632841977008350515840701",
                "80433506436709166198316840846519158128",
                "229639547663679892878799939108365067009",
                "168206926932683100137302627257365170717",
                "99627761857991955256319197848144326240",
                "335723092698203073617591252873685964393",
                "112461811713979909032126123899843617659",
                "263546216856617076610260758647141489481",
                "31377970066355286530490227323395293595",
                "35509685293055511159104828958174103644",
                "13034338626494692237634600176060282204",
                "268152207812997398346547748844549840371",
                "25861618749588703062207159239378716379",
                "249634557159008724021627536638848481756",
                "59986164136847920676716131718357784875",
                "99015219513445717145395373372861304743",
                "49825606724807088148283081395651588228",
                "312204438595617286568551388795052785844",
                "309903468860654631269524024902130795561",
                "278699255398285084852124543425533569355",
                "170114765761760825759635286285247476325",
                "160046881586483601198313225435335673233",
                "88623608063939717956923836304082578996",
                "211269686642947166232193499521188449789",
                "147616689582422532156709728044993046304",
                "75969981700821610246645785823195507721",
                "86449722061049150930473720810288050747",
                "209333854098624929944436407285684535965",
                "249661723495662286929942833907713579219",
                "174885908077089882213976946324577977385",
                "65431258415440388807654641479880748755",
                "261770248017013204907350897562931779431",
                "147793888007865379781735565275643745576",
                "63243580848870564435287546252271956837",
                "196132507446849887178359001437600239386",
                "186437542572050187821010586011587238337",
                "31724946603392732538268110171964416695",
                "23459728377478035715850898174410950309",
                "68976398793432723869685114414247516549",
                "254673911248910225851822276625271025277",
                "113722497474946687693337428939757630261",
                "132026568995082619833274010182111398066",
                "271922175894496199047932752413921642816",
                "239149417378266181957840609866248481181",
                "131513064296073913494610963880743446741",
                "199893064201253386648681681903485736365",
                "142577321224301939794617581040103348014",
                "251656532566988586705045045021978299150",
                "77234426470721670015497176463205981117",
                "72737199361750880381424516773893848768",
                "253166364175482694496903653315188953779",
                "166124757512955293222806388866333788031",
                "327410135059987403519936659474356458039",
                "247860530316939381252138676270154849490",
                "324720051480233468230138078959109416079",
                "15178209123816449638124116342372044288",
                "159258195045183615686797162370594987104",
                "201398424553345733950273107826930275047",
                "52013089250562394877904503455458256497",
                "16226269614598673634396142497115528937",
                "149352450927978597010811938478510230981",
                "107278023765583530488423414919737425433",
                "25925369344556025373604165565432438415",
                "168581795927572670362678792851582805630",
                "145903888997751422010069892951958094925",
                "76206064523682881407535270728250547649",
                "129692215467289819923712129223297623828",
                "190231264954381713662847195470799659510",
                "291314333944252795459979615986701247721",
                "238066052407359233555765730284741285291",
                "98312718235485305262535292231512912657",
                "51564825263574648230577989322144262921",
                "133366068306722001605775165131023602331",
                "4896955217045986863333479875713876499",
                "13191756638290997298556832242023727027",
                "182784178919894986231886813427963093149",
                "209044858208166825000097183285671875210",
                "211714482405463739262094697829388590710",
                "336264445452613353460022952833853266781",
                "229572562684415234000629128870192420006",
                "37807344729138839552229962385412411839",
                "251075345517633592296554366766733759881",
                "269468418807175104011587645514992220150",
                "291871844781993076630780878313721903787",
                "220591734548677430099595794460240006660",
                "32924721960257742064546353536471383820",
                "118853584257402024551407393769322725450",
                "306822589585564085008202009457299605095",
                "97530685394060594016389315640038856694",
                "197635257260195556633150317080206626711",
                "98739103970358318634818471886015668163",
                "3338829421072623887360337362412161995",
                "220896197457477218916663555919349758499",
                "174305195633308899932077780380427081105",
                "282458411373754134428304653657678572861",
                "20991843268216738110998408731934899125",
                "299793178577867313850075197408335565008",
                "138980252549617390302048350520329871774",
                "27795604669321556845953054061193246495",
                "119527346291323798916493274561941315512",
                "5979554511352899381298845709512919825",
                "213935503995250047344050287475406139071",
                "7223625252466903781644405626944135471",
                "19273639067346700430534851512611412984",
                "73162195495733634567135592904231154636",
                "308380794863476457154879915536792852190",
                "142257176424988315198995300668139192099",
                "121133470692503334664223386885632130204",
                "182700411244203308232729175635140623894",
                "88995416649839018046895942686317420985",
                "168344012111258666179193548161842661567",
                "8859788279721338607567513872987609253",
                "143229101884686648554138212816783003166",
                "125308464060272366385010954879808376718",
                "1601566592479619532758756994227110811",
                "213078977910336148243322858311521985195",
                "307277808143872072245752486363498506366",
                "69638106984537273365326073329392927973",
                "104112619458534725231296021089318016198",
                "144561892073552437352975006102388103678",
                "311557611853189971546805711545584238405",
                "298863898040975295738917600454899931510",
                "165349265284378864071987168221531050396",
                "313618468483136642218445131479179001778",
                "230798204647799545968341963154139190336",
                "273737733880223849234672523453940999591",
                "124421596669092127882772917818246529312",
                "84225562065387076714980574360991535694",
                "12384603522718271215769458044667899455",
                "262300213847441281540085813056529926155",
                "330255653476821172444808107896287613127",
                "253018922609776118071189175741962926625",
                "63438584899031410713137409542852036800",
                "326050650651919678482253188125786335987",
                "244266575944232633281983819489992072337",
                "286392200834977676396538018481668055782",
                "189915002829079438345701454569969119024",
                "326922241560139518706668422452591217465",
                "259675578216463098573879503111397220650",
                "330593956077201978873321199485936849023",
                "159720416159718743695029015346890693190",
                "306536754789711298243400930250625540204",
                "245751036420323629172163001510647505352",
                "81829304536760060213592418807764350604",
                "218545062588853224601884923648512393850",
                "153244679688865463927679163185137031993",
                "211925024507908910964240841528291625895",
                "55013788936532379760932178754032214442",
                "237480856582873464359181337313980463515",
                "269050893671903619997109102105946890393",
                "143439922598970608100651133591767880945",
                "2556681166766317034044404628169570398",
                "268830591501148551147752691638631747277",
                "115513232900735660471866730398238406614",
                "57041315708665763864713475671992666492",
                "286563404249946436321924893889366389401",
                "230281984634013108596206480690760024446",
                "67533126481343270467928965326051987235",
                "15863170746816409016887043101505167258",
                "154665378119775251541403878348244852739",
                "86679190289830785437658735212472550767",
                "319278568684416532031140288113118899001",
                "320961937805339260612772487227066255093",
                "49978031359910205047723698938787411784",
                "95674167023561490792447895512218377961",
                "75878098795016710899858381835783389118",
                "112962084032423461170920254830511582564",
                "198960793270347962796293265400751382351",
                "64006976143970379534115038807734809685",
                "37797839512418262135397696752938759384",
                "273256444332943995614197216151187643383",
                "74998086196057844056761388871145141235",
                "121429118095602361470234590391902859498",
                "210350934007063416518981398772000632515",
                "83252063900023510325989887789118559125",
                "256886746782918210003066749816798069047",
                "223061599429948389582065260852949646483",
                "221321951905676313780632548645241060988",
                "77163383306417071323781908893549612024",
                "105894409998303804562115385921574454261",
                "45845829079484852657104069734689036888",
                "241611282651030357449953525937103948472",
                "165192032919870076448018472311511460272",
                "155515506099068354430492537634713253734",
                "11665999559093855438181430050078423445",
                "11121208074906757137232747559420416616",
                "300726381880697244452343934729687839468",
                "111045786761082555683055818588294878694",
                "190107362136429553525585676450945832506",
                "183587794372253021285338463095207772992",
                "94874621108651917064578444098671639572",
                "50643054003463644021683336912504682221",
                "211965490076936834137504449871132642621",
                "142685847425432095007813634312327209402",
                "118176490472465022730644952910432363546",
                "45271050182807542401196608202481419179",
                "284215579134447132671642210778472015079",
                "323389778808756876359088396031912671948",
                "213292479898567659344796834926855420287",
                "252665300622017078055882482873104708803",
                "267010997714796883815716142699825316730",
                "329098650506736859160526205423743963443",
                "241560041968377018746613031260346508927",
                "12372771521491709003520049230032550445",
                "204322529615637915556284111597748833700",
                "129029960550952728324796104487598477813",
                "128773672088778538622467676997220760998",
                "142735676025429275183910798790666686690",
                "210498402756535643258650025429981895454",
                "179262961902860083000852739701122674645",
                "200500146549568056412836691483750835582",
                "200090915178545490453437740028151034368",
                "314593116602385484172598106967705928523",
                "253473405504579582302451489564707125034",
                "78036060017291666186815317242905963970",
                "3859153370242147760507139158005539273",
                "298970877722519468505487777178698194832",
                "96205598698532586497233663299902202789",
                "67763929560724733320295309988208082903",
                "89432289608692207443589882274747884171",
                "10059935959910570224366658066167676220",
                "262837264373828986069875424528691408044",
                "221127144248423578531700328630817023280",
                "119049213949278267083608519718748619268",
                "239153518184766915954502249305569053961",
                "85278598936153654895790860067505537596",
                "235424863052451488941449168021638727382",
                "104798895137965923900250119994303538450",
                "169687818470168789110455441685089873978",
                "278608464277358656214648819293002790928",
                "236455438102088575101458132515557212298",
                "290348520981771508184101447277241148968",
                "287850942456842858788496196293443630153",
                "293953629698075846204111452200389545058",
                "212937289654975157317644125224876085586",
                "75693822422868869404207563964593242399",
                "90290041822186342458285168568881115390",
                "67812584971825802163183407986704106213",
                "314780439003422029173632308378901482865",
                "62405207604358494708433484177532342236",
                "249023896125501803240007900219839434950",
                "95489332932240488734083837249644750202",
                "212334781211414734251893436475187392657",
                "230455007920957354697201660648397392549",
                "76274666798149857732841151751791990758",
                "192307882591057758021466428206897208247",
                "213056864410298565276013408346201575097",
                "311894468203406465611606205347486648284",
                "27709259980489555000145054359796398425",
                "151686248688511332947086167498722499440",
                "146261259765482772260677144897482596363",
                "100294999566882686662559768830846605199",
                "281388852758852042781030882677923140999",
                "98026288709140334307017031387772858968",
                "253811570860208976788784217629657657844",
                "150059400164298944332515550794563913951",
                "243960847317773573527459757267961068646",
                "169527185809476831634420732433213876571",
                "47103105304596135372488509605062231211",
                "37281188485716369894554037268010908750",
                "263652372262469055902971829805875030027",
                "206253877084096630775582541541148202384",
                "194293277678071098393710321067940882528",
                "15751463874873835359779296626649254290",
                "241761618372558141663705963170369645554",
                "256234562553338100748819267962113382689",
                "330891116252347536287005045294781288147",
                "82568763679074981125542532763169800289",
                "200008789712289168083983468002699066975",
                "98435430733721959395434475446677505702",
                "34522134770980727247868319649193844697",
                "330487565421220521186434492910798967218",
                "184065199536397132218175833117124921094",
                "198970419593160544563534778980285942460",
                "189189557754430368576690020122007323550",
                "140919583178658714693035872055512838024",
                "137949850906195524019297834008247411153",
                "176391680980613474866741191672364928508",
                "8071589971944153171761894714317668783",
                "228644661421148387732111729027965408835",
                "25321470684892170120434986193372571287",
                "23290112553553540635454496987845617750",
                "312835710256733809174372574782919172194",
                "2971777979808927558454619679031281079",
                "99307919101102119149971076817992109390",
                "112868718540653880041500582316370041189",
                "189302239726466184170103761156895329280",
                "194036256430200221039313964444484693136",
                "178190667703044991634635475001928428119",
                "324394298851164212050736989909351614901",
                "338235311710897350357258246468477076566",
                "112138183523020857499549074727961513864",
                "155585393931862030479241678233069322587",
                "313679774400851320976073404263226048600",
                "14061232097809600059247629062987315310",
                "42474551220440562829203455977044801979",
                "30265055082978172108309482865683961572",
                "173477939502763559931331658401336891634",
                "104049502003317608955525778701102697599",
                "333016684897038713508281141432346424360",
                "216652327778684262074058577362292629575",
                "168081630961903022170528098345717363569",
                "305772030042854310139006001944364189400",
                "259260358952129641632830045566331156689",
                "1890090910955700841438344330793935257",
                "244684230963250458518172563945469623596",
                "190162877122613103644689525999732938087",
                "279821014106156351130740439480076054369",
                "235307440152169819869922959192910108657",
                "184324910978986289547259229459805208304",
                "126197051497640582524147976028142174151",
                "225341801895984801133975419517274241430",
                "77128167688934739209439240663923171755",
                "19238232664722793514974938088172513618",
                "10366712808936088088667929178115155445",
                "205024693308939270974238007395479979382",
                "274866226689299961721420875101395382257",
                "232027125249427810799411481183089733201",
                "250690433765563770066811404885153635897",
                "312961025787528547298933468424602411743",
                "187468483624291681276120536875294769019",
                "14296017825473494368121271794924640313",
                "79278820812816302766687916313073975210",
                "154797597454955570419044107873003153435",
                "131558580487158130542411607824437940511",
                "152567505758010945978089607062752302563",
                "171447230370658669138574565496386713624",
                "78009309448749304241595026758596902433",
                "208167010444065773543343156739209030834",
                "221966904008681762738116259347602347568",
                "277062175047098767773379095888571560810",
                "76491783015495466007829036575291696468",
                "235795146715021298892472753049102438441",
                "290643925835390529391070147956679895758",
                "260039982085899078304695416938387039024",
                "240526965456892913512427695887435757205",
                "174652241339477923893073348812292020664",
                "56709778256486640581715351178656234699",
                "256077848153321864140946373491132055254",
                "218652108223861256748382205328625044612",
                "254447197942521098590720504501777064916",
                "141678668110203500142751639243444369291",
                "183889859549183600447821866903582513048",
                "316549359064978231018817366280933928470",
                "18147249587212795683203856016500027744",
                "79594627338975169486319311543216644387",
                "255351686154847276115673023473202641987",
                "203807563925656511454638861759308204411",
                "135848867739064642109801907954345125356",
                "337208897427853896190108859204410562436",
                "63319155546398951578390493152141082387",
                "46827852089551681166893910717535843535",
                "227461974909135160938822032654564913387",
                "271101934924244980601595017143838962916",
                "300399218547825102254186268323474005511",
                "186819790163638018810750037702028516970",
                "163107013234961183213733167306416496569",
                "144697223514081418213190945450222166048",
                "160624086292499223401652199580278019559",
                "56740044587151993205648226725841223390",
                "209570225037243708803783407822267602958",
                "38631753813206938295804641780086583340",
                "301370547616952773988448314403906389922",
                "188994989591151157852206855943711216074",
                "182762495105060455612693891534711194668",
                "164651413267198399377576842206006038135",
                "155948096411513212510356497747901217569",
                "109359895327750006205412504817767100897",
                "111680576541353742374407546271807476556",
                "325203944452043955613611146542492509438",
                "210306656561558205938053643409001634558",
                "70661707588892330019825061373498856523",
                "246774809764130976849117463455576482123",
                "624160101975858760691311637707505027",
                "293178027661738659741212723854377738087",
                "291767224869153438635318908852979549773",
                "161264721714845439389563052795624794613",
                "41273480439520208322861618772422425605",
                "320183037703443948513513042808615709372",
                "133605639389714228908041613023475920740",
                "329758281417696482176052035843811913921",
                "35725704288495709402591720640147594342",
                "119152069080633921746282392475357929774",
                "259476294255860237987120309020138121990",
                "95052895374115239031656885538148383812",
                "250710541792629929964675828180787747049",
                "310162341871768878619051460648022429661",
                "275812815573365684092024455326734060412",
                "88436644948346372823498504961737074748",
                "233197649639414574618387101334525665812",
                "21373399731256776543397664701553335260",
                "78580962868441267457117321984158960833",
                "170133926009426174867472959700947412370",
                "158714350579006157935055665190463214057",
                "296786166709252035089441114414789655942",
                "330643444113219223420295298767271436413",
                "44255162250404132505837595838277009972",
                "236832664403089000771698208634304596692",
                "216743390971551839326374848558235876505",
                "313888664046766880307828249205645291040",
                "333190994098428177794607474027892215563",
                "279571714879302106354991020566148852881",
                "238271460591634210532272535948098970428",
                "200039464670464836520885093696114333595",
                "143971108188210576445235496632082880627",
                "335491321476708949856358046859949231474",
                "339395848792665755740640923678333654322",
                "247734928920539545371074354923550627802",
                "67371025600469509181672079823979695736",
                "264604912968199535616104136569944746558",
                "50731907528100568897999845689532809995",
                "79575290735311897107262847074615064174",
                "255901810668637561710303837160750501873",
                "165509902951760043941618558519036082361",
                "64961373669156915429200904278335213907",
                "137527180913106867066506066465654787371",
                "136383817666338754150508339173383826499",
                "96943884881996285049591703131925949381",
                "11233003894355558143971810267315654972",
                "65976165737643245768359433465970771463",
                "78450040003780791805990556719076103290",
                "332306708042529660306091457497476142338",
                "13544252422484864423221001619292784370",
                "13422930502992034000964300736825521099",
                "154322850149348320560572159068763765331",
                "220246067868221002627157278442703330144",
                "278299394493800092588913509847219083899",
                "331710856447236766305675007861531931429",
                "203271786401107837746434469419923735815",
                "6484051453115171992288193293019252386",
                "50783331547107291485254737183123601888",
                "157981467967474037252356810401888441840",
                "217728682507598909846429806338327963654",
                "154596683857602754982938511308396931588",
                "99696890106539473179458333955584522534",
                "62823580760794057085660456051023054340",
                "248504856310277543663691166828231923434",
                "20645118441206471947316827764309216290",
                "66598181565552648589011673136216505836",
                "236767895566320805228524710764192501276",
                "196338002916482462377861087409803149939",
                "332049098955620305589178332423852294648",
                "226312110507503008707638201667790068963",
                "237145596242948951656887233117960803850",
                "85288455438559737994116902929176982612",
                "169017701843311310084208979202744236727",
                "80779663174616737614324514827785268012",
                "92777321066564222716705450231532229987",
                "180414425797881253535850631410764144497",
                "141784120729222093642165220628530250750",
                "234174953733156126006365070657027543332",
                "42300225816346397767117863513401074425",
                "12507208595208359336151061027827801817",
                "259085526744064556175271645107247481707",
                "182461040834131055444379062673172593323",
                "144946229678157239317453384831751463631",
                "324662583641344875180754590804391911556",
                "186649887293963090384752689630206576939",
                "208311011316857602373636870857898304534",
                "336208142719232269041057119351145258676",
                "322406415301435676604125344396655298770",
                "88938582104448533371344433080423214553",
                "178853487500648078701197684016003422661",
                "249813893367013290105411992848113437504",
                "30586372660545128982215940847952392620",
                "318491845389101746319730789355271778365",
                "332248518715020938426286425308270684626",
                "268130576418581366371720570299804360451",
                "260606104009550547549336883116152666807",
                "86403840882473606342035619202734429702",
                "234596876847522149534636031251832586229",
                "54619842531325103936928984161601787972",
                "3680901563826199603953040333884233426",
                "254059777876541285761864938821926640314",
                "264661553790264832143244984160629498508",
                "238875676391568438978374460362911925581",
                "157135898444543899306654177240331444986",
                "38836251599125757357388103480399745077",
                "212305964824618415449905704759569469482",
                "309252874699053420001732314910022596091",
                "184181435241250185719993867231574990958",
                "279076681804849700164634664360200883357",
                "32986145388108663316359797676478436152",
                "13426566574831214693798570684038721266",
                "303651394171137281668998168218966341786",
                "67794762479372282050749937867321814883",
                "288719144218752570769938350399444238655",
                "189955720246558971089493482775812228065",
                "212502017262633834247253887781484221080",
                "97232638823021306838782103691312162949",
                "7770619807501782648380921013822899909",
                "13663353665827551277550047435093044263",
                "75982844287887087778151003325279625591",
                "186879616547539049315818179227021569805",
                "50360560173624909036574212178229587961",
                "248008701172228560021307154840680615027",
                "185892121994686558621794113647975155661",
                "256838150758506896151799600110598633607",
                "237134089307952432158955128509106614232",
                "314556493048919141587156728163313961885",
                "325061880330765385549134619444768570324",
                "167788767116993011110409755336843938359",
                "39390426371861052053760936327457083708",
                "328245200599464028399686448761591910195",
                "268322666370167654414607704320804617783",
                "184426265417311568163859676057392645485",
                "225351739822659963121227873449152640855",
                "91972057086725845563327177407663637456",
                "46553014615080172351620225053980475346",
                "190588838077820280237738662898850844974",
                "974126668843179087264254399368491260",
                "306235559125042601020259821008889971907",
                "91171601622623903198967190666427612213",
                "299545408457346392955576589280405316861",
                "325919130399534741002241831964574056302",
                "114743456966324609865461604349746908115",
                "142403966603493896763689732540147760508",
                "73783245599482017034612299578707621534",
                "193027229625459419645568615101896179414",
                "109435520008149451561777877979328505349",
                "313545909819073872349138575475881259433",
                "137499878733026894256193560939723840535",
                "105059648972669100236652428531960277168",
                "123988776077045341265084033655875734087",
                "2914333340147152077914689044183060565",
                "17065903950723397189270001130371005384",
                "253877877121948473750746681266255751781",
                "24751128473889198203095646975810684597",
                "171038671674924646829231368295097308383",
                "10240287146246493974063755815278421390",
                "7368007254565739598893585016834092799",
                "153669735927421174992422647801269489187",
                "90679248003450765292355539100850889288",
                "147669862484009585511972356088633728902",
                "206421097929171699036950365245326406241",
                "156776028433249323589099233619491936971",
                "271513220692412004412269879447565277434",
                "331380904356893792224583658702460464455",
                "87310593575285944226906574156349911413",
                "95227287734490970394265128284342902041",
                "334711813296639956620391698358728672899",
                "144537321373068627910394143649462775927",
                "21442261788723510246857033222687910662",
                "292084545975902473354321666973721271601",
                "117517405477950251141299176706652235180",
                "131823040847901332533819409727830517219",
                "61351191122244903555581136490153425017",
                "146730747597265821137092354058172783599",
                "291631585351661995031674710203725024898",
                "28247796150502623334507404221536721653",
                "220033118736161801505454877950292949239",
                "39825906204550700683510373674307642748",
                "23415656976264850844327811819935126488",
                "183553121725171315260137980569595092933",
                "151911221288454038843398189333084356380",
                "130896090182740132116946356159249084800",
                "277245911954731667715279134753284556103",
                "203190976110118909620597817305227271562",
                "263303766148712100377059097848010395397",
                "114027287434991865147550312843134925937",
                "142318659651114508378436428231680708771",
                "195955707678183785237410914357015631103",
                "211044613232254115702352743453997905811",
                "22133411975888486609564411015823639138",
                "266263772071302246220355052616423542864",
                "121600999550203876860968915126118471220",
                "146476939014591483918813528464184096151",
                "107950386649494614131298078549065989650",
                "8108771199819309057510048140080600491",
                "303138156475695929621186820182857861454",
                "319160838974699903069501625429408015894",
                "271556787912122618127871697671973944280",
                "104623900095977133645532067601653428088",
                "62941357495391020336741880314732880471",
                "25984843393367515879269333587782824037",
                "167390254646681052368751826803021555076",
                "160980516380465485914538870691682262127",
                "293522088661498332210251418759900398290",
                "10500483166747647463361380635762931365",
                "155741781008914405349443874315695694198",
                "288392360101306491315134031391864137102",
                "53835778514406938891954538900720412169",
                "213313998515207755126090949788800219165",
                "324753070702845757956110635674285640619",
                "155502216877252163219024651688126304549",
                "240414877325799386429506211583873973449",
                "123174690035959439316192479606817175071",
                "141220365569262170332560026721754486938",
                "249090701914856706442683987586612743856",
                "326755351116631752051783677029331227545",
                "43745955078067813127281143852752040073",
                "20617274827793894089494195235825490176",
                "60015213516053729493762682489483985761",
                "60753355307833985070928791447497021315",
                "242285559900047899218039333802161194357",
                "264194083644873682079847710545353141272",
                "107826968963542902557675932474622368725",
                "231825463498976625624154324399242584197",
                "98637938626896400099649707740353197147",
                "306953533069269186511338371148403997266",
                "53825107182875215052554989834258985060",
                "156946294847824435872626050870983837722",
                "315934932302816020693094112407304603605",
                "192361153335489761973833283913026657587",
                "119382012420659205050301512786272261159",
                "78265722772413888077744905411913639131",
                "25618064602063190643431351532059720020",
                "10762182465129570467134584256263185552",
                "116049951022467763089315554863857429561",
                "68926375224414286946322889123332793299",
                "169630643297085515012486508640872616057",
                "82925983960591000203916492358952261727",
                "46760335925726601823305284183917763386",
                "14676207806252317225144440339482892473",
                "259414545817147097196600202697439744103",
                "116990356616035911707303138518935180315",
                "260830180535981351701099523291438544189",
                "328692348001720482086931108321138399235",
                "227766314104908321907548890024183202884",
                "184338248468495453924226930163738563052",
                "267286731470996003579540091738488582290",
                "336136109679072276719360840647469814645",
                "43418368967368190325663119826777139245",
                "262275083408225481843654730189514250",
                "241172438846415113635572847970714339189",
                "63865959558730142303358468533162174911",
                "23456225438061586325413013704198765030",
                "42934487803622499985073809182863236546",
                "70433210210930543779842093251490117777",
                "85593538993926949740493193363768143169",
                "328458609561009062591698003950463065110",
                "320467650308434707103543564897777447252",
                "5022084641665036590603263304212805906",
                "235446188304607126460140285916946560761",
                "29987850033581402188880137721947481072",
                "221805813986734213880707015498659962367",
                "83838092556118747026404734498838489065",
                "324224375167968661952812135576837877155",
                "193003327779571280824135208512219003522",
                "175086438284776405449079298560109812268",
                "35768376159847675887224583936795586175",
                "34283362241549188631893064976120421440",
                "218831492819862161508757649410598481593",
                "75104785384457534568366153900553017198",
                "262734282535592488703902279967637879401",
                "215487998906846748208305560194551501701",
                "112487213712076007257758781179196071370",
                "294269090582526389560248041445011923726",
                "304622775195029225464163352403820163603",
                "212691199848504165703254016525702019488",
                "74346767850704317873516495137427019614",
                "209725512556787896484454107965788765899",
                "150882878545676744608577417099402515715",
                "72099993180089246140549022237880907645",
                "315265662021501510384192239098672809873",
                "112900535301021308019315268312178665711",
                "11279858182333719019087578054993827334",
                "138824097918276421023919426864497000187",
                "184640183102337586136565231162759140484",
                "331727693787339910141750944586690127647",
                "160885461327892776287186765581968203177",
                "224239240628225280470457458431835811423",
                "247693053891302433047704224807648044168",
                "223119830149236766908934880224225704074",
                "293403205836501138294204228534213082017",
                "30738665519957566109107379436066991670",
                "157766100775845420456362622241362219456",
                "204054865227340198571873620788822258632",
                "142101538036437325964905366289258090773",
                "206112544056907031756463469280598469548",
                "283504766194724777705865222558880660165",
                "282440559120959395483371010662933000177",
                "156613406164091289570872043265307097957",
                "2920190583577378580742244886463709982",
                "283242784772985816085312908754484533509",
                "210285744067174235512856823316978239483",
                "79867492257259471727646922685962142630",
                "296712698279472713253668352444377282431",
                "198639461447158464209614418334440338214",
                "203767141461876720633530435313180814322",
                "20212093377912115391615084093007629809",
                "312530537231104429805695962779224805077",
                "263622399314654441752220034636867461766",
                "48884631445040440886091370853085175685",
                "320553241330157090506758447865168686133",
                "268931887134149081169792784166926473153",
                "162932955015426379747873564857194468212",
                "125994999066934208351408466947658415454",
                "311069796106475300756486806521645682850",
                "320223976616044460039630907451243848160",
                "103029888601645460679092426314175829694",
                "325537376589697722224723190982803447463",
                "169669791936781219099723947480394186822",
                "334334684501071013671988617196635740566",
                "186347282254996451813685235931195038741",
                "266743719941189084912692398109522648663",
                "273012694044308483426393698408078269934",
                "74776681288424679743417824053056025775",
                "305024947730415500583292689279505277224",
                "267511776628138414265138063254713611222",
                "327987587674648764301074235315665448705",
                "156198141513087953363871351148532338843",
                "99046051903434383371877564827614592152",
                "246872972881488283427392859892061412160",
                "48112882621296723505398618043881551704",
                "281284501854660662671321943431233901072",
                "55925115685847257775731749609107019268",
                "215414016078592797784126987997949233975",
                "8940435628037535769372364263110975581",
                "63308350849970365582734847467321389477",
                "91076219025859815347633335478458812462",
                "63782469963762350793046677852225443037",
                "326908310372127631990451563074778256972",
                "206329076576796186575381096807800829134",
                "271986088530940740461565845239212937306",
                "85847351699076676112012812220956503789",
                "24582742677789261713725061675278565228",
                "157845764842596905957949140816925509430",
                "296709717464310276820623683616154321346",
                "47609361550348273115406056109901052669",
                "223632763897487210976891714307681086786",
                "313771611066879506790762220975372099778",
                "91505959977410690738904680414330346988",
                "231871718689643519903014553385358306846",
                "131738469180586862348517365114882518955",
                "21659204692475367964309871360679796754",
                "47055679823617062890367211880535927725",
                "120768804821283772169762657831679935303",
                "174602429379739008792557929874268199825",
                "280969608415255701564037411265574105815",
                "309280040517672329887742342929958969905",
                "193362511990891285078530053636633353154",
                "153206972952969073988062243171313149083",
                "186718590289177631004238069754902444866",
                "234820399391302201076017987627692776771",
                "187315519380480690526850722968199688569",
                "267135042408601554579340191026261518705",
                "290747985996126551122537695742978346802",
                "164656202988550463479273912703041136155",
                "52157655093186468034407871160366560555",
                "278442001275354200842747708335768576788",
                "207774571514993133940588618714534565462",
                "189050502443238111722304952615980021510",
                "284147131185162349936802408677174968054",
                "322486172862895665433321204964310411313",
                "59581474954535256929901162750488055306",
                "115677984151320252043680853843405541531",
                "166587661272346084048625988227065964171",
                "195716757591210368300594776333447239805",
                "301307754806159548134681807575705728344",
                "15287062175212346223966518237260068098",
                "321315462525011640038940917160590951978",
                "19796060381161799932919732780215767454",
                "92142087665476661593010451741467287166",
                "771181501426888306414916657832209192",
                "116178453283937019076323151683502264126",
                "211148115251142312762513894069459468477",
                "78056257209060239959610380616699915390",
                "207845691551853008210092694428338694690",
                "91177591943876012389294424329744445592",
                "203755918188285588883813470677160406200",
                "105200856114296866541763027843203275638",
                "1176167987719971788015600874757297572",
                "62552768315006452088791425467374622075",
                "37037686376404599824432626090968253065",
                "24546327805790218427744147292898972217",
                "319114537608364815620774596652124139946",
                "289085981326027705210342904473821146493",
                "102635558724186689211635954171447189436",
                "6465715164845795052340568144625507339",
                "192521394159802997205988431428587547921",
                "101566034804952537596735938813789502246",
                "89645299350286044635762234000474290487",
                "46662206306248935049950148576049431718",
                "300910646079143313268044532774532599249",
                "60599143520562481617227460498641278478",
                "2349748076539653577311603093846674930",
                "281727810800561295649138961556857215727",
                "154905275868729022247067478370454033041",
                "323496090530992069223865671273591653152",
                "198450234942639543199508296660263945934",
                "218179017215102171305116790142946899566",
                "178383470804901173525536556747482248009",
                "177563070504000539754253660247323945788",
                "181168518894832140635314882425583808264",
                "2391426299879390400129196214537435948",
                "86946055649537377598048116184960290182",
                "114048800876718052341885897943323251174",
                "108018192346202101858225351828195859724",
                "289573664704242188816538059938969433561",
                "239710394103948429913113729569076941451",
                "31694923073031779270774575088857388456",
                "339072315627491586151885666343584915137",
                "284041012936414256734269379590233004906",
                "163108681643608029595407079800094665551",
                "247490828315389878115434635430085354426",
                "250851015413032693027032867271004687006",
                "289453509926276479255341174649678287253",
                "297288479020566279507742011286400408283",
                "97955188767448532950177088043457539394",
                "329980631704946151039552799584492790746",
                "103283680821530675108071726587091881161",
                "256593420015814801867281067054460532415",
                "131103671642810592508209392537951797234",
                "144788107195386060434618784347913259895",
                "249930075411632108253822587023034894709",
                "117846839899701217676462457913850240583",
                "317498624403338518968428506060071362857",
                "113373376841088097057756117802202774828",
                "255365131779750949802881964002558591418",
                "287631785515966058415253144736483289256",
                "44761930853842018453758307269808864004",
                "45024181503292580987160143279738002007",
                "226412419424713661874844018688164371238",
                "274460556172689439686919777354889303012",
                "285134350088072352560852024546258671749",
                "303667754014269368145887217648353027666",
                "130505929695147017044318893995862124700",
                "320377616318776528817599293865748110919",
                "335060646652697102905464572683217684161",
                "293150595435440316467271732726977540819",
                "245356041089106231357846598227139237187",
                "288647235500261521587710313791952923303",
                "321500659164084013506670022980395918032",
                "171188864027118566312488494238157506408",
                "169687111808527366540447182376601651354",
                "73764608732098051706323402741820968527",
                "293504112745185454556454266692503149621",
                "74111424718191224035030533018024228569",
                "177664654709834627966619707456760164499",
                "274188331709132044257488256892053416938",
                "51444898659872379455904501066230008374",
                "289189682772133477095718262986331919993",
                "110241061051227264838246649978583704917",
                "22525493386922838109740817200886711989",
                "207061020972698121006560568752969798754",
                "15112335869972160858072969945559395816",
                "196628236842824684803419703131035179437",
                "174786647841460808383755540947958393781",
                "182498988263693524223714990124228509878",
                "38340900792916016501591191090033918374",
                "43685352479701414522739762982124826832",
                "198900685517896912316453491274000859345",
                "338143083191238380653223894511313651907",
                "270462866747634290663266144976239053658",
                "170122684491907414492334111553299579894",
                "150750324716838335246629805362524730675",
                "227701167885289947279123472730450981907",
                "16152259818836562988058720051419368151",
                "37269574315016827866610246910832001913",
                "316247273933192068779934789686813713501",
                "184821478962644010724180060284212544428",
                "281714895401341270565246080860757355308",
                "187671769905486525053917820486383908985",
                "330454526895762871153278208148414744583",
                "272756542081684298517405970500741933822",
                "321418031373721710333280586290194498265",
                "248684782312738998988925307649101484273",
                "321973413191503140098961389213114795786",
                "220394811892595629243823900252146341133",
                "206231519658546462519812234630873703962",
                "132531597168191240522122854457598372949",
                "125152818576572514118186638266449734744",
                "142067101636666204603752516584807996311",
                "135401110322888551151556929958407902274",
                "187907393372170413692039648317309907389",
                "260645941931547597518629313597485702144",
                "105750137918339904500615333510582692089",
                "238061978504788967429574537017850173157",
                "225676448432474092806373764709722411685",
                "235875845391822293216092677691876264832",
                "303063965109675811577131535494656351531",
                "218256999870760728648978559869499229421",
                "75118745953431302692742195424590799955",
                "255409932234331370792653180645366004773",
                "275488758990484678496768313340766023713",
                "15527583170843924696703067811708992039",
                "326394032594593198372251040849158249604",
                "254678643267923052917465167605369884238",
                "112564586441327737310662167614559537271",
                "317337865111810447301031231652388815237",
                "170211176658124754869065937787206027472",
                "280247074541503415133993504302785365878",
                "136622605130752435474295531924106936089",
                "199145796564876814418902353589648742772",
                "58275845939090466970628296603799233169",
                "121673773883023397898839777678539751517",
                "57361856949278443099297612542753235319",
                "60602289311958872579536797612911229310",
                "277933426616000487322808141965795985540",
                "120854772042076432517572562757445530411",
                "49515190021488821876810848822961433666",
                "330186768116390738749188485660844675161",
                "11724521040474099596366492311127519907",
                "297472685519153659138731290272090131978",
                "68469458814859999778842494128298665941",
                "195317064888510622018507571198407944931",
                "273520379943268952383059253169067387081",
                "27375196461015617028442620081969320820",
                "224620110922022639360242864127571312464",
                "140040992055388097916524842408306325404",
                "285519026150733343395728009295138772363",
                "209783859250353541767099299323735839002",
                "204287654005565790550043480832730951064",
                "41611994702151025198743036060347273826",
                "148190305831104082412841079387154433828",
                "80099012089446773140494652550008842438",
                "314412296469797912371345155476895398498",
                "105658454096122703737113690842857757232",
                "309486139363420111152681798088623692360",
                "40933080630216116165123322778322674634",
                "53139836947293432470278305225393105550",
                "72668617407137255256941047465145566585",
                "330085069039779035798969588554578922546",
                "164271331019455641065493555993060703630",
                "96046132139254490844509958105318086017",
                "335398916291157545409470600834237662161",
                "244143286926445356378681001400711541482",
                "155744350148631484425974726928094772012",
                "24994341680161234702840385602151754800",
                "149512894808159426527746543944963826481",
                "286918182879899110554418604604461962789",
                "202474387167759669547378740527928274684",
                "283996484202652949035969097013234818652",
                "129652193026927038783172157710643636618",
                "56512577904454476032947305641083227007",
                "201606998703106778464634302632117224972",
                "212417521758228224321604637006732262588",
                "137329299442103692155691812795110633685",
                "33909851072781656788441178041007468916",
                "45712910181621271706863651548455681622",
                "191199670289447218418010337585541832508",
                "77484042256721272875627715536464749340",
                "107338734317350385616700232197861341641",
                "10142866076795051186730140730397240895",
                "214979206812368672653163562666438339836",
                "304764109583042918145781549134758001369",
                "205915693054312845175267951625125222847",
                "233087017200855324942488244417586069276",
                "180304748610453122941260374787962226519",
                "191862878501724043919041279482212790637",
                "136492274895997293957991082635150299139",
                "265354807939452212748948100655948858837",
                "35270075744316314368530800657065318720",
                "254765175004293219490831748225112424055",
                "65922596343217401033454164622657682152",
                "71853289634739252991491577626363926321",
                "264286358744583065707601152371800361123",
                "160001095826255157096335488924588397583",
                "44765544939111976359579788937314131393",
                "215133108578479481695159758986173579280",
                "176223456813645465066435941169604676056",
                "149599484335762515034593739888602997411",
                "163857773234718627536253046541504977973",
                "338554514606398380195037953446949392866",
                "187568127900790989217388954300378443262",
                "304057777669668064298068344157951518268",
                "233187137833573437864590796963564659956",
                "163687919536472695466878469070964722982",
                "303712987609374816530073497247848749330",
                "142385488681599792102818300721621086766",
                "201285708253626063046289885377719377730",
                "88042970518114362251390709090636611420",
                "146417469408370527000063731937837176811",
                "229869863901843506063240456497091272074",
                "228847691459258829092542778218700728564",
                "48232167598730638416950889233927315690",
                "116225899965720096776412622647718160684",
                "5499667688281645399950571553067232519",
                "246304071073989769396352940927614304698",
                "265706005040870667577033187739270633970",
                "47379098454087946293651204280317691893",
                "255199396338623543508500923777858838846",
                "645485455551942468672067865355051190",
                "54295831239598423365674496169867202939",
                "196513195902204239710037397709130671332",
                "280551523805268054893033424168684017211",
                "238661855169582642350354229574806211750",
                "201985279397808219897024327743945497759",
                "217172125207250103572914326984799403115",
                "274556201384966909418727748518414057514",
                "42252197859232955888466795128714888413",
                "81517225202106580742700299478941993343",
                "264425482192389055275771996921794063058",
                "212366870064178346630726169013399141706",
                "124742712140928240645351717692033121520",
                "118617995635978467575817120934852307402",
                "141007418456846406556299081749910495594",
                "320102082441886844029580996229397347961",
                "183022135350493845106401753270471695725",
                "57527217777896178761673473122233281338",
                "21074567550919126495746174525520813205",
                "265627658204776301875388590632463407123",
                "132090404686666303303992040335843675914",
                "64477989393097234897299743274232001087",
                "109757834202176775562352828877736918194",
                "265934569843540689295831090262681782182",
                "103067832664189597143645974374291473128",
                "30560609991275460388398390657787196257",
                "263784027290645251988445206447129292782",
                "259279558122273280979085022510395234148",
                "322822633729977269137379646978829522598",
                "145209372196142051403323887175580783472",
                "162165984156359418824776457140375651646",
                "63619252972967081105761568494671894516",
                "206318949093065215030429156918115993395",
                "339981123575706695872113392717411146839",
                "95602768996853746270500322614137857479",
                "51108217019786059929986297936768216435",
                "257536622751817543523295971315361456328",
                "2992412760668294741195687943264723077",
                "193999207019921585374169430705019247234",
                "143700423939930217003495174637519852794",
                "161874249070036881704474466767282902631",
                "48153635310907166386589643189484462206",
                "47176868975137457164845975302292074316",
                "202893488447793375327088057948584122511",
                "233244218048801461385177174506721818684",
                "322137727186993295678678709607230707536",
                "2816660239734196164551963467462251068",
                "212910174906120097492920784768444448124",
                "245608071101233597369799211984842148559",
                "157814461961674970210498032705188903965",
                "311370043043642966575900800005350315453",
                "293291795180052856157476448616147785628",
                "238737763167951974175023172890372047207",
                "74882306134888406295480020749183232561",
                "186580046538912224721158621428405119158",
                "227489776200457719066198179854861700734",
                "258680447798344818670493434501075064982",
                "191328513177555482736740922057541672965",
                "209017346625960602726162343062676527273",
                "99463508416758189444235550463420908755",
                "146224912155152773718834537466967058075",
                "293058950796393189214791380389292066335",
                "63959675535011939441176712909032428766",
                "297460010789748835415676085933144041462",
                "257841379969088074850312657973436973862",
                "127267101359337939923676332855451824577",
                "297937519995067066066333547713439521319",
                "200476897995021589164019806484623287168",
                "182655721449350019840101342505892549014",
                "9866885786066312370720659452507428425",
                "140710952424459037581697931878540108171",
                "7489696326247694094031597538509759900",
                "154697521404808767594395071098080422062",
                "6668378387313483199129010778521400142",
                "252855389850304073555112875638189122733",
                "267553751538695295010592621158466698060",
                "306839896424560717848758031705050799883",
                "83206205970374444714604518896655912422",
                "256980150120828857876005506378682712186",
                "24033149499506760612912297512911695537",
                "30453902412022165422113801034808891812",
                "12174363006827855604581936263396591791",
                "75782416220863056779418734809380381261",
                "20710472496167356874582808774828961881",
                "126640143964230921661328676746721384604",
                "276426933425958057510649444463611147724",
                "258310557993684454851620680687994032984",
                "234884525105972437592028142699826968580",
                "8661883501524842395298146347863442903",
                "99277650777373721422132360941224481341",
                "182301721041235886814721400297107780777",
                "121134044855202958358245179770251394894",
                "235589698618312388210502971055439813977",
                "177357836779118980049056130117651436202",
                "159979346491397026735407427554617259346",
                "252973473533129699432334977844143500348",
                "17583007775920113453818287048767819933",
                "286223844443671522680036526686651305405",
                "273342409654189815304518082833192998127",
                "26995385666402526610126558433606080686",
                "162313745989555046746902423435835325378",
                "37253421395709830219181825304455718915",
                "63577488588302324068882841847577372705",
                "201821001441824531799452752830665797344",
                "314712627893959744066583812327441230765",
                "172052287737469521997228600158763609579",
                "23365613261696488621137250963036087774",
                "135970727261481439123321056878374827404",
                "128251997186589598996484616432928553066",
                "328093507370663946952976148682104489002",
                "210567067256847102982931328914646373233",
                "160321766066682632928113022855286530296",
                "261272281981760065332717988402435851000",
                "154275371340790138972977828239647796469",
                "258928107302684664766700219376291115461",
                "123743574048954995743648464322676172413",
                "133926415804734418903748382002925676750",
                "112273115649884976777825256515111582901",
                "260804459791966777462192028142198260082",
                "118436990961385463780290281837464286048",
                "214194270036582184589292688606311754584",
                "50018055215875064779438501877501454756",
                "331547344736942465629084169400791017673",
                "180031978313246945222107865019952219507",
                "4556837076911991259166795224918671075",
                "41414325970669317200918714374028765029",
                "130218296238041171815731865733331816294",
                "75947660487995566538256891886496838380",
                "107474082186203987789068483452740572595",
                "182263573615780781872758881376991688615",
                "208762994796697965444901500256480551545",
                "275934995657031418894632829063270876097",
                "101857510121207782597636778084525288117",
                "330087150531881135400315492065633937290",
                "88060135164035255823909273114061356409",
                "269688453263926219222726555439341342246",
                "57437751593728519887081073607368076889",
                "142992587271957982481033835762727423371",
                "323075257228635534473612635137908487416",
                "151210021696495263637584059556837468970",
                "313307070253413729599503888669920695221",
                "139073290607218143948835474201310941863",
                "109611199219251647951021275130942834572",
                "35336597168088443290858075304368537823",
                "301050740604868231933116428399922242505",
                "47568204561473415209099129151533454502",
                "224136380384784228437982008095605749600",
                "208827924787251708549249610171459844339",
                "275088420627098450846484006240282245059",
                "71657075926233777029916475901217087697",
                "108779985049465452852897339298516560341",
                "41363783670073606355025963461435904551",
                "110169041168703485956707892103019280968",
                "197799366267973551533973328094269770971",
                "283549474574687031450404539098523153159",
                "44407868339413224679002546856574714504",
                "99504822379770448276441181925709603338",
                "205833622477639524525395411587346413074",
                "212582880575082780208222445804570082747",
                "3913322072692159729375040770072023610",
                "217962663802854026955555323032131394690",
                "79233707226553257603663781208338739536",
                "178219838621685520911509842059933944175",
                "84569432645092160618274975818516120471",
                "25401793226965048185102839968446787247",
                "326290648767024835202511011672284383998",
                "313268155388470254408771345496302553952",
                "3514467952470467933246519386553008436",
                "250055043243370164653837486584343174428",
                "338813109471607728574534247030207209477",
                "165478396169430782349098188285825235860",
                "153572493301705279445500424106971815969",
                "305992102416151209800434548382553550268",
                "11235739025165621262464782867441576930",
                "337031978640827930261023235618012243271",
                "302316743693784740419048564266243474329",
                "18998924533826168207606922499515815485",
                "280181222475039625920569882780479050151",
                "321723316727264601885785515055322519209",
                "72865036623158454333459056694322472860",
                "101672098347680340428227797877409852402",
                "4976863527348323861459371237938677365",
                "39410419618922254042804035774653286702",
                "273716504214454816470303488472841594119",
                "298869693393798766779963199393248567650",
                "143524685987603669720013150323540810696",
                "111815263260239638422515111308299511892",
                "158186849069637633192867605972336069971",
                "267542616510316748891943070800520084478",
                "5377118742780302473475792476973197396",
                "219151286836680583633105135435098492710",
                "15285415715478862274549839854458746238",
                "183655720624137059778008754706293122605",
                "129084260474162722146421342052964861766",
                "220608952118364432306113522508826958289",
                "251205888038984531595925489855552288525",
                "204939960355995172892111415260058656695",
                "39524215082341806724531153555499264185",
                "29806718630401865624638831196434933522",
                "198469096562027354334405371082377089814",
                "329998647720512907870116515857548296781",
                "230665786462720301971334646851097491759",
                "48544834481336160999743919962693431662",
                "72963859055128072755754028622957309163",
                "282809363465826604681739983596101353242",
                "230545754730533833561640524985153147646",
                "170134879839906895001281143698194545369",
                "167524486068054185254690799259763853582",
                "137525837475361912357448270368709577817",
                "315126745064585203309041589348721165087",
                "271763227958185152629122544943614844676",
                "134665466259999082587980245412284564351",
                "80276477600629795974703369162626027985",
                "132021823779170422116098477309721096262",
                "106385633344962019598547156947253521992",
                "202140968651407053310831321053048230071",
                "273459627769194009460964851154774862043",
                "304062432326429340562060010847117109347",
                "231064594737931922871390305764264907013",
                "56648812540001005635573363760685378106",
                "100499593728237314877272713137481049819",
                "44832425507009079218466585255419068783",
                "224782729299972434926376021634691727653",
                "39284837450197071649421221131618058755",
                "182421477946298740335811435423313553317",
                "12266014752211401823767571618379662083",
                "149496071768885097066007881464644784236",
                "123444741020964789372576560779709525447",
                "171970992686713428368194402277469423285",
                "7101721064745600828926688377338554973",
                "38849792610461278259424306519658612536",
                "68561881615062346884549846872048327726",
                "257044899472247521865657400054572734687",
                "199045521804143897573337922905428242721",
                "277010270641303663824198439540456534439",
                "65340129581996828260611191347415613916",
                "108968280731553614559403252868918673459",
                "52522823110695142677114907944601235240",
                "40333082138446986903791233869704109953",
                "288357949253506336612797053468907765379",
                "324226836017892914571845896322466652706",
                "265570270305144743373559788200925566644",
                "14776785516684432416979728181132399834",
                "3896864168858734573273543033138595540",
                "48339180207651671007303356787880571602",
                "250040109336925500076449369915291739358",
                "221384278707755135075981659162198184062",
                "309365755772534841719668316903555471373",
                "103699983063078864205071977608703575805",
                "229107677374618011001784247623804498534",
                "139498557504820919437730459478092494484",
                "283601886449849987678122293972978428409",
                "160176661293268159389726582286424377361",
                "222770284686194375702958947379242415413",
                "146545301963515541298881247005325715802",
                "33631182406277920683561857971489189684",
                "128450599478588107815746838350360106969",
                "117880928160795262152771978384388849672",
                "59402338900361614900409391501377065629",
                "276412349170143868878034222665034575093",
                "239345240045482783305362332096826015291",
                "289663053439105130393313943168104882055",
                "317935705183720382951405958466427028397",
                "328309673168547591654265531908109176265",
                "210535851180965567676547021076004031629",
                "113254060048989771347157437201069866349",
                "245326680387345355841336171581012665069",
                "119382695012245056418360573887940362265",
                "152438878223022810309522490610838855913",
                "166171351106062019044177060256895994070",
                "241584674375873134390656597882212718981",
                "249244731522675756267690206740134774806",
                "128900427737378974100901831847089629403",
                "171478648602266533913630317894178360385",
                "185962145748280842943910198315448477564",
                "204325112243038930494715362312362051652",
                "151133514689320688196820053018010062799",
                "154175570017152064718814243330595573892",
                "292814663894451562996268071273950210139",
                "58982074670170229860835962378078258624",
                "125778492421790019737668695553394540176",
                "7804072259431986691305178360900285301",
                "275480039324514849905893575666882393818",
                "17790643876558840448141167543556274118",
                "332310424273647577894056652785504370133",
                "133743001939210073450544523888589062029",
                "130815950549244612579075199466724612035",
                "113609046325671288379782093626083667521",
                "287614851318583595116954579671213313420",
                "127410159382967620555655030098384130037",
                "92985431928700393635258784013573555478",
                "43716158387584553818215774694003733476",
                "225162150488358448008467004755201460844",
                "208078448962357703430457069645559041655",
                "45378879515075509832659322291778474168",
                "267796819296106790877417623853403952261",
                "101989894984763691176655773483484998586",
                "113069051421798769328736714929350928518",
                "134590251661279899641221427890155381490",
                "29334534470596261130332857865790087281",
                "94785333274484925925783590520454309463",
                "243558348346066551043516960127570762790",
                "12552457344764005467607057600591295738",
                "248152843346557577683780419438122468002",
                "280984418298180171311233419602835827752",
                "200024578182607394502551803502695773125",
                "335301371168872963713046679192207718196",
                "205788525521407836525237206703313710987",
                "210122366413280881608169920865970158736",
                "327116178073962249112698556331372451597",
                "37986141321497973966524995817834092780",
                "275847682594224803331752098954719047897",
                "22729299174105344148047886685641135336",
                "288957689762359803987329330284074430380",
                "221874056354139467830636100348002270670",
                "43775864957831290253996290058262563179",
                "189145869843389519537082448194156129186",
                "169627623922622914754065367379272095679",
                "274863476703765482384676146914882795646",
                "266247131062010988509769016451657694414",
                "299341531183037523590445154547635548044",
                "289038946008901542316784193317214456713",
                "256123836569860151555031028048759008143",
                "172247200230089870034011602930680833215",
                "22653855730931498231464730689075392161",
                "112750971432415221113488823175383876476",
                "243150414091757166902142151921524930479",
                "257706392895392682397863029665430194788",
                "93945887774192572191678585362387429101",
                "100454130337731058553521359483730430492",
                "247539745366489948565402310808954857808",
                "189415905053180580587996769820677215012",
                "249388902239350812896161460621435362177",
                "298239347629421980161515039234903473497",
                "33771326098107377884238294838862648231",
                "93085078636473436136192986226215096589",
                "297616633057741431565756371617725907496",
                "233778630779701857012761135239004943056",
                "248271803925445269679485425560626843656",
                "62857160688918183922497517941026312614",
                "185193814531502059709010286264785072701",
                "114632494206956850447835718426768517202",
                "338203470793012314657775100256121812510",
                "41954416326228919653792386530175382882",
                "211050552544905378065676995500749356564",
                "140384127950410700206880977742803392352",
                "178977541858754452917040067165929054001",
                "148581395648354906941107908794287309560",
                "44524372268388457774630329699344968470",
                "190334479139139644820311361094222350810",
                "163818089877021325500570628785047056361",
                "209497835505997625445568315337063977130",
                "245873417497372909459342336566945303489",
                "141854878009900372380110928353974015112",
                "298399036764781787950750531674497893806",
                "244310080245036005154169577246262515508",
                "118015449888952789886686719927836820285",
                "284797092853770260674694888960921129892",
                "262546114893520710416592961140259333163",
                "230234565249577289081918807393377908841",
                "337163949865898569448787307595959233568",
                "243635500367292744724847695668289283987",
                "12785112834204839331992715096758811033",
                "218910487703811575998161360211000398085",
                "36047701755710363531452488390830694801",
                "314329267534037011416745328834754616913",
                "62209478645001114228984846230812702214",
                "158055095683246511438940182293352926992",
                "270522591053394992922924213052501628174",
                "153782117301029458345859172640049427350",
                "130132428245036630005420899727073823118",
                "82539865420166989410668911933194355034",
                "74325767560924946519807058964992396282",
                "234657338635478395813803890691398506565",
                "116709676595131009201340383037682785917",
                "220069652833417815744576423815017975963",
                "128576418306915515509793876483886728153",
                "73885164904011808464491999998314541175",
                "171184829939969223109055105971541506767",
                "271454538397598272642741100298587086592",
                "211965753143472211893040104595765412879",
                "311589218888040003432009314310010228726",
                "48953643603593619294140442664544383489",
                "290842902004131360872328335415103035277",
                "309298553484895715389926503324366790548",
                "239135493260403712639788652525356688604",
                "297502416874696503483166612050139781471",
                "208572514870429985092976387584959683935",
                "203805160101856782127026876762414960982",
                "95870294466558611764289466998448825886",
                "23164998333555459520892375445057769367",
                "251850876047845497195777839866856639430",
                "256960622290671748624382646665692961598",
                "293822348258059922559863001970589527165",
                "49058143804103048162589758908472493604",
                "316958364839887421890266936161697542498",
                "339937595109087798753536203071784203115",
                "295805543543706559287332822716951757575",
                "168059309898590810089405075404770283526",
                "183092795907751022306373200990383144846",
                "92333322546876356690167509002902031760",
                "207388678700727263644560048826522834230",
                "20656253134429380373173225000343385103",
                "168831488289756540361687267129157111929",
                "218251540377151801985754102352239997744",
                "206102992748262371009969678205159584333",
                "63029217018033407512956362569585686923",
                "158904683055884922702449070245630489239",
                "267258314012730301297563665566147398023",
                "141669805175975432126998172070647458078",
                "87056574471179195207961187248212316119",
                "115169626872391784603851076330657054513",
                "274530944982609789659094207042360405106",
                "32854416845748166990751171205544222026",
                "85775646947378679277840236790520003142",
                "51791929516626732017463723035413719714",
                "304054279145268848231775747571389448331",
                "109855575691193398448987724476829394376",
                "293359026242511198969473723465894011403",
                "17519793296735294362470807068064211877",
                "161285334151405895350801781547307851914",
                "205887499545248028047233708183185259807",
                "47837136099891160809408806193508417493",
                "228351557403465499686870194758038313992",
                "241539053956069384251970722341952285634",
                "280606444355868534748425931449933029826",
                "162224096502622529152675417335646126228",
                "4789982519122679971150877176017764856",
                "178066639385305286678942527772045092663",
                "311112882770331053926332936512674358754",
                "211974059639966936561227851804426681952",
                "122547635693463637789733610334465115838",
                "93669364803349276098440848582662384598",
                "75604266957343431927627962330405671558",
                "241054796036956971168636833433637166383",
                "96703028207801842921189326890854914773",
                "131935635368445164189869516815845767121",
                "12105550914135559366788346727497667028",
                "52421738306763053549478791704296435980",
                "181629866641302162037448376222565214339",
                "120461218782968332315134163209422465234",
                "32623490979374558644498990869082483359",
                "225671474393582849988105212252953764783",
                "188743113007252343784872938234038244370",
                "7271721419634075561633623312308664897",
                "317914199162498797255750915606603701670",
                "42679349287547031165545426248664411456",
                "330298160028847153041362719834602575985",
                "60540077925853022088089831127158454332",
                "10208212313414692994964081063481574321",
                "59964003545276821682344526319595134436",
                "337484510651888409006292994962073846922",
                "28431785060266400246014612359317804383",
                "242468836789004808963259091161400997638",
                "85110386291855552189846759084576220503",
                "303345007422029481022106391807100509453",
                "173370506750309486857199137315195324749",
                "98505534593956556624134033386517712639",
                "238795382728368326158663755770646326653",
                "325255990798827134262911166137218981290",
                "50343487805420449281051616595627516535",
                "258771896531083581592220514560589998794",
                "262161621478137053111969077779256400624",
                "149530124669358009757231433584384031422",
                "327890612081354604584651063249103953265",
                "156049515704795497386493158394962997230",
                "263204906860197069785911496082914475858",
                "7076207429252840517467174359229260219",
                "296166684867437884064408203148928290630",
                "278807704009767480866006638245486109158",
                "155946427622712043903104491838009915277",
                "258844473391016749606040174639468718217",
                "270661520277695710000573385289727300937",
                "60413023587168149925113677270877743533",
                "131391806716560518133583920592072809156",
                "95552154546257536466290851287546619311",
                "161949851958749403113824764548052155852",
                "742927084151285965449248560199659315",
                "331110049579564402441604192886646340155",
                "176278566434434462634952281328048130582",
                "118048365150879580338069122810169237342",
                "208598372315570803978852022587024801879",
                "168611520531951533841402658096470351215",
                "42655028975644429642259996174171746013",
                "313868747707036657398810098421850587220",
                "151767321031050601659561002000329592538",
                "130035090945738292429532313183940728391",
                "338342227371687391173508150973501046969",
                "198066428748655097626615440608840743979",
                "11420985266904806283692376381552571592",
                "30130434186224176452910458152171359745",
                "103470822330446457690066662727249707599",
                "132440599229370936901024495976318264871",
                "221515061092223718126459100832757794214",
                "188493080750544950784629705009506745557",
                "143418479111331251485374109910694023478",
                "25333995186316566094580202374905485944",
                "227242106496348555924619817466124675741",
                "278331351857682067192242908090931528428",
                "192553998721637359759210884398866452867",
                "38289619292746088880585372886575710171",
                "276297253005083249328797193561963226168",
                "223391075692774962810047061224997545428",
                "9375132795062460985623134233349689529",
                "31200335341337924120352427604199287725",
                "315983755972546351585698017152357570938",
                "173972556892714155483507969895305342628",
                "226410340474999309035274174134267388654",
                "331732568019233279435585185848493934828",
                "79071343489168979355144188885224632897",
                "132356121901224232030677380241044250225",
                "96999580948308949508375685666191793444",
                "155081153649799514310088509319386429526",
                "218830502023647429972664722127605585861",
                "77483624686396598700081571187075750316",
                "233490491866540444206953712970197854255",
                "227689869350169164542579529603789849187",
                "322834627625489521036170998305814359660",
                "154203121120310562852669292148800913792",
                "209332293502558982546478037014114243320",
                "198543818628984274305317771712093442596",
                "323829654135468207816460511194213757206",
                "168830632919450561257669585280382997586",
                "196497631256563613107647557862259687716",
                "42218422643236353283888284391231616998",
                "37264091733132828149790173370111453360",
                "96694389924121103967323128134622957822",
                "125054926417306068207503968826149710304",
                "155600062791516411774360543633624765998",
                "43523146412156782327735512732084925085",
                "130985322234794323507152598251785185114",
                "91093995793091457535941459278708170821",
                "323356649668138147489269672299277995673",
                "282461868813135905429808544038884157818",
                "17143637270434704548139739432847808981",
                "120109177507418188071853988033313851925",
                "112662148479790914307399586713511186972",
                "117858688326805996799031992923593499028",
                "221827853147562948495974922989243277094",
                "284275805022150271457674219881093236834",
                "35678834716308557463404158576057465392",
                "243375034432320418468924417735028028205",
                "336910579167796254599909279121088446006",
                "231692824822972738620109356461929294204",
                "323980556318354299673211968045062506181",
                "235019417233985918216275610399228695296",
                "137543324079523473705487376239706476792",
                "299840380209456204779396744959782659410",
                "240398251307256185242779604277917047626",
                "159393406667134551636941141307098792085",
                "90558388165310771151743627205317637955",
                "12593672700682918806786474079159100427",
                "56050648474412212733253434945825207302",
                "137032926407435662623278733675691150784",
                "87105722041079543582040695469518584071",
                "78472528716890030888657833841939617478",
                "228171628956564236799014896498435062650",
                "319601766608729160497165014297560302198",
                "227226348539376706448611493210542830463",
                "42787198386814442547886963058884391593",
                "210516801080714867534709871761146908503",
                "222355852276315413955129704244714904752",
                "264001312446077020564618511738694176556",
                "228379871276216932917541139637051998724",
                "108520773669845892825655149327731172619",
                "87732272681983532433157597305103159635",
                "213916549586931984834830901685176034505",
                "92113136869849278348114707420843728525",
                "302548202583136376893084981533524793891",
                "164122009440971829571348930379699247721",
                "212559273108061479644534637111545456319",
                "276214257590125457688238368242453831679",
                "332812663977405633743793427209066960282",
                "212526094077389833214571574130401613002",
                "284493094606094230964724472999211679642",
                "224024443797283683324996178975386282418",
                "43076544033297480227723329493405811641",
                "65131839432351001549408897826658097754",
                "217498502409707031109893335207694019933",
                "225559466478146081598728049323843478903",
                "258843915184955617032480730066144998213",
                "119347097300216590212990333495957436310",
                "296202421812752749575915157439479980947",
                "21426244013193870210009205699498974942",
                "185795158171905741709388571137359844878",
                "21467573585334840686770098677542147271",
                "297290640711458564551957529555159912242",
                "267705493110960168042568801983886367861",
                "339131302453365516931174554264795850751",
                "224511452654839021851924622932723642177",
                "94176984658568255322632946268955619807",
                "140714973156690081115114965448765765080",
                "249148207969161915705571405357599501472",
                "221662543437285521862812221808721201886",
                "53160685809847996665887848409150734298",
                "9260581660525262052908819676979473863",
                "162911362822200603973017316046579919095",
                "254127514258136518934352321167225498685",
                "173138433532559371604942922511079364215",
                "259472493044147350423958341681530870732",
                "292071938451017863801281042074830197328",
                "115154262022399984459453454927257224871",
                "331758856456928085668294375231223109350",
                "277621341042524628254026597633537520497",
                "297536816255366874533892498519933692425",
                "228199389238268922574615117355515346374",
                "98147734390328949092929514573458734552",
                "127397821365467748075098870451047265184",
                "79518008459345564183906803208090708066",
                "277010805981425719660716949595197881351",
                "212435607780554698860552779600077162869",
                "162796466029021742779322514288217589838",
                "52843390065755792607986253951990515109",
                "6741825238421247871183756708984329088",
                "35562639278074215785996646280427124143",
                "159078940727652877315340669985117348014",
                "91532467332633486398255064579597910744",
                "17334996617497465617543495418531682012",
                "245735561125293606366982037062129253511",
                "149491168009716749428861039446737130984",
                "287000771598892896936646079214612356107",
                "261648793271338945384125988870220093976",
                "151674459758386709736658357766209104890",
                "139986464712107858665778352829258100984",
                "305179374664987232981989876663918314226",
                "127787137336579646712673422871128274564",
                "210575106869080601222792351130505154008",
                "126389641700786637876504200818887265618",
                "137389401909592445411628104728954931123",
                "187523978397599993489310645718017519050",
                "96625462192808174788132585939208665980",
                "192980829739397217701911546838362870032",
                "73293553405836276860533136028258699593",
                "246733608785859609624528070319295289056",
                "239110281068605793894706901375086320321",
                "146541017344763237309049023560945230960",
                "14170927041309169214245543334624774568",
                "24848621575045168875353292712146557583",
                "232857712913003916362755050721142022068",
                "166684153039157401020091744970939140696",
                "216903299059870470824019127335965132426",
                "66160197894182175940494990179718279724",
                "90908830913525057449623643953149379402",
                "141967232358361818439481738848119345748",
                "66094276090181923495425833475937327572",
                "160033622627456692978193586365259419911",
                "328669779698772673414968216600357634595",
                "51585537208952594008606290700384837422",
                "213431237813245095298322886690891325482",
                "188132100474634184061850357907545529860",
                "197965540607978487708037016186256648541",
                "94491539554806960342929399408320212067",
                "285189083235572349768753406304361052000",
                "164020905652637929366900177318498228180",
                "187630102400980506736317388892516362273",
                "103252118637051751211788044317079748805",
                "313157844558895337691503979646735180839",
                "213448199178356464399599224519516867060",
                "226905410556475351214820134445015222030",
                "147863506598400303392156286908546006828",
                "59343319534254631562481788073362374542",
                "222575670806532286189233788553987454419",
                "205027186945482909463170407293155315549",
                "294654441209031592758688849264315752199",
                "244691954513693368804710603953808354806",
                "190767553222578933115177312213239655273",
                "125239250049153040704315919128202107542",
                "44433041552980143515766386010867397996",
                "225609532924548066395450709527859340371",
                "195275977512439227253044324572662897522",
                "269202249225285921264892262567941858533",
                "284286969803663040431587094367472299480",
                "305459575563125333601018117773398237871",
                "307064687491894499502913866334764078885",
                "297841418211438583832762376076159434098",
                "305994200846259574179383014470531635260",
                "304954276724252043355617716862329020461",
                "208895673944661843420993762664593658343",
                "231331755246832858128153918567900369946",
                "36756185284336994239506007224311731259",
                "65587720857343355057645921852018866291",
                "296129367409687230278092868454023812177",
                "212961377635776902197753039456344841616",
                "292338415311645441340556266148915949809",
                "254062250498383278640687115284824007920",
                "226089001154960609153602977499928404849",
                "188093367437998259105999252594533003434",
                "332271427385176681141307653561401943188",
                "92287910689375594884510987180977349464",
                "286695960759901506565383266260225206702",
                "268757173735905938304023542701262838345",
                "325870228563019975604237731467847613636",
                "97244351830415068255472277377552476811",
                "202446699446876296422917200820131178254",
                "286286858523066416246591941902982982416",
                "151793020622558170643061518239131910904",
                "298704844687316627732352194307320007088",
                "124404992391793145761885173351386236012",
                "306517634068382773043979142090389564465",
                "101974950282506276972896260708694880315",
                "62823495563554838445792332227589938274",
                "141886802928677636630055983358645815386",
                "213777815420013890306270263489731025693",
                "55602563949885493206782994659804045536",
                "250681643220286247980070048258105234976",
                "312180892535474520238961028522990656233",
                "149606949638418385008071286763840995501",
                "8574231528998683124424501032987006546",
                "219920485030715876845581978007045599198",
                "265667224740843129149839160980287227287",
                "247153394251466561237102626606837202340",
                "292941660193123257578183520494178724622",
                "46887744634747791784833317076683549918",
                "40176424392261566627025992961231519493",
                "171216071898245783178319206096580830490",
                "226307237179365563617757597093238969010",
                "269473692414672940951394509889535701747",
                "300970518440402420145400411229109607498",
                "195880388126978657335037379238762865212",
                "94130747136607039056772388071265478772",
                "154224145842811241692945122833824038843",
                "129987107193178405549989897229271815755",
                "244107591600706173159721961521842576361",
                "208512645360747514343807633294532088932",
                "65656071452572491214360603276428231471",
                "68856025871868127441575688968140246419",
                "161449571423951490624892300663368226360",
                "187402213459669664094606457554054589601",
                "211851449625508360712633588774115807373",
                "242221914670853511144258004907419880403",
                "245237994051661468965021846695038906486",
                "243075479228693657902507408528510353239",
                "313605478882992365900634619814515853574",
                "320992703230839104213685360374172972401",
                "319731325546858285782684696132992720192",
                "338453617864111254827260879945103969157",
                "293864200019494249484160523045484449827",
                "132339087148058443379407801067909516779",
                "302545634136500522272987040356732919947",
                "54208941066776069381578031135290186501",
                "79117364124590173653110154285777548877",
                "229491936373583750293580020368979453799",
                "227574935562451471284666117005406266387",
                "198593423225364044617642196945475830194",
                "304646361592824641193705271951942199919",
                "288350060878508552643158239154768230266",
                "168846553953184036323252230110329649099",
                "23629563183122959217862621155408687873",
                "326464233567213486759178667998644020735",
                "257568803715355989545011425967748500158",
                "206263052726226230715705022419589224591",
                "171188054653932363683127040283819121060",
                "222502673101599443988727910636239359054",
                "156658949620896360545120053907847872914",
                "238198442235893900596148198371717141770",
                "188164596470814396837512679806629049098",
                "170589104855039676110496613501395812051",
                "256998490875478322554343085213693555607",
                "338733851703373835914846501624642301635",
                "258478429649046532286532794887208301378",
                "137273639962129975710889351649852920440",
                "184961866107282633702413923153361354739",
                "250547306324387648732232931591027990487",
                "321852270129779345734740454892252717124",
                "242488932928327202668709314127615745372",
                "76173264316356457385118309479365217762",
                "110538915701448794536777436219734860891",
                "243357264392767606641763896464762350641",
                "313267217945966298289680352747861560073",
                "97392742565743895660891502494941913592",
                "83899354219557696465312050253420102913",
                "337011750430740279538040721299212919302",
                "54449049535339089209847228596159650749",
                "335972651930609702110507679850463584103",
                "162173472710631261194320997078614565390",
                "53099723927926918389320318746786989212",
                "205193453126340979221201219716377416597",
                "128366151672231459516234028927310567883",
                "32244863806216893948371147912617723006",
                "140035898715367687881151615255816664982",
                "316653554305386883812709857457192459130",
                "327622650107387478602791534381142261932",
                "194506313738991553565138517508658800605",
                "155779446746357570548072797193198340158",
                "302549478625180566355553696203522394813",
                "74368413973002807679687289384150742666",
                "261591183341281059058896563569914156889",
                "28913725343654248886877951172005642171",
                "336507824703139450962993755311829603179",
                "93409925255701828303927564706428300357",
                "13578314453474798510603426920972640471",
                "274087947456765162620468138758436259797",
                "214497964228215807770416235012955597115",
                "59226960266730670715288578407831208852",
                "16088267657075829172064088907632711052",
                "55079128532966630407941608194075047900",
                "53223205888283111036238228571108568271",
                "226956118873827930565050748061468666789",
                "219369697560051510909710958583512664949",
                "54440212356551408654786295742619170087",
                "155446353242194700465447258122311230016",
                "110955463005855700584442912800919976710",
                "131746261968705286758276990350883044816",
                "251817046870187876861856922610681527194",
                "242281544649982239388900365705522558988",
                "136289605464284737871098236615201373397",
                "84276788583091825201642002593360986908",
                "234111758284621292681238998560900379016",
                "275826327270941454438196534382860200701",
                "181043629754746689260576670910782576271",
                "69484163613715041916579294984344120710",
                "142973298849710772371824174472013892872",
                "65699493976774684063209266910136865653",
                "223962314055061453949479987404827639153",
                "250092984424309805644948819737846972390",
                "60575013175712657566609278218633006920",
                "92873385173303654277547615392316114767",
                "156032205623972593570406872209291357497",
                "306446773366565728903980076185582526287",
                "177354461257917628659470210496905001976",
                "52517351313688106214772576972398911443",
                "313871451670132615390759644942356554880",
                "246060295934817045771359259074202049485",
                "103719348581069791922562275401218519360",
                "322614000656170228013641680073985537135",
                "225608936931690166523518284593733602662",
                "243796928306270116158011636986942395239",
                "190410728196335594860184848313824209050",
                "117409766329484743587608165766005705615",
                "238737387834338054550837153987549547849",
                "180744079598271429136936678135260524139",
                "130304348144365378601428752553478284140",
                "216168546138085820952582232345850242344",
                "63639406998935080332577117172808839689",
                "319188824670282145199024628548958918656",
                "199552602299357637428569113799924977665",
                "49205515551032778016009294549179271300",
                "210256480849033450733457427713098980564",
                "86244759095893326555321591797158322100",
                "283131049343657290282929286985007327927",
                "108028140078021356393042485573079873333",
                "170374508872368970882238821920852218747",
                "188185995581303991102346657970728660077",
                "328840193957392501574050222475887945429",
                "157253037736062192162066665241301278877",
                "289653160193478407550178296564107593065",
                "210421050898263147292625030010379708237",
                "112741458695609942694658258678143577881",
                "153233538581199721101528945122803585830",
                "245746230540546056524005673350175572164",
                "337253344772928423462845609444093668240",
                "329480060025317585697635438850144519608",
                "223576419556904818460751608095200803054",
                "180943870139807409698885271342685059222",
                "7703236155780676779899090840299268365",
                "335345301788450642631604285976804275350",
                "249696432089410737413577960664164847519",
                "98575681951974370104796002770505192516",
                "30430793964171629993001070645955098810",
                "267932586767949474447027853689894880568",
                "173772644111233110223541130088759651154",
                "100088967847529009495603113286108958441",
                "152783849161974731197905473603039881473",
                "63011588069785833759952168630848626004",
                "182183783272301117883658824615242973408",
                "68114613807815949449221552509117888109",
                "32219448949630644217141354143801740342",
                "198961887546181164766972721138962617873",
                "123814057004847390937818110454244262954",
                "14871435414751352670054407499596064201",
                "6699510920816796493512187279242973082",
                "64927174275638102986137752007148660955",
                "104392561997273795328934570224777202698",
                "311473440791243944371922705032248465072",
                "7572249011448390558803062884722275510",
                "339032004702092733429793997098276133578",
                "249063365622594666534207864512097127473",
                "323678091020389420209765480628841326390",
                "75096509147808775803767268026053283117",
                "38899671525740645248810746998997942009",
                "25406563977263276553354061165835961488",
                "135435800074051366287510715329891500911",
                "119780267684863264058340939968820136472",
                "300463239197834062160256516641648854916",
                "235161760860213769188111286160134048017",
                "302996326242135575447063951756885737261",
                "257519181453800176296728123812735054190",
                "221252990753133804731562781716276380837",
                "160570736146740795643183678362361476021",
                "88640385694343672452349956454128985177",
                "296501754957450664974689064012469583825",
                "1752869474802281841645061575156177028",
                "2131917794424394993513546061319508492",
                "81679003726995861954424335304432621442",
                "215689273302715327799870565974970664028",
                "103713372225781559591382508904399632943",
                "162310236944828872286639335309946096225",
                "271890649508104911241153396383246416513",
                "7835203369867112293619633067426040551",
                "122472202430684640868774037981067602620",
                "307666782266071423520867523516213397558",
                "59290496632796987632456352448732966358",
                "119830445832489089773236493949878065292",
                "238663656297768496297096158155236622138",
                "304560865263993118110162713025862735854",
                "193970270517182610021623341578528820779",
                "151035012315869848487946624941388685549",
                "273770876023862098296127565390717652735",
                "157979381557852682455360183939521892263",
                "308337356428412344501002181628900072668",
                "232556949849806692700754631641026827755",
                "268449928622112710172535433833619459729",
                "24175435426865382589934623499383520982",
                "93592728751879978450697191438946241151",
                "177206608113016264989320242695182294451",
                "73562057488918860218863491776103949133",
                "259773544327694800913372885107850956605",
                "169683289619206949358472126717233270214",
                "88580039514569123589158601580019319612",
                "277603986812776249858799753506594423690",
                "323491555437875582260736137506174752488",
                "185592457640675527799368031104056930552",
                "334730492739482395302110896292603846647",
                "203749235057389069560421446723412352731",
                "114939760036522822700710625361303867195",
                "114105421831239490741395309616927359530",
                "320607532948646884475246226387968913258",
                "155635635652033833048655953359815401698",
                "182340959957091768451418428971699132951",
                "238704050499995277619713410185452135406",
                "2548072918520254325065631679195524104",
                "129951306075274688835203783845958804345",
                "8539282858189369962705861844989966185",
                "119299515538466592825136263098508058531",
                "149205791502828498547591268561409237161",
                "214125100239979802430138243726359510630",
                "125564455013616953048887655082851105585",
                "256619478148530561412790769843836885840",
                "56502968315366873741898460810623477812",
                "290622297488408254930073421934082994906",
                "207580810277017428035949331060931479812",
                "184369888563021179506733116495233593120",
                "158111094320307109420313717417089467760",
                "327133719542647991493355189449668619423",
                "135315255944025765597228981635903384628",
                "245868515581502498767717303588219766999",
                "78220342909180282042203293923957060227",
                "202490257200868239540793250661075537914",
                "76593000477353165141106847822840138471",
                "336547368446724450769672968348472673116",
                "320598263068162872210543683108708141155",
                "52894431022123202032045379795701399051",
                "332142151837360523887068942737529255904",
                "188867240834945435482585808462932679955",
                "127592094903440188479357432038264037671",
                "246113450442966536007373095496334270884",
                "2243564969712065465004631658899359944",
                "93307743373451105112526528224616263223",
                "143924421164232060635344577597991503877",
                "161369486873471601509884371882015503289",
                "235737012157432745787911130828034354402",
                "76507085642556046743846030219051357912",
                "230596227312656659338852272374454244452",
                "82354523368456778522378228373835393664",
                "265760274034455361546689351011370687700",
                "251531240013865619244600740672413235058",
                "86078018802099616349272070216817320516",
                "62625646440260278608782572501101850073",
                "304936687026074007999162226239043760477",
                "119589400147374717751255351839422059216",
                "184430491757704999341096995782258571467",
                "235997246070459494302590521653529133738",
                "108300112071440651483218721971654067883",
                "90170836824183756271914138342980808269",
                "176767767188939597654210604192959013127",
                "313997810326110455544293309087774969607",
                "208375034190641538782118109640987015959",
                "32710158541603141642278977329513687046",
                "203123004305761745622241009715826417269",
                "1072588992230267535514799086420834815",
                "145814648617931320479299897212490457287",
                "175107708591492004422708224976474688076",
                "143583745625268488881856438280754485159",
                "224685831031880072061843251835762474061",
                "288556754112827454689402919934874616198",
                "262585802668156105915838568919127326727",
                "58445898503933553376490165317139749963",
                "322307776379732151131363283503105182261",
                "61998559762826149236177332384352534623",
                "85166280683417182801299732648394343611",
                "65939819293769972192050516429446296896",
                "334488210230315160903170554348827468606",
                "114694107077087270984778369231811784818",
                "91027342853451657540270003408256811160",
                "177127899594042425346995742170706541715",
                "28455984296847762583710797324170076200",
                "111940886630068123646886523414518063710",
                "223655164025251392897597204103482815993",
                "157758714994673655040210782593240559692",
                "229520138414211619473536573324842399813",
                "128641790040107991683242242406627517497",
                "71153511346069905791992402338346303239",
                "29264682742371383245071481424291095611",
                "172733297173290679019320720915581549513",
                "61410497756696392974070595815980622041",
                "284788964451665469496884893169681459638",
                "103606673064771584380045750423436233754",
                "172135858788813227930967680247687798720",
                "204709671853294142446567603173302407639",
                "296684774261579037964998842297968077088",
                "295753327678643263348451419106803723896",
                "155122450172998614383617352660446305265",
                "181405202549698507030353876143285808210",
                "335499663738966888121788168087709368526",
                "326754243862449923100092795888745533025",
                "150428333123388477054761815786154612073",
                "288991297544634590449677748434812844113",
                "335307650241689879213341155215073766309",
                "233557591587912759836646462246418510495",
                "284484128616736818983443387396795736642",
                "177077774232369818699807307001296438138",
                "325715045516719137843797005461895140946",
                "64203610398615679450199370629294019889",
                "138914773478588599729259109379268054396",
                "220222579572148313661859268193580166270",
                "119656158374264254301767242769370112589",
                "89434143382205819353983742054093553060",
                "63512610991918130879465153867791844313",
                "181916156558098439519709356080800275813",
                "202520963764269813590412340002479593853",
                "232601920335257810537897021157383025095",
                "156302663019285391753841252408605237639",
                "96025194247188324777262675840806884792",
                "261015402060990955160301809331678130132",
                "108081790223608475897662561195895430736",
                "222115232103968625338671518422994603982",
                "119786486269100587142821445229296273825",
                "183376960593824901209938261822215369426",
                "245061294863467539853729274281661712526",
                "277187443725078248027257286748135563123",
                "264209734247745652856545321811323549191",
                "211297036551957716585159200328970607032",
                "315728196711826149379227242452028197184",
                "160679347060965097122325757037538657383",
                "325133623487855542806195056354437295309",
                "55074085194243892300792977019101580942",
                "153912177859067467453636502084958752732",
                "53623393716727308328908474795767316315",
                "191818739047068768928609970940555367938",
                "211512333007474228526594444300700129634",
                "98222710256804895567222160008630709370",
                "304064723869788004079653124658740278051",
                "292925752227233011472857260296239589225",
                "200022558263753372780360052401629785202",
                "11850275656758761560800721623693303157",
                "130480165821401525201404922772648364299",
                "194162978463191715488715214885925821853",
                "39336719386201014782050665481381842736",
                "330716877657091562951101610422793624285",
                "336653607856860188925450244647272698580",
                "267417142611738015352593456851573222444",
                "231145283655938373295372395380056288603",
                "190508038275807892438099421323409568945",
                "282495526748517301150619801942094277709",
                "293560868197347497384299305422829567518",
                "305602779457073597146707890795293022382",
                "42873685840410951215292896110512683190",
                "22391256001704022236567050155781820934",
                "102702507820176669365540140251799409850",
                "229965101398604866094297406505782271367",
                "32065472279137656248705462928141900416",
                "201843915897749212961588549799474807241",
                "101857489110239739379070428298047817349",
                "183732767579075230311999645551536059751",
                "218379181551808653287123442725359038591",
                "213426942211843991447290967094541535246",
                "286573741544870390810387394908088585311",
                "105130582860255719939293487761225001865",
                "248370662411738601175737503880874571349",
                "90779314389479835354719990527741117407",
                "205297088081006812647650062824587746437",
                "237503503517384634808549136567256454326",
                "174912121876968135295752015461053089222",
                "215861580191216366269226393295366837898",
                "113297646881571313047219327072913281779",
                "183580645303912755924988492275816075545",
                "313554644650161145464967710473611237701",
                "325255052763008546918300363009664492104",
                "116413129218096182707964100238364496267",
                "118760184305703362928857188389418089523",
                "32981431067717833875082695375618349851",
                "85268369193956848835963825002239665915",
                "330163940959694495783922642022711051533",
                "153321616844382925213690313304693726125",
                "273570478900038999553963021127337538931",
                "64753614002951790809789551069817645023",
                "90610297613860908309864989059525944559",
                "156994443673308746507422381480539062371",
                "307857473692248180419554818451488968715",
                "170595549292900258026231550469979011535",
                "77559024536602744747061363341931365016",
                "33972755260433184283363813034091775883",
                "109998250505549673400263427708778583491",
                "228110012140933484513526154477489749612",
                "305571974424989890751897918419852101592",
                "65033281056121426807668161747156390191",
                "240602372025303516072666407670136058502",
                "280488363399846831888586338414817228326",
                "135947991240928049796646349999666520044",
                "227168969052059308012628732277744330887",
                "149408540004862372200189611025181744384",
                "189453198948035102753854878340604728609",
                "113058877888429735845713874084647212675",
                "245683250341276406973338472044124271517",
                "272817085763061275264855361012055196961",
                "230411062602982470376510099699869614823",
                "281491696055680445280569572257650674246",
                "119073444329190605272662562739656706701",
                "194103129902547757976351926869458979401",
                "166742320775866584041676848877979768178",
                "38229470140672846405571596770215151455",
                "96652444571583678769191085361351269186",
                "185838527991202617527162463688178505068",
                "128006939285286668738210749105171891371",
                "27502119706996428569495650906347446264",
                "121853746043152229514435786633526411274",
                "339804715240517930912094232985188855016",
                "233553246475207594661894404622006356824",
                "140531018689655095669659024074387954299",
                "167128265388232287566757236560586576360",
                "16986145886022121474759200890888646141",
                "113247812085127263763523463941203731325",
                "103279140197081314803173319925081545721",
                "234947881262718052850601313609195192017",
                "244192739131373479104055633509850933657",
                "9009444322139642275595416409311266382",
                "203553719310817683298539400857615535063",
                "73266535457179882605545355782509702281",
                "297399743790972314306203778822379107849",
                "8436667228901965734283799575116287196",
                "43576447028107312638967834672304576644",
                "208024448677139903665053296259546085525",
                "314333234457220781221069101872867025437",
                "36275354290017089573281282572450850466",
                "112584936719636911246372384267649116382",
                "222304179684209113407942813692291671204",
                "181730801129214255055471775392760663405",
                "43366300677951512999679097511358735246",
                "193558258759832804295611741315704993268",
                "45073970178132120593796196030924290867",
                "247621017922690890300298730416203287537",
                "11419018482779638875774778997641769550",
                "123271151729111422325254070026830299216",
                "139448005390326290488405710859909150445",
                "64715392189650634656806661032602961752",
                "85101567061667720927483503295171392116",
                "204959759637179820832378347061629668643",
                "6896980240241025549731130185648454211",
                "104057402832814183248592000002132081380",
                "196992103127972154373228056157108690639",
                "159542935221074048094986925579332740656",
                "68819433818781643751217990985656545895",
                "171398748137269555856044314929324598730",
                "131059464174531027456117853814878210592",
                "236171877131192861309521207153747387595",
                "210257408666987707755979018664398749337",
                "335218950285798803306490728473155185346",
                "263707676808598670037676639946551101143",
                "52395292085010117814156895160336232952",
                "297028333837883463065924568674526698694",
                "212176071510127439418163515542274550215",
                "105084010836866185645014690332882584984",
                "190675415190913330353860361937328133315",
                "38924875984145560690504161360100075249",
                "125523836190167706914461700671981989446",
                "19911071984696722226870948948955494754",
                "81924715935413406074580168671912911320",
                "254026801952286595875780184622750951059",
                "64166530866277578553377818578168244470",
                "159157832110824610801358790343661887855",
                "257990548268982486295190359142222551866",
                "31175610742011728093056880664191699851",
                "267629098998954559983498002924497900329",
                "263498771100623816276387459296649943191",
                "197078772744987518671411271292836081655",
                "125121086875287356029013582823539363865",
                "183747517767746992891479254728111448929",
                "211752913076903052947357386999928691050",
                "10617456916187987520465247683749205812",
                "137566140867053621578053072211454182032",
                "58314382038195827608183859939112937788",
                "63609203901120150415157831150737999463",
                "96208994735129319135819314960602823607",
                "213140969515823653030374965937474759982",
                "18944622813838762938784760602804601935",
                "143388415177205545782610764951651881597",
                "128207051342853982792980085389522247957",
                "265583793356124083614148006883442657435",
                "146686938258651579951518244756971118077",
                "192592724086877820654402768023030613499",
                "340190564545955985155069777935314130909",
                "36243776526315070273168420070185740867",
                "299794104795348441483741595147265436609",
                "165593826939411939606907806997925481128",
                "92156383752323438097487378064121634588",
                "25182058629897108188042614966825868701",
                "13280092129451359007337841578753592020",
                "76508799595992723421238010804761162390",
                "64619927974993373693563294544714824123",
                "290801124243782940814689028844695499819",
                "70235434547701303051894996038881250189",
                "293676014011375479806169210711617104202",
                "193073867072799831960696587406971069984",
                "160175763271320336665973093930222234943",
                "74812618359828896500695284626835619053",
                "279791425940778069977510284750074629731",
                "128588178775601213021777529727053952188",
                "37276054052474930635794021379173852418",
                "19767231590688499975921513588850110351",
                "122090688425975981116166812629255216482",
                "282623988961545738788722371553382445295",
                "188700082306319418442582283616588458447",
                "207196739563612550534209079196316192884",
                "111659191262601868248993672973643620993",
                "9407111379412057699251015236380899075",
                "95655453364354483898228570925979283000",
                "329565919246656416794966963620927500585",
                "72269134677362417414028708500180347655",
                "163193536333457793949444866882823332317",
                "192254294186698985029506307581779875493",
                "272370050379839558622101042688185208204",
                "330702215972432707752306046756903192809",
                "129717721975974112701232501937828015803",
                "76107017540376689227780155911590477803",
                "274464362699769579169755097500946587241",
                "69360931700541332125846339557688069821",
                "176518422569098371302243334239912302366",
                "78949319054566471572138983603931661779",
                "133387350671191090453182386363929275946",
                "188477994731540126080520247645446828405",
                "36183164577853159975478888791857421908",
                "82232054162410926477567898695708714890",
                "16956498734010078859920705134960547126",
                "192817285485684783700464843042905308485",
                "328078302124513084504559708748098463835",
                "304790319862570395392257719590211212944",
                "48735635663289141518097897958477228063",
                "245484180577149062509588625519368827924",
                "136813713499217294418500225402670444333",
                "227917239025627670016023259955105736207",
                "115342965828166007557252102806101082196",
                "243232781731963553751756894867143823317",
                "139528544995232885410185932493218369402",
                "134778748903844454985795869774830375069",
                "6452665387760740404753632898328715079",
                "895996104882178870647950616844325263",
                "119465777715958600618625344492682423593",
                "15798438042703591316231945376387904320",
                "231471901149496627512533378115043589698",
                "19750028063136556573973307824763148715",
                "95710293531647810589048771191943650328",
                "143931096490225991042819623040299591040",
                "229198775881737156872534032127553767828",
                "155825838025280947320095314434094336360",
                "277380133663575396596503653374762378380",
                "107310277613785201202949986656261317659",
                "237282237648423659204740126009413184684",
                "12952354939244958108933058810973360201",
                "153967254087547273481886202722913215821",
                "317504755824530022962379131550045627639",
                "167036807991510789452781540768058592693",
                "36671643409366376851359047146061651589",
                "266068557758770954342167445499430450910",
                "70164593582679173020749985360221342832",
                "99017740805557937525191384508147374259",
                "149085080691007262505170361957075741549",
                "216383562550560589136533621266591625274",
                "326518655192437573095766968783358160357",
                "193764520919844750828531662956540306159",
                "189257805380645088520300592257217788792",
                "81851360870562311402614282606195294542",
                "54059673334980221353617368177986777837",
                "248714178751405581131177264122981876073",
                "81854561786296014300032456228633435051",
                "186112051054298574568978161626772810867",
                "169559468869234129884703989431136482150",
                "228039959462567847598115642459072333653",
                "161508379609081217535534216882279495624",
                "161815719941037628952962374953590779032",
                "276109329902262326028847218115580859204",
                "23369018198020049225890788080491086713",
                "310472335581667265571447670495552828933",
                "312835690714121192521237280844315552794",
                "202837161953362200604863777013206716354",
                "317054649245169542138080222097064712728",
                "39989186952915442604671053338267197058",
                "93610086134859272341484830144454452752",
                "314368973929353022151590968449980705597",
                "214445489578126503200854124918699833170",
                "23497638645559686724893975024757512242",
                "58652772196217669220901116736397751660",
                "213278552372087911329451455573457136129",
                "236947452669258053028859252228986329058",
                "274009846384047091284399056750220750159",
                "293993034241914358277623398655800000766",
                "239133679887582054225912414806371622155",
                "147241167905349062028539369421336027165",
                "191657682243658109032474962516697922664",
                "10822238287278016972834576949876850294",
                "150021948204251681230543478383994315973",
                "120999309683030080098838610715242760537",
                "93472991807299735633269779626815243176",
                "91933653602120068958630560045314948685",
                "193902431294445173748469433554425344962",
                "159647202940710984002542926263111595372",
                "108592739697719374890756495800715926915",
                "202377325408409185167967478097726394138",
                "120760353585941191441052159916511764191",
                "63024093918263370974114974340546153665",
                "308863998893752987811615326894218206350",
                "285847393596571678682725799823746586294",
                "272273633699558075916236650574286167539",
                "172131971046236067909206944920208335830",
                "191403558335155623436724565919040538551",
                "103573093660366390246279390327751466923",
                "324454581804221089063530670390074161918",
                "19845502084513892503234323385815726216",
                "310985612942582222652886500819575274830",
                "87831100329800129248308734899676175663",
                "132900122139918589459441723577360660133",
                "164857183381072864790504843593678345374",
                "92948039540704988385387790937919863536",
                "26013521592040744377223563468270239234",
                "207302271577466732202609479633612857021",
                "262293791363636728328266926786732041676",
                "241196486319502891225898531301307013887",
                "330216211097110651423489248397764898778",
                "179963711708385476533415507433732154813",
                "134781122380326847938647238853492103226",
                "339312192951081334049730623603675009024",
                "74138656330651545231153064677954068416",
                "320882952801610595509411015879697083029",
                "82544332438649067621415853752894773800",
                "2914771353453717955563370403640257482",
                "168617483274717247619738980686055171780",
                "305083748458155497548698406593596300850",
                "253405662993657529583418954544372507237",
                "330731470669919378665017151127237891297",
                "153442547535359853532071210115320950911",
                "299934432386155380545178049429970023887",
                "91231320468396156603049447344500857448",
                "286486180011615992685829926870333629886",
                "224649358662840852632655524856212955536",
                "311810933219934348717469587348022836162",
                "328804720810339243652072794391731648321",
                "339799657826770373648961067634399851738",
                "11167359430634285577474229248670009412",
                "331180800711598844960708623965281478506",
                "208547612124845867922224235124513992840",
                "275730072251118052032901412102162606095",
                "149672361060401307654782263548903878925",
                "294117343693888616837018431123250951557",
                "297783581738733498543608195484390105303",
                "284021086390395225300261350576479273062",
                "271592398088902625307723145133976301908",
                "106193359225002330077340336019398928731",
                "115120413730747387117484565125302465195",
                "99585958856946455831554035665039528236",
                "138398603656554127894879283691649189668",
                "221321219403689111758168210310405094477",
                "285885192461307832177043677489381960558",
                "206172828183668656954334558156595917771",
                "66122962860945040544073506413070325410",
                "320649499740119823329160167555605237503",
                "9017449200984693569612784897392867991",
                "142095037817219806130025995111472722561",
                "140007702479144466306099466680570958922",
                "302902394747953105112285374906861317316",
                "327297340338966046129795196059585272524",
                "142122125266404706762576740476498208412",
                "48963954974772783531565284321756620865",
                "263442591554368324453092426774414093532",
                "297698285457365085349997029758025686001",
                "64692145159043108023003375266638981317",
                "23736387042208420687770349405537638263",
                "302896786889260380552925580626996169243",
                "150825771763873252195173873617612975160",
                "75035154541424642939547819210355719781",
                "143527327621043935242207763111704470789",
                "329608920285358047470732910121792942735",
                "272823688699902945454905162029534519931",
                "37016348757932062716970780891358553030",
                "207924356525241757219568472752626605470",
                "329877426817602018790487383260390380114",
                "68558326344631282302357980052142211375",
                "97682140724491636719827430260130220099",
                "301607866313552049578476282860883467305",
                "212403799867505069977196215334148324738",
                "57381978324180835651789363679711761501",
                "206563067357465724410648523167700701862",
                "74213134157680797122512695592794026633",
                "310185861756183341027555147304973596352",
                "203893562463991907676309157909360867551",
                "322946156623704116104467987281268242707",
                "273312091046518052446273883769977711754",
                "40331425743969878680322857272130973886",
                "165323398452991074612968009554505200679",
                "44551573276536227485812285229686745282",
                "242419954729476821721033615562211237217",
                "76460448517934603262799616987522629631",
                "187857500689518872304527252236669341078",
                "251017172961642735995546572529808280165",
                "109568026258884092519290578930743079378",
                "270214908142351255225427097783820587273",
                "2143633382210231513470919687561778299",
                "62931999424379014183626421428419367363",
                "62193995279128357288562032852182426026",
                "50655526766710443957664564334680505704",
                "305557294050145400345016879237701824456",
                "166565829637660141957039172391628390594",
                "219885955223994879819656076409619923259",
                "69082586255684547540309871247749247881",
                "85200296743405120295420591551179537148",
                "27580622013318675046202143939664980962",
                "169680387818036644139911354157639825907",
                "55160641502418770457640985100918793888",
                "219127900969832030822316684958081604625",
                "119883095203419963850539339599154831799",
                "156297876963572368549687553220981795050",
                "82813517260703745558327407557886204616",
                "157870009530817695267735699901743307610",
                "37887239501333066210180797645288944297",
                "322259057410532212455339211226074325379",
                "139836830368628030297490841082256631330",
                "312325660140803166008485527001415170660",
                "274614688535152690742109777552909255703",
                "230125380504656352072076949156487930841",
                "143315621636025259933979939241965335071",
                "262635691915411132752946217039973797001",
                "250049399603896997426598017735857188440",
                "241188377892868873833268964188994920074",
                "288084634826291956182487384977652853888",
                "98500785299506398052514112500934139418",
                "106057014075195789574067795450260394535",
                "237463990180092576637673964259642436193",
                "184858453378774788375720179067296077146",
                "286424664302052303310812552411503771758",
                "73992598169464498269731318129592021168",
                "290339041423449871041285316955582674897",
                "123284412738127039193180846147840707008",
                "291977956419340584486386193561227982207",
                "230526143488669640155797725667876609073",
                "78354577508755557250706144579062848304",
                "80147604568388455755835994878340796746",
                "65595209287734992126917426513023207994",
                "328976101354723856344916759983525018003",
                "204466500036275906462805646131662799402",
                "258247494559799866581621077159264201411",
                "105474560838489659298285312296578092402",
                "211516301904287738099786310716777400257",
                "87068509144001714165029635538582563234",
                "246536073383241340352063598883147671654",
                "268924945621011510124135186030711270403",
                "334131813923286264071886636984866702568",
                "159282521570919216808939818328505824559",
                "80320052587385915530652202641269082844",
                "136810428114209170151528879885869269483",
                "125261011526475761594745427948603275003",
                "293673819286652643952590286118476070760",
                "259646009983443606150507453395549262969",
                "320327079855999742815352014623320901210",
                "150096211810112788047545422134560032696",
                "60930739400221589999558273167218076339",
                "35163951928909639625924851314934017867",
                "102367173626859866391082631771181811009",
                "52673777700161743091790626044926103398",
                "256768046073999296156653789527721487314",
                "241783414624722493202035392858408749948",
                "43555052500360173241426239047295043030",
                "300677560344432984988176001364520130791",
                "148664036464906510085908610452408982290",
                "149386793105034934342192260088164886134",
                "85928183224285622521281121319291117700",
                "104921262237877465683081852617602761477",
                "277331346055304644068403172139873613484",
                "102385920400788765334691466045647744122",
                "199920817368579849914873464998541987432",
                "125463953310601301799140940745918945598",
                "25839024204647337957283098220886218776",
                "201777484230597879038034107909239981435",
                "23010609996822170761472987893270118942",
                "168126346159051287398392647854478935996",
                "452786992651445384896502673703532636",
                "54116796534469982264619259193548182015",
                "190719946337059219089935296574237669163",
                "78312872070080578251006584479108929631",
                "304643903580939540206517013836054732736",
                "311740162466009303520845310800714588648",
                "127329874040939757512016146869090568538",
                "168548308998929940599362708388452489922",
                "104750040101622752679214816552138943929",
                "10377955897438162850786101418899577879",
                "305368889527684235660019723218746140902",
                "24668412045036082589735816983293878965",
                "35612716074437294645812396777968228324",
                "3052370622600635419906688835145088232",
                "338081423045165365905454104465286831657",
                "300341127969455569465578436033632720971",
                "248867867370106332218339545862245468919",
                "157584472914598324214666823688643240271",
                "35858889139048853729294373768504133953",
                "113413108802285017693735124102180590709",
                "22370419470419461397373821768135535214",
                "219691854404419665812818268020936450476",
                "31706279000267685859596002505480749424",
                "126987918887881729520280102124075278781",
                "22112005643404469239782317542191162674",
                "124703675650630323661989368223290180142",
                "211470171821860010835473487358495957340",
                "133352588592565136589209954690432458549",
                "210519596326539941070004933157992903419",
                "273505698842288164674274255713071130247",
                "23754795147972752988148338592865405455",
                "218592235725587438458738667087098751333",
                "53969525257252325868487724700585463818",
                "171823389527488022617313052112377298255",
                "300641577761896094441063462357451113287",
                "171740536864640330642211742494058293228",
                "296596949975958583274565212549421517402",
                "83677130722874282512654769094072907610",
                "68916345202603488039147779293819877693",
                "156227744246880873911968054427665515473",
                "141198648898360209519714337943117711585",
                "35490100588071531031972695582972393925",
                "176857981212685177057449863330887719607",
                "91983989564584454833794682836796739919",
                "37432929361154934958857714037602723589",
                "153346673975801574668182012234142546230",
                "144647819694302612092559735236856917202",
                "24662561606107126071931890844464083077",
                "130959065727173172426663458929877732922",
                "325745259652256622952529792581455330274",
                "266418010946570901562546563459055657263",
                "139962482352181789321846595787490116386",
                "64579348034078198657297341255579468287",
                "328821121680382468417158240670265442840",
                "65275666973144907741387763988253526932",
                "287408664909126458514551283369863309354",
                "62356299984447235122489244037823924391",
                "78383569648744526756133737200899643469",
                "271362886148162603198074468638985244669",
                "129258569747502052321386427639965312196",
                "234063648173016263907556564485891581023",
                "203528697234421644030006546419500362674",
                "32489978504298339960977982087910048850",
                "115769171289097624210744580154135794619",
                "106625218493449478167830764050298647379",
                "106619693980112812325860385269554209506",
                "223985838770906538484611559587731343778",
                "73676131061749341886344388883659263745",
                "248022227440183675851268628641393944674",
                "324827635016609889503625259193243332775",
                "177320441776587661695950713525532449947",
                "236259629419852799321813839028831275291",
                "95011160485481531011908421371115731897",
                "16953365751615924944635058717399851859",
                "275807857710568775877667541840428921805",
                "245281316615705326396766511361757798622",
                "200382737648500452685105930456365841830",
                "171344768142936117881711548653840175907",
                "216345202886699668096989332867532020314",
                "222787891759306039735853358243482213825",
                "163216613151351733711930612415839410150",
                "253376536248884264985029668693781714987",
                "102474638430675329254623759407558108693",
                "216291665381940986798519660514328401617",
                "183706385224436675439506915756482445969",
                "238117596221933142310040893289821768012",
                "303419841634381525919605090613198386711",
                "297757422883559679873967345275135724557",
                "302922817739310581091324142105012191232",
                "221480747309941090925939047867867052432",
                "38678560402265856573675389005763143998",
                "217105663362236454816029608687345518838",
                "108435260858054864239027548931764376568",
                "134245108149340035986661997727051634903",
                "9824259800154272258893595437490795192",
                "300692655844714706802265474565983094613",
                "112116231148061686568600839425748404",
                "104024178557568573502548301648707265348",
                "132887960495818863430777419232177426375",
                "143710634123726294905951182859748675366",
                "112244531030850969024921391187355118990",
                "245644303535534714773795341785523693727",
                "153892948581517556863850732102520183397",
                "308412840128168608819076470073693804215",
                "57504822363239888414963540345989249926",
                "293727258120830159218034987233721754035",
                "336061352786102386168730485762040908910",
                "57979349371037047032985314507150103117",
                "214994986473194503668405862905276012579",
                "94069330173106371040366924711244794113",
                "250935460000983191328502298980241010302",
                "316429234029297983918166451000556672448",
                "61370105768372930964932420751835914838",
                "195238638522425919435884211480553252510",
                "246542658979556267491524313455430064356",
                "140025345877464962555734492253791188686",
                "48902451251895918309108553282460339335",
                "289018312070597700235981870869983912925",
                "326293244774859258287503760547798704034",
                "309520847406389187405348486327574242082",
                "41810774320623649812306924452823423311",
                "280603369757497801418477824462874297302",
                "152472003225092087361011694611806103699",
                "18597609444500940664429959714289550790",
                "71090297263123697585594499770431982041",
                "293288172778013845676014114580887068801",
                "36183300153706021567698530827366479694",
                "234603380080029977030174227477265708463",
                "55235005959201445219986668641989798823",
                "170669658478113311862637093522847326589",
                "281989948154231009733546714531808814551",
                "122922490221561545149724644264317594376",
                "276553816768268635733266630846554583999",
                "67290923411500161459682436849116588483",
                "132634209334452370964904960151593567328",
                "188410923074309149730681432639268859487",
                "325700273787610794531201616511473856170",
                "170402968065031671152122202844292537991",
                "42977602210710862775854525236170602412",
                "159159890760222887185358974441133748270",
                "163560349844869782656553453967883647522",
                "181992640320138251842441657484399159729",
                "315422677495271215986431242089874414406",
                "142913862723330725351967894672424792153",
                "228154397954814006375289957229180031600",
                "323057772393002120527854053116373451775",
                "336338868377172517378263430463173272313",
                "53227095751553271249014306319843946580",
                "201104859058810668027522745829221831539",
                "74982221670053509645424417272215340454",
                "315888994729241923030469183332199539261",
                "276060954442335054078156660571014920550",
                "275213853633120175788210645767781605628",
                "293224270995998674102048007903046320664",
                "297609450943529500412626753215221221647",
                "17423711396602365767556121686402239109",
                "120714504422426515133458414929675665389",
                "332221454021890444567932325142625830516",
                "315753182544751616868703306245164985060",
                "249686653294678379534619733299770061889",
                "169659934771426183014311295965160812520",
                "62567692505391688010783005016763405207",
                "74204608770398373544557138534801771935",
                "176668809588639751460591483408358658140",
                "259975319066461481219433405032957882409",
                "171865518124219865497170403160338406341",
                "153776831692002646228860287945645994012",
                "310733361994360342876149797924317514457",
                "297603309086670505267438473629342920593",
                "195963009432347396657083879649418194715",
                "164421886272971034228040387793716618575",
                "56903218959229165918920257253129603784",
                "38079382840172029737058806290557223320",
                "317725514615203624262640342208281534522",
                "234851642115127312851057740596039246464",
                "340193804139354553363307520395974659944",
                "133753586631363121595812623723847218757",
                "157336781021900992271606236111852149112",
                "71199795751165802252038615652268953299",
                "206367151456893431505865493038362210179",
                "60145349737083281794431207294108022874",
                "336394557825544493839731112485570934601",
                "173775268714209023396296876135796964115",
                "84202723003136196733934637702341081631",
                "258569028614286613631131815385569489723",
                "243044546637724983120651024058536524048",
                "336746626552507053624119999005225989261",
                "289736847386267576430468532191981744414",
                "13444217439821508881038028300816135097",
                "90723805017896800563689489305962851883",
                "66238921091249671376022825376702303836",
                "288007623848920225513714499851720969406",
                "66636499622348412394229140662758333280",
                "301628547287659321128191540242088064008",
                "220211650535989011649132804511684730398",
                "121447188782092893092825666249808197143",
                "122915784357107295215693002164711827287",
                "92023291921017697807334911428641984652",
                "27856899868233931867430271740938146283",
                "1037014374386656069866975976650417330",
                "106786173745438181460077578270291230045",
                "966236750438011974401640863731932626",
                "279940796543448657059967283873481065164",
                "32009158994103694368244366380280579349",
                "24926570011240879004146875150182216180",
                "130524172919006560185438059776212674619",
                "270079447451952635356224318465632598130",
                "119935315053333293655296189879968608957",
                "285038298978327143473449311779183325531",
                "286793115423623794662500203568452885114",
                "128025773817075967568179591219418002152",
                "268644402957474867821699091327659422453",
                "189562718221602803928350881961932746432",
                "307164847052845213060454994047742494147",
                "285997331481300289315146305097689823507",
                "75295794698301603089951178821447808529",
                "120691116689334316349846756216177679693",
                "180935358036976253668002057177389304521",
                "205105277477307127928927149019898608400",
                "22408368782290396506048205030771640705",
                "336933216530666906531587900404587537531",
                "135327435375840097158599512829345473322",
                "271380962501029615956469819115282234254",
                "237774351640048325591536988979268572469",
                "268419023286867174453753853741487632050",
                "166485510755565535707867941568149238924",
                "329483049442305946517987808902346864462",
                "286850830006405730876435025407960645548",
                "195452208817519800953922689653051858495",
                "12816271317662074126220666311476636761",
                "14131490463452482986550142323849076806",
                "150500176300341169600895406740290300864",
                "54288002758167073359591842946067228077",
                "120436450724133987142788057259368951001",
                "304469632564447706416597869572682562521",
                "314474596046103121770874655216937886591",
                "192280698592797431822185469473130856392",
                "233255509925442471741109742080337729133",
                "112598368194200019022417419895893431031",
                "272370657856076144799601508451421684157",
                "11466750430048074673485628268125696882",
                "37947342137635743849790171340034884934",
                "55297448456042623189735729819829656499",
                "131112960098619599870877155738171100981",
                "49371631597246014660417634528905979610",
                "234556114699243506430331459067793347854",
                "299689124992103821857783103300993848722",
                "169642446894481206211275328953486470260",
                "220311321584200627752634856490082390981",
                "163765540919077375611088431542682613036",
                "32536136122291260648082228412242728724",
                "302375991955605204322862979627934244159",
                "126058288803905508475507272935834575939",
                "14422313669514909056991488358769132257",
                "331453986033342274773953694428862848292",
                "192661103961742633497958179111412858249",
                "6209010414283929054402648341401454046",
                "237133903846192430046193562528673062361",
                "90267933034481869674101030348766673569",
                "55885747924828996708749443262849132892",
                "24478194661398786214127702995855808781",
                "258218107023449702532924936271931115960",
                "41392753207552874622810249076956193105",
                "336562224819060216655221165452199237364",
                "274496168145924580640855842670751794474",
                "191589674002087477277123514165733375958",
                "52628317046337700719632325682307937124",
                "107959815094778400552587632430439179965",
                "16833873624200840535829854001992589621",
                "276892547596888663978822344816132988207",
                "282905425057046770141174840046656237858",
                "174687215602930067166171701781854124589",
                "272360047716702641292265139287062544430",
                "140131025249119736146427522387405733550",
                "33831843721817744277445758741853149727",
                "163680463115149766067072964058593326061",
                "173136075489924115733328416436196871679",
                "178371757179162014895552611475427161820",
                "147321446751214894657013235522912500236",
                "51992855517083023171699563090976933494",
                "105967588000221114691866443642322642208",
                "101612521541680979591802246994211395480",
                "202618661560858100252265698019846641167",
                "261002639268156669366582667725966214047",
                "155725903504504245333672994856382319248",
                "104527939551314445109544617694586382837",
                "117473902811991424345404927603412848510",
                "67711762665367432425868958666127977549",
                "258110705438290907151558673156412912271",
                "284451503600479926940770822306710179784",
                "285716583096024116079929361719501799075",
                "133125356020068769024632741804660017958",
                "66185115981326180800005210061545528584",
                "188766089149745621965739508890366126530",
                "289042152501581124640943993835394513636",
                "225700328226451867580729355348068703963",
                "253676311305754811271216271172245417500",
                "266843728864676761351380699584374688333",
                "57917283514981613605912445376822645432",
                "113501225404015894816580903405282165679",
                "137834454682337395746127710609963013172",
                "301514047757470612591915397312436903187",
                "33585637058187002990955536697316093478",
                "217398146313877298177275425127036279255",
                "266900009880122456637447053964123007866",
                "209945056013086523425226043539846264213",
                "283411793502184657231803143338859160836",
                "215801334424350442091249460802759017978",
                "24940373898167192745531667430580065470",
                "225456780268014561692882547977544054812",
                "296536572662957396048301702102940779211",
                "54480815915700728618406117037717454354",
                "208063359096749587301873955509850445130",
                "144820283229354670052439688575946790185",
                "203503018687659566940963792211457004994",
                "127553952645820985561512665663172504204",
                "50542595765408884410558148903444120834",
                "256937130672275747166415439564880602619",
                "35859426552243735490736924390698899900",
                "233718111156563051586279679509887639478",
                "124274964711015536245489998159335385614",
                "312630341620941653250987843330610488287",
                "325148061879945641635997430231383414823",
                "274565768673618113675029373972385488154",
                "142302345736604906613614541742485614295",
                "246847691443399807366415115296477677925",
                "191752070383726971492881977194429846585",
                "304133927869036688454118562613205635048",
                "239630319390634073377298252715951964891",
                "146273886765190392689915281672377231196",
                "48826680816514891402570544742400712365",
                "141111938456284895136280879883621209436",
                "254423098542043413361901923252383118102",
                "254859190844442697980837828493409577391",
                "41709390371988772388849072179086914060",
                "137655938366853207323232046124013367890",
                "294529923979552276153788645947907638049",
                "284387988918428294234451420864098968523",
                "103492429336222033691768136060575897516",
                "315582252757276891488715881019281357591",
                "93227294628049586066693285549580546149",
                "162511013953595551722115067891153641399",
                "54561953490040886694762780301376006063",
                "276982321581000728116759860649924167175",
                "280597788454456068852789986035341211348",
                "231323801611889247423199096084273184745",
                "170697980037475701279360160743161240146",
                "58272145336115166333427576416173936283",
                "209217192167680306830753550660518515614",
                "144222359718099765632244011628124458889",
                "33364048429742895844716044285164325189",
                "325987335206611505294679240319272681189",
                "302413180785546632818237489060569258122",
                "277286614508179572786272526843592875584",
                "7165880714599095262937593932679575286",
                "296607119447398321461301699204956142359",
                "44766654687835154983964433521157652406",
                "103399113481410592551602817464443720952",
                "307311423296103047566843470594062272214",
                "152429708801143648301519719000985213664",
                "332184484863146244766634284902843342598",
                "135696161080821005830762785923971789392",
                "232495099749066300292743804841159718778",
                "287572443950727191405749958364172253694",
                "237701170096920163845511362144868107243",
                "128315981278446597603705706036970899097",
                "97751005340100429581639788284303842578",
                "207070677844214046846395801172789734548",
                "153166278355203316541798338309273455368",
                "116614571278465922901932382311891467653",
                "182266090655377387652754350215118196376",
                "20245489462065701662810402462325508934",
                "292208252279230127690744147497138373468",
                "238370034723997166398637170904710689473",
                "215120118299163866225498131711252262656",
                "25157357823187238327633300565828538080",
                "224503549150712435932439270919095682044",
                "36436232465121928383875978377455381937",
                "40927736948704201905120502925032996967",
                "116297750296225045565335741377122345095",
                "134629954485083394771399095066666580771",
                "147020858579541859483913952586717096934",
                "242083235888445939796283191580871903371",
                "233135506334147438681048558731020162924",
                "236846249028022341054134624295980613121",
                "284126170686035145357652567673412505911",
                "111965310035074603880428021640996294373",
                "61244961818454183213151346085594840634",
                "96012369486260078255241847798902003742",
                "135770474094361401753370613358779669641",
                "51950323846482080847722485220173015872",
                "112321098930192075447921361564548535729",
                "226953413085842127542882444743770176343",
                "134835619094778169925291193410311279926",
                "50933414177377901297233444332559369185",
                "162420143811886940338681447353019570931",
                "323498604647215334253269770681404052856",
                "337068251123079426127543244179594706885",
                "278526477382490015637370733619767613787",
                "81827881089583381196277552565292154110",
                "43265349071127396746614321803668405301",
                "336238778501715172313072796247184092589",
                "281260281014504657764062715751431495103",
                "214556506845475633281230339404078272004",
                "2498844043779307118806324829450651023",
                "81821875090494085996514172275344136161",
                "128711438924029820568033050898489815596",
                "232329013873741460983234773043212538776",
                "94764448356451093441107188847854042152",
                "271830958339927240058030802642380102808",
                "193064969174790756837547220406557100613",
                "299760868701379288414520384821665767559",
                "3953545899094050228926543026766581144",
                "243277408604758407354063789211312985221",
                "79896790987162804242951019382830136144",
                "65605033962985042543980467085539810446",
                "300467973167019170590749625697718408594",
                "292099330671921657690649899696602831198",
                "121672482316128332558412713917224813848",
                "222509837097844649541351266544389671746",
                "70182893651194264321649423212054189446",
                "80588400609848755738378234530787050902",
                "296873285543345562205979472225028516544",
                "17686549240970707756030937387456333828",
                "13150516082573719049631010857528147298",
                "308332961464535872651497830485735700732",
                "264653823159317249091532511389888263016",
                "179071460932619128261952776149157672745",
                "323461762302980720955429210673709549115",
                "163269409851109545858859954617074665947",
                "29890682864679983480528594343118369842",
                "49070849694577008925324823726874229108",
                "106017406755900538216184144376065529201",
                "18897531582403267742012838361033789153",
                "97148587561865664836586711092501179094",
                "253575238374206568578146097899599735408",
                "263943905420833785790461873893029926431",
                "22943367099205936183206841302546564297",
                "207739360947275986011101684462417573696",
                "78303025132910068438115211140522985771",
                "188406797303448266136736430160037742209",
                "332588620323088962523860730863992132867",
                "163359742572092445220511131677146029190",
                "245845223799551214105100543354957011731",
                "17299162340536523854277538427139733614",
                "212463574657949960812196861814620548804",
                "129103793584691705374729787100614131079",
                "226268044363198779792117911339105760121",
                "59287551815911054229186016431582481700",
                "57469475583217761707254771300596875320",
                "124486812600899726044820892145140140771",
                "28941297024480842584277906024999358920",
                "281959523704662892087284521611423466886",
                "8896837026876768627232745299360371253",
                "154894381447591186484405113797732915047",
                "255700188033967258861917785539717297016",
                "251855795296738980690093554562868733389",
                "106718079730728186977228824632180631294",
                "34691612618909757438817753432893343130",
                "67722970372997348841489001906843398479",
                "315818414340330055598367642616237895958",
                "304784857291061199540457504571755298922",
                "182475572120642944766583766015356011569",
                "12854784482784863763840494160975704272",
                "96028920983284865476255042374115532837",
                "265546900690468131986841737232269164200",
                "209267546145337870442255010953030512206",
                "102561480070380328370681587357812017772",
                "268163566872678125464239921662326914735",
                "54262453582877803868329326240848013511",
                "175520295817257432045428631723532807132",
                "36837941770891561012316100906566622945",
                "261720501850786697180050796549747947648",
                "75718992181565525182346284220197084983",
                "157140658588434292988257653450248802932",
                "209413019563398782029029969438813647502",
                "270730029391726303983033126081171456625",
                "26006384126253840388767462949896738553",
                "156128024011989214401184039113695484924",
                "98296452018604661582984916833750005300",
                "195733712772620169885520190227017118455",
                "103824840652399519874227727267033042330",
                "311753996744228608651617967514218279544",
                "144649202038037992045602062165781201767",
                "117669068081839019789301374010249848965",
                "304690924323796370303073186154445910467",
                "184244253868489501209307465177131303241",
                "143353815272824811960148664008961939446",
                "302739364270902353734291396706585061598",
                "240449307637485257268967221138769328408",
                "283453829743093039582900113418563998702",
                "106519113364508781415544794607617334182",
                "201129380003231944842585214192429317720",
                "86924524049685365004753681493233266000",
                "68310792705376567652084708025424251309",
                "160199105938079898100624905779237921486",
                "238721435691643001516219531001996082674",
                "129246471766613500157665655272423005786",
                "227926998995454037763885623340555729434",
                "20509363557678717587708165404606366306",
                "203329531482932205748635539258446839579",
                "103802304696334815607392148105301663314",
                "177211929812666428976727908282092068108",
                "107924664760156729060427626517955689234",
                "228385619761426993622681556556994953878",
                "195241716980788627632717355941723918292",
                "150673831557675052332339397290423509704",
                "336116341320182836506069310612017456110",
                "86210064434197439317733505807370055869",
                "237766962179652783585607066827051511063",
                "304221622898685960610373019557488122236",
                "86828842243338226502834499319730073935",
                "293403627189818888689697902981438231278",
                "304573394157332343627411423701559182438",
                "3755922691171631946667016051712481713",
                "202636518887345243979416459305132251806",
                "175061839574453719594609824351149255882",
                "202986766347246033216996878767394992190",
                "319544607328404399577645073828851102583",
                "196598461174386282425094815531297867260",
                "75916226804522577232413769078283465019",
                "334754783676805015527720085663094987759",
                "256461243319785473885257451897198762059",
                "324294926743736133742542323169421838368",
                "226320841300580374931239401119169996540",
                "2732351983776277748673221226807308139",
                "13673119707655515661608260889424734475",
                "108766834865599007409107168469660676477",
                "103496554521263839809526976720936348588",
                "127578102271937079261082872651902083753",
                "170681044784335225858720815857717468805",
                "43125660009425659210939905882647978361",
                "30478655154607012089377873792308039462",
                "285921865429323737660506859688576584730",
                "95756406074038279815413647125572467178",
                "278884743611360943343927738270651375439",
                "212789637389800749477869085680705089347",
                "65838104584744535430104164554083184031",
                "172668988828421438471215504130417288786",
                "164997982736565284198115593656477412448",
                "218347986104956486291240375454400988453",
                "104278453656872138309276439637910121984",
                "99851102917915054162720268545917774700",
                "272191570973962722140567019288670911739",
                "80537734960233604191445334116299378234",
                "292933754877324147328774663684180222703",
                "330926327034172414349806242700813233134",
                "267622535695477361667040695666268038253",
                "143823234611808133872010165900175727600",
                "246747943694839866733067366674540921954",
                "311074960476012337225403817986392868343",
                "112312380152543783034806270945936734311",
                "253290454250065890418263808757641842593",
                "292921904139086632994892898206003537005",
                "61802930770979776518045681914198962784",
                "115115473383118714842450811994598774654",
                "261003146125863835013400561949927557598",
                "311189100164014050039789715258442411584",
                "35684934597984684986706305896617414380",
                "22986230759382021540117621103587598016",
                "102733965836983760535719014281632018822",
                "106129301501036435245171956762314243938",
                "136467189720252170888383660276330989517",
                "259506721101568524087274460274253281006",
                "50598758480138422248079556145542334761",
                "64968670643850541741983376465572739822",
                "211455398891624496588718814134325269906",
                "340060693711843250479333952793627225808",
                "63653625716464870729053604632455064792",
                "12507030747383439066250962427794536985",
                "9049369804441422447703893828669263644",
                "191977201473127788094634222993748523618",
                "319224340864977646752457900621190996565",
                "16805357338324133239003310698856954169",
                "257833915581580502233187886294762090400",
                "336072296000649372684237955193870003129",
                "230725803441042692620557318603767922610",
                "76749175367579182698017746883680027981",
                "30194449611020017480729088795693944169",
                "279348128174518659190699069036282337854",
                "202549171750342753426836883306597958149",
                "96201783097657502434412998781622824799",
                "308078655516256806325116308066016385551",
                "227615747582149088265790185466307045717",
                "108684458576907483297191163702441082592",
                "129372129569598179891880026679634776788",
                "215419016499074058873526682702903995055",
                "87451298294933046995590320447770941568",
                "129630629092603045396185249997570777594",
                "156452810935254290110408064601421962382",
                "215833084865733062863002967732293441809",
                "91014991926346150970190209764402294264",
                "89151328230169859621499929645676845064",
                "248660305875040455829800288972768745469",
                "256888346329302149707545103632388136579",
                "16463094181034649707371809898824406316",
                "161917442441616430383867417462412949523",
                "51767443485795084735870285666409509146",
                "104011250236770058222912910550981731089",
                "283483221477133439870046971913319739385",
                "98070856438522610233116250334449909236",
                "61456741879622812174791833121043805337",
                "113191874716827585537005006402922820814",
                "108089038936937945865482485109491073215",
                "159673583904007247124742250881092014783",
                "131918185945908413468525024869058692965",
                "266363160435347767795764022327332243314",
                "178866725252949442330118022803538025279",
                "70951326086205052887020401739706306804",
                "96782788489613110327782364870418919771",
                "248338622878689303839365456663430472287",
                "290881187281889096184585471432871081964",
                "51885181464700700360311479137463594458",
                "315508061794888974666537373806528617876",
                "216702838930311700507280147993995139303",
                "144521974200409794055975825668892048771",
                "200773805017806021975708783029472015111",
                "69591189400462601175317930323519015121",
                "223225644102257208157325942354625652900",
                "262475338626845348930709290313397651246",
                "138235695933611780485094668901809123619",
                "65325566529193675903744774843107592159",
                "289412977890214015866229059804129014400",
                "91672981094108515415837948459738866261",
                "39069640880278501339193281961679932794",
                "215999602099878431910852712372409304451",
                "227273886260198809420449811535534425346",
                "19540217994344940451587066265658933215",
                "177508703578721526419695177436566750587",
                "313646142554499821466284714934964859946",
                "101628642209854231622989799143184732237",
                "97589333042118396527625965643648762942",
                "98570765467473537044350344389402446788",
                "41067693274231524173992498640801798436",
                "331909089279852307941843086975774527352",
                "222438946082322804435145539684096594298",
                "125511301475421096290427488817338843393",
                "306699871847289287343002010978577495798",
                "90066552275725949079559886610016672443",
                "157731361300349382905733858589153050058",
                "21644172007901222150726808761853479498",
                "9885696652879100339715211577052327906",
                "122949329534810829467251059553996842181",
                "225879145729808733297283052652672873124",
                "203832068879049691946270363597809026705",
                "119733190984067676037557066293061650377",
                "178619298259132765392214977050008507915",
                "185975016233019149851168855937419306453",
                "317727114184120797794244995950291054269",
                "312458457125721037766780910470995931428",
                "26806825775378485728684070572451904444",
                "306226060212134390486605773113265606635",
                "278092312953780502253838487053330575472",
                "93985250026285382158891404946297694914",
                "328684792624226968938142081469388812224",
                "15768998679282443493321019585538931477",
                "197953086914467540663213603607542877828",
                "305562433091215359415879298474070085772",
                "50204601447668265501745227375379204315",
                "57000493583969578329152160152696215489",
                "295028738864847239205684665523405273685",
                "219289948997135754640747614421701233887",
                "220415679964855401558762778741281270513",
                "106572909701449465401960857695054059237",
                "235184166896351357807268834850367663789",
                "296542991119301690866037934549815901671",
                "187070123837170060192802863426329669990",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "285778877371365437218879837316196906040",
                "271153434310720082839713856213712895651",
                "314791357298451193010592759072115088042",
                "159859603820211863652119844970203453745",
                "130484968220114717245837760521496305194",
                "25992142622013423273604335719409309594",
                "260552235762390122463779139698490972284",
                "300708299268359954985141631694724265688",
                "181834685868525542143880038493093270357",
                "201227938872979177168296970715573353258",
                "52786133463885278303982545997242064281",
                "232255658544696764711124144687646857103",
                "242501640642427282751730625261371059346",
                "236051159992307245558067218048261125399",
                "85152521196120751661649306113725845836",
                "340247703351473760519060170776262859252",
                "339876850346502115345176490537250344391",
                "111911796170402385201603663740731629030",
                "246733657843752348795628699988489015767",
                "84100301338969213287966689305327951221",
                "111584832067345000941323341696425768864",
                "227947108655887382954773785272261650885",
                "75127531707341402065512428147325525009",
                "285338889572253768209337729895085432693",
                "176804308423798486086607790339411231076",
                "172580867312305490989068875008194331487",
                "131975569207875152488311899367959126413",
                "273984851924728983760620587361459187849",
                "224227895227226939694293324867616241925",
                "202660004393847263995096214075023330317",
                "247242292803644122551728331023065393502",
                "292096063622749624616243453860566451441",
                "129271112378492852291536896898989753129",
                "188253877399935706001750085111171289209",
                "131943759398920070958035598541851365620",
                "183134145052157073605917042561021450531",
                "325953003087252463044244250154679024605",
                "122182445919513935065759721822015253320",
                "171932512434991166736959292813878788055",
                "116998149772003629731428290501172183034",
                "210138648631100139954232089275610016841",
                "147595343988883555545042616734169556966",
                "22523352733550929103664340003775699063",
                "51473792113398848945076172941287089976",
                "260295281428904461095428180130960742272",
                "104289735413815817816623957315101433855",
                "243302390741755176154242484073455010908",
                "254954602948352104407475326270788320954",
                "315960355421239045874462631829074631680",
                "161851337533098377952020577201245201030",
                "286892796799546232125402213608609604524",
                "305438303468908069284380290681459184769",
                "34260918223043409062116073939896318909",
                "5910476169812335061651920475153694198",
                "88476598510748608725645098364378640471",
                "67471653460372355830962647715786107835",
                "3369750922068307849845670275958374546",
                "149663323078500330345070660780877055643",
                "270708186337162768018111546224460423413",
                "43849171615228938749731131899842953696",
                "39522971177460878697110379321619132153",
                "303453336957889522860235665415800798081",
                "329422400702107027956143648103897994129",
                "311482370546224293362317760219357158479",
                "10509634775918598171090034972355290333",
                "234946545344758479466313442035338538497",
                "269875702217003433890349697255743579660",
                "49978870798064117846526235486245688520",
                "13046947971125680489899976332754414922",
                "51390827211304507037226801220616361996",
                "82897710772348300357464698573666447590",
                "68191412547177914640151930364462363088",
                "225622156786170636031362963916335967264",
                "81113146301323995892513584765416089844",
                "139819249094037176584984188540271725354",
                "116776242448254807854192177281319675878",
                "307653591418442698027561208518916442096",
                "185405803652017271881237456514072856775",
                "84621733252920906974260788193884872385",
                "20183234028407270901272349941118224776",
                "85506457336121650187760688038052788600",
                "193547986200282327453083556347779022809",
                "327734243519528216748838720429777918588",
                "332305556376821542387426142865827355243",
                "19956241855989795837549952642302764319",
                "283749264461588419301191559651765970124",
                "92916799158251103897446951563340172044",
                "167876837764054649376393909028448211112",
                "17645483355052986818803653258601248563",
                "195540748138924584857706847191415300627",
                "232015629901598103793891510110660144659",
                "203425897343015658469959487025664346695",
                "50419276978059658389924374383583599247",
                "39152624594865006106458775289677034783",
                "244321362930785377497230309700410061753",
                "152162384388651189211819904294853297965",
                "262948794788642863676509011536701039203",
                "68460467926191130181890463771534324958",
                "176801046657617078490389212216000449740",
                "16913124931615420661119099777730125348",
                "138635908537136338792164546445637910805",
                "290096752265645085190320830004383978041",
                "171341530524047896920557745807970601445",
                "269904153654304762509490703526468038339",
                "112008167356091289011303612652686284873",
                "330920192983839800253334357709711711627",
                "297284307578213414937010801469036605024",
                "206225785185782539216731000107218003191",
                "189788345658184849157126898065899789524",
                "284728625742135440373446982130193048130",
                "19434463396462686719545077914596291922",
                "129029173019797992149992641719420806558",
                "265845390410823354990639852427231531289",
                "74964057749177614806481507008920967836",
                "175377845875070099013331074930434717697",
                "67446537811973851753523854307685742938",
                "130342393461766525482715112128624387461",
                "248963895970711553260119007854420897427",
                "108960022941085758225631878479250605118",
                "203212935691195157409366067365040664629",
                "294463998431711628434111136376248031646",
                "179716698329554938417411795984132683823",
                "120094424714624054326001162928375689699",
                "285603743868584211359610512261641974801",
                "58075321555679889715529546721673228506",
                "21552572927211721590281186757109918063",
                "159029445885321566021376246138745759867",
                "106721214312909684698043519916160461374",
                "335699417224061317434563622403678108413",
                "260270201822634167325767128930516247727",
                "149616839270024544681587900419407804211",
                "204810052394813750563063699668933842325",
                "98418291693950161655342463334079149679",
                "188471059762822733279539471022765345782",
                "325222155218226462685725102885556302377",
                "99719411755203747614730264553936874008",
                "109303500753316875623621266517409323061",
                "304215909775779527090455100177419617928",
                "193034484984445598409041145525531399839",
                "34344924064002025417542736350744577484",
                "61753606464009016196013063686333426230",
                "169898707358990376021728846214404938541",
                "23188611238586322253750833201564435469",
                "281825049280379461697783931009083897843",
                "15836965612923293615583120884586159019",
                "155994176327919619697955498133680439077",
                "260142105064658363603127827666067510515",
                "54185777091904428191905341958669699666",
                "134016510734531712774051198478648220302",
                "231524846154158398452717686045160112048",
                "252368311294054031521069177851877847607",
                "210114916470042783225718625434332392719",
                "264458112112292189472021453323134658678",
                "115140963920170106210711286976187076750",
                "10174967437752400335475943564438638249",
                "275722902527542353783784616997764735804",
                "247307555071679024819275148808389810118",
                "12863818098902600124364630340455095222",
                "42745164247870954281608504372701787801",
                "77426808657921770950898367569556669275",
                "298544780410141214108557851787888589969",
                "227095370378946976487125581367489147683",
                "149702562216746089724692723458576437207",
                "238279283205407282285291687015172538123",
                "64769357001414555416830603554211643",
                "205370750048975837731915380843716219314",
                "249601282471651592335606966681230393578",
                "299305295737304426843256806764158362972",
                "159972104702387821644370831508874300267",
                "15076190393049974705572661015112717065",
                "237461859623040110835410252048024357627",
                "213419971948264722001962594468568734313",
                "29865033465708600557664060534139636835",
                "193062088176944206018972037705262611418",
                "265224677459638799015813162197197925232",
                "326527865982873965898232422949349588923",
                "312643096772630063832608314350038243530",
                "270097698114339674522413336783292709678",
                "74823431032267261250860379673836953918",
                "224153815891101794110591005683283604049",
                "231473107205311770591607594534539551726",
                "219454368175834309303571614796545793143",
                "139852511526892918153322957029382890871",
                "226549471181136909800924899458987063136",
                "149326226572200519292867188478337803955",
                "178021452888560738165089291026914705265",
                "308460809225550836588318394917203428508",
                "258186278354228139289341322094892432258",
                "297551736763414408516203536328057880839",
                "15380106887876394723397207254695321761",
                "276530705812904236644373092795402585550",
                "246156324258825610619019559266068562244",
                "309759840626503920090291538238374818082",
                "231913253583578127205254756086628104828",
                "164873538356594913346874196824390494532",
                "148509433679198216008343836230854329890",
                "286740293779039111474777776538394903433",
                "269522385054547062354753129215337815169",
                "328938561335030773428929709035733379373",
                "89347240308564269897362796171166727033",
                "195523616113135899140301154043366783356",
                "210679879640928234241116446065574284435",
                "206396346622585545249144509030936466632",
                "315563738963527092490785644325880229230",
                "73556058231810762610561446017242109736",
                "212979813104624962017262185946789645215",
                "9104435096762852568135064328430674415",
                "35320692357347575744823650563400963407",
                "54211812734905940874318557811276898778",
                "106415094842895923036588901194381998361",
                "339005985924922192852189155189706737922",
                "159381362511143348934020736726276631086",
                "29821089717031778613835713742895632581",
                "153796462886686674358744611530555467033",
                "186660091904144406206153308370254783951",
                "36875891665308977832268788951266670330",
                "44140561950938824223527187464909350465",
                "240137857504264455301955608964071768687",
                "36131131009096230711382547621597003370",
                "32522428243138877388905227220081960901",
                "166344793595952754711160823475273636859",
                "312163047149477311900299798503786154516",
                "161591487427515771875191134684907433951",
                "48863520234182510723636997405202813847",
                "319749778207443122573324528577192007635",
                "223779002177662945409586158562020748111",
                "218350902173060694903010452389872511791",
                "156452037081110828777760016780511946018",
                "25909836225989768663854346665058025301",
                "192942563728646510922469662522933021938",
                "325715396128305170167915956067922648171",
                "114245793333178635147962270035582940873",
                "19571745782964146040586890235849286951",
                "256518850139608318497609756840098676755",
                "113975825304622180594454598283096172206",
                "257142463000285419166411086078443002623",
                "40050724554066945980635322531646523082",
                "40031749834990441754342263222283859550",
                "276170061949312397598058407554160747692",
                "19380510898816143027562744276383568249",
                "184013685618012902666340961292127418221",
                "228839502647656254942239467637109011185",
                "199993294265219692981351167730297002277",
                "262998778361119042887129240465371876522",
                "223780645709852708810802676377928997847",
                "249598399140499077844644313801528380865",
                "267567039970539090229265435250363736781",
                "282190633545143505956386019822350242583",
                "253385007819643257936933801617336062886",
                "21788209320469512484760950359400297624",
                "34033480502975375862152655358532150501",
                "211035910549523847332256346625673993674",
                "18184240671035530027671180758867856494",
                "124093218814781882816535464257802736671",
                "322230063192202204951211341564319802879",
                "6613390975288430593911616637968132564",
                "338238341431159405306019870548975417344",
                "83810721842029831172050387980789160195",
                "2426336533292662037473771412410914598",
                "225453992707087607280091121440930492510",
                "95155101527776461141708875925427864495",
                "6124194515199822182159346676161017321",
                "10663327622311634515008204052257162378",
                "30302297641522822411190962778191957003",
                "240681322302424872893396957466242101110",
                "45139559080985440459339707219018154177",
                "202426242032374437940217245226909758384",
                "175005565930651247887128881120909085848",
                "120466927258032072372128606668808965085",
                "32434508209347064656053548965088937142",
                "15957303245364716688660248753800277982",
                "322609687482102089595800549336013218589",
                "57363052472091315649065971411468284728",
                "290563990959612799809352324083519729659",
                "159087891012276201287926375853996704379",
                "133261869127826534373034426579126319638",
                "17895669460685374232547158881888578051",
                "246029137272749027348629056327878437567",
                "236367691014047836383051105256092186863",
                "242559291159799230817586628153823542428",
                "234411640685472910955877070388090383367",
                "43618484849556632184170259985549028013",
                "39611294570571742426586741871960510115",
                "287232864754326800583023464186767668217",
                "235078869197669173002750170854108888936",
                "16155417650939321090128484336952902154",
                "53076650373178677984207139939684676890",
                "337446117757634132719903611566133020666",
                "319278107428863007770561171613526157134",
                "79229608593445053853059589105515606723",
                "235825899723330335610905658912100147905",
                "135129172690300891603490600840345460619",
                "204513197430572863386127753971057571739",
                "206779000498731643584561020016289489700",
                "245599764849813091216243138311624441564",
                "130423378194228388179449777972388795257",
                "304174805964700629119552098108904626328",
                "174834363590692090742845552062803925419",
                "13553025457423085417378386622931847908",
                "285209857835954420136203045089378961781",
                "9816310841864705192376882069331612862",
                "59223706736278881013635644995459368677",
                "6222056894299544137712961260601346789",
                "292252674477364057562862848062801293734",
                "226192002136638000710522147736094476494",
                "316223187239461720523587712613693846457",
                "54487821987261593123531186334878684766",
                "299127122872614592931809928865458100162",
                "334284115843979699399984528401858258851",
                "171193744315426956303381885117135494191",
                "255077385104739759445018485375331376137",
                "248565878064667360001895443007410372906",
                "33776777797777061771179835852673153393",
                "265283330489725572975181595491527964749",
                "111922524293368702355599346007762201798",
                "152216662732170842148070665541290318033",
                "313981426048070876126366610451928724556",
                "319814693506649129436462004411608536414",
                "5841300295737767200298163403810773221",
                "313767165087739441023805225054488219200",
                "163849338451135329774379019603818245336",
                "300945389518378877977111116465299230000",
                "131606998749355649017777974921790360322",
                "333637832743328101793544409268282356220",
                "291604604868451279102140378761021987561",
                "158428914303055641023875460604116568247",
                "105007351932536949809034721498697955778",
                "265786997639699710779774084458806074628",
                "111616000661150787592458706743180340818",
                "73687209830428636122572592630748740119",
                "156509538845159718342721204122398958228",
                "123408802477423413332582817095669421062",
                "119341177334648836448146260062565118568",
                "217668225096092450949345300968143836739",
                "244694328991648111528130054688675645539",
                "151183360488693102348635466600952565421",
                "66050641424901316246240795705161752317",
                "215062647499002540068016847152931311856",
                "66823999269632889200205707489647942646",
                "306838661484210902086986613221923892217",
                "313584778691170154026827823043426913155",
                "180428275211015291351705133032754181993",
                "116262062409386209140661392927055125331",
                "294107057594788788389385976915436784743",
                "304371860067187999224777037028801664451",
                "179460932293628725749677696698639872115",
                "165159706808882655760169288221367883708",
                "290407570897108839628136362008444824377",
                "262596262368466659520152408668247204175",
                "145342254203523900576290442880072378804",
                "192039921709826177257084922876370833207",
                "305386146119811135613023620439396005246",
                "50577929986778616927928277443666568450",
                "158269749915941579911481782112987663968",
                "322124288530225365611985123635515527101",
                "175821306480347315927284879754455085559",
                "51849439325209340164265510178265081146",
                "246075467597580809263322814606117224315",
                "124810589116220719380944329456468129385",
                "268547452814868721358453596112207463573",
                "208537042037699416359097354104946011312",
                "105327168918099793778727129605006104749",
                "57533822925070945490063064798243729077",
                "278618299338811143043290403090828278517",
                "120134989892511300338068781452129878379",
                "67152010938116305782799019746867107072",
                "322607944280654249507584876480692382286",
                "94548384676310175987810974453919479762",
                "336169900565314844374991761032500610899",
                "71271705308709081623240294541342602896",
                "146256929943695965444220881556023141590",
                "130717182325333321590603456138191096982",
                "325620931966848107970309441606811650419",
                "259801196555874064894707156147509661625",
                "284175530880882864380324452133901787031",
                "275104872434944444478298731109812330547",
                "95545414037381344890001616045671471877",
                "3866476123622216135176048447925715979",
                "44561137534738750545911644251377210443",
                "290938596577998048863761738907198765226",
                "88873898840836282652442515404776261405",
                "119773154680276178160256018432286147962",
                "126386797558405590670006855069706082791",
                "298258989955988714281559148004117232164",
                "257041576046614330252457812050177083168",
                "188471647670318172937288549773459509625",
                "300979218121108820043491260010840037786",
                "335571545268528763733404554039603756046",
                "254678427871977795714929237919138756749",
                "31759428675875663987762068531173363510",
                "126780086566817647132821429644477171104",
                "294842342934133669520407076919725920386",
                "7803419403039376113614276591384160059",
                "253130633386746004969821644432339395605",
                "61843111843078271331796285171478949175",
                "315588118137383227169885459516102885947",
                "248193592385586750229283865470026221401",
                "58115096174349033939386566715629881012",
                "244891160611525975676821841581473053568",
                "111668641720290665558759769834768190556",
                "121893781025802220952255583732191177871",
                "224803561999243167608703050459535660354",
                "127661372165023684888919843145767759003",
                "300136823735777302170840677484973429008",
                "64346354728394385946049579006615347347",
                "189407952892536316103438286172179486686",
                "156986761002306508945453910993681880565",
                "173379104480147721654906623849117310646",
                "236446254432031623354571585960373589931",
                "309733180788313880735819203542081433521",
                "27533002464786852147429049647615892905",
                "116902496980636673447543460556830117345",
                "50390860365044312192011558422361197519",
                "128988127644290804528023534753114460697",
                "66502874770909578760179111375412306968",
                "334706050236521104543076392893634723178",
                "320731866113965259476905215101089560404",
                "289313799620715763441645249315780914490",
                "156687939148839269268157033957961001016",
                "115596292659468883676450488524430339222",
                "45038178362489273496554003070723823471",
                "98412310780725561010208059314419481727",
                "326487734623224414744042191228618653725",
                "183676655932469103909540886506487455765",
                "304682681314365076557216466457498870536",
                "1765805612574814952745439144187499828",
                "143149089699284458472315589645111274252",
                "23989268237740111856074934281566122512",
                "10932219636095719170868003290365361993",
                "288523438071777246079602208436969128333",
                "246253677472628504033120342893382949020",
                "296358670219261314800149702402475803918",
                "154457269697538014944005390934938247790",
                "237439936252243239954751935741658892756",
                "4074455336089711242110018992510727208",
                "243234354591716738470650921034860558969",
                "3095559951966914851025170673242452462",
                "330575563856419236733087597680926353681",
                "185684214277099720415016975751059352841",
                "337326363623764915995370507732256404412",
                "2328465145173254261168605865549091234",
                "282883674154025151390553389529680498551",
                "320527537193119000702407038423878867666",
                "267071069619264481019003292896462491635",
                "122314043549713844805171390721260825607",
                "68806637176147489087041510481370337581",
                "157956211910293881433915016576188637060",
                "64250650401274173548451114182297222645",
                "125606379396158401457901392267082137902",
                "18556685838525238775397112916307620189",
                "164993442292529554218548320238219338694",
                "79135404766549509272622546843356385747",
                "257585819845065767398931696876914304082",
                "280515132879739818483999962477183326477",
                "81434972688830921121192292058817209477",
                "171182002572482726585859764720035473090",
                "70914028283560095735149634408428328609",
                "99721881512065135755263350670297190585",
                "732981366258784249483343024391533148",
                "301974697610535731674971320464717389577",
                "17199886612311802803398772818870080476",
                "101673863200894209124336208337142201677",
                "6379692072991980597307739537415338944",
                "246569772209754265725873650981963026860",
                "51382034927521116638107641224744810418",
                "193932669822113742910592568955109418125",
                "274648249921126181188954686987247800521",
                "198997049833233754332909518870150442231",
                "48118977388276608174026361933264159389",
                "214655639604836672696594156660853247335",
                "338210545620244426492940130496469963536",
                "233753497380591877727013601218807264927",
                "237420852444767777332869315878182780926",
                "84646485351753356012733062805015585077",
                "30347614598020751762663474601604487193",
                "284700563428478156458316968729741049694",
                "151263538378475148788078309541943526954",
                "271005636333772906467677669366032812693",
                "110711612660151064866276378260108644363",
                "251855830063425188944688233312820499432",
                "91447815113953289099650118066008562479",
                "268692351395664059459776243421063512955",
                "28072280129543275488373329918620256097",
                "58924753960621983634949894787656453221",
                "94278407740277872116452355542715883241",
                "144245737896302513779600304957040871943",
                "124943107402787293665271655645111554502",
                "216818405717036524531699429386395022597",
                "187729213893751811166955045724921420414",
                "330419839941402803291998704276587056767",
                "180098847087815106311139967109804230475",
                "68458521655826460409888345095894307218",
                "258179714759627624128775157029908455825",
                "339927584712694073133973261801876492066",
                "164554290599757070180693215193359703722",
                "153627062233999487980194499102119232971",
                "66450961138504552700294079107291363686",
                "208792742710509660497728606485596642640",
                "203304229992440891291634829505174014620",
                "60634912269691951779715000078039499795",
                "87082102728407351865637334551071639808",
                "288718201824674510323175395170707971426",
                "247153775765064011134836754669889446034",
                "328065637163766567375117367004818303304",
                "152902287604911148330613522636016638142",
                "162866318935105673108550811398720571288",
                "79429230308161479736476706745618153417",
                "146539267354627726485792065021463380749",
                "331774493287050530570626326279903986834",
                "118849066909072652549660911239716574685",
                "254290855416788237673158631566706726329",
                "13199813694732569134264104184553784167",
                "4930826786452100785288893987288294488",
                "232423931148709774248343630381333868132",
                "256529377703807718972523502089620509970",
                "46307237565300832712818337812258455327",
                "274872276222866741324958832570828449766",
                "9592877641179726562658241999120792517",
                "16475180596500917350260424440498580645",
                "105216831561200598131918263056336899031",
                "339785501774495225834552590243787145946",
                "280574526465500659772355691130116593683",
                "35266461705183276500742365797629211568",
                "86615016325320057125366685906227795722",
                "194804510377551317628143133087997920575",
                "187310771564568009743656413255780956228",
                "4227523297126858040994735035753293545",
                "58369402543630311006030001116634725219",
                "6639923496636152530072006783686368170",
                "305593837300703012662196790030731246288",
                "289095809104223991088514042921357554103",
                "200661450168481970062007994651625350340",
                "275860539614483890525598528452468485246",
                "109159492143905371173201526246261425883",
                "203110409811039675406470744250830260765",
                "10593925451794642211907349547732964118",
                "269245991257247591862404074595953547308",
                "57382323871946960519447106378288120556",
                "58734800671231921573059113280601521693",
                "115443926884135695885091182759966966609",
                "249302922088930149446270812580659940383",
                "119565081443373888000278539703258330760",
                "52038140329971374723657935043914255151",
                "187134804851078956896083099622701488392",
                "170331454022189899518221175483859499637",
                "217052554031809097904808553688542013857",
                "131608840419103750398642746062870792861",
                "100117032130329640408354545648593260143",
                "272715589898175538933840510957764765134",
                "299345549101766460641409321224987780334",
                "181721864648935982885145091245108367084",
                "287880397238939869112955657963793448617",
                "24262753216709281036876819543795040960",
                "125941664537344151432696556478803864188",
                "247356206522189688933821573244320467411",
                "209524556915170409927065410674334439028",
                "329442348864184488978695397819803279202",
                "284097506332477175346263333672142089360",
                "192942143090247896712793668870350671835",
                "218691184859881756412966277893678186973",
                "319329394343277185945657572307933933779",
                "80800372021011375525901068334474468432",
                "119979961049149091038021328986202423907",
                "223324698889818050318540076778795903946",
                "218418546059397933526969510609428403403",
                "3837415306361786558553226068372918401",
                "96322086312465569990032522382229625495",
                "56230521919001880407508182911918576224",
                "236394952891731076540747998665073484613",
                "295247805663868470618654447691999999434",
                "313698008648548477449396312687616486121",
                "301416649318061930174098962561026678182",
                "119813996359411179521115925444827714133",
                "192915703098585833751828177009490647499",
                "176856614790279250478553020395713696394",
                "177562063983838992108348001252305638744",
                "105655313782136980649452513652343870028",
                "76789906455895072317264975305159640167",
                "296081256002099013443230635418625139499",
                "153248207249118611374754863058689570558",
                "49181664962718871073514514956358603404",
                "20787080607457090335003420636158559868",
                "36408930627034925261315602459019473679",
                "322379350540945496207202085927052312795",
                "48940287793437145918613865848470001729",
                "53507641332129512689110727892707369463",
                "323436817745082346156378892731812650125",
                "32025011414321802639761503530477454082",
                "156816140026248767124438224748925982026",
                "93872456189121466843576668271693597020",
                "256057162142558506434231017475208037194",
                "213420458321504708796364069979941955100",
                "46261041361457084248199606656610371427",
                "174925958637336546672115041156231380534",
                "142334471193577966398614877438189880883",
                "138011979385957812108561156134642943052",
                "184409001156950090250411911637062821942",
                "141716681637985116553531521155099418708",
                "33276195428623898770818027431400593939",
                "260975466227421987824380408127694695920",
                "338286101127707176169118569243529337308",
                "105882770977662708910971437999553474642",
                "32582632922848535727768146201363606406",
                "230387061793649976428640381738235626907",
                "210242714528357107356053325761054796524",
                "199767087355820311325736181409767836049",
                "117691327649229721845617947176572386384",
                "328638470505542845063247869698959384750",
                "65669963097619370124739377027597293269",
                "329837494670391818044111382857683914856",
                "187693604088301892104089163722488574270",
                "283623476397171589525548944614970493403",
                "149429847249176880160153040908066207723",
                "186832648538660976408443914037465454214",
                "135319661591575098586289011815924514089",
                "329717289325258933116244856016197819302",
                "130527079135589122599165037476398888921",
                "182671383182845082667028359947521285348",
                "24816705441491591236447531502949293769",
                "110763396407027652063942208112265220106",
                "238923037270388393458882954981977306908",
                "137855303949813241964008304066745492890",
                "84853883198427965005212493316155507866",
                "170025938931051633848944653626387086081",
                "28920113380719567197563887184809418718",
                "29051222450322405534947704752467669196",
                "316946474017146719394911250009935205471",
                "117610775117929968222500006453424339352",
                "134618450260813844805014997279475482243",
                "230323956655981756423213384257301915541",
                "82443455759731816894724207830392370390",
                "339322503520764846865495404103327218599",
                "195855867668076590710383245149802524972",
                "35108235068202764765087331346383681299",
                "57108964276664708785938301683077394054",
                "279722900477706650631344829540827463633",
                "140843238963390683933572346708023602355",
                "28870846437170168435781750888413836136",
                "219481274570442906166203523743099847644",
                "229898648228086734587036429748184746384",
                "207164695373903051225100906439228919678",
                "179831949009912030315964027510804922343",
                "202428188352795089659823969462798434587",
                "190978385161457631347634690206801437858",
                "255231547280166786586772196028627967173",
                "19914948529694346206306615090069041713",
                "157765174138179259118253191365637348647",
                "14068093927508302141259448753172877854",
                "236460082423409792060837147935894568789",
                "111939149368177250909583501823628764610",
                "47941086720944336294752438394419379744",
                "83888626221289267900191906662209997084",
                "22606553473485475138242540111043625154",
                "246786217146666494553288699463690391903",
                "57407978689324982599493549972925607797",
                "278377130773038354111903577187281404477",
                "203909973007244902444402171299613462244",
                "200965570723622732535965337687613648050",
                "191509473616749960374232690533880903270",
                "245030531829969497782903140461485112799",
                "219638116538964495009772586056460429881",
                "90587038192270966764639606961203029840",
                "203057856996062547770308569246781462703",
                "278967540954623937674476919252284350999",
                "7018501761900156932968589415676705968",
                "256889501891569934692360910496817132366",
                "196355911978316416800946160758103781161",
                "23924542919314483951627511273500792583",
                "250732463780614830442312166061153039027",
                "50644817958428862485358753829098735638",
                "123991867723548236062717046793867916912",
                "232926581165077352718186006570533297801",
                "322674006483962711942591233651732024029",
                "6610617091056553749277125404720661647",
                "51412030235590680679669833227678882011",
                "140760571202648061196519524655323083954",
                "290078804642497299377415445107862251656",
                "58542477065268430238651753705284468886",
                "10629929465804534462747908419159237349",
                "6089968720663547881268352180069706145",
                "258783287145301687623404043972783909725",
                "212842688646207379028492247048945286533",
                "119646944952947117725954774804951476250",
                "132383570910839284493082650511175062556",
                "179332844273572001856801767276965000488",
                "199900850701816447886568652455202264049",
                "206817867282647730271681756686707341665",
                "260349900596680774407882563548706316916",
                "218753462022479041281925068854897182656",
                "249541961348002840159134847104023657900",
                "296739815590025409668621241264460135685",
                "195961663825186966798386637803137449135",
                "169440379360477123633078629620707332841",
                "64000859627071535061741697362278120341",
                "208693778615945726799513867946669408039",
                "116107268842193039193236531750000138839",
                "243275347664597426518238298273529562354",
                "298813357219068963642008618050244936005",
                "187120458336053131270775662063028401375",
                "39763984704379975262054157591048828786",
                "208576110326494337708160366477772552569",
                "251959357753183905864686052158554711826",
                "328868623527549435001012377742988679037",
                "324074007256651171263532925896355877687",
                "258589396977308663443886278519494568011",
                "125876724141869479134787199035551573953",
                "131544245499643810639156065890115685052",
                "103647180965606113537903591478987308026",
                "64289693380943018823847419523659691296",
                "230940093328819170724183781111179326324",
                "110257534334839432040911602045926365377",
                "159426351398657270084877516073844504141",
                "186005078303356396656392819331685204379",
                "29753481401358450949271742803571933770",
                "69879004938869296121558737446243637461",
                "180954547204277220293420275562194790845",
                "59905760787788748537811221044928174017",
                "293432130436040044584719532431490830395",
                "42311052215208489310504087070901229017",
                "222102827161461623863373307493245996537",
                "21822265857609215868708018139220025255",
                "42257053173199378433871276146453494396",
                "268794688581969535618556913836640324525",
                "78325343328003922970508405446923509499",
                "252781040734598024902650012375772450180",
                "84441720522473214747299982249374121731",
                "113447106017764294067072156042524816453",
                "304501106530057851678772971591893533777",
                "30996905712222442532969852440545565187",
                "2677304933177350398066129941357506868",
                "169034270258026341391665505009063867198",
                "209449372253726231864372520106223421649",
                "322955066929913548272528805715451052387",
                "6073909396119628279931154417283647398",
                "217773824548527060578135328593792828551",
                "90383660186679652454189207796011564865",
                "104620631592553292842524049794257210533",
                "201871341077720263838822198071680379781",
                "165511251193937228032933362009637636591",
                "272787482335786666760507603455785771971",
                "184109549195841695710331672847282462529",
                "206488626329688300087279077049570414079",
                "135819911023167418287738022008982980160",
                "113161191497107329462742140260984873720",
                "310436923191549703977012949947500804325",
                "98933122473928718398009351701580623780",
                "187523462772018314580511756704752896290",
                "97956529940443186004876147499816893246",
                "119081778848451274836108036990732369288",
                "26830140718693644162514507291413490145",
                "301110241590936257053358286587241090871",
                "94710166428289631287230511218246847321",
                "136564595379712999225423436865775277427",
                "112418984818013441332490814090155731380",
                "210599337170165933848748166349601247578",
                "275738259719941835267036822838182045686",
                "211796340953352997399712894554091304788",
                "159034480676191250857059181534350829969",
                "305868569152306247658096046003560858577",
                "86473700780001413983846091853869080633",
                "295070188657462460890775399800004648596",
                "213493333776526854132491388393655437623",
                "313155862480689009281471353440535441437",
                "321771553324529329700960275257525276948",
                "320004744792121958456579245881841324859",
                "204240055865993200578382229634660449583",
                "338054925985975748422171319141812913627",
                "207797482033772141265886139305141326623",
                "260760182725515815619921813205992494968",
                "182504971236943070348690474941401495438",
                "236366838181681132688092129603256941496",
                "212981605406369399802372065873299617377",
                "13619103602623492984471831044776069324",
                "11738620377090170098340550394378258515",
                "312803694267838336494075776962262583219",
                "67681038039720566956582836025721186853",
                "67663720482399026468316359423581011533",
                "120379007530945810093807154533950045964",
                "331490384936637753941402173939177684485",
                "339377180458078861141374429182186315629",
                "265109410425493785217484223099923673211",
                "131012197039842789545864432226353433882",
                "115394273742939090121514943992879636507",
                "272405459737605735136264268240381769484",
                "275282900403917049816187497678179589656",
                "273503745141311162456120802870009699968",
                "117731705705643744454826871845975975923",
                "109546659802673408649089945596742279085",
                "253769008135862617730758761858951623612",
                "59632145177666472340328985818208128719",
                "123031767930074505852181950413059557718",
                "109609003448451987749157754510311445969",
                "86003822047363410431877258230795004137",
                "143331543941548078459638510467518681846",
                "190554376754070323367538469110752226850",
                "128646311110875332101756413176922863626",
                "74319613951315278156260441628762661317",
                "307747489978073982150223324946718724847",
                "11758582395625441413203981315778900238",
                "111823626963231677730510062250503448738",
                "43902413587490931137393372212480626692",
                "862938191413788316413359560813351466",
                "43019530220087181736636181831230455567",
                "333131857788307740108585979718900657393",
                "96880970463355985969229625314099787118",
                "258429612976458610531544753742112575985",
                "154349030049686436457320958198755986484",
                "311867199474738561908320308075527942896",
                "162668338903760653011408936550667855036",
                "122534560019088845780232460474895572296",
                "283099102547068111093356674304041481795",
                "310777779895280696107003558270548352060",
                "211669664706678064044621397471352976939",
                "104616119592049240881540444898578929107",
                "91458745897309771615877993525932437671",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "263874057709835589893400205828924732226",
                "217196700271907308341172164515591355348",
                "10688301303143664180480322598085827751",
                "223148808108949865411770942771744143563",
                "168456624747022082004768090110179667020",
                "143782329426173228188338486429371452082",
                "155070746048500748813921979305171224273",
                "77597110232438267928365452987050915937",
                "58872638841236384280779326227754907119",
                "37818086422790124560625208024888790539",
                "223804245794311401948012413773934036171",
                "168870896547695231818639969466424286170",
                "56340166476839716497013271560431720321",
                "13728941451577192307756008476163398852",
                "4909633774383776347109827426287272237",
                "331291660602276983108065146134319325038",
                "226930799177910620796740233808056303343",
                "86417821323261714045872278764329273815",
                "133799580300578044734410929779998030016",
                "107422574705279657212735131085909681000",
                "56545072118584625273633458480442115482",
                "186814149830672989620422315173059246517",
                "319962904324639828589742749024631926721",
                "237790354591337061848432681113256975342",
                "125754652336750357503056846249353015092",
                "296086216093641573516992980413875049154",
                "289427808554839154423329772450910192602",
                "246672451553040630214803395160633071521",
                "227894501201112641194886563889851435735",
                "327405802388620806980339475767241243934",
                "313822559916900745685217933300325357558",
                "179183173680357699894540651265753413649",
                "278099871483606357630103514897834735501",
                "69879900941503744352069847870771519444",
                "68853179862172681867960025163495168426",
                "35695825229226380598331576708062606355",
                "181595586899689553440622813042124937244",
                "127843739717810648925871673068974556478",
                "257548999956842057176113962019653385460",
                "228781654238846447948383047291972645392",
                "295240444187253963194355949524485291118",
                "272517033838438009661585498626598539512",
                "14490490159580114119809454495681669014",
                "207201638257017203487408838757015196010",
                "205022620731403398692178355015732135327",
                "249368744387178057351117565889089173809",
                "289799006109438902495178039459152769391",
                "301623026171058633096981418899693653434",
                "140728190907091214732409258774560454849",
                "340128467700794585094890974224154250688",
                "284448421551520946765672350775095269457",
                "97290116175214611928427523498942735007",
                "257058707365976523303522279405883960632",
                "267099925585893291208467367215550358503",
                "106248852051017319624025332164522947726",
                "235748289354182526064951584687805911363",
                "29358818187943163162747777406222765763",
                "102129046046417863606642797889479368271",
                "170224733589984080891083276146488819662",
                "275492438246855332737821149431908974868",
                "54737246659046562114520716567756277603",
                "196158415844970016823681649666379226185",
                "273011996418104413957725749434891577784",
                "173938285892299263420924601199314333409",
                "183006643057997371219763275550969715676",
                "257215353954352100369781385520482156986",
                "202425911529235488747363534376030128817",
                "226736727920471850513939340177299903506",
                "136827659849772446166557498215914658023",
                "241769296426732082242880366707302441166",
                "100623303293606415701507940042528103330",
                "315335567826524979025116735089183246959",
                "285844447967246191127711754709472053469",
                "45013740824456643251021213869369304216",
                "57195664003242835438349099858148422870",
                "9430995703219512917824073389664894437",
                "226840139252718299705388816984093139911",
                "193436892648277987002484022153904654497",
                "204564739536423184841045994462337574229",
                "21596999175852717533554390544346819211",
                "38340717548131915844991370071889044144",
                "26524901173224076418952198824232677211",
                "157164169249635955997003057133302871128",
                "71186117321252712780837806950470396985",
                "129372106527064462869696325534217871103",
                "270217893613848520400212055414348944530",
                "250143298283005691783394731655114557158",
                "132749617446537412583978052246897111928",
                "102178340604549434679920551679090793513",
                "168178878104662725764847448026677581249",
                "75768156760354547396597273373724652705",
                "226414034590183058771673565645813077031",
                "140058861524878603126606171714238508049",
                "156215369349542199191498237108606695361",
                "256710798283498772882737623282477226192",
                "105708719992081093447413730573561256037",
                "33982534551805009454836406182873499564",
                "145072204707219254152164140395820957800",
                "311891839556831885095565427425014823562",
                "291154277215118405483842369534213535799",
                "219317950199530407717748757496932041184",
                "256072979276605644597419285133492150443",
                "195493071447149874583259693041015479982",
                "301293421092728370070098391130663935986",
                "13393614079937787916888669248237361950",
                "295430000714192606400378564351298664333",
                "126926258311039252669722656424240059923",
                "328320097496536365349362767779459568196",
                "23716460602033434469923083993906969464",
                "18414700397354362038584608898468720626",
                "273317350760251459484504782824900090672",
                "272950488487517666553046808767582911044",
                "215002100261358662888952794087167364016",
                "47174983784390932341082688105177731062",
                "60374515640716573828013871952905285511",
                "95982832181633742422114396120578347938",
                "106852782985486304758125816426536343434",
                "54962717449087335378959722058192237889",
                "194251972093602445465846422494609503894",
                "118751473058077370839946367275732415239",
                "143157100011380256149912208667379210418",
                "251753477957210598292128001262170342724",
                "207571592263962233317416239759308964274",
                "92185938890078626767566128876383329404",
                "134706636281432313249962958852578178460",
                "37338471458669468994936641931485532710",
                "318874811873300824362342841153973731124",
                "238224984641397091718379850130427018418",
                "37799818779439737697592471970325723617",
                "239564181901102489031171472325177713618",
                "288993611118198999097324987973718940504",
                "16145787002493407617149585093741255912",
                "107449588419646619384208103414552189867",
                "202610123753982376282934922552349816567",
                "214306772730164631817478927710793202065",
                "269009841724771561138625294765053512545",
                "313381502930481047192702380322428427593",
                "304034122450852123496577448594717207994",
                "314825739769469089383819597732797807636",
                "258884211843354848808709370994850262704",
                "286413193650999236349957955304186097504",
                "40820740362216237665126468348117431671",
                "311504480303647420049508357523903474551",
                "17254852750392398372059208858366806640",
                "293122900161563227225055802831602059991",
                "76690662706646922359947799420973566945",
                "314212331838682417607962504721049016445",
                "331544786469617649175193264215022405442",
                "271749793303135062807885644973358362519",
                "291635238346778168271342369140606551337",
                "300868747024895164572383060470338948030",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "26500541212422863002928571159275623205",
                "205009138775221562306439378210165480984",
                "94703120014016880797345253519380482065",
                "32603786651668502739848240841566183749",
                "117224485734316555447662141662320441376",
                "63870297117155327206161987720539179482",
                "21024227025277598737026647587418737864",
                "288084643609529796632988756672740633263",
                "256331941670373761913125512940471550257",
                "169586156549784950720784171051942868893",
                "301738542451800381159093858224568485141",
                "96747370175390805297483262224127763772",
                "41015138152737444526036663401451876091",
                "334998778358989043966911485357194017934",
                "204571969790959991832583312860272861550",
                "135270398510394399479536022148540788055",
                "173251703821506824745751630572846652516",
                "18230754744701419058638025400436199094",
                "152449299185053125776215444148317279169",
                "287827519553028916028677625465687687448",
                "124060530698833889565724692832712342126",
                "221901104647413365246810805069445857074",
                "52362414581448749129127765593337924399",
                "282650559086947423376703690125183887540",
                "43516844442668341470079590219594590410",
                "86701456552339168005695834214560890870",
                "67085478451685589481322557143635872042",
                "314142653537055152687601572236228326824",
                "44177224072227656269573295309058341745",
                "207246143442277226914976697637849834903",
                "276280860739727451019763255472776797585",
                "316040176913670346799332802176249193646",
                "331880629172895879659815084759312297482",
                "293576997775268172870361966178968229844",
                "236601250473796737389431829563356025411",
                "160562124885508857318848703797485337005",
                "176820056449304958932395277358560009424",
                "132986398101538178679763075143042395061",
                "265519249113098770822736241307096893436",
                "162013185919806735297751314592197807470",
                "258159898644420807634998079434070531089",
                "138538535056216440235139008839164551268",
                "193370362245720802941648277398539081816",
                "337416869728443728439007375823301887873",
                "218949753487749188557363363013359336191",
                "334948837332297066103798389649242726715",
                "4445155649519795625844284779888876284",
                "35284605088835349836268889123751503118",
                "72044204430034775369301020244815154124",
                "107337871523842149826041653926251621322",
                "74787614869085431598087891075771693546",
                "261993714015396009504592060119741079694",
                "199386713962549683339555784316954644230",
                "68814443670984719841893937054285790914",
                "57042348679903227096474581087845685605",
                "313442243497798306319422669951175511216",
                "314828733843162271965021412872540924100",
                "205635919670174680551666927051114930618",
                "278792710258993997314097547915785928358",
                "17361442578723772447403779725324848804",
                "51798218634585920688533201073479489583",
                "255612539468899081110087129343250000108",
                "30411183225784195693888239307553564822",
                "55516886633301232087421520133086614188",
                "153941928317171937803504359435237157489",
                "127301391337605040484987128968030467334",
                "71876615832546465120496922887938317419",
                "327598071463003942489473613391950646892",
                "312809209442242667440384831283714733867",
                "78119367135054534910439168873010383010",
                "195688381058826578958728478298635724878",
                "72384806100419425841225028553683357669",
                "220681001639621267536660014960720581366",
                "30225683640425994452780123811053800743",
                "146061089047399014208590646412238162573",
                "337442429371654700903123745699844070212",
                "50992747231267986419767568248131694461",
                "103541822571445862581310832857108856512",
                "325261531255710377067631976959755858612",
                "92911411101908533504419639791106429060",
                "157186431878784109411042371285035837816",
                "39984732653851545301085839076487593446",
                "191346609946482635545295030062996873941",
                "152498039309892475536108419237483178525",
                "250269338154358065355572951798303359596",
                "211273924795590117341985553258274216023",
                "260853880589794001538232664147871408987",
                "277546393791301434223337421121394172891",
                "271919102506274821097678743231174963184",
                "35873847895059755906608064583453779477",
                "294287945289166226651544558032552837044",
                "207345785241252850004194632391188523132",
                "58833093782292398565915078610285090003",
                "54263953428838397520006934973530198955",
                "49238313921996084345497791190874579609",
                "339845762520931952518596147503687498678",
                "37205447747172932703347818926280485469",
                "268072068136721712589792610797955455855",
                "59230549561600860503123884520625076499",
                "172138905771189902768020982893044956498",
                "219481391928048820108162300678062204109",
                "73909557691656622231757497706520014660",
                "130197212701853559530043816715201326926",
                "22052777170646073440419576535631115924",
                "322174767228057761672725141525807698363",
                "172396651239785813450163352433688185765",
                "172173223738833693069800328034309463575",
                "221441764128341073461210578144790191367",
                "97933810904754144185414283674897557512",
                "190541124412698871239608037953724191492",
                "512651834756242551859524277550606064",
                "244225037559352658328208786765869858163",
                "340223461802783955424707327371950506916",
                "80089207261077495399000318435232883933",
                "158655140633552017907082004240851395705",
                "251356002763784902195811183166107497718",
                "61188606078134424757636260788496583311",
                "222639907869943720227225428411278959460",
                "219203378207283707700620827424184009619",
                "100336655775028698575414899103309393485",
                "335536378159553390259781689833608321597",
                "310692966295721849737853045296898286488",
                "289430836306199210208043665181132315241",
                "287278895211765052860189215489814369766",
                "231158726734590104020169261437892661476",
                "254627110989836761762980440653387028835",
                "331782402053060544450585258909675343583",
                "100523955351537562659596637413037395581",
                "301742653968527207363523895219461669809",
                "181311978673676423041742031440913073288",
                "338872798483034036190062346138162069168",
                "222891144329773558099947392137032973869",
                "90335789643153855999554948057443986166",
                "205146649415738733929351839322944036309",
                "213419110975465103835996970162610653858",
                "116856145604567524154229773955381673891",
                "213196130187194021258071818449814443236",
                "331783284918576335248111390218916951077",
                "260594184362872844237440948379415909734",
                "155266486021376680489381609883810023026",
                "207392753429094380841014713629569974466",
                "59960921979355068217485009214676709067",
                "151667323157321610173305001852154170518",
                "83688020238398199366003056282772309811",
                "269184930762523674565491690782499492989",
                "192604451073088023730205894405330774086",
                "318880279772749257186585319159987195602",
                "129499127395873404571654144950527504582",
                "320228833283482029535737779100435991448",
                "118075096813144150689223320558154626824",
                "201508790166388260697952870436990213287",
                "121200837225328301513497093655367431517",
                "311956201912095479950589001912882086624",
                "168934797505232045969032501112249967241",
                "98780796982798756998856072096124025694",
                "185470473188115876445586225850535254502",
                "25466991454814655226458296145844643911",
                "132816315702556984449378666455765558239",
                "69931122474662052125119063133328778041",
                "158204859040451258434820896566667145614",
                "239455929675496837126678715017881321558",
                "109689060646607411956257006468050428534",
                "339900563350703805933609959394340576034",
                "338071236162682423655809843989489209469",
                "315436115440238178626168335466658518267",
                "65235366468095187540879028721470651599",
                "291506775223847195461376033673985775137",
                "37627235862413631656896166388188718222",
                "298204872130372423403453118694155746586",
                "291412894377430568007840238127206168128",
                "118503137406582636851938993924296813741",
                "313304763096334865234703994353822254758",
                "138361296344680261769726441631451648338",
                "106636718383722585954854284027427168744",
                "251976187044184881035000885479395245119",
                "164516132060387572188734462562708984822",
                "135309221677343813400165043156203940648",
                "49343944730671494604208240134212146186",
                "280272619375896671605522269394039738083",
                "285508766104147605284456851296232660189",
                "109536210407873165040634297900669579330",
                "209693290378484019981243717926356202003",
                "328372347039575808671368276633226506168",
                "136369175562278546014065215369517133267",
                "250554735566447732027272488272243297505",
                "150527542746041330090421553869945881509",
                "174680606448559173409579911915188122774",
                "124724242256391841134951284651238829884",
                "233653766928111495507074737168897935611",
                "78309598454148981696577260238653764227",
                "184670736414546458700379825149956001836",
                "48282666378432144735369763080510261206",
                "114299780895666828940380876757216522515",
                "147467050658073458391325735894954255614",
                "74463687424974536484245694924600823745",
                "68634156197267042348415072669091017516",
                "293131298342808574752415619708611501337",
                "286647136701743256289338045808030060142",
                "332589760241226376471552041348574644577",
                "65954445903188113234258981470772844117",
                "144945118550998301072615536711741199149",
                "62791447312831719018629543710343844900",
                "132140379788922267773145022478201735508",
                "199760381761420865341771581851663359818",
                "84292304414155012853496032808074223494",
                "55644655135437943389516981196052662273",
                "127996416976458409533371852518243976118",
                "228384764105007376887932007326034577512",
                "42043179544707400929850241193584428237",
                "69789343988533019140895893549797176178",
                "24775952271330293343962425264541891016",
                "150367671339402749113508161902601441384",
                "252000580351498189096071249986822158114",
                "313673353420367774446527151539327078463",
                "141828936765460168488966855947567470606",
                "29431170222455655653887523394072201518",
                "223673084444472699860979570821385014161",
                "311612179094858602084219042585984146709",
                "291987527745239561949496612796839954965",
                "126701811268471704490813374494622345461",
                "302561983938460012095091896470259972164",
                "173535951728672712581997742635528225411",
                "140077167589399855351377298996472604936",
                "130576036867339343458016091387895421338",
                "187252668189928094443374197035289327913",
                "85662544043922596491531896766474244001",
                "267426907437100083978797757095938310270",
                "262186619550579668399664808877159071015",
                "314643623172776327010895631512687418509",
                "97356683866005682287388864079403221520",
                "316536361015962113758518408163718998119",
                "332799009585833173512051941734012093042",
                "339533670774371924547663522811965114956",
                "179213704850346909886838968202100013162",
                "72941264059755010938189814687953974030",
                "113182367169799734860740654676246918883",
                "95147781816237747829190961094456011127",
                "32383807663650433818754999886734686516",
                "97117828141489780851304107122504878424",
                "101165337101434648565700604798720208984",
                "312551000555442221578637471149582317976",
                "22037288882409534961126911064681927087",
                "118684829983069692545574643042382619368",
                "324469280497761780134425283203456842446",
                "331971849643592518635563089143691823463",
                "302319453515651987344787304156038472034",
                "340170515034300247695280282947199566777",
                "222250425761976982991470493874309305700",
                "13158012168068305603670046044995788973",
                "2511559914393028701607199822281572449",
                "20337649904836302857788065675885122492",
                "320700252255269766735533503518428406101",
                "148269842322574272618478689213398875570",
                "64890711134219039266141625578215596421",
                "143144116741696371772528360006978976160",
                "180106488899392847372142818205467347977",
                "96564138349831094955727689402341820410",
                "14417960456771980077124911797937046552",
                "291280406559865660318430364248574470863",
                "242008862411130363912346972757699356708",
                "307203869393651445240915963985053091866",
                "152563735831767280114339868910965857372",
                "73478727834429104535035204405993737520",
                "171205818206227464736927250306391373407",
                "16596447293602629939877406111956326094",
                "40300359162595544512072779108219287744",
                "321291235241042530235547305692429975788",
                "161385846630972778176767335390245601110",
                "282265477295014479235305914295677347739",
                "172825036450712233704926463060237044686",
                "31308802770379316939573520199391643865",
                "339919481216857079211207294312774538667",
                "121178836205922635902202614357066876467",
                "222617605825326293383017930419756643698",
                "98918485777450119210847140881300971138",
                "16138568828724270644745790868125274797",
                "299706151109464879738721054981334947700",
                "88105798835249723154898389938156135934",
                "3922023611032489343686776981482842038",
                "184797416259245981669982730324360974027",
                "287609452283233427494517865286769922787",
                "170143129562319424415481397603889618288",
                "179998764014539278657742464775450214741",
                "52716584902519048903562847586881052881",
                "232853080073597903024161857338063157582",
                "147475604773802129325419378317565237126",
                "167190304113980538322429745562081560358",
                "62374519902065611658335652990938476408",
                "337399146579987511149918978760576264222",
                "139853655846787009467634320817291809721",
                "132344806176808740030693136954466795781",
                "198701957613727111876529212510588032806",
                "155837430687654481483618792322125734602",
                "217594074989530207984761892064841528518",
                "261110932855603173685104229845954461134",
                "38137285934951550336955893771303877485",
                "112353793345497786597508972164800916155",
                "242453359766862267298576439448669341055",
                "111369007624621177253878904621314458131",
                "196969576634668573207358432396400351048",
                "231489432068501319097846825569595715051",
                "203941311588368724780348114043462613964",
                "123084518723917550194257824245694977842",
                "88335763681472890809169771013271087506",
                "203649357859883509055101554381560773119",
                "283282278946512650729853433353802322876",
                "236775597660398892524004629170625967494",
                "278460665701526814300311769378493526417",
                "197519357160269266649285665288645587466",
                "16361623507369515130146900752607738042",
                "25844889008241086782160163699104862920",
                "62114064739942791380917089159440585210",
                "304142528049610516794362027547742555897",
                "235067441016388151012318699590914162843",
                "181694554110663214505911774763250091332",
                "196685637622607787879762094768226905188",
                "32576710257087949875745794702517357463",
                "93932679824473843142106933701663855723",
                "272347353567558149333259715367033447205",
                "207461843786435992499731630226619805812",
                "49121853980325791159302515831526975342",
                "59651529818097766700863528555485254364",
                "331711083125626238114225029811972321362",
                "50768578057451680413374685208836509687",
                "273242863152981297834663670654309919604",
                "269233197515219459449948811969998035985",
                "119261330674178297802015245265100313587",
                "10583917949766517509927755417912954418",
                "280244507126958360478715962763978571643",
                "249044316442326310757195725018478719436",
                "237623153593461213270718004638902460965",
                "314513206356465377993617127167753747524",
                "52716996304365043259684981297049937007",
                "70710384119700469882667000838020832297",
                "221140153305574298936140967335679758594",
                "301180769012980824478020835097821564591",
                "26375966756712478360654316848206092144",
                "205856682683131501765367303496635109690",
                "103624775728179912065698062903258907618",
                "207646045797134876224680664583798597724",
                "35614891086281467132454956770445924511",
                "263976730986728353393080008990534496679",
                "338608165889749557559435206590173903012",
                "150900082956090101863341759266364901686",
                "149982068909290118722114843637407522317",
                "280120604093132280948357808673089604942",
                "289139303286291813836071772480953328452",
                "183382923755762806280242592706534311797",
                "67069786122918022416673584984914899429",
                "254080942676500087481293454090238213553",
                "150681334044347826528224319463297392622",
                "4847263356540812020327598692946654756",
                "275285212767644849492858225115715926580",
                "99317132654213466629651751604817059201",
                "33479123843042637345232587276598390133",
                "261024691783931070155068199617853845869",
                "99207412461361360902340992095585114729",
                "244084603930486734478731067305669057360",
                "115657845494624108617616372735734806771",
                "205408485232348279218558309895021000618",
                "25976915852519832429536401628544803323",
                "96704519236937375987204665791395499103",
                "151489536866123214487965208764007433064",
                "55006816559708109457327194753229348428",
                "27579678886168137227932508480101420094",
                "310742955066823649577645733731399312126",
                "131050122203993475041744249065536519038",
                "303414228439005269277675694453500634550",
                "176862640786284782920893605627671357143",
                "259069372011019261959842407455153290329",
                "67359384911185082711426962783035983084",
                "16442080977438334629351521473270086989",
                "112619032481766156545894202307743694722",
                "130070317891783343128153037897233206040",
                "15819664133192487645961476585430794224",
                "66447226435282689613008606547848363963",
                "339912428389228633830528749857938685197",
                "241826171228540488325622542330662067301",
                "285710147536038957951132176842847090866",
                "64522450411146827086462434183437644186",
                "193527123568051820677779728263379606697",
                "166291607314558009912817829569059464637",
                "217343029688356176058994433142850266954",
                "290373774786228241788627259130640990780",
                "182792553472833251449452496934694116647",
                "188851551945226782041996438140399106893",
                "3502021916481872517839691536340915456",
                "109249786848527507694269599323940387037",
                "318503869287064269791886490962020838715",
                "127514234386403974717937096330101931970",
                "182600249598711062970447907586548925155",
                "180165442114311760979656034026196745059",
                "143904914152450594987705233936037270285",
                "339071423478142956923184529594412591410",
                "29479032274153733119135293441228320708",
                "197314536524069882517264012900759017976",
                "142713211654308441518636127716385431122",
                "288573164849976919664394572843144371365",
                "278489902597742040596222357485887059371",
                "334005516989731580586188430360852749348",
                "14760183384411419692120028617220015613",
                "82910462946622570289712612145750006418",
                "53780971309250266155886613714030582212",
                "124805880321674453785400269280310131413",
                "261109106917105935410436094039078634062",
                "66849518575148539507320240598311320120",
                "55969845814290044068087903140096735297",
                "293938725310596199416637637603610187185",
                "232764452244879123179847256254110122718",
                "163433701378735349531148976653217415284",
                "119492046797692149896348351545738383038",
                "238940194822410992985849033569020994055",
                "125926309694919773329084922475096453805",
                "11417801607711927835273076037771443050",
                "311059834858671383266911633556764303390",
                "293355237672205979312617707264612704177",
                "104145368883670236267454021577030952449",
                "66711132715193028252751327259610795927",
                "117004894923793430855887902709328030331",
                "194698729354844425879013195019170522668",
                "183629603701773478965649795550072773163",
                "271723065545997033624456549052801531983",
                "307550155818658135219795596538806572136",
                "146122753095793844771477649280483710187",
                "170504137075550568271795829351986993197",
                "169402794964835076374188349021333038628",
                "718684028137916153109034822286967386",
                "287443493439243656618260100728626200885",
                "270045359366186464755679686410015771725",
                "213076243078483596014613492918813650887",
                "65642955387336406099036732333543091860",
                "110772011011783087367569459517590884658",
                "317136571170062577846876536910013745154",
                "208313198370315665384598856511758233807",
                "331727903583493492146207994820067560624",
                "285071301005359251759041672049581069124",
                "237694251212698684665393521876996436297",
                "252684532076851653618643144274736143697",
                "56656420650218706198435875652018520453",
                "253712970602162391712580812191644026469",
                "294963590292208249051333230193667504983",
                "77477310914491798593552641549482809575",
                "258441126648349588086307941590456828271",
                "107190046335470417277039887550938925459",
                "44530198165319986110572948697575543121",
                "273029703912236128257426884483198248184",
                "143496161794268265850981713843937744012",
                "33004252051219060100972779902338545197",
                "287991852653086810306302418072811078279",
                "182194414736494468313775124923342601416",
                "135596745013278797323241197003494674156",
                "192584783682749299550185982653719833984",
                "234522221062293316223520049905289603323",
                "2709286169515603521365102382980244389",
                "236004368535799883942102888067076505910",
                "16659645850901547434766475459102298751",
                "191560605196755255963987190541503388191",
                "116057618471415074903941900201418518937",
                "92044239155638965701327933963661309180",
                "231153481257767373039193544271706875721",
                "180798467648407684857762735825027037623",
                "168953353550565453327294740128077978647",
                "56044640714907985266445844326079731182",
                "64632379231570223994808614285797713433",
                "235736298230245173332018360373544066222",
                "217541840570625973252067853848815006709",
                "338817913554395109442577388182652456772",
                "138508812308125203987002631565418502653",
                "151993042870302822939618716010588555818",
                "293017850851102905186960917898087977813",
                "141291833349040131594854605981010421083",
                "256684960896971372620367736285721420353",
                "329525198929242705022470175973595990586",
                "229534055125835765853587774291414088682",
                "228333968353830757117205868944233595057",
                "291229062440254336568640390669388528796",
                "38859462742136635866881515123727554402",
                "147586032828116780429612938635106049771",
                "86029565423319168220051031093997564411",
                "144907938343103187103815878756596511858",
                "162942736199358921894284812322852231382",
                "57675836240193379110261528966352021957",
                "289414592396494603978519954845531105194",
                "278855967374925873953342409936351282541",
                "182294689169391738003968809600992235618",
                "222906024911494931851265344801118058048",
                "174414687093814232827349182355437318747",
                "27862776528591290355314935723127808806",
                "262238954295325619180131283853512592691",
                "230442246802758383780216361121977721854",
                "231762455573049434539571433604481070797",
                "290340563377781192886411218740943121149",
                "285324200040305034990293666977143475625",
                "168016230381571655934388587166926392131",
                "127045314869626133683171034222816151912",
                "189108507259305392432949297455427711224",
                "200246948770812839036363873560429781553",
                "262315061580065628496817200275622749381",
                "201468825411910957825348497936226368339",
                "4966979706585321037646531337779152616",
                "232837685289595231171790701504552380601",
                "195513919612910858490390848841360082998",
                "20292274152327759724180878635841027668",
                "20440935130198702555158306099467571314",
                "193447324003644667311044967062715323509",
                "312451292213982475627543231418538746208",
                "236131681904172070350348236631719175523",
                "210574691543663009790903775454496192405",
                "273280261096379911423931362539650766889",
                "51915631557653692565876306318345059476",
                "282831001573110412299174416429401164737",
                "59787634672216694807349529189805741381",
                "50838090090293786898867408357860505950",
                "133904123115178876968889301729907699713",
                "74557248145555841940167379497639430405",
                "301308796915432904346579909214064491444",
                "237617075051698852080903866093052802708",
                "68468279888738859576576814002390232066",
                "245207468642976745777103459233723063427",
                "141718468973843199656196022178479908448",
                "191652616337734314690474213322120783052",
                "276902367831591646042787035743436906618",
                "181247678246335151061998780954406455667",
                "18023161021937477387577627397728618204",
                "294982554226821650988431001938555864572",
                "300049305167758587867633083057996219853",
                "7394750508246079102706671547185325412",
                "44552100412978517949092939923404526335",
                "49400348234999458972221384531681097344",
                "235970906962172585306334623227813880196",
                "54616628132525681658033463035962679546",
                "216876864934184571173265692441514158401",
                "59154038899940542055223909749744474014",
                "234543510871017697228484932558934557021",
                "199327823980107440766144978548188391009",
                "31663680348728580632515756636358684737",
                "82224716893187717384267135938664561873",
                "223476601746849988514081830702004805518",
                "195504688481467103604109871107302671015",
                "46747495795958736437243415671766647361",
                "246819911228276079833406874308255285069",
                "171942277684152070673194484217071203776",
                "237596809425072516566169627542188100278",
                "11416514646629567871421486871284947970",
                "69546261820676960906465075438064269579",
                "200563999502752765017340372619983004815",
                "55614835660644405756868668147140738917",
                "209751407259760430867018134760909929783",
                "71733357279713787734924281545821656234",
                "38896229436874645536977039810786596786",
                "112480603357896086894048658266573961949",
                "228497755589850659658245976623492556033",
                "134180941127990411287940728901069796861",
                "188469362372945225992724322781065020057",
                "214824236321299391144450536124860437429",
                "40183184779700205489095032931048377275",
                "199128676204385044522009515697457124779",
                "57410264618873653499000438058463040698",
                "302891399961161322380977153296820517983",
                "330850775875443721808340011039522559099",
                "198351102158264312192540068101842986352",
                "198926169931574882622658337693485600238",
                "123526839198628396194514720749969069221",
                "121133909828746626320933470533495423395",
                "159201219503852986584736230511935052506",
                "129518379917487861552961563173694309936",
                "258065051600264739153388307973908739286",
                "324206729778425262214176904804051364880",
                "23526718728929304686261320946799028440",
                "3062262001462199391862433213443162103",
                "62839819075527471123501586376379730629",
                "166604524772411402909653738968678681515",
                "286520739197596053861970501822574878352",
                "33900944757456463559406855067376826891",
                "47348744225921799711880908537498975579",
                "77725662298612753107457417840169082952",
                "128155613973866817841742642931367998581",
                "30407181441578753242008576739999476692",
                "153520880693479361696967338241054227676",
                "186622047541431546319822811995721607004",
                "218034477868972700906511125322155659528",
                "177571453178824333896652586385479542936",
                "128178107447342051807225686347195355218",
                "108249303431748600269003430308302816982",
                "139860976426345641710883925976960206602",
                "27022349650717809591511524308816978883",
                "162937544364994607965275010191549420602",
                "90689568225710715994046467870056148314",
                "311942511553174553861194701391492740355",
                "319561971806353083707408198328539419936",
                "18524955218673343984918913921179324223",
                "335481391808707979278622123193959939919",
                "51664037614452913528059745960104233677",
                "134174393790572284163028232363907565856",
                "327092339665339754301325128385700184201",
                "110543144561902749193446506141154587829",
                "179658588353564029021501243645264013631",
                "93769938051496303859376218459054830252",
                "296133832769587973148854320804646960402",
                "137205885365089097295675069507653888289",
                "170932190942496519164896441222736108747",
                "232147266433695187081782096661564049173",
                "92926879683109808913581350709549110879",
                "150725243129433569533326773958042579539",
                "15972950617382800704711356082316428810",
                "192695003146816581777153441041885877412",
                "21623761182610011370824771368509344236",
                "288071613603159285704107693132919362621",
                "285950336506910686145768802471766751712",
                "125255826648305926407045396273092819112",
                "234626567242455788988548565665307113727",
                "216062965660690745525670160810364066417",
                "327990806885096584063223896310922275735",
                "335138459991939138128885967106195174671",
                "42447961265654037124013382779012289082",
                "311842513671515510990433239407445991584",
                "251482341265697077475550949787498388931",
                "167036083270756706032822394899593829809",
                "225588019874223555130450992864929766298",
                "53031083986413321087601421717105672335",
                "275984433956252990961333508956107625694",
                "195448049142834176841401014952937479290",
                "181257601975437437011049413730889232659",
                "102934882464056072452406101018892179199",
                "231954642979700287802434150248026312149",
                "118713355694574386844253166883216959461",
                "121617179652812977806673426018574263102",
                "242698000995283660771312649942544458715",
                "76115496733072063082080238875235238558",
                "159789604958981536719399688668505774438",
                "42583214233559738281467221625129814555",
                "210069188948565418455613792153565507561",
                "299225633280962813758709645008264732621",
                "298619382534634470705435804906874021566",
                "117485839072280956269839182599081290684",
                "336531318072770250820467748622976099412",
                "306977545125382634527228796255800045727",
                "325822080525305483196894913004441504022",
                "132140892773133065692543705878092707526",
                "319312910669601741553706117283575335572",
                "79083878558112232262156900791981282381",
                "180206108083862294444213911842607591625",
                "170399657246036747436477546076406900820",
                "165732384805029030631170164013746549509",
                "122550263086367810472276603209584843666",
                "225204839918983686290183412841161142614",
                "305165941029571662556099800772035247037",
                "254670582337123298608715564280917692632",
                "328121393092659043542693162813388353857",
                "212991636792672892586497988456351061008",
                "147380129782758756068324966908454688927",
                "295922940582281506824385919574125857297",
                "210141447558009888592301626504496377468",
                "12422759771292237374658698087539527542",
                "339519183606191187695820101133617647546",
                "281655954389789868249108257313265935235",
                "94444819566836910703755940644975514409",
                "4175419674063254351975055332577597135",
                "62703251757657548649836814339462044358",
                "254462210183490435664351379498977985138",
                "38397181100441455591286552657629773185",
                "148653066485263891919113805323965281852",
                "327849380457011765773973446945903375256",
                "205882671495657990076517585970401911865",
                "263677950233466006847524510508980169560",
                "24384945556345528214556428840231149784",
                "80398045758786427985177246395291957725",
                "107542745279754948906025890693012103201",
                "222450725008220535122695240969872218162",
                "228303344320950045821780236336343162874",
                "86272171861647277275260782929413779015",
                "323435714847139062138987156614253234525",
                "334289219856205075002714964271298486310",
                "102699281962329197424672273037072478048",
                "104679163542504416494298349521041042710",
                "197755516940244750834592808911078976275",
                "233346948321845551729158029539483237634",
                "17035642777344181510276805711504053268",
                "210282675657645954587597309739628101078",
                "251989590288839869883976015014768732114",
                "142862679218694744065088326319586403339",
                "339198515167037835236902362420178006097",
                "197585986407879637700281698643414216401",
                "34890125756143805177987444402006970321",
                "312393586523778840746888834464059117308",
                "8550885048966728688704643836217282734",
                "314859903425059060078658541735354926670",
                "310745303943428530894354011325279604334",
                "196184707960839466912742538016840680198",
                "88088505656861168285121001849733426028",
                "108442846590169108175215021777975312496",
                "174438108777356815343476888061404939305",
                "215622820799413306282523235817625409320",
                "79307871913037557127638798685777434662",
                "296296386661942686509831116747183759889",
                "52683070300723117027399739567267222973",
                "58994912903867427913713182674154403845",
                "116197758419622896627288100445155819727",
                "271710101210922206412211817341899587448",
                "56596507998740823229270632229069226049",
                "112409174384218521438247369646128131001",
                "202994651023114449202179857119041127084",
                "195117593420072101996491402031937810430",
                "213738124605464233172804718051843112846",
                "332664362099649964276945378536346745093",
                "77932039793054100111046575800258018658",
                "18802063232578996056084135678040458924",
                "338506177482832609558097306862164873377",
                "87205110322005517091242099758690708730",
                "43901201676096755221055152728466650826",
                "165733816333540782288928373190666297089",
                "134260704971498183305085133714594529809",
                "299977926345612795222008897215046965481",
                "51754280822172633288806860314270988591",
                "244093271175031142044711298820656252107",
                "75126759036185903911755422730459435443",
                "214721390779723677009011231523931128974",
                "290506551931271250565112998739313546839",
                "236172377092235080015127547911316751630",
                "272919827846773638077086795989205858671",
                "89543060829500728816229008584703527825",
                "69661991038818877830546366701341397426",
                "270651403749755657350133638835232395748",
                "156235186236760866277221065748680376294",
                "171152407638650342201766277690360471930",
                "151218251897470137062296048729471603601",
                "307674631102720455827628171616824629558",
                "123752551407460410935863235929647818477",
                "74212713246871257231142723599355387483",
                "215060986541047248157935797250290566974",
                "305464457755812020585659893782890666786",
                "223561355285165177638185437012687155194",
                "232044506598152820267441041003872139032",
                "39674291398529695947980689512130049991",
                "177750496403520500098116686443158540581",
                "184953854980585628503313537542085336589",
                "299937373914287562285450950329216326418",
                "223317295891972333420537075879086239748",
                "239709989875691871264835202846703995279",
                "180244716053000323950363804214429124329",
                "229683332822843419628241588069546809027",
                "105087400609371247237145367965108826149",
                "159416184293684601851729127925676762174",
                "58851487862829947085322757318529947247",
                "127187375364840598425961344324484680313",
                "96897377609719638358658955743825759047",
                "316938128736253571249246500096940786568",
                "208928630696426811731346764809286572270",
                "164913988010747990488876643208473311620",
                "141417112182980870470354431708608015407",
                "311421054143454262667621167781087506490",
                "229027133931356425635382359724425308662",
                "224889978583452635004077147562656444039",
                "124609025221178483655545747899185524880",
                "174760452216014628044530430759590734218",
                "297614732387811125526570266435394277295",
                "170476461426263687457975724442539741046",
                "286601666899098278635856659064443936470",
                "314175955314457227189660681287472164284",
                "60744322014875835390957285561861113070",
                "113185022177382353715398825689287589889",
                "257610061500663586308623378856971284005",
                "294055452890638407972945848975708587547",
                "336331280525657968773668338623215153471",
                "72681306364675977261501526811453405249",
                "252008425185230921262713327205823314810",
                "173815413269273321993268262950246081431",
                "295422328232025251652276075317754488765",
                "248006399517149031264170994311210675544",
                "20445539356061702707732080020056716565",
                "61078403583028971031584340541517622852",
                "41966826961213087940620787373749995783",
                "332677435451227577801106406556671353271",
                "115896836823734419011644057006376549120",
                "48595360227344223531444887960029945028",
                "13446262315429286639846259304332514042",
                "37103046224258290311248221406424284870",
                "222223390981940570507174950384945545393",
                "25263273694394544128188269768398451925",
                "294903927752114737259930592979980450254",
                "312330576067669959345380697096185987067",
                "263628452857240990888394893284356658680",
                "174587873423443797871043780322612105197",
                "51787461126482884627838687546843425060",
                "139161594639051830802565624302645658606",
                "70567428159833388304989047405764944737",
                "149900087752008681301738223909189961138",
                "172326132939611790298691069343488024115",
                "260751476052084609824113799477223260663",
                "31577604244192137975068052277989632048",
                "206847420971783917532368217140512579468",
                "200953821725759380508852235345834982834",
                "115037249916574004600870090994876914524",
                "336858712491943312143571955308585693452",
                "73461761778948294922842663786835412299",
                "181110336454222667775992970402061755321",
                "15045710894856409462384155974667350340",
                "134658848624069153309811018485349216746",
                "290245925157321951960215858399774715928",
                "219071772139186196022679959035273768282",
                "327496849795054717619606556715147253827",
                "53165962520239794837424118792406696671",
                "179667577085490082403103216258563381873",
                "109743433236829105874641221332957331396",
                "205249722105393137365997481351225425254",
                "14357658017728894243433464814130900552",
                "7391773158570198760071368349616637532",
                "216970086349208952780283237266058688885",
                "139233594961232917823386294402033177063",
                "256015404648673218996242446904978612589",
                "152685883141105838042553228611411447778",
                "276251860569348920837678164188067937673",
                "127326635560290233750592533442015087397",
                "313480298725684376622937376983257455267",
                "101377326088260755208701031929403260877",
                "250848575412283555316072645179251012894",
                "26970108885592971579266357451054881870",
                "316233525739482987720680446819718304819",
                "160824799797636490936698085187468335911",
                "304388324065135935679231695897075225250",
                "124534513821107869112315925218916675956",
                "223319560639232912556172211155619966211",
                "74822470402183753725815285704750784124",
                "1172293945617761412977217770239342749",
                "317892164873149055131760131584082553721",
                "172437517101949629796825508630806638447",
                "87542863560863097975260988981320637122",
                "239570067940083263613077875791100812226",
                "158698389149115433925326877872473013481",
                "273321197195422858058524479361150082048",
                "144654501430328370175004328026995346653",
                "234778060774612088687037221711139738911",
                "79940711422519527294067993840774906210",
                "110427012605923786917565328346480615567",
                "150670184243994181876494104429986695307",
                "25634995771820249953613975065837682592",
                "288040429646556722669954897803265513111",
                "308235963253330854586649649147365960284",
                "329584859734029755794951138766365081303",
                "22979583859637365407758104929026372904",
                "332426292559697098595519253187021011859",
                "286345443877541325729549456761030210510",
                "274013952901632123259994096109762967736",
                "14354734415219350769696794937426014160",
                "323535268843651582537338771344470666669",
                "249427370809601057112208738681738588351",
                "39304571598948130325063702956183573943",
                "96347852354129905599960618064321038454",
                "86078899600101282250879280775523385372",
                "32284334181245110323341970124646823966",
                "269309892523190772133491365007951359990",
                "256787693330113611813317058169755637956",
                "306574658758380811437046240515375355260",
                "156605444739891667356962590465225574174",
                "54848524205083835066470119629442699863",
                "110635301009837155951197885947003582060",
                "228525181200377493942104037316983446670",
                "139673447015783634719212186403685503822",
                "328025340940687073067370225288229700363",
                "183022193606802667095977447052762862581",
                "115388423857396659004220707111649747265",
                "304917323328501367074467139526024671070",
                "17796465990350641212625012858051344007",
                "299142676463874833121651826404349551090",
                "229397772591941354748157882699449971342",
                "184326221245845838465892140061103932724",
                "63579136298946091536650051876313333301",
                "332764370742308237765217441829170741292",
                "315111863392937103457344981888635170648",
                "152903337223174914269203036443745864155",
                "330606788033358179804953815035322790772",
                "167775603994181875857589331849622217034",
                "159693599601252885461584094568885145334",
                "322593757154737976322574803193717444383",
                "199228601554797185921410719255593996459",
                "174385374392162196305870116179573060554",
                "79027920787460584925112467143553923454",
                "83588026222115614855354073559914293995",
                "321257210932554337623431571152363885721",
                "99235694637936000021523432008098060201",
                "83702860274588107765984914400544348234",
                "18620454036236289089466883355112747925",
                "321011222926005457142318548760264703731",
                "217983412225771511657286095445341099584",
                "134698461566154291350765309214312969392",
                "31867061304875798563310041317368144993",
                "204359289235663830393650728925434834583",
                "86299774404109241912809753501273339018",
                "284747657823675775435906120926334522809",
                "85587761582555209709545259396749332209",
                "261734403577725951165781603420138932158",
                "246161914985338240323742777159635713001",
                "33557562655947257964896868608571796763",
                "79161895382858970932328249754345855493",
                "127235479808045987455163106541738632349",
                "262284090967048969063477262283504695323",
                "66986718081609172807729320489303230745",
                "159568195151879835029515905321234009199",
                "88815956872800624497800212086341128333",
                "291959868565589820055542104473269717965",
                "24437237454168988124946456778287052698",
                "178989982085979087737693969075922822856",
                "313894469734049046088457737170193292729",
                "95069269709886667354813905524778038970",
                "81679130713628222331284918965494756233",
                "66962429927055729006551973988013134986",
                "151104250338932173012430577946538228698",
                "25732547513942769077445378816174536386",
                "133984100458610722490706462605543727536",
                "10546050329710108310049966324513327670",
                "233157426049452765590633182644018087229",
                "259750250499254985994390159045579686610",
                "171819039305252733304041606959070928016",
                "258562162822537460611659083775176547494",
                "5405860190406321239402459971776907002",
                "32381774111866921491470655218516714510",
                "131327012774353947023371251737027653186",
                "255596510558913945960393285267111113996",
                "110723776453156269219178624962919383596",
                "228080121539029740941053154441392369683",
                "240952851932956623842019295809249372416",
                "188106648401613586606004920625385393950",
                "305097958126395497874679308740246084740",
                "51153180668652464221306114826980647284",
                "124944078998884106786381054371520874704",
                "311498683845194651793641750983351530124",
                "242445388293602603027977147045472633899",
                "143606437694416405182956342364925264072",
                "120538136664398270303433607276089127498",
                "11530361640188813051628724008191315870",
                "81882694788976910747401227714121405434",
                "236742441955772381166873069513083004666",
                "33009336815740493717307164492312815357",
                "286127086928900560638939178167751070843",
                "190550463021722575576227114385615439247",
                "85621393171199763349424648659138898060",
                "283853579384439409511408772020480201387",
                "261857701438253152280356902714713309345",
                "42506850301351882523134644987166729184",
                "59200366602353256558569051723357882506",
                "141706863044729393633757815332133727693",
                "219675964510604430897429835169017425298",
                "79620167303831704364736577493690933586",
                "87233008090781890691856683267818312980",
                "255120120529478715166833972488032323733",
                "213412738716581388972248595593420807424",
                "269598594833652357967105498505232314123",
                "186572338239560061640832620983527428299",
                "305561095893920562751443225223155009533",
                "125765473498036306724647976761021091996",
                "120262553421716222471101624823285925872",
                "113490074365235216866380341929606597212",
                "214829521052728509015781419930236699483",
                "100715962606142466349681585507868287741",
                "308048105065988379166931677585557088996",
                "234381928832040813927567581640141897901",
                "136042337333883237607856962200832408058",
                "194519773264753796543295884953248729993",
                "198993808409212062578423562738770743778",
                "230269654702618496233637064459901474605",
                "262416319636387683087688274467512296227",
                "293304035905588716866609882514590626517",
                "303600988826789325481572718106069338929",
                "258851659241649302382792021987253896093",
                "219623993550416635004692936330506054997",
                "42970655331097825050133585774451713942",
                "246704754656036820659688341880187684048",
                "69944893817679622603269434378460013317",
                "305172928236489058458085592234808566787",
                "172522700443587224645729376891483026254",
                "228110406797928541822616824065169722451",
                "207805535169684408523975704653350082631",
                "104516297791211691063185885350063557824",
                "146225775368873979780787301450980728274",
                "236600453209881323995215489249615129531",
                "81985389009501464605746591162820008922",
                "76979925380040316838434540985223694299",
                "309312861692530322890202771987115902431",
                "224698409148118406247440253719595159283",
                "278687802562170202650415935926044313903",
                "182661856319237840189583995162253633203",
                "69020255301816083816617286975951537585",
                "130327160390340353594085143857375583109",
                "124652909321675539122021205112167309820",
                "65584527509100046540344970492245863478",
                "116411286798258249600849963680830332380",
                "255589612322315871325764310223397581759",
                "243898861748282775312608028302970390658",
                "228747181086823528590016255686700375549",
                "84108658154464148414187565666794223141",
                "313468916506315518067229006038794077430",
                "328167008033774235228004539499291792714",
                "23317124099971042595890506865796990710",
                "210834121842384537109530168419222229415",
                "49321600230318532663878998591594707524",
                "55314516492443223347299924843017763955",
                "176674022536486238705787842510581080547",
                "326318244932028322163550800850858505138",
                "123321772070105186630484157853667606275",
                "1408246680255269094009150024450013584",
                "244823478248560380257752948762160755785",
                "125019531179355382098816687032690087859",
                "138652992153458923945114582549158246799",
                "223286188762674492575816526326373903436",
                "288492982551643800176411626482061472788",
                "179513926887639643917111498298484760051",
                "260319563472990372498945182406701180878",
                "72955084202479484359135007101478281635",
                "271099300759172644248099601867101493175",
                "69443316403914671487173648427096014899",
                "88908950878761243311409798075798860222",
                "260588585381351274828253872008095289904",
                "236577158052395083853804542209917006875",
                "167736204142837270693928057999919933371",
                "128949859543948070479055023264870262191",
                "199547986863969088651570459157783568496",
                "312822334771374879729905742546269546219",
                "324199465586570375334483055643349996768",
                "321585011342515841006663309204811648659",
                "1857354998119996697519665279166353686",
                "248575043932932534700762327228334691419",
                "245664787339822915981415609246625776441",
                "180387334957953915386984762063383787039",
                "261443527048431485406984102193816831459",
                "257037440455342752905002962285785825257",
                "260280468113236749276318177145768193770",
                "213555006703961462468419024901429050267",
                "33012963228505459385417192941588216576",
                "216669239964941070996882028148762943048",
                "101212584255981799280982714707021174495",
                "1944535046748114947194944233497029327",
                "293027938998140601009111169257956710712",
                "129590514783765807510977694533590131033",
                "334563107331131696238602300027923120855",
                "35654076365117720508875472414071753574",
                "31107873454023086076771559490199560895",
                "265153122247272714042066737914984980145",
                "234069182022795897284998917346865365234",
                "79835642713269086876414950925958482809",
                "141168379100225546954153184003228938030",
                "256599470032913847962614951303598819356",
                "145098383610793984434865431470949438030",
                "40257688055003874976841239776116151330",
                "141747570252090656361835055112647625559",
                "93629852919800814743664364972552789114",
                "27117965367192038407513356922093732683",
                "190072734336052076757891388975249468088",
                "35724152914175552114764342747896642262",
                "329375519256468528434734448469699987789",
                "182895194132184749737686017240796744399",
                "315028349530004588739721388719624181100",
                "254431118223050557287992656183588693512",
                "174735699408378264683427467943077430221",
                "63872877671828716783829501040575102890",
                "238335021311088155133310547037274463017",
                "197324989381220772363990639072678166018",
                "165224587799152229275516649235943822702",
                "62168975841605852821124536945989741385",
                "167125261818924158686085666189397577394",
                "12504177622849029451740744697940688484",
                "160828862445376429355228421287643429580",
                "102684933967442082772798155861266463586",
                "151220622356347889880771783474847439597",
                "172826722455061601420816798809793880834",
                "260925329334215384496847525632706659301",
                "271707165432021514647983028340836914483",
                "191966831095845417536504694856505637928",
                "201397869993982851357324505246757467384",
                "147993419197074160818523976267284484939",
                "139731341675179613430676995645216262753",
                "146554719813702111912142352106854213172",
                "325112245414416511100070782494103286889",
                "204453538479764591207968146292948003670",
                "24541444659512675799340107859400037738",
                "119673258147555060372668930827511972901",
                "213430894247691529885873907939333410934",
                "26380581405748308447342468309135550443",
                "165661900463608882577386587614051868647",
                "171887049497373443532365425876671419311",
                "181250630024113823805611155798757521138",
                "186333395938622782803120921585832950037",
                "43800493975008761147500526294885404634",
                "42008182602765154454404875406752930100",
                "124088174841733675353422932264176400943",
                "328783687805679287298859140213103024375",
                "83977862762830597077367689283801488298",
                "285645589496805032877811016211873774481",
                "276863667778548768528061106313172673582",
                "48090063640970994714346494555043565254",
                "301099249629592188711566603859104157101",
                "87666956406411988015509348517747203369",
                "58958832775611931376974292112707396455",
                "27513918365495728793255510046308357548",
                "121264077849646473661152294977435507814",
                "43541113964681202480908110113800672308",
                "327357231473381949970971817820566112320",
                "204166211933896260593079702976702870279",
                "152565070550943803411331621635585350410",
                "13215392427066985636220495560784569244",
                "48653217268960315773621472817385419754",
                "41664227564056469792863975166729003066",
                "339840332761407452730228459251180341700",
                "171356871771244515806834718210993603730",
                "17806195556005930463684730895145957825",
                "203176181511288363426571346687405645819",
                "102471813272244794514411691903689637710",
                "167242491351398720495607234155492877604",
                "42328820503465084931936842419291197447",
                "172021701441972579254010184464972851558",
                "242624107411398154044905845014707873536",
                "2526386353850438939068773993921191932",
                "165992509620393200902432977884871126844",
                "312356915322926229966670088491964706594",
                "144963335526841915796048662478976763631",
                "80054453166623802610431348270915997573",
                "50232758432118353610195434519670658384",
                "39118986721138269134577342583799857295",
                "314801596069242346791074723991534023527",
                "340241166512215966298042557722746992619",
                "338566641350388784931748071459600909134",
                "15241155166551664640738679049482928503",
                "185576019167614658763773341759942798435",
                "324124310800799899410095770421126743716",
                "209710035059909413629605292925888694576",
                "198019911028014174089318745309028184684",
                "85976796398278169766544015780258542514",
                "94711227403013960561411746489711420992",
                "187907566767596143521289703876985266759",
                "194424047348565783102567532689887112178",
                "104921277885528578888709303419756670949",
                "193809253788059780611278398076942377428",
                "297232899378573014206155431123255416910",
                "294432131725932717915787396664021203418",
                "80973770538931063972373275147305346812",
                "95697723776802223370234335459697860831",
                "31866243050808704520849327092066452120",
                "144899788468852933334108199183263191111",
                "321251070632350739253164498896730140039",
                "273681098021829611915652069106603722009",
                "204168406146510097417127978548583317212",
                "132558343234156691111610315050431278505",
                "24673313735385951511565805499880642125",
                "61313099371519423428147762099426841457",
                "317215656470064358695375279650112145830",
                "197716148801207652122522942826869557701",
                "203632721316161460742993501582505652773",
                "207913049247747877544353651439998617894",
                "145539952274955870291689016379339781794",
                "152057780854582094770448916005485271706",
                "157922930279159313489902467572334020881",
                "256040675144597169292839314497388077336",
                "109515449326446407874497103984348136890",
                "66577724391435438451966986410118415005",
                "296788156987275307619994733046777743577",
                "285676434954955708309798971344488277150",
                "312553250764896561498640900324450552749",
                "5347264265577013818964631592173497205",
                "68256725207712659707458631015564006224",
                "159599112028307365777440218462333591596",
                "55972656695551647570851598050422657430",
                "285994274851636961257871417539558881878",
                "246033896289487437427310826888715068792",
                "198217331434913739760232061234640792926",
                "2166430183455835101470130935547032155",
                "114513255291555858504191282399339359304",
                "17221403601602887370573697237454989278",
                "170953308807336508759817247004454167733",
                "72187060326461156135449059816163238021",
                "230092410960159098429440993444999913205",
                "255807426267214065847722027363539483484",
                "1156893524254558899576053045319113219",
                "249266390935810539417290422868571139229",
                "37244545279153639151588726723010493531",
                "304406532853504987507714710360890745755",
                "80140145391247786498916729480807672216",
                "325993293016838589352333802460697142395",
                "63152933110795434873010357098334018309",
                "123654442778687540505718505003673131595",
                "126411322877858585504796631829411650327",
                "173234739861508159431078287449981831509",
                "292080944504430488524416804504404871978",
                "321434767702248719229551074711238563366",
                "37779248294568833667277787212507605485",
                "297817261255690221610995410632356904188",
                "34817001688706074693385856882495964723",
                "93954170185150062587258248427358792635",
                "160921038554178606888596819092028316863",
                "169346141065287259586345933854207665534",
                "298342869834007763366012265717632541695",
                "226052452460848771970533389751532121708",
                "169941241408650672322924548975497456302",
                "268232328848814209647734636664287087090",
                "150010385798792025362936255879185042531",
                "260617036447945281357403534653773591037",
                "316498022667987901452801558263532770282",
                "285441116057636281014152627336674537028",
                "149926188994322185260930116653147729000",
                "25617193409188283004746039212406339390",
                "148189700617191875597907250144836374513",
                "37284857780273569951221857424515685894",
                "157053367059731351855228400200267186941",
                "91973170448733453460333369383057474423",
                "330445607026418582091664871106615606493",
                "72994883905423033222441126969608687342",
                "183962652655699487988496314820247808883",
                "265082328152711720238803594690257713801",
                "320996937384013789861164464507518055901",
                "257835311286728204609875974484519894060",
                "52442877344123025704281544080449997329",
                "334573382486198167962393571186689167272",
                "335598105027569363859600821587989791119",
                "105793523406771868747889588445739768031",
                "213985003322665135341130495759209562347",
                "16681807297191217050159007245485923150",
                "66616924297538163366657875267812610532",
                "339569512149129815130871398366415383979",
                "153102799672198511953684286322311458851",
                "99882228261484488943362041576838496401",
                "130277093985868406435261062917190459686",
                "112703659399627229269274361316788686694",
                "36218539530346075097445103130784164403",
                "48211453065298803925702889270480668797",
                "257669128665768812318606548827110674081",
                "109556521693603652556317471756709868162",
                "276883080831007285583944989951529724530",
                "24852382850419967798280781182898846433",
                "105862043124310388747825224440897754061",
                "186963670101336640296140367648246555802",
                "229970629510265378703508618909641316920",
                "283214339332980214761746044019329439424",
                "31593888378514857450739384216805978494",
                "280467590932399082657600239610413036595",
                "270935663417463495702840395112829651178",
                "260447719819565244509598476241617638630",
                "260432271910812811728844371692148842182",
                "46681877822197849482703693127052030081",
                "21973197032140636688651332114342608166",
                "200545980772898002543828062589850522205",
                "267492732801406132943757410105272266408",
                "156481445610985225402036278145968593535",
                "334131299818112674927090874473754092597",
                "10804585094817254428503635696137409765",
                "219030841545970879155584918678000385621",
                "283787397934755110300122156250056134294",
                "65566707710724282481444075681672802480",
                "296941263174751904749984457753193420356",
                "83999508592053787030523208148500098197",
                "247645099467999364211120545883287748019",
                "141490146660979434009944687912734173424",
                "167505226359424881459921224541521583576",
                "217932669556662016315999177865205311146",
                "136342616157700131162841514898431758319",
                "145897228173062013455716254368583310148",
                "238142671686504603567202003855543915105",
                "336314567212670570146176565157909157689",
                "231382968839624408006408560908401378762",
                "294001369439949115361926997277855079731",
                "266973866049784514343215060021461139045",
                "281263693421454505237956788338479023149",
                "112936041989680133839806056597376151023",
                "320514830868948159950947066231607038988",
                "290083831885877177563272182439026967921",
                "194096181049136598613279930958235286684",
                "278699491180893795181637291555618685865",
                "295729395378941846289068300955664421320",
                "186256845885908071976944263547813538137",
                "332096191642760347353864209746927568587",
                "203839750868866463767847553146019293751",
                "203425686930123785237411846860674169571",
                "29247514675829991565222847554191728706",
                "198341193532190066035410383931964694691",
                "280446582146818527556568822724726237781",
                "197575043699548041706183682653864758622",
                "248716603479148128844303233673142316708",
                "235041328441784211472991218107283304165",
                "73845690200127584034897811761800830375",
                "86849725826765466670116072411023452104",
                "133628279184883124268650366169892690611",
                "99463803830716532600119314325742515147",
                "141431326215109391736969291763332730401",
                "28335715670494528304648990211472164767",
                "269819295265706733311410856349636950861",
                "89302295625871052662464421442161330022",
                "151008968387735691637174663870470788146",
                "220919658459051627542631126669743043868",
                "182943062500518541516861303528222306708",
                "85955286300811783292042259490491386553",
                "59054002031696789493330105903088514630",
                "157332788925302166554438796587106731134",
                "22517025827019112093653233463186264631",
                "123551954859534386760086207294920901372",
                "288723247322096244012770833208403027200",
                "285983000920590972772269550243488010163",
                "178238532173083361574594448160501929160",
                "128568520528405275037146753377326902012",
                "327368757708242181826390813323836755128",
                "57390408788508416880024731606130902613",
                "261199599759361189153366126571475500139",
                "205630936087754911533923379828208409704",
                "319106399955755521458093502351716522829",
                "43074718072862737135284195920430747156",
                "36564856525885781506763613003737728399",
                "25656122661580896617803070353944834972",
                "168419822587376038911288961633233263641",
                "337516662542609412797702105663648132472",
                "5162668982710541753561557071891021404",
                "272131919067318202483899230352036431605",
                "224579280806940927625549366132591422040",
                "334923460337007373212336517718999334164",
                "125973618137277413247692420850122901310",
                "130057057825355955763546038734620149656",
                "329984541129086886182501489696967279065",
                "204669918830359846301142488365314273913",
                "295419080909374397016207424618599849380",
                "57191485267295222709229802733252380086",
                "141322072286325794909171122816399052561",
                "158555838894221457333294932376060578806",
                "102664759435907292332100140460953452099",
                "28114725221098084446229589064279291238",
                "169847182740654329636299380048094548224",
                "70727629740972960490094872009506210809",
                "177176080470878907119902849206740350644",
                "247484082379690010111925851891851810888",
                "241071270721273076336403699977870120305",
                "338184819773674033228121688633352180034",
                "208004830439450162628611562034204586640",
                "50303764394596228128741296866464759827",
                "260699639431138012238374184621375100373",
                "238134209029150608899295457783778729819",
                "334802377526122316533023523427664014744",
                "89580475205309439328064670557855418367",
                "240712779074230467765376311495654483353",
                "123130768547126983704043573123848670081",
                "126838668289362438968783642399170797419",
                "313997384829403338204681594354617583182",
                "256721897144101094796606696690275927420",
                "292941236246362017036806533935284545665",
                "168217523128726959705039184072329185698",
                "230365850993338453347911054841255678133",
                "21617454500784894157925995926897288712",
                "196604806454532454800734191145083101754",
                "252088679739376827753112105416132345224",
                "113112637611289712196120201101339696016",
                "85391403556841292272438979378640797953",
                "292155250301288526433418565440045008153",
                "283346656112605413443462399609899774458",
                "294628379388961828788329817362906482348",
                "245950696401209963926604529114890596830",
                "94282315661601162630359871072415609139",
                "168201867155020529268118225061594316160",
                "47650404108459380768405700597587812386",
                "288489885537578123462147069823129817282",
                "258860271971014210623088992078852901094",
                "148704929260048422021115035233411095630",
                "35732763198344932111005058673007730425",
                "298397312787445503920576573784938854883",
                "203983591975675541561829818233598362380",
                "212383624650613163116081939714856326911",
                "258956817914158057503366267059243576411",
                "104284756462973508601491963665918843723",
                "124864900689779057601783163370325927084",
                "954440041073206652023519661172473204",
                "140328928184506747501172226597083480129",
                "32838297625537728403020257503895380972",
                "137997841837948145491968379036956683228",
                "332925124659744161199146192709906582435",
                "316955727011536850975091152043371293663",
                "151902850040579881297692626541415615273",
                "145313127384568350392964000020260533948",
                "30918519577771051531411243788675993393",
                "30405332541418176272966222031971077132",
                "330419066080463996936811011639077276582",
                "99539216002428200766300003327183790851",
                "90486705411841533909328421941704381184",
                "218981424162542688625001260470165522026",
                "242582225854129916073286278486682784993",
                "241448195830954214614521908204659506242",
                "206370907322463315320319867102635047986",
                "248967097870500034337432029607869643014",
                "300708373753078561120459896641046537478",
                "58629498990924733836841048727976925699",
                "79136625506004364094397875459900578484",
                "324926161662960840885431598898053623430",
                "276045456959254189740156196374095879547",
                "69148012397690290794550198304182666211",
                "106328541400318106809825244903215522817",
                "66415584978758956089185492389144072500",
                "286074882360644093775982604098994396166",
                "86465183757091276576161731314074179210",
                "295861766899732844214816295839682741591",
                "25202981491357734333958645235579566333",
                "96474115079209480383699789788598908707",
                "283163830652277592525732194032938135035",
                "304435753124101616311355486631175838022",
                "297091288963719133412118506993306437320",
                "182465091880723231534722167008956407580",
                "335710745742182939894002821979244672146",
                "220425551603836679676220515251236850114",
                "204763622536485688146183025695631925300",
                "276243363068519219357790641140972576226",
                "172148135503440593438755704814424884825",
                "237118795535502219880220059940390228984",
                "54367995875378850991955765443606150910",
                "6592143745895083507432737205470589098",
                "27283478357389900394096210216424818653",
                "7894528160789446781748225526916912947",
                "113014848461514385582801666451788694931",
                "177178800252430293114148934832124734454",
                "50524655313782109942902755836910135043",
                "328567763610908256313259206822761795152",
                "115300906645779570010339925164377876757",
                "259026449134921870876278017620167785146",
                "120009185805270287135822710409472150211",
                "188623729979520143119406964024797724270",
                "63954127402125362023534667312248826222",
                "267307692365033752003032393019010091557",
                "45933416888236848251117740245836494657",
                "290751401685681137130210034064837322659",
                "284419327044786703958723991463539385327",
                "39193550942189735470528725158331957630",
                "339135034768487990059138444586916317426",
                "274908175840895939341589334189153688865",
                "299094135667755013477292876205028316818",
                "294234727669160051485702195266208794349",
                "34823799011888272963353153685699429229",
                "110971711895984234670553873266278322364",
                "80652748661124514437091507762722131059",
                "95397313163589939342201493505259267259",
                "263850119945585856617600861533169583247",
                "32200002906560384324268476107295771968",
                "322338633601740151086065112171178972818",
                "110305316680197802807929569518521730473",
                "290170130118617456631144600421877858468",
                "119938359421672262534234741609226419142",
                "136135415456618975669303928996329827601",
                "260624756511446811710523727613890717055",
                "282094698915722239522462492130226896669",
                "330792023895391766863980919114352055262",
                "113165662676526449538053547018851264349",
                "111522816742013297872393470035154343704",
                "24757535064531975169300330296283612834",
                "100784772825033915983889739437398705309",
                "228364293030732533694183703449235192169",
                "187035437553601480143770377294111513521",
                "51255242307060075854714119797800674169",
                "182180821986046126703612921029446059119",
                "207839381111512868259009525244078492878",
                "176247887057103497773733447360195664748",
                "235642647091844817468420183241509122578",
                "337117357308700341743338076263117233081",
                "214871078563697790926111732629770452540",
                "176751320204210446505358399206005276829",
                "220435106613213948869176404310699673065",
                "241882453439502623657869230476261270932",
                "9094024638875665357789308221382907342",
                "44055086165659989030846220564632151277",
                "231309239564381891760434538776796387336",
                "303612788859698917522143863146265663346",
                "80006538429028544311818522796293832317",
                "263723780151564298041957342785115579619",
                "187499905940551480588758834192602334565",
                "200206933082358151389355011091200238726",
                "80153661223123848946927964897992597816",
                "241431013930810329559792091886674244106",
                "121726446119141663809533287237594879996",
                "174069629398701139019224178374668808179",
                "103969786242211073571529223390312817573",
                "68396877113154527780399497983156866234",
                "129416212458336633731424724065343692374",
                "330585137438468024394465466411066573984",
                "89610375026203115314282722038895086504",
                "172326082734885251444581552007559608575",
                "254264130709164279220187484325491824748",
                "191304572530880807671200654994062563593",
                "39419590058128292797641986764058725276",
                "99604841941514606466821986920747200989",
                "310614213854017119891653692933226835234",
                "238915068869708704679294250660924172765",
                "119928220673374290448488633277932004231",
                "335856239507605354265685654866947084971",
                "244213984132823385263901813753745857454",
                "261795411752791678845279106563985757886",
                "102453912855335611058168340323618446018",
                "292041673408614243223073437379056125553",
                "64383686040879312020926987030766636904",
                "125318755661259912080450278241033544170",
                "54243037200473731148216762160547907584",
                "169911244455100903818947642562609612631",
                "182430745258835052906191277025103544188",
                "259052751216674856343185152533985424404",
                "288351829080246615553491642543067682905"
            ]
        },
        "id": "CVE-2025-52484-8288ec41",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "17414485230689641546210241666157278356",
            "length": 41557.0
        },
        "id": "CVE-2025-52484-83f0219c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "25158687251283430448209594028768272070",
            "length": 12840.0
        },
        "id": "CVE-2025-52484-84fb1b28",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "58829614681703357025242745914883442751",
            "length": 4475.0
        },
        "id": "CVE-2025-52484-85ce71e2",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DoDiv"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "8126715207837898386291608345302027326",
            "length": 9497.0
        },
        "id": "CVE-2025-52484-85f0a9db",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigIntStep"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "32652557659776978043555076759683600890",
            "length": 43221.0
        },
        "id": "CVE-2025-52484-86ffe874",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_17"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "168622132752425692185368573944139435921",
            "length": 1695.0
        },
        "id": "CVE-2025-52484-87e1c030",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRAI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "41276831133719133145729248404794441766",
            "length": 1428.0
        },
        "id": "CVE-2025-52484-87e27a78",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "12642439884451585175966910165838899195",
            "length": 46157.0
        },
        "id": "CVE-2025-52484-889e104d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_15"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "290811699037264848333411265019294516701",
            "length": 917.0
        },
        "id": "CVE-2025-52484-8aa51d02",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpANDI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "203474599729297824556603048744347358479",
            "length": 950.0
        },
        "id": "CVE-2025-52484-8b9ad2ca",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "43789926783932047413458505165268309125",
            "length": 36727.0
        },
        "id": "CVE-2025-52484-8cbcbc65",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "327063005244553053928878325934736158098",
            "length": 1343.0
        },
        "id": "CVE-2025-52484-930bd74a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "14998602566133609270343165029930108001",
            "length": 12972.0
        },
        "id": "CVE-2025-52484-935dd8b1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "289608100384686140276795616536967284104",
            "length": 39382.0
        },
        "id": "CVE-2025-52484-93cbe567",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_6"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "255590786310927363150050622603288773540",
            "length": 7895.0
        },
        "id": "CVE-2025-52484-95ae5755",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInHigh"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "333414217987719542503133857909201442483",
            "length": 47269.0
        },
        "id": "CVE-2025-52484-95e096a0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_4"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "52399942835992991989442149271140929803",
            "length": 1275.0
        },
        "id": "CVE-2025-52484-96e1d0cc",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "17414485230689641546210241666157278356",
            "length": 41557.0
        },
        "id": "CVE-2025-52484-9837c95f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "165610444721097183597541043733537453136",
            "length": 36831.0
        },
        "id": "CVE-2025-52484-9931884c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_9"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "25158687251283430448209594028768272070",
            "length": 12840.0
        },
        "id": "CVE-2025-52484-9a8a4d8b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc2"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "238190377488998669491528710199725768606",
            "length": 44125.0
        },
        "id": "CVE-2025-52484-9b6fff69",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "poly_fp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "158626546603976785908269965843235957045",
            "length": 570.0
        },
        "id": "CVE-2025-52484-9c242306",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopBit"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "315894786269165880599094541805294828517",
            "length": 50000.0
        },
        "id": "CVE-2025-52484-9c7e616d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_3"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "43035428815642959088369995856773691789",
            "length": 772030.0
        },
        "id": "CVE-2025-52484-9e6b2ed3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopExtract"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "331074861983498133529926793508501966604",
            "length": 527.0
        },
        "id": "CVE-2025-52484-9e71f78e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MiscInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "127696853315748936612300445039706263024",
            "length": 1105.0
        },
        "id": "CVE-2025-52484-9f2bf968",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpAND"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "298964309236062607224148150611573999350",
            "length": 1250.0
        },
        "id": "CVE-2025-52484-9fa611ab",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "302950298555987349014447879196785069262",
            "length": 2335.0
        },
        "id": "CVE-2025-52484-a114e64e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_5_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "309176029445487634854533751662592085981",
            "length": 7363.0
        },
        "id": "CVE-2025-52484-a15f0577",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInShort"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "174515425003606379763336284188169847239",
            "length": 915.0
        },
        "id": "CVE-2025-52484-a1a7f218",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "292625854986191866384021110204299364602",
            "length": 497.0
        },
        "id": "CVE-2025-52484-a329ab7a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_SplitWord"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "243276544218274453697908395259173270019",
            "length": 47353.0
        },
        "id": "CVE-2025-52484-a3468c0a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_13"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "23796583044071817265128154123750873282",
            "length": 917.0
        },
        "id": "CVE-2025-52484-a4ad6a98",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "331074861983498133529926793508501966604",
            "length": 527.0
        },
        "id": "CVE-2025-52484-a4c28142",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MiscInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "276271724045071641743767664945140520347",
            "length": 2260.0
        },
        "id": "CVE-2025-52484-a6191506",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ECallHostReadWords"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "37523507583898852801074666088813374128",
            "length": 10756.0
        },
        "id": "CVE-2025-52484-a668ef95",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "119058200329694075957690526848080158836",
            "length": 7888.0
        },
        "id": "CVE-2025-52484-a7bf19b6",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlSuspend"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "499924919537416750141070354553035738",
                "172048518819336372272405053024639473744",
                "177951594727892571339029658512964318531",
                "43539275134073168407608027009154844927",
                "250030478236799028589119642692835893710",
                "273771664148303052064282587472301171077",
                "84612714392029706270581302052695136082",
                "15103739677049227074447078169848184444",
                "99756871742113158285082958403922891606",
                "334876475394889649105838236709880468318",
                "68799418628141165872575651702364837860",
                "86690351344727543097718955908970561388",
                "103395573611486774543858385692231502987",
                "270535614770031338020377120692431025215",
                "104624973897181020518771104058619907313",
                "168655736508924271778900229882125564192",
                "331920409660165368045415521099733663748",
                "127567487671259861696491273797253389885",
                "187599384611162774371103960577566501523",
                "320192088288490591711435754902109331459",
                "85005160154299227463095183581020388829",
                "155503931618744283802509495680851519814",
                "16542100246677593479645979031352198410",
                "133845484946503831982899418963896852657",
                "197919712886823738786106117540032643521",
                "10068997767076215127824951793672389459",
                "267901948032667964668179894363428431837",
                "102967073932374699229563827052303715976",
                "21931231688603989368313870027858080789",
                "163000725882436668020585481154977002114",
                "261654431227822949758591167692647283373",
                "41439849429730510492099502592906363708",
                "98553068999890410827830276511792661117",
                "61143733454463817375615566727203553283",
                "144814076565721050555603097298728573340",
                "74373820387408649493642597874753799150",
                "164172595011779870588379161684355837438",
                "74393397500459934555463479449768250058",
                "241746083850679865368378526624251717465",
                "267108560520028046785750515724162603855",
                "144284476081695964085286082209099965472",
                "73132046223314818615150499297515461469",
                "219576145529926015141762656953138152016",
                "101279834650306418456702848948699737398",
                "187667919102481584890412018833688856671",
                "162370010516997328851005381841026944566",
                "131586838804970282083769330423641878543",
                "113095717431252877413595786782524886697",
                "290528510588554060813492688624823593843",
                "259022803430028129558813048209103613234",
                "35807527971205223360729405712192409218",
                "11891440139866121542616773575841228457",
                "161675673489177350608814653583983741712",
                "212598149148381352258809159583470585060",
                "11385533076636347523219610777887249654",
                "235605451640252218168187370980688491087",
                "332113965364535117740561239500318414650",
                "196573907632262560220428869177053765383",
                "208168470960606754094787007602724569994",
                "211474197580953666337194449754183028535",
                "225684224667375177434164803186657394424",
                "55374224006765187358389223505261704423",
                "204528515117610432719726691640232468025",
                "175723178704171666917417741937383442043",
                "319412715956258756005916493643434149676",
                "174879143456371584503697803971568566109",
                "273876227562177839982938817137108586654",
                "286189707924566473651928408274409924836",
                "150707133849709224381868696093981343898",
                "155118825541077248525421955607414029366",
                "238182132301252233273840498048148534601",
                "269223125245150218523866895793562316388",
                "70950681154236675043793757737289114273",
                "311064623038756010722731675028124931740",
                "170242721526782681801102462489188664104",
                "15441540185704473914777403537059733003",
                "151540996536003132583942095346179908292",
                "318980252792157670826648010406022756479",
                "75379074271716038224052739044023529385",
                "76980092061586597738935348753488752464",
                "179609581796563619760987105887558351138",
                "94071020775867333773431955754735785810",
                "256638762625712305027729174872974009238",
                "320809248331850428910814399355991855728",
                "264010179679500385658104928750221946947",
                "37059459796650572504131133575381560506",
                "124259679526673185030609964068829511828",
                "62957664308643072152241898700167889386",
                "209235572261386097043442191725225742514",
                "289220836111794849148022452673405328259",
                "21448206200381959090381451465018384049",
                "293705216086400914402577000592594503024",
                "242752785003254188033615696661004507662",
                "223920261129208012359627779203915853928",
                "128284140410062879999475799536221615",
                "302180453425742127546774577205998232657",
                "284181187351756542076709786314945647322",
                "174743829910793024766740813664694794800",
                "121084841354812807301277151803987438599",
                "139084822136963127210071106855541151678",
                "57913666958949230371617286860035786864",
                "40969764745802620793631735976325901826",
                "311413357686278387871548996253204841968",
                "164855966696707664260249260193480469543",
                "261680478985132718858291552553474621568",
                "131738128204236082221663885440143925233",
                "130606509295389514202352714462132916710",
                "182178433365669780914843518124553394746",
                "298368064174874953613009373700316330115",
                "255371258024852298216052801319937203070",
                "32892508088008401028978788737790358925",
                "214056068822214593469115702477906872594",
                "295609505234554058718845696498019598382",
                "150292336494536207526422811886788532437",
                "284135120288178870573228069008940087308",
                "65404448752028435878527520973202635338",
                "273433816411479095754301637092064988186",
                "44156227840072433264672166507561969622",
                "59092032006171541874288784680008981543",
                "256162472894573838832854936907942928922",
                "215809671200128618442765900448888817975",
                "186997108213906688381967069178028660274",
                "221231582444933291621641695811187038911",
                "291264778114431736141340202172677954049",
                "139585304559699476770377895186142133270",
                "230534142966827492581529957400069461351",
                "38698938618296348634266654749852868772",
                "118532184020942606531447192616530263120",
                "300451938905103164606018570734220675453",
                "174856350075322837308755766543718257064",
                "40960870249662450145978488468518509937",
                "296332313351155481450297068275336769157",
                "36049302459727001378407974703763350143",
                "269340946493732464418672952226522213575",
                "246171015696412264750762208929478846686",
                "48023228552742014669204789047516826745",
                "22903167475848278246076316398920007667",
                "216922040007112000901302315691364648322",
                "147369051766898391606563223701703984195",
                "19365693745348026644815456997169122956",
                "189728482687656245620819336259379153155",
                "256694865667835151403121466706746368146",
                "280760919418283210586623708088355251040",
                "328437004864456994083376725774126014386",
                "261398542654850928613772570555745093639",
                "138685359067725461410442826590414878750",
                "262117528625867635507701137688281101367",
                "131547354718280118204415939921567097307",
                "39792144353928999472744298688606698770",
                "65782390639388626922360069382033688542",
                "103050062606506201893213903066191779514",
                "188277047110736514379844629101840121959",
                "86937529591005232352198859897880458228",
                "89833337799063411709858968354509404997",
                "207874760291594454705163771965895388451",
                "284318437924576941697169848426811595626",
                "213704048520958091708914824371428940984",
                "94316607940459141925709380013744493778",
                "220110447031520650099242770639800919080",
                "235589863141337108376468679564631434451",
                "126967046045540674341895757835576898753",
                "290556659700835523511843867538475026080",
                "335080036255169077666594466081986876459",
                "291982677240845618235665792308920295441",
                "20343440231953131940206236594647158362",
                "298393515779626415334701275721450761297",
                "242333953901525330000216167215927671517",
                "126509751503550514615764580037599883635",
                "339725669280751247517342760851203934252",
                "249548032986667900941325210970351536222",
                "38378002811099837185742714476138250598",
                "98261231658459857224400198378613140108",
                "272605640680763056977761111164123559497",
                "216063680181315582662453524365717004546",
                "141039915804337229919959737608729706491",
                "285897191095057052029366019856592333634",
                "321367515127495147693224435525807724333",
                "13380243714205263656587805463138624878",
                "137322565580485794663997719084598003194",
                "229179591452557535824277423243727936888",
                "307088134231771290959560314610705978372",
                "101600159395939860088564036911424614286",
                "245543142480433797281269940604658775787",
                "92593576713809597071765220475297015011",
                "264263400942293911725720116332976706945",
                "206888058031197379000464520107295730931",
                "321434151627688065489759620949101204597",
                "272895502540326403162185830614175941947",
                "86987423003350529284508950922231818429",
                "307381981979625788612108826754646545736",
                "327975059199700676287047841983091576341",
                "37841831061275606798275372528600330285",
                "128552101398777713603706587541700976710",
                "245590349787684501369273187220894372915",
                "196801751906401849659452170468945516237",
                "52285874343489011733091794933999061987",
                "65453557805511022197268988877178755134",
                "265756904952137605019740591161503908228",
                "115145411154899464323753557650608523773",
                "272220149987622198018343177440328496830",
                "174703796023057428472463764575234898886",
                "72834525616704864958527873888945136436",
                "210913924473062675312936260724885917749",
                "188079640175386924429982150297084371251",
                "152889258574420455195081749774018812739",
                "217330343638918529260540099908508312321",
                "70697127112468476698261084533699242220",
                "161387331154897557471944223722629813357",
                "133310776979256983790845962286824706860",
                "236570453824558894278945234957786617595",
                "262544863079557986080370715133437942069",
                "140811289656273129477074666027366904369",
                "320783219670804225284291635744162194717",
                "250760634857762475901799573874646282272",
                "86853620764577728630170850183434051960",
                "168419231701214265917954130064472808084",
                "147055421406598592113091692877999912845",
                "149899045978701287451668367123564826997",
                "261523197773584607943207122198869936461",
                "131506637427115871347838794378863297602",
                "286631205301811213538498200006171536166",
                "320524578839386997405823939080151186810",
                "19314265916314763870373570484754925950",
                "181027105811982174709049810594611557494",
                "325683380188071044084716019963041137809",
                "148621610355678027861270895761468679253",
                "133794502788330316883746788207737685593",
                "84325401100343433120505319499919138803",
                "264796166559648471791838984870519834817",
                "133917817110209527894844404058779958972",
                "238258505958206506206993214227002963248",
                "82702514081305162770561297296057006775",
                "201386802504313587663125768450492559676",
                "269892747243126363302427775507017244275",
                "15935863505185879154481330670312465168",
                "178843668548987068500047445950119902891",
                "336475763571780448638224342972074673619",
                "270779940448604332574356693987991648632",
                "323481806700884286692513053811571267318",
                "109020689213292432520182657508837767784",
                "19885002677887789190877170024163608860",
                "338644233244610787095712553702624028920",
                "296973855240745103138979958468695882780",
                "173841591250348027914900607518209779617",
                "56622245023740017472132428945767280653",
                "194465223246332404855684641097606793594",
                "128292702576397109936050385877800548230",
                "316583831366678175349959984256761204687",
                "158037525951409871933481725860655825012",
                "211379517204179371752896511544245108656",
                "137970801358484416903734732162231310611",
                "19911285887661712265367623019975932634",
                "289826266448702208905463679255826689851",
                "132117949674683607552920098119211143520",
                "28504130045607301626170859528759040980",
                "209635033657664848581642220782605871215",
                "265516073886214756312087721909658042651",
                "209243142200443568038826612887939342830",
                "103429937962903099827749313104482570471",
                "100581143399397956268282282488607132739",
                "34560842809367521947993723942112643498",
                "181999457524635911095666021091193488585",
                "318843370546332899935004528103687409215",
                "92828838417579622186029290575067178849",
                "204550294602159362024986641248841788626",
                "231428169454685906314478323454006976442",
                "214878089942626195595393919431454603468",
                "168283541632687987750971897875449378609",
                "97645327336972593711792534080151187019",
                "328761484036663017389839628040731829487",
                "55219315558882580274404928369621334402",
                "30591854437401846427314774913201553331",
                "162251229240320828092106896751823881941",
                "55823559434583653598268687144872906252",
                "295576858982821791893319399498712106594",
                "57568830698037609143036633915905510379",
                "243029701937511703147297527097557560505",
                "30617175684499275069445364827115891551",
                "284078982578926787347820516231077716990",
                "225912407606246170857764183394032881996",
                "3900325129569568136048991754278456887",
                "33656417377702605611122804276394911645",
                "291546546244800806424226835899860417626",
                "251734140523210207891728605540523844086",
                "284622261521112487073687517450083042973",
                "312505855241153933543612533461039912452",
                "36685137712691285573963673589772824616",
                "139811881360161048266942204619569492922",
                "93997276577687013186295286992535847175",
                "223915419949912453760744768482297596379",
                "280413360100000462202076473763958402329",
                "305883291155071607798235623257101887160",
                "62279751107805870557161499893431311611",
                "82572385495106836560730363937492541596",
                "296434329919577091809835239590512266500",
                "99364800684590186087418743663228557305",
                "16038689428516089314259998759112281526",
                "262137750256929542490647655108759749732",
                "103442353611358129726891858001567150320",
                "232008365697944164230594341331540382663",
                "53768145932101376702034665839757552377",
                "87558840357841113448757703667544461605",
                "231621607441508285462632796529125293087",
                "25079230905892059984837218520734682995",
                "331625500359064198195303280655120732596",
                "313440454774284983295334766043589023841",
                "182165997227047497823210532001858340847",
                "47700735588054604490864097771766878362",
                "128543561830233361828863262661362379503",
                "320343242763634943797255714095282734539",
                "277880228867046035065441327640637244953",
                "21944594534895606947805029382366281038",
                "56163178739636150761144362988848271546",
                "15935559276138912510875065697901910270",
                "29210113095427329529507426149672950160",
                "11192299953898281350590423099205045552",
                "151355906556188317863375838907542980101",
                "4362989544237955747300555757282960669",
                "104287700764347266837291412929397830940",
                "262746944876550608851512208232354329578",
                "326957186166595235000433948459725933218",
                "73559095509939277735032138749533028861",
                "221704986858570082315993451182898856282",
                "47805227461407168227655607171529709359",
                "31917347526848788585658193482865862083",
                "139673554340587743229078049074832410647",
                "73122696473886497956405351036750251681",
                "248459380051258135687942650512308989130",
                "77851936442977859897652571057282419078",
                "243330218981369984393097567064360254150",
                "265617474728398775194590738741940705174",
                "189665940877342557402904682994548013529",
                "116548481153044674163783427116036970154",
                "233732180459508808093477414501722782005",
                "48426800969572183854737949682160389040",
                "165637006452986738669659923292877279110",
                "203079440384805373671864831126508980877",
                "291566227020631734970571433812894037996",
                "65485630086144655031663170843389222201",
                "85197969806261024616967681927517331440",
                "165877806028358978174151564274536135990",
                "112778931257971147622229546193281617261",
                "195042940379323905615939937069223699615",
                "128010336283153398750512323547045640767",
                "139582354739302452966996132202578812673",
                "39174427653140195306938907795302294690",
                "12234422687380548549694184010208000998",
                "37962343390672860729215942840577473677",
                "183006237962301424465398878844254323179",
                "184003762689458902150844840232981454238",
                "103414771349848241095975794577329652689",
                "273032919951782089891090452459659513648",
                "185968885584222054872263083004668074864",
                "237078667000144651209639067606731657684",
                "115804281729637310568080382643837234060",
                "308040745211323943414286241334272575684",
                "66217176238911798966400663547990694905",
                "36148938866142852961554607388462801385",
                "143465332692091682539715136215082422742",
                "328889793768773691743808237774707626853",
                "201843759791836840792354706083537681482",
                "194235512002653865347460062831594936873",
                "300176743831002470567529594409181392033",
                "168809607671509179892428863497532427095",
                "204042060000671946232791399986058143118",
                "276259466821296394829586074656533944014",
                "164615039804573121079354282336301220048",
                "208023768057362504613658362703462977922",
                "226627913205882606637311215029469731530",
                "332490216109117718775513021706309766583",
                "307562894662981423552966618072795133272",
                "92797059729060871814377903413963915139",
                "247302471390527791645639200118218874885",
                "2382861341142135621701804887126584274",
                "41451857694796926050947981897738136290",
                "236172670670860517307608277270581223983",
                "200639320343893243789790040421718974471",
                "42766281421506551488966240866647202493",
                "92469934846087028218182704869281487852",
                "90545581260949705070530556612372990430",
                "114876469421119339503487620647188490179",
                "302945848637133940314608598900808020689",
                "103249436712558419193836042575213620744",
                "126836924473807831166994977263614523915",
                "194599907413190222642344281001068660857",
                "150518776301318248694408642671286360828",
                "50227664501730491367003009815801644381",
                "121352768437256033057945464756700362679",
                "217759210395703310808312769737662028350",
                "57164793927316525608323898990557498055",
                "190231871863444269310949605133496790678",
                "144729126027173904510535805535494962169",
                "278815530589750314461313573391697197803",
                "299729264586680037235755392308288636308",
                "288188205973037795242086076273781854459",
                "218153339487062863212716525865678735628",
                "214823704171294380025774218137983889377",
                "107508860781601580008042862484942076177",
                "324238186485383939399998686369639672991",
                "27999905632891697324589378255745669864",
                "239709500886502254350538746829416097912",
                "214474909689601506082052379173209554460",
                "118195958537138432692563675823304720707",
                "43766353336214775867179649294318725355",
                "207139603021997438348112457720260518557",
                "217240824787174537329250075142852928932",
                "165482254725041574632172745265946269285",
                "333518453622230338810362964171612282447",
                "281760545920549458779846959896018192617",
                "330438181559011966564471691696818533293",
                "293501231126295144865984870539694447031",
                "37439432460492365671022921534052337593",
                "57547120049961250989224853876898186873",
                "168004652563136802251448907123077092217",
                "98286700520902285152369360290469327884",
                "163460097736234771908625929693108883289",
                "310200637885626893574493822976721487062",
                "107990598072308458796419270475908622660",
                "310242285046444933014524517523600983508",
                "188951611604559767936292680114175624794",
                "135159091543371681181762290933914561339",
                "299772704924612218354876760250047370478",
                "119217618803913929948157168909458796858",
                "140669925017428214644423008899175238827",
                "312435633140279187768142564024757458603",
                "129886270095455580596823880576382595612",
                "61844297386252415196319718374417973675",
                "141321984566931898156151461850891023039",
                "558742745348272855870025575188242614",
                "44008689247257131675545292638838953256",
                "91857757595958308020347827782989062381",
                "14862195519653694487813005917688756994",
                "133765732031112401081555500287154230165",
                "76493968907506167886305690368896408432",
                "312615390951516273702309756795741768668",
                "115947776818147671696090127910023649918",
                "171610026341973262884468823275855391450",
                "278834238020817431140958233405906544795",
                "117213999027378726664676288816462585470",
                "134412067960467053595848956160150473431",
                "225273789296669878275947205916860968469",
                "139573625671833053623618579360665413957",
                "221979994440120188995962458879366162444",
                "79759274141712183330433529336731471602",
                "294061503335600027739597459782488081373",
                "301255558510983992153947691734779034544",
                "318646508159673158911300922999807703634",
                "256089271422761783645814677992676681974",
                "248622291905690899193609250523325346481",
                "169536516278820486178638633120042389947",
                "326488754810035825666454994042050849763",
                "59682821750464733302256368673637316727",
                "308397089120218097168475475447312776236",
                "40556916869580621251262688035625607533",
                "36835278157473827126622162760030440316",
                "135996239687450557755332260659398618652",
                "275360237223054640753747519380675842287",
                "154971567286327839473541295877573588666",
                "161161666612363610579404596068805431168",
                "22538986485862509624675340208998905888",
                "199031438521303853632727773186024277594",
                "241729839360785755467497974799717257077",
                "287186510568906924221055318959687119641",
                "281191058502841854144882634456787101000",
                "212008542517859757300791284503637542679",
                "102565697670635861164699738961053397078",
                "136414435692924178811656463193971544217",
                "235282465557980211027379826366790074921",
                "238059668284515829662107029273581902346",
                "158233705036486477774249230277921154700",
                "153922450645987701630081264220861433475",
                "201747679518105396416958996772989147740",
                "321381580845924860084106744719418144729",
                "172025785715875857281368497207362793625",
                "230775186722340927537628955451414763009",
                "7461284852766485143826734157957424761",
                "65593606823409476430621896809349467090",
                "202312076647898558656704236784458996032",
                "158310376987137334467547997118579840011",
                "16208942818674942330389296072926962958",
                "129993940987385179245946616971284861459",
                "229686611769442835493601533051180252467",
                "151577415024433921834182549916855885548",
                "211397073305808052865740525809681854344",
                "173725953955901476999830015946970571738",
                "52736167124818179625836924351224068900",
                "227141965450597763636591885926343236013",
                "37629010005002589018314610451059441469",
                "69397126398726607776910332003200344789",
                "161097919063383549762978118777090023433",
                "2519263652798245393254039161983973623",
                "72264474267799722823416372010242607929",
                "91316208052129527929422413826931961000",
                "222828072999618363246251241614667381254",
                "177816780200888679611721624800607600109",
                "9516889808746277432263045466563447062",
                "261326000030824131150470814980446034473",
                "163064199181023441527261708439646452083",
                "203025565229795188330969859632985034553",
                "8972024222862952650087324381782692176",
                "172382860266768678150320689684505417899",
                "115236364250839019194267700388112992854",
                "244419674818336636578187321551606269585",
                "264241134242265365912292794325866397115",
                "215570537342443804785271842301742018481",
                "210983430940584330834371371593138054984",
                "55383423102912838737818127231236625144",
                "171236579335625380919896425745226620285",
                "136557779086970047287990380736053458503",
                "276270573879205050936934804327404137006",
                "35698091308195355667665727595831023385",
                "51431470686780754370355125117763056765",
                "172891073179576217538994370738265496696",
                "300558530819235473511777922097450619678",
                "165911746293485726412343013108854677786",
                "326709083380933197252786231326976359580",
                "66350622045609176932465740913128970734",
                "21948163426286834188979634950400662398",
                "266390881552177449038170455536067264765",
                "296390610981920989326194512530874009818",
                "169001744811583275766901542538900093532",
                "16851905224473012038944135402950073215",
                "307980561640387782058776261959935882813",
                "52666725867219079612086431764991344581",
                "107847415442288136430159869369991428551",
                "282916334606308681980422110596202236177",
                "69165210743698643985155963189539175949",
                "199276379991940642702911905586873710276",
                "125588007858850503726456256677868700237",
                "324138537421859450435399083896593588480",
                "104063599593905893625078275178616996516",
                "160152891817493946718461228740421173045",
                "155316238469464777865774584003176424589",
                "63096935882749094090815433000806588131",
                "9429675663853564078420345268520573217",
                "275760099125051949938226589785754968165",
                "161984839892003285789062641485233285717",
                "95341006152838639543247780351023339135",
                "173523294751338479895463116210133098050",
                "44451148603477273788218373479755931091",
                "153871417869388632172674873687129019938",
                "260755021347685971767608114654929817406",
                "41711342122374495745085256371766271216",
                "223039962078858128219755666878790074043",
                "208879689764197729462247062014900484148",
                "208804108855385852194538337882422008896",
                "95106738293968266396798525732918254716",
                "139054688988989291922701626520131242744",
                "312469365122928557426249282571477695213",
                "339490530272173090430670306300271501916",
                "289247697284252042009129518561680922606",
                "261365314930691728507229568069342084087",
                "325463231952143643969594280677740296300",
                "35080238797508845594067978160307588859",
                "269035688613610105068676391233812728287",
                "132095396275107915332799441783756140132",
                "256096084013097884697798602067639605992",
                "75575080837009909108654000228933138620",
                "101996392459126569537765401657058375890",
                "35417154027211294510592136129876495767",
                "234702867858077045084197419636525022776",
                "28849498145808438170530828519789057347",
                "238508905900799217440731636567409361359",
                "165605460848443214457349259029282664741",
                "137011460633408461508063184035165185752",
                "156436785722829540379059256542889013876",
                "201822235357034570663077580713547757949",
                "333450890858245282879709519311431265223",
                "338446205278747121052431989020030771757",
                "120176139472867123547902065303858585414",
                "324069735904035556920413706746371744103",
                "170182290603363747862581040329095896487",
                "170857336707968837123642780425757699948",
                "266338228863298431974248092574547706409",
                "217700808139512580136440851611250464981",
                "19412314074593033415076776334811439890",
                "195250400345051320586603818270877019020",
                "78724924390906902696104041706652815865",
                "70553211362378149986624634664710644932",
                "266656180924507800943662884406720464311",
                "184698496035456681988581433830944579153",
                "221695398530891402931321734621530506995",
                "263741564465461542934961646351678356746",
                "214168158241260777108054669467691494061",
                "308642666615480254181330822825440578875",
                "214041970666216118781626068821204187735",
                "13462378404250737556060223661141668828",
                "306507591061270353117663888985407357792",
                "201866938487711358823591542402655591817",
                "154162197855651540171141264362179270710",
                "121446294496343954785914492603209052380",
                "233138287323833941746210788666368088721",
                "237359389618594011040825330922761552985",
                "56328854558534408352921283798746865958",
                "268278199321207931836306636256134627984",
                "68537853884612538997230408819613527463",
                "145802536346294754853248668436958153953",
                "199566758573786156592378200816670451165",
                "218532846248301623371943315717691090442",
                "323262148007749213174892917292657977472",
                "292451504330761156916756048956692956734",
                "152103479924181660266039587725456240285",
                "150398981273229409781914083359849304267",
                "322408415029746142591365556139558554034",
                "112284173196575364442770158475526972844",
                "5414270796713907502724207011080965045",
                "135520862557652606961757496861327897335",
                "136470944490230658130880588038872202669",
                "6852726403197177504047689284459049588",
                "291528355242579470479697623577130014929",
                "13416686008698019758423713556809426983",
                "203324643533840489242034734555859446118",
                "81629800853969227746513802936364650843",
                "217197973279201916971384056868331935208",
                "331759698472013091023802239198976377533",
                "122717173085361490219595170761435130793",
                "77694570649295538418640229200586209662",
                "20114631806642064836422227890625409386",
                "120099552516234308751044366577181780110",
                "136246252810834483510629308868656476759",
                "124182584663535266371988465924270269040",
                "209128087171531405900496417743209392104",
                "320920326754054948058665437679916189159",
                "277816964994822359231628817884389758810",
                "291568253983133123907075262175964972644",
                "207205807842230841448849029104461217267",
                "43349652768773519281543790096989684432",
                "51208288151608823954223468776296692447",
                "147264903332370084252490025020341452793",
                "120740123658112704406732665398816481208",
                "97549508276241698701942101158129218839",
                "126723515198882852999050685433888306169",
                "42936592443836689802286089019540763395",
                "253903067780599730828936929742192639787",
                "89048223122148387747058865904011383264",
                "178355508189333675022814484537062054005",
                "320363660944949590547215083326914117511",
                "107259831093124137293326226836025147266",
                "98101199020850699855970089808821064275",
                "335214080490482341054507289796477877206",
                "51254278744818497969092975291617183300",
                "221728187085599109754618184197359278961",
                "251599533051289152787657488753732137402",
                "184986224138509008859144041519281842884",
                "146885934919741586534663070394098016653",
                "236429550181309791103821054569120493435",
                "28936670878404433508098318715298833879",
                "184599282531587411603861014214868647785",
                "71807645260830443769933544011881962900",
                "148342202763282467591370118958354777403",
                "284068131040578402145145081211314724034",
                "145549630324467542214517661010332866658",
                "65695114485619061063597625727565218516",
                "335496391866112841118503916413176311887",
                "291483110573573970482969723293168918233",
                "103385792776938023621642393577058343844",
                "28237552463180719571559189592671726910",
                "226277262727307540138777480830130096241",
                "213944745474448252830273408636678762988",
                "59395662982153343349541797185796257303",
                "5516020960230372354434426954429593077",
                "165699872971060309792667483602342155352",
                "59756607396101408030787344915027241768",
                "212288100839001960938871320038944287243",
                "319231475775324700618272595550636516605",
                "165825410720661039803247925106563408768",
                "258272358390366473834381229009290132614",
                "202490577909506343078311146145722214633",
                "316351181030670392247945033700165974609",
                "138370444784728042923736896469760395553",
                "209894725041022977702100274537319791271",
                "157456869510836677319703427470323045601",
                "240844960302522384443149103014463939530",
                "179762966060182380843707645421812455999",
                "38880072123162438060736006306631711068",
                "244244362936390770267189478378274849196",
                "254246715434648131129883186346844058762",
                "335211219987897993103025444832121592004",
                "54246828785096143559638060623641231886",
                "160607681371435414198213612446700145385",
                "227651230398607237000876537853602434315",
                "143231665532775427096359731889691012386",
                "169702278612819262917917057920054246082",
                "178917502175529083032114377830059563998",
                "305415147550721658143253801627264829720",
                "217042333681366756672973687807641637375",
                "222312853888790599086167070004545367548",
                "225111026613382096179067535741885207410",
                "166697953651127297339126796665136935917",
                "71638228641407561594529395785667349220",
                "241709854916727640052453047880420250863",
                "196286290981782133971145610848452710183",
                "102149888235189951957825591879038192335",
                "336549696433181689559881887396636065548",
                "273841534919090246290368376904323022453",
                "321163915357118792276017245236931233467",
                "166178186068610092145535975185839865960",
                "231877316794571532397193541552592838081",
                "319237295101756785384878981404927853818",
                "159839742816844177651266514356168115366",
                "328771528187610156670186655690314240347",
                "1977682629838505265559572127538463982",
                "140758087267404398501520219631042350963",
                "269286936554847844995602621749841341239",
                "235593863693124769492082820273628419520",
                "6119798744678283189274771754218814144",
                "88558504798313014294146873197554341808",
                "258173726755387838331908704080936049646",
                "6789961120742230581534541145418593653",
                "39851528955408279330827695105793494528",
                "22396602014435094820463562540084207466",
                "9087969726732963106539906273400039564",
                "59749265329634125162168980441398161481",
                "28161198464593502776425454781766958044",
                "338455646184394503578361622443933317915",
                "304253041358336098474464024029644053049",
                "121853265054938279869086931768643737197",
                "173235689278605506382983864696772512276",
                "143553705444566519366687554286579345831",
                "242170893959775754840009396427921873932",
                "242365382829279889639058793263340295026",
                "232736106430806477781948230509363676122",
                "143728465319744152239732503791703240893",
                "123524878963280691719194780257554056887",
                "159999292550598978757581450623842486085",
                "113125774470987439693659363906713071149",
                "207682021856519878299570400353803856395",
                "330147818966833115739305700245366376969",
                "292818179336005078298954944419818368988",
                "176574806662693626789852725187500703845",
                "240255005241544710988219288909668705072",
                "116646544609808770756641088819571692793",
                "213139637918808197833297654700468676510",
                "164799532996885167160192400209167896251",
                "275498314480063785704621450986784400675",
                "231995019273206029128987527066865761265",
                "262336379235687881499215237803984068362",
                "222732015125068470438620173394892360060",
                "233864736806179209834913538611404508019",
                "34812853439625702733656122352429398588",
                "280813995188956592021324177237402562287",
                "108521363399401658820508591328365780175",
                "99994831283940406834561234792097814967",
                "228460643978901743484569088771938082932",
                "218564356112737827787021957261954618378",
                "262930972934405498057822315678972965932",
                "174104880011318249148310981694571732446",
                "260142737274294965416902185635371287621",
                "291600201685096089827622081185753621548",
                "330770856064392891567852037426199558426",
                "234711318107222492666509274889375438835",
                "195270342703974868794473246177940741824",
                "248670452363206183814413858861790874745",
                "104881178735266905873694484631725487963",
                "258927793278878706640989891141122859631",
                "177319758150327479978532722171454232680",
                "83595102069844072961679641088579196098",
                "287622868733875658147390053966854185262",
                "293964587679954444579533961561887218901",
                "77670685365519227902310276314467536372",
                "53673088506463245579804884259264097729",
                "239989717411052136873863696019609728641",
                "124441672500842527492732381489743240635",
                "179135454690190830504931775343840577118",
                "265820836114271163510698561758979309330",
                "222241753422855921383953568858545901235",
                "61652832528628259504917567051698037477",
                "333233419353115382172011401359048632377",
                "45748957122210678952668606671601431136",
                "198813450954236210220989081819016648631",
                "88657087066043965915736127906042126376",
                "91223699281273660484610944724237868354",
                "170659987939446035730075502880717158429",
                "182178072181182384705949094694408282142",
                "183681197861339659026959230928757419572",
                "120859412259178746832060316531178241970",
                "95606592470569469682368055442690508612",
                "337592494792373047456601707437921347173",
                "319282289775014791440446749950567065182",
                "298517746070948792583844129318321751119",
                "13529352305997620997547668079319421902",
                "307458618395504856371733266627643084471",
                "110498643749668142167236089600737585747",
                "36506427889900716102950732965546409194",
                "99774982254235187797078805349448584181",
                "178580960020803177872080054018748759731",
                "164797703463596346017621044892961723955",
                "100984849938202661023583022957228995192",
                "65134652794578687486897715673733332053",
                "326374178700657953891758503393534589092",
                "204836010674229435470719274104383746745",
                "136297805859558337833743480739221485522",
                "199892299371282163090911808822517431400",
                "75929808013730146680097176827145664230",
                "168796880878805532595426319132055591645",
                "210268537523099372144286310150180491678",
                "318571458712141552364000469845942591067",
                "290390930329644140962537466924304228085",
                "100220053129845182736903204594224447816",
                "248092337644502020028398199747631366044",
                "101035075199267515804197953501666834037",
                "171016139465282059250018301797748296668",
                "332728309981471392826671179873738545765",
                "189611440586173844571166475527741703072",
                "307899434150237468216851855465560857468",
                "300037958317380930113778710360744935652",
                "133653043749434057305610994359159165533",
                "265480718796708825445438570767299688887",
                "219026399872971808374400002432984590088",
                "13778482469508634285601244394042449972",
                "333092793539438792327333860966532463380",
                "182391336333184742040340159785783311158",
                "102544404559540078896761699495573096358",
                "207103709104786878323112796470703209925",
                "166293265405573147627079822354056968138",
                "276089190690455551515302947775559727961",
                "243017732463850875984976455897831583365",
                "80904254777399375956577722919620383816",
                "230201205031293652863968951801323397559",
                "109791754296846955222205494709577481543",
                "68578962307603431134526780170358927005",
                "190221394208702060674507559335745916241",
                "330250594326662021046538291563947368296",
                "9220102857645450339752448318433124730",
                "41762869267972022473736281320030535873",
                "318301709814878671764816760649863671941",
                "85396089965403451234103091416912157079",
                "182036560993657136292801554585896272487",
                "23439841612265633276689540352959226285",
                "288337996396930210135462045877437627540",
                "99946515070555467254946412027209579344",
                "232398767578333670093723246126595448740",
                "208674001201271693685379241951457277131",
                "268557901497860262610688465471015668908",
                "327313903218217073833122763488904840887",
                "39032554607375843736890002700072779354",
                "252761573273836042458033716141122871035",
                "86676638044142299870533508211921044661",
                "306403309479484244604398151236465141645",
                "312547235706267497282628027885128166322",
                "65104717200468585068065034315457553859",
                "230269059723830265416542280584936310412",
                "155668229993916891520757157486137283918",
                "157657686049904369675904402535503066077",
                "280999199253992091150506225597137060124",
                "312954233981498782581304523698934061973",
                "337208831178575701972498300696523553245",
                "321208026775828316903276977732027677433",
                "264090851747071413772570810528517984525",
                "197843897059421991208492778293524390845",
                "189793552526123331985246470436275599229",
                "266020789087789397084795960194996906141",
                "170341019591366493995108187325609262351",
                "307812694383922582326776586556231431092",
                "211341900822038365614156623678744229169",
                "197911657413907454712218286334909354730",
                "282744487693994633741247378234529216683",
                "28203320765289533394766164376233911971",
                "238238590839986784137697912932357579307",
                "216501251709651277735012480986670797972",
                "294294474368641163293164860757271262672",
                "123530262214275345527217038506658241775",
                "155926403808312509001894175826722664481",
                "324558379249135189223193036167996088513",
                "107173563848371266111189352001795186306",
                "241685524845169935428599810175856894924",
                "210911836682519640640244283314282115374",
                "28865609821301973372855708536723501495",
                "154061206936880311627697654607374959692",
                "145147179827394669644233377727319274658",
                "185276101228315821109221248364848581262",
                "76992289868974972673422991543057350569",
                "297976962830938694795814246716811621949",
                "31951584165124504485804698592009387518",
                "85155300576889229806829444175037582445",
                "309953946921358067725012842178377470927",
                "181584166454003051714441281385677334826",
                "80781151255805362971180787168702175157",
                "127066508402714734799989419078375583340",
                "264834160558723857957343145645057952095",
                "325874012849225920143985290247288780872",
                "152802048273345618957596249139988936701",
                "164968058845250516163299844950712787204",
                "223088596463941249067341964560935926597",
                "254503629950334906306083535682063292331",
                "61145145685723553527899074404584918137",
                "266909735327987865518507203167145162797",
                "230895992902568671053299831798651607155",
                "216759599930922511679098039092647969211",
                "62851303117247163575451903869646491842",
                "311364132656755375233788509907599898169",
                "4014028374562104536748064325705461610",
                "55303009387356098203246405627971269823",
                "335538346497057976583290020892342056496",
                "317912722083685984324888120264463123080",
                "168815115429503399424692366379289575468",
                "221402225346621530213185205290741457015",
                "26898394929876144730343791282648141397",
                "261563449669104170100718943988775717488",
                "259688684890969538002607222965059485186",
                "308274389728286800365298362084949999202",
                "318714523389639540129630131846374901281",
                "223660674898138859812302711093705616610",
                "183485670035236255778731151447592695432",
                "147068496130588579296337907007755274626",
                "265976481898904890768458170875855349657",
                "204870163329987835398383340954622031727",
                "214912730578716726692639696774763162788",
                "237202285207538675773306390258087537845",
                "158249958755708829935271992464435377782",
                "140452782489236830270725155803175045464",
                "191695411172926863729048589382476170837",
                "13626789579674830143088765302753141004",
                "323786659547361842223114095869722910931",
                "297093469612667370926606009325847657912",
                "96790496273547444505295756219323529891",
                "275507540932718192681395635418743628054",
                "205459235445177272996406895164333776343",
                "155778036143537290708406204655606164585",
                "304389229721519512264786390697998155076",
                "54086004685650090951824011893401197213",
                "267737997104386510651536345732175990541",
                "230713851415133085984820086488234555607",
                "242368170711407701585807140887792753741",
                "110545487740097631786835467565872216907",
                "301158513122430957285926659729363763709",
                "25671471516143889479322511098111483690",
                "187597629872146801374864125980636938928",
                "31571190791135379300613077271566053555",
                "253246324221290700718109234931029782524",
                "136301108495135882569183287506927060593",
                "80637332690034408838709596503204328453",
                "275331005784925059747739364467843892715",
                "193039673570406127499659204081774644225",
                "251706131290225077960401214838997237484",
                "71136682843421173941479642111059403935",
                "178131919634570933523522310653883467076",
                "18130556408654357075338855280762008719",
                "229554171996149480995631514321322593717",
                "135208272282182360164560899876240362652",
                "51511586603795332487698314579930915939",
                "278677900622439503220167741358065875306",
                "152512254403420605131731321056291720634",
                "10008364632513665903884747988039394310",
                "312130507776711806734685926736275337287",
                "137639140090105245293850088863220129769",
                "61797639614766886767611876347026890557",
                "76655054826353091074368326568929422827",
                "21797932493286874824500017666546241069",
                "269145374614564038773464877856387312355",
                "193921378650456599080945381756509072085",
                "35807405882142695149393584149724720510",
                "114192386693125480265671451447684944249",
                "127258062454781922082180282647736569150",
                "81826968817703886503615779080466554337",
                "80163332140611475650725423076366360977",
                "102081306571377800875226106543894710267",
                "2005429818870905708799215092382361704",
                "187487037657080687134527021677390124353",
                "243813047916270188137293400706836235861",
                "131828857045698795424301195304183658315",
                "5168713078738096283428930963478168488",
                "226441380206242462462477395607166652742",
                "114544423989620048523569783241857297093",
                "23395537766039987563282287489743661585",
                "302745644304066329795579180462472131893",
                "11039910664223401815955947357068038485",
                "188127335983390914915468324354767872471",
                "330335522024721340540380032395789472876",
                "197209208853039726691319059115481383778",
                "292088863395787084166467778287555919847",
                "62164818276291428805134864088515432384",
                "163354468128727484062815637557808006488",
                "106517388005125316735540312438630326087",
                "61660990223975756878141131299578360077",
                "275320276141954801917125310253402583487",
                "315493203826725322651797388458010043427",
                "264394325461189299719226397241062402473",
                "25092389689970579923477805466264607342",
                "277118470660136470237723542813405964019",
                "152942620275440244565607666971952335067",
                "10651121825213739037446370585104368563",
                "301545545016677647988935943460203319164",
                "129888262075333145659316127266275284646",
                "35342403093384199312909275282679653465",
                "335681372423510930339893686044572048681",
                "48346180759068377313986582371149681595",
                "92026162529245101733260731758339369187",
                "339430737184424752337205193819892726503",
                "293898431018269718373870769895570696429",
                "226769715434967869697537842035852078328",
                "121962645521211620897703061201150257881",
                "280106166531041257267220154794441392190",
                "40681234006863241187120583550340661589",
                "122446322960969316696598701924607054486",
                "272969783817470062785151583955403089688",
                "176368990354685957692699850544471443477",
                "228763364430535015108482770854862842748",
                "136419938731164420879694279016958319893",
                "113113420569642881691485686167187335108",
                "221426177922970537141391706037623623728",
                "298992505721804032559993608770714099011",
                "198359442732054884204112364521299741184",
                "205999636870092421224675237309256629343",
                "215093277757868720883179461910189089696",
                "274088711174726426521810861745440229702",
                "231122213279770501327741001607005339351",
                "286761126300691828816309829479631562256",
                "187122080490887060777201611484806867629",
                "39104925616938393868196239176903095140",
                "264541535761619675360850357997129347178",
                "124226341939533615523330646044563737683",
                "100900767929672593631339364837877254727",
                "333395791064311771263170283853583523589",
                "29609929293191272595185890280528771820",
                "213940510891231666704719977999879871236",
                "219876363339400039159600440591150245750",
                "255328816756248726205064109592044974355",
                "82848003068205693301400417448814244023",
                "19747879588462410853940527216138491792",
                "72745364887640265105163734478329403504",
                "101185592810444742331196628272970404026",
                "234564317428802061978438783268059410233",
                "212432908788715105864936885103734348298",
                "185969948669443414611922454237400563813",
                "313766444124320493548495640466908579325",
                "263495813965469414193362923290554896894",
                "94709695879448014899503491550629575136",
                "93299806831534008752613599042320772108",
                "138591969879645295028324759835877470413",
                "7297524891438526221394176866146931067",
                "45019912236716062886370822597005847409",
                "273492380463898977091082379259853602742",
                "30076868267539541569092050895409387401",
                "13674527415495104129641269954229499567",
                "123584984398455343019429171690063855598",
                "246938981896578294783089570202653522501",
                "164689971472402748431436980276832697082",
                "66352907718742987395333865927976307021",
                "10337610686192258113111051348367910451",
                "62370892570396794989549994128165754797",
                "315972892976160552171431835412146973181",
                "111213957241732165703250956780495491558",
                "262431324573007362472013987228179358155",
                "278766755753522104945420996130191200920",
                "68024531638358485913208293866155308313",
                "12844788321421112132831959789890231408",
                "45788821806299285976742183872251097199",
                "143351281699931974929269111232506771623",
                "117703971303117651614481071817609207607",
                "108122547915510453641281430613758339194",
                "86448947339992866669819490577212770422",
                "5221224215399306507657048275200594843",
                "79754470017804161786567076811694309061",
                "288887163780178720099213246745723608886",
                "266213968089011478284318094086170749674",
                "42588104341153898506061356053987833192",
                "120363937903872612682334089865782435839",
                "103112454364914071351879295779396558473",
                "132441681453491505122928685524854625679",
                "263341744261973055942999231330753236296",
                "47671906175348371057819406358920521874",
                "184529907441817164416832528138102127989",
                "332863517471231125088124006854703991636",
                "38305026503528735692903266861239120656",
                "64536646765358483137910132330576590677",
                "22393716999637066970017660975102605251",
                "20524769284998061469682679290987153529",
                "148446848524631404024539153136301487134",
                "212415303479846592873495177136253403287",
                "324616172627230866529252842101067350640",
                "87330126144678708210864307152567614547",
                "293983353469189385586998400906411610285",
                "39109648525458653300265669269882422835",
                "110749453777548345865646257373008519952",
                "178822860665097086701954133782121439315",
                "168860022859741038220199451890486301989",
                "41455545572908237363937143782285867086",
                "308201947618085941426547614571598031622",
                "74367171774482631039640927147068305560",
                "22348890469097358559629722146582759123",
                "216236521644399457239510847995641760043",
                "224378141776860015723121189327453077145",
                "3229077044391421510492332506150256089",
                "242937516475407038424203913321095461222",
                "223680998178147844167559557754269964094",
                "237304081982737393015340440186656566336",
                "136759859455585055827048038262194182227",
                "289924242907936140583653128570436717512",
                "22415269009716531118346731157670791904",
                "81078499426077923606474022642787454190",
                "46114580487345720585956362327963651061",
                "235552795321087864353839261710014145200",
                "113077362257429733182980683376879278040",
                "109919538587009326420465994467505722102",
                "91710151039770450367533382840363652004",
                "268607792098991599321478549304463625822",
                "66468754870882600515369052305749525485",
                "183102014988991365057138355214045079360",
                "160150751161738759423004879321804777219",
                "256191842671636665837733463403951239634",
                "122362075864088118791656155162405004583",
                "105632449969970617931180731771908908397",
                "6268065656765163833302881251147016729",
                "161514565993714237113133312812987659520",
                "276399511707229177849316954774628071333",
                "146019564395433810897497542806342011330",
                "40544259745192310555944381819939945703",
                "161177422683654276068419620582859829665",
                "70278336922505142314008707017963331418",
                "297680981900793625385340980551680423432",
                "223570008325297947767951544445768637120",
                "207255306384704441256029085856838104879",
                "265968816688809722887379582501595536581",
                "135754887492789860197898320883541718193",
                "117168763088638776146799510963767564210",
                "10763374609153595097394341731055618859",
                "212097770931767876671106003063965315616",
                "123963185480139290184656047548916296125",
                "130449882123202384392099766617108682105",
                "64947585897942993295292722430987965097",
                "293041754834877301709255607553760982939",
                "231002056744999696688758699958311787791",
                "181771406782188100445373639751937628332",
                "333607800219265355414394548056745500986",
                "219530475331053183334061706226538352226",
                "282178133806899315556359479738410907917",
                "273507761555526474134277086353807470252",
                "265310092493840111839573440569169016923",
                "273024055002556051578421158075333612167",
                "229543478523688562459333793216071397639",
                "333800337095304437396043181261246628654",
                "121541905419705736083427218209951533720",
                "21648861278077709185803906550829405431",
                "291685930674915482534752711867055552431",
                "255168181370438889996134137508068094941",
                "34195189948967091188871273710502205747",
                "253066865062525823721599346007353054599",
                "291717263634249331092486126309419460975",
                "197292867933737672221148677726498020608",
                "119079693319884695911924130515629058443",
                "249033965122677894111542259998669988632",
                "170015511389155965879653950874048452421",
                "29726523672011534241912290301474471776",
                "165724211445356088119672492937275234996",
                "162104769526544893411167304100550819270",
                "131770101501016034458667685425293238937",
                "207763189587343166564102542899175974604",
                "179870996179912459417972875491459266339",
                "42969479751872423089377209380486440409",
                "282609268247338374136208394793990315737",
                "242794430906149399169384097393228042050",
                "301592683014918350715320327051008092472",
                "151002279167764502039085394254894406404",
                "324976874479656003354515790235651197340",
                "327642694978383040455862910665226369150",
                "214856878575000778670799613729536397863",
                "233944929719883164876798888912477948359",
                "245762066169043298225732504494170748251",
                "326637551662119155993596832398683693485",
                "227307134715714853466328892493357369297",
                "55480431502937243006732744736226552397",
                "56866786729604759784449409527707114162",
                "113210468739884620775074259246125711809",
                "23188538761092803892521571926191640567",
                "307792052422001068233383252235714666293",
                "95561781437329100600980512946023178901",
                "245778056976003135875945829791251753958",
                "206197794093019540156874540661319120778",
                "232785334236218768623437608823641528509",
                "263490906797063638579079093873935825495",
                "213575643883379355332278520817054928989",
                "215231290861197740879668343816297317665",
                "296680284879380930044676883277822478098",
                "278817666689563855767661724650058417262",
                "7791488625382678859098468354595285786",
                "283464015461472659053474769615467650133",
                "58719795948090915429741322364924546960",
                "230234045178146288644425520500200411132",
                "128151621123838566835931420559675427942",
                "34467189767679474147689378242194510065",
                "334161081860799967491771194777048498256",
                "5311459171253448429607464620755982090",
                "293068953872286079199429007533137179741",
                "127603301941650892651120463221734816066",
                "88049544414278430591509441562544779184",
                "321168653880365004659724460030057525049",
                "49404316374891701625686447970083189155",
                "220242701341480068660670809999983109471",
                "304044314503737290822397603643285360603",
                "154218012431584071323519863679747260369",
                "222337707019784040922312729184421117679",
                "262423412200200408708754369265913895700",
                "321178454136783923251085504832688820507",
                "13846970431462692048122121945615756019",
                "313276369064355479170283046394935280590",
                "267856399599356716836891656175729589819",
                "107632242975310828925855654994093051498",
                "253760081131620993579655986491466686345",
                "160418238381773931973155264310188932943",
                "295273709848141210739707670242942661310",
                "19094361481686678487106289960241205446",
                "137368678306395327525426833497946718562",
                "100988496849527062005703717658633030110",
                "189501275050972323327039230829955891331",
                "126141795428590904305995742625237331282",
                "146968506696809558869272896341206155473",
                "94883197409937977695171838307171040648",
                "224540163267392616252078612677882341508",
                "193317681198580215927974115577653517766",
                "202671169487058941130913625726802043665",
                "335146284258589171261235669820810235565",
                "325635905798183422145424138183436607222",
                "292904926574830735749482846425299345101",
                "332535918382915572520359634262447038608",
                "181983852928796388427680338800027733210",
                "254177267000809946674561794593330712155",
                "42117215762331994438265094928955485228",
                "160867100230839969638106409592301671867",
                "5263557802467490656593019657051203998",
                "107217331380040375447944185898830235782",
                "174196048002493079174888194892196372043",
                "83490277556213097397767812055450355846",
                "33981585396368658651643961853407534045",
                "134566144894535440000112657172093781128",
                "173039193659450026103864662974951682609",
                "33105323093308716539439839454528807581",
                "296984544401105706100856922907028217661",
                "170222507092937294194532721441574482265",
                "295912640997484618579084302358414339326",
                "270054560592626814732673240668743905483",
                "339210454810837073096545123036633491479",
                "78437302096504750691988882311030540189",
                "290271266675418709233942218272687200097",
                "99197239236838305772268961658986017376",
                "324140906887450512233463204212755086680",
                "173579180379241998134406632273989798730",
                "111922434083165024082318112259403502980",
                "103455236149613795856932627544914715370",
                "187690834554670823063971953920683183371",
                "114064372838320148101471003473954329540",
                "124658827239048791987511060324236781186",
                "91641340859497809504523126926176891908",
                "227224696592780761485720063242517723476",
                "194044313666373239831951917937276007171",
                "12757031821690823238901526588993778576",
                "15322806235413864913764908309694802034",
                "75498762247244955507114597690130398829",
                "339383788112878686095088667946306084227",
                "266922873877357561464722438704651096772",
                "312584610105874106482701079556984016888",
                "129806121925380911511618375537907343714",
                "236214203590590018597738511448854191972",
                "192308712984075259439734605499660510419",
                "295171978286945010277716165775899826912",
                "128832460382669809199537714265166263546",
                "117876084966459827482219970250654205987",
                "7024132419677871727252760661405480878",
                "178876457046051590236343924717104782211",
                "150739022331345496750722522510238826051",
                "106669376796522250358490773095747853694",
                "333420198280427164352598547040805629375",
                "339104893292012297238041458400451783987",
                "249645588010136262236056864894191908965",
                "313872755389823289394978677330989890638",
                "116034392698649678560588518816686390411",
                "305764141600097382195139992343066657079",
                "205680102714920040528741212971519725444",
                "234651224063027833511474136734911954881",
                "160591480626301100895656295930559671138",
                "8509330140376059360097739004104186955",
                "36608803779265889179605493367997720870",
                "40763918906088048472020473839312528732",
                "70692474914657103325429775335598251623",
                "49480798640053483723811828983708820785",
                "54294351479625688465258615102610247511",
                "5591942171512219858517243824569038608",
                "119586207544375704833975953394783072296",
                "61053103580581448872166278446494571662",
                "242241819464008520962432666779839363911",
                "98141267111199910942097555983589477786",
                "41472231444323386536322167987224053822",
                "181373520203261994748844227519317970206",
                "95664106855101012060471111789519748237",
                "68494890402214308609078537730938766760",
                "75149518447877811011815897675302434359",
                "274771435469896533187516332442399984762",
                "279756795544785636265673059841811637911",
                "135960629891005109820657536304345145181",
                "73804474700777539468681140935577956562",
                "220111017596097489350597505271682037818",
                "43161352075860416188187085524233333173",
                "328467176496683228058171498921944038483",
                "28373354716494255732176147142333259521",
                "232621693362396767185483739744636047762",
                "51309506533834408745303368442980157826",
                "130031927998943428707854795346270587608",
                "313161346492849063437524640598722782020",
                "131245252824866760092775336014029712288",
                "148558820857010237497046177869410027630",
                "298226799771788609689128432652349817413",
                "146782835212651700239521576859078979843",
                "240658840447396318538323739804053936376",
                "321189050700703950647368534045512163487",
                "299927056855961654652409036388752926125",
                "170221536322679658926962990481804378028",
                "152758364535304408714609311655559742016",
                "264714046443812164082638357877391761730",
                "62819186874917145745650260391846511929",
                "176506600561436351640143451473969191167",
                "296721778686406914794126773257310351438",
                "224402540548694389646200099847466058700",
                "115725657085188145016748598328773886209",
                "249969441054188624169926380312568272092",
                "261846502321956317576154033544480950456",
                "106331283814325578214053983631146406359",
                "247162042586068587734486564285293840742",
                "336575914078148314668157194740409683184",
                "299955318420647816402247270429687130042",
                "121508334154321958870620154983753165662",
                "179628449129524409755696638848454897232",
                "256791818538255807846667377400231902312",
                "154622822176613313967405239634820689236",
                "249841381749220973619682043266945584045",
                "197433078206018180755535441293857872916",
                "195629348849895022285316989724132617802",
                "120343620326989674343641827835301067906",
                "179928149202351614479363251649614504189",
                "48405730067390552538637342433783217234",
                "337567608234911363059715628912474323762",
                "79438006394465755576606925732345938747",
                "241035304357090816593867240128296000241",
                "164492498234668894461500044951528376980",
                "10674607806717093162039801224934605591",
                "332103675458588253223882672235938346685",
                "204396794020388742427736585377100063042",
                "308007290160173103766343746543628353061",
                "29529305246807552583183343499456491770",
                "120131599011725487683648597124134657375",
                "185581115928129831381276296840665690524",
                "183992961140575843887236624602984096874",
                "88404116297604584238465981115133835626",
                "271752646691862068118583009381219075376",
                "42604922812752736007523614916602073814",
                "89194840770862020794819665396465810106",
                "274185558763051024810990538649300805155",
                "251763774004914533241085872605584893123",
                "291780661211777318189441554708304328215",
                "199344866989520987529358610800355400025",
                "285327946070379990658563994487028285461",
                "22967122906976584474499064607745231803",
                "146038087694459165014106592431224650799",
                "144095614946932931943781188516890064897",
                "45998489085620987376956964717407490107",
                "117274543055248229557324262659197119255",
                "170643696009230518304387442903978344874",
                "286511371648592831659937882648303934859",
                "102136260478530077574054978492846545353",
                "16990332231140090551362795937610323895",
                "289967983822243282906801280313758660312",
                "268668242060465453591348554398644984433",
                "183228338604866196167971159429589530099",
                "225488498774516232065295439987878749634",
                "284529623310901583456274583356116655381",
                "233874695324204191991667717972681940541",
                "195780907478698485521670320652885334096",
                "140992150018177767197974131338193964628",
                "256753490351546241682635613686873279161",
                "319463718940861979217538622050140835037",
                "322037616452923738319520122687700339014",
                "274875976573092922792770752636125841035",
                "64967800266923858941864086433297630119",
                "183004495362286806742929741375627733253",
                "254392885916199885976342601558223864598",
                "339896438501148423532381873855627621488",
                "13847800764729242512941267484970049934",
                "118889745855414062077508954781724910518",
                "76106801166457251370465399599906068360",
                "322088982023653950018805681839683361594",
                "70415306123730090459720038828917122347",
                "188946274727593201845960134342361626724",
                "194243175947573804760771362174603888756",
                "305214876108637594047902494230832103848",
                "84560675069198915987600242114967737076",
                "40274045824656142074526844193253067997",
                "208161836753917494733036865845205898532",
                "31793705887805783648251464894206207985",
                "99000652423635314468096659421201990662",
                "267432005992808441267323149926836702025",
                "119774582056973169209929747181785319456",
                "158144877041530570276454281992265365417",
                "248853716339179263473383389651154062089",
                "22170355376528010712153515023629933054",
                "78364283957889136351266161905304598578",
                "17598657252540892880637429197142040355",
                "128303690392962204339084903539946039619",
                "276559835454529935492140413547130466637",
                "246133873398785040596963981533096116115",
                "306505066829677259165435605210988703637",
                "125836474220021029195702932548125883129",
                "273445867322910918757686811937118876794",
                "323730688989574537905923715946237611732",
                "42959034652752849637127830183686927371",
                "325635576992910207090365111949520337761",
                "333525315426064944299494037499182746521",
                "146089224391124993346824899697983237208",
                "12582401700486996429845960383387384664",
                "133399062366583883454849256734643823602",
                "4956274452500259146624021835014320238",
                "311149371974399027744798473403094549487",
                "253115987327706873920049577990133844268",
                "110798332675916109865200740595403359414",
                "65014388968149859906377605538782155606",
                "123074721504625730384756402568772119208",
                "173359190981397663376365219762406613618",
                "102125982477722730273322859973469992804",
                "132011204770145751113091337018555926030",
                "331116379318422938703682398742062281326",
                "28481387215703541289500461038238652896",
                "51702742481717181017710955444525833823",
                "72971460614779875998371495199505855697",
                "30111682239513625445219795926573054267",
                "290531253106263298066555297844287811411",
                "208714511475740562740494690633988139734",
                "120196610019064767871002983819169888228",
                "285290920103369150784245510098326965308",
                "49545631542692284143752840911425884288",
                "311982295000524537975950286099604741277",
                "98109039022117853491898185681179654619",
                "137553220065459734529161859015921709592",
                "122759909133133798476455592723066402256",
                "334115258250781402852372055513484812010",
                "118579930868009563158377806972823407953",
                "263366212973136349871056325415369724933",
                "293117084389818118955002872724231313724",
                "137640349174760110260718912007269394259",
                "110932992695551763292070638418927376231",
                "106418734852916476548062601703164346516",
                "93771326331299942367748500289302753691",
                "87734297759195148401706337197878746792",
                "85066649803018187911165920321006285392",
                "80859180799119238564573707623079350109",
                "73449633175497161148134927788908061307",
                "150925649544549060362059083830840594667",
                "166933752713860608164380957632899930895",
                "189992634211484720698195928542342037211",
                "123568425058556067299776727908102220086",
                "38284382106608984594421186152559122628",
                "98514251083500793991297901393284350585",
                "236467948827807637954868453980819092370",
                "76118450639479529733506597224270170333",
                "325773667449244768449787801405127234337",
                "104729706533090312283214768771189318539",
                "200136482932753120025434826355562165051",
                "123128464380423238543900187482977248962",
                "262866110554677646064168137077074259699",
                "32884299929306012951942735771646267010",
                "225660534165417772098470023010220980902",
                "224615696907470582263714500173657545041",
                "232012269419023819036792230414617745034",
                "39679798349392731464413649686880544225",
                "264314715313017057304141413156145200699",
                "147407179808894837826475718635725249189",
                "50638089780451640230664776883439756779",
                "249230405801406239481476612026877313289",
                "302354226493033754307184965980634403040",
                "194812403258432275988277327208569907812",
                "220711631606985349734258394103115286469",
                "33611146209640190882843140524869188898",
                "157366953322171876717608104995292271783",
                "249819343686395390053892659834006079590",
                "268624838368312459524740025100238912425",
                "50389443340568017284361657839873626038",
                "183922023121238352092017035803697619437",
                "220192858273256058008416925773443644075",
                "147325766540792089130012905930002950893",
                "177912347052275173248045114499584131459",
                "74774440455044932900676100605048330356",
                "288216300697109405193440291325731370024",
                "84882148549595141966381391874701326623",
                "315833267890783179851950268636965660423",
                "35346359203649714929716327774786153017",
                "197360246173988123434316506795458287442",
                "247155670833746379342925591238336583997",
                "302253490545885976847326323031959725251",
                "65115121135325334416892822681446168150",
                "334406266048416442368562886272917662486",
                "324847095366852858752477838566680944938",
                "170701855063743321137864879764040494258",
                "70816704409828765660127237708668375009",
                "19980093118419785461873302850215604430",
                "57248541867674423098511342191653256680",
                "293782460020434121759308368717660579820",
                "63278241592804657267600081283238485422",
                "295155112021455319430583812270372134614",
                "41740048383026910787467316574851072041",
                "129496766226567821934637334272675887203",
                "47931996623835054031612459645414315865",
                "72345903201815114944875629053087989558",
                "162513706984694040981566778024805351498",
                "266829960296171787777093894467241976173",
                "161811083641605155379076307630858057109",
                "162513644025750465047100993112822381434",
                "183061116552376595056788548144742019864",
                "7828541662307341389520309200789178910",
                "90362694706859239687909575346285707342",
                "299388484083852332676188986780745993328",
                "207728076006412301791998042288304873298",
                "283915648122141547939864426352908958356",
                "30969949449370966417447935040064997314",
                "75184471671000614330819791307839430660",
                "300434750539211553702712557960305822593",
                "309198228129786177835053141642094329387",
                "231462077341061564944623281026658787425",
                "282894917528596723782467782899990591704",
                "227904966428250277682210869082102429902",
                "146967734102073740160128797846065246194",
                "56447877182260139348109757589357138300",
                "327495581415100415365894006375734874629",
                "93127523899906898586497799530757259117",
                "9769411224218682350255495822027127309",
                "242393570334483537450566214010659654603",
                "271029142629568329582424593175506400115",
                "50648329515837595548902021847350625231",
                "117674149516122742782980549161298424352",
                "88423934319390318182565111603322647815",
                "320134364647361452323586861498130192439",
                "340235471931691503712959330282413221415",
                "220808640290050070405693320983507772656",
                "110976261048620548811069766885932384566",
                "133453601931710574799776313058380126499",
                "189658324788955455874577144618915264218",
                "248367029077632264218565545934825218709",
                "123842212098199627827044142593553282379",
                "71157121651564514097853061291238322881",
                "32053820733953338446342360508050642903",
                "114721108004440222679398603705729447475",
                "171476802388058130878429697379364458768",
                "159867872926144795673460104007556240757",
                "180268237469188487597927934734886365726",
                "236742500287513848021381229545178602574",
                "127641680750197208469723291712981399895",
                "86521889444195108779605179486675116590",
                "50081750545314185318895615499331625124",
                "56471630918082365338867455320216926418",
                "125501668513590544462405439349675251943",
                "179920298859893632426455786925976027156",
                "115769780954553615392397448664583896345",
                "278529290200103903501061160258581800101",
                "31105107168679401299789298863563500490",
                "313564461126709710613544397251026115270",
                "189085549471414631193476471576626508528",
                "56654420528017176874663736917301713525",
                "285585675706150357862426632373208700724",
                "60524002085696474127188099093651890533",
                "263799440301233612935650942544262878858",
                "32899015230259403920853962171679784392",
                "91047147946726680011146647509881986631",
                "290447190170911683310491315995457753875",
                "299217970035662836488648209831335676675",
                "129864005815475731208468427558147402682",
                "160502110808752191026322198325544430164",
                "146992278423799417360448734310902798308",
                "186691205254874608977647661778106896253",
                "1576791440755795244431219639270021796",
                "146200210109995255996083475357836132480",
                "117459530562741328325514095002309581967",
                "195429026963588139366406283035860215930",
                "311632280066694754055365825315992924284",
                "115518659968861986425566915013707735480",
                "171116152588858219293410838886489757165",
                "294898113363182257937299089693300185938",
                "253097104399387162133834559609746937841",
                "203087179522657203796527806474879079643",
                "248978136229628584770388248251868887468",
                "272264593632040517039510094102187299704",
                "99637738193010112193310062243935843261",
                "340167918253871799822068100753850519031",
                "333956794874811746952801960106503090043",
                "303371438714160237266319912198884241262",
                "284512312772771263549577918654001841374",
                "97229787627887786248143900038627721012",
                "325784402618091880903859870513921228180",
                "108618421542036399661857473223785903782",
                "193973010243881221142774879624913669126",
                "327408919570013996424818044690061168274",
                "92396717606968248068672798834836769491",
                "196379564906116941781120469167631720989",
                "84927763964829262107665457838173540263",
                "229091399350679716713441889375228121193",
                "160722544027260938225235552125733659106",
                "68416082307339771103990506463694506755",
                "82940278795040339589560735387533968759",
                "40152679863642222641612211675959071535",
                "98571007917276666810083579936261528810",
                "315109088386097772982500693616683032024",
                "241428913648764567948854854917023509977",
                "54309431238119857951418379112896674366",
                "209131469528240737715687818175838761057",
                "103149184714163449106521107408076711844",
                "178860141416626237191430452406433236440",
                "84612943497979127337240742059787491275",
                "309121427486177383453866118499500613349",
                "91603631604199064345176213911583800264",
                "102534066375830833481012252219016218248",
                "234041625188251549722882875135803896696",
                "272209047642997057442116801815591711679",
                "287305746304709417433844941547952539523",
                "218598692762341559456239162942082523340",
                "165595764475301781214440294423010052850",
                "90027471866911605805029442838850990613",
                "168182450570590035009066690147076955192",
                "152547981695152929413245412968203745602",
                "296251489401798284341231881560463814535",
                "218761400778657877339411345569607408949",
                "267415095608630568261100705137353627120",
                "185196800731558875866906877186499595709",
                "228434919956674006888371656205174329402",
                "191242309991877000366295389637365376006",
                "109731760209472059444608124058573290561",
                "127048708292191155077471930201550576730",
                "326563125581505938452488258642719064378",
                "313141313671797166595726122152016311086",
                "121926641167259614286549048424178403475",
                "298282974683673805467282786761724211052",
                "284569299207258233265808452313067258113",
                "324440783985181806014276020622197230705",
                "159122974202479541110306604349849493508",
                "127766647410983910751599850593549490993",
                "40901707490868983303022146419946350524",
                "272968013418067045251984963456604456478",
                "275575556445612320319858410380576705405",
                "307682490100457928975148621819848419937",
                "238662875742801732374036120938710379973",
                "13385417587675468877969798911183932068",
                "37135307302937604247510391834111896630",
                "131538580561901302717553982143608991797",
                "16475108882395030658753132204720194706",
                "78659918419255455884174623071076580030",
                "267040208025712580989606940854065120758",
                "130270120189647973863264276924333074223",
                "231687604676094003035797697716049496811",
                "34398600771971612727244589968686631066",
                "14994839696288368064727627320038428819",
                "71237825416535316562169199279213479992",
                "103796554126268242307470648128396081944",
                "196250477760028752722985736145822296964",
                "186840676603714341800881441370418073580",
                "124009539848648260467715134658744464544",
                "34775597444734559276295752204674167971",
                "156198820845540494555084657921471890678",
                "302286317849362669287235068807443074159",
                "245994611623181389104941117908643616505",
                "42003115379408291590595502586991008881",
                "172696960368743627459518828447742314372",
                "216735909856597218599159394223018832070",
                "131905209432843770293858688085525121760",
                "318002278803324981260845078497999721392",
                "109870141694116956139049808389285679733",
                "36226960142782712195274168438958817765",
                "70827452379643065906553605061306366605",
                "82738572142579269003823386261587786923",
                "226468686613677830340600605767422204469",
                "304212780876329216380705006437101674601",
                "69930056039732699885799077474952406669",
                "255501664780488072009550655318075648043",
                "276465994408712723880328855776902078464",
                "138488231196205106809005191559859789833",
                "4979149731287403255959621845857999757",
                "59818438905867014889981179792945491931",
                "331283109608350540067802011268208104472",
                "301362961282722868120622770822801880960",
                "328449881236149886579560713753579546312",
                "319353980840830153592526426598016927938",
                "259802883589416783476444408507009262273",
                "78731843999487333391797822397865667203",
                "57236115493909810306726135413544209760",
                "273040521468520882102269442043450426637",
                "311289312890602225598092038127830316443",
                "166165906842938977082659025098351233919",
                "302056242722914326267941741766229669333",
                "99665260207524799810221179951631656470",
                "63685520103551668088208764384283422174",
                "334628846779295511233073554975230169381",
                "19369174569264000762114973655929959683",
                "128237941551699105593326584816151771773",
                "301280539697454102914200606393923290054",
                "280872238242406887129441789886368663406",
                "96952788948546932039173478313661842421",
                "306615922477937863275702782843178220753",
                "48760166090623035222353256917025808437",
                "226585155559892898413190113923983663006",
                "197737261658596387998464494664181944067",
                "280409431047637206664579115289096771326",
                "46116066689641385196456352480562673588",
                "304337267695394710649677953036926068904",
                "31056284314660799315770309918504385111",
                "152229265524916111151480210527151330021",
                "294510890135165343625852653417409011146",
                "321111235855197021864611488728360323189",
                "20287056029926716345297211261362475144",
                "163395954934149631171028853014410022665",
                "116083943355309061824822910137201789224",
                "97261376206774580808687039031841039657",
                "216490147558360807035183399174640171282",
                "86110903485655075331571692855267955967",
                "196832744123268216386990555509755593683",
                "89461698262424149027718883413769504698",
                "236109005045417458121024279528292767862",
                "139945259320718551009307442237573218433",
                "60603246112283682404455302763333923900",
                "339982394953691155807260881153757695866",
                "141195242339934552894111807169310372302",
                "52265616829586225373460809664811035311",
                "49307756527442915179137130587034130835",
                "23512043020079717067313277093198330499",
                "328989598070774122615075800857472045705",
                "222529036249170326326390200467456734108",
                "154104447705145334076456166627672497935",
                "171816370286157997462799999511729859445",
                "10581392346952220992740867009333170731",
                "172749158351907642188070179846240758626",
                "208692796998461266456048603167287954607",
                "128042247632654763905633239527530370353",
                "195660018518858881120422713656832182614",
                "180098867202375488657009676387486741695",
                "93662692140106357744679637118010451924",
                "218548825678337881816827109757539853222",
                "282226678742666401864816164640957302723",
                "234872084242234799709770107512274286934",
                "274542165318290994140630115226297809440",
                "268943806195123988136434083101751787960",
                "324414704077901676860188133879812198084",
                "256691966189079190307733258091050402602",
                "55691043798328456741599228508572651185",
                "331042866080989383407256530454737327914",
                "118553497931663136864604735525298979608",
                "271123625004570608885648753707878829078",
                "312554313577888688399667529306971999143",
                "132359033655832593472246070076396930616",
                "210428833742954425696804197656342106000",
                "135137006435475094850199067094059278710",
                "217904271642135661298227131990001284236",
                "109464649520921347319349330818454203360",
                "107447030909887357609191848314839487674",
                "335927347740877975642026550269949353118",
                "80715872743731495608888197022989634375",
                "153919005756704036554339023859114665465",
                "134504420697427716727460781418693043380",
                "8336530430422632748009231460263139440",
                "198614939794707977854124868790030130415",
                "8464231007894063634334768596653048444",
                "87088496200562568472328005462964438466",
                "138949163831688347638389395988153011908",
                "42231213061287418830021997394115299589",
                "68039318042512103506492298931673448473",
                "298427217594069771622274145953647701382",
                "52331212504770644606205301894964702614",
                "116344349494885602103338026538603561414",
                "166137648441715858235275338458875872074",
                "238886992526452099496896464002109695754",
                "200046218179327883878939379406815353545",
                "80045604806617044623479447460074698400",
                "109681025203826160252042215580770722392",
                "20843511939118829169253746877265225617",
                "256469441709314238402779362303949137706",
                "103250995006064187265015277279973317510",
                "213607583825383525465998467734226865732",
                "321050476730306003093911386784290314072",
                "286601927229875897450832493647855992026",
                "37256856755084776782295673559906435127",
                "12710345869594269754323877041618613932",
                "90334846880143083372178352797071498412",
                "129934961402710668596515077271436069805",
                "227633299510882657289871564432654991630",
                "100294934516471588924525824181604311238",
                "233879381509072067271780539226360367413",
                "63395732461093284002526675947410217375",
                "238676760341424078442005223158613909929",
                "99106300056884890860650219779869386173",
                "141350723671152895068313661183268742509",
                "54546894499953107436413292482347362442",
                "108460738826542602758091083173504899434",
                "211719750125872192896417705484867875597",
                "35881659625265686428053981484588765635",
                "59193042958364041102265997525366938592",
                "34209360794391934980618648670333682733",
                "160157363369081455918431687088628331904",
                "308420731249855521075182662210008863926",
                "264944555625214206369453472539107460420",
                "305551329728328435618488089217336520419",
                "228736370156562854078523444900408158513",
                "293546356051763763347072163447762682710",
                "272618982094809743100505138309612013421",
                "271741073075875287059844992824398467416",
                "176640481952513806298964563259365895674",
                "83688327414934961932769938365749483543",
                "176451774320982815106542705538092420369",
                "25536485699629937246372890110740073846",
                "306745904818600632401544007568071287167",
                "64648210674491522754601585198664449514",
                "226504120905184027521428743079797006742",
                "127869265731521256274090673164612729022",
                "223564976787509058538935176346304902278",
                "89766668754782675352095454816397580007",
                "98461237342156903871539376373565441882",
                "272204682566539257948051361682254374811",
                "293248135370333127876242781111615900245",
                "14053243000935960473565192117408912210",
                "126164881566499672999351941193854954339",
                "200670770676893986232913003200793880818",
                "93621836062858360009378249813991959930",
                "227083735909131206034128209904510429739",
                "15100295900682850026562370828433437447",
                "11010680271284305651855430062206189619",
                "271698934061502301200514040453911034867",
                "272753824548284859742375547777577519651",
                "214553584393649522163136335880657157392",
                "161870950291663618174185216762733355198",
                "69657568744046302995521793171408874660",
                "25969639292820153525526100614113189888",
                "85729840306201861749780197223246655577",
                "18019653766096991638264028761160947284",
                "332458428062485503718146951112619312758",
                "14036399530172465204743258958783806403",
                "220402719613425644624666174226882968541",
                "153303472526171646132342768440667107142",
                "83335664838706054794662929241494318012",
                "185973285959961401856169762983046516391",
                "249156110884449057612254436177299921280",
                "91844383508096641607278274921226298498",
                "228065204109433773263984292851014368535",
                "177090555419622818893488513656315234454",
                "301711553984942143717646891927251328603",
                "163763418276094026510275486626170414693",
                "305123994772132638722805509326614344805",
                "223062037330773436739212661171080063189",
                "306414573462025239901440405394325868151",
                "328106547843583603364428193191642788954",
                "209429249351036597524204347073840575397",
                "272714812512238057373360627131552322338",
                "250164790882500821789725745958351978738",
                "131529838303980707528620885872773844434",
                "243387986930359750505475952854282041678",
                "176991655050298490799710267925239713197",
                "270987757831482478232242196674377713569",
                "132746955658547532050018040041816306151",
                "240149502703466241371631059087141968706",
                "91413077396050427382945551265980093480",
                "165404472670532658475234209842425100600",
                "235497489756147956617579101932505551930",
                "221654815828595436590766877624039233160",
                "293521378782592606842107462752432416557",
                "292460898550276430296103575446639005112",
                "81711426789431729026712709136196104627",
                "298866370790602905105057696092543867420",
                "157106101292838571601325915145681294219",
                "325329701786347972334962961066650320115",
                "306137662214669117713821362757537316271",
                "270411470528528547457396896086946650773",
                "260325165881576859388691957033860489713",
                "296889740056499918444652517322593705868",
                "19177537352803244922230420055138966653",
                "203563919892488534549686838668727249247",
                "301660009659555400641395205692188962610",
                "202583110971877667473082436363538275335",
                "126430032402798906656648310875598877786",
                "115991619525731108651650945223813339454",
                "35096727589356518089462727944826069138",
                "337489271198671511020594028421437144030",
                "210458759274415498439266810789582053087",
                "159580264827961408551944057264266269160",
                "222817044007400689206093148407995422959",
                "87268621148621877280024867288218179268",
                "24407285187843755269947944001020630007",
                "335220629430942207629839860410617688904",
                "329304505939580020212083777244498917552",
                "124164049748859201984406440700066627508",
                "260387649408166158902174913649826474734",
                "99573602712989856614380718111777215711",
                "96611817877994084652510264555432181379",
                "126149367723943141934410564081542773771",
                "164927240563544386572967738574855087366",
                "24092188374324551898397769885070081312",
                "180852141847562715371027298784588495575",
                "230035432541262254155738673290666825291",
                "219475488847078034781106184176245758182",
                "161424724881599322979283431804587347760",
                "258654760634687750924764106508642811074",
                "133036785916544281558820336133034891269",
                "91307099359224076046536812572280482166",
                "53489160511574675591948749915971698307",
                "229693665044709754301202533801225843724",
                "117807467884784330828948951756288891538",
                "154076256783176272682635241215037167412",
                "174908863759622989414219918613515741219",
                "269271544474815155296016001004533108709",
                "264930731818563237482983778876686344367",
                "192243446524709284730102824638680870138",
                "203047162839505763610345271029096176899",
                "25165347163863293647916305371444536896",
                "159212959629911236138001357787451055499",
                "217202474612035351307213597900920813476",
                "146085220679572372303642859852308231996",
                "41648059497978771493089759844682228083",
                "82179367630701489103532420157370264579",
                "120357901928157226683345187954518271628",
                "167074158746495529974709853049699992897",
                "331417114464041042594559916465159894108",
                "181033459865872823440460198260433979270",
                "268925232666472868155755661636354043091",
                "226437369501931703001315549716453681910",
                "163829744458741752031092974903285153453",
                "301405209170812848186270086856439906821",
                "330052916157933014867143928623463044769",
                "8677547186032664578985287532129876895",
                "272875174682704880723101159503862664271",
                "221051281549988283022794330564837330505",
                "167550597907312466559632382822261632326",
                "88405706125442875651623047222454457881",
                "195293986444347226738997868217002689246",
                "59626073741980703880351116111502260338",
                "325770014999830411328356345743262725109",
                "179656452888646156235178078808362105013",
                "326465151447178759622265003501662448357",
                "262280972485293768013617643415608834323",
                "135100782738067737184621214155369157384",
                "243379985032635513082229526678769692005",
                "24627696426264271870860065839236821724",
                "328999403224299604285979203890084159168",
                "335074063727432905042599652825466974411",
                "115177552631916407883973309407387481730",
                "172912161496181360413993676345032743258",
                "321457413930898790827833737942295479481",
                "92690765300550623127816862657009083860",
                "113900328896100274233105765326108833468",
                "224111786306236266037775561475068069312",
                "306232332960508267855481834487255989644",
                "198847602973951375761117836676741977991",
                "118099403466924215385473799769279276500",
                "257854896658591949015073745825054455595",
                "119517504444110049641797770746432918119",
                "200286660068616888190315230493067107835",
                "75713568476597605204096853107237317162",
                "215734808511831049938234330219921710757",
                "13457369798956546783670906207122011232",
                "332668508603466179089543650725927304805",
                "132031515339873150351546632499354243789",
                "31460732911617617461064478600236413150",
                "186841218751884999369982959208879020442",
                "14101116698828276462307492637701718973",
                "111672374869901113849992314433139406971",
                "73181565048115907931553447423297073184",
                "38839886515037507076807196767027831947",
                "66440897588530069203943520120474105696",
                "292798971665051008815715648501160805205",
                "4018663415030122255980265033292164538",
                "324325370514462255640644415367121065577",
                "199230606085907127772696116127353682883",
                "6145766629977645430644852114456526202",
                "292189352433397271653492748734681864052",
                "6606202372847467431045960383091575708",
                "118266687938580251845177874260553476249",
                "165550308287152309874665050359587257724",
                "256102928053808237830669049288908159790",
                "14152913203669294526421149815247257799",
                "262643841114597429031042939635151794563",
                "149619895719405722642382460344659669724",
                "209453925596008368452395953243759957918",
                "189857279369128502537918135312117315307",
                "276637031574409223881858619085548067826",
                "336712651015561697678412940906522413799",
                "242998549314743418566351285018690820279",
                "180795225113204955960520405512965733530",
                "157734772736406523607538894585061181614",
                "279223569892810693416093491211820275900",
                "98915031291167811537743741765970986193",
                "222358404360484363819280732826662478969",
                "126785847978960025929137752148399166907",
                "120888427470855990505060095027904854005",
                "221061797326142012882761849128893123395",
                "137904571573835167127075544622384478016",
                "212709971517489483960606647233742787279",
                "12330670574302428216870149861616120991",
                "6359958904167148184579796436231900659",
                "314202427500370866362157154947526551590",
                "66371272551374175735843915996069915139",
                "114011142229222682830259183467669378849",
                "160988383969776624745696323030639486541",
                "17000564872583913508844304041893130873",
                "313403655950674020241698480791374328615",
                "210077805054910364372035977094355341039",
                "85569668616462011523079479327567096690",
                "215256650186668815389551457649582954096",
                "84173321380796562197323457868431203150",
                "313529146363977876010228595343586694535",
                "237698282711334625769288746891077412691",
                "188375273731698703608052773073808440176",
                "155674602738051665137583090295831121913",
                "122322012719423996347307180032157495119",
                "200430987021302554260461165527098974772",
                "208877844063382728240013094117532753893",
                "228112419623369172957293726853200241479",
                "112999034181864590495663145471142892766",
                "315749860310406185374721146757102341329",
                "173030763496973640883847583043775891032",
                "130728868852040148145406825761396820919",
                "69572583720661440365564114498934122011",
                "140696647597873637012706823069078787925",
                "39345393826782846923241734500700975534",
                "141359941689022872414477302657328636594",
                "164311566166029477298194519247453842236",
                "72950176386070527651980276038680722336",
                "239873234417818495251404449712142748960",
                "251043093307078387521918462766002677212",
                "130860229018728191574963334847450617558",
                "231810554715190009517465252331413735728",
                "150700274099812032818334534355048341541",
                "174501901435367777508344920229119739385",
                "252941268092616364954072786485859739732",
                "212297470596932434970238518196511652881",
                "141417442699812635878305041675742003317",
                "69431280290220799516800591583486974709",
                "39143729747021513122622179733845146136",
                "157532334698826579174478812768541427100",
                "68940664914750234199503884457081028342",
                "205771894552285036535074639341606090665",
                "32467995012306999546733233279196136454",
                "255557399926287509313298579194855315202",
                "52657022387056267393578485271226564697",
                "279539159954117835612261546001029540197",
                "196207363450060607566589049353367019304",
                "116260377577922821355566227904447478121",
                "242942568891375837905084391754364979389",
                "300647335301676039964317332987759429845",
                "8355083928723662217972171204859030367",
                "100124393292747470721929287593929819463",
                "322651402164094003542601349097735217964",
                "182334106989098799633575873082749266778",
                "80598446849410800669297953882690027937",
                "17060696830775118567362075390755216369",
                "312947237067512041358310305787006356799",
                "168539192122735828435108362479955987100",
                "189078471452265418575166327640171427779",
                "292992186886015037319444549427796436479",
                "171614878286121131107248135470009546755",
                "250162645707286314086588042830384377583",
                "126144579952476621987316140092596510308",
                "156021524534528874598717500503136370562",
                "28347350530445118839962672786284685265",
                "75067508099240413638625108921109873055",
                "2204298189266998695394218279174796091",
                "106886611952394085423647873570002946525",
                "45589706220285571485323910004166188427",
                "23531090863913808295716104220185272375",
                "76771548985916199358423252579369898489",
                "314285163807165436109933757810606888147",
                "59609372874710514960615260284227453858",
                "279627163692886418050775263143435209074",
                "49035537681364881227506714777690809829",
                "338599300815893269031531569330560255367",
                "158675515308187600300720945257852949197",
                "57046316110872798131635670857798331188",
                "129918189677811291124652683580242561473",
                "60008045775234169346556477096969738218",
                "256608830502737858450002008911588576325",
                "125345974685938727870131834732764429224",
                "130695322441393892470249925930209573996",
                "249437535307523888201055640366586562832",
                "10210157204893046755292937834465742989",
                "157466063852237164459120350238718469146",
                "193475273892227829160732043276879288976",
                "57622220660934050247788299615033314229",
                "39057109797249326525259960777921125314",
                "290824632216611072425133368861876913875",
                "132244854524002637138233379060545829563",
                "194503318092194240190215438714161603182",
                "325322492201733834434134393637474562077",
                "312920329725191660843644809646528821381",
                "25164277032008551750012528329542553194",
                "142854419323798733474323806990912022405",
                "324531154222562431945742987475416235140",
                "169166674037538795446029072814524591705",
                "283685700883349875503158712784904501624",
                "215068403308168303435170734273692107963",
                "164460571203768157117360619035820132418",
                "174079843878473690175399155575941715564",
                "138134020305556646788644349300797051218",
                "25810800986215536053037303586228970781",
                "78430344351693277471624546409979478731",
                "311813892661707037120185323196986296123",
                "84185202504382484663974259437718954144",
                "126564234169684199149980415809588390875",
                "142775677763368148555844086153505762070",
                "76742253035945178880510609051004328860",
                "314323176606133719743403453492436738961",
                "103239773625421182266242722583195829490",
                "190262428904623730327498148012636428003",
                "250935056548174026768266747934116455833",
                "262419099869678776764683961778440121372",
                "71905681176020858275756953516711082739",
                "283342015589450942337265327803485337449",
                "165364270482887838241913393158143100769",
                "189483218011401320565418937946227153296",
                "229100997554020426332490712137839033415",
                "33300600513072231271522729702518743260",
                "286664068162360839894492892362380610140",
                "128598464720979350723175989416839700632",
                "127181187728607046455647301190145393874",
                "53310177244856900828171345940832286478",
                "169089018146689821857869974607552531165",
                "116500420987142253038327612133468986484",
                "7936114933218613048851859234342904950",
                "198070224297588712374660620807194492581",
                "196522429604369639149833974812284321817",
                "55221254502884426825850217698571013109",
                "332511778621025261496714510380837557027",
                "181276348286640396439432771320171547406",
                "26074872529214268457382892445004389432",
                "294869878565617273707208138473489734517",
                "327326876700320620912974175687883379091",
                "150687732135320415239450008916260203629",
                "221495041443465017823479147020546070238",
                "269885873460909138820861840537363159278",
                "325092333863667933682925516939756920020",
                "146764862521394275674595263026930984896",
                "57389294472969392860623789582628373175",
                "5333825151128750830478549669614911172",
                "339398051338586591842211954825939034733",
                "129953821371415631779773244136996388910",
                "42895349734960458694654207789815054399",
                "338531306165416473283246576005757222894",
                "285934476775227491987678485307099187121",
                "97758671410988344494591244179914334377",
                "316258022900917009194462056745290339307",
                "299514396133067446136583330429648463916",
                "56402952182125593715466816150117535373",
                "2942912849138253556567358840184700441",
                "233691400829314269683732195406211947927",
                "74642259859715098713437288560537587324",
                "169808466519594025369858899015515531987",
                "148252509941574378921312513437196882073",
                "33196301610077349194168868394253756498",
                "281852024072842724258828446108012663488",
                "239171473479595761797582926225195137904",
                "164945036332083127458437059732455221568",
                "25182864997860500819832991650877023835",
                "256973861688076078076942225200628927420",
                "299313645302849281866383387579483782056",
                "180712690235362814166538416450081139204",
                "182279828305088071237487801178949162712",
                "192132004958684694006382443323419079206",
                "234472386203938274206294709378871894233",
                "274810159989389355284524427507248596488",
                "286038570302532040696099485570839022619",
                "159870566261378981501827526584647202889",
                "108325069282494775450466352986511814095",
                "317199186571363406300373553005750593469",
                "147825754129751085076277427353240254540",
                "195421368433531223718777508053294476936",
                "92062255562891208650370171879690449859",
                "78098696601212447231154740411415207525",
                "7453491165844088180402259265802577182",
                "3806373364930155024103070974521653449",
                "222822129607038597382189917977343160299",
                "34099187887427541131222761086324241271",
                "54544679847636835648605658735301135247",
                "329035251028421420010342058309326827482",
                "294937349147097891210188652779633263833",
                "291162096472989737265126976728911200398",
                "40059942126135150339432493806281925603",
                "337228106506020671494755529707714838616",
                "275148249687375764533028317443254424911",
                "74759274833106888040097644870809179896",
                "115627311093224605044645896830323421360",
                "166604792749514883786927175477514235402",
                "194236637939979162496299540184102857049",
                "234762313539403117376143479909023156037",
                "247101556615909342028563545815810886704",
                "188686405341829297488660978550492992230",
                "1854186454168401386992406006274202878",
                "252910447549939966251095124289553810255",
                "105803891354946313136171355743815372294",
                "173593838949426796072401141433503468535",
                "267835191253620049461911700894013621114",
                "330251754270230625401470169000735405059",
                "204788412493318305159524327355658003088",
                "56199650953379513589036282316886264862",
                "264989017521091257021025839823579734216",
                "254845730764440298765983657791994373659",
                "54015167205027042885074279213180309447",
                "71263191991491615779912433642674072574",
                "201170217940385655061371642679216777435",
                "44640629495170147910471909446762342863",
                "311254829083397411419164925717537439455",
                "97913825870857472385548800564742845278",
                "332878704953373916789207978218253162787",
                "169065167347314576203420645414487740537",
                "271401134620155290429009671830613576380",
                "70203595207700442506895402100994488797",
                "127807107982317368644294190318754791684",
                "236834389498738554629920379391956180743",
                "307122178636261615857923843237568447156",
                "130768801120812801919664335052586580638",
                "248952004844833511898508555176741735402",
                "225864854494838593736842650032034430831",
                "18292384214682963641811938025899150007",
                "23243293469184458505694671474230912634",
                "272926363261063575481284419224984812537",
                "54592734826379757908245290700208564710",
                "4546387565808867855175256239974647003",
                "117918741653342879478967876959952748013",
                "241296283616457360449397508657411955586",
                "175177879683887318046127061265633526664",
                "269078716161548561658644255010309451495",
                "238226982112252129190393255511969877630",
                "264498864692896358228550425059930633561",
                "52142442452715532904747956415949215620",
                "237717290151845792822177202586288140583",
                "339252306827152620494644161207600187086",
                "228555004095317607105214289220797349085",
                "41169032339465744892019191596897530759",
                "58400692893738565038986765011101495676",
                "37660379385232065284761472807041236417",
                "128507235098162959485577241552549578629",
                "16360555724460356652336385193538303468",
                "282548833318754944340735939946483334518",
                "138757766032305166768734623427374528990",
                "34823981741641533659251834779504200617",
                "12992605251830796867262339781159145028",
                "285072809123746159819806510853810676465",
                "164138737884878925654138199177499245500",
                "204372984040910280957501632494687867006",
                "328245930650164957655402778301016380923",
                "10377748040142247085371376072980263514",
                "178195546280495115970039130490199334561",
                "302626423606844189976086208065253871884",
                "74693011456143403201759556294201313189",
                "112636532197483658026985723598786327411",
                "2756862005958339168442145918449121581",
                "5461770682617210745923371622098906495",
                "13326324887023810241960173549220515566",
                "185649481201480185432329389553064725565",
                "302366178375118897567707276171127772809",
                "161410609402781869830350457355574654568",
                "28981567265074133902637963499728029271",
                "77871966571110274675484187300643222214",
                "47955032185198153060479263405927962223",
                "149574838160226637114058563702862248599",
                "34508086357682332041288599307606530840",
                "204386325181241529757678123067346044283",
                "87977873742540745645930211381632001798",
                "56819472805523435864023836829609024808",
                "315809502893962326326153712326502448206",
                "69977985047383993524923400596801752008",
                "243217868600941934884532268433616322401",
                "140920724141123193174818790861610511090",
                "176939236054722243752747982407039297991",
                "162564631938828082775456447070061078552",
                "336315991014981356137178017032991729174",
                "121015350969894848042625614625619716517",
                "194612708942985860336021278931977537705",
                "264787398209830707170957704821889787455",
                "267528648491071349756550615084437999624",
                "242416546511346738349271186240561488009",
                "183070803541512159195631781832653572671",
                "47505311548385703511671008434458684122",
                "183911915594923041044649036820137860173",
                "308442135416218331570315606066830869492",
                "82379451064189976423940866328689625354",
                "332633544970516719833210308120847994668",
                "205648214287090550915025503478333267566",
                "183728341071547861659318829263645390998",
                "250240801662086052598730753874935609712",
                "250421195646959134515614747955252416034",
                "335603747984270254212663209596989077023",
                "116930626638721439737963670811938232908",
                "162086661505015218371770724044193384752",
                "191777807807536163003116350189854613805",
                "98503231249843651854613965753800406059",
                "248634332668414560355076185785449778291",
                "102682459531201331544178827529590387266",
                "169321294297348553628881616630835852321",
                "102962328381606426091326233970452669197",
                "87597170018219057715790803051041124937",
                "106119888009176701037826324187326055856",
                "325130397433647851364099472646605514134",
                "57578644642256548751218035912063939869",
                "122227244483023105111929660585628319400",
                "251178206798467842531133740712530076666",
                "292570908349530764685662197883664968533",
                "223902282303632484384403320616179700696",
                "120124763406446265852246114846646758620",
                "59971903876842238560318155085622536983",
                "181801266172743435338568659883353738967",
                "153248021885739563675309814312186963967",
                "42932749983295057297573665073020525467",
                "142167249136121292162702516704463643141",
                "270583643959669265563457448396741040574",
                "184718898318445523411299919386025058475",
                "203308816546722193340068368171777648323",
                "182343200537434703996997963790457084678",
                "276092573105261887689013220637703039822",
                "30829646912815969721858193651885749660",
                "90079944994330627730198631316113486739",
                "329146613280916521807844781144258872492",
                "281137365597153875361424422199403939277",
                "149199902447281978426283375505798139785",
                "35200525322353818067892024517777688523",
                "292505140422467957048217634220880782846",
                "180382123905294041229221495869714435539",
                "196514087793358736077961963898476555159",
                "300240031351346677433506226062483618322",
                "143365394511038125975808267510807778264",
                "212071247370081145889014226761040058638",
                "20751676709334432422879529681002242174",
                "96318571290899298593443953006471787099",
                "64307285108157173892076550283033508930",
                "178718564064745739790811356764844319261",
                "127024483941422607856210733248096255737",
                "288854852177463697970277444510206265047",
                "16319732228034096849945918515717166819",
                "196834111935064561793605798743265160363",
                "161328057730630234261494037667012437898",
                "272910834405765843937480718242036597209",
                "185515586888016805450096259820004355065",
                "182597881458583901683325354691206687675",
                "216887755968251042658968008856924943931",
                "23008612456308156224249368372828407103",
                "216515774864512489543661903422115471074",
                "73129468456979143924181931088754205399",
                "71867493860692505847132741957606576297",
                "294893663090555323621543260661044776739",
                "326710343743807801002923464657937160304",
                "188151637151536044137735678776922732685",
                "59770480717257763676613795192979587839",
                "49129529819939270684552978777409688400",
                "4432398707417731314185221135882442267",
                "39824037910922551869452187390758172392",
                "328719069142047603829126085750647112707",
                "3173345176716682222202978738994736496",
                "107740981995351275490109735730053310288",
                "135962883330794940029370668239120942229",
                "10452220893811548194208035774272732833",
                "242883878607283190067344993148728510441",
                "169771162612388690192289077608285830",
                "104532880291361325551202643379454095204",
                "206237806668539502410592894082966029228",
                "234519210364357367943106211435898709821",
                "275833938705991156503982927193943840692",
                "313188196131988560914606766281490837187",
                "269781722719296188400301598069781517328",
                "211250597311202149813633379791866344796",
                "57685488286718209281746499842256393880",
                "24990162775247293130159736685157924476",
                "169628222492433360086283997819500960621",
                "136004345822831538220193969534905769569",
                "88744707028358759304619455907056757758",
                "71443167083382461673358684323527943071",
                "146097503921479005199703384246502088694",
                "149613176689865414747908654993756253281",
                "139361886585512961235420680797167541126",
                "221499692930335260576143047998886536360",
                "148156799185425308763890205848700079436",
                "135807043312668117775253098807797786708",
                "12842569256977077983936803824406034318",
                "319947888007292168596597155482674985127",
                "300089459459694240040163081029602054407",
                "213904435105528782341299333427236755599",
                "324260325694997212856172919736042882436",
                "213568348904295065310133631072848146878",
                "211550147593771357220948676585578510045",
                "275372308554991714416620363020931610045",
                "128689547707554892960943098582912222066",
                "62210019715971403908689205875011497165",
                "42405703242548897832091933482007674516",
                "31174261209999186213795606910420935836",
                "244754989493270784611995989558377658365",
                "64420160350672803728820164817735203027",
                "54096526703622472044198157990491573381",
                "250292980391692312606355330784132644338",
                "275519148209495873291687531319235532430",
                "290748186692312441860139259689237094194",
                "201990012179613367533008517744250475456",
                "239469595202291199285646566532556947119",
                "114806621360650424354127514757483043646",
                "85583194741706982137267047694430121136",
                "286540405455540790783544047075778873669",
                "279202410991490375444554068041072054342",
                "245278666659397817146246487943014601508",
                "239191643691458848185979972667998998800",
                "215728775973791575097376252238670868765",
                "124060683190817287034469060809083076935",
                "204890299940680246150058297492908531469",
                "193802301346898241003669179716814336026",
                "261392966181934108049975222056701181043",
                "149933133651480889668953497340192902882",
                "288960860943521774187548963792046785662",
                "221591248664208714999006946603446773175",
                "278480164276488869581160687488534028611",
                "174572878552607759725753145448356302309",
                "93731564946199240025130782051409693443",
                "128511512039344254953868766358252917410",
                "130515559202532199316412408441447210429",
                "128092652416711631597229764142834165828",
                "218227544057498700600416017344650346048",
                "24443312590489539040123742063257453641",
                "262116939735781945475888375881562802907",
                "232827305535286865163052631608334188016",
                "52831152250972990061812841670210738130",
                "224335238323980479478176690868107435932",
                "140068980585104131401306289614860849352",
                "254467056180926809411165972594777556133",
                "217199595950468735266047234526324972822",
                "303761801915830153830876941058069512777",
                "313985750984405660945424113270718104524",
                "205411914411954175843874632299865370768",
                "338668292279266075052386962981436585436",
                "30087697333334843191346637498145208822",
                "9122187966447126497018645788362687342",
                "181511183652222718189782064763233661950",
                "176410743023940395843287531398709915064",
                "123025299410912605479534053519500337763",
                "250394251614820762955434503511332675445",
                "163711150594681898722166884915620057324",
                "80269739492511491724293549363798569233",
                "170814463354544608856747743285545557278",
                "293133070562685609857920911441699357756",
                "313491536758864971247990482850474976379",
                "308960347865662121784228244690485734511",
                "1646691751106189269736742417717112680",
                "78707500519865865136440288001299079861",
                "2906182380407910634507612407248270278",
                "307028786698614122747101088124737865529",
                "255583538680038141540946156412273273642",
                "301412204481766850830436499869762389610",
                "176555305665654710013398218137649402199",
                "156701169901210882533779410575785670382",
                "329805800627001250375210383614646168904",
                "67358468381667715398878582520296114664",
                "265088589767617278829542116763638211711",
                "178624812848364450405009610572880752903",
                "247521517398305676942455783983681970998",
                "146169936000357217385241968499871833914",
                "53523660170317588976215299811098096067",
                "254047851224779519019630078092802436212",
                "321787407387220554144312175192562135559",
                "105371716662592834677236719974023985330",
                "291137739852905253458297607670494327163",
                "333005373238959365776833211282353077445",
                "216050783749622623480484072163398747343",
                "75393609794413704261158037830375740771",
                "322989015514833750126389706586548109304",
                "214033328600051084194363608043015763412",
                "115847151444947990384830415155503457113",
                "255845821201187432183765095116274907939",
                "64372207050108575001569617604140561967",
                "37258250062293002784408926395262681941",
                "184749176545682959413869374626242889200",
                "270730200470724253359579902329657193021",
                "190709433914617824031042799846256681890",
                "132190543198676895270927417459044411205",
                "242832338303825489990221348334201067495",
                "51693219460215931225366160183363729450",
                "108431918300411731038074785871201704030",
                "225367424742798822748861445300546628368",
                "117881523919356572566055382048444429294",
                "767339360259370220920398483722165846",
                "268323775105584707796689841058309455313",
                "210966047306738247423987723613520818358",
                "93131339895631983756787694909213761694",
                "481839813982601174584177475657524267",
                "132258094541993317985606182839656474776",
                "160724026553462453856836926871657026831",
                "307479039282432019553548769531198666674",
                "290405571715739137279700300171659246724",
                "107139849422406342782171731169372666166",
                "97493469378394716643682322989703298373",
                "76003750329185062565516676750503241723",
                "117725946197923711921835808485268916361",
                "126856647398362780045159224233709778172",
                "188669315433965683247162509360845437174",
                "119102256361862539630274703086785073210",
                "143664671461605551483922171796366985691",
                "256375509301180217409830081577965897933",
                "36814178391870644949376345245841475459",
                "272778016500847713590539550036409372287",
                "241745581453781451040310640758939269294",
                "37217317077856565899028841160553121464",
                "110074735806386061637817333838503044976",
                "142178905230993511581717635699322540585",
                "62826095946914043849375266979758566786",
                "235213201054851581675500928489293333552",
                "319641480826185396519830873439869239121",
                "317069676154186269741528845900961049138",
                "4189703273510541275657803744025108585",
                "98324165552169640262570160835450023654",
                "57791161059236327229379967976354314098",
                "258729014592117865666603864018236774856",
                "21369272531101196446403727101539113775",
                "226242762150065322747042190494980199847",
                "307677585173052115239836203187317998385",
                "100949015426424716289323747595667318261",
                "209120773499968093378930472749817001816",
                "52948277549955324844741829214326281810",
                "64230203373837329325899594787319216114",
                "197235202265510553901896534469866807340",
                "9750079129187652701226541181436716803",
                "336514006494096270517217096267846593208",
                "176233663824335991849529633968780858492",
                "325227765654013192849844094839406288754",
                "255505850471257193485021360422561907899",
                "268086349756078122396001476328503800921",
                "290603353721681872354209598967902500849",
                "152354428949008670560023251831361699814",
                "102854652320897842636008378378805170871",
                "322322639673405050168493961456162789794",
                "15240199463854636656576521390913888968",
                "97225543508321731991932197987780304806",
                "142798026298956009946079367384681782176",
                "144651749226803905978098380524896866689",
                "338372348338179342657518827909878687796",
                "331454873291113639112549808327115976048",
                "59031353336750962341646107463030194939",
                "209410169608438588705607896737237109267",
                "123386174322875875656160618964687239964",
                "311300865218012045341241387462106228186",
                "213832704967078836669778542927693657808",
                "268049119045395609259838659756748141708",
                "278689558295212185200744690382552248841",
                "30712375304064678111487269253191667497",
                "319341485460736690656680207331880507295",
                "297757333487354363790205263858723018914",
                "322063017098650639042144131118563656446",
                "111671981208659843005626689264410242672",
                "233827164846491837250484049888275211391",
                "13291615796426696574378101779087510855",
                "336288016458558446094994226820428691623",
                "299326885172481286420599306269851070685",
                "333412794789472075362924632475366310606",
                "73161817820098508931751568959102747101",
                "315733705346613396001480771822674208998",
                "99133128373031698907284955415039024388",
                "81394619303381716463751578303568145256",
                "30778551179297954252093020208126454362",
                "79340123785629575626272438040125482224",
                "26404213178643929415700150820398057018",
                "136129458897685751028359953944849584053",
                "269955245546431403261959541886535595196",
                "78505489332652066548649811396985819131",
                "161571711622577542029504499791642292115",
                "25244358457614698284602049483730574575",
                "143356807390410672443095003661274055644",
                "62204293420160522809883381170784532948",
                "32905056081853142853624982958106096593",
                "112935313258954167186754685509290562816",
                "7946407093377808753932998648247631148",
                "314587663831217775903057824617312100771",
                "331636958451652234168792947850581650420",
                "23120325642850460946595551916293735861",
                "208910207788485110281475339170092784398",
                "233777737241485887979476947429899429593",
                "122113678513577661726224353426534088110",
                "259391619171810615668829017496039706149",
                "206348177917743528990709890346473421830",
                "45620093757629255464267091850447989667",
                "115942237165295551221484074302131992375",
                "366378809977349463563344917102355972",
                "112266018145476974676923039211726026824",
                "128552446956795343746043874489485079190",
                "338658767875827339316415308161903909667",
                "153692302981514586502458345174414027316",
                "109083877651826892158054551619305432730",
                "99615123528463793408006253532798750204",
                "95260755000083649652710116866083662418",
                "76246460137146204000949270467802934391",
                "244914887409391709333723443319821769804",
                "264685661766558304957484975023453183903",
                "68545891421444963128240847121697058577",
                "53532760811294515340501384345470162302",
                "191801525764864625555199503454674141241",
                "305309728882063110445888233147403039520",
                "115495436621933945025992142266857044705",
                "46307552621086445210538944534281189100",
                "84659792983399443463214527109153144631",
                "271929284582553435011432649213056401017",
                "30810253859674033133761508096868797709",
                "268149408341211464342056961640314934207",
                "211661310096055408048309524521932556470",
                "55372151802246939125261730506719492642",
                "131407402401016620529830384328347547940",
                "255263001726348708952706780768033822795",
                "297839059659999971261393828486801366162",
                "314065905582594457008992179722593648069",
                "296618411301743389058626457200510689343",
                "57857475751545661686732892635441985672",
                "236606266854962793593871464540547350851",
                "2989176469079357676341224362598245473",
                "69294500288620137530654494970533908584",
                "222700528529308245775255985050926171830",
                "272402564883047635839718948763986274268",
                "221110575433921233623912402458880625034",
                "22446276323729144737516706962502842991",
                "75845763082824274502385523933289321745",
                "203159573175860646402115154103909402750",
                "326622961015225639278021835659815747649",
                "325509540017142203631094286779964168133",
                "150606066546476246458453390459760805777",
                "213008473508785931833181339109635296993",
                "165108507081523861296727384409832233708",
                "277799843612829536905799288762777002346",
                "177802412571247697063969920477660060658",
                "132081432905675175509034693540253772680",
                "539237006782154598865805595860984386",
                "31786294125209338438046478200098429750",
                "84098673786696018545085021631691138159",
                "187610805148547793407271040840400212018",
                "274978341459112017926336867330923328316",
                "230715686648692945567003327694870318093",
                "89158217642468753130406164553338882252",
                "155641023015483976847836248894488080999",
                "199075849086568003430170973166235611734",
                "29815834383453569437794613865573520934",
                "246198634658926374016541454689443306008",
                "13304717113946832184750667897214375982",
                "169427791518004986564021154554374720164",
                "206293471983907834004958591470595774449",
                "319902968484483877296311214327373773218",
                "2976673852535840652501980245642927095",
                "323786936173925305135571906718672495582",
                "8239352521373792880187332722894770858",
                "194778321276320222722115885221161200048",
                "236416893935904836162304256374167025824",
                "308869490917489365247196172157319165323",
                "41132893406775027100730074038429886530",
                "81656468757389758726987248095985101767",
                "268257101472706023033216024491355983709",
                "278902008452674805643056306219977061844",
                "36672278557407714156024916971257910739",
                "229606007705330167099682169227765833484",
                "318855886971151353781090862909364388026",
                "254592292145687057955489358173214849946",
                "120359551525324718604179211573700569105",
                "242093740158662528920861905711756818438",
                "119571635549845560253993971208329289882",
                "286727543609942380813292681142590819127",
                "254017376185877939453550288402456862649",
                "299993207410456403502171426981419366912",
                "166762718268466871465868044611193942377",
                "133696893976274359471130549788273861091",
                "53833252396655884139614736208601808517",
                "251086688095647191045164946887598186711",
                "142005092670681484819827915713467494904",
                "282847282443924060240385464376540437458",
                "87354401437921007587074350786612153149",
                "80433392435877162437033892393947526662",
                "66148726511902159342292644582113807010",
                "170586148276819329969311488795733032864",
                "26877766508606760568639906723344899471",
                "200494342114766376288089246403506454995",
                "226170231175398988699885349295726752036",
                "145566735614765503567441737834636526072",
                "102910257847443902407888581153447314036",
                "55153009370313973447925920844430567227",
                "19861326056578598163699668110964033510",
                "136098141639749986174245818415196516640",
                "37492791358387690488978921758267934211",
                "273588065644774370832537698228587934623",
                "307450837658400316182626579876918731698",
                "324235630243250052662754062047346460175",
                "165029206530091624978149583123476650533",
                "14636575083292225823672764587783092213",
                "209887471318776474096631744840465130609",
                "56795773521710908441697909684129974043",
                "250867772238539778312695649604585993739",
                "302951382439757919718969317891682215588",
                "211109057721079892980567779416512290115",
                "38167025123769916282696535918560414961",
                "53803938968811304774356648211232080460",
                "38658060712781439671498284822008831479",
                "36302113083262522750999112239722552425",
                "193190627963500383871958362673971481797",
                "115755151775815201152315789201510227338",
                "138917561662573597356603749947545586485",
                "303726012409185170277569735508164182342",
                "20159110189294680684811286009427422665",
                "76822855773953760444095227736146086523",
                "159334797699921944394348333193770273552",
                "101698336544850699250006169227422976317",
                "243678346245553338109912182718539732769",
                "42824971150706354653939605886081578427",
                "324895149286893964510857214690258873837",
                "1284044360095032163681581783808900620",
                "266374376274756023006558998202763694538",
                "301403675083503053289551222227852385563",
                "94386227281727260103090136533307565099",
                "39748404889984799676123097832195226467",
                "316664630440763110194998201853002062016",
                "328583981494664032436989722612286153859",
                "261835005778255030314668851100083484761",
                "108261715530046741455479403004093943478",
                "255643072806269808589848581994774447898",
                "4169772108832641828186630121058101838",
                "228923591131608785836021805215137427424",
                "22553486913971065523919703215792535451",
                "271227489070165861624149852237645640375",
                "312955270797445668044171802618932537940",
                "99872163052183554883294478911445571893",
                "176754229600065354789170943378850548777",
                "113481387057979006116866026847609257151",
                "73063148402665927275426863571474416425",
                "265984484227527529328133968548654378519",
                "317512694323348667653761347308896544407",
                "210487361475610363421872960657669448912",
                "152027244544856866592309501628425478853",
                "150961934968963578478629647038917177517",
                "242394378377662477526327782550324780813",
                "123794695491441128404684543259757818134",
                "195632680169516273465580127276497380145",
                "128323175620056026884111334306374442432",
                "98279186885412981854768933519078399377",
                "209952448891273613702803689900312601594",
                "173576516749704723415205539245533610535",
                "257563037328614666167458878928610086884",
                "177570657016350807635638593623958127696",
                "44323061864517669058476639624059303474",
                "26709578565855505049564127731104000883",
                "106588693720760790342691809177449679437",
                "134453724044716552372802880106341536984",
                "231101420969604575339023790963892046555",
                "325619663527316037531868440645627751538",
                "41813636606518732251716137791048423452",
                "268252345906506936086919829988433059916",
                "102705988927962053583659959571900104906",
                "126342921878416142357572726620656214168",
                "122918492778425945756859505648552391812",
                "212570793028719492241166368301320713650",
                "155309665381375215574747803681812813999",
                "96414296954652362814698220387345592634",
                "49549659410745081327521661324425028446",
                "82900540617025924574148448609256916193",
                "89087692453412316424969589903344076723",
                "196545049819083576430575496626009737592",
                "310422654857658936086294459669106622752",
                "220736073423771561676848487382450083986",
                "235472932534920875041695472992758438829",
                "160805331255729398628017116852580089393",
                "21668498210326508007309052376816669325",
                "111503728445296287537867260545277810593",
                "66350025622642442200908532671598008931",
                "53916379882160919576844567779851911644",
                "34846350105822102279621574969701538677",
                "25679789864845493059331498479253554740",
                "178596617679823948087733508079016795498",
                "108240629313353898468211710423100770357",
                "133608000734425510594134616606392566842",
                "338805424518785857171508707954254216790",
                "115495587968093515462315131612237087535",
                "78940052636959694427351832078746810773",
                "17948760027938966369618342805486011346",
                "257224455646596927718406032483475243640",
                "328567517058631039480111701632042348498",
                "12028454553921933800018992567342722444",
                "279073280411289265342356821076271399817",
                "113068717668230190891224264975615943621",
                "75321322978523993340520798609766299782",
                "209083624816685976818671270124373861816",
                "313489455167310272976992700602388330192",
                "3100077837511096987884484095427853101",
                "47188069862007645724955716818700447244",
                "229938828931154855260304716261941454337",
                "87973147748875575192788099800030236563",
                "69765914346410017015193204004337698993",
                "77033097905963214979433565706714287562",
                "240204528826633853276338735275896113860",
                "109630107875027567325960475118029268854",
                "265113352596198105722603660255999768803",
                "229297147238372412857156710328577085836",
                "320042889414294070346144053537439204339",
                "49188572344857965372385701836080098196",
                "314011055933733454747926581325077870266",
                "191673774689118963029481332660223373574",
                "129825845651903326616973746127330654920",
                "167693840301120728987956564610921963112",
                "54759801854483843597356385469313994795",
                "40370211682732926851027309509195101631",
                "121191233941554623618755520907350395580",
                "95089121740216742833071456708840431193",
                "62075066284888413231880234164122518418",
                "270274478978338246450344648959717123735",
                "71507183216270345564969641127573664193",
                "79659592439558219478719759944313972887",
                "146448192092976787062151998524797984680",
                "239419497655146116590236851758504508740",
                "298465660545760964737390833858371402881",
                "98221520820706859512881822866888199513",
                "190103613374613413599885862218801305128",
                "329027538481852795105595476121848964234",
                "67934084804985611609283485777003437688",
                "52693490423975008016383202134472687262",
                "71985424755889677410074784023864883247",
                "292594896813241883498095742848390431256",
                "265610480345478011617480319014084193695",
                "77065669035782732503157258820836636455",
                "327806458548450439220289314191447770665",
                "59948146315803861173769670945237744511",
                "241742398155121607032466912156016584566",
                "310852753765954022267811482630386381758",
                "73591658686351166353054079416193388458",
                "141095467853659226793238136175928186101",
                "245719768234134766193460926340030528337",
                "302459240910660531069206722840353926558",
                "29968709899697013980793081924914959906",
                "74894905934907674044745606630799393820",
                "310376467214670409792312995323989237321",
                "188301003947369531373745040109033919515",
                "114197877699803761534133439717199403369",
                "95250216854307116601338806480902388617",
                "301703421352517875953942069228800210599",
                "15473343405740531731780066745656101812",
                "73110441241921503216764673367842098948",
                "325070813670928635976321230044283963457",
                "115244424153756403508931880455869043429",
                "192555046487042855511296634855333264941",
                "134373971551185236511256249353361617763",
                "60657415994055172519032818758025864491",
                "86523604942546028212873930390429152649",
                "302777112157389337791808462138736161641",
                "261739404595250486455850924325909015720",
                "143894408923385904896019013375028796059",
                "18238743756949961999742835717932828466",
                "156395128379285742498682385419327411600",
                "283274722331700703522238897656430267212",
                "66604545062812693263577857308046587022",
                "213174409795225199877439679801321692700",
                "312521353309923463089422153079462651478",
                "24976737851319386636097633056449931646",
                "237114230645265304711110675217444201245",
                "168153952835607551859511687276668112671",
                "5551446402667796617633378951729697111",
                "271416524729234991810794019514561675870",
                "228613568301727451044308230775994911517",
                "284714138844700536852689568715507905244",
                "179550142833295782710107900877465625757",
                "48994609395368064688801737420810308379",
                "233290635806856506008609447764548022607",
                "195781385385131893674955492908812006565",
                "87733502306208409649124138879978497335",
                "90181983812768212332613175849130021775",
                "50324242181427399769522960157522769835",
                "36153401874139918284270819713949466523",
                "321467889269192064069070888488585527927",
                "125633372981565553920988169717045327285",
                "337086837886901546650848871462154060677",
                "299601660566493624976304695151051396115",
                "223510721864050741951277488676049866554",
                "61776046047541597172551249324224846468",
                "265990220669545387085163293498564714431",
                "325169041380265014969248234556251692384",
                "192535111984376901949976610138356058331",
                "315422583086790214517091745964335300750",
                "175948681380645131898241719631082995535",
                "165927620543486243177395807765987229468",
                "272520065374116608680689615492282866066",
                "118298642999472164973198843853140887446",
                "45613281854878548779654698511226492374",
                "48775040213041207889923807841041219966",
                "289195177983113622230506994801933069796",
                "115611804625375989037352617166179006949",
                "222408483921589920321654829247078220880",
                "334358292305085286772275193339147222930",
                "114754450749962201177488176962593071356",
                "157757423571828146105094073772699385325",
                "100562344538145155147208572711714161991",
                "280666806271831635215076238231225548932",
                "50442811951800198328438097693940591654",
                "246383003362231998988814507644309352825",
                "200792169108197129874750631327069294132",
                "215934847723748263198623694753000462900",
                "95550556366596272757961600854635036254",
                "314517742056653262689378761417884050028",
                "87684828378127394045706512758154501764",
                "43922752993346224263953152788046752518",
                "81084416928529384683981508060667473056",
                "151496336183392300225119485916174973695",
                "301374667388555001504238784956570674409",
                "151484574572722173146379948764620564282",
                "42022731221770719373934272132776803850",
                "85666543383385730485534799129570750134",
                "141314444999673301549913912376912993379",
                "176384522715769206038706111185172774308",
                "57125608404117345876182807210946320389",
                "200758233795760271844837693906140821456",
                "296567002605727121250132521960971193357",
                "269127648412968544605841150292926096484",
                "249916622902990928464892658157650174865",
                "38694981283809685919556496295087337659",
                "193383021555083134345307983874001686968",
                "17887053543530102307068746080564404492",
                "245521080012582567497812840001631883120",
                "143426313365246101161992767481577297289",
                "293252648998499394156711329665154681546",
                "319264848497783994584637815348328386126",
                "30009052629381072561514951680911905839",
                "299902161921711841394050198939409175604",
                "36372307186912021391794608761757575246",
                "19866941477896369086464870938313966433",
                "195052622492228325215516443298967085416",
                "214827949207466260924850545982104232282",
                "199778418152619611594647587101160426410",
                "17859350682179900124657846515414575395",
                "119758207254194768597817867552698983901",
                "89367316165057762630552395689977911786",
                "115082380194960490048768528234694173181",
                "200819260051573792341441427858590816772",
                "261023817574871810738216607710541377920",
                "38122603678297446257042172397122767473",
                "320774358712405319621954437543243882251",
                "188894329532180484651921839001353418964",
                "136903229011221208705590442105221500730",
                "332553612632481417963491356749752398146",
                "333101867945381686358046936287884521407",
                "282519372633153581395835258658408704457",
                "17737198230740921273128045087172087881",
                "95611741554698283725617020832215529049",
                "11479684449171340410328195204291435710",
                "21464144857751084774199438688599387956",
                "39273825121652403907905112160453444344",
                "275709806059669478767814956955881932790",
                "272871775719494842870982058166855937330",
                "330424780267969400830896058385746620787",
                "182624662576689773940007745132926168676",
                "292836675977914816836445883232011204052",
                "90503998088966860606813734469157974255",
                "182120741567870015149236486828287767690",
                "308011867130223533866242654050365687450",
                "319794130802936380897205238308098021855",
                "196783596424919197284620652650201943374",
                "327120505967433595453805041008000435581",
                "89498370073950805555901788463549820458",
                "204516484377755168714653322245084790480",
                "42739680543132581607448228659094666369",
                "31162322513496204040024621650663358180",
                "200897923876604715191796876617324579934",
                "178545554088545206728028692868808557252",
                "54349174094249828640668435087167455294",
                "58557134393268894284031047693299268129",
                "89288109047214170584185085240142430231",
                "309509629001356949584014800522890670656",
                "95727258162700486313610593344560230989",
                "54490033593576881839880786574490358840",
                "103905412712019984247531050035241332052",
                "185292139070071729155382374112346501637",
                "142515138434734673110035156615699980800",
                "297952450277438111623232927645851354222",
                "211246799019727743429769674821187382543",
                "185308485580540165679505351145019042953",
                "250689557792202383759508993885611990146",
                "283821029615652125147985451618340318393",
                "274338162348868442905698527878625913293",
                "311961341248355933053516301299511936088",
                "162220617131929238492038863745637562796",
                "66215177402943080791477272471569343255",
                "162077247932491612757720155918776787000",
                "242311314218512955048217448922693811404",
                "174681595021719209594726078015968087722",
                "288063026084787602129070689493328287465",
                "259257513812858795729904832880311891786",
                "175540285760688680372956511989674092819",
                "49077949315477934154197488661399518002",
                "251497026299243941715105152948284187526",
                "246870344632999713283273800004138628624",
                "286553750627018230195944051586439042764",
                "20025740529485250581288009747276591953",
                "55974273795192681111974858254009123744",
                "78819773509551119738705126722682186053",
                "311937841212090360653775313974556689355",
                "238708806372893640639973404383202130102",
                "16918102852463932089983430611526261461",
                "217734592831726299787677357436509289702",
                "331023365571796491036243329908035799010",
                "72937178474240551468088837091306462929",
                "205325789674747254677144436900521026555",
                "339606344179750901148041501843798787979",
                "289145534316791895032415688863571050063",
                "44198857813430691105246111450395289480",
                "253043698197862597596046047429779106460",
                "331055940763138972561033617694428025307",
                "36038067958842346504421187312948530205",
                "105724770124068386667338307354736391976",
                "68853057745077613150882311481852920014",
                "241709082685089495969489598833673672467",
                "90459697369144629838662810920604919104",
                "25953871831719182810871965722233022451",
                "85273786978515875973582640623794661660",
                "284307549304899351597427939438658813478",
                "330554268356025728393317832007348867265",
                "296183219128794472928537163886669897246",
                "213151351855055396648126028800740649515",
                "327437722569140721739457775192486663547",
                "79540473898490089232547339487161710100",
                "96171093221170140534574067727970831882",
                "232929437240161937165065172034324610116",
                "82837595278290396455827290053432998594",
                "264332094961992278774318232863466063659",
                "83216596509038524390708100247389692504",
                "241682656538164685014708324059350327109",
                "205485251463332028683117111397077674014",
                "198428825615825264206665142656347074327",
                "13215912109865144876226009000053379483",
                "264317288202377289286181596876429424955",
                "336368508188856299385706551488433814186",
                "32258840069577104995370832081265897073",
                "314301155678497927841628328524192294501",
                "98093163719798532438835180302104249466",
                "254602871533183081412110965602387563333",
                "278098795624530669990760822923482422679",
                "291449078414357782888965863488455957649",
                "100631715345083187021483706874936632932",
                "99864561818396411746518616838498646211",
                "231657909788168837430083056576108661734",
                "6162996500002243884461509937132349518",
                "131644788694011607980030488802353266107",
                "51964779450854616167006816323745453125",
                "115414246815691481288900175877640897753",
                "85813099580672295527398375072397696777",
                "277519895119380657234712231997821164039",
                "191933985947237903526642155593991403283",
                "1341639769507138207261019139495325464",
                "97846990034300942161790193378205257957",
                "60122194357552148597198764112287412990",
                "163482917415294291050796707370795035064",
                "111067767907046805976934258221218875551",
                "84469908262172703505962503885268226480",
                "246065112616012159132260269529968641538",
                "130633470168447464511944193813665717815",
                "186061152250531593290264828322418724180",
                "262456702664165722658206794416129568453",
                "317081219188009115100047176072585345645",
                "63576827091701071944799844899371863661",
                "14081567173952754401119038373606754559",
                "233345841468053511521597549934241214213",
                "319378742912148945620099504901348722439",
                "214705000833614331241816117735802458418",
                "22951238325570637471265648346719185601",
                "141792259961263302684240384601265650880",
                "237262930831616605355217566595290656924",
                "29794033923235277858270255320542776951",
                "296691147216904571749383156959646197756",
                "149733465097890447962601491601543777600",
                "275418966982090361991910762688748939415",
                "274366384312332736524857366799098002856",
                "55245417448758237720259391358007602347",
                "10896727531175882264317772577021954478",
                "247888102241767149019322345279365237702",
                "132771289821554790503667133355194473629",
                "164065532437454963832743452690583956832",
                "259617998511408980140751556587791783391",
                "48589393522490719314851871512923247280",
                "291638433080049989346420574261469072991",
                "289191690089721912676470902038530503699",
                "133205566361761029887962582726040712508",
                "192906315858568338160819708887926580387",
                "288616741355920625529145028153654918336",
                "280747831556214710943866568905714247717",
                "87979374398962295080891890113722331056",
                "239097520790504744493110860140487649479",
                "147240147638891075316693440178745629496",
                "326040984628397769997040668743658987604",
                "308618085762174777742609607639249842480",
                "54905883596551845494085927444093173770",
                "61709821617777825150093355305640372664",
                "138656515577309419963841820128925657759",
                "323115291864703445909331797250100279663",
                "160887362954558938910495973480328533250",
                "82760188573528683337479189570264956592",
                "298912081303415158659722658858050775685",
                "12979395182617343663087095010316261534",
                "61367951445690709052660502451575232593",
                "19355995062240807608189254862896068973",
                "233942655113647974477782718672686512548",
                "306417941574374616759531620696572846305",
                "92584913219999864868805180771371594450",
                "144875521285300538730754210128178178920",
                "4298498919993721442870287720146922250",
                "83664068996816335298985908054015599445",
                "297737086050038789148053978663509351375",
                "224164114240692401507690075918856449010",
                "41991848483572026431010653157006665422",
                "73303870381184078068643591707233784503",
                "286374253835299501258305459456039755375",
                "158983849464241683203438116492335208420",
                "104737715491020117372206473110319962482",
                "105439918359107386869073895344273271709",
                "29508964659743270804128539214992604369",
                "146693863915371156782260603298116799657",
                "295308277948657122563383238304618954160",
                "116704014726075176190023994302401186317",
                "56744280265005541958666523550116591001",
                "326618948046984769145509504416278170591",
                "318862625101527109112997000335147697754",
                "82414982865930112700976081147692934089",
                "133562345083645953182858920431763230428",
                "224146082703144482982075820656125990342",
                "18185364190337388370281495161505233101",
                "195496204536888418744550246926427035979",
                "110488338788798600810206761707731757956",
                "237663017515229402337523808879859575438",
                "238953706469503812769801101962989339408",
                "92424013763263371694554213332228557642",
                "156872023778946570656417246318147134393",
                "138202497675006467928164162290137533447",
                "206935706582641623077972507813070418550",
                "75842744066170748274226692329570336959",
                "141705479164077767863059400332559958887",
                "280159475703193677249272877702246927596",
                "327973118414920864279218951049859928708",
                "338024920653591116651051296183736867419",
                "122713311609748390561199761988905819601",
                "282826009509578615506951152486782361901",
                "267757497080283767415900623031145361483",
                "71114684668803314870736520923674453245",
                "54877307950082099010481671730033853522",
                "198957132807992197065791052507935467712",
                "320672377641297250972860523582415967836",
                "98955025749823638657663312964382530451",
                "240356541145782933795267953286482686838",
                "22026812426544437805350961422429107450",
                "22593626485510951636990879625310374349",
                "103764337494012623681040940597097205733",
                "110324259339119514451509282502074863095",
                "47235005838803530571254297378664041326",
                "108910240862164127524972306693200840654",
                "297510331845848280413579766686552138578",
                "41263999526415687763170519833752407101",
                "239840399960345837484106495907702230135",
                "124456383423048178135434075818189004460",
                "10210542157177830581085454830991276394",
                "338424921120635476301049367582050126308",
                "272247251382430616292923223864207675282",
                "13855295124074419768273748536675840610",
                "233151121444939213346821548696689122176",
                "215412163949024654162613829655500616655",
                "172705092461822709082029430568044812",
                "223545018372596579519846510914398458187",
                "215059806022707264826456606951401317292",
                "319108535454186847219742339252625295692",
                "175160672383790323162459142644267438351",
                "309447380713364597985971006455574971490",
                "169781103907047366340856976037621630186",
                "239358608395449623522817656152774865812",
                "195723747742851653025640259044251972126",
                "97947265315668990100456968420236558979",
                "318789381314273580266778791702717316829",
                "207562499706121699125540426283491247670",
                "111659331835916453006853221158912077594",
                "92566128339126236006539772020990713696",
                "226490162907165473458886964672894695933",
                "210596034573917135001963123647843413275",
                "125812491102233570604554431451734986588",
                "163765921741266033537365735741541329850",
                "143067211875497256456943938376714277009",
                "120264166299105197112542992834675063355",
                "141854186940349675913152431227116480113",
                "9566569224192832952770092130455644723",
                "169161264105788325803042993275487664402",
                "240769672454870581452246664623433285151",
                "211935274844934162729131835625297997866",
                "145917529501396488688346720146794712458",
                "214658722303882818342844021858740525597",
                "322153345648990832951068147555465640070",
                "129419344946509325444701457859889053443",
                "262956093248096231473191233195974352412",
                "121038820683329462331680518959121385979",
                "9612392020013745904745736595988247875",
                "197799609636225943098701265000187035961",
                "216694541908748678149677281329866234219",
                "181536047820495902820489885920812229703",
                "182124925502830672076630093957504339734",
                "97119150139989459905171902142823042400",
                "187886326196035314699356530366469426349",
                "292234996126933730380311518138230008153",
                "97279881719168397745308602933993510202",
                "56747418476540106719236853052139058271",
                "125149869136073693948960994960094215989",
                "279771716409006617943887730580476915995",
                "324640670600409383347273415697759138841",
                "64390762350473178884231136971302828202",
                "149424176193556606154535848207444478705",
                "327859717532912210460793159328333138359",
                "110839543956197288896971448747432526200",
                "99225799193572347362273310457302414053",
                "221516175126389134619928899147932302290",
                "71257934276546032554649664700081664521",
                "327036733642131303749544065294934486446",
                "125590773822519750934040377612514146522",
                "201179805573294614068977368440456261382",
                "54548276017679908975002241565320341810",
                "242716167635948675547576021338729842127",
                "194999630698002965658015547394317471346",
                "38587617497628648474852354722683578899",
                "272319015736006859607932747371801830160",
                "317321688515703921151952096972570280509",
                "130966778380705194467361440653439840347",
                "316128514079958648425515060337361745990",
                "288496225456888765778945762963592862181",
                "144318524505601233103835303372421305735",
                "148875450082084801113022262700059877898",
                "172143542056033935869548269027925438710",
                "28447151009758111620698079456311592098",
                "311509814614255420074540661895409860691",
                "202791789076795546742151573379700356814",
                "135801052136409155325287229129373333083",
                "61427188163054038712233774482190768130",
                "235761797467676922037749415067929887952",
                "231484375148991615900621752990652956075",
                "123641311389706756477716736689158139014",
                "152918286759293986114433367371118868530",
                "324846395382002376738121178750949671743",
                "120137696820201410138251139793394441716",
                "172571496208373665301467910226718795196",
                "338501126805542014387329560472753728063",
                "39157756344155048048119873936655680879",
                "106953698400811575731156498989520771522",
                "33039116249637428149366775537716657673",
                "72952532523177611350626423849359186684",
                "101330919152382615362238481184008903840",
                "38757282208214753693371871217047924602",
                "57258083661946672041603135821443935599",
                "249266627935311918194676805861938425962",
                "208522129972561817673322530992335566385",
                "244782234365255245847796725656287259623",
                "22244251349419045447031951836894768265",
                "150922773515098891710360972396356780929",
                "292390623262901472524239020056226250309",
                "175603335887945576338184905755240392972",
                "318473613242823067436775976898941924973",
                "31605758699423562063693024315297915874",
                "80046194361173680299386812956492786966",
                "313693333530083647661427310970851394329",
                "335204426413590579104649480215591752528",
                "282649043312089670694373979421111041755",
                "176528011484398031533494782676408296839",
                "322512448837063231273087151908440336448",
                "68825785666573762871046835498935391364",
                "150088043838674530783508167067611589812",
                "264758989311941130288191525560758649724",
                "126252519458149757976615035554515115082",
                "76454906671575779063136847880223474075",
                "314914812540609611355254801447425686563",
                "96952117691970305658286118824142275492",
                "304823311407675844680438807935278962784",
                "186210510887503907560352864092173131507",
                "201582879084318964787075381700510255236",
                "52697999193919543655746635877277919271",
                "189109108849043466836040645772208083136",
                "259345999851580492965023014969977019886",
                "318035108451375455031983077167833859197",
                "29337700600837574576894734094086302100",
                "19101378262872699211899347319100194843",
                "112187991411956885518785322624940295161",
                "66381855543334514596209737823008505127",
                "7468680991042438566966785586293977668",
                "306474470351103068661410613772622860664",
                "108828264163783889852207094272288492421",
                "264130505178301792422172773168902501869",
                "185874759127579390685343443594775386470",
                "104712844537260552195639058476138290111",
                "228847212546209117565201200024347395311",
                "281370562830805598142927052979203917158",
                "263277935322731740319872474495225210077",
                "246935344929639079320836028497695148106",
                "98540659362577115884615111428137358881",
                "180636396309482586762841398650752017174",
                "205860553971900283030125261006061262560",
                "93117114435154143682621346309252368159",
                "294844843386480468195072724834033075390",
                "295965699658033828837656052072932336901",
                "312204815148361161462645724260755980030",
                "148517402741505167647161691078824831179",
                "17485147297072655089639033374957731580",
                "177287426008249332617012796222407237454",
                "123824107804536608840244688028102640241",
                "101313749324903017681870891125519053471",
                "309681537987127272651838522704895798054",
                "320753473831081143095216469694878684892",
                "130616447852962176569630408117625815582",
                "95698804709578662730078247179073563748",
                "331132319853989965270580810425307115023",
                "239738753170484545871980474964915319670",
                "78403220576392465027455187501536362354",
                "322100944557440014626972308270756875831",
                "62235736915288321832586901933685358154",
                "53716070056892450029047094968014908037",
                "214123303584590081160488428923047345437",
                "219159669962591953460276453044828726698",
                "155264197375764345504473445774596465311",
                "103597446393669351909369482389356524185",
                "156381032550525683082507884400371999794",
                "96669558510330478710238162650815792832",
                "38813941810818651383062890979209298243",
                "232292905499850125626292912316727875072",
                "30161851770153724395584584035547152853",
                "2257200308017703197754038846967061884",
                "260362395938606376241905611695426283493",
                "92347616239404923874901665122819536103",
                "76203902878355516471249165469714693786",
                "50006926347053186055244259513355185931",
                "272735697718681652449618271350977851499",
                "227624319638826101178731081535299802404",
                "152028451939579637013750417734777690694",
                "118586932820637188798081906323295818549",
                "204899166988552412710903378980812397000",
                "224356952604578832122678356677895304142",
                "155026939443097617020155437527026000920",
                "101877514586192555276024029142317792970",
                "226918226717381705192361059583081464557",
                "184014357031208821324422124799852427673",
                "238233916834865117571144210525774528291",
                "228003482199718907394445963053344843718",
                "223253567316786796253298944810755986831",
                "270970681750089037259347126097830350922",
                "219708612833670470258176242556436576401",
                "169240500486323846415992785743376326450",
                "95769234442445684030004819656450724115",
                "173827330293667351491104168173187880328",
                "8028304696256199198780389757341911938",
                "270285052529533846552911691059308379568",
                "283340156050461609977979961873008674926",
                "15850237346228327033908823131755782598",
                "285315928037240348298696648450539119693",
                "11355027797316168645682487229984755424",
                "72879945929664723676847746383583392725",
                "259291251340819932374102840726322490745",
                "262356676529544685013455770198920701461",
                "124079958999888922650660599770459468698",
                "44329238319348738578910280403585321005",
                "147629390333072736942946887606257608027",
                "93259714133796371116879814485468711428",
                "294199316793075572635932091764436895840",
                "262055820711698053418569073514790179782",
                "307644013405628538971022140566709825519",
                "305808202806471429026725044027137322735",
                "31524608596039807612282052441144598643",
                "238152405416632069907702535598513788958",
                "285427324094983687654899117044530446149",
                "316385269570767944451536236443244000496",
                "123351056947393021584773812690462716423",
                "15494265874372439075756015664528005762",
                "122567863164610697680636835337260152961",
                "203150715915029684852903351097373454213",
                "140877025511547242528644808252704075952",
                "165944868692962836915558475442617890349",
                "255814375735577437339069814948230016854",
                "310903352007993670608400471149853951528",
                "338619311500564723730055694128639899322",
                "220829372634943084305773960038841202865",
                "217561122209217200024487033370615911084",
                "42909991594375291166679559002448789112",
                "20342559842942024053056484927320385629",
                "274023534409405956072410876686604831077",
                "218333177271455502060682527180702058879",
                "232424657443130328517958682692475256110",
                "300020685029170099244707024757066304529",
                "289190617752651882613644620232718163077",
                "258391591603459087692282813797553823226",
                "176188511859673186100546197602407703282",
                "309805285345431735546332800272917680289",
                "263234509984896247474422616028521544542",
                "335035890252777376049520166610271911701",
                "205695077986276438116686998001251923328",
                "117360494656055120241801275842850673293",
                "109540345336590768381818350156354871398",
                "134716473441604304663105738394393722883",
                "208832178855813191949126524578807928415",
                "278193307153256482305274111220154962305",
                "26468464024276242390931804416551377371",
                "334412409755395494912293180272923197431",
                "128509910987372943874983946085700459834",
                "327558765916296880680694112405874579070",
                "5841319268909601438819710383717101759",
                "276398608501852262496663994680968581624",
                "105501581084930995491552288197595208676",
                "157420379016930327982127299458442865251",
                "93944780767555482825398244779784878881",
                "305394232242912532392891098835943466585",
                "322326220627907835743703122286375251340",
                "4517055327738991611395796713667749499",
                "44567086248537822943449859108632364896",
                "59075316843338122328862662808606072147",
                "221692041735520268907683210695877913195",
                "291443764485880632069683542797738550681",
                "288376116921716300335814366248402580475",
                "97905545708995802908370668609940488445",
                "246057883062226677526658866274671299038",
                "307130053188548496580456221884206878300",
                "285973264690410102047059488877421512937",
                "240591200589997006872868528938218771818",
                "125848140629147491271853791508829269170",
                "188251164654402073286652632221349371672",
                "95530178604718481681496509878697093925",
                "217060750444655522393158792920472034826",
                "203073485296989654402856427017543251405",
                "99222767273710119639718289405071712333",
                "258349801766639081360960684075683433838",
                "43183351083013186636646239683456867463",
                "282278276330062867479372226037699777973",
                "168370743171073717673761770184609980913",
                "285717080156935216021028844339384481631",
                "23108614921254939443955142925290941682",
                "272425361662657109392675799923552799664",
                "103146188570641827005847196333087242123",
                "226135877561102015283762231832096043664",
                "320180824609328300766042121628609067047",
                "5931557300224955140549118153680630900",
                "91002825484146886036405870649219148896",
                "328986182660401956293447202143805484215",
                "147842002327137594135352771496447993986",
                "233739540849020561207025422078293161644",
                "317221600328709441853025916471141600330",
                "240976400508359995981642525898036866236",
                "239621010499106899036778500038538209470",
                "213018583488675654903534246824953300339",
                "59897414235661173404746360132606153878",
                "10694629525605692727402682012016818260",
                "221548443168582685234430350738568089052",
                "209053990524365489202326823596940089348",
                "99924852372187318920114672793763044141",
                "329897283789260777544048417844451602045",
                "222158040490774682578481093237686590771",
                "51979900821120231275648311806958897301",
                "204838527900206138656998491500204397824",
                "284090387095680435890854747873781259610",
                "255831620618362288247570458580308542867",
                "253828878185681799809757290036960096655",
                "327275968120536924023834046858807115130",
                "236647977566885199732917919090898776263",
                "209053299101039299423884632046351910213",
                "62537851342675253492292526301449220377",
                "130995305179699616264654287690836543088",
                "261118182833482968646889268581262878914",
                "264239885465430153801676506660933867174",
                "333327232773118038652543306583282256819",
                "83804633713779069246302468658624911258",
                "96071888312528053507964001236367862785",
                "99167633515491453344712280884025333606",
                "328929337206501850487497851751373207016",
                "254759659088683631864164402798478522459",
                "132000151038627156953939994083155997438",
                "101687661456078741150612941721103562440",
                "436587807508106176293687703369946610",
                "31589777423695664817920225820677382191",
                "293326147740622216497829545428064796975",
                "159758246142564462427028971708700220254",
                "247252227191521393351577150539227362024",
                "199494694678399031534239254646754911834",
                "263123018094398898522101336732177149019",
                "60988307805996992862482328458923671015",
                "44507214364335717868743330510234187288",
                "322622765891635850085310890476894446236",
                "182562476024908759508118122222713892579",
                "257713190095516582523408309478344169230",
                "201843141469599414594963215462832148834",
                "196878381788275059644180206041985594905",
                "200449840564661915996612359314879409610",
                "268107799119962565819503179758999133620",
                "310771845344290976749920191369269358388",
                "34245837373389697037286734686921578791",
                "105159826043071363783465658374191025292",
                "102235270763948660231580978967489836203",
                "1042214262174050579692638619928049607",
                "270799179241835620828216505214332881189",
                "274902368368124925487633415627861295071",
                "332362817569749678379162739391761373584",
                "85512288623895615527761766338592157197",
                "18886923631246782207843123330157381720",
                "246684569453533019263842784215848257714",
                "178730784202260940513700805591017496723",
                "50161166238450140309465293365657909678",
                "200395008101994807067750455762225671674",
                "138350135700008883317057561755242035812",
                "285373994817987577600202775160936229573",
                "120863846725047129589699440257105215590",
                "145411633578967951797352041482292041644",
                "212065603886937452179719767998387402805",
                "74565199193760658052422675207494489866",
                "82918894675319460915266188832226004320",
                "163900275816082382895185600034301802869",
                "88876323557130907128736068281752860181",
                "332690237709172904966360733512430598697",
                "145760937552682481514105683282638078350",
                "114730074282861283343701013891110838754",
                "154393858987847163739171067102750491414",
                "29458697646620651723010732521274817634",
                "277943356726375414605973272942415445198",
                "220839042425526620949208452425036564176",
                "90323408743650804848820990633898261217",
                "73985510846049578829323633156893823613",
                "245051530469613923546450383205169180109",
                "88883338730423746200129284377024280818",
                "273086785780162002875351063732626365139",
                "22295842908954275879816431265799511907",
                "240254835278959331841842641776818005142",
                "161927198632393319630569628412633758302",
                "240423867885648758243673922447269937727",
                "314675303084357145474150152717786685757",
                "220541897719120536923046873626269267327",
                "212300237627515288839814469549045248950",
                "157828237358629859828128629487423282262",
                "92348932796598131910862526908402050673",
                "114680332784521246697281189062327903699",
                "109360852828629532417421354456333630748",
                "30325962017499842898617523168710994659",
                "135284019766677364848566716426389952443",
                "11867447050941576532935581865630216854",
                "170459071520685615204196189068924509896",
                "63401268255108908626764918052072334112",
                "74503735581673370407962563260557617700",
                "23187653030651961511132558422070302628",
                "316092783074143775501956768516458092476",
                "324469185387937185103100789135335071304",
                "121772257531276070538611430509789630313",
                "287571455851509949685985066382543695653",
                "33396184153091320416702680562611710552",
                "107171722014266412989231497894920422820",
                "146342349293973157770790633888875507024",
                "300718624178463486915633011754946340284",
                "62603324271460770542558643015733299671",
                "92119724227830719587369224847429391917",
                "188067360097399735170975537592385118093",
                "208795388242601555728764146479328572791",
                "18705992776106683688502548635064867043",
                "36390801238220629946507104266383092671",
                "37471141992520589420085461778263381477",
                "226520705273662029599368508038515648210",
                "92491225902579871536927694783175158831",
                "264180113378475259177895496439919088259",
                "163978895479396335202265276746354595636",
                "214669629352001452082440305271323605647",
                "225144537909956669653307716264175024994",
                "299932595476723819715523064294055639577",
                "326545080138830311285078062934088534467",
                "244811228820905071963227881467173737603",
                "76196461670643333207029471525983116619",
                "281566146722597863900855658230042238747",
                "170569913153447443935062419326017367715",
                "14636383886981872765240870925441557868",
                "127493115606713930118167355189575559292",
                "255505136348943533943360813431854480005",
                "226476074377172542047919124326766259010",
                "245742956677884134985710654548980113730",
                "287598411377732007764988014868188379472",
                "151860501938677270784804056658720054837",
                "67987023601763918318644398574999188077",
                "210983424759630235255535292579377447298",
                "217021046180358790194777700470560588432",
                "133388747350090433988177933878225023371",
                "178771418007583662367463424370890354589",
                "127401923800573287100023061075655297442",
                "326746368243486586643995777279400813691",
                "128753910431517454353475016843251097595",
                "99259573928268004164244304784057378064",
                "140416421256039777039561579686688294624",
                "212831485247285643243097604536144126810",
                "122089938849065398961031701567506097052",
                "218272170581970580736488949610361823774",
                "214006202706647303818884168677392318682",
                "140605516730479465171593776398804112076",
                "98721424951400865617378860388134727069",
                "89378015857000826184240977059847985409",
                "248894576835535060224007577655808363346",
                "313806161425356257135986509998639553985",
                "158723863053021746106832078399069145720",
                "122383063858126446167821243474729614303",
                "168118348231935596676243149361630758550",
                "31817831985644363070496193153943649836",
                "19181282515984159579711372149986653731",
                "220234571479766623733567212504708266655",
                "23529284854096982231610676624499082959",
                "44911597937265357889699005125101273780",
                "237990953567896889549031822633387298780",
                "307153901290554928376086310680198459185",
                "123242031773042373720434256838908658723",
                "144556118352101568664519415891335230695",
                "97543394433994134188640470954906305022",
                "142435630181957248435164875003520059461",
                "34198945171724400755761022527865340811",
                "85610397431788947211113481054117587717",
                "209909146089174134133469281307975164431",
                "235621317825344793561638805348184524909",
                "122680493871762470092235087628011763497",
                "97118882847859198810005552818466336884",
                "80549882397552314557919745253375251418",
                "137137794557272298296464789156069517987",
                "217476552134181603765624521558038699659",
                "280327861104440799793716613105292085453",
                "130555290763749346742776073565719243819",
                "285443725398591483373891306272452535702",
                "231028742664232029165969738001968125030",
                "53735495723285965110481145892977839068",
                "84640803418527723260091109571815969991",
                "306999312687762100539725128956510636498",
                "331877740753381090218350501082607632468",
                "103433250794858736582869869556364021149",
                "176841516255785734763394084529464702327",
                "254087206758795915464994762223280751930",
                "130792361384108798523341595596326884693",
                "112214616358903262382525960306115134033",
                "300023820879423463436453836068577082957",
                "36898841206776424195744352442360979050",
                "161572923943660913685742129781213479086",
                "27045987107523443701096084868019000307",
                "111001431357585683567993795942752409973",
                "333847002784990935955233163799209373299",
                "91032166460090024693701614259118410621",
                "331548011510631311126777700211298131231",
                "333146578398131457377641431742648651405",
                "160665227932129565489801577255993828264",
                "173602719272125335285199601684920555121",
                "45291223973260925815022047742031641351",
                "160798521102120003054177779642057718035",
                "291622986772701375195178888460804142096",
                "297294915475308178417524944193937183324",
                "102660870752091808443158711406612964305",
                "297976868502850020041022399331396398088",
                "274127273418198724491327982702020254261",
                "200147125328090710196042412905988614241",
                "338985485821962056972005057837736960307",
                "128992205511353593642492260274523988331",
                "222259511829866343943482078424781202214",
                "281755146082166801440722156706741796720",
                "4062489148301294253932197971090058436",
                "287386625738335777601378673958519791108",
                "171539721251599865227004892084657927252",
                "212317359958550882923668250115369456365",
                "240702211881498201048354310231880787027",
                "118409309281487238656398939185911597122",
                "97525850048750865328000022388194527585",
                "218348082458305676055947167984296294553",
                "231226387864472581723881259172962345997",
                "23063755739092407016861287618632713239",
                "115784672465615200499897165440167670236",
                "185497753099297807514159192876440131066",
                "318615561048455332234664940934538596490",
                "130110200239624683167757026303939056387",
                "222147646608651116812995386000901773865",
                "197268418110247464482751772132837561671",
                "253243224936271129445443562716736317126",
                "21335642473168448252732230193537300543",
                "33104948717664648843979769700820652918",
                "334439912010053534578091901361555408879",
                "247095361199451745062868769796174071994",
                "338461956822634143708211873696498706168",
                "281674006841372251833906254187203914062",
                "48230801581706492687820982110943082376",
                "56763134993327131367558095631187770148",
                "51518546503996131176271161453466622054",
                "312521610827220023902193991752048523955",
                "28722483879524741633077569411450402008",
                "21758789613656096688925051332114453293",
                "88781147335429007825126495213360335535",
                "53243251005668873170603963703521068476",
                "296067788260188342520050040786759505188",
                "64653003937385843919007985205212180240",
                "299184748857604960427962759632308749917",
                "85992902825456060134459305624749350998",
                "338708430690107067502019843294374864923",
                "84154339115064016323026715322970467913",
                "317092640989060886405707525331730009624",
                "77672935474028205898833241858904398233",
                "229124692167308389900486553088840110805",
                "145384309183704874622291357847608097155",
                "197182971049624376680902438212615169408",
                "40844617134146780547278355334620510415",
                "119691918363529668722648828518926646361",
                "5512326118999532233481138577430879727",
                "230533800745974315928620350270933317387",
                "46975440054708916996828787094070324027",
                "214385792122511098867817302057746801130",
                "261679336666919739935544775328019663013",
                "58488109306735374070326911111017455571",
                "65410612567470236823816652310238401868",
                "11779402782270912977724177267704032191",
                "278413467574110683567744800456242860595",
                "100419853018912577224061997312002722337",
                "132329425353571449590645941486756228040",
                "16850684874098958424386354342692235193",
                "232508681717990815574982608851119499796",
                "29477610285890164707339731120006296906",
                "147685962448410954893099027447867284264",
                "79520162278276348859855349266111951826",
                "52010556156871507819504323571652570312",
                "266634106913284162774507387039032573116",
                "176952864074943059105445861423646183935",
                "242171170159559466750941597668996880854",
                "114108260290372269968629009595395895064",
                "69961206421274227253858753597019743988",
                "106959974611003944250059815231245212476",
                "332003874513067338833042755472967152557",
                "315991349805289011036218372678598258240",
                "241962517397831024471851265119130373945",
                "108626722326400568476279423360714933466",
                "123907150969930346134629780360024869904",
                "187196564464626916965071353453069981457",
                "315514413743889882778999253585954285863",
                "200554542609052166204652281416319273440",
                "108641405290465354517360407548493088908",
                "13779058975006464049133264351735288712",
                "150540181156729096530612854076249559362",
                "96748628638201241011985301644391760736",
                "98023343074274257002446587225918371734",
                "57364645420170390408919499663438639147",
                "209365354309053713902518009713826298058",
                "154447802288831345500576868885964541540",
                "76181085466959296926677980235905163928",
                "29184960403976888175507942862321887448",
                "50954386125110465081110056258414970276",
                "144774214948356765277109140032801596852",
                "126376372084863777416340825904758351457",
                "69386645179588781391866157661969037293",
                "4135400479930161113114449864951572771",
                "98314071906165904938727011454817945910",
                "112620968949770439995269483921904690707",
                "270955168889569461337866134301318568767",
                "128003375770323124147645649367028346516",
                "196127801481164472129819281710476250160",
                "86040286385137379165927871585126477275",
                "83933486318889188696683996339814878768",
                "189409124322337263519942357668328953106",
                "144642586578626116323248946771836993923",
                "29676992843863744495335655654484975159",
                "229629525832644211050446050295415576434",
                "217123556475346467045748927211631846176",
                "186059476499102360826433241567478089293",
                "316527223558728822101559902973805417178",
                "109121266773861363101369347380632587831",
                "79400377924934845888074703804738280567",
                "244827646994043728673128378728328887013",
                "11528335830172408024174856460274843526",
                "204774897077912457411926220149173165418",
                "122616752237232492206284198026069525540",
                "303524626447783932699397223240245785701",
                "215359000162360750386912644073150713504",
                "69682591500119227325323741852429820149",
                "86789456600263872904940397317785741645",
                "133694230364963616265064816135746425526",
                "193236013491081510906629497284673763385",
                "35384314545362763822812838506842447226",
                "136736427784754583685326389598706121565",
                "166004647227088084526963493145460131191",
                "159559080526718187963535349148124822048",
                "144495230156222089490095406898073850869",
                "123350786443883551723823230030167661075",
                "247455506924797588558333076746124567017",
                "175302788084550039830338054998950886367",
                "55422053958723501818349389797487372781",
                "272555205310713417901765261049942789803",
                "263055920360215695755800169429632614873",
                "312469433378577607759457413799255187557",
                "186878323439497027747495154633068598387",
                "264922378899314228832884496453106658316",
                "302493893152454087499822007430238832948",
                "79689385142187677181342538084418023070",
                "130671811272607467126409251013484366567",
                "16473844286983300421894540743564204507",
                "301191682326258182337959405137471038912",
                "127135352159909357411470857285003185206",
                "13006171578904253012259363541371112461",
                "111302097281296248909918121629950268853",
                "43431856438570319598709639589208793384",
                "302208766844356255748791376564557040058",
                "118150308478475284983496290469983784425",
                "73392793487408512636027312051694093053",
                "164535377486813541436515268995938561141",
                "86233170415626969324185291524815848334",
                "136516978118064759995644240213325804885",
                "15029700408857886459723225117594573687",
                "332980196106526768036582883836264324475",
                "245053187068586293906124767480438281345",
                "108692185506677515288111636799042645187",
                "183371104018037796015981548735853518189",
                "63998204784300644265272087145357846753",
                "235965930265134532339332445208695283375",
                "336415808504002770633073555148722665509",
                "320081928232867073665473442477702564129",
                "303781045712239839305974440843805881513",
                "159081904657910361700231200016794557318",
                "292198644342607852008222802871573235381",
                "158647420801332873876841184441073248791",
                "174821050046185919856131368977464299144",
                "220799213448512854629875649052676984059",
                "90926868106021052589913390440662968024",
                "139795798418803748002044268903502701596",
                "57639617367585108586332225294039670374",
                "227312518528390251070955723640255834779",
                "14090384221015113885828755013199689139",
                "170354748205645290795801856512182651814",
                "152504173712339588765029763823617282840",
                "208168929520948446455935843121049856346",
                "312313927226293033704863228304779284228",
                "290213024971369313198890753595570007128",
                "23544823105665822351375680960418997244",
                "113107927428671545185719203318641628993",
                "36234807718253364887815998453259256067",
                "319067784030365695758993246331256609885",
                "291496001131144833669891624206064974356",
                "117008578259250599186771304802504056221",
                "259444975596178475841886582073706199728",
                "22939351816305842788538073429888621855",
                "195322005070733725692409146593328214116",
                "112782388630841406806645669264509370584",
                "235441793816428016304593042493943350794",
                "6236015165635017833533790323095017965",
                "175487092658356325853275558440095125920",
                "315483231071944825143972167558405111793",
                "73676768639245131503158574588562994005",
                "196655287977755763642412698587375277413",
                "158207324558847369032423515426219880857",
                "80163345838281883958408283054703672815",
                "124914529668734945625877289610761180201",
                "187958762111753067728934257123269681633",
                "33566829224408465646505138806145833347",
                "80784901857780856970539306516783756065",
                "202953312336961069255681280644595229004",
                "291123166981757254751248187802109739004",
                "250515537489684980604344104098242109038",
                "304080325435819949108737097280552926083",
                "213381124708120945395657170018972063341",
                "65314029260206450036604929349506297787",
                "123575511811282863887241555147330309445",
                "241605339009192149908337287724858317914",
                "12394759188281262644066745259197974412",
                "293967458446633243636160441162467475851",
                "52251462930462522596904792911996726550",
                "212270390819614347015789222920855414607",
                "140684239009361447390025088533301982182",
                "264277933259204442950642920030848491556",
                "261711184653413213499484776052753984912",
                "182963547518593189169901130957964338303",
                "174836393507480492876533820509610238066",
                "263923238584035894039341832471825934790",
                "109120366865747359857310609199814983766",
                "217385352150545598821595448275484513899",
                "328802385001724946544289789883485588313",
                "1199629279957342645829412382893784665",
                "71409391252471853540939346236570835312",
                "319707941518769779613531200496325340321",
                "42541078066361588733922086985302269466",
                "19788746687475757289462847454868421102",
                "98151340240390285580949518675620791484",
                "183284559445598063277419815262648867049",
                "266433233788882700732187308390231524110",
                "120556670436593069223976003251899555419",
                "90213173024474410788682193329864144955",
                "89719634845668948714354071724392487645",
                "46425036088984208691087849271034656016",
                "274775256606609690489470066372696351530",
                "23559000628266017257957006568525202671",
                "271802671471758035137549905246640289340",
                "307107768022259785318525575563608254362",
                "235624801589828657170724002065660767185",
                "172711568652708198600087051013183254328",
                "182093515371870396862362435986552218244",
                "69869686587554317640369984886317120593",
                "328454792856653683004625916257199119730",
                "288673541977927164271972807433235822680",
                "338576814330485259557747671528604588734",
                "218154950103416654105784267502040464788",
                "166490838120169451034272079436598137443",
                "244179280906272683749315819340446620376",
                "220497759844082196705577745353719182173",
                "142634784128150185051296947138157400546",
                "69821103374231876796502594261413453115",
                "289476912771892686900899538773066739918",
                "252741537324462518785613582939879191665",
                "334673257390848026546785010810997465737",
                "59211445268664887045573874312136460404",
                "288669162394810265758420542802468348226",
                "281188139311750536396664046406646713897",
                "181855166649622447680148327404407656654",
                "169774634854697527253587606909312837934",
                "82499756416115061575303741383476888373",
                "88554558198451579289901694580761216259",
                "334722829279949320447676941953675446285",
                "29334935008672229150193098280136906433",
                "298746562754972316093439065569310916656",
                "287788601997555658771941959899477169213",
                "274865564953378407804275479595995692683",
                "228699305017423705905214949220767980224",
                "85038663263609513825136058450127926860",
                "231801565769528160238686029675117402267",
                "19367111364564906756964331096328510327",
                "107104643859411720690442802097352388219",
                "140513991158987769735857650254543603622",
                "131456301721310256274534892403175328490",
                "20788945823123538307060456763570777060",
                "119482143990817283960558769920979557458",
                "45348351906414909499143019342984093901",
                "292004141542105003799821150821238695540",
                "199172723976090204029685319637946318352",
                "12011716151199967257039997542399618726",
                "22232335984371930127792232660479208556",
                "301024298006708292824886229834312506914",
                "165861601649056292496034219746859868834",
                "241483051650475364400118755676493545969",
                "271801150961712619130090407736910244168",
                "131995041356755771897054785521106052534",
                "185462460871874371895472531547950862734",
                "116406723111028717532132800781996929990",
                "249374156559456753766178212731212207750",
                "139043284122076559164243906008858899051",
                "132612181401947745491922175405025368828",
                "33703215992351110595599409141419430609",
                "73450028467187970479194664058290054428",
                "188156039300165130029193826496172566535",
                "336319943914063170035055616304592577688",
                "263294095844859600646933607814891246779",
                "117508718209315850411578320043531358302",
                "120426597473118861816960993355091996722",
                "93231641208758451219351352556098354708",
                "305519674332744255704760984330458703988",
                "150718879556116120811450153735709621067",
                "15568289020506596410135173948757757757",
                "54250260459229282154857249334383688442",
                "260384775379296054960614773168188337107",
                "121563347269248495408263029876319428899",
                "170088448361575941465843137486296642231",
                "267713145071073583209760872540559147433",
                "80060014828589146240865664185379778942",
                "37563122120941438990598429230458031637",
                "82744512510753367775298067006199772577",
                "13045963708675788895711307101608386093",
                "153675888619434688141873673579636513432",
                "3693922809059342448969441579750122956",
                "96021640881159184126551705177411422069",
                "81737224656564907604553034246620800053",
                "286321737769758732140428740041119765795",
                "100120515011384796328943202438318499471",
                "268690834734141031363906809962628488243",
                "334660973303622943387745569256101932167",
                "200501383188300412230383117134140932787",
                "41547244154649150796367732568430330845",
                "326704306992930003233670078535526999277",
                "186275036480194099166249681085022869533",
                "11226814650799019069421636995811841112",
                "286994222494488596738816717699873497969",
                "165460861788442854349780873234916033039",
                "81522180210123747202286802721272863784",
                "162685855370369896503779397267886979285",
                "31381427615689382942227498291488967040",
                "216378914400402444235582226964169008536",
                "257524812802072626950334260634225132479",
                "88404063757014009201370196627516767083",
                "301136875315559587742087358260066915551",
                "118834421255076569896140079948591023935",
                "77671989205051713265041279666694443792",
                "24549275528304446539838198937692149388",
                "43650639240340578135414875959069695991",
                "293037404793196370806867334273870570158",
                "125239138721752645403933068270370593880",
                "34122242866771921451233872573218359172",
                "234476057155423496712822532328793361769",
                "134692124012725478792570747391093948006",
                "320421864031723986269045265397459063644",
                "57846277000381764884409807210207077065",
                "244201245998310944925883003424803361547",
                "226622689198344096720245238305641090098",
                "299388763045502188123431576319469404374",
                "226478496226788074810677714085834950166",
                "312279321077452801127332438752689161433",
                "93196694512635303921114390942153237823",
                "218474063279251015450129161723181448834",
                "335396255222563006871995162811954789328",
                "328904740619858836502376429031913024993",
                "314886181470218334130883935480283545379",
                "111004628800519709438746369796393164781",
                "108125198885237441773307751595252743186",
                "181524891364759134610783655516349165358",
                "95157033887019654562674678298069277225",
                "114211936037673062829514975910058689459",
                "148945152672659554439203336308230026566",
                "222266205972947836501859563357084345497",
                "20109130730484724771515905774956472004",
                "65062726222629742762790278308579150515",
                "333717378313239510181208592600899835494",
                "243462860893200584871991239475942741763",
                "38138114826457621457118975457508435767",
                "309847121614780177021835314601526643467",
                "26248259528481691112636669436616328363",
                "102220138845402529772212148232838054444",
                "51939565013950678367389259267722157205",
                "146959674613869642963615492448535229917",
                "120038154173515626078489926631087724258",
                "21948993069831636372165371857064664457",
                "22464126578841895986950249186706385371",
                "9623288700115795977492770004687382434",
                "281878265570297739133034942259018830021",
                "286045856856199876377234072844356671104",
                "175406016508892624572552156685872174861",
                "242870594679886483812726779325622508205",
                "162814733074013361897987335025755821775",
                "163432428279178050182281989347088909350",
                "305989720820097337948316503189037770158",
                "285383734761949407252839435669226972590",
                "274329362610382245676036169228430963266",
                "73968678805121848254294979352101723856",
                "304623694094238965278637267762032132541",
                "147838841116943658610378559703109136390",
                "212122803172416215946542562859966519724",
                "79497313344244911612138182567518023262",
                "285635140739924036720070483004701770659",
                "110215764346416375065720920734274160885",
                "192017506519792731135058461650464948810",
                "213283073366443652991899587273768157886",
                "141028329775079176480864128572095580026",
                "136261810895295807575899296842875564144",
                "187199971222289777714310978043956213872",
                "32062817429522905804129107222964574768",
                "161341215437705030378404673283870006298",
                "278839207238111259615259129928607265377",
                "245580855181352267457549162587764564776",
                "160696591382242199392523916936070916554",
                "274855181655361606064496630317077806694",
                "190209111459274650441575233943197616649",
                "197471766293073573242006256953746546323",
                "298286983554299266386361027752187586197",
                "165728583759190247815299441760080950766",
                "160483090124131633708877443987981259762",
                "263398976096829872592478157873779010956",
                "121299570741841528026483759899375472152",
                "319045676874508866955219940892860507021",
                "56874173283479023266840580459756026437",
                "75867696068682497675437224885827118681",
                "338008272638915967789462040674214607262",
                "80421086726290543388840564738415105882",
                "268519250058380623937615845348338924901",
                "241317904161383214012338244082203830288",
                "29689789113564162228139894640908195391",
                "78744111598717850545793461165256618553",
                "189916689305963405825204955817167727188",
                "314774289216930204793537013639758086872",
                "171346728539869822921006170243550649918",
                "65949863237388932636402361487586990811",
                "168136504840818409462424291807698342545",
                "337739524901449057420862674414283814194",
                "128162487141713713787349341459702815003",
                "78111315896358334785456598731652536775",
                "260613089989729146593546219573904046747",
                "243779836480891784600982661814467651451",
                "44600265556093636400817855432460188685",
                "61922380411508184756018741227262909033",
                "248967981495056608315756276230691895765",
                "274372516682531782042352824341375369221",
                "237329995044554604392201542079755321565",
                "289505052378879513828328812661021706708",
                "177384449671092433886484237302731972770",
                "49041589509499543252761413150716649929",
                "326695892875691213335781540340821910635",
                "201143633276736093260221288808855804811",
                "184915195054176886593234222286579631993",
                "325027183076520020905220285727922686659",
                "97801180797397825428463177318997514197",
                "14793406794508933528034994798717148154",
                "222137831784019394135069138490861327888",
                "28576689630184574589704381838680183524",
                "189178602367494434214426433557158788751",
                "337092499699154465892281798469086740549",
                "289917318550177045963007624590211538276",
                "285309182140191811006484477566272376623",
                "28535825718464937560852557652572688574",
                "261009469619673376193368610599728041347",
                "93832204658099041475338529019763578382",
                "179059317578139921041778688532772561531",
                "41524249892358471448635905211925641290",
                "181917699364996275795607678393133655034",
                "181557371565135466643697549017727314218",
                "150043656394585285839399350504815171651",
                "87511119962256755993705526818310748149",
                "215386396283405890173765406592460848990",
                "117417037686020848604419858472502671372",
                "63044185313359720027207116672467321799",
                "153066766139486981382073402603574045119",
                "290301863282350708823320003189695185952",
                "225512717412542298434191775413681860898",
                "221300546778168739642973962056581339625",
                "150709367014118377718185986723838977389",
                "315750939608815615004175327926133676468",
                "275407453072254346328973258308552092806",
                "235030310774557998593170806357688915073",
                "37785261056225732544229173523814149004",
                "293029805768498328380686464254909454579",
                "17356953800725164002317703589313375127",
                "12340768481949369093693853573073920750",
                "266866168707147748183064280260339363375",
                "128706538344103826062909454811858394150",
                "102217756919468298393097680734372285017",
                "88657824685541095565810907985448118738",
                "6629904685987224234220102270182632290",
                "154778283617191491853617438519268512906",
                "166727105527369864345007545764762207803",
                "1155773623632092696263663880381236321",
                "101968846449395184174207691986292610239",
                "172737203825791817062015862020041826854",
                "208207222601451180923974257846209885496",
                "111385664333079489622364074870614821701",
                "115400347574981095695417298232821945899",
                "320469262455562160412858336062016007764",
                "170757027410929165827987976042024623744",
                "74697133964212975128828390390025492681",
                "297489393139117704777898506976708245018",
                "219286565859615823494258810109018078694",
                "286742463183604122275216673522115639155",
                "90999376939660060974333968001220621837",
                "6913346156781257860044599859693520659",
                "184517546126750062490341370190083575344",
                "249937026609872527538712097184018286580",
                "263936043455306938736459362976919875163",
                "43683350274490423255679009350942456710",
                "243998468810047871012207574774812015110",
                "217144385696374242180936146368302526343",
                "175528543943903746638406361688724387106",
                "253645925179372643685256525277417376151",
                "175554861268651407594460549067662800068",
                "206984227069340612899557018920618097928",
                "22801533883813231932662005513120815351",
                "129344010008894176765683661889238957169",
                "38960798899702793961481875070553821061",
                "217583515932308926914801271927781630998",
                "155114508705587788853139233957491030351",
                "157545024610017165647363375024617649516",
                "194538627343488687110385929515456945323",
                "105609222117158206020136141246782502553",
                "53044450538746801374383130106470745801",
                "204404835462667975411506222489860848191",
                "205203399445064697438497852921122860579",
                "300207258906715841082332991666625285905",
                "117934319681225461894912620012695431856",
                "154411289232361173843064838276800712818",
                "239902352068832558895077816287345202530",
                "137587836131624290226495226921307978702",
                "262108816815842236213535762891181564695",
                "321783647218038485415947929137181247135",
                "265512528823129009127060567919990455844",
                "108432887297501501146815400571560469202",
                "268012486222693784953100268166210973555",
                "15350366954509944207961343603484927239",
                "62791149756969259514268403273749333144",
                "284343900142574826146642367236101589072",
                "338162489632121433972213187693365390562",
                "311941488594891144572483887178375310680",
                "317271994580271682805977471679167075658",
                "324104774521912448906657885695776753215",
                "266844982150567045830548087237775882939",
                "29367455828238226240823262063310464385",
                "274718025376810706163872837467306390437",
                "280058706393271183350737461780777268388",
                "38510571162677470199221007311254385566",
                "69403442602943182812353459213166325281",
                "256754043905579065919115755444039586115",
                "308360974163091239063934371705429440470",
                "40667545661377385389414782321191943468",
                "275758777561881355022602101682313925318",
                "135548975719214887703187916009286582161",
                "97477955275831035955100309286150286151",
                "76963848011672245561566019068721541471",
                "327565866188567666091309117152376436945",
                "158042359099605934564579330221443060033",
                "157394409625827407933966100105932459263",
                "218983597552834384352633356028715475359",
                "212627264272350859799436546786098522765",
                "210811577611415647746665669905639100417",
                "82413587938649778083910106400243306093",
                "197242306786750140367890565248077270476",
                "251127974172310345815706857091926397471",
                "77889197441699175216283397231290357540",
                "78474106597753930120609061255459278004",
                "213697860878488955213139003784978827196",
                "119529188150845164412197925497035228721",
                "326251139524196829711318814036496277101",
                "83615799622646142388124906624748529390",
                "71712235251188813704049149173476172064",
                "68954849804914214006723555375299020620",
                "55247740893034433241009539633024349392",
                "151231637403756309614293565492421064733",
                "122818265213812600752351578708187038989",
                "73466940396534335251467021068823825964",
                "172968140432890329869487033219617004433",
                "92536774322593381096888616008362377341",
                "215117959067776909399795041613497555945",
                "250360688435424457327945752959545961932",
                "5404841381040798169348346534859678171",
                "267559924265242228056009239892896080141",
                "77500221043529560110393036675590369260",
                "67899411364557150756350997972968673272",
                "114918158375510772926795367950498107250",
                "230121302893069487478309509802925761447",
                "103464952581317981272623263139686263317",
                "118943202799632421787471522396664267836",
                "27145722208408197402263108813120534134",
                "325415115776794163950669620833726619685",
                "129520812622029273414036337065622306455",
                "201976082394087945779907980818452705412",
                "74835284799045025770553358217446953457",
                "240728194427737562696410917737207655082",
                "152324394448607691207053975982884419703",
                "294350599310598388557181769069249224621",
                "108869923541581882119582645407887291259",
                "331428692231836632807146358697957994048",
                "145804009465116253327541515318349312811",
                "78176190653719245262462222481361922132",
                "316273144733378249677586597058406714077",
                "87902512263463755475728033363849904109",
                "176753103955112176000429775651472609325",
                "170312994844369009605902880946882367577",
                "247783232994278610142876317005745038527",
                "22628032920768961589393280472554713136",
                "29904545167112025637646543173600997474",
                "253113153908425422786308458589351545382",
                "243956258531237653788178075856018728577",
                "313756182800538784627223546182387770044",
                "153132629625290672026333935470020320819",
                "228636325266846886367755277110871843295",
                "88309930056201401388274425643615254573",
                "215289774949521405111650259808675776274",
                "152207496591881282919381064950425366965",
                "99978737160152669449842827690646120251",
                "215821862606246572223571596523658534383",
                "65434605342050951915647986092988797171",
                "314059952174601758740429728897870057840",
                "124818294025439414771181797880776051720",
                "268171099019962341790711419739935345458",
                "24326512489208819196850235596516524388",
                "293688608219758643588972617618789033724",
                "208538963986748832245407178738572104091",
                "292682362432081387595323329736616333897",
                "73777569251487093014358101001843553352",
                "336035953296918031897391897899202619829",
                "101505817042330244311649617672569392768",
                "110731097759000769369123574411237108229",
                "334508962225205173780711294335896928852",
                "143683659316985050918296940685714387590",
                "179367692598843171858485488060274271680",
                "229895907987263419312831899196156287945",
                "164102090749243746531002437429694169947",
                "337569743593908951610709793520187140605",
                "214407360053824120714540170894195829957",
                "233760391366349474350408962858675039453",
                "315455937150470289901541483431010918323",
                "102906082605138567594328060023596172425",
                "63032603406070687852042543886890425835",
                "309613089355681063935044440943890466606",
                "113872229351599500322184663830431820785",
                "50938389398598863005203952034343147205",
                "299055356648105806600981016188872646478",
                "44514233321486266231073463096615851984",
                "131351115484528547105766609882952989866",
                "177362626284076495763855927754737260906",
                "221531768653317207623561064896228199813",
                "250465537072323455137402102406116143103",
                "281965775492755009347228414890940630036",
                "45210419998609458718715703893795794988",
                "229383272846922325142183142770899302167",
                "145504110283856236591200695034899076626",
                "165721282197142107006222001381772063773",
                "321337762721472196000924283304867496832",
                "307861411726032278325564455257281153094",
                "15059878226293879247829014598434993858",
                "247592590026298449777678560601495944052",
                "281817015415633424033816873251628967868",
                "208906674591159503197735410243522469042",
                "202218403068097294745710186044578669558",
                "50610363211693100448886505132880318665",
                "285081440465747144798225304022454637656",
                "71806305704188853752656067282230638102",
                "339839032465503769177479669866475759078",
                "115649759681599211978835171289442835342",
                "130552896154110533065295443785886040101",
                "43688414530106732634678042839921475044",
                "93499653564673013066810524612486359413",
                "2017507422359243495201110810562694765",
                "38618908487962840133401266207564439139",
                "49477931562975992464211091522673828638",
                "66482003624117670097700755395240910544",
                "300706732667375269582540727494528988522",
                "281431389213577327634356960985567045504",
                "172783296543502947824694918997108653138",
                "124110926261240021643193684190110657976",
                "260311967070805548719120676177470588143",
                "97871813799669315463983583142919410014",
                "65107204122574661745865000672636081788",
                "23939651589671657265706736428341585537",
                "316658095550097244798807817925761125556",
                "200376379600123739280090709390572190401",
                "150996229617002872207095627950811108566",
                "241208440702550766985814722441571197969",
                "78981891055286337037773986866428214023",
                "28738514560650797589473221603968401184",
                "64747780587646895830211140887904081184",
                "138508622386631321546988796295126142867",
                "260220578661321343209479105562710927933",
                "19841980975161543772352149713992240042",
                "135962274922062177196189914704532621220",
                "141119141536182149752644312930585884908",
                "71463355405554284112490769373824648382",
                "52642283390612019563849926184413970303",
                "165694714894677258885641639222666860815",
                "60956258405832730007577316618353137885",
                "206179083323843852492047596295189731810",
                "6339568497352524988839837401028559477",
                "122325473562155073169567302711006588965",
                "95692191330598792716309460570020836884",
                "190224536470716799402269141285860541149",
                "186264696251473159287384195577009113591",
                "52992627401804930249234347681863704973",
                "314351109741988937650627168599980413910",
                "209240140449999592614640438074691933241",
                "55335378635811805792080618262170690067",
                "62546579255746558354402524426461706849",
                "80983277385781437067917164751733707924",
                "59267175051353203880078120225449273663",
                "298352167076516558287180317243127883518",
                "191982800614337246884079841660553242835",
                "21394974641366960155434153532559563431",
                "265301468864191960666549134513435606075",
                "8510771189436175674532736429996415123",
                "320747485559531233506445797676041436568",
                "238449997263647408876361695643178157933",
                "197910311298580762470683827024459692405",
                "173585741869241381869532258925284556171",
                "166049486765664633672642911644200313207",
                "248753128225855454191316987087608808096",
                "38096527084183774006034730828748999475",
                "319582369964625977142379094918778700011",
                "245856393522273999319889524070783509238",
                "114372585584005749692256310535804432562",
                "328065889315751493941192057158529070529",
                "238366680350604369878431340988254606838",
                "247612778994935951880224079230363063974",
                "102004577268863149234769937331172095767",
                "171135748917784284735178640110314410557",
                "42599134532742359709785462755580765144",
                "198593253253950922641868274804364941712",
                "253778405328883607367349243557175776436",
                "233094178625752070802365576922908829274",
                "248023372991101024943327595469743925577",
                "179664869481316434943417124952368827122",
                "81062515323556113804979581918533708117",
                "154975469360485683785150485706275374750",
                "73727004943161694425911389603071964470",
                "112372524566303363020567940594510999789",
                "115630862255893379847912958115211838096",
                "33454058061708605129689685985479320071",
                "275937486012355616177075251770038656094",
                "198719477116016281670246574404358367974",
                "212485622165921009416332624970856821519",
                "3760365906075251471890933587381584831",
                "104929624282772676484804597286576255037",
                "155877837319958534368194088205394181464",
                "72407292011836261741776300574576760701",
                "69953835722247239331400811463534567676",
                "47470151315915579743093841284699759745",
                "5822854557001638367092734722975105043",
                "226985070338155066162184465865380677559",
                "224974284997076021936633361151188065703",
                "134379879556204912650014215013554035288",
                "77951199159668101487114901114425510650",
                "128202297648840635005379283157666803610",
                "35741763197937573947432890937906345099",
                "21002180222335431851549626194502378329",
                "182059450851875085635564520541363376819",
                "131086318624815041971527219200943979602",
                "119475649269437140737556512695924447514",
                "153116595356450631148235019456852787795",
                "330577601669204272829352579817053002454",
                "173667855888428125508861805518886243037",
                "216363877682614287977258158771224182113",
                "250730247950753659906807182258766872596",
                "8254397106318233917648275582444805551",
                "224692477942393843227244998014477561017",
                "174178608612522153782606205682779970999",
                "59754286452274204760192598879263041859",
                "120022808898064491253204626403544812525",
                "264537307340571624448861025707252815426",
                "155029918627896982253777180376349967955",
                "204927974648680224567356784373388446996",
                "43034228517549944945001169808623041594",
                "209975483875975626475924821001636054352",
                "221418864418677635990636365859836143357",
                "166699026012129886616068030969321774876",
                "198448964795569020508430420501513085836",
                "102324873909129508743444590215016014810",
                "71353673849077765209718120382129232809",
                "298095816711556802792745227042579601992",
                "40886605590942361390002862940558621717",
                "96683815570136783873894144412150422475",
                "243373510091445200662882284023409839832",
                "107612371567554536914171098874773991993",
                "186865011904458952950446226928270361471",
                "78931494520821263494893466424411899305",
                "210828813879597520896490289392411873489",
                "262754336978488276672023765240001252377",
                "15963338504096966040017213313476130594",
                "264656953511031591287483100698775782255",
                "338877349443171996234850514978661823924",
                "216945714954634246587370324141394889788",
                "226929190011559839518084715995069822280",
                "164255587297142947547158761453965518143",
                "34090472821883407569903475959684121419",
                "13899954493174674462257567500367138696",
                "244154814776796570671970437942275446295",
                "239490912637464440381706126300124679676",
                "186064118464573056994602350524059028775",
                "196349349201662675484464254096779846315",
                "135943221434388602661383308731841136337",
                "150750099115356160722561052965413376491",
                "168521808803223277323541380198231138008",
                "315073857548174426810481990831757630520",
                "231970753680530665910603355584731591177",
                "339843792364189284727847412660382821372",
                "156246275664623933242564595577872336398",
                "186935180664970461267293375778748767321",
                "80814236339182015040273096269188980077",
                "11664955911994231220947490103450307208",
                "222446135492609387799789045072294379718",
                "107001262439208026855387568364313573121",
                "218215949720188897956526992353709642254",
                "324191891556619834616221097784845440014",
                "311620137472642145226074685512739523014",
                "102649896702693940570057073497644913786",
                "37631420311646434551245942046164098072",
                "173440592537499988388997872791547007754",
                "268668834720957450586492556689977091192",
                "286771264320271861876732586503550513114",
                "289197024885301149118221578133554634491",
                "29864392118287959210669421700321723043",
                "173050419389054014167895354223556363616",
                "318025381914750595362195747337803051097",
                "267879746153105280839515149147311068531",
                "325864122167912201087636710734773030821",
                "337419023333687742116596067894020431416",
                "88128548377194711308787662489760661621",
                "93572006490774902351228316558997807234",
                "248089808022213223747229513975385964137",
                "24602671096133228834081832781895928098",
                "171308650117402560543940475391215289784",
                "229390787927781462691029422648309816111",
                "146374380185206836743300919121661146106",
                "298860503106719584478125476001466676966",
                "7599117676936251525800324118909800683",
                "56426450211259899694956301010760444308",
                "20593655183984489932886574179134602420",
                "50709784903849131097864014388464032097",
                "149412999294902756065299100117400631885",
                "111704911750237720825691577147282080755",
                "319309696614620582463852281015258962687",
                "103966156756629279309921521040468723356",
                "162374370100498000787368761590905975472",
                "122018812279939650508982473669963058728",
                "84397949207940982251313164641523779620",
                "186168462372163910971214776961563944732",
                "9513396124925637464747901884433375880",
                "149150949866685309453961378015228660439",
                "239797126019945365091086480782669703426",
                "248000773468276413261802681537373415668",
                "307082359153072684444498134690411468840",
                "96370021797234629324881350339778272128",
                "280644921515228128653043003608760529276",
                "149583604377903921560602936711614508184",
                "32342483983465745224683891298133234937",
                "247732472910616570762207219681753685165",
                "46186391158257771510462173589398415415",
                "23547779096442565990908184591177474646",
                "286620537931611349063210070745109736603",
                "217319305159748457639024299746881507231",
                "142011968011691416992306351202627918841",
                "279979441818945396929930631188171910688",
                "282806667175090492264941118786346346119",
                "214098517263285350622315112460884360587",
                "3638320144944850397232777472948759607",
                "245922628900573292357543118453765592145",
                "52019411979464701823414545044574647851",
                "162496285210592064156731735309200156536",
                "188904515710632078930891638901039163250",
                "47602403630766699090064964264581506356",
                "303821895984793300940536699749326219385",
                "112527248658967096587590191937755716442",
                "78149893565323644580855041550614267274",
                "331958744314089392354417317766782239343",
                "265782861483604516724569183692269122712",
                "192104610190720874214227594521118042100",
                "46114953071228546349720452930464397438",
                "267157338788856167605161676147224432252",
                "262895617481905064972619494516285655799",
                "74488979479489345415276895680152115888",
                "127656160432200540289183030398152588663",
                "305235800472710806445990158634553501494",
                "152476614400477353674744867595006726179",
                "81344427332168257468823381539421030688",
                "202045279314654331067094167984638693336",
                "83353734335888692044982222195323162195",
                "121163553513287682253795064080874134534",
                "79275189124598807417509142568289442081",
                "279027716695160048082823622365078239181",
                "155289295348519249721572133501952444096",
                "186091270733916016423236197529153337630",
                "126380571894941912418773668459621026976",
                "300175427062525210690220282059525116489",
                "325908217401432436204415575333172125756",
                "5834685030911733392014639331745347623",
                "256677116166971608721384327115313301385",
                "195249168163399390394117437965961281509",
                "222780125372689049105694477849707341987",
                "215065698072049775909665300181567235186",
                "222064576550986262418298620294945695622",
                "196307188070259847593167348009802916907",
                "21883759813537116914041738761943729060",
                "268109391115170417158868978629917972645",
                "219775981665073423566119150622317489801",
                "150010123538002633419677863567848712062",
                "102495723891134885656626837233781250312",
                "163374695298188470297944801573940817889",
                "154558072586124050654478157170282883837",
                "71446514713061847686586588071350462847",
                "241351762285983543738196339773608562314",
                "144502250377313775192312639794951404885",
                "21276740209300742712475436420696057070",
                "44573351366672361109797762038403616952",
                "207483786211685286761828445772190110886",
                "269267726544464673325713980864462150101",
                "297364449434387608249081352005916087726",
                "311079684332637953212927482121635710838",
                "268923077320833993182439418162445421780",
                "52276551109042342028992779632265870557",
                "89597842888686819274840332122852915869",
                "309572441781590476358736666879399341755",
                "320173716531917831000275010108376625355",
                "71788659105343955232467891097040461663",
                "18660610835306998342866899415110810761",
                "279944401401232781770779524603422981740",
                "220698546095540003762282790924948453986",
                "219163493419327288241090640228226240661",
                "319542045524977453531848918787772659918",
                "259144285494673245947160499795261484821",
                "14307990805283549049664742311935906663",
                "269563996959806696452619300951103268717",
                "16701576623893073979215631652333656367",
                "128018681148707644773147998118643610225",
                "285593573272266683946911898318614566955",
                "7031542863990764898249716180943165620",
                "183936113395958848513362067988313711332",
                "123844036770808991741555300881455664263",
                "137680820204545434364835576261857470009",
                "205378997566049586042796307844470214784",
                "309580390640925398403078483678097901227",
                "74499146053331870673149986153098146394",
                "288039594688744076335943909244133270314",
                "20829021574766532414861700117581603449",
                "314137160217518757105988703858496897544",
                "304000556009084711498908936110244295870",
                "239611437641680500975530687916481671999",
                "255944170230934071403866801741341965458",
                "128917671657882434201802642322471558860",
                "274328612854158962769997634056566347656",
                "85584632727063983165656910955296372507",
                "234403390703851221965823252922072383356",
                "220250040659611539185789683385560528731",
                "214772663670806471609015393286379499951",
                "103960530202009092533804972264639331584",
                "13790594877783289971822495505664192555",
                "55073763730839995322492112693269221542",
                "210685746626149009278789450527245529041",
                "102197276310448507643692889096646786797",
                "11881772091499205292037952653704313268",
                "24532423238292946366384902529771166841",
                "198691392658996464520466640362119741217",
                "201811861049529465680158338847870716667",
                "188957047087049320345336973241082234112",
                "256022086495543278904529197452097165255",
                "51348293605140895413145328789731489435",
                "181974350591841668602745422509049391851",
                "121181035578498804466506040294104143855",
                "28178743448679817758165896420084047432",
                "284569138294356849463685509012945103616",
                "4604776902558750286443813395724643536",
                "59715160134538611041835337177039202772",
                "59963124638255910923499420964431327435",
                "312274038981349526818405147221300244443",
                "130847936189583513498437830426960437639",
                "166881564492682944495920742609946535470",
                "73480233343825832000414501220254462473",
                "266594276620669305731249540928633741344",
                "191843135568607415682073471047633895169",
                "286102043630211109673050688766581349426",
                "214072275070597165940701609550280154192",
                "156728566194273216195349282783254564325",
                "28735744131479382675536401795917608499",
                "43228112723412445826786548209958625110",
                "14813074388769977588229558019065939981",
                "289505850579025626495102098418755180531",
                "189866495942661110621331652523230748396",
                "18733932241312985966573518748247048336",
                "18826201727490689680795745061356156155",
                "182295066842119684177823953128684413957",
                "38173435879604259385090265566444985090",
                "161931906712506491530180177735746519453",
                "201847640049470255267036300490603861427",
                "210443134868872180810102595495574083865",
                "163285559777466908752815651937975729275",
                "287643646052094935956079891687785439612",
                "198893291508776842443245262997457211921",
                "45717021282509740085088148414792242507",
                "250918092297080207162663034375040487753",
                "41182528979805155718910407185796193273",
                "152174441641615752167575912357215195637",
                "17843875944968584743535828570099702767",
                "249920723393505938347626487782306991398",
                "233564689329693954494172986695448297205",
                "83348359330634565032734135043080886132",
                "208005531388292655956732731064217719685",
                "203054214268422854524649076420172266234",
                "190973672134763422538419631318379637374",
                "123590249892888935895286635337756791900",
                "332092284422933218507945879350896543848",
                "276533007676156294760447553511975734883",
                "211461971800921369132715178722177576259",
                "214586542240337406408350917636087432282",
                "316120006362435258319706377248213867883",
                "54387542970159251674523479674888969766",
                "297218067515488571502180446152137866833",
                "34572282742848687271106403621983806462",
                "331100223306402213961485481070778754646",
                "30537086694299049090736633948939212740",
                "311893007116778095514477612899113024938",
                "137884559124230164626334795139039552337",
                "106464762064996394630560819572769061520",
                "225567838522449389064345028473568346869",
                "331440933789771520778681685232672397467",
                "73337722870196181046943227975847868077",
                "84373148739962746250842367331404597512",
                "25539480342015556791711638711320955589",
                "114253800591319618102110084997691904360",
                "60137878253878525843365805742408597523",
                "8435666745813873471939509509282375723",
                "213931270604750449330117371287741540613",
                "39305115777288586473371303113366185817",
                "264984111494700952494951601461782734327",
                "52345183969830676952560680876552595440",
                "201132926864861116717855198913417851286",
                "255278674507920843673526046170509301914",
                "276796220292550801827114651623086115909",
                "161288581859531772072562281888235718399",
                "48442685071834266524416102774112360071",
                "93268453051880162791620340653256571599",
                "225727783830828205262810411551816369207",
                "229234440112862104413483231849992993375",
                "340125975660056898118454675711782670015",
                "46863701032155838863387795950285011694",
                "11029429544158804982270695809432446948",
                "179095736460703251976541123985153750314",
                "321608414450054540163172443004579657442",
                "316920365354546584825183909023092143449",
                "270651781616218045521723960581637742826",
                "204580251841511373866167852858574482606",
                "88511705082674222833355499785568565032",
                "66456032415529618719327623297253149955",
                "169245476872706379404963110773448207713",
                "1731147839256585063917138210195192411",
                "170515167454271091332088252670505348003",
                "57238279884852444389262537076634273448",
                "87543769696821605812766435247751567383",
                "195243739854099637342125014335794063266",
                "327568849120885426348298415705519423255",
                "316855958436627543405536623226960519456",
                "182958493893495258857748712980189267822",
                "142400190850352582414964982279194511106",
                "56539932049920895614589046874957764858",
                "230831526498186512174419775751265301667",
                "261256582260425103812625822383737696701",
                "127642455013210810072640176458433932487",
                "224991538336072524533280785985555461629",
                "178307236222165347816658612909489848515",
                "110200254734011349861873386349279613689",
                "104947364675965343439704574257515432630",
                "278489655033429188257720045381341446907",
                "149413965079305249566371603793834182605",
                "51656166664205868758382320689506816561",
                "49118800451411142180747167266079138082",
                "151329678714857848922665432738087319227",
                "116190695968354768954157768608037637634",
                "323233952768364720216739869018034761933",
                "243098597657403117184571607056388393465",
                "87662339576145809490435989242068954372",
                "240478000584730873589943334696634287076",
                "131849626041501070372739530535878563312",
                "67764489685370986293693006740567677297",
                "253689654448601952144032972570166781150",
                "296325698764513788160976471378742938270",
                "77037373111792643330713568042020848935",
                "52137376877119779389595117493445717498",
                "186210475601091856962754059798821138891",
                "229116376112401492252114442606970771983",
                "4889598270560839438988139381112567726",
                "257178453492608295983229577159255776947",
                "156735271833307173197563669564990839466",
                "13700674834132670350657476803586733849",
                "272600040711893950419641645799241913183",
                "152071464461635475610761862534473646336",
                "31454859781005977519514817753877156516",
                "292440158152402373475892204094527921519",
                "146958844197341462207154015234821891575",
                "134934939874986299288435680701139232868",
                "241773024311931075300744135036492540864",
                "241249865046270271364790723686587657639",
                "269401497002082447804044339039210218912",
                "25599602726278888425740272298978349709",
                "26648260382452047112183028922173331737",
                "141425173523018340194508606039264080518",
                "290262190518793226741839208892860294402",
                "183255694258841315918041106845717846223",
                "52057143231158439357523176831516087854",
                "321742631851119358358942742794805686106",
                "242647725533829189860818766031531029682",
                "182152519814761427207310116811728338406",
                "198278427048067790661232653956963243933",
                "323160880474292256417281705781037605990",
                "177789020187372208047682022303596688191",
                "314035998823856397547909084873373515982",
                "94091115302203638980636185474652710322",
                "193346952308837562930112283720590167311",
                "224846483901856272964718786328098572332",
                "122389231888713813394584412191067130812",
                "259337742025264839821365590179282038400",
                "91785280819654375840497712394945330939",
                "137449149277674645482006618539762751314",
                "304894118440718644321040304876108027521",
                "64296158709061279763803706627110751503",
                "13993506389332267099015165512293349380",
                "38226073928663902392885158070021565775",
                "127841715389622446986817459050236740149",
                "290272947911050105305251434629351672145",
                "244785145290243850396427295561141300475",
                "253072864987157657655658538499548916070",
                "172242433748057183388749856644752246460",
                "95893562715649614591375901766741559747",
                "15313937654945813767188982360819366044",
                "220544679662971416626990732138647051465",
                "273850125112839836511251838929185546940",
                "164472559074451061849160960951447373439",
                "156083465285662523066049901481412722339",
                "118550852607895633758106687898590799159",
                "258261026831049938976113460271346433460",
                "292647269447607385604467184443311114018",
                "112996202447437345397815978784067171322",
                "94440988511969794732112672957041700858",
                "12325506070475863309007631761249433704",
                "239022763529161893508475172992845483162",
                "113436826444651327036664490558382853555",
                "164119313557787552715575679991275212169",
                "60723561066861701465869872139431295017",
                "116970951126113398044995525031912492909",
                "82913868063052291942425951746345620154",
                "103954362642538626468766306636560435676",
                "40611446493706786799346536863961306780",
                "7887021928608118109603883445581372818",
                "113991319586683809006336333741262666117",
                "144424444444677199793427725292113205263",
                "62616470198196037824767299014810080913",
                "39989992135387694299268402471938729589",
                "208531159592448526077128253222024430949",
                "289367176290610093072531676137161686433",
                "18446624886352937622096867922648761114",
                "98311136335918380517546614715912601079",
                "272075350951818358976260113424200676945",
                "315032951451751039581835816161350434043",
                "1070838016548721008861683424094022137",
                "293833193094111126903710904624053476053",
                "234128796025771707430523677610704202040",
                "155190938294352704531664829855950245833",
                "53251921793956221773615175212848623953",
                "267831938744049985111099734061472123351",
                "175152989566242433941538636853037937700",
                "338814099261247581849147245733697952631",
                "82802389490946870283321412882486126365",
                "115993417799802524310592356530495308832",
                "42332708420249661173880614873794687388",
                "111752562617634882745727502364857819465",
                "157284073214681993688651507493307416233",
                "125177621078805456944608475683168977314",
                "224627204231597298486608417637026991063",
                "317888606644799774767281702901980674807",
                "126974089910349997760987803343664688915",
                "228655786469423643194060850177795788264",
                "69860218622660855083435000778171298779",
                "185292996049787811117008733021344150552",
                "62769550335592643416678834726443805990",
                "266316097282549732430934126418628489306",
                "218707868670103861953965489750339272745",
                "211454050254015902991655733410044126699",
                "93933336885567900060815224182979765250",
                "328192918442600226692184481969991782988",
                "33612804620515091078833267104772334173",
                "306604079275079656257149184005133312588",
                "196928687250561922373855175647698139323",
                "321985691425276729539410735927647989216",
                "324254631495783757955421400430434678279",
                "238519154006719136347732545409024622098",
                "261415099880623335419116998338668098314",
                "170199964144194935105434498630684558060",
                "178458130573376854692248727156415174250",
                "140464332307638634797698984254034936299",
                "260901754156459096893534085756391320106",
                "201070821267586811789683834723057121996",
                "104472254628231136793611592345361485132",
                "257188540102689227897668438206549308236",
                "24896554902349601606368160816617585827",
                "191404650641835707493717859964812583242",
                "75332505098195846885826519311905169319",
                "39480673467688180343127907145787961018",
                "136111909608298503848690975382946331058",
                "115559728979305485741012739478646294877",
                "59636666330853203611150155439833678639",
                "52025104209571064177063441730275332282",
                "118910143222323564895363332947311645836",
                "95298627971257369714222762257149309567",
                "96659982691643738199157954818714741753",
                "189415747508861404502757735778098994289",
                "31959562856936080037928787257323987702",
                "21956252128345379236240998759858046981",
                "56630354365059254623438405027399909645",
                "160724818206206675265426006701748746362",
                "55397461418729509201272173499167787805",
                "66768357805610764584691613398952115291",
                "257095643426312727601443884386438292753",
                "93601078653018669970808621061934982890",
                "2743439240742483337006600942491393315",
                "51491392693723690020306339047304987247",
                "191937743389422330438452281237941886554",
                "105778936980059031014442229458027071159",
                "146912123816302038244358025936944834766",
                "316795443302430011983504817264503348957",
                "186129472526915058883100210587823673837",
                "267981841321793674739030660193853811737",
                "111252165010919207718068970728191687293",
                "186153299374520189130523368614292999517",
                "183585389916830228090377327169866104442",
                "254003197541509806251781611960476785162",
                "106819172238220815262032793374156667240",
                "286140943359686898619342900209463594655",
                "25323565758626523003224195527536305474",
                "328037738605198357833873690639175512454",
                "41203389275996175201397227270156002378",
                "218011500975155412027011705061864723719",
                "223447961197808366651884196569638608842",
                "248738278062709964573501473136502608726",
                "110057515323547177590348627408355247519",
                "311247818301187981157517993038408696175",
                "292746821671235504356237016416070827997",
                "55487220347186626605989188502720347823",
                "239395466325209639785476725210706647907",
                "198442999662447506991022490206986446090",
                "199241788860483747079881277232595074325",
                "230125578861200785718062777391747745926",
                "119880631320835511360952789434930571672",
                "319784226237517543116258813443391931358",
                "327280460627711993734608902909579761588",
                "220027528510507800891415377776694414460",
                "58558686318183359978398439279148284827",
                "34242792674868516028150092483371424631",
                "175964036942498145333622082706029933626",
                "44183494759545925609784002644489075014",
                "135672447183298750408337050627966205819",
                "242745925081529352023095978064603469077",
                "32966708334825668528918142601588686617",
                "134048608710019247865044202950332856938",
                "246532507027817690127296447555361116444",
                "158973511421484610392020049328524898961",
                "226966653551142238920115307302680139045",
                "302876312422731204557795916262307577983",
                "243044509827308094130070041294276915263",
                "322692064997206734012167551671615436177",
                "332635498914692038955897835717400989928",
                "135139799997440170282234675956484270944",
                "256966216013226316109935710243892751045",
                "203755470024456587664721643135406843454",
                "42745137144196790341282551411015917643",
                "97750508001645965146645108843342139591",
                "113669055393077135313609658604085381590",
                "100548069147119363365469008125163623291",
                "216920357430683061911643881016603646387",
                "46188680901364412702961604884801062317",
                "68242991207461985035533482703847399705",
                "33599766297570561332786316967645748820",
                "35336453435214516485225942615545207735",
                "282245846784837175392477598676314306763",
                "261058063713372668543831019177032505651",
                "193120019632869459786112790597630057280",
                "146414411188323220428079191161733358560",
                "118275010862279670702060380962155815091",
                "305542018892803034895588818310576913451",
                "106334730750456107428139827341548498079",
                "156217203099012001226321822672823541079",
                "65523693038326665287246423636678026307",
                "314430983250789956309221139347959958981",
                "229988078382284771461225285970581466083",
                "205436338331592907564248703620652624976",
                "217096496869283722317724090293948690717",
                "78773301408587511427494688962051818328",
                "237784042887836551020261748861572332967",
                "226141665677327700576196457399387248614",
                "302352082844532011623079470349839765078",
                "83649662541165268767861922887068643751",
                "272796878123333404409952531009967500338",
                "72818694092452262478283405077364936756",
                "83837721455134275872540957592389204215",
                "163529846485852384693466523464607630545",
                "333886446773968991684258485199330443490",
                "327637204776284308859711062661200256325",
                "224921128130684722238916338606909773788",
                "61333160845867591853668711537632349194",
                "298644248412737140432080377736958102763",
                "66999159637749902982576373026418159457",
                "60195238780273780629312098481041213738",
                "136718795570999769872018512366173585686",
                "17537499212651311159277757616881723403",
                "169451501751563109423537310950350520517",
                "134954277015052556789648704371306146856",
                "116411133317967619433629047851631009167",
                "265201396067058955993009595920604829649",
                "211370138964697233092544131645201396899",
                "55156137029979880044355697879699200022",
                "60125010245439971432643145230312480919",
                "243998967346419333155443237247340956221",
                "74274429206766513398295385883504306038",
                "318833272894177163549350483948608989492",
                "321857768503454396435418169973158473942",
                "263520694002089247643435221567040417088",
                "82967939155504353235498628189176330905",
                "307893503417550420899934343524457022119",
                "331969570421082296306751338830136414489",
                "164501008564716684236115468874922289155",
                "8508254741904783200321270093610143824",
                "259129645712580329982818665420630658190",
                "138916935132919540489323115910753781246",
                "265031767081940679418169715585547332516",
                "278676488729541885863977020604115551586",
                "125932366355924862775087127595858880354",
                "36101317482598869346881964045231183396",
                "31886492142540812357810972339488586583",
                "60250508349175176698854694316098253522",
                "90549343910808440583852640855556362779",
                "269636008976371583676704661097891222524",
                "317397720087713442630660677696771991671",
                "92325074786716865145816016411156542505",
                "102141156019377062064422465113864518967",
                "52128239160427109768445291564149307063",
                "37804116865871267870535507330841974237",
                "171166212938899168937750377857174390827",
                "68182256383028667706348395863064346802",
                "97924724858677983970124649802668798342",
                "104092425098497537431396627443251226458",
                "299602176285564920107463618456178791777",
                "289624993032676804188828348529784589680",
                "302424525843237366710915535614574164752",
                "232896633825676670375341765616194447430",
                "281544568490951363794605669631883245065",
                "261328231991661922035374331361915271947",
                "131322438639275491282369355819263473897",
                "202685740519521464275442601742325274219",
                "333379536696141052374383294284004364845",
                "287442415846645893492462268602856640986",
                "54554404835307406850260656182374681797",
                "100051469840702586701136833408354232936",
                "139829836684505743795040946756289565826",
                "322641930115666259059306400764946246120",
                "331261701762139122224721458525722407429",
                "212289064018253114943168463755811081435",
                "103049740146222145255390535165056682905",
                "218997708549465738439665305442436929068",
                "188154252820110016828122881965433701707",
                "187057775840152993460340786279942466135",
                "203599898894430651478264033645288894779",
                "212312082854828993448511893104700053925",
                "11307759234510156446691026950908910410",
                "73467133468321009634901272208409258538",
                "85173447796835084827679117726501731101",
                "201453178502047158900164162380014858357",
                "210411842443318491096463677492804570279",
                "300127548122396867777549351886972071118",
                "60238667262206066178678921063026666917",
                "301018278939590581473983391483014372244",
                "296575470412946527493411278102064675859",
                "19631073208201089212231476737864165298",
                "18965511192930462333552938395961216288",
                "14196442427723274485157041267538751856",
                "54090816606333780047814242398621404223",
                "332990374903544820979921991898103116535",
                "228446752763464360439070464829463493590",
                "334759373490090816554927895619132567502",
                "200176469130328633189492228724151628208",
                "76892778314788444710651653390871254168",
                "158322865626436824305327363373704257177",
                "105885318898398706485665220883295958079",
                "334640456250052306141714372967160693675",
                "134048672924305178262283118049116770297",
                "179354432143253888317031165769423909146",
                "280063745830557540479399903983009478804",
                "194140287824532394084875690356728275036",
                "104886235486588693361228964638857765521",
                "132477478511418873432175127049191739144",
                "251719367803596857479090346132815880852",
                "210105456129508488332652450937993453463",
                "109900647042317700547154120919565827323",
                "49014517681574639886643600571880501038",
                "55111357380152476823022435643692842286",
                "6400972234708217335920086074427355077",
                "154024471037190097172963997174380647522",
                "48360597782091312540717156001332287821",
                "298157356521588811314979039275549797040",
                "233833147517414182452260927338160970711",
                "222431342137071284171317069555687174631",
                "127563928860862767376515698693863105309",
                "53505080990462759923929509604091683651",
                "77460706385453548916551996973882872305",
                "104775177934015068733846082538712676668",
                "149035160392498752677835805541864552785",
                "3299064506813287924578650054027849436",
                "283114276591229346116219005508668767484",
                "142089963537055674833148942529166039143",
                "294382508383526683546891272481078919895",
                "38739121911121527056374120774703365956",
                "30031966280516915819842026518233786750",
                "305794062563343436363767779194992632200",
                "115955135675230820639784646011003910718",
                "314036576529499668930691981303878004865",
                "210849322379511113378156448104987303559",
                "174747550287568337690173122674568772097",
                "122064586287259294806977037976097027771",
                "106609283984852605486445294181869056354",
                "23936415515688805595723982955607810853",
                "172521750186868496414015283035227917196",
                "141648268091377516751019042842723920851",
                "85518788490412401871877836735280930246",
                "224246208421279947435220549185630725990",
                "205446788264809657708394754608127228946",
                "114086707679588746500454856668914597132",
                "105469392019391116304942527255684130427",
                "287500465337441576593448780700010218445",
                "43117127097872256229475214544673152363",
                "203677441740960209668231110586086860581",
                "163830286684150359731160005178893403979",
                "109905865657753829018649508393279814896",
                "56074901170929461655829248040336765674",
                "131669661057496587111061335662925797794",
                "225760435768765870695656857805514418336",
                "186496484693923193533606554344967967154",
                "20687902114106619939475433577112613791",
                "191307876982313264094104116579067134311",
                "263807941005804698440434854302169379838",
                "179148108243043924265120009032189689785",
                "151327543026172702464229348261791187250",
                "55394225377001675256220786294905160799",
                "310951688500384357834168388987093593800",
                "303768080260983114124380285728887533542",
                "198771587968806468586208142343671338450",
                "238624522210319573213338404402747944715",
                "314791775645406481371835747221643472943",
                "331005564863321105425938115544288695305",
                "224190057984510925945314999411781242985",
                "203781120796346895350746989697529629722",
                "292807830615067570464239556655190134443",
                "180851541375299637070026314201140129304",
                "40928167102805115690150741561382107347",
                "219198805394501661712803380140119710062",
                "222950763477598107544080561105995472570",
                "290154147669477764708927637396456587179",
                "165334722469820088327081139267871166682",
                "142634813282907643692004790873108681141",
                "290057911491232486189591994790449038358",
                "301032379224751354964243392974878791611",
                "86941127143574585042120089238879729588",
                "44022563814607679063783810726175887560",
                "260451016049339193369040967550647632340",
                "113380124298906589453050342326945683191",
                "333738957336929162867674003721496439004",
                "243666069472875593575298947840897192531",
                "59176071570924790157241104834750602925",
                "157607580819341883740407697170449687475",
                "29985794875670212681705054756975868267",
                "115156152713975945962863046974646844680",
                "319643743040357877837025768830234969109",
                "249764636505412283698022578028597199802",
                "152824038186096242351903822725495679974",
                "253866911079086048749893849822006814139",
                "86424102933051203473398836845543894296",
                "162356806133304414951182637827981993245",
                "162205230674575274208749212123686613396",
                "263097663811615466984121603886201778725",
                "218986354860701755190382707530552581687",
                "199675301343833559612983481185113705066",
                "243904499614075772265489308590487844301",
                "45497338989824697487010273881309370568",
                "311516859597428548681601515993669011680",
                "39812925570708048880547199884074667842",
                "61946964006544642129033062008830242954",
                "97296291025411214597569247489950682812",
                "142391405372190373360061703357854278594",
                "292202563889254346137835005872954029104",
                "194970325806688471740005638138952641235",
                "95806967433990232720831402868735005087",
                "281368063719799806857960847614904843745",
                "276328039262201299690883149733890321692",
                "317142069171577779885803809653815719284",
                "264388577163454628625718908327205582017",
                "250817624696046914200263773663311814935",
                "183054747594339464747190866542097411826",
                "298039212323581827419486441631230774691",
                "90446540880091342359884975723509713912",
                "303472293946615396531584133520273019146",
                "52529781728926464583804052055817727559",
                "176430517634277497998297611547802122701",
                "60421930534563531587586445413950142807",
                "340030106448904155776548388883797498357",
                "87664547267263287500875152283919589168",
                "290292909952636175016227308450458768996",
                "145161703281637933415496106130679981897",
                "112930375753768046627248940054490665158",
                "257239542115907640012368493921915366995",
                "232326345548064515201348501238249499200",
                "232462540013728201181289884780565867130",
                "25391405282632941818709493276254511562",
                "113776282587221997441249993224103372674",
                "283102130379287666871079419828333536325",
                "186261901729968708892807354681988801507",
                "99326864922567303884989066176705651124",
                "129333195312351559508745937998918618674",
                "151229112934292567358243354301007472383",
                "310775498986412555846096975309344056058",
                "152476552367001424287166645673461939453",
                "102263406334156689643388320951092403458",
                "252407417630283598788419256380803426159",
                "213569152916526247206664714921478502012",
                "138818231179680052266439196196286237344",
                "163825972716040987022302201273835430276",
                "317908119590419740384533149300087630244",
                "103659625291284331043906443454558127460",
                "133998989555766610473093077556808405273",
                "72970824746636751862899592985583889242",
                "153681018511567268712360259320204851919",
                "23505329177517265013995045618736345352",
                "28724343873746652291766467906558027726",
                "78999182286824805281193199297280429825",
                "32737926798385914226793357195337722590",
                "215600424813257057853625149636158205981",
                "289191913081646807613530846374701418416",
                "181070341249623344301824406631689562299",
                "920805439162038899490366973164305519",
                "297775855697541308485220648926349209116",
                "94835779690640225329193570123155920466",
                "214801344349318309470754592777322787225",
                "157770132465252989561371824033194991204",
                "63938812536172801090494080402187049681",
                "239043874302641294178560434439710113524",
                "208322486117865134820657390844190393125",
                "236222479295068932247040823913548517794",
                "107876934316743309478039042702557617525",
                "218839012969278913407587448372490386974",
                "234067632380905688563372413431609104466",
                "333197376774406741991570514295617683200",
                "112545042166186611960932873407221230733",
                "244835664946457701245251020507586590547",
                "191785684871619065895684348663542927766",
                "10610759787427393812034494215153761962",
                "266277836209884862558986632677847184942",
                "20362393756929872024168728860453485915",
                "153258411544385712338288877951031378072",
                "181883026016995307372412512758645655837",
                "198956339367222910561667684322312778438",
                "132223889769435804104273053456002042507",
                "248759816952173922590239108583674634962",
                "116517689615102378118673586938119633227",
                "172762602165757716264888978191187061217",
                "247339513954002673158367559542710936883",
                "246440878853058696730978361773625019148",
                "214010803707567575421304323888422611856",
                "308785883424809199993959359494603121954",
                "323703295025148147975288481242167493757",
                "89565942387400538400122703929865011071",
                "176311039432146614541386793003776537538",
                "25013564060265360447727084320582189168",
                "219251065741868508688432336278023911465",
                "78984713010911514203731490671874656687",
                "46082469405725187741153199662285197640",
                "311453760683420835907005623656867569352",
                "269953573828258684856434414184488888465",
                "177644020052676777343723226182284938559",
                "90800018896031975219665875929437653812",
                "48738591357956380571453890392990674201",
                "124077805400567209795963371111413320436",
                "18085064724561044860054024163739556779",
                "18299428409482386641736848923240868540",
                "100402296855934772498049147765405902396",
                "293312184764846871408553621071491320616",
                "162423397777814877054164368230775802003",
                "88851383024064745763363812114720651031",
                "294642313785148637743318025185385307632",
                "57767607023849818056456814121653212593",
                "2834282964268893991295042962351597338",
                "319102217226525832711931364301510789518",
                "187582107652170110870232786671294186203",
                "299528689143049838983897365705842952080",
                "338440839374217710893273809106195661320",
                "899773039943987503978817866375842759",
                "191769441041895858367559760574423573326",
                "162065473217023997858741058901186012202",
                "212540723831849919681159578968990540475",
                "273809374731442656953201861848351191071",
                "290232194484238499930861361118517318021",
                "122656823220813214865997215393142983287",
                "318824999920697474847881325485099565427",
                "245961937515997058969525492569815909785",
                "79360917705852672239230267559554198765",
                "258191780083321650167070165435045571481",
                "79215554875279447576619730840275686586",
                "289198721610842412232351607999097524587",
                "148003389092092128470571331934631327225",
                "201829450286777108007784248692523002943",
                "311678121252117050077316581023741474246",
                "171456222292691583072215370792479495484",
                "133803691866837920607680526487380961954",
                "130773713426892887385485526238266678534",
                "19873277714380962460486833650857341907",
                "57651259322402157981180348136564093610",
                "183103791950988324096696827351615043724",
                "299610000526166414729655448314448623934",
                "130410845390295176749173010254085426857",
                "281726251594292328400946864748774710574",
                "259577637981133023399785831423327777173",
                "65647689248228599332843544908198703474",
                "86467074831768105167253498310044668955",
                "71952108517495929437665001726608070585",
                "318123163758490262090632306266503345180",
                "198839339685678679320652972211689724414",
                "66324040366560516061605740173182475832",
                "216025475024380051757004030539263948476",
                "102713361754109445238178804943020259295",
                "206246871133824589688163549040528648143",
                "237180270815761496923556339686002084905",
                "207659444959813337288934222544305478894",
                "247377038530423593284816572865221299578",
                "73029609854483962939503742466497877189",
                "333852950809208898344264775301911718253",
                "149338483037346284670389930775781600093",
                "233033815878621831308762323621706948034",
                "306754083314603598125731702643108193520",
                "109614551910638055727523312038717468629",
                "193756002209141544923119705760318482376",
                "169197003698003458368347963193391528839",
                "28025967504877803572754400748714143829",
                "29708703098381950482652006625417414929",
                "266148385301206028025308502559392406448",
                "288506110087396677883999778370732026355",
                "9954728282538091490755593745373212367",
                "302221842366852146404981699186887358933",
                "91024150010615430920603503431738122102",
                "214474100817859144597301305477765984531",
                "24543808468111809468628736152770874931",
                "25831455019815903071223383202748723918",
                "159266817851636375475856182498419701345",
                "164857400199154802964894791449338292636",
                "287242245129624566113886193501040769946",
                "207061293827549908551453472651701489835",
                "198669942748527627417197021552319378379",
                "152775196242121433967944472541093252338",
                "126303724377397085882767369174265234854",
                "2476966950224243599793412288797621672",
                "111464068103332423422116220877352332379",
                "276563017645486334528549178279294009317",
                "316655703259115397859899931416420569749",
                "5091430760831335268147878365579002933",
                "7302277015558416663277662986925608880",
                "60936583265088287985990757304685393343",
                "160052493474788702968712171563537300053",
                "231331829655981530424532471127559980109",
                "66784934826327556168739239109667560918",
                "19588769906590506221608012413905079630",
                "198990407877385327427989110730161851531",
                "250759028046701954577693885853590858499",
                "277050246197366197290403617410302337122",
                "10717830692771220956609843667528278658",
                "127296750629588373222124410772516166488",
                "184773220567484080151541493273830227597",
                "238702317021702531888575885125795891831",
                "25339498650198939655466687590480643326",
                "51814804507304239214095821315440656484",
                "284593460641798481040662465045800359812",
                "188070994706841272100897899853168286053",
                "50335941370688050915742274706967345417",
                "107199467696474626215604959362759383893",
                "280280381540907855227118190099194666193",
                "188387677110567947664813014276771584570",
                "56400866580250498919621404613181702737",
                "20603216094110779677834444371711097326",
                "298175125294407539925961123377145682200",
                "212948353681396380479666303101855582824",
                "118776565086648160300421955829718404081",
                "59234873802335050127158425031261082335",
                "209933644660296868908153467772809326695",
                "48367029575140812427596710473691367899",
                "48996513202437276732215324546946764156",
                "227923556462004176045845123524287638964",
                "186727799137233315351548164252774155685",
                "210063848194686366160003017292307302619",
                "226665062506828204213473276562217814387",
                "332947893215371092655976090701633500398",
                "195546539727979992130255332336613394933",
                "10238630169811783238635675227638289532",
                "211386258025205810159561490473422882351",
                "119690737286339423144383938758831975429",
                "330615120350477717915656393990611631397",
                "229465639346546004400304871116828398913",
                "235598285130185238994602395866541776990",
                "338015597618246296180350893842874132547",
                "317818000306996897263010172709978460613",
                "254273863485116645164776655706699160769",
                "225932343794862366671212323652791010067",
                "332844772627986124839170393573315304093",
                "112537342450797519635090034557937481296",
                "116716739335067867620502643612073885717",
                "126807901729493818870440862598342400260",
                "145203725958291615904165390904500255292",
                "96797406766834097378573625454259986371",
                "18584459200590161432010294639447571575",
                "33917844124084121203264940052250294876",
                "255195113842453289139492174749396362117",
                "39201747173743505465691798846616773147",
                "180061579416457651374749618037669922345",
                "203661980169896529962520448882726222634",
                "45905410331061739721263875015717093628",
                "152146187885766808405877204177655032257",
                "147584149874592943329965394364063347869",
                "256574494622342832638405006701238130150",
                "205404395256830713391252038185022857131",
                "207431074047551759046821586092509543988",
                "289374036878893543685370348583682498097",
                "145309860566417950571071550616829646599",
                "167170670236653629013595389623293731820",
                "276929702343408915006845841331922264965",
                "112276813278651001986914812664466515443",
                "172142458998668290702995027282178900138",
                "75508775235037058935359200772051140243",
                "184260000771842954681282296016223379588",
                "129416228197236738200611236723455613886",
                "235476131565951709953923733414275022975",
                "332012526288714759323728503651739616343",
                "196708281310769759933090446615098874670",
                "68470966140294403514585681185261434079",
                "113514020035783109429646693046676612740",
                "98742201271731568189303967972244296188",
                "196933662090831547875104283087673856408",
                "196680354479403131580023908841200645164",
                "178993125102955305507465360580751097706",
                "109619400004865758811283756998750043517",
                "45630384763882106591907478664431877626",
                "3251996590574759399891850404074481639",
                "96096891081117883479122148306415237579",
                "294651550913586772471328501640006137523",
                "48131262204993207509730277319552646214",
                "304253920876068228334524797675463128769",
                "139801783281837204661188662671935932724",
                "202803960582792332150652652880920057341",
                "317226374465615897299389574527101012975",
                "315540421111705126079123261877100815082",
                "293422704655867152207539037822182207333",
                "173692038105235330364330275107359605323",
                "141140440490754449578083574442264519399",
                "161173425656385045620361560592492649416",
                "10866438865152185349647268212105882257",
                "149175702887785251990069008584524620953",
                "286517372349396619442602650176641561866",
                "298368530609120830592644738581401197778",
                "281033065955078201922854547087938671186",
                "35687638014929039055573368515833833230",
                "117314805684320226153110810224251639496",
                "81444664587351442617465832800163657225",
                "178445458325070618860352856427390707438",
                "47533387052074735688451611176356276913",
                "315050594965202505151851846577872233640",
                "193580628921175590791682460505107822706",
                "133782589840880936588104109529217870926",
                "186151081441701096392082506115589408786",
                "103251843685797581455163962874047350477",
                "166271914648644437311033431296107942490",
                "160853790754658023740370161479633504035",
                "104930695607342432177470046303734846106",
                "6122900273807937762389377087229273290",
                "97940206315629090559893747295107638149",
                "107941941165339881919493570622192999133",
                "39591951794581655972428672859485869047",
                "180877891159564849044294637586004062448",
                "111302780418333680386644291142444589894",
                "336907594130951487414694183104789860898",
                "304117333558358409711920950131375306793",
                "104153247991594125772041789677013437843",
                "321731535128673561482317144401463877109",
                "283392120668529937811173909695644846832",
                "305222293752956794928940955548321862261",
                "327162197649415544262110475668712443596",
                "226192785401241078274252458043686709095",
                "234751129449429129073347061948741764947",
                "284305902509515294533581919269279873142",
                "47987559393270961632710545124029975646",
                "333432570245298382338668936365127407625",
                "124321154812982962626437533146007373832",
                "259104226251558706700410935688735139599",
                "117054768317052709408011144142350473719",
                "135262861997552270212575055617474865750",
                "237185755132999935906812068326441077810",
                "52331713828731974417928120396200231282",
                "20110766448234017475851022636501983694",
                "312617523224771857397850984502913273628",
                "237288365906771423522041241381621104401",
                "319521419140069340602358039379325152017",
                "77755561905908032976111002201216200737",
                "256681923967998222008174692680727657043",
                "279735209675150168607968786654302071057",
                "287477021462921010422715023452606048553",
                "11127271077845154080720107960524064093",
                "306619607053388895424419042619173768601",
                "214924356947571602465267264213787211023",
                "90207524554659033753823139458049271981",
                "191078886403051600116236969355109217963",
                "24060391936745269837290938587908086965",
                "172335542812665151034486524217636553795",
                "307954175520988012903823326430478940316",
                "57091391544925773101180606193407488119",
                "293067784298543689063593344260805969077",
                "327992691867117989124436390249489900363",
                "115522567947272942995635409988422973794",
                "69342341849949387431163591761516754746",
                "197123881687671810498348908269161229551",
                "146064987018529124277520181563836234008",
                "209838811288509178683906706705854130893",
                "124635592911201973252285077326675004181",
                "194375535010213683838747036061304205268",
                "76237344212434084154312691133501345234",
                "234490671816726800332822390633010738061",
                "101084844140257746762841564674865989476",
                "115825274760658094877785437945562235460",
                "234059928561851152367899210533995754823",
                "194532063568679850102366948842660657388",
                "254930269848817458894638163592914389718",
                "198941726052440475598624484793216944448",
                "140187940355770402007576300065248790695",
                "333122510220052092290426287406540783265",
                "202634060829411884822041705995678848716",
                "290173526520734612884744907615240316055",
                "288543505976143259908765954293898255387",
                "167016747840935417878545703721418787995",
                "86580324994092209724056658115363153662",
                "202560281684118776413921921943728447264",
                "211720635441367349581867914777394263845",
                "248181975254555942894232589952054131854",
                "305834084579051321679193684977181159672",
                "71415601402924394654029861371153361868",
                "249052403684312357989973789783118333125",
                "33048793925443976177697290939567376918",
                "321863087196049729087672908754597424811",
                "55778350845041841816018011904247899707",
                "17895375851651011153689633405432214758",
                "131752493658598733381263206305419617659",
                "153731587112653235714144580307415320987",
                "238103595451657502751532864786127270785",
                "9115145552611423331726562997956179933",
                "178847998047138993081698448315156850252",
                "237596152757012363897309617146408077879",
                "148453967980558373559744456230258690831",
                "156193780590696169490977643776908249835",
                "334601670822010828180725921267028105332",
                "43789167118663098783781774702681499884",
                "320947232749567874616568827304608622180",
                "31686721653954682835135698806340692961",
                "288102901007915289413038118050408312154",
                "41520426826567529015494687026627024660",
                "248257581772587827171525049836230495711",
                "336844258897709690591965472874756121664",
                "324625888690254273180216016809933898842",
                "73555239873164813588705298649632985279",
                "312567084737674775697332228159102474564",
                "162565993074090042904765313246996450908",
                "55041590799302166016768470678679894019",
                "41286743407453131527416345107156040150",
                "6508711687476043110737489220318989054",
                "18080991951307620411799262589774869628",
                "90881750094304737119989959820845155131",
                "327749720508600060353569841708803274893",
                "10226483601687979701119836374310516151",
                "201339085564369826683065461370804719313",
                "325158264051063073019681052909694064735",
                "279222336958072845634384608893811718826",
                "32648329356899251200839354012014155412",
                "298344501052217925397941555433085046164",
                "171697338701533326253969393550472995583",
                "8742515426021899381918492341773006793",
                "198345699063081600059412197846412692637",
                "37775980684924725638522777370113600830",
                "34903958758780435266150398887680288239",
                "328276566109207206919372060929472995727",
                "326782374697284578396092681888179292731",
                "39199783333120465125163813402596558512",
                "239292367214875157916125725728245995572",
                "29369757541215651362697458628694518704",
                "257008376712119530087245349962019401356",
                "311012546533657857337213741973986660678",
                "88897388964693130298801229492153564739",
                "227119994374097810399317397105410054646",
                "44384054514143750078027803847849361177",
                "177107701020995671036027493263853484603",
                "229071740919541875081162905759695280123",
                "170776647681721689182804558136458152492",
                "189872077791571313985865501439984421053",
                "142640550065069567182503272452187950819",
                "252797660137003297867475252761444076655",
                "95576215357217482007197415721954767665",
                "331341968403480810525786764639796781993",
                "288834549761888673020003851413289504759",
                "105216351151458378830789729669141496540",
                "55410010882120383014247305137114258948",
                "231547896559190064267569816952285436814",
                "108575610773043035381384410524743585868",
                "217512347187280552811122706528236662056",
                "193565533581654961714172620660404442274",
                "231490633961466397919959442574446066393",
                "181056934239801263939879168003613341263",
                "324116852935058656497632429345804826270",
                "181823021269336099311523732902097169926",
                "117055953622028677128372405625160257498",
                "265568710641913276021552864046848719343",
                "51177720068859953367718111577567929157",
                "325834330155117546156076509060943954722",
                "168424834910709360294932039676132385671",
                "62931108061088683022381140921226759575",
                "105897625688973077820077022190718260825",
                "108099994791459770233015121572045427478",
                "89425737588498946966222398865555023454",
                "307765091202586563078716959658716527442",
                "249939846853546102820178416004247540869",
                "284533814196194154411082850072173357372",
                "321291160871073703085758650284927019154",
                "193062439374707257937827338759257115913",
                "28738230488766636110409452877816833076",
                "774019298577165622127920036305637161",
                "165010064882344693989058260145617776701",
                "143645904062522146213244316516927121722",
                "207311521064444689826343517754102631248",
                "76428660169848967428324348086580858017",
                "133489460515738493911025346351900694222",
                "250858719435531531962629949711594020137",
                "153133396338880186928647164973159431853",
                "201757200343341263554659335772736834976",
                "209227098691974193416775684057890906757",
                "319190390284957158099574177491036063970",
                "185211516558062883621093023170124471701",
                "95418103013819620605240790361192722371",
                "325826247547707281964233268858621966760",
                "52328795064102867376802286890742643332",
                "160854458626155965270154389223132009893",
                "80283861977654664820303627782933184017",
                "275481516050539147636101811251891779298",
                "272247593368437570404993739212847141941",
                "238958717598891917507187283910874987764",
                "104729066338786294057268053455288767397",
                "218524195958973316218994453152385753927",
                "301356730065682371042814142530197374212",
                "132067294015804876817722911450332631357",
                "52106564611462591217511977891610349550",
                "18185241932810442473382643926648485322",
                "103273848133173862598241505975302650907",
                "167178987920442864319442311830522560041",
                "283097283091984891514643486214619584179",
                "210464858765566077973092893099306759994",
                "72795038738636043361464520956800116974",
                "93904934439859273046459571967659811791",
                "136911546847146984406018223535027542263",
                "59344705417247823013905790069886142478",
                "119960837307003246313204222331120810887",
                "290928853450047395566508776350728446970",
                "221176110479245125582982381861890894203",
                "75839376867010902581449905301535689316",
                "312061235459792444623157946455053776725",
                "184006419845355788398887378324771355443",
                "327114654457971553680510349701024820307",
                "208280997669289477148370824874300319205",
                "338091207569849324069687478497426075899",
                "10530178953040177400546880158932297515",
                "48501676336692187929557233093969001039",
                "230242716793859845751595878893400412580",
                "304671682009128029930408043929734298645",
                "318583535599221888455257823237535560473",
                "241917009815161106627468963877720116769",
                "186490079960632874172904483955152474586",
                "252486920500628401317016437447105063446",
                "185549933105760083895494661577130293565",
                "62117082733603594179467417472300338327",
                "256176806877831543928150983840045601912",
                "161706668986208473618577356602766083607",
                "139188829639752933467019780635453082803",
                "31422588622993782462521495289697459406",
                "4815586733913736180127409368522668093",
                "155319559297583830075012198605390417832",
                "11605019889294069953265454665551997619",
                "76499314200428788673911810077626180341",
                "318892974209066748710463087966648690857",
                "287960825307749031704155378799150040101",
                "325799664594700691714730929170772268140",
                "311508830288725468796524097552789924520",
                "251969201796836779077154534879218836505",
                "150933651586652290232145897680661255744",
                "89535700729071264451709881266413788744",
                "305829046694689106348914474533340212403",
                "154545181724098887166611492319847036568",
                "291357331011923063555672401650752276341",
                "339474445260772470959306756871705573190",
                "254524176714986419145656263028070635028",
                "248168687248617563288697187915054728157",
                "279934851360741098698743993578072845707",
                "224680860011966509612628417550424875769",
                "49169650271891864815133985197044625224",
                "192530954160692402245910936268728306219",
                "289425804564486091010944631021815225512",
                "253656288917377871598124636002120451744",
                "256468024448017046296653914749394007909",
                "144870975328983023782915212806448146161",
                "127378251573066687885132112799040293917",
                "94520876513813956157503054209587980190",
                "275143540745883757678896204379471044421",
                "114343769649953724809607682026115175658",
                "315954880726289534215811198360195974457",
                "40591174208240509952746230219449235451",
                "178419985014562928152639682204408418900",
                "29822652389342828252281135904868885000",
                "104543049678148659546389807990540755219",
                "333102213528873679554363819787031480118",
                "111218807277757296474992426297435609022",
                "92993544315540442991961259483044318098",
                "87201749167508005807045716986342232458",
                "132727480784592636228047800841691585974",
                "254702370861962023223592066305025246077",
                "86371887671464555954719415476334956705",
                "183105157761275520861974908022438823148",
                "24596061164820126144056772759542446371",
                "49971055895238992505781066403262820077",
                "143156880832189317050192495582440320901",
                "135707625130115506012628740917472462296",
                "321537869227536175926230625913284049924",
                "19658519260313408278038291129519833118",
                "295514068914277337428707343400486321527",
                "314962446379810241983099905977328794301",
                "48065088109624189946245435750585056750",
                "322155287138298443296071165229864361202",
                "258697373535580007640233231425087963998",
                "266931907470011489728258833365864963109",
                "124886124471687120355316194410100853208",
                "7361621998995661270814098887056689063",
                "254966353160152636218831613564596466111",
                "6721796637527323295353466453497067978",
                "310191987454837964607535842240442760563",
                "313797133636198639322826435068342903286",
                "321040756886148910735211488822777147386",
                "169931146086381501510141470936342845459",
                "246780821943033298614041201943329838497",
                "293030491238999830381536689823075303273",
                "207754800742671119172963652216053043443",
                "166852196640239340715072175085380235319",
                "163128761668273185421405396684710710571",
                "296262349111715428882516491837810105553",
                "10168669194537861882736406813235472318",
                "28468933556347306014788628544540660148",
                "82963751282222543384972696217598888871",
                "199549558195415270021064685083356377227",
                "125145550394495517448387200006752113410",
                "8325885374973749215892040307865064114",
                "225857136154055529938279687413121331013",
                "192289818958514171419684425552405556463",
                "85354494348293485598081179689220870223",
                "315160266925111281917121461265623983784",
                "322357659896201474752644108362893306835",
                "21977503076130316738242260856517834911",
                "194881352382818855373217856510928639242",
                "205316225230716533880360576939888895648",
                "240723223901476196560602771702076400856",
                "251158101354178338833488883392908326613",
                "274599424047969669424347690164766113022",
                "333770357321610602996238000076402371839",
                "167964804744951904803768828937935602365",
                "194445177007821392769910033949400452277",
                "59621490559655098667770072550312859284",
                "299628582170866673727786599133083504988",
                "207922030476032688404275280012239020954",
                "258292255280552285449081698668487686086",
                "286140792766385326972256362000974397108",
                "311011959443389995596629697449039517770",
                "261436188340481687864811172055933037161",
                "121999366190077306859036655401208653542",
                "86930050259311374290615754894340173596",
                "123631602342995907042991078544485443183",
                "73743671693169801606170497385944620759",
                "322011177112695625803788631648258585516",
                "46885658259891521431068406001765950911",
                "222518421332940038219213982307988821101",
                "184276639062935623154112438245108640988",
                "57779393237509590641679986656426055750",
                "316342878705894633077304842042737831534",
                "257746255283490203786305785283995522183",
                "11897982313767163510562141053181778235",
                "79569019280511390889687234728391843436",
                "214820751561601831758823791821629683295",
                "191269041141843881653477402798818017283",
                "245387576274572012880237976563284325873",
                "194188428447081943683894939164876464207",
                "167088016902336762677236043333786984510",
                "11688589809867081126198610378448718741",
                "201535555814115325876076288607558043679",
                "185108144612004248821134541944553286303",
                "262827149964572724934892333794382155291",
                "10399246482237754562504105910242110672",
                "46043054648279896555454353629733751045",
                "2519729409974821542797932825158003194",
                "307473087276377724907300949247272673238",
                "73269914042336118388250503704663826057",
                "321003709915025876988095987258998374033",
                "39134266319977108482142837019694186210",
                "181562029479628227590317906001663883816",
                "57555298900584316028236522736831245145",
                "32262292274483335240426819420338523953",
                "8336447304437275857464487975259465760",
                "226516653539172000077712468613026637098",
                "47442887421576875459860521077147560379",
                "168537688464194599934042169117249762650",
                "44048724242215643841482396372367936572",
                "21707291482097888387501941699551366449",
                "305914611181215620476163529461545206047",
                "331043836162288420045990735796652606204",
                "285418241737045521410596788906858723376",
                "292047476868574766368117869830640011427",
                "68377778792449808899249162717072859220",
                "164834539665592044352549110206545446358",
                "109878542174435916580846138764000208409",
                "204633037981471440826708084753054226460",
                "73408150706003475108442638874883041195",
                "202769580786944555962812627231697684949",
                "292334083635063987837009038476408030584",
                "35553728061573309029977592115311197046",
                "117976349194007352408098874537938573031",
                "94875344486548450549689467946867484192",
                "11272375232491755378849661340636836709",
                "93499067182374455735807371538003400079",
                "126737416925993489066011234139148915486",
                "215487681528932925450976867482775459652",
                "165788272179226895047122269426026515209",
                "281661628597171054967175313033559039916",
                "31991938558598243987058717938381103738",
                "30602165614729606775841345771799769836",
                "302696149476428336257824266929864263066",
                "7906888396313325082737298598226233693",
                "212761649955713514879579487466719718550",
                "176543283813449410672361917922194550066",
                "281586404033944677146308829902672591451",
                "258590270550405619985645380312988768867",
                "47762278256219180536373470635383309889",
                "262220319627848962821601867920035838964",
                "185176924518807123853004948710595531539",
                "139697209858399368958830776842520390218",
                "330941580340727781487024632221265129102",
                "300345626690019982217830831773819838016",
                "137313879649222557046053779210351217478",
                "184669888718663566511832388053832061223",
                "45255926205280006365649949113441867729",
                "249934166957718498962284508677447425207",
                "188788838797517312663947340210270630719",
                "157639806677354641958720933340773976969",
                "14397936923580056402313026394111988849",
                "139789724566163571904725871384913176945",
                "137441865186673033241420082781731115667",
                "315992537186228437065085230662550881357",
                "123993701771807965224003678374419119670",
                "21407115591430154315460358923429093905",
                "24231821999460219684350408736977465813",
                "118527506094404029151692698646847507085",
                "105746152316418238290209805660689269969",
                "253599169534750336686517818736399314275",
                "178205591268634651177026118576471719390",
                "312029030529889380185247716595720329933",
                "254884374164634656388790604142782219219",
                "299650852618825674712324634844968276255",
                "153889200327555542367546927404215283307",
                "286980083327600711437035059775763728666",
                "199379860159030689477674918628520504720",
                "167472793490175579826917796627897172538",
                "72176515722793585636806471445959899006",
                "307418506502544028638651643840368501266",
                "164927648442867692893573136767997387902",
                "250746159190379306825302025256065353031",
                "64691550918325648234961509520487294246",
                "13160979130888591093177202631399591077",
                "230716089476953276697725026827920450335",
                "288096515539307126051006040237602479458",
                "92954294142936744813159195413970901187",
                "237272302550676765453733118503865758656",
                "332083883410791402091341681736276315974",
                "138942824363178737174404400811811497615",
                "86402247713819314639516390281116356521",
                "299086323549453569647603233174946135841",
                "65024016225702767802046871951419148606",
                "116488901619709160808584846071442646146",
                "181215779288161595089304570687461091128",
                "317273674545100916719553723846155853121",
                "48907593432849703290082168556037637079",
                "322226463687579535355722910091225088230",
                "109137919832405570469966831735184731861",
                "224662410426808356002068722238817467433",
                "255906869358785660186278606229981719258",
                "324065568787094419648653577443672260735",
                "243015956242300744191849718473556619257",
                "91126725173255052511452352665986368838",
                "125628380938915737083271606905077866505",
                "326873923186324545379891994852280007064",
                "236189560318860051024530506906766533702",
                "217738021488313799767731071904484135805",
                "293282189713533506803882715922065397288",
                "37614598486146212706004723261408090652",
                "284947560891212563219903824695031845588",
                "75036599660025350603542310774892017150",
                "243041846202253783668180883784860504977",
                "161237186174603548084863919301299421317",
                "169847313929195310498366980573022833985",
                "114684215994343205347948616805837662583",
                "131493584825224068082011798429761348369",
                "220470155653642863241013940467395659149",
                "134819769557705511204149259041917464293",
                "206636355499846036559345146309312122253",
                "288086977930114856870499992150365941823",
                "128426033349967492764640515802297406241",
                "204453907278403671268157857471649259152",
                "333790666623227213029320025022384068451",
                "289390188326405079544409226224546523077",
                "324041585552935451253117895569723430654",
                "223034377299447540689935936865230601535",
                "264471047096387228268190503865260316720",
                "176915241940635614801539302930938405067",
                "192681700524941106884015048554869100309",
                "123780964730974436752036755180451683826",
                "336483693275742236229498575372540352162",
                "146696494378132435717551731653609772944",
                "308495418745211445773569260496472980844",
                "316542850680720963572046165726811555928",
                "116664976576559894891800762149810908008",
                "67939463058083161676120505094247833092",
                "102151491748787308812935389974244388999",
                "154768388497332879397928245205362707797",
                "297844714404795760659606488695056651343",
                "303464041009546272251207680016771605899",
                "329791888596059983817151533208318691143",
                "143381380380689357309958233535799696652",
                "106495016571744588156624698264758973811",
                "188207194557172171058153435278401067768",
                "174997916933557024260154409038592774470",
                "1930137877657936453986944977548016251",
                "19219823671498203528467141884814544173",
                "85251350438563139763655489041844091943",
                "57431253317287910736691472222899526902",
                "300241939817367214375741678666822457389",
                "106739373780165987995219638667058624105",
                "41863052243989975708272552530745385167",
                "279440604815208333366542033996123595211",
                "281323944585747339022480413653019290307",
                "51750947059876317349001844230639780770",
                "94371803863950036285784481485339424244",
                "229085606606581026230005989273080569996",
                "319431966146850117131641269607863789565",
                "214728778843961675835567645150954519100",
                "120642107964360435299942205484877142480",
                "91833044259169545222708352501297084413",
                "255506270218420752048010174248149684287",
                "110647209639874263240245954619493971345",
                "127878257906353930628497512019982050668",
                "40202519361635730287543889474177798352",
                "137188406107375127903259888400291171663",
                "322274321768340250767656496612967193881",
                "284185879701711438436406291658890777297",
                "7861112920008415954559078867793740996",
                "21527973043193211274581836327812253976",
                "116470913245209308611933483166523875240",
                "287136872304134210786498993607234421272",
                "270432852400135415176306297024798624768",
                "60355975617623112774752560873817277519",
                "183211441893913993663691585411094572435",
                "89742883893146141861985048321882091876",
                "51117056962898207939122171613647021110",
                "53985834181747367586270427300423357276",
                "320928920581230596985387221715789683645",
                "230797384020148500290815426348386195085",
                "68189508183776937751641350227452453965",
                "29532346026398411101076663961111918010",
                "291343844681396725480642131881953449366",
                "188844527429582529742686473532408813739",
                "1353767228404422800033525518216229556",
                "115851158059924793239978813385727746082",
                "56870910074413547272346827417109198119",
                "108412156433693792069327171527622618071",
                "276092054351178012317992596532906854001",
                "189061534872273332105225240172718592761",
                "99655757378917351722830485292554016067",
                "155827356826193486107611232242882029989",
                "80704299172163163666704367662755707497",
                "72782131257905860750133651375656546826",
                "62526331836825416478147782645661868705",
                "338720184341411066930142326968246514056",
                "251513979590036470381472918890283337864",
                "103496304888018708140032355554195926025",
                "70019621272325871031859911444037644985",
                "219593476660018374872104617919030842085",
                "3157845016550745357086119843483368581",
                "311836542509461858810218122032104753930",
                "16383287042111772837159703455528407629",
                "16342185051386136198812470725063288752",
                "208905579338680413053741063327767948133",
                "281562475826536401011172772499799518000",
                "170485945827423117023188437457412831489",
                "65320600810168163910867390751757725613",
                "303671416557342230002240440622979552372",
                "11267589322019573937245239074778668607",
                "214941558311223431849934599040282152515",
                "254393737887164514523600736604979806331",
                "83688015841766040903825560348496576285",
                "297116941454471260210897358895705893347",
                "168410384263184598298903348912202523210",
                "108902301611767392146654379933708380217",
                "324787757757700495629173730918108856678",
                "254752836008257464231742571114239915162",
                "63454827645426324218266813469777219799",
                "207199681477192337060154903827702001033",
                "311454351382050099217150030268761912742",
                "189193063132695267596157977941147335004",
                "44406369314816701694867024620391038003",
                "68664460855983473050449924904647622808",
                "213214558749645519673668223214858337969",
                "261228719682924092059181788328680955674",
                "309312900967724686481994582244179206791",
                "75864464077046180454403457464084906116",
                "40320556194476556338235399438374082162",
                "209164382822230628885289317096358525891",
                "132750054616822898936827298987102566549",
                "317152435926006639484649856768096923792",
                "89152716957244741113263184611516875452",
                "243244034957261745032404943445740873287",
                "330449826679761396437679381248080497277",
                "302117767701463479277364926288443130854",
                "31738667356311864603002518451688326364",
                "254952898319874508593233967934812720242",
                "105492841983910970718366038060708333941",
                "165366994136560997495112748217871956634",
                "317324900305117170791408402419199506472",
                "75552267443411809273252022772081620528",
                "238603094925949234345656667083790923501",
                "185592960483711108827461025040110750618",
                "118433254480194618031705094054544150016",
                "63531145484551386658985780376112283425",
                "289916816791123692074796163592517084063",
                "255863252837454282901472209056426730187",
                "61258148399374862001370049014180293747",
                "282536378130839772034207648600442293913",
                "37776434975122925315070688567561636407",
                "4789776015381226001536432029277106397",
                "183215595131447354578245406861538468022",
                "141408507820274808640078514523023782015",
                "219069115806598588766603118403340355953",
                "225293224033276862785468417019667545223",
                "12949597554978194113553686743178491739",
                "145231827516939071854399143594007003944",
                "143503828417307140838105842968397137440",
                "157938641522350583123211128174150036864",
                "328803179036284818368584169728725561289",
                "40204885185434812624572482343095691151",
                "262003853968822930403081433678718263990",
                "132427608584733104133705216508432856607",
                "144170854758249933250461577816027620595",
                "143843633958200548329200497797648058132",
                "74279547776169767007864220768912219939",
                "52171511680272919362678723313443993300",
                "105455758108500773276253174093425862294",
                "181115736170042681597507175066963890973",
                "78657651345042942926457638557010877183",
                "293690560351416739264184683499480920232",
                "103066182813276857591705545786743621851",
                "105285627032010136153467434439165456094",
                "322714993430402984279882302918198370962",
                "279041720416248645257355469911982592127",
                "14871520415500724281046801985350927306",
                "92355783807246191054041956874319150515",
                "282871821643701618375989867845394126711",
                "87542233267475529165485756865416150237",
                "340019363630294098585943240214766962834",
                "234878411818220230682237406514752349487",
                "6229657508205075963987304816786716105",
                "156968269301905825806716715069451130763",
                "52506080967307947186854090025445597779",
                "93753331467363231428088046241701989421",
                "288824451627771876048618156841423488979",
                "298042038528187140885989987217825729679",
                "281908468216142974175559256676350454096",
                "284288256701092377538425668937074504176",
                "311384833099183222477708712962958172503",
                "28679993186967375085555953686818586263",
                "338665924157860625129075314937607443065",
                "23565158502067905959884699822909702191",
                "271616735570916837191562283859738956224",
                "318789984054378810500030207023961201279",
                "285616988310225343334924314336461654539",
                "77323728150684638838246866200768857482",
                "259201979735286864209764516216766280797",
                "98254276223732281694694012007264510137",
                "306661532227759933524473994392247995792",
                "151758353174937580765158117138286548253",
                "79317483733420611296885718091726951593",
                "47858775116233202929800336447107419860",
                "312319869060505821575950744100962129470",
                "130063709613315285084799871635301857441",
                "262679403641619796591420750171860977754",
                "43101494218912319907539661046005491225",
                "253143111057264062785160069533993912101",
                "24587451966362285995220910563924992031",
                "320844165519300025370730748133053945467",
                "190405971501242962190976835812522678540",
                "272014495921012313810952572773519268881",
                "109870965525044839935087710625923118985",
                "149165810033699298525841202851206239212",
                "243056676947922451781825591419161807405",
                "291203791102150730910278878802528112965",
                "10967777801103258478248503867088537593",
                "305269879832886109478859257505117332257",
                "312427196028197478671208826879454333155",
                "280929861492641268223944454154018341477",
                "66257037459563157197353951551032879867",
                "328486184721551760645428071210257073776",
                "70658888962100660456990592895331902989",
                "194645159252173549938124314762093379403",
                "24414597748580892693294927175918165743",
                "127150190934181635524540456293853859315",
                "153405814703547506184424070260550152885",
                "227801489655964440583381493705123359744",
                "45356928807081845311200984754315591080",
                "229812307849629078325623183200783979495",
                "306790134306040407506947657539597561727",
                "324535912329811865729725176496210876732",
                "57037359759155726791092325856594247627",
                "20654178942407853903625579626884705134",
                "211630625818317128079803982773664606601",
                "17914823687372998180751393285940213872",
                "218935115156750457372600275269289405950",
                "301629936487953391580226103341893451872",
                "328183111325238334652721074660218454258",
                "191813208504432026277503829391754064351",
                "288802356828285319260097084356930244894",
                "194433257860291675585644240309344338735",
                "97664440071786427374309272999601318673",
                "266178979826409924673640863666794337831",
                "255655534542567316129836707268250434419",
                "128584094537671526681315159127118155446",
                "247653850468432809961930022995906094065",
                "42697052517520724364975354955845463235",
                "320725412642637900797154865669401868420",
                "152914410536943738012667531594062456607",
                "109962643566355669564944999565303166266",
                "119270343731004364303878312567276981214",
                "260568722691485055078711940485391959452",
                "35129862610316975749537491407968001719",
                "186183325130511536850055696110534676993",
                "59452663061351998876555800776653452027",
                "155935372105561363298639219790733868495",
                "35748393331626442179174038024988175527",
                "109827774623331163069722559090266092392",
                "123817675910747236158448800654905955963",
                "88754146965710930484109204828806579855",
                "19811332685220545428189245601740678611",
                "214190756386397393228454482517426713786",
                "1386876719765877573461232683340977753",
                "246979869582301628850618663335474917504",
                "255594468604782217216864942435614451801",
                "262142354667764760748918233185735113637",
                "21820043528270479399665432465896674356",
                "11920549327297721491090497450066911539",
                "130094335671791514316546840531103172521",
                "177517005941931947511960230873386654948",
                "129071048259197625513479945760991126752",
                "202441352828650018113363441924705519431",
                "260021490453051307559683277744852061951",
                "330966670985804191691871860667259895355",
                "134832577175982651347555079691944502201",
                "196894569735028808627101396928715496132",
                "39398836012652916921859680626320652393",
                "339446383430664504814807409468033624754",
                "157065405200182270468149393875314094167",
                "175511327970548533384660151928413910365",
                "210608415800758444280948606187907309894",
                "161687446896452991584413538356710759495",
                "32203355104229398072375906128475319461",
                "101339712139716612965540640212939310120",
                "55392454275427406239948121824620199221",
                "212246083332624475256047135981856653284",
                "126316209826426970049757807333823214881",
                "113542505271400912097313319905949089342",
                "145348631271534794190417261055233198564",
                "91812810551473339681489030223915699330",
                "183766964916000677366536525463714516230",
                "262944209275915875998709780560965440393",
                "329562063790805470365545938243951997265",
                "200374759712315761040494275190859756387",
                "210067036682969881172453751644977808305",
                "234813958883299972211442021604731764388",
                "255146985836570047129452933946790179321",
                "335068602059765417642230701540349981320",
                "111429116245069327738193192867866705308",
                "20324451760663333808964179580912746622",
                "223880390452159771740873861034619022175",
                "141376566490083372137060463581779137515",
                "238501516521088048258360131464200461907",
                "37428463460863109954257746510274275782",
                "163119258033003213167432621951222223170",
                "24766084357778171057810260085793207755",
                "260053469546538992160042235565273071377",
                "170911375345613643409074479162699592507",
                "330053343126371860135871245344287119309",
                "222356490170124832965373939893601723091",
                "254192164455026006076217992196261892993",
                "140142719847579298219625131000847313964",
                "78882324547064008599894592456613878235",
                "72122259974044392200378324905693778821",
                "138240934907843987826929586309975773240",
                "156094932413151200341588559098369589680",
                "106010856012346502712762334451232235773",
                "318916500994068552812878710005463384164",
                "104125153481112139202104792604261296701",
                "186384804870613294242350833276490539367",
                "265964295721226125141823637261997140728",
                "41568608335035073710425407567113975187",
                "195629829133448391599223029951682664731",
                "265364845680185336081514514029591139538",
                "305749144112970948013199633267863932606",
                "247925319784208751794821671238312627740",
                "75405771022757556168603191647960369232",
                "99000223699893360407273477464560059950",
                "299737128615308502303574486359510361107",
                "148937117441381250789413794765951085606",
                "205506643386813737057265818880476970048",
                "134194810168832491204861138624300740150",
                "207482589178634671728460361366420047026",
                "41436698121550732415279570041749315499",
                "42436720750185892150638375103052262123",
                "290970400686745614680221728456956666175",
                "146295717028242816107688379898672423682",
                "111345357503182803401706002474820798000",
                "220860421981172316416446224372767145666",
                "197344017226082569354938740162133585901",
                "229660388257637542114516303095005986948",
                "268719822863079468624355453740892394049",
                "291466541560554875947735619300101679959",
                "161057289250618644451303433742889545551",
                "89074023091915549543826338971415478909",
                "160604466926139390913377214098615634033",
                "216296717291027022187601054240732519699",
                "53575009638378958682979971250973339045",
                "230586742124244064375682282054055598264",
                "221940381205213177965703369056459375785",
                "71119403839906814845500375051070251077",
                "56783343267060749830092991624749023348",
                "132632930187802596266088958045433861337",
                "116386085334280408397347695925614650475",
                "326283484828456258169673444085302872686",
                "133257453655892691705224115459431247380",
                "155946825753681479898631002626523953188",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "306273529433222221767286023984005892615",
                "288766958151174890396816573432539750116",
                "144460014680024064098128597562089884329",
                "238265138449614882917031770642631172788",
                "212474943142325180456832225672504859187",
                "167601101723282702964252311167332407326",
                "197634264863610822184869366834867265372",
                "177829179645364522219264399365849291722",
                "34778487631864919234531691844333676455",
                "70008864998148024797489056969298357670",
                "130877618309552054655085046762880738365",
                "64092706098824465247902332928701310537",
                "179167051002366667906495851360813022482",
                "253123229156174981468895022426963512422",
                "86862968053077996792471444323358780262",
                "62516156071092233047913114640903394937",
                "77474658719946435913471638497383522746",
                "195458058840500149954044656574781929748",
                "21587322573763435817882915826831352267",
                "44358582437923178989968033583865298455",
                "322002867071095034339757313262792768249",
                "283685738356298626082118368358735995156",
                "110293963401158761015264170359783169655",
                "41377975188038156351114768285276270430",
                "154557368633679819092161218177283595268",
                "323817633129753684207411120903111992756",
                "235210578528355456442197930014175848242",
                "289984276971002911872502923721231387442",
                "276942377525740689189139958260980646366",
                "168519407196604968095286926756002292531",
                "84090409525744985937483195218300700679",
                "158568234711063124166074066325981735543",
                "216756880136486961263180959362346955192",
                "174060222761690503454773590420952454335",
                "287909538597929931411422770946448081954",
                "245243949478862613103002208203991519395",
                "158522483984990421082076197248671626963",
                "82330061858667298371752294965196516439",
                "148161032824237214109533324854697774881",
                "16214363166693571385268401805882031074",
                "21799490716209885857303917468340595719",
                "271711503088644257779839577227670431391",
                "267052580192556647491980918344645920706",
                "140825832764169026358022823286770922336",
                "251428451189483527359361079278288885631",
                "42435931099502832840370366725452581597",
                "290955986066598336956392815026471003543",
                "19703457061718847970436333741031126199",
                "88337029895665274132372261710685264680",
                "130095035386851337007390881996573066071",
                "287412914681143841877587306504359420585",
                "244181805418469789213468463555557931937",
                "150624947814562817450797401392947986677",
                "175445922845650582757549749658419699402",
                "262112071263848097626022377997888691571",
                "261783722048211820668395342631478448762",
                "291170704908375528435976235948557476745",
                "15309005639573264914926426145787136354",
                "270816673494096024230405045321347946980",
                "297843623206252352903772258705586445663",
                "177520125647534398583310270022167559858",
                "121921084004373215714529714899550059947",
                "306294295556213652803948382033015354666",
                "301254215325870535060589975877471998861",
                "57888978012345571347799511524569339052",
                "187360283322672047639561449116561272310",
                "220912286193454853654700415893103371901",
                "304054031022443585942533771682041695266",
                "272361086151037913903762092446053240485",
                "61491863897127188681834547248126747996",
                "292460942148964907962171684484368499555",
                "132775218231469050876479128663717250989",
                "24004236572920104455862446185723921134",
                "44874202183248769861000730469148246549",
                "42344492535372258399153932835806295324",
                "180616320238342782342662357972868434827",
                "309006705370762437071494439871204192284",
                "32710153917131377989596100654030028992",
                "150232304279874057533774551131317812380",
                "277831662901601532454409137828181949420",
                "3491413566427875172654024113857871805",
                "71324702336097453240959360259295779922",
                "127866819734642328661656522126149718308",
                "326966883032542556432249567540724833496",
                "89511873926623335263999573100723926690",
                "221183968460982269185785677610738567301",
                "176237006500147131840631360339019503066",
                "27973484188416518338133276629320937560",
                "121278573415771269496184784471433513579",
                "152627140488761556160193987917828024143",
                "161036374187101883269845317343535123181",
                "139607018827447822251719023785482996525",
                "157768929306259800509197523002874192682",
                "143282306645111810799882251715716778458",
                "70115864973298915006471177256848223994",
                "158557703835540091118251049717945787558",
                "169256862644025330393658290117461830742",
                "25373881075407749476480088930403715187",
                "523071826698465475317971091104268911",
                "314010547348996576309842771735673794915",
                "222692384012827046003971744946195344933",
                "338843546713286731317368308499681296682",
                "219179626264277668550992331693975643639",
                "326397148928029599072913115873076494660",
                "93697612640946661334197709508760681380",
                "198000772599703211136092037029554091713",
                "26888337464875654165002301143382696109",
                "223143132264427779626665587828776177418",
                "259864522674635380442334930315051099209",
                "59436873889084752088801075451776375922",
                "331337221643514795902857454273553907895",
                "856732828269506271761806529158204429",
                "293734834302151842686396898023541676278",
                "135319535642592327246526059410648254428",
                "289693962873150282312775780413956641640",
                "163532185301540358938753428185972502496",
                "25233551007722559904140539247148208510",
                "231058563231721662694569560972311998064",
                "271573934646724828094146992641113818975",
                "309577707359511779465084176526020537125",
                "258140464192466805968071215805385743557",
                "279642191176083238432119396082307961834",
                "298103691561135980008313521487900284320",
                "31548923001345455202330187072412758621",
                "100230946958264071091497513940359643641",
                "101005804318428862546680331935446700467",
                "131475888261919329533319706448250527966",
                "234862136512088374015552224789708482724",
                "253961904441439619668010440020265165668",
                "339122626712570919888865807116650583655",
                "9032422548336317031997117498278601899",
                "257276384606439033598066326473475921886",
                "14258887937779151346206965055548425533",
                "195922992482157963874296212771367290773",
                "214203399832703328958242956848182144338",
                "276766117505240377869311396020294215304",
                "194622404770984403536062776420714986952",
                "290148635194138460534459888268906612634",
                "190287105762754826502931092219627298018",
                "249065233828557140884432975908282917396",
                "132203124321272762735553720786676817727",
                "13736088524660236058688545574629135688",
                "270971938814345093452525140154883172098",
                "183820249771928658125806638694925005863",
                "111077152958419210099784199578775524153",
                "27226890846404287587571520169112748543",
                "300038503571949882991797608486133450520",
                "285472373007094436668379689703330035948",
                "69273865203152275700990592896065401105",
                "194318235018529418441563842806774949916",
                "79425679339583790525262704499856838613",
                "221263014389355763272876060899555713015",
                "73298872892076732671707394761065687887",
                "201205770108702794107781939889639640685",
                "273085821459031852447758108662854132382",
                "201654667735599795706615004700575563273",
                "191767889421887697435025042090595378252",
                "33399412346214654400774011735322393875",
                "281724698234710809419660321588195337297",
                "102014430551683464513728875806385245603",
                "67666485688219784692624642907747316921",
                "155335755070888131802030661294064773979",
                "281298730352721709413026933389106551582",
                "285400838698823245032447152032103518465",
                "139878630843010236150399082525238913178",
                "22494306269313635239280551955810589651",
                "32784952864003587966780029896595913257",
                "173050118013403152978411869317412120547",
                "280466951219580611722488891560572666973",
                "201339695879149824620654688838328361036",
                "261862968816575572040740002158556126267",
                "264890239937489057310585551348569042433",
                "204400173455055409154758033259186389653",
                "327491963269209471841526259538876758164",
                "292153529916032927483786696537922075582",
                "188524784899766323303444736400758983686",
                "117711588370501048125235994211046719922",
                "201524174681507191398284246328575619060",
                "80997042802974071845042030735242241587",
                "300362855498632447567322776494968613882",
                "263433337876269461929583879261436151888",
                "16772062066108821793439748994097905701",
                "238578749751519808157164362932468191340",
                "80984159215002713883448841032177254967",
                "51226402509058821088698586787936149446",
                "226905348272335481955390622103879401119",
                "269380174265526318849980198340894395656",
                "320712124397856844609978281463081627590",
                "237192447717617268141778991166831330522",
                "293104504944930979047771286204480383811",
                "84700405504085599069904546357481241056",
                "287429793440073231337806435614126961648",
                "44986879585098297133641390494749278679",
                "193820273817070962449918732558290723612",
                "166155185871420833170713962824870882184",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "121978776069401937566850197627877902156",
                "337853390832035830108456756384471290703",
                "261859142770935135420224072780147403663",
                "280948628457392715784847144165306324947",
                "190066882906170106497227332662125618201",
                "6747551755805501840468661737778033818",
                "107948202556643035090535923202924412575",
                "142293140256703367351597529793827451826",
                "317331420514748421079691381959801429428",
                "229920242717948299949588987139907244520",
                "149852499348727802712969362607876319220",
                "130846193256911854983257938813984767381",
                "237307589694423706982310838819779557171",
                "305727239633290336412212097588099727988",
                "193192216436160008087645575470064185057",
                "58683943656716027898581942064337587779",
                "1327723666724733725632837261351950921",
                "313837942812011481893046961447314346968",
                "85804047829966260516769854613085123189",
                "280213771040872574735175796352493662475",
                "60198944378049991731249332195077205681",
                "86357608859037890897789894356187102015",
                "301492181835124453843557463584070438449",
                "92162648377030439716292756306232028739",
                "79309873097907500864189533784128877332",
                "245476404639912593036241338166250923639",
                "156923803733073068378823463854345732171",
                "143725115794241978225767591581408649570",
                "263413446486534902621546663055815935767",
                "75381490107495433413132041841570776873",
                "205987802237690276485201724419480258503",
                "304740450039607838930804088170111481732",
                "289657360619460561399732807702914608229",
                "136633905803472406575736928403617117216",
                "153774833678475026807353304079434042588",
                "110204912459167060595401321349295376216",
                "175048267134510114856674170215345374678",
                "321856766648291178320143511408477698132",
                "47500036045049373333750515544638976743",
                "16113341711804366911572211601417452430",
                "49776119932508473587283597452353038583",
                "116876758158364080296367603712085985752",
                "183380293638710244688726383791297263536",
                "101811187472006072610517051385514900308",
                "303244329963426009193003811134164633465",
                "302850670165501302204024520402774257363",
                "124310705007620652583640721956843742043",
                "217825697479181334243122680779636363957",
                "309440846459364870320019254098375454476",
                "319358209231901613352608485430065707885",
                "223969823859646281231369708500690751473",
                "173995212534959832470700027074719147798",
                "277984820395200152745504578658802393527",
                "25005758663924286288143907977240415808",
                "204469071445364187047875872044481359804",
                "26097367452800855406102343852217030044",
                "76566956556112932498223632275977994873",
                "183293719701287402248104508387843367141",
                "174688769637634279335637145530982231997",
                "136201345388976662945689018545230466091",
                "168351296916260545769966743690493751729",
                "141023863225872913888974684574571529484",
                "160381480427257023962866131871029293526",
                "150542682817753877238378403127489561695",
                "280008311413405435911488257816030519349",
                "283455328826836825702957813933670278623",
                "39500983642184522944371131514358164487",
                "253062527063027213860315660089288658356",
                "252643347846423964037254386008635528466",
                "18831160401882628403398956975235844013",
                "146506745687780231528040643291063758866",
                "323025144401666988304317595057647515315",
                "244296344365863305274950182450460862679",
                "300896723687962386510116162260486620800",
                "224107679516375654102305136644922333266",
                "238972861758409636728978421372810597248",
                "32396738926204540231367808804069861865",
                "26159772899452630309403132524372163444",
                "127259997507495203145394921212171900116",
                "336977027189347454195769059409967783211",
                "208259926691620596998468391595688591203",
                "3849918354457611313860514302919493881",
                "282405175069550951156979250144777020564",
                "324041546822439188752546431225986920870",
                "85777319213300666929500720795633337298",
                "167313371756515061084696931428520449287",
                "253766373880531723886500740158676141529",
                "114028335249192413452452096324244393797",
                "322651789593103270341679168729854247869",
                "146279239106971721188463500019419520410",
                "45403087746014380939749767017716275719",
                "78689951642005252345301819629358524825",
                "182396673266558740536942212198259073685",
                "261188713713507973883670850082689594260",
                "93131150016944150359972640978728209545",
                "26405904275503442029017863369242628511",
                "154646728204053997174231580052128808230",
                "235831845165787169661856587448681957203",
                "63155455333917931510505963352217619920",
                "72047635916649686191267767099373604223",
                "2776155223853073483498309919901741417",
                "247134258350840831244644183640306667733",
                "42612489791082798816393377187543641142",
                "21903302237188136367306561406987817489",
                "199533585947828673856698719533815919110",
                "19574423222752373989245570065009785649",
                "185928918686658258683892896196619029614",
                "80515253171196784698283901205750656659",
                "179980744173641422755704829341978048531",
                "36677997364466336375430363110914171089",
                "190221768085921296638250684231122114693",
                "245577685978969790190149981287737315552",
                "234386688111573766556257312570411941293",
                "6085186410030097726365770076345264982",
                "33712137954685847883152308517201727633",
                "61866876945509150600141477039333682438",
                "67002271559616962157345836500038809114",
                "210037663090284516400437962829784715779",
                "291248811437813182062570414467112153811",
                "82050633852970670641785335822997479364",
                "168764007650146618717143694645139145090",
                "147485171091054314611621362588204809476",
                "50849620689151848314391183096255040017",
                "238108398270738783204272378705194163521",
                "249220028230325103064938283263524380405",
                "316583906904818994665855967016819198670",
                "126732055602818857109614689575218047614",
                "204632019693018363493552788615630045266",
                "98189029552946617664126411620003979953",
                "202921516916949858736189504715733471001",
                "165082388724715471103839664986356046339",
                "302914446710638288731607571567932611412",
                "142332412843741046955646662159412702259",
                "11331583237414348243864400777477434718",
                "73086928347544897421968481564556045438",
                "295514704565740204975192553223598958198",
                "202952574925148482501877237556137552398",
                "318184603021509850445915683965009547887",
                "163079610180315896116507084420978025572",
                "69880877663973903435825667147174734681",
                "291710880160506982319604654616206830904",
                "235681616014702017620261670775325363234",
                "27343324438977095714739157749178451190",
                "331943234719880771799831729223911641845",
                "31368917311002952608752646550251313488",
                "41370205883300021301544713084976769945",
                "291283763713888057066478327137199683493",
                "66118547078108967829582153805691693929",
                "165987565481803314873613980988208959373",
                "114800646083006560056986231944699595009",
                "37739810672060638475899430760576922965",
                "159483015004769439930947442601522383221",
                "93293909810169771979058694153676993901",
                "312164072559967461971745991378813520946",
                "329261892947529828347190853929481552837",
                "86911273491528984836284032903443503937",
                "299907044796451450318711410531179878551",
                "330439488039802754861677529761267563941",
                "186830974214870300932886235745791076785",
                "202452996243476327009310153062375956765",
                "287245677203758473398668853221409753235",
                "50229627008958130854414711753702519131",
                "334258868922047075446303082135794262646",
                "273257845273657884413951816467707452607",
                "164373691634215766651140588808605919821",
                "148572537951555201618310649456536609408",
                "140911170635841092819810367215661375584",
                "299030966043518837415651400300706609516",
                "162485725459358053193507769872873231821"
            ]
        },
        "id": "CVE-2025-52484-a9b63389",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "238190377488998669491528710199725768606",
            "length": 44125.0
        },
        "id": "CVE-2025-52484-aba491ef",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "poly_fp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "292625854986191866384021110204299364602",
            "length": 497.0
        },
        "id": "CVE-2025-52484-acb9f304",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_SplitWord"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "137255505206531340152740067131667349548",
            "length": 48385.0
        },
        "id": "CVE-2025-52484-acfc7e60",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_14"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "275463645498455086640187061657159838172",
                "110335982443680348162383370368376734664",
                "282008475263609908832230864360968920858",
                "184644565254566713194939431491796121715",
                "117877543870288244961687549137918354029",
                "274390501619003495307615360084531778322",
                "280207332485761499316295956909610253631",
                "225854147885282023738247462948982196115",
                "223249473034073967257477943076388055378",
                "151547386522712390614014092871655573870",
                "39447977021152070113857647154302586056",
                "298430944694546335411083955700754462068",
                "29782938712979825778950837410788710416",
                "62320457283900699843852738423213536632",
                "115663423376300190253926473770060493667",
                "221056717436380866684842329474123546207",
                "195208080165704337173420206148882801400",
                "328115731425591285196394224900979742440",
                "245643152897780805134527503220898409683",
                "9627445047279614892587166682517737763",
                "263766381401279162376946420523094505465",
                "150654789254236810158462165209305138345",
                "250305694444710403947955613282413504987",
                "49433099030875061977970840081032233984",
                "258772186724777317220583828287549226446",
                "116943154407788356356815863633485805798",
                "116182643410119359441202352953683145907",
                "90856562463420025790552527050802811563",
                "191840125558375048930183867590085277461",
                "179674314198439189705356363447326683692",
                "76619300289967025129897415288128782152",
                "197500389425323621297055970729022628641",
                "247797780693427063451218647587710353073",
                "238877793281363322276276109022830018435",
                "254080036027029769399814887516998593266",
                "62116331896652565689934568096220206636",
                "203645375905240234428009977788423785310",
                "103899960230582098268827809915910209820",
                "62064156119446268191712335260438666310",
                "189431070474619437264219436189357058652",
                "58462252991573742410654437555460959508",
                "20614399981708748852381657704600077300",
                "186054149016425767834553855637487895809",
                "125626921883591111212501312808101617324",
                "209023960600570981253299312738327390084",
                "285194782578800207516705397056633688947",
                "177461203711265174964719966068961638096",
                "75446976008942703695584576311610064951",
                "58609408253034924215256218937868133571",
                "326981077583929360782584453320562593063",
                "315550266751623944818614481705926639562",
                "1274943492848123626734528342932321392",
                "122401004700561602496791521002420942329",
                "80096004865272286225174279379971034663",
                "215643206549971276905787193124958082044",
                "199618392500644385676346429099550227759",
                "92867243853826166870704674211070104272",
                "127572830790169231193815564324178249584",
                "289402365560534016421817721553332925714",
                "52315669048192624001772206866311449829",
                "69547355859538994820444279436637158707",
                "93868542703940542371446151424828527544",
                "73094821339088313634178257224745466577",
                "83523876560878526656412124133008063749",
                "136153687723168095400880120569767995661",
                "103849662087083298786115428143146490003",
                "81877404822913540245900142588266825515",
                "286053727423694882075993730007633026478",
                "278711953348261417753891846451047843911",
                "187100409791582683640004054729815662292",
                "126357225226914389296735987341372410014",
                "70302335560416826148899815961064096265",
                "325544761540356783433909912698675554946",
                "50986025814556964372832309672312950865",
                "4852870096057309156048369726232007398",
                "64798309479480787370379535805339348847",
                "11128676411841272678873049290676392546",
                "194362754873585880912207972590332267627",
                "81539367824494612123020042870767524469",
                "279334065284026527120505272951899001487",
                "334627385547890426270858152439901978853",
                "87376126133403954271430907443811589271",
                "155044693903714299656775645834715602851",
                "126274949233652309461277252664614428816",
                "257179439226317009789116902061383163591",
                "91040590277001484018422104842593933144",
                "163291780086748359918402367440508219848",
                "66666920690013767210307289837971531816",
                "246092407008738048087563619040105991156",
                "251862325303633486747920971633933862620",
                "73513692658252314665853592061899232466",
                "97387035561244181482882242727949383440",
                "29877960165935017452623460415854528397",
                "217667115087726530631408522450664281793",
                "60361866139257538675916587653638872028",
                "150939550094247110809891703974449026274",
                "43026550203013205988126585061695755863",
                "228452694007901619703481946842260308860",
                "141761178055536759125103815857066481643",
                "22841962781351100697051077341693546396",
                "303522878267390679602700809039326295471",
                "308436974357572278221560763996161206124",
                "121725860338501151391129539637491629878",
                "60652328598921776908341259475522995363",
                "257182359606858607850872231496759471813",
                "276473950247664579991383166931660433734",
                "302225386246315030033628052512381004409",
                "184745386191793210583292003816761783290",
                "178973436312606459140609596289964298459",
                "16768590623312806355154305068990381502",
                "139046694633431112100359662879511730166",
                "213082302925665432726378329772946572556",
                "243678893619428751728173684250221620530",
                "324399798263452256321822561049968199087",
                "150469937907210149312834163358917334875",
                "160141385051762487401341215454068502057",
                "126059242254002229911215342271130691904",
                "84723038139119022234668018469032625341",
                "310288125082160342347065557760647953214",
                "240681812371157682730959310402308354994",
                "241609901467372545627298396366797494683",
                "197233856266149773062952734160103259061",
                "52652265013840841796392482780558072727",
                "12514377138506962665480518773146589312",
                "258757865131232517839705081784590490389",
                "214476112813917220139163505315887650124",
                "135408304950764728277630521047524927041",
                "277903418368979229482959202125778899332",
                "319032009207529235289357613739517135502",
                "304367628442560694695952622443860534066",
                "294262082745300835621598839357376915595",
                "133275561056069786552406306568487628365",
                "82739015857388679151336294380613362853",
                "322666414863851997975081223236596855995",
                "183838572815404965815192976792234212606",
                "125680887188370459035333719549108570087",
                "198225110844998179870847087097525938692",
                "254719578640670168587495141752947396356",
                "97140190687280828033138029942058417619",
                "56307784494097928641488165049922921675",
                "162071975288236937945839756892844395303",
                "202144666662406330357268534390063024714",
                "168756940920893620692950636501385407339",
                "238137968633643786897446013775601291961",
                "243733805898868926699770755741478738494",
                "105551258430922245129432059341006828149",
                "220779293181816805786695552708319390055",
                "170647791938928472966622126559802376737",
                "183406226410227947068953304738195016850",
                "224127364534794426330335367109159950763",
                "71993672842465407532060358987626614506",
                "145534433665346968577528592351725971876",
                "194301543023896148970056993701187839949",
                "149959651504192485750354034280053988852",
                "326355967801784644542015917068832055006",
                "47157313163243956016435502491120177665",
                "215124281218451415543415351308567642458",
                "320166587726015452972439519281987236141",
                "336171124299403435351903242500353334041",
                "142693329033360410391900179060929276035",
                "297225802770414928919920610409528849200",
                "175067083982868745394631219329004981352",
                "278417703514265954786042751847447941672",
                "143438404716460889940390587504812514184",
                "241454539740565117691115577193565959396",
                "196754067053610969888079627444843045982",
                "13827055129834924162243388967573568425",
                "185206351695995496337259953389787532358",
                "161222076691509120555493254213453984750",
                "274673197066945322895789173768472203895",
                "274664009743944775111251798747671420050",
                "41439452082860185885599266270800088462",
                "134508936786282733159667737634324386086",
                "9675842810540596324095200567538304736",
                "19860278914651859883664583740231872177",
                "188129670482801904995468366015909598590",
                "63650201861194307260347809884080503594",
                "215527759016184812792629036297342896666",
                "57270709773659873992724030743562724568",
                "55935530417573225727179090230498731524",
                "53231602312463941442539385729245103309",
                "182858267170128377745432080845517030481",
                "188574257918024468257612526632748694534",
                "289990698780196853810798368286380619196",
                "217617307354769834987468016813567617153",
                "62302412128110298462317000934399350041",
                "46892184928527928092392321328595773989",
                "268257105064162556597563988170393483047",
                "313331645664784459708568049069695130830",
                "331832903024700313557318279565465049821",
                "18541912048169741192887436876522647010",
                "313115888608688547411672571312954457356",
                "10628955667818354579920769693386364428",
                "135010612670900688951405152748137738746",
                "337181899734807572443416221292212881313",
                "192014546137308440157839546024701071892",
                "27435771263440269399798364657064870520",
                "225191601167585685340331397208822135919",
                "101389205196025134286074680701615920061",
                "175769028760913445309267136343926380643",
                "267607297173783164299729162482907444474",
                "286860457564659392616401515206512603282",
                "205760550922296252012609766212578459613",
                "157873733451434651568452843872762757939",
                "124166500990830462324286482859300046361",
                "2991144571243503757501687511228766678",
                "320718979678003754476366202749973050469",
                "122459307174855320598893879712608388989",
                "147381902528640662205577075911319080633",
                "329257904746353076812495035011843127818",
                "37390706339108481308197679191880570515",
                "62565718313980888613022175566128816528",
                "41157470368292180122162361006698530596",
                "280094401538947252372723914207426563940",
                "112745987962424474821671623610385983050",
                "109563622715600157522946811076825368737",
                "294382301645696952806614542872290470220",
                "146688170514659918103934874197098498838",
                "205750177561594706265916567148623254512",
                "304537072230559225588831128927996256949",
                "140486924211805510203619422663434106234",
                "101479619018456330833901168790778476187",
                "50048164400899483437125402211097406930",
                "168441914559733936754987655679219212291",
                "220650795787454604111969665597015871249",
                "248919102415050765079828155983933897883",
                "235283966026577342420509886894300432908",
                "100045983642830292374915044790886262723",
                "110164012470242379765206807669412496895",
                "104543446287089668116010259432880331251",
                "3579726751752369249529456250983572077",
                "34948575110401232422331914667338834348",
                "241330277428009915107359421753748642107",
                "108742471764159736745511479084097118207",
                "22241382844417513889219160855108231003",
                "254363992632598103598545335352024511907",
                "339945974724266366173041798073523699242",
                "13180750296707021608367511354331034642",
                "76897359269842979641054388465735559193",
                "134189284123244035055805588292949107786",
                "271927703659640018838778920845671769806",
                "126473923657412469589814018994597561389",
                "322069803656604139375918245955942688098",
                "82479862529048044589181526767239654220",
                "111980347202463256880901024893635022416",
                "302996730312031232526150955467129843401",
                "1204487096895568433150478908922914262",
                "200747735476771877635052906757741050038",
                "248043160517373431385272141556832814233",
                "262504661485214980299551218000425491441",
                "38435373152880942302735503063108634628",
                "339310371873852617224712763451417838285",
                "265389686236392684583077192532450728353",
                "317291265922347437662482572616079923274",
                "134602295081926125451561662096511121589",
                "106400037721891759573361932940911518647",
                "231611827018159991490824284830091093361",
                "327953749188369075766760396294832318519",
                "10089370699422094250767251403368843425",
                "69907458678635143501328066319436848928",
                "140025771177943771414284865825950967052",
                "30088365405923681407052530655724339626",
                "268407921431020147687814151129944757839",
                "241326217168625165887618322945717781026",
                "121955724558448928738835851002953142685",
                "129184801958204800883859025890824045272",
                "278197459591041730243281937033591935366",
                "26790462777316608521649830336449952253",
                "251112241496947689878259979744296319766",
                "286823570673376285385299642202778593183",
                "263566066015257170835575143344459619488",
                "122277419472603402814986052436111147246",
                "185509411858697161396875576329236965128",
                "219250542363808898773973364711337377210",
                "71183346063149167676499589539927006451",
                "172856281355428425374695686864234735004",
                "148803444489289024236747157272686929848",
                "169962121209312967548230922298267518412",
                "328953935904720672474333891083256345808",
                "94145830338573680611643348659680878238",
                "117465389610136967982171695609580914570",
                "127448957692836465832599234547724238748",
                "111633629177752616760413049994870258122",
                "85305532242441353969576746096602081799",
                "120019070914594204954050417742359348151",
                "149799480118136322465592428516961715342",
                "36238871569876733500438748382625548862",
                "119062639701224802483323761775878977843",
                "52194381512259304366102954024444440901",
                "197456210058726938018200373789312160701",
                "320626919677245905321391563570916754418",
                "13570428932681235063789422250905562026",
                "91250177623123336412632399614892601439",
                "207225661764681582862064165587876477872",
                "37248139143909453071667050270728813322",
                "253826957641357103056031485773885357212",
                "253759343506385084773523563653807548400",
                "180013926674275984639685421995764122240",
                "225325903455747065146139261517490484018",
                "115455901445501206074035448976776106426",
                "72331165920444700536449742013361077337",
                "320597113800260972915811100370900508845",
                "74297635401867920475400926215425706705",
                "195984335379231745779394446006272772630",
                "247836658491810098253500197980174839940",
                "267354246132196157254189599155617512647",
                "133013373320410497062138567389075801168",
                "239800248773035166766558926526719390804",
                "175002660420582093656005336144370726244",
                "60048453855257184426120317145569305669",
                "193419870946637525063890546321324233719",
                "104220113573164132352107595081946031035",
                "331553503544755199845552782474620102982",
                "113662248094369052478083334301750629094",
                "123502978025487539365467338984141453721",
                "43917197144519186103052658663696140175",
                "202097311787174671132103749203346389013",
                "285876316429722982159017812501569508573",
                "72526895722400616614420269975896195004",
                "267405220859862227962207654988526276994",
                "128153601421469145214180106899820731044",
                "291435463713674896098547079841867354184",
                "121779890201975369772292700855842031369",
                "154482721054415588238412925084013059862",
                "4672987730063787898174671184016670892",
                "76097598522814833780069997354754066636",
                "258472903268265247878104450258712216218",
                "289697891170015509057956326994910119383",
                "285898110868577524055574642847784368297",
                "97148707067828846726442499621890291022",
                "180031000380858347092833465770937931884",
                "172236863658865993927482123848939230860",
                "29130506938941050392694305647422025931",
                "259963429837594141656922939848088135647",
                "313434865317218571708171991945212285576",
                "187482368356667588242493760398046785149",
                "330049006605327671943294123427555112012",
                "338455713565578238643512994014039216246",
                "58871060491049411403728610831913412123",
                "137194769042763656735025361050728068670",
                "254411520150583034257020572130304665859",
                "175652834986512727521088524285994739293",
                "189021383313741005264215091483773570441",
                "45717744569366331026397888843859064400",
                "319874258422840345412161668537480170694",
                "80769517545757793872752179985549894355",
                "225179115456738365929865193168453916502",
                "302232145541884842591906766438988893682",
                "91664221572604793919123891516726216310",
                "92289900275757758334359344410121953271",
                "273134005630576350510830870373111212532",
                "160893612618419854385710774890788147206",
                "37274406617567916266583605636597266247",
                "236913705839377979851963005553770378305",
                "194086441612880806805294281353655978983",
                "190496190192378394306239379724597469700",
                "205257316390262253486263715588786841510",
                "95439211782751239770772295675063347229",
                "57604203475940667933387612256459767788",
                "136091522785277514522074499253083571609",
                "319778137869809462995234831754257289661",
                "215527785757017593200321542969475643833",
                "141275099958774759966175789380094678525",
                "181748477739905026515710830098303110206",
                "6181250687333983303459717091382730859",
                "200631081261646820405905729475422794828",
                "167443456287873682429709528335392675196",
                "61970956017127820905546088011391615177",
                "180297823091849916460946403861232979472",
                "245598785031510469703674983062244124472",
                "91522729476539929015800800791092189384",
                "210551179609464836245355291673309714175",
                "231275567458860572642038167476880327227",
                "30006421905751382224914391150977923436",
                "147353213761092339588021698464626154730",
                "85622856990421443292016978524771725593",
                "117348692031979222348095814495096328238",
                "155035223927183354998409921152583023842",
                "240267701267587518596715662538644464839",
                "252787705140789071465000006727684437415",
                "62879876265495728260635889762603047051",
                "105209985677094964553719724255572948496",
                "84998995300959026107318876945820927886",
                "113366208475862723691052521213221412366",
                "238524855017416741923672443621890931871",
                "122902534990607397241058990314326937014",
                "103656925418465944147823328372638728377",
                "161862308850051582678546237650913969974",
                "264691352582761468830026878493018979555",
                "113243965716484545268731608474013725074",
                "271779254927910259385810535885020671759",
                "192198068532070976500624660538485721376",
                "101490555253759183994219679792096135946",
                "64418967944965146014113643788519136871",
                "144637826001182955877547099385416217441",
                "286359218614904731401472338370776190177",
                "292107315487492180159955211848503644348",
                "175661935954081602153507208940827798427",
                "32298009219009706412923719279421366474",
                "55677222642147228870568812106970720743",
                "452734096633386513488819697810217800",
                "61952397401740997869218709539042291849",
                "213075540831345397217493576713891624082",
                "325590728772626555794528802133956680467",
                "41650170375373089349179386727159532513",
                "201345449472339493749971693855644993236",
                "243124657332421955849012188928698579637",
                "167726817458599763435308043425148811534",
                "282484073264619457438966390897758314310",
                "254664150009547124907843772048236864682",
                "120196161841645405176306404227661117177",
                "167577096754002713924004257551413446237",
                "84358627103586401883903336284178932036",
                "315046070946621087639459447100475866207",
                "126475683442995269734241902573802653702",
                "296770515847242258699539081357719377661",
                "7522547715894801038216820911713453472",
                "50991792885635187562097212540188859921",
                "224866396201090349391113328067083382700",
                "36713851672807079554749345367414113831",
                "169646389302006354690745124252261532601",
                "51415996534201634653445859209660114165",
                "207520525645457842683820735773245074070",
                "4869731922036799487850747194372711863",
                "42837268907617398559551472045810893864",
                "249601351044038924700169285427409380004",
                "131268959263869971725194946397016184381",
                "117382540187947357878329780364917249566",
                "62964157436664304943892573762345291283",
                "298908407201581525617579848203504717035",
                "120782468246569872711181072663312463715",
                "59077233514861676533098092065975143390",
                "226562948290643539731521902952668089716",
                "297452584686168930882419151083183662262",
                "33694009511146185072025720234917834149",
                "254234555694703255910130873313872864153",
                "185409165103318309598262740666067917964",
                "218266624214187699888692018301815564628",
                "246263405659669629160791814304445040341",
                "84917759867599558372467653434474161975",
                "54846246178320699962551978247208338397",
                "114842631577809151097237387995672702062",
                "216919510655363034267024275418481318940",
                "55528949244376356013038998229770331216",
                "121147403878931795662007469345772535698",
                "32387681539227115436736489223164834696",
                "278286528908066178418776874956649919990",
                "33763811131901955142625777597297855667",
                "137682234390021306014746439450541859165",
                "103123444756590881573841019231391879276",
                "300789762525124906007436030692801600452",
                "115485143147493373345620335337011926985",
                "257382278379529781226240071457912267879",
                "70132409635139085013649687582360757090",
                "280550415717022629371411460315734332121",
                "93849236758813086554340132761995440566",
                "120303714037493429880253174454955137327",
                "322433034789118651481930944162789241061",
                "92830291392362281690453779898316163524",
                "129321780220971205191400858552392010304",
                "75823784666774081463423123147644666292",
                "109994849609313705585260484696633272557",
                "263779936509600817120998341307608103575",
                "178560975812159827351869502004928773386",
                "6693340472072237764355391094592750774",
                "157592901088319948168812569648939154448",
                "180426603973527376035873461476561534014",
                "314770925571971843148412657246986669542",
                "304268281713591956785935572241264724657",
                "339469899497607842479602555201775134313",
                "184715549878704598099065100941329441559",
                "67763324004463466567035118494145763541",
                "53396747709457492290095612962715431139",
                "209217202222827380635145929400743275375",
                "126365742716251863211327018254192044526",
                "222043209024586078468948508162224997697",
                "332416988521873543555245024256047111605",
                "330504041046553696267450326227166349105",
                "298022477169393995299050261791673905175",
                "137420381123066788357520759189157567180",
                "128751553284407643398366947810641226429",
                "300518111563186636456236435353916025561",
                "56373006673697142640441110506026024773",
                "60922403810283799403842368564437215382",
                "32313668382917683844419207731631677888",
                "199565434526296864617804156139929271112",
                "48027293847239898443903897135216026302",
                "97220025443572410239953798037807243143",
                "34255143234466679338422731583899574171",
                "12849385985648404313050736055948306273",
                "248145479672261023027892372980686636750",
                "15037463724036847812645606402924048665",
                "74680274958208745997354504043755926575",
                "87356138455959354424117846303664783787",
                "256229177279208992521731819914093658306",
                "70913829687161820074416511270642524143",
                "37777502887506741669410210942504456077",
                "317214259169326069812617044566808263570",
                "94521579966032906192714925133545223760",
                "274826436593104529905935714735896648317",
                "201470292270390056228150749886094064408",
                "66643789878977498036775565735494619099",
                "180339130235633016123223024718659947684",
                "139469452583471572608497821143235814150",
                "163426887664683436458175142765410819134",
                "112628499446577050565540400851327542181",
                "28577501912610395245832787891251938837",
                "108999930164665835549309655425602070847",
                "295432007279363281943255276950830178657",
                "176020176529421414011791212939883522307",
                "270426081480288875992482977401842675871",
                "42723027525861445910179522391820008323",
                "167038630985354289777360939566057819973",
                "216180244667331318471515916026641280102",
                "306973776182819710034806269646784910370",
                "236022370435151845104187007997291197437",
                "265522224630896589230459324055916846577",
                "193515274604837110247430508437501227051",
                "178833739637774333970710708056615766626",
                "198182714994369440966472047890117652420",
                "249101771289364177609559934485145735083",
                "72490664055975469808901391251355981289",
                "51927509989507541197479863456091080336",
                "199731809501260180619931401645575859171",
                "98135574978395845088975117864186520596",
                "86996585757109944619942402517423259786",
                "97381717821959200318649725623629960952",
                "69186120919703135817755349894237357840",
                "247840098412398044237249611875986958060",
                "106961647121560601406493459968223753430",
                "83773964171020506549045271021760344437",
                "44287852129826748827925485395636154420",
                "263445448456824320923456068738310415761",
                "76171262582131111947269158584058707934",
                "50719587111539308121015822230854529351",
                "84287668869837547850117248592648782082",
                "304916601145977463728273856452599397913",
                "143440564857416961183688310511828884035",
                "29725130910859940548999449149826196888",
                "213239410334438658059319292967377701129",
                "254042021610187577426426139449536351293",
                "293128032706597661860178378196896303911",
                "103202332796445915582542290624699963577",
                "13359206539126738024709360053756979127",
                "234889109285039386330150020428225667561",
                "318672428600735416069148763749622015359",
                "169005497445613365915561922703642656860",
                "272966189753376108311644902351615531153",
                "236797854441364917125593663624654860784",
                "77058601277542238917257940907049351804",
                "163155293901150832147295585918538470546",
                "99872510773857967432845290410397622374",
                "101116155202626321205340742456587252436",
                "63346026206041872980211541058890905711",
                "81022967644408430436583261140054571597",
                "97300708307688161408737145212269635708",
                "263900522501830208428009814307722662484",
                "267656558632044989883069083875023944455",
                "102093905767420284798573158232302188539",
                "161706288212760946332253678086073020045",
                "188891115598977253943341943474337322004",
                "106847236958969652438991627207764500667",
                "209750127635435055774291097323914167518",
                "186518221051753554561682295329183447864",
                "11179667025593109646987604983801843887",
                "288803780297668116312708731058611124421",
                "218457201119687792280746751251864011825",
                "161304233573087022353755520062885409141",
                "243295564281213399331286476792328029248",
                "313887301045604203311167845575844780449",
                "281565927898845272194632384924280311472",
                "135992372205786782522318862299819143034",
                "188966432585533734808008215223758122143",
                "6261285360796304195320700434793538954",
                "16631019863519552770664262754278112495",
                "140887976200791968236308561493787296527",
                "244403519539588743970487728938750284260",
                "153660834130096356367537873103137886128",
                "174444686998940000554699737374990404146",
                "228075408321887193089279578859130059101",
                "309673058402017540958323612955200818655",
                "281064865266421062727220591849635307939",
                "222984569908679322792729081252759993470",
                "46157630711393419584735980033639698787",
                "274162503551600300867668442771929542682",
                "210143090986728601369828828018135959323",
                "158339028569157556012781921932291062838",
                "53470019326760967591008815227574597355",
                "247068059383663112015504764499466815941",
                "332157426894449704257857858833635455156",
                "68492735095272839814904839810855707821",
                "241373956873344156377549284676514967740",
                "8990771201225458345895867724756441385",
                "38841574607775763682376189241043814523",
                "207979305236831688829446708054479884331",
                "293129268650151503496504844518149843370",
                "274283893273931437683442016163072848994",
                "19747878361258795340238727686438352952",
                "207477485217560959357169359224724680180",
                "106350169499262682065250922119116614156",
                "45940105053178988832626102092042481249",
                "160699981649979225216313883289017855548",
                "201665705734429506627796824093313187331",
                "67803126665309059706782524364524578262",
                "245242684249174244750304995425221895716",
                "216691047189567039055881481546574487224",
                "338345018060730608551141849240842798178",
                "268157961502231455439189041484998233989",
                "188693041596658776859657938825799578929",
                "24675643030862676366333654031148428519",
                "58212371257516365647179458369115531794",
                "296544863748156411829267974513380867580",
                "230100300311347297813230424618198615379",
                "211712785052615354410832683650901056878",
                "102460496905211590318282904390025392800",
                "82153962312212270001529592441499579283",
                "120536085314406930933799354822437024273",
                "231607102278737667633223096607406917373",
                "78594608581905009881973162156172505658",
                "163746811972814340563055802868179267695",
                "139932925990404352201021713486140444942",
                "251127446722805516661284880876082203944",
                "318912718828173280794869586867827108759",
                "139112810561815659470561877464854083573",
                "194147963039749431421161969379864291718",
                "116769302883152214264910895780550623490",
                "138408800704134283007392210885701091061",
                "69392659848131747695408950304138310927",
                "243724905101818586749417295880289891130",
                "225380217230422999945130926578003824981",
                "285936233574583572361775267458026253296",
                "192510575960682544948602601716691192977",
                "180185491217148486169473694015019212323",
                "262408072613263579148050962501126680504",
                "18052044214633587048827288210874172569",
                "60679039775093340121370935849922773343",
                "171638194220097373823812638203138426960",
                "96762363556951607043963170683718340949",
                "123234829403207246229681798360036205923",
                "7848180496696929886221538019277888358",
                "122516510067940170281088418535737653883",
                "148971565357463962680528443804597203120",
                "278705987737603226216603184720143137530",
                "167089700123624586885154842790542690306",
                "3453066494060821267317827056386658455",
                "105616739212628395791526439330051881262",
                "336499075187951574670140004176033343896",
                "122790102669705600139014758511100244119",
                "149406369078432743352814897260624762796",
                "173059183688409165201359934665260318742",
                "151975268751365415575550765377187672452",
                "17084456201855313992398783784755582260",
                "327640974193595902040908855873496684481",
                "61402082624759256603580424561390124582",
                "213010400089024841918574940245864838917",
                "17872183073685300301778897990593983509",
                "23716256681806899941641478275282445211",
                "142093993159053823955372208550548271651",
                "288783140132765270226637150804376171896",
                "47435830046435682196616588792575219674",
                "331554819084483200521964917783079677485",
                "76539511203282037747380276101073729067",
                "199910461779288233696124078600030700397",
                "195753763072614187622161059118277882721",
                "261672172280683420772489929981655715897",
                "119052142960986579454699554632888436234",
                "201106541609266806210524032702375509714",
                "74331598730084252843494463012487344861",
                "20689789415420246379939628571266122127",
                "88450975437742201159574298571289397464",
                "80968583390943630453212727962384806700",
                "168873858330526844973712386005469253955",
                "5129305357336370966228868839293776395",
                "9323452901110950130028172827030147116",
                "69860297792461305408183459405456268524",
                "281067779369123724970191607027549290149",
                "74233843080073230808983253446293900798",
                "176617193840447663306491325025022106524",
                "136184385654747815766809967408103179353",
                "91831183996635526149755139847804538836",
                "91666150404360595213487625183413280441",
                "256457141641772037241330149816914656932",
                "241442462673292501233677387114166959409",
                "329083406033359051786417543513143378240",
                "176397079063083837393173434807603560000",
                "181113474187763248477656902687763322398",
                "317684617710839655620191715619980835771",
                "233568428925020099501829770594837576191",
                "103460596525990323494441665227870511164",
                "229466310695991930878955771443727194970",
                "133087917038202504831635116962279701074",
                "46927864988571663379012998601889689077",
                "184694938974338033693504708205220479005",
                "102183092405061666572083597781580229941",
                "103963350877112626923007441783946428533",
                "57752470883674637342012048521887925316",
                "2729817551315572504456894500668908364",
                "255646869931179120144184148019103448947",
                "131748574413035325232243701753448451508",
                "204276202353103379355369303749244927681",
                "209585439777189331495053763133967249024",
                "78070171678854038629440254100921119806",
                "56109277539008486552158370422973583093",
                "71888643085581804446377069742160239627",
                "61885063175054886932240675355109951410",
                "322573781309141892333423382559606081381",
                "108539376354231898851246556126219782691",
                "186907433074732861087720218555722218949",
                "103751048754349904843350870796053675257",
                "92972459428890165639165926450319861115",
                "157900522532667437207481011310185460025",
                "266472305884916639575630203020949850185",
                "293154263803745994279524506991568757384",
                "220123517120656037542450025387993962336",
                "300948738010291805298727864723186162011",
                "92653634982843583363795097861801506517",
                "193994097260736827498798107386668950895",
                "80510208396628560242653431100012402045",
                "22004370397577435413593588750579630491",
                "116951145302112666763516079033878420861",
                "113416444883610444433740392781050346610",
                "215741035312699401994738875027721250661",
                "95603341672586537631902567909186394669",
                "53359575898601481280751608905522880410",
                "324634569996654164455650139632577236173",
                "258157615473185240306106424858626923076",
                "270240607738296995559561599324394948902",
                "148571451995396168755594128704960167507",
                "235074123676977989873361501944166025535",
                "248668721559065856224592741902461295195",
                "328197315220936575511022686398824401371",
                "292502141430372319696943613522948824045",
                "77232131806874970128662834125341733680",
                "187935148120555364402863497909237519837",
                "242248224861056313635862139099231971657",
                "315296402363131291733306867566519176726",
                "92041038358077958770394941021580003372",
                "107809073506602420498725454824527289238",
                "150083391972731715306932329857835791494",
                "105989018718521734028790700847792162464",
                "152148890504287308872414102392198759964",
                "240483785366426248623568108458929833393",
                "67128129106597291813408397482483906252",
                "283760288483519351903282099555694401836",
                "26130655463325815219753751106771369567",
                "96467097364267137994336459960819342883",
                "87702417198953727504656102578807120488",
                "121415799924539007848838896174825062091",
                "190632167564949215943045384809015989127",
                "261504499624614290301179660881976116620",
                "209761043976465317769975404995581441839",
                "78303228234894728854033259463113122297",
                "255514263934910225657166412958708367814",
                "298796240344223104644847241389484339780",
                "107430452935731841442174569305358403331",
                "41589886930758413957822885848726161503",
                "222862932655628749861928809582529324545",
                "248936537816478524986702436950434159508",
                "282175077410156849365775824578974002050",
                "107371728211264894866242873566631262534",
                "91929520216273715598097156210368156299",
                "102852314494402070845672167948190145733",
                "229047901535519742371875967080418684678",
                "102251137644263990974655508427198626355",
                "323450733708382667710472936069619521317",
                "50049539958343816989944152994642600627",
                "230571343801185353045969225021663196217",
                "229462705372639722526243207539365967446",
                "248923730680812152251626378714582533894",
                "62587407379093537911282725632843323031",
                "112575968038298854942913680239226614374",
                "57762488300218865181335036478374843845",
                "323692760915908272703892620661025143403",
                "293427629883017951067917540032921862097",
                "26253959903924594474982653178285673896",
                "282400080234390466006204564245988372475",
                "268597559987544767942830627324954870470",
                "179688630475507731246935972819857052671",
                "19040170224395334679051705684819762648",
                "187312080912448206498741239127754744049",
                "154769231291229286736987858861603796894",
                "131112882208797738645078319700925762365",
                "42283206307368642124731850464765682053",
                "227165686510149064667714753784417218663",
                "310462185452850979489206376841733538908",
                "149216884075930912509743420085807470823",
                "16857247474382541943790117745304593533",
                "109251366964988195779542271739406960059",
                "159948293018911747685211884089059222259",
                "57514249943210759108382604196931301598",
                "41394373672446855423192904078927018679",
                "145382457663047504920658639530404393818",
                "187621870068185215924355248023189488042",
                "86770387075893893608174969685675103189",
                "35506406191073776178173867663601966407",
                "139775186732630787759257547168995293346",
                "291433516774765234791854345383392493326",
                "221732987628581283751331794880834704458",
                "149483095377690037433471069329301907951",
                "19693553397120555392667796296418087490",
                "214559342537605315337826774785778594409",
                "114529525444723335362741928361995139265",
                "159387823732153391921280337406308208862",
                "177616139949459428133059609815574831247",
                "35736172456338463315015219029829083657",
                "68545505133792474005043421703176967307",
                "105564848691929870846875685698652488507",
                "125007318355721499255457565955100544474",
                "254798162368874202336340181353878171269",
                "178459813674747315962111983825797162358",
                "236929095343226590735943486301369956173",
                "85931846475707481928346614618500819975",
                "176000578249018968524538965448895514591",
                "121126106641425965768773438532718714150",
                "275293028363060208289983574609048336927",
                "241820503095811899778577970827604121741",
                "273610558315830335792345883912212742928",
                "4630907067411781881454279594366035517",
                "20275259072279703211318925029209358910",
                "195546502620953961878164847280741287142",
                "184979491996446952580503197070753319350",
                "6942249258587200008485359521896790147",
                "276676623440417352725461681418742276449",
                "185011140537667125439512949203204305682",
                "227332275203373789906955249003127155187",
                "50317233781559440493150445332740575361",
                "59742636064382707628198350361860682418",
                "203669900523828569705709464463401859773",
                "274980241621829259030014128301651597547",
                "243776267385173329210334340524765956889",
                "132777806154138648350583154006206370917",
                "200323358806862315732261025634300271354",
                "268108987729777059454535926153502790804",
                "209376513387589826480291994969821058801",
                "203081414014224687517224372127513612121",
                "314414929629960360520078123782470058411",
                "245811561227625100349731617699666141225",
                "104087163529093824141728346369711073774",
                "278627423667318887835169303121050968894",
                "303605485920908042778522674481539047203",
                "244152300436973168900920489915196418030",
                "99591926634946629709667170740765150940",
                "329588722698163968089768477952977733890",
                "136171601859473899368851638569664318603",
                "1145327621014291502272856474650937239",
                "250256347093242260991912923612807735333",
                "47589950303408555744979221849741708382",
                "182340827463241272395556553721779024502",
                "134896679256937429924494531631520369310",
                "31014182756838801684853216108456610490",
                "181721612610290780455130869967523956561",
                "129623535942762038858521228275393719234",
                "320243990674000254026393681272487864703",
                "145938787732763370052916802837504939481",
                "62628625038481029954636314341805865201",
                "196115814497859007557084293235734273665",
                "94055117310248385968862113513112904193",
                "146687823097009362005440975713567258338",
                "25150155517599009627898516815676289186",
                "259590151763386333917691544334051883137",
                "336262235119366236881669652833359772583",
                "179758092433206674704877882169956593450",
                "272384696285221223935820686175944563489",
                "30829649519201206180761065451151431383",
                "175475741290464196441704778262118393070",
                "289852892907902724930620753475925916846",
                "286949052049177642341922318008037396651",
                "243161027850562490867387475150655983340",
                "58304735466747986277397166977877266275",
                "157025231097829788823494300903603941191",
                "137562114295609475805376549144727902440",
                "117502079610987380655802007887996549749",
                "32989851383797547574205355124930545007",
                "165781405332594713808529180430378660552",
                "239216490325939746733046046238647340814",
                "43803909265414453229510498464784575426",
                "7068864558202176834346894470352220951",
                "198036652764845231704387911098198201460",
                "1581882277166728244768287671939949332",
                "205238178292311607258160074994149452633",
                "269294092058967696871521780407447017602",
                "75218649094354318891422640959285658669",
                "23803738256713801457049151469643168512",
                "105521037916453252677902005586584573873",
                "41507095593990026359200963185605220848",
                "94003374656784615455841430693677265125",
                "124280365861825991027434857728378895865",
                "61301484905649512774944130617563563927",
                "146097639530682489032607462911337033734",
                "160890816138833667247841179770809123242",
                "263943333877492108699070560675677713134",
                "182430116436487234918667778719189693445",
                "112489832078429861420956323711843618150",
                "306117617952751806292412961378949587939",
                "299586894739348192210995463377430626308",
                "261939170636606926563093145087474861689",
                "129968683366218830352552369016254928687",
                "233111154915134772666477787406165713030",
                "183385628057760489100355239580538813576",
                "29854642422640979828042884269052429999",
                "96318725130629802236924821139739282823",
                "188880296226503741589477454548561953975",
                "298792749513201710811121281856875895941",
                "50349598237889014696289124301469761966",
                "72182776364785354338492322836633874793",
                "19702156183337945354109581083836330055",
                "260802587163871487282707356851801453295",
                "22639999190985002799801955742030692178",
                "188643901495770528815784098531288267882",
                "172824703690820763162129170327163894173",
                "130486430559981333061751085495619676055",
                "131814597428325033001111174282098780389",
                "238241423455717673113025405744575037964",
                "275521663795162028313260772480855667048",
                "271958829822478090328261923104952170300",
                "144540295474132157538462814549699319391",
                "25985461429068699941804141611646944094",
                "181133673500675914997811444803601061631",
                "72978083868300205811863306517329315437",
                "75692895832065688787087044769549435423",
                "251605033526908553335688145183572876769",
                "185630944013799241201525625291322878851",
                "214658050782561631634645711367673758875",
                "277592044488440704269821337705163420082",
                "339060249097585209370859545292637341755",
                "296062199664160096225288672162025335086",
                "177585079242492969464839779850032841518",
                "7996255221359257101985790543338897643",
                "232334318600396127926806914218927331829",
                "233337732695523341311832726268330390789",
                "237696461751317921676019978043053487827",
                "46200667604358144728527845384021137506",
                "248123933855137746412350516535862190253",
                "50991062306432111194014028918517770459",
                "167013222342304000601860861222372886298",
                "284827319794445123388989060926018962826",
                "107937515583142374290663780512678450373",
                "7946962548586719954845256903098164289",
                "189990800269422072761379318702507280398",
                "173701697008373615326013989147029856745",
                "177697801207462152345917571301590176214",
                "174170307837913618000235452082192802016",
                "245323895991465105766696957775097479016",
                "148054489865511531779881075752054278134",
                "276578678391719037707681785628262143653",
                "243127937786328501545871633012655242799",
                "154175971345570819961522323659509519017",
                "88675500307190537091632073543795952687",
                "98949763694540320453056770337637221129",
                "190806942652339816537085554533836961137",
                "75724990612543959446713690272211659601",
                "45667060123134098776668706141605681488",
                "178459846912832559940248287496548350794",
                "153888281241446667883138996223522905750",
                "84230805577052917980825193356129433293",
                "313744639821638901566273828732114432400",
                "95196954343904385652132450825933602710",
                "241499761189531592283291338326478070949",
                "261013547098346111390768003221401510209",
                "204285700066063139223223638648367834969",
                "48611534706350990203618040343854040404",
                "112127918825885931046931252007948335850",
                "119491347872981158454958623720474870887",
                "308133065272905535779085352210001992730",
                "331679929746489589835658162825330599125",
                "263377168139738831436415570305381803490",
                "271469051822749647290674078019464382583",
                "29688111850450961360787645418389445101",
                "293808783528083730672607520614091414865",
                "81023480826894523429408825722213849498",
                "152706045755032604737648578072412848599",
                "108868340709365903497629801095848223725",
                "326773878718498114368316143236103771590",
                "261464655272771303379386557472042755681",
                "54812845126902851170769418339668917943",
                "131230810103935326500160030328009442564",
                "262563219947326554448239519042653397020",
                "322417545584697333394300944211984947448",
                "94314662660591137159229928890732167582",
                "225531413070272027484024424573044392551",
                "114889323426113374910828794074461184176",
                "307441068599227386869986533775226651218",
                "99108155653062666071881369352867400401",
                "192340211175213751649973134762665084498",
                "158588861643715374125986420445593183669",
                "8783748144970103349496035349137176962",
                "279966758202581543589649743615270538252",
                "224757123667323642537455684337477472474",
                "9665741591115827201808468167607576186",
                "41721801013858489005000062279859373024",
                "118927546586800446226973063300803664657",
                "178298767036400831012292117735066657313",
                "151184824423227373494245182249373060344",
                "236256625699361206262504545490421935589",
                "51063095101721285457928572332602721241",
                "102271980902129335650449441789799938545",
                "139902084839388664819894300442672827653",
                "42135943937337123247034420482344152995",
                "199437317006117465616036379147520805558",
                "321803445542025297227484383479273546493",
                "303691713986029981953743225196624019212",
                "276235349967393673617545069971418263369",
                "270479308556950821328479271733491820940",
                "167980190012241437311739782484952709668",
                "288736986076092543455994920184533692412",
                "240729382721534506803492574206289910189",
                "258655624197267970176711988732245539786",
                "114861644531753454377815164879147627729",
                "116476385898819305124177831207671403102",
                "236400833122608444948002006144242175696",
                "273090728129078690532586397864839424819",
                "92834561274526227071877378394535772163",
                "147956829438987059401368468956952458839",
                "278205398799348543452167415848440545600",
                "94808499183897069467640861181562979943",
                "84516973404246447334441081826963772985",
                "116110706882949896290704057824295287453",
                "91112907110107475484591649503675425525",
                "193362500397618100113311698280491919754",
                "132103554852851900689530501788672995008",
                "281018907738734035179625635670598403832",
                "82459864313953570682850299576625970362",
                "79143216713751837361536799535326406046",
                "229284990960362785025457380667269146352",
                "192773040629217940305984057478664457506",
                "331580675579561655928521171853684419698",
                "30678620774617943827901572061522899098",
                "266387353698569812790582442866696412854",
                "102893051736367917760290458918023878034",
                "146554224875678124361019362257080489422",
                "312909027243537402943856574683611816754",
                "197927262741044252932398203140629908387",
                "337118279957471356683466515012637190888",
                "161377683003693843351841286316864171079",
                "83616301265950712760395785271256749538",
                "188784635298884802420764735891183151299",
                "209617870139713322562428521733371164678",
                "46739977322363724403400979968427460328",
                "145089867790853718423757945490820621771",
                "304967150721718534279040976279905566187",
                "226134703531713152469370962302780064226",
                "163422967884030326722759957893636299930",
                "29354723348156255045013971330840282323",
                "76518221005690377583841591307724012186",
                "31783755823489147414292290059607190342",
                "281913913217848591166267871708658775711",
                "206860649282356275997752624777089528793",
                "277849591473471217582463894101605512954",
                "205458152514721082826957394371175567297",
                "188487303043707231577972553247097393221",
                "33068033649085741072633028529931482912",
                "40526575456930922049945188263785922758",
                "74540146140329611409426751250183110940",
                "43009051123975281022318701452391416310",
                "130633653243657745840859142204856451675",
                "131958990662886874637541715795178267483",
                "170004359568014950824329413769849167759",
                "163364323859950297089362489389155766080",
                "248094284147264442499124588268206790049",
                "320899645255321175468556605259682568504",
                "230340201663173050349057873363901413396",
                "167721809559153656491155947381511783506",
                "42386241448866844073062284285445783613",
                "47112476310814828100885273019779944459",
                "291072075194877408382799879624818804697",
                "255148676346477453292809229329592253769",
                "322579243817779754867741975335611178151",
                "113360741207886366715597205443654713120",
                "86122269685753550278161181219114786142",
                "50255668909622425157062614695776894037",
                "160158671291550449514869430656446704944",
                "64398140405180173664727018857997496377",
                "129123836536881555212119261785105574745",
                "269521396408986756989415423912349054269",
                "274682828395523675083703255714788164501",
                "220035922426034834569915146219121227342",
                "335753443124540434525819002952693424924",
                "283546891980650211490185099018737934672",
                "28183583526153929007788553130695680948",
                "255666430953601412708069719466767468471",
                "230771634377297461273168477564024425791",
                "260612692627447181401326244500240931203",
                "27117121236659266462381272384318478394",
                "230640839129591318735240559105576429467",
                "313639474036213901406425279761853246923",
                "329091890853046614768129046898109220024",
                "65686811537642229826900479181587778589",
                "292354039519718642287315926913405153656",
                "290248701787177222400408332849661766064",
                "61409930363465642302377028894008687469",
                "118697120261303844889138888455167547302",
                "165984243165048757579866257441555433624",
                "181617613651485135257123978475820969512",
                "27192170634192485668883456964488060741",
                "65688506275607492935390091542281803025",
                "294942305214035739452045885950467366191",
                "77557309975525176645869647511553621350",
                "186954399121270498952469255988636326089",
                "229199487766330865211577608956367623268",
                "230655831476700165545644329274413822012",
                "72459381421189376860679525860291700371",
                "157528995253702276390305004449930692314",
                "125186523564811937268976572253427995224",
                "174135816398555220301334885050015732654",
                "38412861037904432348312748857618137603",
                "132906702890958130690530755646332626056",
                "8176552266550710449841799199691391709",
                "262643820110830662090836044888479059915",
                "295166283367476741668336068036244511073",
                "189567828392340263550807306084244097020",
                "176391331918397590361851389561520669895",
                "308047353694924587011128269297221426586",
                "217149174472758681150936651646374222118",
                "105312100608305229855006138986178196412",
                "338011645420855540240332590026105909701",
                "42435330202531776930003973798646350339",
                "70309586497431775961418359858618945053",
                "285699153235183140864739958722375221103",
                "101312521977548721717929683872437835730",
                "283560708009556474253866558147393222901",
                "167908869357860825601517305519037551139",
                "176812095932461537311574506281688146174",
                "326729309014828753623607108065053847111",
                "283898206174220513514096061220546513387",
                "35486603841353692297596150011941030007",
                "272126791859521372960204182200552956209",
                "93636898660352100674534775961429362215",
                "16957495223148458353854655899622412146",
                "316712645109647079290079796992434369148",
                "105513714344542375834391203053972572422",
                "102093698797960337570622089416322824646",
                "61437873614605756743570967384424619592",
                "78896649060125652178362374032830760836",
                "172203664688528318556897366370611862776",
                "171501721715794624638628094972768701711",
                "255895535731197807300040708305357048476",
                "128358886953016378915024086027750895162",
                "129832869956065459841557902613150799509",
                "102051420068724790992765047278425565106",
                "31509893013311909279354940672941437315",
                "76792972338719521917038202268483696572",
                "296230033809906133468264170595883956404",
                "327753534120205164788901137687521906280",
                "310277952877204343472597593668409212354",
                "163220351719403483829513483523644644150",
                "322487383823280923779870687752806013524",
                "171191509059365320026024076629645404200",
                "62227629634056094150255185226931529799",
                "54785342680568937314103925438896013614",
                "116581346421801496915116861371185157172",
                "180694492209680236296098823919494521738",
                "36196328580073192619944451687369133057",
                "42578045138681965023744962447611820915",
                "27782626799017961671030960979391133488",
                "198066648785559753913402956497787637155",
                "92798679441288489768171800270218749131",
                "203545827413656750470762490500040777751",
                "283654811220495249482452011570532309993",
                "27752501498331164641374691372674763709",
                "60045372820312969043142027898048393277",
                "170796982033568851524239097487068207462",
                "95120990764702931451625460384428458507",
                "72804035064278116953312167798132102494",
                "75638030037415743023844848680706434233",
                "75734574585815840132823005409506132583",
                "138929614426489510001225734518472715880",
                "174266375297151742264389729956522523792",
                "165244464045220419307108259976507932411",
                "174568294011126619687503640126881234116",
                "116466283993892333242662869463935852079",
                "249028560599169390280325332518135938812",
                "177871086519177151044323422178739648646",
                "285142085144240075244067233658596574455",
                "156260298501378838747182275223702762821",
                "312478378324063995117247513339470790256",
                "4626494145915707247937187304111980463",
                "291972779734192611501792146236597725057",
                "38182659171825368440499300303464779111",
                "227350133313074650541797521992227918656",
                "115599004954015027822038049652049798841",
                "39602151496856883080471705567976788694",
                "234783277641032845258462110961552684854",
                "149245904692768646953988492051314052767",
                "14993176794085704040113277346367743266",
                "112231226672630797896788891070762987093",
                "272852165612035748605320679660687955700",
                "294324265074899816645234666520018450977",
                "119426605561609691969299716364011332370",
                "5193053776561843450120347270895849177",
                "333817837985304338957000699293677520795",
                "286419064583288560126567473542315901696",
                "319518376346998875376773238173053350202",
                "310528047995755109774618978303006907238",
                "337993294941956660690021868066737738994",
                "54809142262130261227508730969828197426",
                "187924514502303341082904876162165235641",
                "292046608517852952369878062989860514600",
                "68436107083337328066347585632719360009",
                "129662187394410139044194562583201026414",
                "311491780443583915996196613668142762388",
                "22203727484021777939141843092551874421",
                "339933106661286333554605482668465217614",
                "120754153088105161843156862690932889225",
                "245737774294919575425147195716074782794",
                "148753101611831285048311248062460677861",
                "130099187208425793378054800346682984367",
                "161892654916735440402515906539246509485",
                "176382115745115408407732764341143224890",
                "34682817996236955108631289928534814125",
                "165061549921292157914523270139543503367",
                "296102553668351052776249226948082012159",
                "94396541788220475343639911307511397393",
                "95125320780846555017038310002530368748",
                "114189700558707295837591280175552045752",
                "84671885131875051495965912177229008219",
                "321906984494047734146697464312034622711",
                "287402974767814781075732293226015572920",
                "124119329179313733300191695253708687547",
                "176222051573539837659711823728357534783",
                "301668118832957733026430027263358592989",
                "326307300410704578863826689493950158068",
                "44937081882599984597852364279648211138",
                "304657059861734774970918457677180694395",
                "234756806398007515741267854326468121907",
                "89341865313829641543629294479239788281",
                "179777247269609913249908406744583591810",
                "318962243387154686154593790685295986984",
                "27904636297331763554488110315140027948",
                "117096838696473103707190326791793084307",
                "143091805552620083689853153314214535046",
                "266431219826374784290563658077711984863",
                "129240690792950376703951969121303495435",
                "3500907600991702568857772461923036964",
                "146720667883321399268742884517759962776",
                "310381668616784950477194370682755027005",
                "26963431398769260738714152138966645305",
                "52793958957757067498753691637550623106",
                "35629474110649212159734961257246318864",
                "253020158504967143632063898165154158126",
                "29844765323669206921368648288753676249",
                "164297906298768333561838144661069360341",
                "322840584954022115918421846102584607567",
                "288231595085791564577682201175548089387",
                "182822177180815504580573141116156421807",
                "240521703160030592880882469191395362965",
                "316665341289849397621544242941472745570",
                "245919754909811625950994780856314862282",
                "279813615894793066106400577744923756665",
                "158420892608741098872473906438761702020",
                "245001634328799392420820410556415027737",
                "140359917652901984205092738152344386422",
                "247475371138568667731555941639476249936",
                "45872241366537913474792218480420382365",
                "61145976675783849465106865637156650959",
                "34491355305390316891149376983762650713",
                "108961015187190721718716666558308182376",
                "129653287766124520221525060521890955716",
                "114957177035784552055146185985817307920",
                "228581428832274612845977894013749240639",
                "59097162406039958116076656813083988939",
                "32939473519359916032474724357152114975",
                "221634572170699294739465082113488095696",
                "178228019013064805440642690060627033464",
                "58554250641912718037925594666832378821",
                "238716362817345132755355832965647030383",
                "40829460504770632764749650280650605358",
                "13515010915497701637135751436937821179",
                "284111125284839476727041132147080162060",
                "230251857738652252769890126316440106419",
                "278211110515136604267556010228320474361",
                "58646201423603684334298968966952004568",
                "162724244690005269174728219724516813875",
                "216234700052351679186735958769190325250",
                "140323251282529074140540791842475873673",
                "152041112657103716916708158036521709806",
                "103386690138959346323373915754767935466",
                "169150585327055869417983321902594784236",
                "320141668615229740080730758739625047601",
                "65165984596130396371373742107748026153",
                "80060493040422047292492615072420121801",
                "162346489169950943375903509812048565574",
                "62173188333391987693775506691902994902",
                "79849362411020548876943490528714167726",
                "65713735861967108630571998312666947912",
                "195462741668942893748843703297848005145",
                "93745849429155348512203580738077277303",
                "274729174320870001745844799358817605041",
                "46537263281305989832607349687317171726",
                "130441265693633567442468542395057101413",
                "130329714851349460727253357242400614671",
                "89298030802624202435331763307662197925",
                "316830485360579584184961432864553417982",
                "260247567188798630330258323194848996235",
                "45113724553329579856937070357268862946",
                "258574761171149766060162020072654297991",
                "314460325956880249978222595029843338677",
                "208200391006287187954595049477950911226",
                "258410093307487598107545813085346697295",
                "192192081145797912346099307890825482022",
                "28841129202860522919228974719597090139",
                "316137361249526222209785927893853717041",
                "95211191979976918682420949229110319547",
                "185398493036333417119974017791740162784",
                "75276742152647847295348772799678144858",
                "58079676075125460800246196374719579533",
                "338071882577150825772110445204833451863",
                "133182522954101362995537174836167003520",
                "186617902398562937305963443747868227545",
                "242115538133343039694740010000386529032",
                "86792521087952761586939419537691424764",
                "289941573859328632230649181028184298496",
                "73726961778981112920271567777066724330",
                "295353616060260554255194756426396055796",
                "13682835756197697681694031112021536821",
                "231434798552822151081854714419171318613",
                "45187157667527462963914606036820781243",
                "206628156288400208601106784475080408197",
                "6315757512164683492203332926118705872",
                "197376292650799457472660971073374576828",
                "148610921687715012161979736743345229467",
                "51018162889946617359698457878670246539",
                "252135445528457068813261016625610161338",
                "163695588510549147854191289829377796273",
                "83161801095427118634971743364088379787",
                "210012638639015811492265384542438836065",
                "6255667094562306262911926250318544651",
                "192922085157581237698999119977320056228",
                "99133171715306701445243272856532635788",
                "163664079016163324541186742587826247025",
                "303988248371745841226144170246765725678",
                "147485547602210583088792550362140939531",
                "266068174313029105577379125263753304660",
                "27107648758391821380480288509667360136",
                "86904920864360816978048056611627534310",
                "5640365527203758020381872106885496569",
                "233689353576433669725667456233682536480",
                "155573576158226714077736162159770417174",
                "280769058536187360718666671939209433427",
                "146715374110647422846223176208499028182",
                "303048530531423480124230688958288138043",
                "13641715596923247917422100396224974952",
                "338397238892815763797370318436076703398",
                "283186105782797295903856206166503038028",
                "44350610693353245613461956572806901253",
                "223571371325524901933236758001148464398",
                "215840141049968841339487324000723152169",
                "24747990736738571084738701499257970205",
                "247129491971889126217976094583682655263",
                "105591646186138401530839659867912520671",
                "265009287340638862659709179279429609287",
                "145488596534232551184973854569245976914",
                "112541934384452036201247768537577395415",
                "49258961232446977119143749523334738732",
                "61390643579980971864254296021405258506",
                "59119268413127675079033181814647721196",
                "88409912097108703411930465584747787758",
                "56469916224317227168694686737728083078",
                "222598232745406140733558984431883913846",
                "304006391136330644263762837065270938987",
                "330405566069534239084170857436724379985",
                "198577875425930006317642830204097017074",
                "34946524970907424769087572916366720070",
                "82586149711751058068072357191323679045",
                "284573729537229479309083295432582822626",
                "277186421089309803073853845221253874167",
                "289154372517421667848103027448796966026",
                "157218598637493926944084844873313232435",
                "299670009579782039554315076028710698460",
                "24908150538190575964553696311621303560",
                "176856425559908090657264754210782191382",
                "34364441876253661723047553115341142351",
                "244735500945498426529283430453523736122",
                "200398812030593743194364210521206883639",
                "6691486603361230473410783501457709110",
                "309687429721278073351986106680177482058",
                "312172755228290494775716357894003133487",
                "244820591431472462099441149986583948028",
                "338480280079766540353863918715189629766",
                "35259239325716050525162845310644609339",
                "259790599663612268297958932341963595944",
                "179213777590355290563894978211061669975",
                "220937041775138566352688499610232077503",
                "312449426174663818909807917386805923196",
                "88183039554169467842562764972182827627",
                "277507770806140558424475485540986856855",
                "115483341275899688990485936802897473601",
                "88139707532565775808445354337299446327",
                "289845777536869234214322096442850741076",
                "76440768995046842208177473787039412474",
                "42585258143800472201308722839012914286",
                "270882883569454386428476308082780954363",
                "108397106183424543557417622880085155473",
                "10082196753540893380144358133093204968",
                "22136383152416702225298776822849484924",
                "137458009566418318054986954006510574282",
                "29533413079700353425455967366574744299",
                "306326516755342495217977994859023299112",
                "18879377916963197069414887630356700811",
                "164926691490983230663444624376473974251",
                "74996358102314902192966431416472593376",
                "244114401248379963246514602074617185599",
                "19219423585698817931439559247776464207",
                "314345212386601051548721387931308447054",
                "246122344628770232891073952452056642319",
                "120517348229921418503865184597111327296",
                "288531433431964456635338622320815738341",
                "20816741029296750243829630381558326599",
                "126967736045037544610308812425697043164",
                "154320019758469991876026199427127307532",
                "169227697948894500797495641982189387204",
                "265271794929801092062257083892461560844",
                "286596106068044005342164328288539055325",
                "12305264525655255640669875972555201222",
                "177837713975165949873586111033347510230",
                "48910964992647604650780520805007783657",
                "244235622757293302982846378728083903904",
                "122082067296424638231799184184031961077",
                "142655595661398854846201790947670436528",
                "113076340436126791770279483537582230293",
                "103648375722440966704720008534987447964",
                "262241977289136788978798487142473024091",
                "212771399008241810522928925139342694504",
                "306282293317002738653033225479188125592",
                "189056582664528783518459122719249679211",
                "172008403135734556445055023940218736655",
                "311542325890290069556936656285383762897",
                "187439431760251776740901163874591841681",
                "106998171130002589092225738706446874641",
                "148301395862153625320007111426048386602",
                "114234093018983759318303068191617150246",
                "187566952234212364511761547341300524320",
                "155489313594619098980832980087388381245",
                "303510746200276480083251177973558142609",
                "271152146262867739009156735136195125607",
                "310180108522576051245760649898404224409",
                "148571934280432733759833835880373045331",
                "127920082891490321198394670896135173183",
                "12186993495840132259189181462626909355",
                "50649190105941185470664549868863641617",
                "266362261356444218152464052689855806518",
                "259083701465241256007543487594129656998",
                "39636515963011751987248892551046925106",
                "276538444099669870136246246662167215620",
                "243567356217495541492660202960773064674",
                "56302190963812641990118769511708769668",
                "91404303653494121986116103168423501381",
                "41595546703331021464192625402010634858",
                "21076055054908506783974574842624052764",
                "244386546275763188576504976073285170796",
                "57660271273232450878193949335058668269",
                "3380791297950033062461993372869446249",
                "245696605053628264438136721176592707450",
                "275803502071600985356733805403490042315",
                "99801749108937149128479810484996142862",
                "271100701381619273253079635760013372901",
                "327083106887350194683576667936237475180",
                "106024304230010242827018749085771942674",
                "4279902219337321335210969087883682615",
                "138751663560778097237109274586822271778",
                "133833070127744710957680465603768988681",
                "29401594645645043064396579394693789198",
                "128644321038103006152300079563880182209",
                "269496110181817327665703051205998647481",
                "232265608702909869952534356429611157214",
                "156564682372339156390057102742746751607",
                "312395656697831921971574008475415329652",
                "57168586840644373509184242822820738438",
                "63665421452937541677762565242424358795",
                "15525309244483001399958395213119182956",
                "108527574201525978225831877350445226074",
                "135530693056447874133242884753998817228",
                "204282554246844575541223319548636696613",
                "5677729463298145344526470835589039469",
                "101056297669384580896856177911937838890",
                "13114707698973897599808972672803141241",
                "292208731183446826231589586297010389758",
                "107862246732383648106532346005236927914",
                "301698345942084093668633559059961852553",
                "61584028557988195904996685100449175071",
                "232512019881570707968242143003577242831",
                "40975507450310877442667450653152351647",
                "204406473133036529667267166748942278246",
                "226474031996967474016964203156830999277",
                "267745595240586880995413950862706423692",
                "328776782626725130515848974670620633598",
                "152372946225928148497296958549579832636",
                "98823429178727214721131515208279349861",
                "13781017214824880389110375740881879340",
                "64326676537008516930896166416660294003",
                "216553731255116210199745248830709788105",
                "274300235594300803438820796339300606521",
                "68534746552032321761229521294377348005",
                "53285629733573300124358243009175396865",
                "285914720631093106737481095131818496917",
                "141450645710235668865723731649754045948",
                "149102507349586947194753968436130846809",
                "174711181471867927649127717583276381662",
                "53614456254413274453800216198443563150",
                "93321366361618468122937720594632425065",
                "131139568053616950469680948565770279413",
                "3220358570352727727853607047755916082",
                "293198880134137591348390172722771268927",
                "71658063048184710447748162545565453173",
                "336750727794380663376757529436456823810",
                "286535664036906301280870192211562918243",
                "215805154605876845730236082631565098988",
                "46624922666596476790928890714409374822",
                "41505877583716056678360895539609192120",
                "111063268922130510554965178653615641019",
                "102683361084942486459987648513925960131",
                "333768402689570404851493345650324407364",
                "326288640771616207331166290622532441222",
                "241008591391835801869485183319169908396",
                "53911463943869339131227095623740427056",
                "177027734665209041305131270467304899563",
                "74182907040679651128496658034656368160",
                "25432336397529327545074333696029495092",
                "4435940013165717274333787530102935559",
                "202909664059213495742034793761775008674",
                "111927792619250296045948020527683427450",
                "198685969462735054947525709686098213998",
                "260847940621131236334329048259441801975",
                "12609389795178396085094995752121036023",
                "71432082418813418864837994242005690047",
                "39629321768988344104725464264651934923",
                "337855328934022688388792855450494782626",
                "262133796182189471885262048984913710915",
                "9187282417041649768855485625323760737",
                "200077799701431949995905566955140526280",
                "297377682185938148941260973507398319960",
                "135300055818206814671660741819634310479",
                "130257721607731711921328618952408548597",
                "200747671607216309232020643080146541956",
                "16525386892577214409307477275675790999",
                "189476578804190141030900360498246135013",
                "118709362576954185862992247372702147844",
                "123839894724443153841280006636067700246",
                "62309038724864756093027273565751048279",
                "140613029045875642058687236240815675900",
                "165217750518067030666344485297356538081",
                "176721476357739418108340000088499273001",
                "42033667359956440738830550012842261307",
                "126564752629422958797894288993094602871",
                "314181791847344558604535940297867054610",
                "53421510449879447902406058707912324393",
                "250013265100969428504204155221175184364",
                "236406346287757237477766057470759692337",
                "206864088132176614975227566956800834962",
                "339774764062428714812231688005676236478",
                "70493856548323580379208155409863552809",
                "9386522959214627045092099836942604950",
                "312392695475720726914843403983339334542",
                "238371274038733581626096703937131934742",
                "318758709255091356931514161379253375655",
                "256858682760092545423762278036700519585",
                "210745122281185785334725074439194589978",
                "2595889961835172615841048039183712499",
                "180590352044384052069296308738493578776",
                "251352226843809315583180434580098400070",
                "189588663237758266368841468707387104533",
                "69732185358858602850301929659576847028",
                "297151347823834678064076411581093680505",
                "31897385018393323934362742760737307038",
                "268551013437313160340366406013321169535",
                "143581622620456781271512187772147551120",
                "161202108197680911394852200781420669754",
                "252891411453880307485116546730821207034",
                "54908728909765586153754851881274334670",
                "82491605563502624739355034341130335335",
                "58383144044876240321522207923467943813",
                "206090137383517065549903635747156720414",
                "171589112281455730855323028301587984693",
                "306593290177622141076497861060846219252",
                "170087551499411125677424283160771180823",
                "282044352015402668380999481122199770134",
                "314482896424410532803608982886395779686",
                "105884101515157065949106312296031121637",
                "26765430238973511048551275505162337491",
                "140054422059830953224708904081252565260",
                "161412123249686339583878664925454233620",
                "34333679643002349150915254598597514872",
                "284803066136850537993682979423082599413",
                "262987836582601040233864634121620984176",
                "268244415991316174535659230682182703101",
                "87879275280924667264963261606948626625",
                "191707578774390033842492797988845048538",
                "188467115659918639978372640531490766091",
                "90084015961127282207844114613088683238",
                "306253499027875649781471802823047444854",
                "215286685076001172644464925755746030270",
                "58506543288571378722110267226094082043",
                "329430561000050756413980241165629035475",
                "165781533867392652417699956013160431904",
                "319359539509875219304948043892688637419",
                "240115694318179107877976183591979754439",
                "76040069460382235473793679393906859155",
                "333438988685334776234817679958063135134",
                "334016302606657421492267147857397486608",
                "94776999722297415249047399518208685075",
                "264383364991223299405969602589589732289",
                "67636093222246951468900236912378143438",
                "101940003473357524212333051970040999849",
                "10911340519430418977495527146130001269",
                "71414810220534501015675842547235559000",
                "73978353238839170522479178842108987395",
                "64998235516771615624495844441965310577",
                "39007628981118234434523768664603952486",
                "269799494985302044593766098395746200808",
                "139012890277412987131845207592075664869",
                "139336817614757325504168603964556162211",
                "201929456226400617712768347233522664963",
                "16296174511516457029852526388073149751",
                "24291916020984081689045586671069949380",
                "185559055033118294687564181434782149932",
                "221097612620375719154711040242841347169",
                "240286001039935715678793427869575380198",
                "142060008824300476489217135934282040523",
                "245701673786332674637661157799517991941",
                "161040333239534275328781658651589259212",
                "156243189579415549280025766353882346756",
                "278915278627587768395992901655187852809",
                "63223904030574458693953677591062605541",
                "129676549634318196717483103702326332194",
                "96559897112681154669248592654683135657",
                "208472459190490880111294090042986622568",
                "147164740109125914503463396977741280013",
                "74283168227591152246885528094333230189",
                "289534301088950823403833051456855430379",
                "224891077120426749606236700911890601059",
                "100564645983521202013474926840610225398",
                "269844592042203306579781589913117536355",
                "118804717580735048076840949748803453784",
                "275337726209861921539036505381084470243",
                "18015395682397685830593443628768393736",
                "186718336789826192051841117003610464918",
                "263958980951517406686896422554195188610",
                "55602804388481849991914860174898654011",
                "172315308428803199920222725447475932881",
                "94642810915664093491622268594634929106",
                "207850352729703320000082605421549623326",
                "300069880187670981937965774045546544114",
                "122387472816307101232934319825696201492",
                "169921725870633155066108370518297755797",
                "199139593421409160828915763553607126109",
                "172474136095034781024285916548690053633",
                "195568920355272922113331117033129512840",
                "304856003015262498019200346186229028141",
                "6402407181038314403838919310148601365",
                "184532259712180426200891002081576725635",
                "25259713391349905931231200446434283505",
                "91106314485428608137449178545741628540",
                "237510670475182607040757214710384166095",
                "230729769867562441175963735076501094152",
                "277086901223023518400089905001781455386",
                "81093223030551013422296918122871248364",
                "173671046684364734867243948633728793555",
                "83098455986048210513586160353166485654",
                "74927952913817869613360643662214832700",
                "237468008664788183529799009528125087441",
                "180658675483340834432214471858490484289",
                "29073177674368323454897418311956785027",
                "293750204695923690975647640958426928362",
                "69130440226721835295385873002437962738",
                "126206658672309130168363956995674182419",
                "259578413300050272178165272021894555175",
                "160367277920184425505906941249775506757",
                "309442058441171037588747162085602893948",
                "199520566422191619509843061119991520502",
                "156536022963635516837806233795662254520",
                "49786635105378187702046948705645165426",
                "14014723888801279153880348986578268362",
                "298188500864668427804879189254143832710",
                "261723152431605096109928860370686536601",
                "141800032049631401126181731276006971656",
                "56795381385565254903080457286233419957",
                "118491435478848289237455657500138177852",
                "276712668113125812848424575095900700123",
                "195945465187097457429008497075752975900",
                "195014072530483263454460057039721074933",
                "66335980933893168115006843078018137504",
                "154136134033184374163467613488823663552",
                "155321412670073338649687253482178321872",
                "286808876363535757956651720212259475433",
                "338504634375495188089679028255745548245",
                "229106358692744829707576729709571745479",
                "204565369054611700829273190051035888500",
                "236533563165051276376222648418129482452",
                "288901937835549365433045471756647466263",
                "161087825304240081047482912178596810666",
                "64015732802187204195894587599691459355",
                "69288162926733815253373432569280530266",
                "30941018762256284794995458957055271396",
                "291449951708874222188761594240014412774",
                "116394188430980133243934475224421275792",
                "117610623435918306479686631270401297982",
                "125352745365861625002560711559771483872",
                "133858583733015369367095533593101545422",
                "152121655843257013784993687299278945848",
                "19592178480255975445678930686941245987",
                "176651833532992304697108523941622073043",
                "314462276097952189326898855342236923712",
                "244849671028839920704944748209915904316",
                "182845430206614694659737919731501081481",
                "255753113731116550980352650191585370364",
                "333753196094601606308912669710268787212",
                "171696919878628373050374155159243650970",
                "288387506688885652929384783265380523491",
                "3732570894744709499485040900996461332",
                "67986589288010097096456347975028032692",
                "28954240909802990323802567738198009520",
                "163441545946324943164542162604876399220",
                "129800387458462696498201013289401253404",
                "328786426707065399730005535954612459536",
                "103098301347966075978282319969870662681",
                "132656189994434509993797803812045630987",
                "5282446505066645987767437341225222841",
                "129160204846708345867758207307590685739",
                "124580028424053907596454732541417605849",
                "275889471976999488221727096958108471610",
                "203022200621375288317764153149894180341",
                "174709267844223937940327148654680930950",
                "283764072487092576119422668579585234758",
                "232869519408875422877760441976309038292",
                "231621127867753452815442423623852143585",
                "25509704273893573225087747534755743359",
                "270761779363032328821056546009992617789",
                "138114596721807248528552970184695919238",
                "18322788378338557632570553562434447040",
                "119964305774064105916431399706118510526",
                "1833112553425455580061889187480088529",
                "96354738415114231379819335524954620092",
                "45757374973201157891812310301281412312",
                "157043729366840549937264444307226402637",
                "131411194267348051210650632664086425324",
                "31894918590703554841568681507308176590",
                "271089124073760232902048152167219624284",
                "88711869125864872939977856913856593735",
                "332782090354340093515388212399427811640",
                "78113439718336883498079322224896471141",
                "140667597926695935577072890006440571862",
                "270578406496928324170321423106400692006",
                "21724332669840471985850826176907359235",
                "300939421290763660143140216345650397152",
                "56780186626487198978356343639827934286",
                "104822254811825250296318314069110222454",
                "300413473840664192010037951809136799083",
                "298132033884450801493780140613062242961",
                "107500553410878002301684714650835609158",
                "118703613309645751777885599417139579159",
                "154777989470149353495268273997559811607",
                "5181938054608565631895886254779187187",
                "57393719090458316645219215316228861061",
                "282042524467315206776663551789218677805",
                "188250572667947935778167680263947028658",
                "306673255206974265849517733536029003931",
                "10708179477961080280628476565386006100",
                "154442508980623140747421667394255928501",
                "195190582304087204289753923138262283874",
                "312329452276359955295646433297704794792",
                "315852694456995232258599410686887166967",
                "6187575239501225034150904171632102670",
                "164542807544711248244684861209436002883",
                "89648554952002292045212673166857216208",
                "120366249554174891715771134823359090892",
                "217242788597856678411560829981252849057",
                "182294456188023310469008829467238499234",
                "169610421754185226345317827080627708811",
                "334920795121689158453340629465618827010",
                "45718119288696183234526138789498185172",
                "5097496680330599331725470317606254717",
                "207288682678828129781790550263861629123",
                "315414096086699914417742836053135531625",
                "81349121225051900507929150539116659287",
                "12533864459854323556213937048914588216",
                "27952159669778491169682351452031632638",
                "316206608615523334533422353039693472795",
                "146902751722008873579076969459755163067",
                "36994640795852936586857134985804111222",
                "146347395637674655427621594092124833391",
                "203448636468977895817995808506933137827",
                "249626613890776537237711912985043676407",
                "10155959868957589235205066816319992093",
                "29806396946403086704194692406829536686",
                "84803370866166523269343865520443913429",
                "36795137561738138754923592696104495955",
                "72027799399165678251194799066273342692",
                "151344987384910396169181754073535092307",
                "193340092030027245995415625131628439865",
                "84557013572597374599188030075812181505",
                "218404208843128985837475595851420660864",
                "149466558860761084381753533322831823994",
                "256163410681847386279961028110045154034",
                "153096972130029255395624168460559512296",
                "48735822094480523721989157889953319576",
                "113131848802391363138230418832016925742",
                "295023667314582801899436384025557039807",
                "329954772372319286507566903107943234283",
                "130664232575910845367371159745222303589",
                "104505406042003863555586808284009259531",
                "110853486870858231836152284065048066254",
                "257756837563200853172882407266177538061",
                "248182213522827921218128855415728602235",
                "108289462698754765825878290311892841488",
                "198540497235831232964546971390424661975",
                "35925550757491026915234650251233959884",
                "40947976143806914238741272407602967097",
                "22733476513675215511379270320074472507",
                "31741145868558270165675246244491801384",
                "136221844235666524677408205315060244226",
                "217400083442387289916536750145531725660",
                "123004869588293678118668648853793408511",
                "193607186014369543974903126751171838244",
                "195121666811031995256103693096546048981",
                "165842121587815980727344871373932377933",
                "274755266781221399106995949050709899568",
                "65060381326016935713005602717328506778",
                "82496033377093155076656997932654420571",
                "291556874935418185024712362679870377709",
                "314619652492216908468309719790814663434",
                "106714299672987802879766800770521027619",
                "170075382426706645302354811276358590393",
                "128936055686368440073381952313438084967",
                "223878822272942239251613524330347868245",
                "337543347947702401405343436372829987027",
                "93803465591713518403888088320878669630",
                "263741527731603556904950040553272749740",
                "116128400544102118444149161808634090314",
                "136274244386132339291354580764506834441",
                "195135364825693399819829653936030677843",
                "229355688219307101669383534832468050497",
                "241585958402635423589737664673771830262",
                "105559148374357550085362689834364398308",
                "100693935720330928192407656502088026444",
                "37454398539472272976375201307865127956",
                "15419075540534142891034474262313469774",
                "228164891505656396047276803879308033321",
                "122301845461214221248418709697766724791",
                "160181403419031134019068021862648057402",
                "24518464023993299009707141153108606927",
                "146083131120743715799267054654482918800",
                "58253017127220327739605867269676950041",
                "1781051424606723924516355059901710983",
                "137276316296492554331444501556269337614",
                "164309206926365407855142697898996254116",
                "301682465860050749118864364443969988397",
                "44446650734315117959797833932991493396",
                "32738353368072227438446432752281199685",
                "301021145120985948465133278955180853645",
                "227186776419520382610512409333610435139",
                "36341808127289964343550237350177369415",
                "317044052545192438348835988745738215668",
                "82056683959156109085869596479356025157",
                "228818222960419320357524426904389834034",
                "97248627263273720133025380526925177777",
                "22470503282918289306924675841288263884",
                "88500523267406032718984103968553581150",
                "286283882314317629999928164395106223037",
                "212142836511509327755729300395297264080",
                "270167094218947184941520425539755529651",
                "110016623997487324525268949056857533055",
                "87102051750563641945631721544676762793",
                "146873357919351585750591757660507305758",
                "57801992999995607896962697679733120328",
                "18246821341368831482569631237451354311",
                "291403453918524561338463938029480143362",
                "236259159303399895766959685211789922236",
                "170139275227974484870486776208571973317",
                "333950051161486245729784638225160219140",
                "283881054490109506984405332693445781751",
                "427068438752463065747518976751157487",
                "264353388976589071462295548120895487449",
                "109589865127071198987011858368325484675",
                "250682325166210319292950011337394710220",
                "334570653078468292137855218475162229584",
                "185615449290604291174669686098983715065",
                "168365030580936835303871220348988477323",
                "59905327879413500555846378902337732123",
                "323284668750190254764906204039708885095",
                "233208787955847652978351562082959289481",
                "69660690371736447577113034148963693924",
                "294639982751123513025429225658297348212",
                "118396400068714476030160859673501680638",
                "263637198056348691487060098084063013126",
                "74216496748963084396792043399761787148",
                "30109023699369756905720341259611523359",
                "56408381093144680410049520743011841219",
                "321825982034745850938378174879703302130",
                "218984435450684929315716508940551826343",
                "126243179360689649610693178253967393096",
                "221523858566603787345378112112505458800",
                "146513688526496213888161070673902135852",
                "633213215975633076472246682982788227",
                "163692794044151336218792127120323747017",
                "9118170755300667234989436633599718739",
                "103714417647036376487094960436971669432",
                "196293497538150091961381995228450633298",
                "15055033445734338422094600826545763924",
                "136137675517665899007830374386391645836",
                "192616111502403719320800805452746628653",
                "275308382187855527503560675034395796167",
                "311925150056029503409293663222127406567",
                "72891266228770084717008865520248512059",
                "229767359871224168212852959687425492511",
                "191200157343821476848880366858081226554",
                "294335409317138233469912905600883281041",
                "326220591197304016230145771141222381756",
                "129578516878567493285930458273707915663",
                "243375909001787245919538240440254069623",
                "276731263232166734319625958853392818974",
                "183730734562904754590677245791453783031",
                "125824012596881547372944396779918117195",
                "284883733853692719528333219097388479094",
                "71342838134346702904102388108301927628",
                "282029244461390974922970152715243787229",
                "16229439401778052076231716031614135500",
                "162385074103198420328754263906620359401",
                "213167347824897547218583158959832160459",
                "102897719763133048611093275752283517327",
                "74323048967325026113955535554428102982",
                "144301624947050068148595779849381033493",
                "139879695877105154302415154967912713784",
                "56012092065891711159927336343549068569",
                "29153848778155632733699871719661581551",
                "241874556744835124074290915277529144913",
                "25266416188412989317839783440786477906",
                "235305411933759546690078373329200647623",
                "254667843535219838695991052532944706146",
                "113502520865656892661332748974260562902",
                "185170338322352096411155435408913453964",
                "322014491466061035620120143754152500928",
                "175491010095997034804311934607037415649",
                "21280493767173875951566997677205308559",
                "288854781783140183880767058850523708",
                "222922607930744382018148388664181871051",
                "37512551080444091442395023706158638382",
                "57016868744732534810690523756652515838",
                "187168121973464745497436412604994957631",
                "187070060277464619645526697050992209536",
                "290219232294964546893663334469454701994",
                "104669158127039590813057748912341686876",
                "120372288374647108182574412110282540320",
                "62851722164513726054296554662955431031",
                "178884610069993828949151056208958516048",
                "173361903887853597684284415512894824355",
                "54565183860381928516149177874330402530",
                "320119389804135585654676579770911978414",
                "177980638106492049467137760909908128308",
                "257916983860061999840653481956089654182",
                "279467209180678491300639162936998029540",
                "44850471225148293870249075690696210996",
                "113685729176026715411005087739181384778",
                "306746737686670123323195742351268256575",
                "730516106388659027492859201430234017",
                "143691173127266421714363022773324615143",
                "21847586530121838735815655855591470935",
                "215103599356011455917820458549973611513",
                "140367595820062918163139720340500478456",
                "25475737562768249417340159867857249312",
                "256918085872182342143052342859289079309",
                "127727883937411797454926050308333898092",
                "222831604675167622486956327188253279986",
                "111181555754062479660109662001994911709",
                "248965081687001632324766184491080846534",
                "276964398900641368455745553467848945436",
                "102581903225422455645275420237675226547",
                "160258087870294976218325207600878165365",
                "107469665536804204479465549332248271732",
                "333569636216232180154786707650439223751",
                "232471687497509458517637678893572598775",
                "76898016876884683853311656777860657549",
                "168008494599655861375996656729061268225",
                "303119077999149935501772317086359795756",
                "246935989840272312285465755602511307132",
                "221307468126818347994138812521876312943",
                "213242155082403800748542140953965381927",
                "165611683738769352105439988828589682008",
                "59663898775549512593927942018809275756",
                "208610081806592620941958731752232370665",
                "20167367155232492955584692263344029486",
                "204072770650979340226372791379164010956",
                "139387422813579348709791784041669622587",
                "20332347932319332996660740701659148761",
                "132283833348152099131483711831623550688",
                "72083572093517219331491798407660037110",
                "181888205558558626460838449192498312300",
                "249901645279839189047421010910736726038",
                "183252291349292259575746369558040481063",
                "126532624100203113606821153209003542777",
                "92676893969157178264895704277236555141",
                "125541463670023297301722522418202078349",
                "36268249833944440701375363987194786385",
                "189379733974071441670714471997679363119",
                "304931730874581713536550560946863285495",
                "68763494325702713818818725712294369139",
                "86037961963827726794356666931777366744",
                "266118590872624067620633353745201081969",
                "217630643839227511446698450903556851120",
                "261078131120074633761354235805236282829",
                "87262498848076592633822707145738073258",
                "175780242771287913519189782227954935577",
                "206658917008304424311625832483056852755",
                "287261263376983506510815985617575906964",
                "317976448786934109397280635661426118124",
                "33856487740985732469137155813870455184",
                "56580022628010530621284460862340369391",
                "268539029219531274744028170947782022806",
                "331214103655366727399056129033697506619",
                "214491255674774891437014927084798122242",
                "185419010249935056251937169007846740074",
                "35623924794449573852875666067433960582",
                "238844263810528943883952030658735750155",
                "89166610743874780915461993458013456971",
                "279606443744330945389986685016278890122",
                "245673262255687232928840008698921286232",
                "332096759799962768002435169106138750458",
                "48177891322377139408069337268913853905",
                "140007179619575943554013809130837885283",
                "264919615410966290455591471638526109871",
                "251151961929381580006724104619131405479",
                "28259571423564008599266847296778755",
                "240091913285901493620277328407674384311",
                "230372471671822697787867553100148026854",
                "313790889771337236141388570566329117484",
                "326785296278542201206026144949023881029",
                "234239693202421114292138324924547637455",
                "188855930800287852274029195604316532434",
                "11723795379748887110553521595912883598",
                "110963583558704272772633351879768709960",
                "195839613740959861184612365953617280710",
                "298213806083304824066496299014093554309",
                "214773971885669663721088066659853207872",
                "215376391925061498930985896403690899229",
                "56212388750185023157335619261520914550",
                "207838180978396848625913892389190463174",
                "137436897997531802975205713971137837436",
                "304627261904022746377773097921942005202",
                "187452626543301200466903187528102760451",
                "173212850398994484863008621852505555344",
                "99312584924900962201244080772695090383",
                "73685423927540727696868059642148365266",
                "330691939835110515477826188196669488323",
                "221631115859021803646839836246515818050",
                "73489175117333377577592325182052402080",
                "269747659927713867755504281011601741755",
                "44276165443389968320259064342667458419",
                "33672874947937119666490545243175174002",
                "146283961007495132347389048477408351476",
                "292725068468993346308999541959384028531",
                "175061794243721667505645647599546210716",
                "126020676235430225348392106210808206088",
                "42287373135177518000062671787893296211",
                "138582340777980263726712227806074359440",
                "130546703123629244508207718364947446255",
                "27006403682483114278982851955854533863",
                "1380113715918620090411981736767160112",
                "301861118012107868226919368568448917265",
                "127705389249358046798259606856922804670",
                "20497384975991270040951904466744093493",
                "187126943681598587566415347859060065403",
                "198650740228454774835789930566654057494",
                "331240865186744551982458005027119802248",
                "220679456395927543969162333804073558363",
                "190585226269948562987220737553834097076",
                "249251565741073061959460514028880591006",
                "32485639584954340543580549837243837731",
                "148292200569693050249493344039518610993",
                "295633670903332007095794915226789267978",
                "15880200124604840156470699208683362337",
                "172662846473923564744180146398575030566",
                "315069157992314967068495579960300964614",
                "4003762311353197844339947029083357836",
                "10382142979400664326551593885182566204",
                "101868177116635066423128350339048585905",
                "132485571580329458468939777322192604071",
                "116869414846850453131750959850636119361",
                "246814470739101035289314633003048961692",
                "148511407801356793674530102645756625288",
                "335738445737440888724587413136640949926",
                "8296334983339383551233395157236030725",
                "97474530266167084719661874570383662666",
                "148583970403787361410177152599080619763",
                "292217882940696820954934648188812706101",
                "82075172427132090667022262632162759332",
                "4607566967472015896028859935620618806",
                "214695229045478610842040863291050921417",
                "66109731163559469540549481657576833590",
                "164234743605460820087642847592449836514",
                "74906959348522272063020343635081648838",
                "208231574707194387022129870359826492061",
                "327648205981246233328108478120221299393",
                "128683330597309495245300342166938824697",
                "36619371055833089606471649472986428799",
                "194767127314072374479663678345388654434",
                "335424607795292832973167024053806482508",
                "264896135698761053191385030400414527642",
                "244574096789866465632414958519538189705",
                "333755594706946747722672190586686648312",
                "253509925097803851808806891024658291587",
                "183188216860805010411817137422481312778",
                "103335471693591235533465038131015383341",
                "76849742815684579345102694876219893199",
                "96638758488433220995422612419874243022",
                "53099164219662412222303418336545224923",
                "125479093328100755410256724587757825161",
                "269900015448104463880456709329204063365",
                "77110479238382552917925215496370268355",
                "197889903317471101243994253007358152310",
                "80944914840511561222120440952904369512",
                "236054627755124002530943672246755267273",
                "298627785923487095660932662888987955570",
                "293444534130826804103218725689986491184",
                "89147994555764426161052520781728712316",
                "185755521524519099936099768048234987146",
                "60580258449466475879709446627972564233",
                "196448442567820418174786115242736336179",
                "103312326895882235858226709827133371922",
                "231208201065628550059999920022699643490",
                "104656044611041630256989788679852568681",
                "29684690170607537191494654424767752516",
                "244507058408806040282497252461950168498",
                "187045235130581073846758562052020215056",
                "106322544159470163629221752508979806232",
                "96501514930006892681538313048523317888",
                "186947424347918414843469727771844683259",
                "246790542368241328268903993230200817161",
                "151702951154181593187449081128594675994",
                "201931554975496159181322603986625864602",
                "329995829304052081217054158515749174880",
                "284695260198029750078585584746540225476",
                "194231147603324846543607538704341082861",
                "161360374540823683925673976376142513500",
                "131581185219191449368096432231876958847",
                "324336214416257450409898430620526084318",
                "255090542018535021681464275575299709679",
                "7151571341511129047911360878295865316",
                "232272026654790826699684397817272272492",
                "111120865856857687393986272525448253032",
                "172992710546043727824420153213713940610",
                "253101661749071242198035352920125053493",
                "42329779835274999360939855236824030343",
                "297607510845347440621587437764879855154",
                "107838492877339253927238902789839039256",
                "225016870559829538578569202264592523924",
                "10370095534262129326877075049473882836",
                "97697105980556788227477541478489339987",
                "66699120361108359650075234303853754580",
                "298524516647115221442687279869029714842",
                "179394911125344925470434573866581301780",
                "162614412159725238931208977685437563817",
                "224477135377910746387732438746631902204",
                "259825779755222381001920047331130631468",
                "11244310111755701979998433201318385544",
                "249189460701991830827116507926369257435",
                "136545597908260438475455062364120098513",
                "212759860598820272264397273118502849052",
                "313533616392509090960413122623180727455",
                "48056524948384975046152041542813215686",
                "237932250108666904002167715502823160148",
                "329029106428174715168728571173048148941",
                "252570580504393859564183190249956057526",
                "174712198624339188268849087633460997099",
                "77560710885247540028551910407128464333",
                "315636146137345739382048514920586595435",
                "103152037394001943739218017534540844791",
                "93717009283550410816220828340778321198",
                "221355612690368414120837436622047913126",
                "141846100627922757999802787109484260911",
                "72005861509184781775895524975769648975",
                "179734921862135687496212580675691173891",
                "232939750136564662215717914206928857856",
                "184199302611093524979549644719731154966",
                "286274336429738641752141646097315749372",
                "304079086261825888938794997789555168476",
                "193179792772938271147228272896161780940",
                "104845216298621659455768220384580128412",
                "305208058081516930904678618127914854275",
                "309190244659653970269047793030653443745",
                "95952773301104618755595786953022118471",
                "276827184322410525999155362779037780968",
                "257318902515903845307684615825631177855",
                "148468843311151813850007087423355889204",
                "322923710309980096643469919484773180401",
                "223117694578828767530445117445734573087",
                "1161920689959061835430090413684893412",
                "337666429481032307011959465156130927332",
                "285216541146275916197934435137776676652",
                "199666828514212667887906319209126073269",
                "268949084959620149187525443366595017196",
                "268412734003974234729125886285257422202",
                "107803591749663934553028956749217117854",
                "176059586974863814079281140337847566268",
                "204725066229859634337070034699330796615",
                "330241374205810180599494229290414597252",
                "171906888950177212436958911135538075905",
                "20999333699814998267715123211430901996",
                "4463244867097635632035882741403306078",
                "150124698418845443365201433574254909436",
                "270432075986690494822334929457661025810",
                "214834976375702239141483496953585135976",
                "256324443713670257125987829699799845647",
                "297973498586844352860096301130313727886",
                "291517739224162050972305605249920565977",
                "127221124464900350936182038231645780248",
                "242278206735630850885426056277396207511",
                "210713356235832437139605750035872142917",
                "60609134146334613356931546202286732836",
                "307217145805065817026730270765018639931",
                "131482278197569777121297942415495620373",
                "323205352334248981928120226600537854128",
                "164629690510198545578358402110062649886",
                "15367247128654387639048438914498701770",
                "291863812775455492287825986924747179372",
                "225952930690506151825945363861608720610",
                "167956235879970067623154677214030107679",
                "232980117783767941366622718594883389755",
                "116348169496300130463531734760455096128",
                "137607576737372290152306537494486546564",
                "179201020113305031030364420933381279596",
                "305757390282786801476663959973777610704",
                "7352596891234524933923272183526307842",
                "318573549133228848728402780759023633919",
                "196653841949416248156317998842265312116",
                "64770320876345528174396749950532137065",
                "272311462927852839041789341024290480264",
                "16128672328361002610644185090543525762",
                "295116303414477795859098348031307314067",
                "225250353838245354059900852360064712352",
                "50164968290040696351919593213442752007",
                "290287860875550538283485751140450096538",
                "259178265514241395453553649229120182549",
                "160856288008900096054339626048152593136",
                "11268217205151114281716335518356097639",
                "141366150615302037949748415277089931429",
                "309074576864262644802843596662966026273",
                "272777645529721720474547738572573459859",
                "118113202582275304526385656813068724194",
                "251991398681310873908910363828589350470",
                "153985378326305658532462974005637638719",
                "87164642063571525274694291910963927679",
                "250000260757148890681052030548514259369",
                "102578752037254651405857291062678466633",
                "338368326258830631718104830740339149191",
                "32856075808145482926543059379040645411",
                "296819899703105622868716755966241726125",
                "339035150916072105210615993863854448629",
                "240934722148841938414088149061464020010",
                "271100049001017366123227514668255018392",
                "325375238687643342237403385005681403131",
                "259840473009798827978385344573035633882",
                "248680024750470502794407287571786158619",
                "98580921533796313973243457892128448235",
                "17285985829256057541742915049163056389",
                "299054853379497129614027297103257124877",
                "78019822799897012756002306330427925478",
                "112326263702028178119703899475965473676",
                "6326810594570672546956209110379691407",
                "274191499657271047107509707966793034445",
                "157586838667268679145699798236723817812",
                "309053396928995985778885442274606840044",
                "332030929028931927427708096478441359686",
                "45835085069530290201130750227524947470",
                "318824678259906494030884817405302064994",
                "195741141312084002907793061997680958346",
                "318840691405284598933696849470117354853",
                "201818793613562855770156157367563720668",
                "261950561930584218248427400583381592822",
                "243504496738861472395594804471928583169",
                "68282088146147304209165434232926553187",
                "156810798713254926795213168557991477073",
                "22301738645571381097137195063899215127",
                "234911309171621691137946558730531267544",
                "247542830074145531595082102761627574064",
                "21599181490441354807825016981250192767",
                "199847238612045863971820784304346176151",
                "162421834822147805168681132399580167366",
                "176568565715020354232171109861522303314",
                "304784789496262527832483391323124588372",
                "301935761201128129236429618822803292737",
                "212790956660885826394556365330429984328",
                "297484479734380614264650254946736280491",
                "286108642828459028488368590945837111415",
                "323980940422896431538147609910773044745",
                "109079208622741360955269954923916629554",
                "274744348979020407612641863630539995941",
                "162990203075873082201485704814766998505",
                "196652495339692786897413146866176787952",
                "137705242120169277650713987819698735773",
                "187755030163697199693684338290806827805",
                "60071963634403723274563325222247994300",
                "169797313069191165889785372794710955344",
                "173389294169653509047557981700933099762",
                "145987544417815000285757365569214279808",
                "32035251737582352661524800434710262152",
                "323878914315014690725852458482348365568",
                "243505746085630456328705806703127694028",
                "175746878359592372639773403200454833999",
                "58437832131581778469372339891870942724",
                "171011642678316258001350770324535010997",
                "312563573436896184619803720466386508051",
                "82096032605249143126181954614808653033",
                "94410012168269708222998053779119495364",
                "4250748620670879599494603360079124153",
                "105342476583614027012573297251416345779",
                "29568876646647225021625025920302665880",
                "141308724865982903645091266869614180941",
                "169923104012902980636558957450260494868",
                "324167549299025153256600693421181379261",
                "151223596567935954240797383482440852609",
                "120300197543962994925236592406002948931",
                "42520567405562600398258186029983118774",
                "89501043859254478685233398326952945316",
                "30601447273357418325313182156181203013",
                "136766249736699631025677871607319291293",
                "131267276138943927686077149377075076258",
                "183928834060548608051317406711656505822",
                "215333893517539830487285013416928584798",
                "105776328904337290296871453507852191403",
                "95259740281568617220463188382349414480",
                "213427057308798110552984098756328146139",
                "188226425502073535917648131979237307141",
                "60584211905181517661535438190028204397",
                "184464701121577320003625212167375306037",
                "254283560399188717789419669336249986838",
                "117876250095079516596183020454585903099",
                "301461877984287122439754790299617417038",
                "93544917540051468438740798960023945937",
                "248185603968219802876539671747995808650",
                "258325456052824153099178483483690684012",
                "213238429609859119049182015116885271768",
                "2185595875345282216971842970177370911",
                "116620776546937930826319304926442746135",
                "266408351860414402353254795848107803539",
                "136159422528303877573753281169914773304",
                "337779956606416852906033245085909792049",
                "153915407186263860669677793957005464314",
                "181409140770769982843936873986521178768",
                "132143149915767949952067657127753095940",
                "4922852616916548662516092272733945153",
                "291409650170997337892745483129240877823",
                "58041071585752139608338723721066382449",
                "263958099692379730571658469366185786336",
                "184193840834211914827658417183969542322",
                "239593333756443852353754007406129881076",
                "202911661047866570391014443202319570987",
                "163408655215406297082036404209195234984",
                "111086494769218208882321099746850817285",
                "267523036729526459658294977557241067166",
                "206516953447902158796529710544693794646",
                "229421362540708758585190416282799869001",
                "62473426476798099252918211766223392159",
                "134433561236395612005493793659621582831",
                "121815779269840990809735806136491833777",
                "162441573462223393401231330730303836739",
                "163637354927094596485472540960744335048",
                "80512879870394945719693253013808872861",
                "322800479205492207818556246823310077633",
                "37631213590102713168167321775946811873",
                "303139784112317554133956809102526120135",
                "134425457937071476929753178811250482112",
                "141425216006954323103468687856842162437",
                "212564441520818503580784147039469833264",
                "176039610110115035461831165733145827075",
                "269301486783229047404679190625014158194",
                "10536638981407610603270907804774337598",
                "118027291810232607012478652753683569397",
                "119122966137227147925538061081709976997",
                "145866051122576161879311937957774483919",
                "85797650545220688972542244207759437476",
                "150962516051921644051141067255565115466",
                "25184930089072385221974694723025600958",
                "80576193005016564672047023832915792697",
                "33339615825470642215235676871053752980",
                "153915525513716455726593635534250706386",
                "204030007725540917876298234992811616116",
                "109458110906847104274762599568966273504",
                "94788700825392620650088234181206048758",
                "318149065363384408473300507972996106658",
                "171643008981833617842472392822282931621",
                "167934451354217893428519629541142921636",
                "294462204291805012467641478290495424759",
                "233431393752143779944199458041152570631",
                "29653361089854980638867387428157051668",
                "44303371609148257230446802098697751562",
                "27525931388119708234342669977097749931",
                "22434594877521381561582339029341347578",
                "313516543816888713537267438749637306545",
                "51452384620155609935082980781129313302",
                "237040257808502913198000046100238016503",
                "163442664420048254520079984602743375748",
                "192531206492532821935448759124301106157",
                "183642068107781352852655370018895687769",
                "326830530897924030950323033771668338360",
                "234862429210607714732007325894719816129",
                "50047082643354423016578140062894631114",
                "116951339774353677894786972018869443870",
                "250973149101912111518610089351713182675",
                "217851137022344355835017665313493146056",
                "94438732989174462895359508855043507342",
                "152543345058770522945044350087824517484",
                "61558663050835365308606434730323520146",
                "260544508969563565530386402852013972101",
                "164249202352454393910310445473099861638",
                "192161184025866613423544620261075927479",
                "272580370976546235457309155940596067611",
                "179070435962736727284386541095746667710",
                "312047917528779331828542980064757615683",
                "232322992335857098974065118869929972770",
                "63088490587378221805684131802980416309",
                "114365763599579822047009328711739676093",
                "85853385108993472849262045028865932409",
                "278891163401601466869622541228542267064",
                "182309760309096297131257304013911589654",
                "142768170788144371898686052381687698916",
                "167474531835219472103795483776119707872",
                "278102324238336926187876839076756860838",
                "318915400883770921222073278402502491032",
                "153315562824705847313679095053883871566",
                "278267439098661727091537122043661729521",
                "292130017294671239919083662799336939211",
                "255156502390860072605257107006599143120",
                "63331523274739433544561331541203054496",
                "142433682802832291718209241499748400315",
                "229435241356155381245732861723731728210",
                "133852549133236947154208917503507423577",
                "187666194414181977961546562561544609958",
                "279194549702143504987368110853044424329",
                "216988523452811023588213808326543789844",
                "283040878361285968086117899161911228740",
                "330337999659509138810588116956455291353",
                "296618172277227006034453828604917152351",
                "141995282024190773970530555324872854088",
                "109837215683726348236923240233105414710",
                "158636111733694124764532967127084479223",
                "317015854845879930271104010371819112789",
                "158568478718117165624455725774752227820",
                "130137829421895942013178805082709269983",
                "318729450453112754944551254411637673384",
                "77415985998007736798027501721292674882",
                "311741737104130990905195305282686036022",
                "308945012944327164342654947674765668218",
                "305975836764725324491497987182522438518",
                "282836630004275209211829821735849072922",
                "331449969984406262372343741155898513512",
                "257830913114042872872961488269798412978",
                "170088052439431238468165604170392419072",
                "307127084043930840373349491174911329686",
                "8794467153527307845357889584811439976",
                "308437431083151067482297079753767121569",
                "280196562494089687064710412938073625883",
                "132347766637812484725517049089362063433",
                "40145314975686948188156759097084446592",
                "101803046198400659448513618947509012477",
                "115944924844176747176023223732483667116",
                "215926031380052463735309927729947655351",
                "325637841244031910858859245601260384154",
                "282840834293593258418647652179749726554",
                "76850014155310016421672621232280363773",
                "81473053655883542273568081058060321909",
                "171972294894518922706626541795817977237",
                "324069715381425481417450830439286909358",
                "73682137459306367947830024865477198868",
                "67098274233128114931291261902652555557",
                "94168683540493843153862965144078551466",
                "293050991503156173991637287741930040937",
                "92357535851258555223944016522798887607",
                "44541383061162201876587083256448214842",
                "329335423325060217519392594641054529936",
                "27006242802565719803104116364529119769",
                "86700309827694478645881668419030910944",
                "87996375671081382853283329560959040260",
                "144314067053689294307364802734852657749",
                "181027989772785918437606208933671703223",
                "68193318851144187159572230806274460303",
                "154494032577362364293410109859005000984",
                "137864100887494450410554510548655869923",
                "225939627059884593844535928882775248309",
                "161038006784887118397111093259003757631",
                "23439038219774049618987039692900465596",
                "325913938407343702683757293044978628342",
                "56040164468103083966640953391999616864",
                "331473752093177486023737756336516555200",
                "37733846763016832640992505890259641553",
                "235838672600088334526903314932065193701",
                "138558119798470544982531967626075604587",
                "277770814413149298686463233146275808916",
                "253088801047747113367860179648217625142",
                "197412861430655836969762220966217258515",
                "167215612047910546526761871462909974147",
                "53890951480937033538763531737026623430",
                "33971255061803639416361664384226464108",
                "286613449300166714021242823087450005085",
                "116521352185854577481503725408962980064",
                "154856564849844229697729051659040734099",
                "86196283638702543211281297470917353849",
                "52958038632239862752672380677712289130",
                "232157340608194675838935215946470648712",
                "311768223977592821768752523066313755159",
                "258958283538164080283682808973089475890",
                "236730970333911968930173563368590594774",
                "246423696323496979228489140181409269534",
                "225029853627848868458937955840939615494",
                "123917050231282092113788481801135046706",
                "18951315695568981747542996560652762662",
                "174445366608672909348497031323173153201",
                "28839563358989323602730320213217374248",
                "251945435985178620321985631004649693664",
                "171513587381283151358255227655563740458",
                "287348588126140003023874428965730802902",
                "314818149528304781444918738235907806896",
                "313688439277222412762385583915848607194",
                "231053961707330319774585179647803283768",
                "120568542798090791116874618806340759786",
                "94088363164157926684298708194717273421",
                "153040583333572794225020867100454405604",
                "151045633340963056015205418519800646863",
                "298011936145958008270965108825194911928",
                "272699280370012985456015647787185542962",
                "20706203326086256421936838671713941858",
                "98142562976532171639814331939374359896",
                "277599339695869627640503488414415995963",
                "125970579304504524517122748723093694123",
                "237678393373086219349830989167858845677",
                "294140006977598084728951086656400517236",
                "38108127363601022542379971946605195935",
                "167903864693911109518795226604903402449",
                "75139311641775082392811574350645001643",
                "55264126436737765725967515508572193653",
                "210783301792950814855707706270233586086",
                "15608517207243261593569112600813214287",
                "219306471080105483835401016005178642710",
                "1318469668880871352114606813368527597",
                "57604756930879794206157037998918803674",
                "272590397707232081432303967164329797589",
                "96574944754007432604369507942097760230",
                "204909155839926738682030752957504892084",
                "182492107887114800271114814887254963767",
                "317812018003533782498273778696335160931",
                "197166878638081466131830279757084869503",
                "182751122682570182263640647222930620074",
                "212262019105316671554798838057536474380",
                "11302662517000674173069879859032909118",
                "287236826684489892748293615546360520381",
                "166867804922511109835040565692380445677",
                "33417303227309163253259751034619083454",
                "264285649631310533041843904840652480674",
                "135110844331833799737990055290998792710",
                "176816027085892024206149479782420676812",
                "21000051635485852837550380100958310907",
                "104610707678099255450074189221242786496",
                "20270433730877010594385230417293784038",
                "339513738223931531147560435828218686322",
                "148965034395068804099439552026714747415",
                "238289944804987562602973760425465788432",
                "7678481165317693258148117283479557138",
                "145046545960369027292862036358287757311",
                "103854928999755971647759488329496058288",
                "33195158399792901243991299681716044687",
                "23571078175724355845591479685268751232",
                "213125058738319519007875169526016338779",
                "66940731666536091353711922103750633220",
                "192217813156703948509796450540034398111",
                "90081713231359412245317226477284450083",
                "47664678224073947419018528842573607843",
                "276514344746245681199572442851427782275",
                "14012429846703681483114895697278258226",
                "273073747956589638890528581662993225541",
                "114115267196707572684848334973983046844",
                "60904280443289567116425577372101678944",
                "29922777778230460299143086317553844110",
                "174276091819161606600634155481090372328",
                "22940403372532951194870354216537993628",
                "263158561298600646740394974788831674713",
                "60296462466643168315217649165251110792",
                "238511997265980047161773624777618956351",
                "336574283184315339900375140592643595070",
                "158062554055206722790829722439821188258",
                "101890398163416710522376330803876574250",
                "123605415045089715736931045398772166073",
                "322141853017323419807011902394783843041",
                "94580638286524600231024803635083024256",
                "216227653257184521020107310199280477984",
                "291550874527819501259301979588875657090",
                "65905147327603165980247923471617245300",
                "198987259922926445418357456155820762438",
                "139156396006032961895840664356352242651",
                "47864400358070804379783432494068509686",
                "130818287671790596647911969861966072901",
                "87828086167224417916767424719124325905",
                "85771595030695013905089329877877269177",
                "145882400905471014073719519190443972206",
                "263467883827278804220206359888677105817",
                "158371463541829860461735658022833037167",
                "184777393191354204719247901002036761102",
                "315173190670558545269396909703145307616",
                "323556780956796326467753130038065833697",
                "28644073664125719800140492028402978721",
                "233276846086131707436849639395723002983",
                "52754391342484674950399884238374627886",
                "309845677869795803765628226482843554733",
                "9637451478321540701174966886605874657",
                "208012124249098572434485789997780266149",
                "8067733034744126816162451068320660878",
                "273700665890201062462547261690571791940",
                "143525439210559808675844520168736997217",
                "315609866942246047230209339528488808726",
                "137570445654244097076912894713149490759",
                "71680373254815749458076979551299000178",
                "119630337527789338266565972267494560102",
                "262964387410567473367549652031521447301",
                "9761534934382062306287492631363946218",
                "184478524986009088392879722202441684080",
                "244211270293479018793407503531279962464",
                "179698928482196811421196013501977618027",
                "150326098433783246457207603449069146410",
                "273447129868128723547315320705333427386",
                "4999994903551096542974778550849579072",
                "262284019930550360316311621274962893818",
                "197495481050185952112010539538522154808",
                "67209653357678644649757732224088438176",
                "36563474928593728558136128818753564389",
                "92415232002945198803120643075578551088",
                "124518302749513681592115281000501204663",
                "105817616773278250968370598046548936268",
                "33395037147451004431438645372673788346",
                "21912886418645916023394909801571159500",
                "139644671359681603666263451195906145183",
                "207077441455547004327942776544511911591",
                "77765769825273920580376394600005352510",
                "198975369442100730342113637752329262776",
                "330748210786313917526434790818811646461",
                "122364391086075893976717613344204640389",
                "147390852406738577930940020464215170089",
                "54246828799522178879619668337158222171",
                "103900085087457046979702726327445491274",
                "288670073321363970493066299893450486587",
                "272453263123546835699878918328178622528",
                "224604467225392151696653403744723996344",
                "141993061751511905112574270087037874965",
                "337375340588853477754501486203896986857",
                "302452151507220318841223969601785496176",
                "175232139735816109760062572553435418773",
                "144663517011461475442663710206288652171",
                "130197117731227129507223414220639854191",
                "339393443632391429090165538707223075976",
                "311447570265249174523017028075542780088",
                "84061429184274024774267993021251225277",
                "109205365159390801074302522257037139335",
                "150522908712001015376824965824150330346",
                "54874549536474536543554704663819258347",
                "110757729190869767112999398439884396593",
                "62186415333709535200555906256636072704",
                "8899909651674123347025102418822789656",
                "310105408974082952824017150906197846225",
                "98857785016701044558983305553029186125",
                "64827363085058968425296474724728468588",
                "256332528702674052322687975778055522380",
                "56564356228980187030790268547465270140",
                "181517521855849720775170272346091218068",
                "261392108402986901500341507682524096447",
                "233909480438723101735175179492413278442",
                "174261957754283840238024894748263918597",
                "67249768004783209584115045893251365719",
                "28050918522490247804900963512568563027",
                "264278651003996922776309795539090797090",
                "321957821913276731364011769456829799520",
                "172370617940886730512881465313498248356",
                "315177091335078878740725841757504699125",
                "136350697784244788188434691537131020337",
                "64766017310499228333748082657374983464",
                "231152061570863416437959753788457059955",
                "30313089335280156831389187010468883880",
                "99453009436962393358138628573041273348",
                "330642563198974829420148775273466757388",
                "315499524790070492092654330637116458111",
                "146901174665150731483201440811200235068",
                "18253055038137791320465195885649707056",
                "316238031670293089152370596281534704503",
                "43721846823731137165294562714358017194",
                "8247214669182856639414515211259819151",
                "301473057209317623384239993493250867460",
                "149720360998207021199923294245923902845",
                "231326995747843866526040345118839660544",
                "269972434098149567042486955089713158051",
                "173338128705351745441196981470341286353",
                "273333007193302515494048353992018813248",
                "69688912385212929638041311338789451397",
                "339744286687554622448872001573306996097",
                "273348923663842028073130924688450276407",
                "126077098613255397663905238020355281349",
                "233288525777246111682872352414565173586",
                "160991776038944423245367629501918336728",
                "92233476300534744648895329481158625281",
                "68436740854854528552341047719405735710",
                "15876570887485033793611873925510864840",
                "284414858764071064855207456916204224459",
                "332528528903760789185522066734854668841",
                "301228188008584622816131287177424319165",
                "182400277155348702527135982145132389312",
                "147408652058416342416617794777525767737",
                "218457049146252282040130428372238372238",
                "267340592765147280584978752079748616894",
                "60957467569524053156512539477565515184",
                "101750548812169614189934095943430560920",
                "153026533072280924039745331693188239476",
                "156907104173572876451481441048373967306",
                "271861496671978758098071273189949645142",
                "246269682304853368598438999331811200469",
                "232149689045655392243481148159942958207",
                "209840596811827669963125705707384905326",
                "290640584132957328187973770603565776773",
                "123438702716300727825631931170864503434",
                "154866876288369854437503857408945916515",
                "23918601343803664812092927029739919325",
                "152222141865228700992104004951821629696",
                "139267834116327436228626580723079082294",
                "323156909322173556701387343328837204495",
                "74368083314316829991082805850607051009",
                "31366966484450631295414163661184418325",
                "277409143349423949791713341414671372235",
                "154193556688701748939009519447345200061",
                "275285050344738836677371373625093722322",
                "118747257126664043763291090670601675077",
                "217144536314660512980693778848013695703",
                "505160067740972699642293880832696605",
                "34643806073694360541240126915070029228",
                "108999434506904030392456326989560798026",
                "85404386387790580056551764502526650796",
                "320342228281880718591737607545499954363",
                "62213956938467862337335908138462226266",
                "30531331693339183768545581922906683953",
                "106256913892182614864214448651712231719",
                "23559286053878504378748237067717377255",
                "328997114630416190467837439093051102421",
                "41981735326695003889203050955800874721",
                "300501090772533938052560493376064241130",
                "255519732749180753423397895378904317444",
                "218061824125565497401040157739452910214",
                "226886898981027424879835497949821572577",
                "319593545868527493198739238868086662159",
                "117351253389080204504227777014940743402",
                "171665439869452617000219441458108686174",
                "232482298321031062778674760976223263919",
                "121407585621531093131468567359654603160",
                "307289167969129096238573626924154990772",
                "302344080176855161185417113720268035428",
                "273630658037429536644107989818495964045",
                "184150885169856113603527419987665294756",
                "124883166139069113022269007539845661314",
                "303669370269559155961830430686348826608",
                "27717882849794656799707309729993309461",
                "200614168861033101626417981187232520558",
                "278571102932569913277398259387858900460",
                "166600024284000997386307143670655675075",
                "42306713626074421634588937282247138364",
                "320228387320461406810223816793414182098",
                "74285778819492246253078200333115850207",
                "156739788374105044682559250720857379429",
                "213817347483876234577414010702967820415",
                "288346395017153964635678352667739328374",
                "301656891678027599811858523002688318202",
                "294967239145139594708342305824592069244",
                "224151703654892606929732460165175969759",
                "255882517279126974079540697166688037548",
                "201622752839044849604691656943593800079",
                "284230015973321168118065585694758231457",
                "200127241314740133390906970889020040453",
                "230923683521985646603197112211520014640",
                "223606630490366245624095049907342167689",
                "266017154627590357333530601522453858542",
                "73670950746113600689719220742059478802",
                "57475212074262404099018939733103452355",
                "140662124274102730118084163257659589274",
                "220246453394548182444337782046189335676",
                "305136225929059118179148382868348280228",
                "79279079897984315947689236878971164761",
                "56861948463801161863558146519971883016",
                "209488669751001412138497796763216297001",
                "258804091353718231694021440557652144033",
                "121248416110510069106209050609519116470",
                "18989457944867906848622363019193880337",
                "63612189942265541485376779446758969455",
                "278497365420758511571156822690148738767",
                "314107697057121707351951130705694361029",
                "271270858455940005304043171050250448569",
                "309037076512534314809129732915463125752",
                "36219850066967108050851983781008904523",
                "159224426563607777071035830131310539185",
                "143529160618996056807242996300502767925",
                "292547488694474959717245108241852717850",
                "303110099446172688868392638129474765467",
                "217858472061003319014050946936059394716",
                "245559676844565113714897250653180534892",
                "307398075516971144119743737315900581626",
                "48060047190823441792341664328434393644",
                "136425827136804295493774210957752847589",
                "338503468784530597925265238231869305310",
                "20962891239188384577488465818029584048",
                "269885701748851754265641304175753643256",
                "152320550140524132694532498239754592374",
                "191384666342000313715505411837059821854",
                "74946539012381847767489339981617825366",
                "26957690857184433226120646143589821998",
                "215259446361768963899308264680331103928",
                "131430052334063218332652948759934504865",
                "141768580198920273151735512782168261391",
                "91949282327771282346945703776084223388",
                "167216039704765348579240396399592422003",
                "242506436873288993499920208695709205513",
                "187242094559842664640013280248728696004",
                "280315093478711972986527777356330449419",
                "285741880985639376391851844041473668017",
                "232817067627525119547106486617627260779",
                "274056713335703120386715795185579890510",
                "218952234078882594263935125362425431523",
                "338954779206806163082135644976395298060",
                "331210775148993285690307242464370747620",
                "148268418349112847895561316427664338726",
                "60451209331188477338208554328208281172",
                "117124750789557204272697867235063221846",
                "4383133588609752038540483025870641648",
                "149292928974180524498184126256238280390",
                "232365244074936241038704886838709968603",
                "17179016464639018006555380577497795544",
                "242473375058497034154729013869278885606",
                "54812753216253440868865234073377174757",
                "312334137769155575505650198791636892524",
                "83382634641043945501335379046842508501",
                "128961313681484397187577747321101391104",
                "58766163565261301433492866889355917550",
                "258448671037651690834124751683340757040",
                "42007411921880064215550952057368970165",
                "232314956083867642337064743352889675915",
                "87298144454582585400554607093878063497",
                "168175846580516011400962156963335439350",
                "130140646236875051840035480040642898921",
                "34991156307204354641707656470094023761",
                "197200095776983396086519720543149996263",
                "329748927014049550565067932339734335533",
                "167601389275485520277672940621093342732",
                "171841210798168556538539137823506133843",
                "317774569650811278114346326324315353712",
                "126098320975068773995351581221599338633",
                "266069040104026911224700446361256687854",
                "335665793481878241105387251857574496528",
                "267487542530011468754578520603193431035",
                "222900983709407669620045655839839115941",
                "61950044096902339700496541368830810037",
                "192541761328730233044320091030759167863",
                "95870057083603955326948308935806706052",
                "69356158116257385995830442825460591452",
                "311747918146995958377367171326463977628",
                "159523941824257002263202100383696393509",
                "129612578072644943820747726501355114705",
                "66182887625629681017532761357202239908",
                "278808356170628641244498331160213180563",
                "213791083272704899344351798683489600918",
                "25427310172828217020712313995000315971",
                "270758926509685137721184720691463715760",
                "320976609332601985890637455692759745814",
                "75447101632782768750732516502404924386",
                "259140209788346556061739890740351641916",
                "90135039326123901147250118798828100323",
                "238557417331913858959215223350990728914",
                "49461816901942249472039315680399544216",
                "212957914370137660030679403090340767496",
                "147345040757909495907306842919337004729",
                "128141836680785299579210800776204563497",
                "243740474490609877755999333192498107903",
                "230690501003444477112890668876121173872",
                "281716115893487485863094831065583240329",
                "27751503850242474240357667649163454379",
                "77068012669574842326269224157963971648",
                "60959618947782856237706660656074172243",
                "173289691468064924608549379191834907602",
                "2126488446363117957847585844103181373",
                "139067916416138312835326711416766832971",
                "8623781962732057280088516156098700683",
                "155454460027717595224973849773660685860",
                "116740317905288036410918175245692926715",
                "52397412771651715977911620179854634070",
                "314634496405371116333313210053995025179",
                "216819344269484405487939068704589121145",
                "130464795144882219644097719021405181927",
                "184312176481764029124410114893746708819",
                "252448008152179560911807017315705663541",
                "235929085282311852820240812704835817646",
                "332071111522476457295585256772692453399",
                "338149627643193822264933697093118905064",
                "209248225645848636012368277779503321294",
                "283052722836358595757191306442346527894",
                "198009740412346592319663815840237133982",
                "251709712598846148793256905053118400946",
                "94650638376192816224856276900290159408",
                "192948584791576171228203637560716107482",
                "267620161546607905247852136036567868308",
                "319662063548886833041113492227023235104",
                "278907461890538186871532500591445694110",
                "308753899223403470399495919191981271043",
                "110447614544571896998564008786793025372",
                "178469674772231396269341684200746392683",
                "7606665531208509479637899265487104106",
                "240666078325554040475654403306244495461",
                "162443770717633984358767695262577305018",
                "43745336046276513780325842562507881078",
                "154806606347036680560558835547296791869",
                "153434499448111339168612650563230237082",
                "10016867678444113834913280899251350709",
                "205046748171512653006165247563155827985",
                "244976313640062129100150619280443484461",
                "25962302440956232948799613348354581253",
                "255731826258068546827681460763473858710",
                "297422322877243226338273030414551223529",
                "257976488007463414845760658033006666185",
                "31595110884555142434791495388036906504",
                "320422272444172729505527911791844687834",
                "339551746959897938534619216886153600747",
                "170458114217681219973609646154518623967",
                "82867943575421204677004776522033062163",
                "87864155213959702004319957909251481253",
                "115867355131501935373778139671684452721",
                "42653897216314165450231643946050052449",
                "79547213449378162987948797089470822293",
                "242680801736794494522209964315004129241",
                "198438059769908208780376868227992887059",
                "262121241103281849004034855026600919844",
                "196392316727150913884650756258674983982",
                "258476177809080615760903015677714160213",
                "302946181876208271568259768653145233098",
                "310902315400529359646654884681358911587",
                "156841864431516479410983368949724048727",
                "281070381426008646973588622240882668080",
                "18072058469236114203050263523886534682",
                "112748478738914390999332995318095349440",
                "88174937292040767603196811922349795564",
                "315700900552686852672923698299171845288",
                "68691510281172935256601900692682417841",
                "126488006851478088672027499272778944317",
                "208438525506821055949795210045824915301",
                "117117165494040350320251922350862554580",
                "164961036715223396724504079466683758868",
                "125715834867184524652984967295537599420",
                "57150338974067193155587163692177235225",
                "295269940836400162415473747422966832635",
                "172941312146274646506591934592830690546",
                "332058358055798005759208675533368786019",
                "92637164793149399071839380958597585540",
                "321230592790530757919055777931109219277",
                "175070813796545997794663897608007298808",
                "263937191415445403521910674827363967867",
                "65038841388754087670417186898229659294",
                "37033975775440054195908697634334307578",
                "156721164318207030948862166558234543146",
                "210142748812374744286673518267740944302",
                "85453058716141827467221573964453006426",
                "47319955161904238742547387656547814486",
                "60858519754374111757307726300685515254",
                "139437577042051308207619167720720694995",
                "32225411892397704312975076328696601182",
                "173796698958875563060968463416464941607",
                "90235341062788261514859478445705115595",
                "242174590358020618111488870019472825987",
                "300162690611739827618440327406780901936",
                "109076157015154580115448920178242002703",
                "339241207094069260816381387730817262467",
                "141913544517960338886643703619787341211",
                "246734035742721768290097024092578839819",
                "154365091333613284081199665149344103350",
                "19162289313917955893285420672730710779",
                "230987980549358056706336116184717267773",
                "183341765899872755332260336695949969025",
                "249898258160763857535418377813937140435",
                "177419703121022125467565594536576637966",
                "168451935322298137683551196475516922865",
                "211651800991089765571963948376123548010",
                "58430457475003035108053911140731599733",
                "258006249720310448652913841648532759486",
                "11287922380398157449743213076056472469",
                "231147390420938701296314480277949645105",
                "63302773856337678673467307908275184311",
                "30705775614231477183835382720321416034",
                "155537244880196451141335746416492320072",
                "70588371823242654353429206650930722142",
                "62825985125866825131450116864411995636",
                "204270700101115349187186007408930464514",
                "186707240980216985905741592622094835570",
                "290942050430766399301907424393650864960",
                "171477133631912345228899589132416869076",
                "58896157174929876706980768309115737773",
                "158571146282056040157420544812258207354",
                "164199720665217013440335020522935131459",
                "128890903012293046842535595240743191056",
                "319704631070820086872368271759806393550",
                "6538966384533492930779682859532705205",
                "287217816234275299096328356950283427474",
                "167111146010796268801499606221616866855",
                "36293430689331906957774668636351925427",
                "240432799535420444879273295171028548006",
                "304437573316130157783250453688381723542",
                "198022314097227112157991834024135078938",
                "337771090813048604492103973655798256054",
                "181628167931306031878869894051588841507",
                "18557492818597763911878550508434918279",
                "216686381792279145925018502315031060782",
                "297747388417668295254518224176455490091",
                "266914134760973868393500999488157945775",
                "77285851484320691680278693300488247084",
                "74751311156983752422301873242570274168",
                "295434658866976167413304469007050341481",
                "63417263913148275581729148905469151979",
                "225992530228839606785568460916259273723",
                "251687845656178475279236345344226068377",
                "191833684514585355420054473698650849746",
                "281902547166474719536195846028234218013",
                "330909417578227756593464974360894716922",
                "125833242847526755588801207378383950535",
                "62680013065483414291357679907180574081",
                "305551766078549690790409780138702697160",
                "102570172667683565722802607688233944150",
                "228616011353925198031096949375115503021",
                "89587342854535632594173238309987327513",
                "132164515549754566149294608652323934811",
                "128025320499128098793388150715435966362",
                "262251085108247298630727367144097646369",
                "315131169136013368017485255497411902629",
                "321803147677258352156895599512790376535",
                "307591745328457377328699809736617320622",
                "174382292449020686341083392766930457719",
                "91739976385485274850729465795958475016",
                "231632366979853274803153345446507956434",
                "82320647487809621124255566486666501052",
                "300307511157063324986462163835683401443",
                "137919409216542189462216581920241864635",
                "257276370337585343050545999599998557986",
                "212783725727287545863003627361822953080",
                "255098582330619962597110255361563640119",
                "274986941407630127529714104656311344936",
                "243364697863429342225610440882758847936",
                "282563089324708677819949561030497770556",
                "183533828081872365266675109389355699381",
                "58016042202787187033801522209870599010",
                "994829697347594817715776491404042212",
                "89274410903337403787794539544972601963",
                "247424037544043178859844210246915134271",
                "60224269615608190879825573086384478811",
                "78853414676352198435637187801023855474",
                "194079859512310704753720545383363113372",
                "159226996509105055854010967754823665234",
                "261164969019428619536593451451275812074",
                "99166752138499870590965273133341809264",
                "216962188614966176288339984709141340781",
                "28078274481452262327146419442764883543",
                "144334856333562640296030077793060381019",
                "234459878889344806378800001425928987637",
                "16418513193103703024534387221475775175",
                "36016595857113295071350672923354810398",
                "102421003757704442982489948432847070701",
                "70767918105307314381451676527137080236",
                "248118925674474988171339989118119091073",
                "62957329041941350834560072884133233419",
                "170008913825696929294376912308477097157",
                "334904218266051559805096292377519496035",
                "227031116627484435435631564196136254006",
                "14402657916630450039755612228046764779",
                "114398073917303158690587828867158615167",
                "107745791353432618577218903561892222013",
                "22223342484306144832029122269490735647",
                "207425685470482902748628012035806134643",
                "91221113132173953920871300159095240824",
                "103776119413872311764397672751413789906",
                "212783130707468788337546450701561971231",
                "173528194541053886373535746912212017208",
                "91384137896766661806492647734020659194",
                "110072511879471464514830055687933695532",
                "67431080543361730140962801433420716100",
                "44539038030740315959833084588585147712",
                "125267593877841848827490769660993491863",
                "107491171930305346323923026865764434247",
                "140413173108139008443274669022665002382",
                "128825719623605658151050174751837062156",
                "307339988192625456448712791329072724288",
                "189192844926629114738037235210555945124",
                "265856346897881287118834048401430631114",
                "274313012392725807356923207311726879772",
                "104297398879147075512032554866390515221",
                "195857726152492901817090140722017854515",
                "53265494012956453102624508170764092352",
                "262959471744194388165026617653437404850",
                "99900495321255891666768649872961701265",
                "179466429826871406316764510900395302718",
                "318212954251807783735471991687050559306",
                "172406605084428805383012177961308377887",
                "104224363024981300962343985738744778661",
                "73566066126130134624509259381625640225",
                "46734414744342396624205494864839812603",
                "196255323952842149183976990327346177930",
                "273094368153468226049754270084941853070",
                "280620909836602727749069460419942495480",
                "185478281036370810294713484435329468962",
                "49068737391331802259420200348634053064",
                "293717707416840805534413101308004268555",
                "94889187377687218026214268110281363760",
                "166965188810914197478645718288652695069",
                "150903714585393970519439918412979586384",
                "88378697321309396393488542680109565244",
                "295566213717761652677579466555821821717",
                "110520663855123702644515894021235883579",
                "168353914843310503621554961718867214579",
                "191366176094563600182581284310886331834",
                "30110139062814937762960858234446964276",
                "16002924132907197231261051088535002956",
                "107611396187669920029094851908736078672",
                "307384389688923041175043149759846384474",
                "185504447126327672060711653031737904563",
                "334748370129537958983630079696249210795",
                "121033779703796216165296196014263675490",
                "94948368327102965393500673117978594766",
                "59474021884686737110659271966077980793",
                "180953305974656774764466246670584281382",
                "229338350585718573734930876842221114340",
                "333258436700282766106080007318960092420",
                "276604234840962218854133287971738048624",
                "237954781587036870352289302991569181856",
                "218295492073670331164900707271858519705",
                "37248462089525908194279145821099923226",
                "250576145763310554363976408021273409929",
                "76322875578221698666093149694798099181",
                "328549941186920633853555288160453235127",
                "141347409430464879028913552825858666730",
                "102493452095146799330871683537940473267",
                "171375494314052386668833336290365784876",
                "323761017378697545773850537096219399563",
                "280101809994657449408561150268291828692",
                "164420852528068549821400318232218388637",
                "310937011036012554800560008519551943646",
                "210002595494169662558196325544035477529",
                "302497941793473668236680302768977622486",
                "218834101943041399603340284542332592176",
                "25702679801458718015678683967839567510",
                "202005513111958271172035357895042842966",
                "190275157949790981917788531804003795704",
                "249859467509761939784875558037331037007",
                "154655453895358032105668987548970198261",
                "61683730914229036345867038952176171247",
                "269520786905497342096834951063940852995",
                "183985532368468346660818703397966520117",
                "78037162724122467678597540630662459213",
                "175326163497124652250707342503682680454",
                "302638246493120455235916361521455620587",
                "306715581256188546315795091022733149301",
                "180581176139792098741408213166955693226",
                "77257207643635874577894033575232125303",
                "88743797716443100840519307324154820607",
                "225655230226729115858368425863585366935",
                "158156020394764836159398893150674061254",
                "250854064328289156083922924690502731704",
                "85631126089904775873732439338055066286",
                "73673908585455677564415424404051906964",
                "199238570111521404559871242349563491253",
                "20161669200978911558281810986336497837",
                "239749707682753730544105540246906152478",
                "89587334994889427965200941830479939121",
                "116317781909593155574031337829396883220",
                "127768431083639977574068386948730541619",
                "166771099642694209244437796293530724777",
                "79792015700059030911953262689804763897",
                "122162018549269918988801296891265287015",
                "289847864662085267886112199384632175139",
                "117813221068301848895207717561973201123",
                "163537355657008796145771894539682947496",
                "237083317314889594943014721098473508957",
                "132919229977957911078663479370778483987",
                "188462435755985721141489545480532110906",
                "274217956534722966894469542357770179542",
                "46566438036277332093460854790420077800",
                "303415398837995600824598195438521842504",
                "140619609167000107706414058816619107237",
                "104498977545982326547089634647008293239",
                "99993736101700024483714284945322317337",
                "86213528656416186924883771294691716586",
                "271366233085765635090508530690170590984",
                "140237432121814607553317488433318619131",
                "143767682052874878920084839810328414903",
                "79984656036000639868780415835262282687",
                "297690705034534568821861198146029951426",
                "307439219305615298453822452438668310422",
                "222819938175015140836306489660078997954",
                "335365058803692212035117216183940864248",
                "155989926664656503453831067792400693995",
                "7686559039848637961952667724724469953",
                "290157908737304536718178472268449185644",
                "154215188786236926684460116974457486107",
                "297855768590777005745030542465358867627",
                "91633391426827557524413494601760588830",
                "334817645635676421221511196443177502544",
                "155223698817825531928106461602329206494",
                "223972188806601641180907815060209087609",
                "55651234875868662201441078823339012984",
                "236562959884908222452579950954188240328",
                "116407220855825276520016046670190250077",
                "128899864506126851176507342794291017187",
                "47119929834733704308802046103777580758",
                "328855956715481518791434490617839836157",
                "264956097596383638210900273843389594058",
                "155906918345741111149847379067283982205",
                "168612446720221303802927879520383907308",
                "298920703479661360453569675216845424509",
                "168666482007427398417045422629219828387",
                "191203627665753990149879236273594079296",
                "303200207557648104164493735634571384434",
                "179925295705341023283234532185614214313",
                "253311892867807007528781473014132685344",
                "101807919329568584293684274769269327435",
                "295540761299293881108203420265583505012",
                "147350079672533400323306370870139895144",
                "88750409932886341254546586135396724268",
                "228234000397447809918490618442068798184",
                "129882320233094151678073495769599549159",
                "339375845989672297376029360329116227534",
                "176391892233720326681000658506741975304",
                "125009144550937140455203036596597901308",
                "274043133839639510737101416543321519292",
                "301492555827363885454401641097400945924",
                "32929731542976226259839401569701759963",
                "188912282917674886496354319890699841592",
                "177079163799753305216417995133050749401",
                "97436407953624584263581923723190907551",
                "160858402046194513532803713973761962542",
                "306744645898155858163444130530834850627",
                "204599101095030166696083303480045762559",
                "46417876399308739840380016551513884618",
                "325953333467285364319734629305707556619",
                "293092526487247722034813998312789536140",
                "161245405106422649651202878923998953500",
                "306485260844940758609566563892936420983",
                "187123602935813758770733932159660718180",
                "11477251743553850775536716800710900676",
                "218168406461513702873179526952241612204",
                "66131653944614277741099079024011183968",
                "34380899207455640266559806314475348125",
                "306820633391995578460906300693922728947",
                "6678490811062591184588884288479519344",
                "215295970269881448226238080732890337994",
                "259052848139247101691824310638136158834",
                "223771777117224580608297682875271787803",
                "323469771007950464267550905524007874586",
                "170401988188750214223695010177125010752",
                "244201879010018425935103186614911915569",
                "243899912451464340824803759168705945866",
                "215363993266673284633591317150864358668",
                "190921007289670274087773554568473534269",
                "12676751704178207982018052314721320440",
                "14825581967984569393498331575033787293",
                "309422318650581920960608194325608760769",
                "210466208663638399498934329531441482848",
                "269044176921400797236795854926505170499",
                "6123983005070212557598136431627289144",
                "128950836493673798565238623552603920189",
                "74422928103354888785682465338229384871",
                "32648765248867420309763360776935325423",
                "16100476413593516346052062007338231205",
                "271950081213411214127898476252608358541",
                "95524536781361448482833338829152854377",
                "134915579215096892119639630599947230466",
                "58627648440997502715396808958744098689",
                "226929826604100766896026716490496118672",
                "77509114328382245995451097464371909301",
                "59481073982668098210410025752386980414",
                "269413869802973626654207727231702534702",
                "44607916011415642368082837094226121839",
                "242010112505133831654812117384307087988",
                "192588837140268503102714963222841419811",
                "274718538713049235040911689464400992861",
                "109185473776770613990679983407414977632",
                "243731360813923035164442197469087787183",
                "164152393958144376534158589692881834900",
                "309908959421489320620298206756997009865",
                "37072894074673077742628701399024149507",
                "83477392463945582294512243709612406177",
                "329705405182668532188212607591480472988",
                "27299558105071331242858686398355383171",
                "335764157953066655440657217496157652750",
                "329090082677615662578034561538978780056",
                "41708354669945007638184775550890835319",
                "209010491589379089136821892212357719230",
                "76839764577266191060193216923783069039",
                "80450505035274200512101723328801765766",
                "49963445080861539670945320620131653475",
                "109627637433549602158796661221724844976",
                "45126594745213420623539433410722946392",
                "290623726232331734084019871483237936878",
                "3378613300411866718528237290636536307",
                "15310282227426804640220724177410331156",
                "132526111488923018275358224444238723862",
                "308926397359055534411280540403920051386",
                "106724162886895108048039093823841630606",
                "220937571978988818044336333547462004494",
                "249270508820855215558644213967087508777",
                "113912920233214394713976816832053366552",
                "92034003816130026024500377831590150103",
                "1486190778953042396716905951628095700",
                "295223271869552952488464595918282520030",
                "307059286326235780122854172922773263130",
                "104201162195834822956249521329540346695",
                "106291520624018326759924421801975638398",
                "258123672776311124674717838417098267009",
                "2193630653206429261266993297519284764",
                "162531445409059582896468610108025197308",
                "30047122040002055339713330582987398457",
                "20125299023883843755218402289149405225",
                "218830001747802098967521524838337470826",
                "229863368111925176692297873243069687198",
                "16957279428912591941019071940700950988",
                "321178648834175356244793274546636381454",
                "120376938427510528582742439702452172458",
                "285904012100797499448370982358897541471",
                "146588224564153180792720613409724139978",
                "207895543612198650710668690231721592852",
                "109550789498534612071488265022252980349",
                "62324520106018836910295122825342656373",
                "81485883785533935784921897529951620005",
                "128557466108748093748374481252018195662",
                "290475752092825315137729311325185959038",
                "335345914106253652188019739261207695108",
                "275633822652922258693890070540294704733",
                "217194303955709106626570422466543078458",
                "117162703563518965171456589098872014503",
                "102635772744752295268959895540276717746",
                "114561834299684695206419470156866593993",
                "62733894227002213050751633154713092540",
                "331526764912807737454063244729911708692",
                "308253905950525901384674554920708940469",
                "81283984118006229681399416445964697381",
                "249507986106852504670195033550729885423",
                "98562795422505777649979783833200263114",
                "310110360466851330420052949206985974052",
                "56366975685067102804200200231620985039",
                "129414086036073475850177278669668059869",
                "332142835724075931199994787326304793109",
                "76540415842975931084827152998247683196",
                "93063535338142197755784537935472899875",
                "113771927133702694768127947230655576921",
                "120330763217854605920826956363486018925",
                "319753184844255311589796984867141838100",
                "37981309976015524241423107201857168176",
                "11490853697053964310469046372853309270",
                "179446870589029556644957385224770812195",
                "218022200176778431693969402134196977714",
                "285984339381717271483653126089539259784",
                "284062621253471685660390156843540012886",
                "191252955225856794867293915458182163208",
                "26926115290973280727409235104733770720",
                "43811640643625828573496982735951169365",
                "107495375980398106058272332970912886817",
                "331244014817108483172420405665837348037",
                "254164224541102177252533394474091042476",
                "48200761206894772672388597456737375877",
                "62827881085569120779271466074021754000",
                "94409755759980202051246732906326166722",
                "192046945684218990259375102092709645219",
                "285573311137938042354535640007877619877",
                "282369431079510453489679884141424727001",
                "43297264859619354121175554471709355402",
                "230526720459125683612420176359379317887",
                "75189638745686603870029643409378362068",
                "148379064587864990701503396847603835721",
                "8272863763517254187746449184207991559",
                "88420194898392652526482739301377326021",
                "55845502186800451946630696092057923504",
                "318667936521745898401603058739898335177",
                "281842572142415162695615216607483411043",
                "257312678014434209174395388865261105686",
                "306253187030335665732524042079129454273",
                "157295656666559941282603727146253098654",
                "38386198577126092911296334415452252292",
                "9504613810853092885523922191420422388",
                "274469747770863643701672728616480753466",
                "101876294985857613761540411278592705214",
                "135233223153090230898200138630745202499",
                "339706114683190776222937483472505315223",
                "160700290497595003290368515793327683098",
                "268323044815073503873303221916826376637",
                "94559467154831048609207474462888004426",
                "303848993711385775345733931162441490885",
                "323241352392061660555070890007334526814",
                "139775143519167419660462902731815188271",
                "5134764079792069625384789986846242649",
                "195411907031032286979752505171544012536",
                "255746096171775118889808724133535688823",
                "181920321417779061902608875378062426210",
                "225640380369833157346033993190871288328",
                "44885713409958843143632691833003066639",
                "332250450552093308965209605544206513068",
                "296893826445031911582620461965419168678",
                "206496974070673985894898453279337876424",
                "279386268908553410889686084080786500650",
                "272101475917968281454082569892897566638",
                "256704618307941057305638659525210117538",
                "93501819550161709703864413728330361379",
                "283926833393932482767617267582796906311",
                "125237843416590489136965649974201447569",
                "60868912439152863823137298900224778501",
                "115299936703989172065738174652989675527",
                "80421358511197011576476339276535168930",
                "310520615643172986138631008792810082528",
                "177430543066137664767273494352862808929",
                "205498338328641638988151635091331315524",
                "83216458613331679388328091859475913318",
                "160654396497854319835576687980863828248",
                "171670456985700312265735226460308827913",
                "174244680308617067642501027672924480251",
                "178802722161467072984283924066336034447",
                "2603987891469528457558568363110145100",
                "271792466569845870068980104193121157033",
                "8204266616829814793116051047293439331",
                "15457169213439386651048822939457464188",
                "158036507895862307655169012734088915932",
                "257236471862309468687609931735457441485",
                "29905747593585211600392273011350411165",
                "23952678469536308600521577825642093296",
                "70901029737706795741428231826313658389",
                "74699707950208549673886692236340592537",
                "197365593789801154412667986048263899574",
                "320501929353173562608421736684364319798",
                "147557936584292293921369935673208083451",
                "39239730158578235306891311838978225718",
                "103701514183147055926009494075996318868",
                "263790862614814444850898532813984332971",
                "241818179658051690904186529706396157664",
                "305324502438921696311821276509347312748",
                "295063042576729268870100440420432543119",
                "299244773910477923508369648696068974860",
                "331399928524214479461507982587857178359",
                "303003744038145122476120534269303597855",
                "137574459769373133068177862698427301100",
                "70474193773872577713625955483028841441",
                "47443185077612353145079008428213848652",
                "50678899878018472733517288871363219386",
                "62894824909538042732680631313668844818",
                "280175973463451003797991020186857526608",
                "276523719254707481367769441586630194536",
                "18067711479853261161468487561578546063",
                "307467005771790806065723573963622687590",
                "227547138276460558504040465086029570880",
                "70738324721401102244155304170437159006",
                "3386230908032890930314252194466827982",
                "90335237834603129752052785144133004815",
                "320803990573953077497323154861051006161",
                "211871894518739708494121910101923482374",
                "132628160833874337052156623122882707289",
                "317746007997693095298129651642778513425",
                "50687600107266149438110200967743346305",
                "130986865331395194535174301707242841272",
                "289732081592242180848466322881685819466",
                "93781450418697851045729726496820429835",
                "262087963800905548520929824359339812581",
                "123264430110442550717145276755345955993",
                "272909915540261869542146706035843001542",
                "268562903063928841346455199535292001081",
                "217930040302335886028419004077486614701",
                "265685586483129270478926914994411938322",
                "322213268608075901179012496583477482858",
                "253489304397503719911202675916464065259",
                "308191831264473133929378949602944982987",
                "221627843543444341470370243830708225439",
                "263866698579561829744401169567149325076",
                "162492797021776965551729487707026788573",
                "20442118274360994118670233202274266343",
                "113424131825498312191964068957050330941",
                "302535801901237104807000203132049474970",
                "198243280547051868070874452081731496929",
                "168038350977884547953292943912026682374",
                "226987307153713936329439521161761706075",
                "38129443534503889591498832711771927059",
                "46744545015538974177705075788462814855",
                "218975155480556793884476240636565079773",
                "96231658429091147105092838025873796240",
                "187384073281170810119719457245425764721",
                "311432110882000389128265856179419757769",
                "180384143615445361896598136162616482537",
                "166597894047793064971687507480583450235",
                "248805863943433006760055141484195389363",
                "119402504861174911109120919700673434393",
                "9541486673721715666063284519178605029",
                "21666089048208073297425640305695126360",
                "97652048509753048388126487189896503788",
                "106396119012361762597252126857984935014",
                "221644196937926992390819842112601150046",
                "243695245013750264114546953294276607930",
                "250102505621331848145943157138053848009",
                "50901847069121508507934590676565242422",
                "10954480135296878667893964153895567130",
                "129633629104481491710966216192012245963",
                "237869701362886736862748658459619085123",
                "230073364668441275794991629233617084992",
                "181084099350629264656781475067858836563",
                "190681566857817221860073350212167038939",
                "331079932808511366964314572026511125401",
                "102329397260622902615030716460160490830",
                "43089526764786372195652696346909811277",
                "295241678769437821871256863215247190477",
                "335381283259359008538956103203098378714",
                "335333405134161179607395021536390798852",
                "240078593704503415786932083462843703447",
                "169128680648428773429481722278202528762",
                "167015012820732563783324472216517417041",
                "162443525649685755755196824387616407457",
                "160981082324683940768009769875402753281",
                "83932052930825733065389712519150983010",
                "181795554046007254093146112842717267962",
                "79058177768106058640281874212083958439",
                "110290506213706765369423185920849971363",
                "282258098094046936619651933170353340506",
                "113862539998344939779900721036071011481",
                "80381590185166402482605679537059507993",
                "292872993691185398037817447771410324426",
                "172528862223987258818773794849730341181",
                "123372344868478741588959470181657980067",
                "29888795267975293369831394964101118588",
                "310509295990175549239235478620445554632",
                "242152158254828606246995237187014468719",
                "26001322962325247428454284627626067398",
                "19642060018228817237160141085173726907",
                "294306029317095417499850450616194596631",
                "98682652175457880552693660464525217545",
                "154352944503417733600374691071366300865",
                "235047261392760043188571365549902665939",
                "327203431906567731175093418343915225978",
                "279591015499668236540655764757445666088",
                "129593842350554722581068691359744753107",
                "132170829857491390522914804252679128983",
                "93886422423580600905705979968396361710",
                "299818578412121539174771964357877328801",
                "131746179224731834001812656287868987980",
                "78712416070881820183295557463708292777",
                "282189199254263027899918221883930837197",
                "230740242447366343281825827981793867225",
                "258394464676110050395499748366460603150",
                "61624532779552120572005337863541996169",
                "288772519857509669856830257412749638640",
                "40396634234734988602153037075265701161",
                "323264056859204237363821351227831047345",
                "199445390253511835103430164087103400538",
                "197292097897063101557930771561485352238",
                "97180944754254428090810869677585848417",
                "177770151616466769900998430061081198205",
                "147473592611272182015018377624974178036",
                "201621344265527214666146107981031485364",
                "209893365838282197661208898783820086807",
                "258465872702402982651658052078085106639",
                "194972303113840354229731131702831241290",
                "164783958145950497701306386523781500421",
                "171924851113049394836149820065949086531",
                "167284269612784721582276943001766067374",
                "328027023186245928355019317911468912830",
                "166396805764302084424880775868915332189",
                "336626215874682080397865207111167830606",
                "233313128143402015775918921584616642879",
                "79491527214960576500802704792685943846",
                "305142908428856149436137345428221923283",
                "312008443220752106324418326378517730015",
                "113905523452832965812817726386490714592",
                "69026511397857672855415818239212277756",
                "216137011144383218736601350895331204629",
                "76312158830161744341114919169312749523",
                "148273576417040197194875264859977441011",
                "215479926945110832683256107826361495442",
                "19095592346821989989428164960029278637",
                "187232137171228568452970088493173682569",
                "14950135320283149027989186333964310293",
                "131519807077574902939846086191075426461",
                "246646000723998877284381090554431845905",
                "221472069319325628625472880636177976060",
                "187578856485008940125558838686278258640",
                "37010102814525781633735416046304727826",
                "334308305692541137103726875050983228116",
                "60412120259958238393554291472696078334",
                "113023033986379806342414582985667728505",
                "116902242047713017014860546751889970794",
                "138090444918062105513806353660976625732",
                "70740423575265712510591189131025342460",
                "235440801181219263815002183271357534845",
                "325459921433149513987757147951430968350",
                "137091619799959905983786513972002343135",
                "87494410619622023357619865612483560156",
                "72536926917281817606184943053042675883",
                "250626422455842637847689489392428111747",
                "216345668111867102176559629802587642115",
                "100570917758338512470197579882787840813",
                "276037104051975354807001625774811108012",
                "247351931619824959984350714009513053372",
                "121209786304277805295576893662305755978",
                "99684369893006335393972012333622235607",
                "327829586787279694600597334436330664307",
                "247760031805923479640350983150361715378",
                "129082441967171199405881823344778769963",
                "74554602305219577973209318258951126741",
                "139082204560339787210944536995812924448",
                "293534052105508371913007585553828249866",
                "339810901117935139674280744220696774671",
                "337248943855482558474137268387613383823",
                "43980271571697942007840858823367714924",
                "290999174136426479000954291892733421284",
                "180882106564716233832157458194991781361",
                "138307882226928606764672604668928823850",
                "44422226975571898807909792003158692710",
                "239861418166238740928137236992365230438",
                "10018208360444110109868385807572700654",
                "223566313136068979522506128068309186891",
                "86725975981331323905672111086385560190",
                "146142892753610957568067151028858431328",
                "169844970268264420776551120308728611846",
                "313773799357144797140611452904476725716",
                "192295189611780755404200724891887128463",
                "217482921375598764139580442992008879253",
                "302324981976714145386859154390468932236",
                "76587584650727073480418847653603999108",
                "310170797574253182320236563732142515657",
                "299587793756899391063331573901887949968",
                "55507351530848882392973041134790088392",
                "265010062983318309836744514092813717600",
                "81983420252576160843650724685371960198",
                "177968082164478782300609004676839313101",
                "22072360582656104637473921635141463480",
                "146868994836610921066942985986523853483",
                "117023616889825227598410653303258493046",
                "226253251887088875668994419326480624813",
                "315738133364577750319285201130206911327",
                "89414360936553285671574574530847977616",
                "54791016349908342198585842504301350983",
                "138058947321834658372583901717210455409",
                "137582806341685714247041002509462594103",
                "11265070382330609012867352815509240755",
                "282540456969292765321884606615905752726",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "8721180651204100667315429857371246921",
                "289867924785462217947109317799573105162",
                "31915140489838329114207385283770263929",
                "7743957975825287943700766545942108897",
                "313841869683154375774376621800696744678",
                "10535312003248852117076186664406309905",
                "258216584037207471000944023236165725243",
                "227292184560416769029683574468177267245",
                "277148810235323124404695698455382197655",
                "218872809444161116137368154702910101210",
                "224550555083974007460946627518344991949",
                "227127478973271533405044975860190729227",
                "169653169386094530775864067075242869383",
                "106189455558573522556130212442703542355",
                "337870245346318225945463503390815997537",
                "223845459506773133822525705347573816941",
                "212595177717751880248216046043172945332",
                "129746514153058088348995692005629568910",
                "186323206592207730657988393498409548036",
                "57117963595155776632466692639000282778",
                "15174880430914620597704632913065448508",
                "175740319800766340647166180551164094817",
                "312047254604737854698850749821765964145",
                "316683254722376336907919812111593007719",
                "119602725435927859764922783603568731619",
                "161475133408816330510594484753958152014",
                "240813882592971442308547396818050505677",
                "32830801480024609524212286193213290857",
                "231168152494156522947412466670550418154",
                "112188521250995076342491567128194948155",
                "144688365505626836889813057596829396485",
                "311944831182200996741738144838500418085",
                "74393954381833189103223871793747684213",
                "111488240777160491525506062734515663817",
                "220146821628406817275432122227888959240",
                "13166126100216305804069500170917028009",
                "283592568339596224459895592664356476778",
                "27668887000619597987166831261632613400",
                "244733005040626395214524341284740643255",
                "12375566305609464802992920752760552564",
                "71531081298815619561635610153151754150",
                "281065582018844425679890629422273148248",
                "168242664570745084761438242605783471714",
                "34695447307038081897156185822904399151",
                "224591665047469202797089127519984486386",
                "102656177659957709985928219486838961484",
                "115257337762810397876043387244840125060",
                "260337374083412464988041145044660035698",
                "319903504522726384996613157027470956804",
                "190023930054644123415373682711043853728",
                "12683989098686950903283926006549313115",
                "138496254939814299879739518780685579941",
                "194208453814406893441705720381567778417",
                "70323217755088927087813644855168168807",
                "206413027839832728260437872926431056166",
                "302152008800765311056813522466323092182",
                "255275093939675429347203368969556210798",
                "174952737940998995545692588294176490935",
                "98372376204233501574669401213829991618",
                "41074289431987229782503920884300756006",
                "94332268419552237243503709467588997941",
                "283512922956848357544552882768908116726",
                "137861566373960441888304514845090577934",
                "307969559688805515674107228171641161976",
                "142934198717881502172437665430629005578",
                "254410548790579927431651199609350451284",
                "270632253010549120828868412101973908935",
                "19454825319809422946918949834972481617",
                "24212760411432696682676469188202966712",
                "335672345984988130761261767531833072906",
                "41592432701109309348258179102457174697",
                "48534252657399842295346027344137118136",
                "309750637029129296837293062398015593182",
                "101921133414279640384903218672777417371",
                "254763052067055122772888334010639002143",
                "108672423546671059284925985799673389866",
                "161068685438797742751184657422894217599",
                "230652785162890351465253448610742794872",
                "202577276134230406143083728343632658537",
                "277820202990883775408156146388688793558",
                "42483915730698963954356985002920280492",
                "86090791170027340952883683903104250733",
                "288100331240772318645087335397262906392",
                "103439902214865993348753204597322373458",
                "333637804318422291362725773273393089932",
                "303032918773233877840779627964148814962",
                "21933388123632780911234921113951935570",
                "143391046987270609101803243802282451521",
                "92275759277564707475205118537026487167",
                "33842925779293981415829839991000053751",
                "309959512797508382447289976179287414389",
                "266883566078246374105145312841177576676",
                "120427661245682972631759036357740849281",
                "274430954086720257457847951888674196245",
                "243007078830708603735702701332376974533",
                "231603524499976560660594664155488592161",
                "16778956361287776868653025860113691071",
                "214229500230465975386272630849324183382",
                "189123035455102744918851798372080334402",
                "203568482472698444112462343090864929728",
                "29731947747772144534170416604624380948",
                "291894488404930111144050285205733301090",
                "289122236707562781746933894203983888063",
                "92844643141245927388050196779254495731",
                "46877271436529958433423411836237133679",
                "249577571960317342979894163410109068905",
                "312016333423398745652338243677633720622",
                "298534195450628018248079589411356226058",
                "121398562339029921141997830040545689331",
                "264734202497094599919237159276668724454",
                "83181649909817081358999886339452869254",
                "147102224228811095888450337092555638194",
                "312560184401530011425080061706693208431",
                "54080051763435367644005909166412599844",
                "240410660628288760001360972147348127593",
                "213094359206544343772514357230349600259",
                "137802760012615839700692415696421752779",
                "111723837723157246332706154733186281049",
                "94681251612835901065381620598714391641",
                "82534318939736711053672942990607011939",
                "196123619631135361335663426979427045675",
                "103654384502396830057236622353205346932",
                "335076801122055362457988534126240240089",
                "88786283340090960239945442891424722658",
                "325825597872018910366720504825202270102",
                "292081429825237060139951047952375325864",
                "164914140344331378997512430883506514922",
                "325416157342235879468801576471660015267",
                "157579650886166706925218932026151553319",
                "79881655076190634741061142986279149730",
                "182005891538763914771458477695993598441",
                "93447761994708917984890632145013791297",
                "44921041203831844825345782741597165992",
                "76329520123801952619460417451204655678",
                "159885000362849812456641865035601556173",
                "308485710258339607805264257887241936420",
                "233820989849147760775341635444179648316",
                "293510524872010319015922277072933265676",
                "141137942218638711417171631348956182016",
                "147961599676921813452868894036110824253",
                "179068124426051707394280749277652617305",
                "309795614125272189292346223464155072181",
                "43930546713711789404826319498730428307",
                "69208670019164070226421484378066933607",
                "310782500164043667828432226006485171018",
                "159543540108064722587926700910224203782",
                "217589078494040631860274786793160394057",
                "38714261872404482522061564420007586394",
                "250266999244042996491272939577275181348",
                "56150489670078785328749604088940596894",
                "127390428395636516549034018699425760352",
                "270742185948491176965996694543546906511",
                "194094360437723605264409764210910943348",
                "278443321824942448917430019287265837333",
                "48248489131641776660450586491488897603",
                "131234559846844721027842801067975435748",
                "142992508210747695633827670639793218244",
                "216516940628379178616525080381754847502",
                "243612295672765777344525159646345161636",
                "69286499556440109189370854082937357852",
                "33674634206041453302101712829764126702",
                "323965951733626516236713243586612351729",
                "34910289380018878000062529457541745526",
                "128348389065293465685835542687643077741",
                "295883230243140818563427990025916899029",
                "68166283111431327968551245793236449003",
                "38458111473523382197664651469190280450",
                "307471394647730645841830857743895671484",
                "121463295310677741261552983420694459554",
                "245278366374200441773623284901095722498",
                "158515221409325723861769137436319490763",
                "25865652482614758630660328784261457723",
                "154768488897156337365644735312471834238",
                "223368070085169206938375794742765082738",
                "4617414294895371345426201631075164010",
                "184258462736061391724756223536402225737",
                "156444318442901404025209613295967536337",
                "83155228461600209706573348022178403879",
                "190007500173669390179418480785997200751",
                "12681012476683721583969413873300929549",
                "38300164305502584757511536521645519620",
                "14695341871164991973802655320640216111",
                "184683638367847853630070352744901987767",
                "34151677585454217204156183183700061367",
                "208331726102749736123215088497028336397",
                "178311912400811931278363239655182224708",
                "303263041940258439123351760465835805030",
                "94586713309803294725943512271082177258",
                "336162480630366070944842024474348677268",
                "223963933128833337406661471588700234057",
                "148352907220248149453791285479080612348",
                "228219165831939302704830442511328026813",
                "3573182135553334250801576646725325561",
                "223488647717937623160637033552456758067",
                "229670197213857499126983326117778947719",
                "154567998676625647266989747244152267195",
                "62262391627677396278437837583475880850",
                "310754849182163235562897390100311132361",
                "159491840551171764239548564428238466894",
                "83868930298488633294630526304236380396",
                "176438591561274832836948871142170865694",
                "311464566804986909080147092622676238461",
                "66805512390547835159238826962384753978",
                "171800865534686602393903063226377388830",
                "144178655118204920701417721830122538107",
                "48766594819838609608323673399955556410",
                "289909497902159376378818717809304757709",
                "137568245088057358694367912924254587689",
                "127834090620590439662371489586511726829",
                "218758081050448692174928609340918217886",
                "62458132003875801856163503713173587290",
                "44908730603075274776689200206638694241",
                "235784831851048808436726046049982660933",
                "257310102330356340644920001536002707927",
                "338624316347225475075194571618004721337",
                "223866117339646488354054338021868143994",
                "37236237716851726563621660926751261955",
                "277446385494295198637235787951754717124",
                "319028130537924889492060499033286922672",
                "80152407708945646384409689339162788367",
                "100823423327667563639682296209441367361",
                "81315457921057228257467995800243662174",
                "329740320322835590152689463967819999008",
                "44614313702008167157276810693028145234",
                "19578030703483792071766669746417337461",
                "126581810386181675639082767550171765494",
                "21384673850473187495664259088593602744",
                "146056162620500324709833493416809473539",
                "107648415582733128023515783100786301488",
                "227377335732853863508628034762753675619",
                "311443073450894560512780557312962806626",
                "17491067019750977816062819734887371918",
                "56716430980857266979881715159390356149",
                "121682998761069597675060085304043493061",
                "67971356520829055205590277916894647971",
                "47036715221162609277433730415030790584",
                "273726084465433158321143577076354849255",
                "110746430048586154708840204068775357196",
                "291903031861526592186630840552778980748",
                "318860400292845460871038308822166789529",
                "14083019893023761736561119138313155100",
                "80370530857855145691009452140872003708",
                "218528324289289687248529752312304911402",
                "190245428964140581685134229375360602812",
                "164892170939569535157159622020375534657",
                "96094400326289343922978379847497933354",
                "119380708720605084860344034874299243520",
                "296721678075119172548337275065189593263",
                "327013436738606830130070102266374615571",
                "158246699794467685580350028570537876342",
                "13318518731877251477307173884225109756",
                "156337612492536308352324085016968870644",
                "51909026291908510528708388839852500555",
                "325272975504169499851265536554298773242",
                "39330548764536893765331910818812969875",
                "78061248860024901110836239829237324122",
                "23589462433082377015453749158136549355",
                "14923731141954953279146830343658417867",
                "335688079429818733644837701910825302600",
                "210376859121863469077910626522276897820",
                "262652654699825955662114458252684056605",
                "121967639987823321855883074773433208734",
                "66354349846999956335166987426483696017",
                "114161493603460703675742371343592152576",
                "93138425816211083325048960773819288134",
                "276108216068025084803083578791453154184",
                "290434534376969837715161386329300553448",
                "247714790443864214021809869630883663501",
                "310786934769891252850176475101858392734",
                "207965566089473416455720658429666253074",
                "171987881517896337710660960823203077161",
                "106188267022034727661618988171854579039",
                "5817895320178005716068659257921287775",
                "121615378836273786897865165275173445156",
                "6023258262332249300075242236804583739",
                "333991124065538645303096394844477845265",
                "50298948181261810737428083064657753443",
                "61429819233392377371650100327274744489",
                "185655331324855886675167048269595119099",
                "128716749799515311369334957077742755027",
                "7600323253872846599554285723053419639",
                "172322987026682528323071680133202761130",
                "64964706347717297566733869727810968593",
                "164020168780025474970921435745501428025",
                "189183907630657584076154707422344153841",
                "329035899922835285637765740402122812320",
                "106393559164880815573874678264164639220",
                "136183247061044675107521067462601391666",
                "163899616836525414259027786345576391859",
                "91581210773411018701372701852598480191",
                "260881324649968437435436692517747676133",
                "9613985894190603817746050263003154119",
                "47772467378246248734055692230389638788",
                "297746521497574501570266062051675247983",
                "211555821608324912474951236530212507315",
                "3970715042007336762697577828361859793",
                "255379384724793067677460352326736510645",
                "31268457343749829927942737833911632550",
                "157136398400275006574175056406002830849",
                "320507691357168325703456229572212928991",
                "339193940029507223534991463061669719902",
                "149471149355028950678259673665734763561",
                "113462568165503545828640797151202094356",
                "16430530148786102952974056687957137609",
                "277692086911207418844851175624410042800",
                "162913959540631764926006139930249570879",
                "179776969916905841259434789648297146299",
                "249156789837877495264540466269704240355",
                "255086187005334129733705332073543186461",
                "115590942990902220608180104098790434763",
                "71735464399540536267733924388346517328",
                "148429146559295394827971661022552211561",
                "130427707825818130865857505990020345386",
                "275448714990937160295611233644730871238",
                "31912739861383864988259040515050481244",
                "68358588286427558048324588261836317848",
                "280432277228214555043130051602529365466",
                "175256708890473134812060889641452635719",
                "122012934047011658110711060230257939319",
                "219020844545610402558111725486903617815",
                "165500598378695930441402380480211466231",
                "142076782192272118776182610068222100465",
                "86876218195122971216663311901442614412",
                "210594265688846587053206317379981718090",
                "113314537328871509303996983919744571793",
                "129293743506593408968063996691288934485",
                "248395654860744370237801326344950497342",
                "24916910272140562123303483533476561449",
                "39493758556105761874415158297519056160",
                "204519746192192574379514164167335666777",
                "147322996554205575220890627889786688104",
                "111779592777536571072680012933495175535",
                "90980196356998563328418329826299249124",
                "247512742303234725734264446476740232140",
                "328650476510818200380690830048391154437",
                "150932943794589768055651936442288917486",
                "72850085466174873828783110758199255237",
                "320558869165688066387828724665803356755",
                "304356276573667715134215348587440177724",
                "308922939444644750837808180395854967182",
                "220979828611461636208938497757696392480",
                "84165664572648078369657176718431189873",
                "293773554323707316113396025532080498250",
                "131810780724296219888490502398254316817",
                "30689870049516884279940213895657406884",
                "221548503080094008453539999928041078653",
                "122028205992017322899723371000150621329",
                "179139598911216457931364557715038953488",
                "198707649404746740358201576875323486131",
                "297648364749073115399562290711979860563",
                "129194129475668008989844597869618281347",
                "76915218985361773186705175352032253302",
                "234830481619902322879407242373200144146",
                "193121953963288203091229448254489802761",
                "315532403383543972911694028324968678991",
                "244886726608543282809762817724158787211",
                "145207525341028568950478850759402064640",
                "234297422362633203384232102471245620599",
                "242146502066021297852787075478328280149",
                "330452107919018309492398417877986765615",
                "290900793533238108083873899502050001344",
                "292430872817441342843317643705875557776",
                "156945563445602410087543273994975616398",
                "170153635702130912228743963869735781775",
                "145104330915200261953764786863693523567",
                "220634129410633294797581468365132175757",
                "125174960967569449410212646424346081684",
                "92328110547215394442567499961927939245",
                "133480199996305249861396875923607400389",
                "175930388702592576874415838622381955492",
                "287649239577955536011141741003225414690",
                "175641582381184409866351155253056540016",
                "71367210616046384245199183105074082639",
                "258818765156161520877454793862983046673",
                "286204708746234868695316391131300840343",
                "254134436456559715747741145506816765851",
                "182573101515194202430175397302277399091",
                "79315683382258197429987145841423113607",
                "149831895781536676765294362098055880451",
                "141976953144186825627720405774831793356",
                "193290806518701872017418367732179793216",
                "210803001377814857774280202537500479971",
                "266309693601355943158827363840417368107",
                "102939948985115865198983707046469580115",
                "318670303320604436837330840449624395161",
                "13683281248488617543594435477413975683",
                "158474443749513695879110000138946388305",
                "55690448150727236076633688808311726302",
                "83224697084199920901814622555792496830",
                "114108396316447384163858485197191301079",
                "155403331985517325480974718472068810674",
                "87771857419440262640678553833945241227",
                "150786205326948990551925095898591450100",
                "7584251200017295630891326640879014857",
                "154018190593947542593816050826343197473",
                "20914705933410073623871821312205453843",
                "225575576060788674854934677683973868940",
                "61409071830060318999559892669195364931",
                "319582210378008322477945896524951668104",
                "162871416009261654683477771455283469019",
                "737055522845877333559640326810678593",
                "324909524065569933211315911190618997678",
                "336131604834233428047919263555052906777",
                "256109641688541175625102724285219497766",
                "110525265394429342077192490352046729114",
                "34364516263900145208263210672909235014",
                "213691690854861443931040378863983843614",
                "13739342901872315078043796212526242310",
                "91592388783005182852687984626095441607",
                "9280507573239531621202810648980790812",
                "39738767190458385855457461385913071276",
                "19305755679510628994160928743571561995",
                "234212760456035104485112140001542450251",
                "8799402021681227442080635636001805742",
                "51806085652088051416648277815507926463",
                "3204260475617932704781611328583642807",
                "221060446589832475472140746857462588747",
                "114861492960466628678045913456931545021",
                "268896647401439088256067046008431586695",
                "67208509615123400556577586907177455809",
                "72722475297666682621852745764179866165",
                "152574620836561761479876065910511017328",
                "326733237153707877833197850158412441127",
                "102318923015450400217576160975374576430",
                "192238386977097637311317210345486152077",
                "319434989249385869135382845342500211768",
                "52632014137877694228083616371989236970",
                "218205245166425063414968813663389973591",
                "236832967240387297652753277387003971055",
                "302783058867811095882570257707147165571",
                "64724945135514876780787723937721901455",
                "179107751987122311621229305196435230957",
                "101930473017943065905210480094776613782",
                "191274025968091592639753236818187935766",
                "244252506439596015706879389852422580193",
                "13287301369002178279835161993197931949",
                "69213644230968825839103685681001825091",
                "256808583586471375974408822784825093901",
                "1160690919821884321356224038676949556",
                "248141007754089637045442615878945152084",
                "145522234909260020874407383616680815233",
                "49666842032178386959542951888903378884",
                "252163122111467362533210584420325769573",
                "16997099979640754249252158815004313305",
                "320312745799776312744413218328974731420",
                "31061028637768004020098654685435159448",
                "50653095594514252520158225220878631169",
                "267176273536063135632451023946624623429",
                "214292815399867945889587179881813113644",
                "125822459976451642901095859506919871717",
                "124918766165086358322186281945597528000",
                "59150633470989280590608546864604249258",
                "277063180695096830052997358641836784126",
                "112796157577347130422250454894036924166",
                "55445816354275045547413192873527483772",
                "320326201727988189389303929399270043483",
                "260890581775783781115113856022627358732",
                "4441747012811487054310441359956164757",
                "326006465954639680582500422048310434562",
                "92760290351738273087424869374872340623",
                "103160982625213284843079240122070199231",
                "193402054077011727555899886410218540998",
                "177824339508876094252166282399596557935",
                "256556336110109788615838288744898147185",
                "329648805809075490439457770962798207002",
                "109104181349434472870169700381256780285",
                "38009111099119000434297853633936206832",
                "246931582253860555385653502633538537675",
                "162481349504887055462220661956490774877",
                "208825723403164977834706369587159070628",
                "87934201154680074159898172797553101277",
                "193426457081098506314627749960415612773",
                "245449037296017805823508683845568759174",
                "97503899901924575383742386684506303757",
                "88243679459430667328674073272411346292",
                "188566670919649606546628341610997658747",
                "57529441281582737236849741816180911061",
                "298519996391326675971219778141248537708",
                "161136667925431375599728563274335595995",
                "288573434938249238930761100458480321351",
                "126078177035179591293323555486570563404",
                "282951265842797630429818246328417635338",
                "284225803631826713726109663744195970473",
                "40451910893067643649149146437080294880",
                "42075893239840685779340579218574115717",
                "67988093763549521569668793629705599411",
                "58192508235206937756737298753257354117",
                "316325193464086662272554405368193489098",
                "65512821623465752341870519409784020551",
                "315881511834993909761860082959069770363",
                "51644093819087314798579275733219290603",
                "22563255304714440147766714234755942690",
                "10822983146698691088756795080559907914",
                "205512465191893221062463964882041304795",
                "256502812434865736813607257371738008454",
                "226356696463690805092442151762010625645",
                "19677119397549344281674573383154176813",
                "135453239819925330325633237105104404326",
                "96735068098233855825234406088195947946",
                "182430793342131141863976816408050109423",
                "38422163285022112294478991375098100961",
                "116993753086822904637759927826177889704",
                "126627642676296559365756007859411529840",
                "117197554905381885511407276343050502042",
                "302379508179491927492800582608180274281",
                "228192299925089480903606611985619330457",
                "166944157818241056267459053281457861117",
                "252124394330152630409187565206988550141",
                "103603274213731499898599143116793606576",
                "302108892218398890987667291319518618860",
                "160971668871828875398925592097434893151",
                "328830134925442372619452688863849098557",
                "92577265650671417937439935067133917845",
                "187958477867674069396602984136619204967",
                "172275616630029613053966170459990579572",
                "126408056854391064636445109344855274804",
                "193905973355490120524303723893629995978",
                "285098257180031296132973043958211649245",
                "200468737865281958579812096334830946740",
                "300160588261094744696611520699046153519",
                "160350578869699725158476556585993253475",
                "314695610218206485282480385925115094362",
                "84826845680813821472972131757428793565",
                "118820251693038052320380576292609741197",
                "15655804151874089239948909060296463409",
                "186491479652055596636627479429511306670",
                "265274844404038276946740099243634160626",
                "265460320317203813502476957541748228051",
                "85810254649021352087127221343702260861",
                "169264787730083613236772142968428970539",
                "65722361308443277804914833370024516572",
                "257327733247337974566528347668261882548",
                "257343558162291741958433768675973466471",
                "115521046627922712784241099786340981723",
                "269780979485907782337766631593714533478",
                "221395794254345786389151354433088296714",
                "269655140610612624135746373864490361260",
                "211122197762239330201509079067079432591",
                "236649484267422320129440592015039379388",
                "207736559081160503127446248117493643762",
                "44854350663971512046265459802402741919",
                "110540591022950805840679878602955511756",
                "194269710486654532216458797805483366282",
                "178344725996471414018269966633187878472",
                "304745556007768641079512353940697543148",
                "268493218860930890772400126695222663641",
                "73708416616070587682476543573583161575",
                "255284697789506312639429897866606058104",
                "132888011390686625344898786470167119079",
                "96917179273891946886864392840366762544",
                "141541120503852422060966691526744742377",
                "213918024983541170372916896378022544780",
                "221976775565345250277032501477430112345",
                "106349985371422171030354574092685930105",
                "325428666611018779083456049598644032722",
                "323603834979597486690551385111745329979",
                "134740404742977765884001289114829503776",
                "3954985439484123915037239811169760185",
                "64268430373940756282353598735685462705",
                "58575878614649137282643253328553084711",
                "181851077217124522763584450126380208500",
                "165500993611420805544774204361912162481",
                "170015468503693492522139267636125646619",
                "209846670963814020321599079497438349922",
                "265757299010665619826044882886005768593",
                "266371587508567606191508711200628865632",
                "219064158111115709384533719034948699352",
                "311463931381003226530173528219662086851",
                "119131235900975767701367948376635934815",
                "83314460733032675769061484163070025291",
                "266601746903529676712789046433874760479",
                "33054433747072943214221345422176053027",
                "60887343511034150052062136727327070470",
                "132698818265344146040287561123823591141",
                "86554740137738189854166986545652169709",
                "202536550150545359357674400204900631146",
                "176447497226678537892649482733271547966",
                "51183806825125990787164689183627228336",
                "177737768365721161536011777703143822990",
                "200827769629183057340753200670117782754",
                "188324043033503729508365416869921949617",
                "112371895720641884944902466164141422989",
                "147355214646301208931059678186995870369",
                "162014758047076646324970333840564418576",
                "247946955333544891687128712349396033484",
                "72276653665725878295229483432677874263",
                "250615760254151787989609676930701899464",
                "10264686840153312234697591367936238398",
                "241844516575304761062610190982176200226",
                "117224817940996183508925395651353843703",
                "190992731176187240337663208809738399525",
                "10829702728674724310024545078144047320",
                "33006341221445899625001132642687663634",
                "85823693547821227981819961136979944325",
                "34169966903893654056957581758443635025",
                "122186768372912503943702592371155750720",
                "48402726625995289541653558480873538105",
                "134180040574436311346879902091849404388",
                "258294626107711427896950201200776345656",
                "184579696988728841184871583753524094161",
                "116296243794555798382371607540586553019",
                "289074781117311369967608249320857683816",
                "294618638185150781329749560745854890355",
                "317487647569897132137412095951680315883",
                "331569985358742358590285412963554773262",
                "1594662436164856512598267794944896722",
                "278905471907813711680147633821294696941",
                "8226871381950031509626806074250612879",
                "310915844973726505840030066182694397664",
                "22584155863317987929368368586366794625",
                "97253024165262279137877158112842928673",
                "213412829117956587571320231334957837597",
                "47661912644915751994405458496484644331",
                "109221668865032966174524730906483036982",
                "201476274049723674236607986061074587804",
                "73799064362095107521434932604456573680",
                "241171975020064117562371949175841049570",
                "585389051740155191847751431793512298",
                "202375181512829960336443560825018953814",
                "165931799473044710256186474144905142342",
                "270122998453236064422833378419351432237",
                "237597673154077533462993294503151072720",
                "23544219481614834313963180768296615373",
                "277228149826617988702374779382475915014",
                "56586753816327792698359413124080267326",
                "146112954192769105810087682032319726376",
                "35198201116289888397067316207261808519",
                "104176991740188846784500611842553500194",
                "327260235630463453391640628061501157791",
                "96666525123433876873616619117907172416",
                "78806042323979965819466595957948758288",
                "115529239866406535539853464219208065134",
                "81721932636931675071981168189892132243",
                "245164203742694393335800483691956282458",
                "281162525163446571975547092024742234981",
                "230392455439537342893043584985664173396",
                "141131874203302890873704899755217874376",
                "63535748547117386637677314162493733853",
                "290206614978069101503532454776161798202",
                "127111349474733147174265828018584848314",
                "88704584621126990497752191517069091011",
                "92020705954532806801149503961172814476",
                "97587203720387537198371321187859113970",
                "130208114142246923473613065052031640032",
                "274387548651525580873663029311020963264",
                "249335695598439195036416827149877588667",
                "310342579830924766788508267032263145392",
                "54313378690648757746841613622409408939",
                "279091241272766396910952000860067319105",
                "78521407143191071244084565512015234174",
                "4458503171475346881779996275406246367",
                "69566910197115683046612944277172550432",
                "206878518583989832345393834771238794987",
                "43188593779572717522706091832914618887",
                "52712152671432075988656914833193976334",
                "329726219016537518855952194541225338292",
                "294401648128277409809615136099136991378",
                "97185157191872845165000640353557864483",
                "200151573285818774755046487556078841184",
                "65059667396039466386716375645745592075",
                "217863408145483975282571620678083675193",
                "332850057381960882832475112547123276395",
                "58324341863412547413550454560418632209",
                "289649650852724723400221087359487814276",
                "61876773156914016369524009715009754392",
                "129129285840108976418565488718518641503",
                "181487204159333831662071246636238375871",
                "264507814111291923857116484730240991965",
                "112526985773553764291348551351037119170",
                "233474394072569022092400327267478156115",
                "269503492757471877255500923936096230998",
                "209076867266191402848347227237039005396",
                "160770906853670921198027989242187283998",
                "308573010017422347577385052209672900251",
                "169095266443129593143493635983919793680",
                "160961469786363663984466171744231941751",
                "270134428401815141560259968558183216766",
                "329262989735148620429845699246116904838",
                "111840677503545517221941869214677597868",
                "17764053212845522256120808353365540818",
                "286496833048879925655490648291624165248",
                "304976438728897556997935333166756924634",
                "124489722382604512849159343520723250141",
                "27891064876753800297179538427145934546",
                "316692654348206773769151076984217813392",
                "27968627992091267502030854112480502444",
                "319021146988705327975898221337755587766",
                "321586480911144344661789355568502207503",
                "29471996999122865661217641069051832773",
                "269625887890517730741160023828154859511",
                "14461891067016698390056909526874605469",
                "1963284169463429744799348762736201939",
                "96181726150613780767237111899922521167",
                "207726275710200477350638649237935592633",
                "61119163934050434998201785417578574562",
                "80542703467444993776220800222324433275",
                "310338766502554878641879782735905838054",
                "181737152824640861983289147188175842189",
                "36287765506215595949360081691318038859",
                "194004601096610938909278985908669414364",
                "338574737705575426296711503023185249079",
                "317287178557465037756791765388337291442",
                "235921895008206063905959330908188386049",
                "302059521627269430684197402646921327723",
                "242060084661660524823164229623914931507",
                "5792149531485340842360937730981519378",
                "64998447674047548968696132424940027941",
                "233619972961463237170261666952106895124",
                "70526038706124739613416168390424160087",
                "285040798038866134484938339464996231364",
                "114997128187876902353388209957782877692",
                "88231181469588874026704515633897922086",
                "213480384106767387520229623181055574026",
                "294056262501533940300134812349519543596",
                "218470396939949185578693075948190943661",
                "92577623227112435735435818437186492678",
                "335018354814737470815598001568439778395",
                "134515307818567572240961162798174482256",
                "275052571185615979664223160953850288879",
                "167808293510627366718115028070521696342",
                "195190507614974411669104998069819825078",
                "266612694977424438401287617706533757212",
                "154318665039149678328942765213625232511",
                "197976239464338539991837158539016165572",
                "201429673477351779524619930406019944620",
                "113689043443884469943989839479073912916",
                "300680039867213684758589464605907143404",
                "235811656216341598860202832453037690265",
                "316264788500147884595256405623806297380",
                "331558211170157023092393890861512982458",
                "111237107250511906103680838051515412654",
                "179238211838737846448595960438135791205",
                "218680006014670531450761037804340944554",
                "255625223626558216292060071037920874285",
                "254371011334724104373080964008713954775",
                "337542822055620203160354625964641437368",
                "61909464345194323043090695365318009576",
                "286245093808569036374994512604871057749",
                "260837860039724915629565282909355195431",
                "275592801247394378036808822777494110178",
                "145050060603904838635385749073803966429",
                "160365457883714089513287433209457732578",
                "167041110708571641295454464576793302359",
                "59196015580952861019617924364219883648",
                "263677425138251424477056302623667961194",
                "289940660996943011832864455643740606431",
                "2927660384174494014672505263660032889",
                "193742959276933960252422350492232904394",
                "247064113324613159231230122527050948750",
                "19234576026637963707158249697315879832",
                "83384720915667883143798353198453211463",
                "286654323903461419082481105691582502892",
                "334413958542960172342399455231011291387",
                "101168143165461071833744852619006032705",
                "96906999180265065072687076047500703422",
                "84878857821787629421529685705741602312",
                "285029995990765379898830028223511129582",
                "336383757033027159771439399724929385422",
                "311617295511527190814691384739433137298",
                "293627830670252926058841560329561177522",
                "177273059265554366138877437089712139854",
                "274577585408999295874206137749456041027",
                "76057385090223244768256158274015567288",
                "298565680473196628671927762784930817473",
                "6067509380596780308163022199306339563",
                "211979458928961448366634507627302497315",
                "208168623132428277000128844167925267124",
                "72190220973609638774862286884506610649",
                "180361786100445975739758048576985367863",
                "270219136938747998511827196332088036641",
                "298699594894785649123115070249885236652",
                "291578186186855582812215992781456517230",
                "235970031405057645767322972707821177657",
                "26611165607804101880550539002328615161",
                "217900943187370625357853188119266259656",
                "84732059633730627645490473351121800305",
                "309180917264587373634183366817060716214",
                "106603302566009083955204269268983190218",
                "292194608808478884475635126405417049632",
                "7307068641125778183666589487594479973",
                "15973683999811237960674238153181891189",
                "93927924828355380583287636894518832220",
                "227289386863278381309290253855501419999",
                "38698243414789353460065999981946606225",
                "123734761025454826151256213901659704838",
                "184363841910620963597465720099525006082",
                "22497762136832430397408621614206908180",
                "203295734193882941311756798440441572917",
                "45795120538904304541593205051077234129",
                "246248306303708160423048147297675550790",
                "110902607514691391768784065427128933443",
                "244746889311079435396998572317222138916",
                "125170420746229899755078279358383282778",
                "109189189086789358602558830760985071912",
                "309698635240664424550258180810934882519",
                "158080910479927111578628681178377407944",
                "307875064157271347204772481156453694618",
                "182465529211696958573204196922677321427",
                "115097101885558867665511882679553688497",
                "205415271529100873388775115901419628833",
                "161427279281476849461283221699338611222",
                "8067738416470880554959950883564275257",
                "317067371960635112259351190908781901288",
                "319696145905401685875581756436109001838",
                "6048905939231902586358279941834616696",
                "234191261529783461387406074555927870743",
                "203238179702299195798598049373136444550",
                "239555825864301227337938979088229539693",
                "125604448928393017145095788660903240811",
                "234812305588574206448147678102660943403",
                "262381252003632108622700224949056837091",
                "180647961777347234519528138163954192638",
                "70524942795686903739600920796070562819",
                "291858264770923459670264537781588032048",
                "116578446331032555533914773110531572602",
                "69286567879073242502570436523494153207",
                "333288040707465744077169773639356327091",
                "231354873122291076244917114972071615635",
                "50854939773490578897633292564530266991",
                "230873932136875763683054974345605548373",
                "244945091262899912796439794732336566578",
                "167768549152850653531307338835293507311",
                "88933776563195293885893306674730459308",
                "288500541588585999486356297313913939829",
                "158311345694025808845055182860681911104",
                "268211870022320385113642090559789630883",
                "309551774866753191877402069034404536069",
                "197410705606216111679482885174004663342",
                "145663943814564653690948334191534634063",
                "42385091780644625506914227176968783565",
                "159615310202042075565875432934941415906",
                "19262490350961987717135866137034299326",
                "226511728069789660680448608746106099821",
                "165881705243212230240225095739299835219",
                "108836776023866917819133709603923541726",
                "115676952288774225955745322124920930303",
                "277025660796474062679081027200321196096",
                "64140890213781451672404502691241362528",
                "51825884312624995656053163454510143552",
                "97174140501891535636917710065858319",
                "163359655681925139580428631483630436948",
                "220561544829364384485480627210236647595",
                "110192770704313924563589762687413932316",
                "228819277543918391837776635748574977584",
                "243369848396274589164722426801435351684",
                "294447392378018248653356622354446253596",
                "133249742252015556108996377949643914526",
                "151974125717523859839333331357155712621",
                "131874417368130187587697551362380454086",
                "51975767391515328477240781624071656173",
                "19636413774705679651553440297084958883",
                "272119780374075571654741721955440652268",
                "102398697165395262480201244135608296485",
                "300530691030142207620759627185530161772",
                "106996695005438011947769120931893619491",
                "58354273532631142917703204204022526127",
                "199783244028081424965422984519120670253",
                "190591331403990936478089135467416339108",
                "42843417613958468068329444098413917964",
                "198388796120294962282210205709443358885",
                "41816989103037549470274991262762891671",
                "181834381415941496502978989717963868978",
                "33058358139732097636398833980843663639",
                "74848621255526899437299951346364413618",
                "138478834257618946048483156052378379690",
                "327396907125968699551102969599228261678",
                "293941295862472505596928993317603414548",
                "334175576687283459039909285508609663638",
                "82202999603860788280497702958745791793",
                "141035337221513792544558330118819877877",
                "134389663185394735535808106294420555429",
                "328533076540394553277086563006075610779",
                "175308740505337518761325031182771954676",
                "308079921911364477951365130059938278055",
                "239661779876904583332638268787761292772",
                "291142223261045897231863533120589370186",
                "47632099990841885085944459726281458105",
                "282716411308100695351335833153049101493",
                "100446015183364151607762241437899108120",
                "49067495653993503295952676440020724768",
                "132673436111965196918300429778212693648",
                "321667116910103589617174681734918834074",
                "48443683954423433568239358970256408476",
                "285206216251413238028015484349721012795",
                "16847338915369097623572951563364173984",
                "245466381240644644500754445782826244908",
                "268758535220616123621577472984246083980",
                "234162157677149870895641342511820517671",
                "237131523450034532480553130296236103350",
                "142575163807791159290149756412542563810",
                "279560297955964971647851449634374380611",
                "133249343008514382838391609564738855489",
                "25610864887395772447592715925797306076",
                "91463086056217020118346346602352839664",
                "261924556608121556251189388663807138077",
                "327080002508258401867030935622408024621",
                "83411931024677698721428715446889405567",
                "183626897030388752700344651658044395228",
                "173807580704890609831352471768194899177",
                "164652670475625424432067699294770735072",
                "220182463364416532400116615705644576717",
                "12595743719874292682624750769891728928",
                "293047244307290452883053624299281017695",
                "272190891020412126300553338569795742698",
                "313616273476322028970656478889407569477",
                "330573329826325592580834084057573932677",
                "141661881310480001508686729499207350493",
                "160205327728125339980863732674053880658",
                "99473025912123277160122760208343286986",
                "93472818083753174029448157601821286776",
                "187500370251441710692734155575501749187",
                "258277010266595257468621262603615429359",
                "288603939820573590733608451520418609200",
                "1786002333517353786354927920082734357",
                "220183863137385537702364483688922237735",
                "204994128891505594788413243483870655287",
                "281327303345178790682287740928729599630",
                "47750137623410838868390858764487603803",
                "224636659160602627446534120826647524217",
                "105283853948511332877413801274054524554",
                "225599470343835937298469201199652227685",
                "191741267790619721488369399601845330016",
                "175048609256966542942230852045465099900",
                "14998258325618128890674429063550320377",
                "205642863404244358706448779269755942474",
                "117511748760306482536528196752908316496",
                "61471539996785453895263023068256319752",
                "142331358746341960366898543776771420066",
                "74690544421947431785746970893535111842",
                "147770190917837956980229032249548095858",
                "256448344839494268158491246706171277969",
                "162466798003020973639846433142222062974",
                "267393362162700901825930795279351984351",
                "228390899421928074791723378645427743527",
                "272004233139169649263298631682513167669",
                "183340980094236629470924150444279293500",
                "314714041832802528323204641313558679497",
                "336077433291070646720365494679353915823",
                "114253475055630373489872706964756533834",
                "20279523078123711977423429315721099081",
                "11504964850839618552068067687218855442",
                "237773749342712237314381585391212180896",
                "120949595128451607641623035790717329843",
                "157270109993811646942180390843381488607",
                "116106179377241546866471267740017704789",
                "170663167680395449282353804473925421495",
                "104364463245143835489221228499908431037",
                "31368193786628730425020761024374187451",
                "131834300913979584109037422857301535016",
                "68518980040301969541422645298616973851",
                "106064442800047618841437662459948019305",
                "186294964471542931815784191819714234836",
                "284393414495565135753690732156324962592",
                "269573681801128178259715103824596137001",
                "51659794556827057095256726620325385559",
                "308718907833135163087329783822476152949",
                "293624794483255733764057283847583618979",
                "94941901627695225594645580811521295480",
                "149797531634295821336483724605937576719",
                "117712014229599383358442764760147932714",
                "330481872729542615909692766849557726258",
                "260794599734251803936216816907763803242",
                "147218789425844420191285826192615128423",
                "191966652976511037026707908401077176917",
                "230505826940362831439721472292714764206",
                "133810671444236181467896318751709499816",
                "165649576640278078897929004387623620860",
                "63936553860844907573107133136629369111",
                "70856290852756653436226017446561539779",
                "157112156244755845888616628241855261334",
                "119035583987619898591482403602570683848",
                "19397925913040064068288183014533117300",
                "222618994468141058607011090444358788354",
                "47828064863371007995170535054052184878",
                "131732458934408201068948880974342230102",
                "190248461785803461446656818426936712202",
                "319293477702198897510666266158061608114",
                "236002475109426452185183416683669679216",
                "238057827547863694744240798889581905242",
                "130053216378394119656180693136877291072",
                "220201766144449366179967764592266578076",
                "263137957209460487421418882470066544519",
                "91366958764956773770438005091860461181",
                "301653371320767567091166752846711501518",
                "285444119397063173490465567497563478828",
                "179393164599464764162602262054550939724",
                "277769590724335847395253444595329707011",
                "334152050618001629592897741172762072193",
                "165793303890311524012928479835624918163",
                "31009645826497797033053652897913525334",
                "226968460167368669990439489532367613256",
                "153788505318091204004733516804879606057",
                "207797467729766143477285168792050738761",
                "44130904039791293402769079264204256582",
                "95402437013474361807385097324489404508",
                "88572339683535557838988164116786998167",
                "120259599072765933011450416477316278815",
                "288730620904230682712170234194106023005",
                "8500913533478786148628183104705012931",
                "80070044155970058189240361607487225480",
                "250143891917460960238534957873311931817",
                "166260791667595624495049868983728190671",
                "97826938128869678267649194641831147959",
                "100460909671397077546691245650049484331",
                "330668984456164941767277144145079956693",
                "218825005412586693778495470552581139541",
                "15137361686959990747917508968136095934",
                "222689512315217128471714502661633452209",
                "5711408127962719223606984388802392195",
                "270222939143606216399439155917341191762",
                "83493499253844681388131690893506849788",
                "72310009950335575762050599966173180185",
                "44712610986475472998960438710958531771",
                "188576787993346116953449169704790572951",
                "279373670123351923957450888132582575720",
                "113053310229874157512650284925387348384",
                "376234254149619702064541230858569160",
                "22835524019071616863850820022164941599",
                "7605193613994828913560391976358663292",
                "324234767243722158770945213120047846083",
                "308388861304303814022492362047962439019",
                "25043583274084112876629947045128822167",
                "73689502655543533422329468650182309507",
                "14275136525168274027797324732480805366",
                "56551758655933736663211182375473615922",
                "206826229366797471513201847301086644261",
                "9244888268311723922847765095810420948",
                "169254697120867839433808022201244526285",
                "51179120928302942385401339542880606832",
                "224963027013204361086111098465513954418",
                "206776887431147518314409780374861077445",
                "158013512305575526642444429276396401007",
                "316294906954978975949213052973047752211",
                "116651218165468690637241788719543539870",
                "131386754765337791592518845171428610198",
                "271081293065855669538205217504604301118",
                "318733358475706070501560765855887579108",
                "189137385169723355784998256425629735834",
                "334327133981460041917944073363115120522",
                "169896259281512051370677788323276829516",
                "215775441795511086305432182451022448228",
                "16564375713504832099899246024755842928",
                "24683401821341701845331583948210578765",
                "198788681341921637525265825784134304992",
                "235250008070631825404902834788647057530",
                "20144356723325505720006007599982863883",
                "31235686671661691591212929009128618347",
                "120453198778813726590696883358737273891",
                "154462006675931828801171908208625571562",
                "175752752775689214759814828663666382123",
                "259655331008737360910019971364089851804",
                "146746054936569432335954634882599828199",
                "181314371365110651560060793740582278125",
                "88155618684432099455292292711465595208",
                "20984384421598061488553060469377136218",
                "159795750739028230107355194951881281716",
                "324946038741104352725948445065602300933",
                "162947542331389278874024090059035247043",
                "13552896951920262505366880407346191188",
                "218793989257127988695839387632826182107",
                "298955699135763819231952808447585679389",
                "281954722661473140708545317668363336461",
                "46178752020355176342655080355402504421",
                "78431689141294814958649772513313016604",
                "228973196369178754776534966457008651018",
                "13665212055408270091483200854623874339",
                "89440252882200380603794885683066382416",
                "283904480717440627232435205363963523980",
                "5050455415295295138066409720735380628",
                "78646043541373257053735859798900101138",
                "304290099402280261453270827174313366284",
                "262738867345370063834447680180330328957",
                "167606308878793385499691240217720623652",
                "9854616190902943220516031034359644951",
                "324275496247759352458859369252407468314",
                "42721433604943688305675259611307607601",
                "10855538705336033572182018913966914139",
                "263734663230847100637670703862137144530",
                "278215609611539940543811539283016707704",
                "272283920031837624783005693063127332195",
                "252619471934661565058119378267435427159",
                "279296843753664328837079821815575424377",
                "9918551436228976218620215229679017616",
                "40371814798666584453591947562149451505",
                "111675682614353218125746399643799777450",
                "201789634178581779271887147342957060287",
                "238343244810408765271633632781648354561",
                "254370126510028028010303737167383563893",
                "179747545355468196731896193097804847317",
                "72711650894669864295088837792719908912",
                "87739311333331113777504674950466864977",
                "51440568347006186744975557865324548585",
                "112972951809926669778378859349122922373",
                "119645137390101051900725777083038815436",
                "42666666160921741335389810007887102591",
                "267045345812993620823940267708766898631",
                "117114783155836902980420748260391058183",
                "248853932001814696164915805880785987409",
                "233096993456147165688576583249405319643",
                "168937337920547798895350792077082924322",
                "104337031226455209063754839939535294642",
                "326838294218647582765803384237877886811",
                "88805997990760060005823748802870210173",
                "114615286044784455657371630122980038327",
                "305464600683497139183083667656634644006",
                "257444376548573228734730244249415368102",
                "205536571848209802271040594626797539667",
                "203027840822040200181840529619189349487",
                "246635745011024264725528231523962625429",
                "178021861405000916804682189505316166874",
                "267643147611795103585083029991510454116",
                "40734436340274402949660947745883685879",
                "186922573623745962851485575152199164515",
                "268742891003119858061851855771384216057",
                "62182135383601997006900736816496462145",
                "202817549018169588810360978024357772085",
                "200459115319698800139174114478699261742",
                "11138461636879350602407553422049775742",
                "299931333521446801190213977681958764928",
                "72033230827596033530029274650001188800",
                "186730197971208287168886940140851949303",
                "16712913943774087128861723447919914468",
                "31513061960571509241841940530014357627",
                "87657895483548175468295914254768595640",
                "238924261985777691690861759656201099751",
                "328909844224111155107478258294918313860",
                "102502606210702338119716522353307447663",
                "176417091093103713897645376130523197522",
                "300875188358409480852677832860160280189",
                "76048327422394451179773515884415424723",
                "200194474034011606283058702816067239764",
                "187770208556739180750103410520225862258",
                "110256991445643871800983970928742679242",
                "14609483771357227832123698361941380637",
                "140279492252831249949866792272181290388",
                "293323705937491315219981225348211616221",
                "220607797532815641317812574950819469264",
                "105880784396950905168322630859185157544",
                "239954700808184991957702823337966602292",
                "276986126573585367773847835676747556969",
                "89305221799295651792703743345111086223",
                "178056090979066771179649152196019574506",
                "19407883543403322806793449566063916420",
                "25045658404706205233104257428361562437",
                "116957057141929404022606983430025009462",
                "41731006997998912153048281300670753806",
                "76510458458688518102063753753014639826",
                "169303060243171409105153156198731803030",
                "111923408227821013746046842560551412239",
                "27588996656201992581603111024819626746",
                "23556414546655810788756961532430818599",
                "203154776042676594540836314538521877052",
                "37668635866964969707951999572821004659",
                "286082537467898883821277474018559924639",
                "130486948018418649309683700554919585875",
                "138194672578406768838350638616096506117",
                "280055397225862934647958475328597980391",
                "160736640684321022602446352853878312600",
                "204117661274545631606599882348950890955",
                "275164668948757674234937052593530665344",
                "123575644358357679017517338235324127299",
                "54196922973215969824147978356583296407",
                "11675692715120043152680579984419946499",
                "115397415556268433805632049139355444662",
                "298593885549923018500219287873203760174",
                "29557413562795686376900008605300882251",
                "310649016564489802229674633433642564660",
                "217409209995136820115075252885143268666",
                "242601596032603954833556361721565589025",
                "278701118341184463712083930292510379850",
                "47607798723368999832175400583651114652",
                "283542230877055453384472800889055854325",
                "6942373752965323650051669932137336490",
                "1823700081928784109244739498943717846",
                "104626751818940681764059655173572257799",
                "170639602239678251298504113403184351686",
                "181295093334246105075082279671506661058",
                "277273132632532065494886106074755833574",
                "115011149279630071096910198441482536483",
                "168462574357185671874328651595416134233",
                "290036047061792145582079562534294432826",
                "113083712829956325812134317593229097558",
                "84928262380108036155221619531956375197",
                "265929607143567622230612695596421375804",
                "247284143460664065614528691384886053060",
                "321858507005239699045782788713115747422",
                "181257334070640595641982709968084434049",
                "95870242366620109258221900710183199364",
                "134810056602803765571503678952343719814",
                "59847731747117583362058645878124052830",
                "138771184755276746746941140761862261983",
                "140164480512005840577242564783542251876",
                "302142321307829748037554345877159986840",
                "53034796978763126417297625249631723846",
                "289338314422345873400278266991251191987",
                "318378650170456568000612377281186120204",
                "263757294873563804576500781153958320334",
                "299755985208465179101738926961160845762",
                "119993714652395072988274089126774943113",
                "113868341049058255553354907344607960532",
                "59817730387870207965226433906143048722",
                "101602544327469737337086668462301498085",
                "190004740378274003838611567808288604021",
                "316002907173455816120181366363842509751",
                "19216639629940172366275377413464333895",
                "339119848769389742965197228911551537006",
                "210794831027184609601512460399679108911",
                "62321905600432979373059841745928453076",
                "290192732741992080037014932041141049828",
                "332254136170778238013928645736565673930",
                "65894522951481915050146596801442516635",
                "146823443433289677887275969135044029095",
                "172330827216327841970615147418606668447",
                "281289121428231098354442622467088762051",
                "186644957471298010630749887774860077928",
                "314154431476856599766234079283154497759",
                "8931458837138974433066472716179250940",
                "174461105541680932467527301176160457446",
                "304884340606946263105097614265696089881",
                "220055209552401149248926930645557639236",
                "234620946143466521520631997343571657868",
                "173322420694873673081348772746335367846",
                "243069886326329812538932380634714475267",
                "140750142050097525790036017044560070321",
                "76116137919101572364938874549158942668",
                "95900024877689123791568885930485341339",
                "9019769377022552290399880255077950190",
                "255952220247903772464013650321573686280",
                "249219712988833047556743844369111258992",
                "105775096956893288146185934299872565217",
                "214631487673504207593324152234982456992",
                "142081073086498602226964479901241120325",
                "318771113335389474313316447979914681241",
                "215980683329524068746130627491774015497",
                "257284847644308367133549719089872348148",
                "2884606452095099674433479954477942773",
                "115403384968377614498171901521929457440",
                "244596357533375489370587316210071726056",
                "44147464646671205323218884762962543513",
                "186243298072068052676978300472190947178",
                "118337907165286791188769039721027106716",
                "294962642561676150274734034745893089082",
                "171643643720082007817491162597019040773",
                "105138979426232230094139799376294542750",
                "138996244536070077074649642810652465605",
                "258962575646529780136018474180340911402",
                "159191183247721017087621796114210505295",
                "7900457680125843646146990870523789386",
                "229279401310588951633371133715458071972",
                "328191414512002497120831428526500554924",
                "312077839738012054086314738437158570765",
                "31840114895717974589843934700499164754",
                "330739044234318962378622548723048834718",
                "273528981591019887751596761763228586799",
                "200698510799347761157525288873181591968",
                "145087521504249074966385447661926585913",
                "21922237615007606748394430867186890331",
                "22870898808416129410512245950623906917",
                "279818774358302371719558871552312789360",
                "92839447960123847640256181722281150500",
                "37729961592795914062481829343088916396",
                "243152959311095106270716619265756357968",
                "53683228933400632325314502993018340405",
                "53895564312607545440763769021298541333",
                "57126727231845967795958365750498454416",
                "49682000849715956486555544271836330417",
                "89874048024192362023691659833358193351",
                "96784257288121468237232665177192620668",
                "162793918515581170013790481309211524707",
                "215820598062578149216220862053483655281",
                "22033208382884645088840796450214708098",
                "84142498177923138644352253147714875644",
                "191819086280380115705806365185924098981",
                "101690280374729243955690962634418672628",
                "15640657716031766812610842272222355460",
                "226153570057484483698635707393107143936",
                "227021211784483554514818689386706829863",
                "67159792362295666475361479705729754812",
                "148386289927999441727866869684315931490",
                "274721294778448346375478784065293555656",
                "276347839993048656985111341603311348703",
                "236559241981115419955842128040280465990",
                "129327952531508734546729501031493217016",
                "239223915284902082150883846332837585925",
                "221753217724601293026413115185143487271",
                "254883895112221721375773560426778810481",
                "89400167049218594698820847062527066406",
                "96359591696596122890483845489752019812",
                "285906532177771427799498358503502861909",
                "5408210072129592164146053014846807151",
                "63520993568035241934748935774033040827",
                "35814257740969275818809381759504491171",
                "75715846114328323419295535352389208694",
                "264936975520305185151769087601843361537",
                "46731452694623954903992661847360247277",
                "256639006499174471717755492753072455519",
                "276695411784136179479775326672970577730",
                "33775941602818467381946737833116856886",
                "236862355355222475580595099920064359505",
                "311268377228199999705299622355220632221",
                "314448986878129493761906534467427111360",
                "97612650334880447419978053949570500742",
                "148719177359355855811071743303477800856",
                "102716280631592859639869163441902813449",
                "10434008455405888140267667926941400021",
                "274350935175432457483243867921476112928",
                "203698468829677264612344589717844953907",
                "84477081746451096520995841039372095637",
                "155882170787512640684549023123546180237",
                "321428614066938444144070769330967333054",
                "182173024745126317406289401058051949910",
                "293443254163845849141165987258468651027",
                "62278514209276061787701055862765887779",
                "197215543563160134539983005757353254132",
                "122688959978964080417087742012889240242",
                "193847222468479504532325850772504690768",
                "52214182186105312133230634501124452499",
                "210410858442969440801656049801515699619",
                "306965982731388504941319906698961924987",
                "129555579467135165136610392051343428041",
                "297727908556326433385842946416041034074",
                "27996671450737592746177182798107262728",
                "222576814350274733655700853408446088471",
                "121905572493775402498872778569981502585",
                "195056990061073299223133815403690364958",
                "302295985654741979159000023670262518679",
                "44610500285413729205586205878941079418",
                "159097117889202328100719764925602671154",
                "93922140364764435419320050433348018818",
                "338792344412037000476534279152504409883",
                "101678775382647987400903145730733810320",
                "280879062030331559119544280137304966544",
                "253554824047349795473624151183588605536",
                "96260485514926138498806678570003919932",
                "71270276172888086781645507695474883871",
                "128265602580523287887878149184230780022",
                "29726769925993855336317951464360322711",
                "245816673179664972122121517069033461841",
                "197359945726224217204354882122330357143",
                "136334371279608349608900823479448178879",
                "210241594824038249488280123757067988760",
                "231249475000906790968326830599981706758",
                "50554228286545075378640436068532784994",
                "65677872685360932363067053952859568223",
                "85561861684237860163368629536597874808",
                "78533244901773666496035154207825042012",
                "152856508344204948435941727501899029258",
                "294730463989781653196340193671372663254",
                "316091468468497234533092511144287858579",
                "34379901436192397784866035268324249892",
                "113667477338893638605739499209754123398",
                "64525636263604434449026520233737828062",
                "49673881002916344999342167340623618947",
                "147749106764084717815105456192191317006",
                "246269148752316668658473087064627497071",
                "176774246051867304637433349818154242031",
                "28877316865706796872497232634175058630",
                "289598263954398975122707940213783874847",
                "183873227520165723720004753956316108128",
                "79672127229103465181046511808206178266",
                "244903912504498718241448950831373382654",
                "155664449863050308322834484574537582526",
                "281097557550753126666214105064828366192",
                "23175919502960206981314814418078354002",
                "70790339713312271217983051287967702609",
                "334523040176131134195506789676937667069",
                "131463407389307073647049585730099152916",
                "144226070504788288624209606025247009686",
                "152950687519829565504964221281330754102",
                "81687420638456472431770285654236507274",
                "112515238088037180554946163537574227740",
                "136603061216149829908474499271238427242",
                "122492556674816934757917391003926754088",
                "60487630753215000483506381524304952057",
                "253840345528810488393270948555831816419",
                "245076991407741309400243065900135201381",
                "320930728158005815070997169608566038020",
                "24014890464687986717925223871634200487",
                "67116195010848530444306874613960029668",
                "83484057869354066093547843800959226088",
                "297160322745802982513746604727116394918",
                "92044025466320218551287182363840860553",
                "228482692484800789716384918034503768719",
                "277435009317001253790162945322987734564",
                "204600252359630716081423651404194160232",
                "305966174655907499509808826086126494468",
                "266665325474216527173700045981695054646",
                "145526029978716816631193912946773114573",
                "52724778102992691368402523271797608424",
                "155316560993318738727115470477473886858",
                "178437587477019683642988165314012223828",
                "193708437952628770285258118173607707289",
                "80839113855080975563484572929984491008",
                "10083121503536030318231953970940221165",
                "43353910050880403196009488303278352536",
                "20287753996785558973208161149710266557",
                "93987988457785615632167175089672887778",
                "89053567621792901396722190547385810121",
                "326054332769638855359640421912169773608",
                "169745651226669454302509434998226276602",
                "309515034746703755632349115243943318870",
                "204238108773870645384163843939950627669",
                "169722233078338961680990011010095371963",
                "288572614864887870513115496625002019583",
                "31025582684624773385520324471228038880",
                "292111675714071977276352366191188767923",
                "217956932688755926696029388065937686677",
                "289679950504257233227526699589237099217",
                "133475675302532609354503879754064361105",
                "100293977940154135254569157832359706544",
                "207540583505777862664176810688898639025",
                "116689935222329878812614331025704019256",
                "52563504317228622815217484652852734734",
                "244810032427940660008802912942421628663",
                "17511788559412105395912083608075539092",
                "56990794283114593492512181475407331048",
                "45851857318883693034641410339548507499",
                "190752813650922111159472953559322073158",
                "234524770553989923630247558320735013980",
                "248230846874063535183314702254679429911",
                "298162901094379895416026950894301549868",
                "102777815599604649820454973315802367024",
                "317442805672898260409080106219148754728",
                "149993943051807560015812924571209421555",
                "172569129118892154120721129615862016950",
                "160784231766579041116592108256102576500",
                "98095743391094403894808456534926622201",
                "226910533662304569919178483034746132865",
                "62518799266194803475710197522261431371",
                "284366874924956816612436879183182880070",
                "278746872648579201582576139545825279310",
                "13956100622167981791229534967337926910",
                "281481235663874187188134159689661256039",
                "241292843259521692843312040207092848572",
                "221684080047257688418247321350950143860",
                "265784562156090173482036366755391208463",
                "210867357886583242624831112174324607714",
                "329451266709470886215694878373714320426",
                "250503752705278455065456671838345372518",
                "28813481698765550765134541368551942297",
                "132952796336095984612966997677176580565",
                "116390669307973828854388056961191765494",
                "131625638547501898754785877740653539362",
                "25221554383180309733346285604381433476",
                "189922191238070370792323784265714116357",
                "173170770898966752395409114802443746375",
                "57587521110652506430166716326937509944",
                "97067404506095538199370376742942485700",
                "35274538763538070803985026425196575848",
                "137106409594710938087336762673844066923",
                "35160270204243017764439177009493157605",
                "211972717773088782446321788933742398386",
                "297917418813753608447274903097431160025",
                "268846290371869836612934293585073605884",
                "276696881976358433881820040346826908151",
                "36831721402215821720193485569669579130",
                "128140648289410210257338402653342944376",
                "207282509471601932102899229062875299213",
                "63831450379419809439154246632612867034",
                "205482643351681922856262581707510639949",
                "113829873868403971406692480522718232005",
                "272951102090695494761194191668916478839",
                "77634897478078664807183944642256299192",
                "143360127596369234372802248976838481645",
                "265628602091892820499836146081128060118",
                "281403873880616082261007370793379109289",
                "107776794946892575499258972382681982971",
                "316183424735125495502036294421983872386",
                "174378230347205176686631537403100231312",
                "154459169392103878185462014481024874290",
                "72539553997756494382377767363175677426",
                "178707944186508530431100199867091965671",
                "98950935427552364820396501416411458468",
                "259980043780631888814536508830744771414",
                "223593031148415633429311446340770564381",
                "130140719747175024178442617608181626287",
                "38127643418244593218398618069882325765",
                "33511052469309186425664567965137458875",
                "164345522874128016218745248688291615374",
                "224246248602186008126141559428007629121",
                "37034874275196329541222165966993528707",
                "199837930785501047371096818141107130617",
                "142578570358144206333443381598964010839",
                "314435709585903902608156254113565667721",
                "120647619836393700952693549060388231721",
                "121291093454677196670204255738539982176",
                "307641177144937661691445219129497936302",
                "30679151525678545240137490375540423628",
                "1696028133387651810738496522702261079",
                "108734008654971210928781060848363430042",
                "297765902035915016422241459979452420836",
                "104393180210118365114507163941495418729",
                "185433563791565528681613033581679087063",
                "51623441960590164128495251804256745759",
                "305723757106116784041957656097564431204",
                "255300325148346301496453053538737164997",
                "188138530501552768579866743896859265648",
                "126369692901305752128119989810609440393",
                "249573101072069818844561813237443952310",
                "122321650586649087097323080761153212326",
                "337576158642367561861436059542273167287",
                "172661602227075071674248921445708557749",
                "107726172535856490455680515033424469715",
                "226793711349082332344482814226760782275",
                "216227457737823046907045525235673429936",
                "165073289433117397550054061141579131449",
                "330186273182830112944142875141599681269",
                "82224637858971613422720137229950658473",
                "2883814998128515574293525281223586083",
                "287831374334404956535725448323522232450",
                "296615426874307099586443893366480495086",
                "233544038208024946071208490217751374156",
                "95817523220780824379231679690690039538",
                "145712900734376196032286883646844929623",
                "324661924104210887389141699228014962218",
                "88563756976845473773125804248336231632",
                "331239611617674488107397871287908378922",
                "21504944729371412902440471227161050971",
                "179696180527888159984848020517952962745",
                "119874444562588140924995281599428911239",
                "313390818540656731238666034629281406239",
                "332412229850751659424149873771285640107",
                "1568630491972028151140225773663872503",
                "145606126223445993425731948058892984497",
                "229466451771622287666409689471254410462",
                "66885385598014385912753524977739461273",
                "1420545711347375583475703279644496916",
                "27823902229875633062621147343650588092",
                "248645909353892082273301613883647376220",
                "19448070561621949532958464732018793821",
                "339477186225524428909333408774891591741",
                "226448132041303168352943342606517870889",
                "167083678354649650575499479641565642733",
                "304561256160595379638850266978123142333",
                "180882410448610953267022739915715206739",
                "108612128050255717988094643066412958527",
                "50898004694419205462054116793418372799",
                "317756511467892630318220420508508829077",
                "2479832110292991724930194667489120054",
                "26044653636628185558592737898508719555",
                "35549665527437662580470336259734826592",
                "33545464346251092790374729495484786251",
                "65676597857227703252181471114246865779",
                "230256737652215036735415566761844441232",
                "157129764938203382962759442849494249557",
                "213364168794419581831503005061702992067",
                "314423755935073837344124544816848989655",
                "23326326474151815386007737780027442972",
                "244719925944585557483804858392430600378",
                "1697091386003895703376796007221206479",
                "338890815751727621356216894188508099903",
                "198764727976719856284033683598660889367",
                "137671489382375261217568514451852104482",
                "218768376978672383283073252988630629926",
                "191559016546593012369312111458067232774",
                "196947765464950730082676549805724499058",
                "321358098529471875349651600785015147380",
                "317164734384365682021973940774796926820",
                "33189467537899942258945179738524680738",
                "2216289190393381649612427995471391037",
                "59733391983812299886929076136908248702",
                "94050226567468810899771675017095140837",
                "263472638170028467097137782280137363671",
                "257356012581636393424558710714674478127",
                "14934730394862545455818561183781738041",
                "84335582660413005418464786653480646715",
                "117201505945576210005536607974986860278",
                "271941818619946209666170662136351796556",
                "321172650865334853127249743808648479413",
                "304587535445553237151974065346623075849",
                "91821318058486362662725604098683810428",
                "302845822972020791655776240174426400091",
                "190067178926641608221235693205686397436",
                "151060921985422774291352518167494434146",
                "269678753011070945817407945676692540300",
                "64459126045874686981990320571418557195",
                "86131486153475344552971447869555400373",
                "158626307757038561005586404419158532543",
                "334688063796649276370780694859671292262",
                "136242974738248318062784106249130855352",
                "112162961520382152562839318103878484033",
                "213056787512537426230913567533203491957",
                "97595808338904201807953581104111370558",
                "94591449660630283310243186753053994015",
                "294270528242900509734122349131656590433",
                "259622561817500962493418573773940632556",
                "303942063871484588244820862132997563713",
                "122085438643423990857240456054118701076",
                "23483590655157326421224502788406474550",
                "197283761437673158331203830187931442781",
                "36053889020366878528077194420307548103",
                "37744939721649979339955235986049465067",
                "104240046328356282979824570193362616620",
                "171696914167349688392582771202651450427",
                "198953670312476593920704645442110274194",
                "337214053835708688571684785064106989508",
                "330899078623296723558959508493416161853",
                "87558521652886650958198743033034539926",
                "85096121479779882977662924065407029609",
                "44296732479639041977938537235381228234",
                "130299197860552470446613746146394774274",
                "255166653154498464295292944652009626363",
                "76957434034634037516319266410659165740",
                "102157764104949762248070283106936039942",
                "328349866583186387053481180457998661874",
                "4268417246523348121562131598797547682",
                "236146226889999451360900210523328303320",
                "244076044204616933263731226401313640089",
                "233746938120369183135192335836133726380",
                "223281743498431312757946533699862270630",
                "106838931051587519380758066522736064821",
                "41220615421836800895992316016912406813",
                "307657986322939037253025189474918187327",
                "186563080631768945592292741348338565810",
                "222575084257724145835474067365457017488",
                "318766284559103208204743668964771147220",
                "222208057236626512157716511533366614363",
                "338923420228442246618758615755652876276",
                "13189743042001112135010865174428929869",
                "325839664863963276462253045283043943989",
                "293556313279201632048479491320347451648",
                "39841474792577479054501225448408924985",
                "318155960712331214740211829728189734437",
                "315142707195571799280889506917122628206",
                "195891568718707099603386814468842457884",
                "87333816652702208376449249907728958045",
                "207706035471901146864822807260840090270",
                "194681161459450236356955833033701273868",
                "90644248638785123577773486181581155176",
                "13802158561071220454364556322955077652",
                "136754029238161768813229081033684889013",
                "329852985239428141929120315218577755776",
                "293723061700540234487498994883213661850",
                "78489268623291521552169960803843645930",
                "170030476881019348610276392290662797803",
                "222134477167915071352836545269104044263",
                "4217622715047567604176944275203679198",
                "223928731859108967042794031691158041194",
                "290562937637445676841016262007873550929",
                "31504367623091335927414439475632235532",
                "39477977276335709498909205782318375887",
                "308555971872398840409998404252858127861",
                "164477761203521325245185402049796589362",
                "86724772017846243141268012590975386142",
                "143493402182597738580118702741489049392",
                "242006858886805795170011626801839331348",
                "213144268077634823244690668423129876659",
                "231193874750313111975020657405455960203",
                "152592815520913171632447406676985886507",
                "194757539154225510512147455526475305606",
                "103998578786230796318207391170290434995",
                "199063592588125902435501710302460348323",
                "298058900151101737255118838083750242311",
                "249919687846557130454819797068576729886",
                "145566856240067991082154734343058069091",
                "298178061176846299235603479320627397975",
                "327340632020365046947319870252280254371",
                "69612390381008219598068656729320177842",
                "90113756676202884492653565091025612991",
                "292126584718693804919890340843203385134",
                "25466401108712721711118344161128010153",
                "258978761055164310139127056967359136348",
                "135285040316529179600479101724089094321",
                "221764663073314792373983933283156093307",
                "11853192793655435004920849381978771813",
                "97967670583824855328692729263840933944",
                "325454810236547209144631137454186643829",
                "211057634341451374830492109153923076472",
                "69441555978719967559181918266270745076",
                "264357884793304183624753533563056898781",
                "63912210182114559836236860450233511540",
                "237837593297519454830952282635059602070",
                "142524537823994582550416691443231145451",
                "227311058039668681248226802046442896157",
                "146149524760211728965850624882405778187",
                "252429706635133096065292137272447246701",
                "227002528057368747789253222482772288914",
                "136930290660795078601299680574045790908",
                "311190534608676618832916560717427510587",
                "70976722114788472625677197713520781457",
                "223558806114537208737080186530016005232",
                "303202476097300179335486424797605562639",
                "116185021374245121107432095357670089152",
                "256636296016844251844186171881112372469",
                "94326024632683398181864843531836430323",
                "165670625149867904168251571094356851244",
                "258901467269496947651775852053547249084",
                "135799041975659856355920129833988226720",
                "132735284604573139674275331509154323768",
                "318401830529806070118603879244709322531",
                "140870838013002296975055177487508041815",
                "60678467721644637537835248415863282902",
                "316052086276798221199242122913932214869",
                "250651630185879974020344777556919650568",
                "184572816325910601961917978879956048383",
                "338277526766031733164573372620674858310",
                "338147888043444206163782010019517312759",
                "238874809189960477161549283791293077556",
                "185636181178041530597252009253992761572",
                "114214520026362173249025771952289049965",
                "340048082556355183263557264330111621594",
                "206534382755541185414087801949940318465",
                "315167095267800837926473574704581841969",
                "181433289936892873579856857065539895657",
                "61941928028261264333523231282664907804",
                "258741951317573842991246091954180786479",
                "237456027127175339391455608133406064046",
                "234785011353026783089364072591822273515",
                "307346077072146181168302007847763339808",
                "161761702630296610039057630655944142424",
                "148041236863767539129323398388729601347",
                "201711776277349384929317861461394762777",
                "328682985723178974362915231314785555328",
                "173818349684462428941863191490779977118",
                "166489179685568653207004447777211688734",
                "99384386154074868487803713636170257055",
                "131374978259728968206890820660230313194",
                "94558339505795423771525422954804307984",
                "277307573399582592413730779661516436916",
                "213177337026896550155133002833856794026",
                "307567357441528312354791402747747955398",
                "43266310001301933695036832073055399504",
                "204735274849794328359672217772243444588",
                "136405421649956777225940947455387195655",
                "288708780673789373260358732193484968334",
                "58982348469662597280964044456701525390",
                "13272383087069599933315598376073375189",
                "313229381903929589809828156769848474490",
                "135415999866617128814630889669756408216",
                "306893327012615057358429430662791986937",
                "153747887470758227720828068050603821388",
                "113310598644599729669868060066799291919",
                "153239921003390285527326326308723063580",
                "194137690244352164212353900978408527383",
                "49293114062790296915792711144694157927",
                "56014427710135318559364746665134068109",
                "111489353735605549497394360802188885141",
                "191867155580391820333526362506393745472",
                "175996031446496095946063258490459672905",
                "237370010424029294134984983595371545420",
                "1703667598765056994763141680224425571",
                "32628364338002218437066112826226809694",
                "233944071168751032481885359637205752713",
                "158388837676772272413838541173375529803",
                "14869868471482569545472013630119570023",
                "17624820801339489200186943796640749880",
                "322406577339501233461711330317787440100",
                "157304659299470804539266106131817223664",
                "220997631420978673535996165481710295805",
                "793289403594659750636971305050884465",
                "207726238713962553307168266955244506156",
                "246877888359403940981696396288604539118",
                "5619448371903844680675209389467498000",
                "259984884940343385693090086888056885234",
                "231919839654041493134595257621738663068",
                "37691226835750438623520096593773508685",
                "22505893101112814330447667841357945426",
                "283428401537913434858228811833394118566",
                "47303111640782397454641831811832764575",
                "298793698906855155701548316775351345266",
                "335062735717991088325670082998502332195",
                "324181142428759037470013829238406110826",
                "84319320233297802942578185072001113405",
                "193571284247232754338595930575734401114",
                "117016227455649332320068524777421956218",
                "41757360529626656342486299957540605751",
                "297643056648975616556416128470452900643",
                "2301262551982136053575238110766843780",
                "278283642399594740006087335156470796193",
                "54077039347899638327319603093694859237",
                "72728533694347781925827943236449195",
                "316026514362969508261224302034795829544",
                "191524764517249420305985578023818923422",
                "46847705180647702553580683608591824046",
                "205657498098155381144544380600314497613",
                "44646978832700836414774509237048064769",
                "28999455554133217308530978481694419798",
                "21404940956755346406894414159370373995",
                "321398668064800631235000486083977153712",
                "195655003572438759513560967535160754373",
                "6916651694823505182479348438207253604",
                "18087302724009587432501038180415300830",
                "7320528674336555562449830614033557209",
                "336173708200294826088665924944768295421",
                "94123161301356705576067434926685218012",
                "68326603053729637077391012499387384323",
                "77037279581645145781959950121479769614",
                "299775972680149075658570462442926390285",
                "283440053612872925928588108397874486344",
                "242933270250759722397535529831786205563",
                "7911340304684566400175981659034672935",
                "47936871339869145372246413568292781282",
                "213232508606403602409552194044258575406",
                "27529860645427453354070476755808728031",
                "279088779600219034353980054412370573413",
                "122190876829146410065539985676304197736",
                "183789950040252773180706577832078365494",
                "176614784713229942931600994402408371569",
                "82829620151897118601567578217356561522",
                "175303282736552972880232990152054045591",
                "242908430564430706014712179170456039128",
                "334894170462253353703640551828564942318",
                "59384571329098365577498341511480158500",
                "98255619504468480596128442812396790715",
                "334163523188504438627626983417671801827",
                "313784245949766216577596891828003680253",
                "62898842889094438767768047471395868819",
                "221880894634975831380090208537862492525",
                "258690221220859774566728424697630292395",
                "294122571653048968881471055878198816022",
                "28495998097832257696693312871009130583",
                "55534360528587064941184937269043679790",
                "246192909369632637998140017005863529979",
                "89169873285160184427897232729591949820",
                "165629801385798882600704377956243885877",
                "62773402731992918148013950498440191062",
                "281595112290299932355273719647589998319",
                "267612550540266821051178674617763536460",
                "205327731751116641826935214989723167766",
                "313116147176851097684042804741300866474",
                "151023300706942975861257725013422683471",
                "306478781314352303354696039147950263990",
                "333118438141059781642044887978542662648",
                "180698121827955484841647872587479670027",
                "325713735821025903808467837808008170042",
                "145445261780109515755430258547802792693",
                "54639382542202987586337448587024175616",
                "132436978104850647535668266522246600724",
                "153468670822469608907629339543121774476",
                "14581608043903047565108923673169328649",
                "206900762819959553066673495645379991055",
                "29442085005068426139249015872619892067",
                "9848850767981502339030073387828982944",
                "155494497858760333923483315936316146036",
                "198402778605582054608099980408958164971",
                "117635701218527514136592347378818022106",
                "55513309776968772637721392238066923449",
                "235029678879963578941052658691114527604",
                "141078705410698684825847771648648980589",
                "204373194795047005392189556659763092814",
                "87298192593582875115409587973721074930",
                "299030316945236971588594496987943562557",
                "336485101070860829173180326191318420616",
                "3060801910426047764689378611822800463",
                "128967276603695893541507128628046824891",
                "91911612428391182597769898740668611753",
                "74896824116787095122172019611258417051",
                "230705493047225696481511845500251138550",
                "206801870287702764642280864292243413048",
                "258828561722866670784113608602030541278",
                "332563695224240251493315609328182195816",
                "322306861843297765870943734141831486230",
                "45898740352184697601898223428550976234",
                "241759813449515117953941010480250297663",
                "77409850401932915627232112656824947153",
                "283427036674780785042849554061203559123",
                "102702841893854036345679784580970492538",
                "214458341192021419965433656513064130792",
                "255481055287883215148516291663710975267",
                "246882790533385965350146333464503519379",
                "139908438757117001325414073616733915083",
                "267219612566068564111665148200010811736",
                "102354385538319001529747197698738008440",
                "81978483140818347211774456801043619334",
                "321500042168376693759824630438847268072",
                "230367486900226781953747443335335161601",
                "216924314515290687280780154747751720320",
                "62428902270869448279531101982682724690",
                "168021771003703684059939412873954758806",
                "242431247855066900673731638531666299656",
                "249767971694425048905577392265716801584",
                "147902273965359333363420471420932850814",
                "141924345193258448792798298087772510443",
                "215575148809619481328553719197941050560",
                "166041260367011571029087878188680340731",
                "286231380623701353143272283226069777658",
                "92688526671418800283919222567483598632",
                "31927449330836671066156189019781678400",
                "325574447821157861711744591528305119362",
                "135491524687890488653494273815003926981",
                "135255806890455298977747133259564349299",
                "316133237338137098433316808054208175986",
                "301447994849871169590519350156261086053",
                "252669722142864086689037066673960749890",
                "149771436916077247831044852466155879775",
                "118043064505927568291114249724657733530",
                "235224161353269240839410968560532145605",
                "22754910738306173096794419285883558477",
                "188553178529551417287779131060759104448",
                "176429483073834592544447622176298235850",
                "165672726672421595246353227086197395095",
                "237270969069997768838325873724240304421",
                "319320681620138895235974898768682105858",
                "11108795144885451207007662014615762824",
                "69460888421636620930737884617662805063",
                "246864603672472055334539243585135355796",
                "122322608390463285484375221083513806609",
                "100867895502864969467289874222353645258",
                "189763594560235148365676389358063690565",
                "287083434833604661476757195470208613542",
                "5565492610597005772391056822064502810",
                "228825208219402406432607158791137946186",
                "198770626485273121234829187320890081272",
                "172305787151308951117749649879720063708",
                "213655132160831287510118767334186193238",
                "92444433310782979581771677982401949339",
                "42166880710522811785011314894818005189",
                "50922552882936198735026188819191510806",
                "155689389576707023170376917139564334917",
                "52999245785343844758181324068917799100",
                "198647717934101747613981009512767795609",
                "26163720698570421773134827603232578688",
                "252458310700590633367339605507380209874",
                "308724161741886507230902816730179233217",
                "48890109942723948951599228835413934896",
                "205524788955935125194436777197180192414",
                "144607298063952138869020163335678662399",
                "81023426764904539621728630697641680236",
                "43748980663253482390927197776556725398",
                "213205977245161998803292226046177024802",
                "254724284204057440117974887702576226926",
                "301185294559582017773348788738236902606",
                "255638994788071566775479149847347189716",
                "92264677721428054452550484938550514794",
                "91686581671644212021770043511823939826",
                "208441034236455216622548421326376053071",
                "5092957182665372548970984767384738526",
                "261293467329409066965854179998562736307",
                "318169366046127364369803510841320574303",
                "69877526524980455468982758427487533987",
                "282345398424436243862333185188690639159",
                "235142309086711594723548656517498462355",
                "165290130197201975295203578242310446488",
                "129607624422461368914364583739638569590",
                "12909814174746537945393602483279573086",
                "225811422769825794521754564310517621701",
                "296475739876231799278935817135713076630",
                "257012722406023030189656554105898182082",
                "21155968771414923747728513805049509383",
                "156922233207759302086682364549947973292",
                "56387540551717393313190286464973598452",
                "186527309537087102420378752436959358020",
                "169326324555430844153222210548449510828",
                "23037066020375559822154754694884346195",
                "41424786594036657917406475979121170103",
                "238672291121986301644663491238282761497",
                "111659082227772877907639058202106921832",
                "61135282255895942837597144962740980314",
                "45017927599317929598915892673807416829",
                "210030226549664067658916560647213559165",
                "152498771850740583466838669047253769247",
                "310565592859237894898772955777818899272",
                "5308347438921582891586232330521357884",
                "337279431630469762036983595109290653052",
                "25032630441272106751213003422791316319",
                "173733915073194432138832892945818289358",
                "76826816028347284712114310529421076827",
                "252346803388794551635293783878089638783",
                "336152208931241155860053503559738901686",
                "88424929431298394619056175594263357044",
                "271291873511041123147514710879611513315",
                "294344022687266830861180712952978133419",
                "311336464304988011208541972289018412211",
                "97467706505123134481760444602301421960",
                "336541260631299912211948886810863441591",
                "196958736931883256473850626207942660882",
                "325605021746268083288325651955961400885",
                "65219805172337599012026832760437680768",
                "243378685772366638528639154107777575088",
                "171853866586583264301121539181608291168",
                "13796153778478547034240767436489330877",
                "238283036624954528957130450000842822063",
                "166014071416814619277932896969800855705",
                "202604464062859659210807131086622662702",
                "94985418017384192516967771224830355875",
                "271473441780158998406716021485449400891",
                "247663116695233309199471924157996217462",
                "3484491772995070855018400980788587756",
                "11551546142899343272686183878501470880",
                "17755860000390670021948186745474939662",
                "196813894727872188269769598336171913878",
                "123185921362712105795970963086513052458",
                "201735755723806934667038293968849043211",
                "193575114305990279648581027812648874015",
                "250354332606947084183132732772239951591",
                "271591736772657177309704552406152734554",
                "149705277893340717753965518256908881768",
                "335880912876228980362462282986276278579",
                "40939301961319338460348305194201130386",
                "203274366589322369885816116912196096831",
                "77295614234667104399986632821239451055",
                "85339474003703796165363242232697262455",
                "209709664462179190271673870147022818238",
                "129453160561728604236840081842781955132",
                "1462415722410041387601491262349537900",
                "157796335955327739483769342321637351856",
                "15143440965033676955405371195423845724",
                "129981044689878458225224283061061807081",
                "59025259478563458558803941890373810562",
                "6681596728047624967409171290379383246",
                "172063361151446751117274757194790469457",
                "232303346517006153659823679279688575184",
                "105416970396812898366279025376998882762",
                "6201142758521182131088104734769191353",
                "65222404152873678263342541425560384686",
                "134989402182057373545535324770467405989",
                "286752361505568144678086361088607592771",
                "318253974936040646788227171849971632032",
                "138020171168076246370625237844350080029",
                "123228986405282549802096123940090773334",
                "87069361519828958804472775594255027850",
                "17821164610294033015913590151936056118",
                "169652516930794399878439515332179523560",
                "243060620727192316832307090476298485683",
                "251463231621059795247908137834166852878",
                "42630764573755214918666513635202690804",
                "220554614282427594429201559701577052757",
                "217559244313921155350375477044939276763",
                "279535308090602366656537631009936727484",
                "184673937033511551244638074170725952858",
                "293788527983336349283124549138859563629",
                "42947455784331078345117616606120313689",
                "128286442986086277844096175095570833395",
                "173564278964754436257193681190466494334",
                "339796489788988575365732813456023906815",
                "229695592214173425434376185925888139779",
                "25210576817430505802974466854946224851",
                "163978228340633959056233833673792213178",
                "72283061498235889198654053785184998628",
                "168900995918578679163482642560685682024",
                "301814685598074342199841252770787195715",
                "125199949348590070610729488284110764943",
                "202049106774549764717016870185458106493",
                "154665083651880260006631142168687097471",
                "115674404557711447135424587480671584631",
                "27086298406976765972322269472518357754",
                "338499876066750824381873299623103189890",
                "292181811311724530651437289226992880609",
                "182697437818753713055363230286798654400",
                "33978786034452306072832771599048833194",
                "216739090282378777873786568910718552554",
                "1397480463988009115150404456940315802",
                "136806368255546825088080829072584226097",
                "270632678600024220757180017092968970077",
                "158819697471845638260135936888337281024",
                "47724781515420872169808049482784525659",
                "75547034689239049979906375185913425531",
                "40847229715067285286922755906099085053",
                "305804984117866092580971243141920998088",
                "26151397097946311816979407560849047328",
                "263246246642080838179295322328101164185",
                "31697561542995841070024509021824459467",
                "266370244679465738211719674142861484481",
                "323747439782873358023851439834875845677",
                "102679893717332352784758122839890308418",
                "330290286492541048991891331664779488514",
                "97159977430846690166141265743345677992",
                "95171470049007587700986120183472081432",
                "336815487143279768391537040945271184684",
                "209947355046967477982550145322629513922",
                "253474832218420764518145149325503611528",
                "272940118560090612948291190140498295096",
                "102238275941252927242572563277000645073",
                "321308365852791676227822887276244842078",
                "170407762663216683062179453253017113899",
                "273079214689911294362678391468819403862",
                "245197493453404740176366262819543125430",
                "22979289156073819964776495683460375075",
                "230812392450411834818021725993237219861",
                "172535871005413864125927905853380020376",
                "121802477870841180578674753349917482326",
                "16383159688477550911226990083663648299",
                "119764376881280582422352211831128728177",
                "41027141543545113144960026564162850230",
                "123387298155874995114107211061370515383",
                "263150678956222808044377370205127135448",
                "308303862431992466475654505490434741491",
                "220625624435950350936614325207926241248",
                "245261222500160184489534226881854187632",
                "315246281489877865376959893228244504437",
                "110153463683759901423370351837876502836",
                "291521916131357428956608662435219818708",
                "293978649224368032759284421022749260099",
                "182417550681920933781288952607783821170",
                "76622878794910281959161838522937908588",
                "209383623207296890127541646517488703325",
                "103927433682155009864623620478308284831",
                "106655615315817435997197229697289318551",
                "51003992230011752514879580852806460231",
                "121235719697573955629729023725678133879",
                "107253379038717840513240931322335703368",
                "312007498333899447168590594519714107422",
                "169609020481850285308403140164407677649",
                "52720810088011003784913882657765023770",
                "190051719182398444791508632196251915169",
                "202109105699623972866776681803075269873",
                "267315247882137715733121400066242182329",
                "260271652129628873335553494116385805534",
                "260711258518837061393518073119080510776",
                "106465108960353731591280927329091322437",
                "192048213916846516798121871096507991159",
                "110028365243361713084794485760499511424",
                "56170055162944570995552660175824079340",
                "203502647925891093736874527722741527205",
                "1443041041581114471361454519700119008",
                "214614419496675374846121774346923936696",
                "1770733966415497485964928570637405668",
                "46902158201755543901214386541783931041",
                "232278665973873005784669616473144549548",
                "283864430270156907531275923453354829078",
                "122573318125186917793786181257061988891",
                "129649788916986911918049468202610039965",
                "308707519802064363915142245301434135689",
                "193889449247056100569504812783155276935",
                "160887502052336787101409853081202255002",
                "144940080828319431465817987374432638973",
                "323333243643771197180642266081012740958",
                "124063496588113827680561064310386131066",
                "97224351980846083813383678082889108877",
                "54182911109097111272307086441836308049",
                "301866176022979467875728884432508444574",
                "206488725213307007246609916953669584364",
                "83198228904734104018204984810564009975",
                "40437876436256430761627091337061786692",
                "67678450205815284476763282571682525815",
                "252797266124538609638766685163166477190",
                "227508710987474389076205386824810792662",
                "334805338653422565659030606544762254604",
                "49626224561300744579641207593738930832",
                "132292053426510530611345492290638497239",
                "106077613715744456746780966701168229435",
                "257991506972803486451052521841025798831",
                "265268893864241450764106454619433349300",
                "28210777411856131128301826264468651732",
                "212759273586510166373856776434727987829",
                "20692787042863918123293635986085586416",
                "125008121629949198085432144244213006045",
                "206896186590980337388145995840078716903",
                "114784740839949663175230290312213941553",
                "313169054216812414682267368430347467651",
                "318325889394750742964786433894566520639",
                "201528190601347132418923527620599935815",
                "1500872712492670787766795974515792162",
                "123609971895976495589248169795937483562",
                "205897543537227800315051760051765430912",
                "263979344882609640941978789024152692841",
                "240595308513660113255616474671993180129",
                "65529306916629548429185752759738483143",
                "316734523884351693993338548069646301192",
                "152372790198308953853084768037241806611",
                "297024314649470595227350477372961629618",
                "42544236549545089473904235232609522819",
                "308746161705795435899037386606839071504",
                "119181926759588286720405614737525366965",
                "166364744077402201916736581938333922519",
                "97992190433887560885884320757110821904",
                "174081084291471894688397216854144454034",
                "21163423764338526263850061913574938939",
                "214522261068103899627864083887430918798",
                "32492098744342026082911857417732896697",
                "308211820430871990882468034754175157637",
                "281095078919838378558969845949667697447",
                "87956744861161606217682873176891669113",
                "207483098233849681482624388593240955648",
                "63913792149731825355302276549783617798",
                "89186563171425379214310896542818389930",
                "91236365779761246515676253678149347635",
                "207562972891411892816746472102593502138",
                "274968956398033490787088279741364379741",
                "83287760853064504560008893966638888428",
                "142220216553548600412643133389175057373",
                "30384621597460801864342734232298350972",
                "125687490780711775936774084744830948986",
                "37075610873836852517653588118594134419",
                "93290169006446181181022634593659824091",
                "214409568085524959063509089560537128872",
                "33954738990304389765171521032516423506",
                "31894400388811768429625833202405594644",
                "268752878578432349852589091337644375032",
                "323569087266709741348993911232650862129",
                "285169953799837678017965585237257238101",
                "256021901731884291857140573142318229200",
                "150602866948941803772936794189706110802",
                "306041176481708545573709120944104412307",
                "198499826969470341226111512233889607063",
                "239373132379056980667209488191374271915",
                "311467603624877954663788419035484133847",
                "166403422161960861636932176490328018710",
                "168494768777999751762322735482624412569",
                "155852619616337006797462747296263104203",
                "80377087469046761170611835386640130253",
                "303707594317527521258018523239221124518",
                "282643431362245225719315245918933712826",
                "245675879948192907236342558083828003013",
                "210550376748355879822932236052737418641",
                "286374534079189044491251207135235065066",
                "103466102152138121198580317660934986800",
                "298869612834347537362586752887011452890",
                "336178624881474001804336499374515100663",
                "337240131337026235306638132226697877392",
                "261798174193583529430792970246560650855",
                "146139386377226513846505751865638977114",
                "138000931329847316790341702411475673581",
                "224540848753551751345843425772747448391",
                "218209497690228655541143344447090787933",
                "270230704351333562870721893035718718091",
                "328304915819954255392227865837735398173",
                "308372674210032362375809498091730075876",
                "326688898990449017340975971109081532127",
                "88142299059298498183686944990586053163",
                "128576880504761094569201005629686894826",
                "288842499851207689562334837230522994005",
                "46686564759313127058463720484264161558",
                "233095579498559604569448568787246429150",
                "316859742941735901356182767605051948241",
                "154869333459148625545686704216563359214",
                "314022526325312668532287437377084441254",
                "325388269648372155980011838051843616699",
                "228138864422059107518048910057700660065",
                "74733433389840263410715785425055643398",
                "91524849533697717212193270318954856662",
                "61777316411779050841557078750724626075",
                "30910521087617005111247749389276730260",
                "226344815494091353221400945089513177843",
                "319708875310188664083963082842759404216",
                "299925486204355286491195744838111147994",
                "67472941939202713957094598846331532873",
                "153798456512628912134848050777488607888",
                "178818296149747247555872269966426447923",
                "211380040110873974787459521059144804759",
                "327108045080558701818780560870179069327",
                "277378124255257495134671990439483687966",
                "248053281589557623555798199833852245900",
                "270419677903078739147747616813571091356",
                "68647296833349251617505443898327799058",
                "274633109715171884233755610541923659515",
                "308469699490881233135574593007323495396",
                "2951823813385147400548342138411629094",
                "116531530564782769848131284386654781669",
                "120195772733735854279449455967151553305",
                "151501322698586621103714923909709986986",
                "13502126094901340402692785800200735933",
                "215795895916789759204180031836574142126",
                "265136417670431509024683252077592365969",
                "219722794902622950329053059690053521398",
                "245707992071884570303497670624480306971",
                "231899861290388861269585943974706375994",
                "76928881691008215755891267069562422211",
                "73849145150721980398033784127193461368",
                "9074747180113875846003845531338403882",
                "330458389839273431157452818868010897633",
                "164751295898270724239138834041801530744",
                "327244820550365836220515797269825588651",
                "225155902615433235955175275872851923962",
                "251550614582864522324499136840237666242",
                "57764367824424185196902397477310349916",
                "100283905876572523491703210901965938997",
                "43583061342357737742958929220218612534",
                "179566612417188090659273954689505302644",
                "188209347748335374844012235294700909936",
                "187612649295171422608966297157584615377",
                "155706406710094172927335492821635746594",
                "152521063820534604110369846982048971455",
                "177925599613950650203748656376670653898",
                "23341397303288055566573815217153731427",
                "289167340316088433254916494857909377261",
                "208325541135323620640243417896530557635",
                "107994373352374749286778341171229499136",
                "185130538800158399009533842833032590636",
                "319770345200344504094022023895241129334",
                "155523235975638865939932891215733378499",
                "327802984776871112512052111703976042142",
                "28043635244016478840536516580590929164",
                "18517896243938789593689504194234057930",
                "313159816231901195680992411619997080281",
                "263436500437096144549675352594831127159",
                "126697748242042606487820140908015166003",
                "251797817144328371663834487889150147572",
                "190193924594595520324194136079990457270",
                "206787492406964466519342936148323768680",
                "143443634481120803510653763176386217561",
                "225576637523401973872138126188714701039",
                "253502167697514699001975803236015305061",
                "231925554268161402259848019990571797452",
                "168455221065969864181977930709622140050",
                "31324744037597223198072461101636923346",
                "248164959091129818945111611738825571343",
                "23125707558203915960340457187720736559",
                "245798092921471278363611046881330000318",
                "242961618867189801021523810630215343737",
                "108382096932652474432239368959586460798",
                "331949726912324037773822125852638644617",
                "201164039172115602237568428756231121937",
                "335272620318362485811540062716547894641",
                "29634035742098505770411690522998721110",
                "26557102058767361140052344049063769384",
                "319915079129739991447027532925793757339",
                "36012896354566047485489855056188387957",
                "206068213425985038195791705018432786446",
                "184031984383304108144935525161942321744",
                "234593489949847410658634513599059775059",
                "336929666655476220312687674506396270753",
                "86968969423456236267734614863967542169",
                "99184331469271505910545851899942570222",
                "168747075537784405621875706990113542785",
                "248044329430135263168728413598984912925",
                "33330668187860127294096447729653823870",
                "304715592877462791840421352492681695282",
                "112045862582518261102006555782099472743",
                "141038377281470882416640647951818309949",
                "36264395464443960210225223586529976633",
                "52939255402412029939933263072812426712",
                "82738796612650278722245702114793852292",
                "158182344757397028807181770653951759858",
                "48286786622576749043028734087566669671",
                "30752929582769021210145746829585435561",
                "53714334074152853460219571590993382171",
                "290543208530372065612158576601824247869",
                "291589609796417995765587301615512676191",
                "302728446335115526385025522775419317133",
                "331833417096844028387489127046520462953",
                "156177288931591168791994754697073299104",
                "194717447202057163434679353426029725392",
                "129605508808826700644334672935664138468",
                "225442015255226401649509380347857349695",
                "279579197559830994030771552885279233277",
                "228593352842799088081985898266386339716",
                "324647264476694430116801933456589232716",
                "212988832292109671150913247177098034372",
                "186788081438208774993533478548404872929",
                "45781828844365303936430216436237475412",
                "165490631025559989106431061039874475565",
                "166899070295243272963066953916036058578",
                "315863203520176912674084517416821299506",
                "124018340395558426312096005892537655820",
                "162952167732044887708375441013212493432",
                "285629963959631392097760964393356273601",
                "307940368271115256840096255962798569582",
                "84752625206313304680781306904618810151",
                "160575003240138781433043162863071699588",
                "312835186617648215415598532202780276020",
                "323006715048674039334677189510238599657",
                "15226763647271420689507756139607032806",
                "133478420022798679298662935333075378109",
                "59749061682291821051082860583577101908",
                "222105084701419813010013659821691664690",
                "58036451816157324695221144945834498221",
                "217344451601673285640332670831711469976",
                "172612712752759135946072056950776719488",
                "8599326979687569736705692274093373792",
                "150099599050622444890231315166148244751",
                "273352294784450008759344104580913282854",
                "276182821938392695037940875709546727510",
                "154306152867101247778416881665823255004",
                "118726575716928797097883875666683463650",
                "2489661346661382256946191554774017034",
                "252247254530597417117927613564201911658",
                "301259950948572462286274730127615084682",
                "215271190104511836239630087962375702240",
                "269963112139400052246531976393020349757",
                "207710927370619814375671628300502926689",
                "111176952776945520214646718770463856992",
                "137623903764410684906894163945326971190",
                "258184169923850839460561099106813811828",
                "282129337147715447982239605295379287108",
                "188883985407579962150582157237039564325",
                "129910332042305700445865833605059084612",
                "21087860562175357169410317783308978996",
                "178852220837335570880253554801736340397",
                "256567851947708620331491663287436354431",
                "254562765098323973841229665574629351347",
                "294570212977269123183472997507910321539",
                "36828433470708735354376283360514015877",
                "162105289678266975515401951039170184400",
                "138123201477594236259679889064558640321",
                "3002549321055286240145974399026571281",
                "9339312297831731396052019813531661464",
                "40420630251786787045483896333766005943",
                "78359856123669914039618798088746897324",
                "332112410771992879630539456011707977902",
                "268769238721182413651825808213224075681",
                "160468292878139777609412027020888209239",
                "77627578630978804741613092175691032560",
                "188677122209808149547984536782803983153",
                "322657192808995871402728064025572263002",
                "154578556892907387619747354417327077419",
                "251681201318145634239791436774775861107",
                "243228672848942409979047194479482140073",
                "152578288012931393299562140911472834043",
                "9824696859033417721879215556402744677",
                "229572028675176086032507093220673507408",
                "130402137993152255751634240069139659307",
                "295737394800184891826735425472831916246",
                "41143829166813150262775325445722916105",
                "137115251111271749738690763317472276768",
                "57802432418299407327224024411441541623",
                "272690258332303038595703981808003649170",
                "43034497094314927784023076526185280577",
                "143881567460152546291007030109116558314",
                "66757622244117316975500843471347505229",
                "149778207251807536386232678371279210948",
                "204929962629786669610943911374885044845",
                "190088082070030511625965242071069289714",
                "334231714014688230143223460291376054017",
                "55064467542336340293319303441155363060",
                "306640524703946226302487286028252403419",
                "271967256371891016956956134453615265035",
                "249077570540847480254059659464133241833",
                "68244110491946430881482950723623493003",
                "302788059668562442781297160160164535292",
                "312869479793048450458413034045046228647",
                "47238669174909585830198891489049845982",
                "255110056599442317288325788303177741758",
                "322127239920703563704649224467880925474",
                "78560033542743380420732182732723862613",
                "140450457907886691171270743535904240127",
                "186380816647525109215657203739642041801",
                "28716443811915234779323067046795622113",
                "266916496431717847316497699962628305973",
                "20899335079164970203175142716679844647",
                "282916860472360064121143773015755422745",
                "298032524196251355393568988056876128961",
                "164213458855591056366616681808541659304",
                "270584963263668077177585177450307322624",
                "174824446666330953548031460934499532097",
                "320732532419012416377803762617779653294",
                "243224708711182082646465146336500576202",
                "141509150578250118824147520108747765213",
                "72850934778219988604056882056859156063",
                "56830346444354697198715915442792889179",
                "141259824452614406606513380364059054210",
                "296061278197664072461777110878369437776",
                "247455847596236570091987392557210145368",
                "123228937861796507046666625827141270390",
                "48977162518518691297127243518839708725",
                "278705928596859834181919298314656086357",
                "331145991342244441732858697491503470870",
                "117657195583848072900309599602055976751",
                "104929306639262991510415018225872423232",
                "82434557666278492405073724109514116667",
                "37902464904492281315899467453060713485",
                "27860019048908461084373373123227841449",
                "177638052353656863569006574351177351519",
                "331597630484150205971670081385584046537",
                "311394527275824849328339192590704060822",
                "168008822456345939683618271395912912671",
                "156792294863005640467830161886237412563",
                "62850593870893499678628901652617251140",
                "330315715382315388623771611264641122075",
                "204764682246555748995739486868007518215",
                "154979481453839366185566600135154888957",
                "30714647277256894943403232723867135977",
                "45953305358531381541658623120710776331",
                "315089670368123697065648676051538965638",
                "309018345743570451804542828418543952813",
                "125185677846647392675898498583147541914",
                "141430854882779898516848038713520766453",
                "81832829555620442834482840837319419586",
                "84938448440754688077833982159469620012",
                "177076023120483956352039614085176228151",
                "163484735068366516737407618164692590055",
                "253746917910469571391359477754852190725",
                "328336128947968238835932053979826249100",
                "115286487589830480404605912154517201516",
                "138507806907616710388797502731758817594",
                "243836553645628035360605398216261491197",
                "210913853013263193596636840653414198316",
                "50839673821017070446164380666072505421",
                "82604886720624772920596684553542482836",
                "30089888623627854697326900445622233996",
                "64759371706457557787891894161296240344",
                "256052513331315410594531010151357753890",
                "299566173131227517974631371419604850081",
                "220962967998498093669546350514567213635",
                "150485018658635186011444413694015587577",
                "219647304101456506020714579537271108072",
                "73840305619193687956127431846324321780",
                "21560423598690718452498575169491292944",
                "172667388331007169246235850564761998009",
                "113847062614372035349893497751348858749",
                "25454157561804326144860571530478362125",
                "167423078456329752335400184360925839436",
                "266139287286141888119242802598960166890",
                "4578610567038044768070379904679021332",
                "325684481151293308811132552380504622054",
                "32094086217523879890389624683550773083",
                "71851995614638920050527162900464671490",
                "313390871255816922640177655473559565828",
                "301876191659082767537140625562826400644",
                "269370558221942842002422857865017932391",
                "248317407688915121819135642688431512397",
                "314856337224365432025753883372504409385",
                "248301659969313866701832238981118451726",
                "339840404315092017299043140000779978255",
                "60827372526837103668423466509026082882",
                "289127462758434580868847915992564686247",
                "153791232587955335154320357784087438233",
                "208534860958695521833883906143522352944",
                "251952990929913735786691607764903135600",
                "56264212319047600819847845773577216213",
                "230158721035935002097770587493052795906",
                "139556533035819189931635999609858739007",
                "247522880935497174231329398696288177162",
                "120723141959535148174708775070119333632",
                "295844540000920068142400551326326153531",
                "301189473313066447664768558152950357141",
                "90202843213576431304060757114838223002",
                "130196301430660792547802007039462665685",
                "279219607874517098895960716827387550680"
            ]
        },
        "id": "CVE-2025-52484-acfe98b6",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "14998602566133609270343165029930108001",
            "length": 12972.0
        },
        "id": "CVE-2025-52484-adcb3142",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Misc0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "174515425003606379763336284188169847239",
            "length": 915.0
        },
        "id": "CVE-2025-52484-ae44bd50",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "313218507187185836484284228934734259366",
            "length": 900.0
        },
        "id": "CVE-2025-52484-aea9a9a0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "137255505206531340152740067131667349548",
            "length": 48385.0
        },
        "id": "CVE-2025-52484-af353ccf",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_14"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "333414217987719542503133857909201442483",
            "length": 47269.0
        },
        "id": "CVE-2025-52484-b06f71ae",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_4"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "290811699037264848333411265019294516701",
            "length": 917.0
        },
        "id": "CVE-2025-52484-b0883653",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpANDI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "327063005244553053928878325934736158098",
            "length": 1343.0
        },
        "id": "CVE-2025-52484-b0891e56",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpLH"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "52399942835992991989442149271140929803",
            "length": 1275.0
        },
        "id": "CVE-2025-52484-b165f418",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "302753446666128064211183061914639138354",
            "length": 1257.0
        },
        "id": "CVE-2025-52484-b319b9d4",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGEU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "313218507187185836484284228934734259366",
            "length": 900.0
        },
        "id": "CVE-2025-52484-b50f23ea",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "337752517741807113354660641016320418524",
            "length": 13122.0
        },
        "id": "CVE-2025-52484-b55f2d2e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mul0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "179879152990716757128701782484165568725",
            "length": 11511.0
        },
        "id": "CVE-2025-52484-b5fb9b6d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "323397532488525556018571145407070161702",
            "length": 525.0
        },
        "id": "CVE-2025-52484-b7f0b3ad",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DivInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "325335712722205189805913947979995350089",
            "length": 395800.0
        },
        "id": "CVE-2025-52484-b9c169e1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_TopAccum"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "196676361916934732489323310951612728496",
            "length": 899.0
        },
        "id": "CVE-2025-52484-bd2b3032",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREMU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "239346008412498967374077912552661942259",
            "length": 1264.0
        },
        "id": "CVE-2025-52484-bd591a2a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "245056775760387581621387899445289275823",
                "191490177715841213837404049285059740775",
                "175377253904044987534590085496422642971",
                "46114447386544481488174163390078090079",
                "18546220730180658531588244704069914913",
                "1993403315319937880743620137509702815",
                "71983511065075005584576377824844746926",
                "140635973238962151224808714695015934445"
            ]
        },
        "id": "CVE-2025-52484-bdd95732",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.h"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "321238884313430441161625131752077866370",
            "length": 928.0
        },
        "id": "CVE-2025-52484-bf4753c1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTIU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "41276831133719133145729248404794441766",
            "length": 1428.0
        },
        "id": "CVE-2025-52484-c2298364",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSB"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "43789926783932047413458505165268309125",
            "length": 36727.0
        },
        "id": "CVE-2025-52484-c27c2f07",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "40223919009865642651945173363524566977",
            "length": 48218.0
        },
        "id": "CVE-2025-52484-c2ececd6",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_11"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "214135406673073388515781690505431072437",
            "length": 938.0
        },
        "id": "CVE-2025-52484-c3dd1c31",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "40223919009865642651945173363524566977",
            "length": 48218.0
        },
        "id": "CVE-2025-52484-c46c3da0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_11"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "12813488053075171503171518524275492027",
                "44877982516666554627878770164250051087",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "327345808198433363612486199099320573085",
                "290244699032707107026824727755730496125",
                "234617580768832284642432360240971451093",
                "166207064536371314831253196024790661585",
                "90377056197031754443961052908398815556",
                "145898635975834150790794615727201075210",
                "34153779385762998911118664723532667057",
                "57284408591668527721548876786747916578",
                "262538870065771228332383004286304596580",
                "88312538947833597049517799303648323181",
                "65628039336762840494405279244931847203",
                "165653957731602772907387623529279450790",
                "106038272025496142022529146664832719022",
                "257788864932331970432692932900715892872",
                "119249201497599096250308218638549071940",
                "131732983758068985828148381082495738747",
                "319648204470228050345464332880869355346",
                "100483397002185617358475642411624643868",
                "11894483712451327399787167494517313823",
                "21732654110655884606985628382011738777",
                "260382423556117664316914890412670056722",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "62383009055255344916280731600010845186",
                "252585916483657299140867203956552743266",
                "207835094282903325272471514891299882155",
                "175374586615263432395164658337371144996",
                "334334419849154873646919494136560127077",
                "286628011069813641612287795941074911021",
                "222581849173620289803504043534988083531",
                "1474316695877182269972681769985120849",
                "28741894509064326032223771681171806451",
                "84397390540635435452002551973728942178",
                "337356286674681979253580936286985329864",
                "257058414696423034034361279556248601030",
                "129423639894171067720927031016992307548",
                "96069389525251805151656806813911185614",
                "82581938034124105157621407174767403830",
                "147563334508532364211875619522643794285",
                "272169268689796372688623053464815453863",
                "121297234179407723055563604488849120240",
                "206391912989071121237422281475995407787",
                "315710961640974912394959369886687649935",
                "219707717349837087501392488757777144952",
                "304557638863903406605327519391591370834",
                "230305382853678170283150404666300788654",
                "200092937923263466135964880523342805057",
                "203173464199864269372696967706453945703",
                "165778512415660031308389953423545760963",
                "84569701937643027114044831880753640167",
                "244271514700153675843790190038802714160",
                "105812856944751256073991075402396075469",
                "290606029055710165947591326251291612345",
                "248896227198741797218628251650216746040",
                "236801787075142880259640975836461411997",
                "174779015572650093015938274995555154346",
                "309593860042043944028821120292992887331",
                "79055773184223883842889339324514531157",
                "166665096118278200929939388352785931738",
                "340073037389827633502270139512963517738",
                "24087966442392907576364782710714165973",
                "217643318907366014287210648012764692974",
                "306662472225995554466664578026416443726",
                "38567710096772505175359393995592939232",
                "144299338373544709894295132057124994201",
                "93789762807343956546665625146856093979",
                "217977632077801470579869761358338984615",
                "319041727451272426137052563918850806072",
                "281506482028382617175541325117237565005",
                "138797593988467585154907279318485172069",
                "35499040028949134494526664374947679205",
                "57072324507012591278857392557955331930",
                "180218159342707013482379606251630037023",
                "137211109418194771255659223853387525474",
                "62679388232453475037829527156749904181",
                "317308274524342276053208261436912825456",
                "316593678840460462271492842069384830646",
                "308223860064627149007088252798637601596",
                "98890864817484353456409795388943609895",
                "264280387540957232997251239000800820766",
                "112986984656356330621221358034911672956",
                "173580573597103490679838186641228162987",
                "247595485853245439791668032912082627510",
                "64156228146485087247968352300851204024",
                "318080499613389696342376651401822968691",
                "138423706468635519333473427214925117190",
                "261294603263758879963444642853181184482",
                "195145930262412517546518601790119654881",
                "297109977175623050422757981356795453198",
                "124141700396990465401180285807293575491",
                "99037543380354110354813856217113785484",
                "253867400309852293549794662445898601598",
                "134970927521206517557155535335029352836",
                "81174659333894542824752667965901087716",
                "304643067777694888169425132311092598963",
                "61393484567337450640205888283562210503",
                "338046048422045866274384250858762890746",
                "321398589762181236629014616481429741336",
                "199633381431730421237387666343227273826",
                "47849838209759260990500435800317201334",
                "93418164084151247370440974272826624085",
                "317371859270161367992543427635703258472",
                "114244631395561536076752055325409914013",
                "148508937434475975978931694631916133436",
                "131021983302201154469945367342419414635",
                "119963374256350689118038084304305515558",
                "327172880018583413619890698586357282174",
                "222445600991632065785444064283421285707",
                "5384180240568837254625287957358573180",
                "281752092620089120561733556255164453919",
                "180836707043062230737981861029485148066",
                "263386305191522335620944703028429648151",
                "189453493142088195676228970931702270453",
                "274123547930189672200011312020642832939",
                "199437510636671384806792301567502010424",
                "97787645969781561459380226751189629149",
                "212535102368122491110088904098075894655",
                "332562438543155371306722480516041610492",
                "196031640762262898774640409068732133108",
                "214985685482233096381651243366781421518",
                "147714152421798562785773212946629160552",
                "98911684608983365708399730948815529918",
                "221977948535848173558929393675690445657",
                "29653750314020887380037183995447650227",
                "170502179898263667847779144045154757087",
                "65404098580770402036932912257065943911",
                "215943936444130607183081688505039182749",
                "286646938441090293135743483426233342699",
                "98991603519505527926448100784848233091",
                "330598299019209420485707624885165198517",
                "59874433634175070318479563505274226521",
                "182839714633254602393439772714905559465",
                "319694311918261598151415210159128739059",
                "299249668574876090173610642812991210607",
                "190267023027932013221164789893305468000",
                "61245530586873808947137267688556952911",
                "51795907990329132083761313185966742791",
                "110875852957389141125290695887449130090",
                "132578044809341509800758510177633429733",
                "330456395435900574533197244154204364956",
                "293548155565510779830070327960714748348",
                "329487026556138524119499009918474696980",
                "147102541380497879027874540207627850789",
                "247826676954529275022161916089102291553",
                "142555300593192804975672281486331619345",
                "138127411787986544673701854379107341560",
                "265052693698119253568654223918056913329",
                "143884111932424513131019560240553698036",
                "151074528839948506950008963778371320264",
                "17824493118824463501434760095650057346",
                "273077546800265624001216178160038153903",
                "133858856962870927859601904703343566536",
                "22012164742702702746602764259442249825",
                "339255269121765734508736961593098513462",
                "74922319791767491897671125248843376283",
                "876992429040180348593191981127681821",
                "177349963300793106466438610261323606466",
                "18631175576651909800291096463145204125",
                "37169663288032627360074251875841212427",
                "557453382314737010271290385446975877",
                "78044717603952675807472264555242432693",
                "20089270791078096852164827373735722411",
                "197840129910728648794075207706263576620",
                "310612560930892459333377283435180395191",
                "35809731568706372605488377468419188847",
                "126833214105934693353355819918187552432",
                "250234170655322684662151526209904301462",
                "253250127658154560246848295167124298420",
                "2965127127942483372213455660182193783",
                "185444857929376777361272786431221621871",
                "56340277893847129057949246671426038196",
                "299971451399983303875730854613171674138",
                "239910920104786026063678732492173696715",
                "55933924408838734653187406231857102940",
                "288846318026902864838012878755937867142",
                "236957290844490913525393755743195781731",
                "175825325202257117069408253744780736569",
                "154691556299729964639122896876486375623",
                "11116389286558934984699762024617160898",
                "252839345754139044083088631701221340380",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "66829985047198941670527981004377860381",
                "91138680865276786094592837313573468534",
                "237848800845396607515665231088013987759",
                "34533207841781618503610915902933405666",
                "207050470041867178498404705338693324742",
                "288548512797514375147810357447509544413",
                "277453372978024050267231628137135221115",
                "326223243152791046596660730497278569792",
                "152970336847741985876928902127909553149",
                "46168874162663575594624565775984660733",
                "249060858819926038347673257875713680809",
                "324529703545167943887605775116554023235",
                "17801317773625251211016601500957526289",
                "93153927971653918612651231751581268115",
                "221029017059050142517228093813180501256",
                "4430003665942662694341710546627528349",
                "1289666282747264832517357572794874405",
                "114614715916592254961504149477227687026",
                "15988421560201104864858552771771018009",
                "38321661543172334905480272628948525412",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "21303317007129831601402943089777426944",
                "318358497013429959408165897777727446022",
                "287879912518053647659981810705039030201",
                "207418256114696085129723687554248196651",
                "280024136666565649034242662197708735998",
                "138242139883667802716365531600975167019",
                "189481198936517449174293614109951684981",
                "292267005627146049009670355773491674380",
                "68743526021385835109438374398568124034",
                "119805543341541917657351809271855834204",
                "233752914939346292144469352455146682347",
                "75795481095906923813098107885683156517",
                "289340716826973363397622431170650417963",
                "246106319705143671170388267800209834758",
                "227642180589404067482243361231818150055",
                "212115068921485600066241702558570661786",
                "144963669313361052360525074114951319126",
                "229804557422661179541331581797832473522",
                "31815047449194145620475202060223146223",
                "119090655812663754524997090990252927189",
                "326656726104806785426523325421752221755",
                "296190200014238567534747113905595063381",
                "244235831573088950633793121232755929387",
                "208161987002069758136758456559003293513",
                "88163954334835380509437453044926748577",
                "254747825666519323420587931476038406430",
                "200251319832090073968228867615404270177",
                "51723327681414282099816539215887432698",
                "118945821074510648956905497528394483246",
                "237876998015628255012466786339461948578",
                "95773894217290552912526676000926404190",
                "298167263587247736880521943946921187976",
                "116205195329320234027541501698259682699",
                "142825503944198397811921726208489252811",
                "321522811020343483271146674263251536984",
                "115024363050043795698699988421548045104",
                "203693572931383490958778296591868538888",
                "146879686429111725964098176649278187120",
                "303451549340089131557553527642123312931",
                "80347702203637617689231627114126555035",
                "200290849724115555338603325846263583211",
                "230285489794203620086143645314604164765",
                "211706604846930477593769484301450543724",
                "222101884574721844349526740353130640404",
                "131668718134521009690344728688682757805",
                "52566414894113307289016230355661099624",
                "28827620514460205812547354003139962750",
                "169455631354399360462904608827858168542",
                "167886273035042582539302034635600696245",
                "15960145971442266205067395346945002739",
                "171512589781922268814191414788218055037",
                "278232928567852908843742526172818538382",
                "55745969861115214666195996438330263786",
                "120511588233935466199815724810948983377",
                "184409286019443482548376332570428596361",
                "126753340379579461667614186642380147174",
                "111466938904711874361170298557485023421",
                "140756054043011183729269226491578288586",
                "225908055596464944577988665899445471323",
                "301511166396282513639714327922163938027",
                "34893641090327110240951604473372883415",
                "263546551330724567909632945577763645320",
                "173086573272274475664304086346895048418",
                "181298243801784474814505177043407973847",
                "125982223913944725165709497740363731020",
                "194167008932279301925333969423108213961",
                "279541997400323677641568053015507865996",
                "193159489417285182119955760252812252690",
                "92088914042107503344823389572650619260",
                "257922177469972078284334539878928771136",
                "69179784250383326265585315382124178798",
                "167427082225870164132494577575515436804",
                "111584752677709253808022785532725684240",
                "201739783158610454433518883846046268691",
                "47838024407686397629351518790353405050",
                "275705807261210707117597725933852433029",
                "110634264651292147545189971259735812741",
                "114532185982892509699942454834644498083",
                "7949576757171002209543284518781164024",
                "201686846616631326853051363528222009743",
                "331562517615839193236651400733652135518",
                "333501656180023429061147229595161776275",
                "195279851449295820434015801717034478350",
                "119162574065098266966588128422548791602",
                "171281515978218756201602894545970435184",
                "111373194234510484819304391576420737287",
                "200129816564154625410141424343918942339",
                "207621185993276169620854914388661128933",
                "260848116019890890962890048667445080199",
                "288922751008124859791920078302860598629",
                "20985363093538306267736033106736245783",
                "46635117026598409630149870446364800496",
                "169877506497444923864011708098961498214",
                "146486868220658649456116702235270433966",
                "297649076670920045457462450589171664528",
                "86946607803799451849382972882510586568",
                "262834959396911258993428969964159299730",
                "279422264169210997483209145236928828588",
                "79142255041405753562882046167711896622",
                "247294295290573849785655464218871567164",
                "23167473474245688941657349231899593252",
                "410814240383044609848616111224718712",
                "209664115596706952968360274892511595135",
                "100573227042709814985482316787056294666",
                "136400683385798128286719503679215988424",
                "42639009922821887391325397188830324794",
                "33356015086948924677306321236031818366",
                "180928608229108157645456166729789561718",
                "225051166457829208986762643964928474789",
                "72560012989005060252050453599666806771",
                "183715792111372229397971309838630674754",
                "29405134674947948028575538312155535624",
                "129780852864190124463927227124184609336",
                "160617611278364885716124528449086669465",
                "167829781847919998406097761894994029384",
                "325229382920754015501532714255296191406",
                "14929015873622529544868747298809171080",
                "203354694558721875786988863036177839949",
                "113423419950278215320289414353319861108",
                "269999160456369723494263900556383518813",
                "190727601915919796410105517785444495415",
                "134103544759393506838788707109232083608",
                "205104250223045305100324984251811822090",
                "282652447886923141159076208174834486304",
                "323136060216102843251432124029186876931",
                "105007174190785203061793508297715120153",
                "168590279337795477862166169546562027060",
                "51563659250771967934913577966706201740",
                "49022467555925692524998687345444710781",
                "283118166849377242399249302882313320530",
                "91706289219821880952388431389297921445",
                "202528170278903897719289868388078481974",
                "205104250223045305100324984251811822090",
                "28828771192525698130839660567327751428",
                "142454870378044274858387609976055382817",
                "44958579103953368887025398626724985460",
                "290325146690867256128527603041893682552",
                "310349616017058021852605953690270370823",
                "260607644516356795925542294628301643670",
                "336071971507117342571266269911764797033",
                "76876751292121210011411116639718023434",
                "11977903989846922469278113928766191259",
                "205104250223045305100324984251811822090",
                "339813329342562835657368819426144353764",
                "130383169439671288273140706853238111320",
                "26717967443687563935969522445987694015",
                "209072802266059738288038666542252972784",
                "19860215795163639595990602104273983970",
                "335979035489703125972197420673177369523",
                "17488271715453554968805837163929646357",
                "158241776156831203380897164492229765332",
                "309749267963370103910956803236423030077",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "280370451747856586571303727883399081264",
                "233871420510623279198986081732680960200",
                "130302828024095566340878384053553882978",
                "215712402938483903836933192900279678158",
                "49490925502687436795317554113769029988",
                "322240061633377560646082779095777113206",
                "32820911101499281331512890567123146514",
                "295396773933422629762628375023440126441",
                "195117021166936156621743436538894573603",
                "72044849732348778469523827564248553231",
                "305772964292375631698100061574698313489",
                "244296457680852434619809509828539354973",
                "200064077164563555731069644633879406104",
                "224173103278060554306734260097377976880",
                "14478887778912604597464569557534392148",
                "311259289421855993463728829025056404403",
                "250918092874223743517562023798910260329",
                "170868747400977317844744414265290504120",
                "321045171065471324471096460428556662203",
                "103841539297108605235663820175005183834",
                "102527212115968902342049690988830751149",
                "56273913562096768950935771970558584687",
                "249643503398166807777296515602818097460",
                "100861228497055512334298927850895251170",
                "334200287904957215176042931085585708944",
                "199072285596944346262483349225288608577",
                "160285589000056676478158571879182653051",
                "339186247883603545228340894556722205389",
                "300628774794370917073724242013094891486",
                "19827483989365295132341295555347802811",
                "41660341219221461288051542033421076300",
                "119931025346334765595270760991958183003",
                "289484721734420254224571616112211428453",
                "324190148748108690329203519851366926694",
                "282745125573140260496691574161100515069",
                "118463998542140801573191045247450935705",
                "287188382763142862705205528827721962611",
                "148437265869009556421958419837862668497",
                "4050091372102025472024908668558607911",
                "111358911905024388153745519259228818857",
                "209906211787066654285882625430199735267",
                "136215020402217258833901132235478015717",
                "326937123962731040211124808815068334745",
                "291088423072232390534912802594147487529",
                "104976959131613895463297901351169581226",
                "205064595949084810887729791256549780192",
                "182786952015860275566143839942882127593",
                "61400228628132970842038404506713231519",
                "64943426193875293806930209824711077068",
                "254597560733682763205682799670875346772",
                "121796727989667702867618644221064103351",
                "290697644341204132241281833305987777440",
                "198902094450740583343308670902976707664",
                "133909925137628780781536109000164601903",
                "245709869361393587031983361979914873193",
                "33302245067928564523743256399696228766",
                "109620758775373457222588378354044663929",
                "190849766016810668624963682360588400533",
                "115226483342611799380477112270369373828",
                "83943749145695852637270920800925503240",
                "238978758878102614204569046569779495633",
                "172908463551460013831603305299063066877",
                "266127570911947128235688098001103264002",
                "99136743005836226383218484167902320770",
                "198546950970228054855564109632120669322",
                "208190012092996069411314260899989480387",
                "324964444644085918630386285316225676710",
                "328677843068341207030262462926086751352",
                "146772160032717144193417533971251386092",
                "124638124564299242166724503885142781710",
                "322114525539005172539584420642224294280",
                "172828095180514270916701571993734605632",
                "59129036115533587541781965670135825714",
                "101501431266523628455385465426310469597",
                "60031612551765395019256264278359381550",
                "146384604465436697759577947726987800173",
                "160158513708289376265169510261895554884",
                "56454184645055953168770401941866077437",
                "72479653315212545668971539946356666457",
                "107962432534249165398087093992047501344",
                "159296379109653863556423167267005529287",
                "206700826640243552324945787368550274862",
                "6590640923811282571118256654733425714",
                "32371293572841786149702165995357825720",
                "93071759505228954654792882941069381748",
                "64344111006150649429737498866766553968",
                "12834507859377949436089271295307974898",
                "189888351512451760770308691969711837475",
                "336407454255167980090769588466005468886",
                "160321544760078117896398890822941283712",
                "190033763070836271640958457071438509852",
                "83075902453761139810587572040661755946",
                "162196133841386752614846796035371558124",
                "106838643607038481258655313820373808734",
                "284371739866100266987852891861278092132",
                "311447977341845452391052856941607230316",
                "139186537507694023257196467621835854428",
                "52832597204802095151448332089755626663",
                "158315854865831534668430160573871988606",
                "54440814116094007790822656854923310762",
                "119444911312587931613970147524358373262",
                "228394824698977293533249109724483781305",
                "11658358580322582355393019092195969543",
                "260155794881882828248222923966575514955",
                "179724527216819067147616461685459850366",
                "197889356913479476875391713990515265044",
                "210827795573396164767485908274837895903",
                "107731910129018487755304472803998363929",
                "105677497305579997242464430362775034871",
                "171000604741976611832343057598507656892",
                "140789361388505249147549493346734682645",
                "301731041203806262780526893501325297959",
                "234882338328087368594376887531547006515",
                "48796587304753136023549422288145694122",
                "34602886628102215671837368354650025348",
                "116986361108338796997057779292162941423",
                "220299117029236296952762083575986618320",
                "324916090641406259037145953082516823697",
                "63319848088731879862884172650728422821",
                "131999359574601342797284379007345676274",
                "254534103910278955574204006497647575953",
                "87049924278055250811597351973588232157",
                "328864076341519889056894925291699007620",
                "96633450294189781636361723216579117195",
                "4850921397280620784033707503114371582",
                "149760456916790571574826354715973818315",
                "10906218199276448976952394141829456843",
                "302526606173863641718937759863006482432",
                "154467555662228754938925119639041053605",
                "69087761182492149784721476690911130634",
                "174811996821278548822985941127492207784",
                "208401707205465842907756773666209784603",
                "242735141676296879365179681138106247788",
                "204820502985640919769301948930275137260",
                "13885010559372081654767838497945550732",
                "290444709445190773449411871786447713391",
                "252755369618791320888339745509285478834",
                "333718127412925413215057271660784488310",
                "48703956783428948456539858411715679027",
                "195951333778355061620663603786669917061",
                "195166324124845741204011302977098674377",
                "143625149664117216105349514845626931358",
                "90809915191994903444969282205445592674",
                "205104250223045305100324984251811822090",
                "60859781645385107990155050453850449399",
                "295507960697572047667665949105877563319",
                "244162657627901814820784489733743930681",
                "96689692808766590263168419127062991855",
                "228537991663356904450959580630256382198",
                "58230192670274707684386958968020963661",
                "220365562566594895422035531154611983794",
                "58012208745507741492762297137532330368",
                "205104250223045305100324984251811822090",
                "175745147428510737470646828728766368598",
                "237656620400039650637655707917387715084",
                "309139205753451535496449391147940519126",
                "210070629762044900717275606798417896573",
                "333904127156188763731305158292345013781",
                "76834412942263742852295009837764600328",
                "45054983779901935724694510164692466426",
                "214533051652205933091533067568037985755",
                "205104250223045305100324984251811822090",
                "24217160550262913105225673224250286062",
                "261393298491357796789367103720856592424",
                "328445865003389659210999841565836188246",
                "65102097742022328285905599333328496581",
                "289062975544437797612182249129148382436",
                "136107037780832161984094003223448980646",
                "103343397216240891307887278162985380352",
                "188651133356178877427333511909273856339",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "92550367870382018642165657687609620862",
                "328702413299315489269505893843335427983",
                "31123478154376974615272386740758369561",
                "261698341696605803783391057742509255307",
                "278624014675307240582375497028816507437",
                "32657729120459166443339623875731029308",
                "103192928656901071590636869629064440499",
                "188276589837480007082863004946274538696",
                "262037080933601073291246368519142244303",
                "305772964292375631698100061574698313489",
                "90495004074696248080542765350157069974",
                "273789233783095591990129961546328500597",
                "149285256250150326807235283385510094212",
                "324565890704444863318234567604689357047",
                "247568734268089134862820319026124149995",
                "320376466370416419671022601354006819320",
                "224381111912726973465631401075389585752",
                "70314083466465200912027395945508519471",
                "244802121054340263628251867881659066237",
                "243577015918956218008978108891923526420",
                "248503713712796289026801481083215680250",
                "254693647441235559968700708539378379136",
                "135095465618527043226587108939512324789",
                "161786395126456801911021513745836402103",
                "74250889850860129734588928582093913397",
                "187901576856726037015128765735441335507",
                "104819036881235872663162102023446860289",
                "323609864461448700105495203201477043627",
                "306302269449215564584574710420403963415",
                "304009574840521205904318323326730907236",
                "167977788972897333837430916041144528572",
                "84209285230506102657527985043850015351",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "92408203316087084164920197402875446280",
                "270043756219509831988255440084602328376",
                "195375130528919396803851991794732474659",
                "101083449104929361849976131949931692858",
                "23380113620487843380001936596782940504",
                "214068601313343077259229457808075232711",
                "266559835652307381448778982486028415491",
                "2935580295858933586834254941974081106",
                "219620451880741313431451616426639082417",
                "148523558980470181084249511800014188365",
                "110800440673167511412439891198452423119",
                "23770959989429902515709987866963932401",
                "321386671226757685381560559041101789528",
                "34903858311098244022922308044858704517",
                "23245500802008296975895218954276705280",
                "36987016261074064979574222037146187983",
                "192144242080559492754983639443964339662",
                "10517556291708800501097563063854297408",
                "64016901244089895142711435901299392868",
                "326718074818130209419595741021045461072",
                "155841032135302546820360689294690631508",
                "176561216831012377175559816673987992704",
                "332576293785817955809698657085202476408",
                "295338785201640426008402763292033566840",
                "206093101501917737420485337760206174951",
                "138209443631216800617607605686263067277",
                "151749370441054512468477428665001421764",
                "102226455186090962789932649636874676734",
                "86365278112985965952278730690490734399",
                "100037812469097183902803203455388398447",
                "48052018340060063768811575275336987730",
                "83451513606284562276232471983037477962",
                "278347397986082323244370045002095955443",
                "120344996598040993891048064022608461042",
                "323636943049034204435654130620392768027",
                "115861067989884752671017272148603348396",
                "299577920347980917238005209588216733644",
                "12661326601660582350708216175894318252",
                "206791362162539255415440508901033636625",
                "114219311053047417463124802900276646087",
                "167853590285128241648426178595947788080",
                "71467530259039541874253557577320658084",
                "158924442957457487901454104686380689894",
                "109952509886662561310412767482144777702",
                "86625308019892719633330941361001263005",
                "263888993513814565305233985746066294113",
                "204118356102268635739619796280364838336",
                "253277958861004804495275575545967525364",
                "298685186682546645455346380754294827101",
                "215084473401495858986708309695488625806",
                "102190156038373987016096008356529960302",
                "11831671307180730198807626566927144638",
                "204757719562384989771072847518054426180",
                "322825559569819562072063415852151018214",
                "253861922097532192013060577106908433263",
                "264921305262554763458836283011941208580",
                "51959486768025280428293698940611559063",
                "232342420610562237863920659979875198469",
                "66409420589090606361090731880926999793",
                "178685574991327345422182250284473612260",
                "296068556315149923353687182686884075485",
                "170165751595480772338558758269554775342",
                "109821130955902855980669262143165184360",
                "101979690849967638979969555251162050090",
                "265118381881444602264651905228462481235",
                "64169947513522548290603897866871817754",
                "71215858680709829650707572522946533759",
                "141883701893378572489545972987119878039",
                "173307094648931071519370696964323086002",
                "207506989335139356086113889179863542540",
                "171502488075653329986085229935269781972",
                "14838116932567704160063781626772604633",
                "122024697978105504482869903317571793167",
                "56611485595912806843535714984329248388",
                "315681873639419038924958431088877032835",
                "266934626830984279584877947738996631352",
                "125222195846038391428272146908517732296",
                "32403099341856520558468796200172869929",
                "21788195640767436556043694884215480715",
                "202526460221752606130279818505043469046",
                "27480071008951023219524799042716859301",
                "73937967512063795625658165388497734716",
                "25976471606633671251505344786763080490",
                "245132947260979728315338414026723237594",
                "24596881553453085601548712246530242109",
                "111299240531903171859492179933988565697",
                "313210872978736528505850282457350093993",
                "33919142811854626679035423319091574608",
                "296607193402531270516687206554562270480",
                "640482606189599010166987511190301021",
                "272903619745411483610403685717303069593",
                "321204604341398972985538288167804712535",
                "98096683971851280591101186769029057858",
                "332574879055475749530276363799241492011",
                "266824249427872347005401975264412485893",
                "114824822756153012077442165982762374557",
                "320741031901078638499888031808025050452",
                "151803189687332971871446417772735277862",
                "292938838958158164287126772819415864775",
                "237799403328510978452373721515901660042",
                "288922751008124859791920078302860598629",
                "296040375700148826483574348280966002570",
                "286860019631074167725398583468731664758",
                "202165079236753444140293601411412168899",
                "309554795633255588567133691693549412583",
                "311142743977627583083862217273980538626",
                "120690323875473370026234364287071569043",
                "30660292801631932432906033593842612704",
                "37488279329155390923229802284950491910",
                "2348683227692889537365875641324690976",
                "201459128143694373733323111353007709611",
                "68316874142618406157853264994982001771",
                "212351565419157621667442389076530694718",
                "215529086046698400495773163320472789390",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "104109104612253244043165041582845831416",
                "271564134949092438748352792269149139373",
                "65128041570489465716188913084054398526",
                "106700627055588538343746138112116290419",
                "104458198833905166736606657503113768749",
                "216395799871024758433084343376698795027",
                "33369739418448266314196485342809581543",
                "111768557897940040505911578614108948090",
                "26103081454106944843866391575662899428",
                "105825159681680124751938502353232660236",
                "233053508632831252120861201409638667788",
                "261653855811795640736908142398549062610",
                "147060593675533347441707711358662132587",
                "299935072552231235057377274825917995646",
                "76498054306139758457359468878786941637",
                "204272978014719225250489271482391969283",
                "167710052517412766277396705186207723542",
                "166922091057497843109025946255115198105",
                "243535835787248856813770126137322911821",
                "77386711620587190279208732689653315867",
                "251589423988255684801739256492067390856",
                "294364928644815221368252846212289076518",
                "95069295877017604928074624344152611496",
                "147606106767398498839409749420186718760",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "132449509502269450434908922752847543195",
                "278092209477695392529143006021345902858",
                "160357068656143376484033381242469581806",
                "164641418467649862805727581536063384612",
                "82045807676074293712525424439991933212",
                "114307006202239491307439053377920328823",
                "290652998196605520222698298706756499950",
                "121134047639653608330111552509965751929",
                "171103960841422116058437975924548696545",
                "177302859830634877789348981619538412647",
                "99437849868166680341859001066825672335",
                "189517146610879225501034049743927931272",
                "295512726953902212198364598678584651974",
                "48968667332141768430925386923638182227",
                "107095701084875128448583727913311878206",
                "4870572664194178097909187945772475256",
                "92048409062418930937894080735192041985",
                "124875152416394846872529747692655442936",
                "334739080859485155837454486380087339031",
                "173452598811320707777612863429556064911",
                "8148125141766086220731726688951334515",
                "280343574671493498194600016913724336650",
                "115773271372936854578675629615129541837",
                "225690251165985384700489698287884484427",
                "327355997177894933927233383031396929967",
                "223352287543361377906213947896041616038",
                "55414261715368167465935825399892075846",
                "229440233726364073883383364956449515166",
                "213936242795173844786063414289209365717",
                "110989705088532264070402520917397158739",
                "302264643357182116377491038322359869659",
                "2532622970714970075639437052786426274",
                "253311786937562631814577490831915394542",
                "126623239839853179314860918245124921385",
                "11660579361242292465858520895561326202",
                "96851075536505408414428192959965340770",
                "237414589199522720236422338819020139702",
                "239483228525125477989203240610726930057",
                "49069773456227712997460039495844880233",
                "41085773929193745921486203903145639143",
                "77024826343777122068615540842250004445",
                "9095192120974717864848072429722444987",
                "333030855870326741151800918377714651350",
                "81659858800017928671670327698700357980",
                "289593309408367247057357163222210221499",
                "200135729936617669186186541019147351857",
                "269558901990383665471192290527021984205",
                "129479023610516853014764987542600180682",
                "162850790302732703235680411570718134261",
                "224918123753562793838598884519199718467",
                "123429249234685001680459161099348696461",
                "144356765734629410173161808278432364587",
                "276197002004859947663506680347005853177",
                "33086073095062602139586635936614224511",
                "56176573731182952305685524887633520985",
                "299016254596469793160419751190049552833",
                "204529890838593992374481238866952928802",
                "122039572576774796639609831380242377221",
                "275748357993877142515847750692481603350",
                "178224102361865068603686523296578426875",
                "279333908070200244671999937039423327861",
                "235188552416180899302128011099295981017",
                "77720066869031803527622752401631599131",
                "235745705735041976959778396274007986246",
                "84734210385643574429777260536356704339",
                "232164696955861833009089581200755332467",
                "126914662282138295247986801575915202304",
                "295306530914325774186109133170090612595",
                "208155606231244872648097430394549234307",
                "54753535461295878323446812453662907957",
                "88073454556244851829293431608805222509",
                "11077103107265067181379714836018955620",
                "41049528479034537243907992290684994008",
                "117949520488038231622594358656356088450",
                "217990059007577342534638813393291989011",
                "335079838997063876039124460567058704753",
                "195591096707555948195947929955458049070",
                "304171966572329255304640809413957168227",
                "153351230454052103289496487489288210967",
                "49364783964805733564918105153777461174",
                "265443837186344002630198056517222405834",
                "308526948574984803867110930229973307494",
                "18481225937036913396386791678033136370",
                "294884724472221559375795951224956497275",
                "42278371347178708009624575993309657656",
                "69414035230276079459092772404466233723",
                "241715335812582208378553984130795976590",
                "297259161151866265476865293078940836923",
                "298969641132574913124980569845274790451",
                "7164124845673402374740278952896442891",
                "237965279526465521931827190405693966849",
                "31393652996836584194334959202163671616",
                "279633561977516012351673139015885989541",
                "288926397186269818929756923730616349292",
                "310718454273341925085144876393400716960",
                "340058741510044373496810786687672702268",
                "125514116277391553086097225564057664435",
                "67098717646857231364784233276693777874",
                "99569460875074787754994919060815674827",
                "271615020520359046092946002731062703260",
                "174743750200005342104795173889393694502",
                "175183461407984866939427118840027102178",
                "125349489078414575175277753114462990354",
                "261397485590065699670729894843248162430",
                "102010594578797854062437293874604167550",
                "239104967661595731634580572815416033921",
                "252724189722181942298432002328935914557",
                "152116214382561580355414984587025980801",
                "337271278433680920671843586775197389178",
                "209542497953832422833817072755551851547",
                "232129539875925560980416286852103455277",
                "221899907705505294756895522161751681008",
                "114005721743128460642957762194008205560",
                "304530883348572415453544833447387642096",
                "332658628706629918867807015742851555619",
                "255801786684888531680713388922872348199",
                "53739505897729542698323999202470815952",
                "97836700488610708605178098190449124144",
                "3454448581804504387253890688391109422",
                "278490465246118416405411297718680175234",
                "298849014151173474605718837746256043072",
                "39761668231160247456183637014740230699",
                "313406425760642869628556679438880673285",
                "189927320355274728758443942669056033077",
                "70252659329854146123153405021340792359",
                "264015647469144183683185615199156988435",
                "157855875523537971248767950575299272079",
                "278484202873755372240372366008022673240",
                "205309196341585237068075554731330996913",
                "245474986705597590653029246263115292358",
                "255781862092758152018603334141554304743",
                "289026110604240553213839388281524725950",
                "19261233972113969284459773199818713248",
                "203849455159776469331787525019581373091",
                "180916306821447792807916365203848604178",
                "303150505031653787389269618745013831879",
                "158458083478978280768005216261973496690",
                "313820622292290471031884465792409036197",
                "14045488413769822902450172354288346752",
                "324503966358192281171640319057503333490",
                "90313582796397806205539190251566081694",
                "214880726651079056843010013674422890566",
                "62746640851814107166516435596582373842",
                "324235092965967430682003809097802694236",
                "233274594505565441601825624479043108256",
                "304075539678257279230255201123863837704",
                "6965594321646106477265283674762837431",
                "313929578448986140527603522115999053359",
                "212667625502896347258997476929459549450",
                "314563388845189547027440813843300380592",
                "74334109821656042717741342687081352156",
                "65144343525039503509472128312692858425",
                "319451213968799202061348506337361095359",
                "122218291808254113220364475579637586092",
                "227529968590095584161942813160916535410",
                "187680981398965864172743211866253072872",
                "264758522482303209356046991350571706330",
                "165921137033610823457480918855252842653",
                "1329929069024722269079944278437708690",
                "99464965110130092172834482536285790928",
                "19806819900272948394549089787556540032",
                "246204646477314339204067357450480578353",
                "904958053459442452232006105971276275",
                "4111339088319363653542260668174542812",
                "30588675485507489304368789834523445316",
                "223117531515195378435700831380536026704",
                "236397390616710810678906534101202042875",
                "110538814963897840777995992283667971334",
                "201242460323799739615914587980439973999",
                "25830552911171866434286238519859209757",
                "207956433140378858674371116163519237457",
                "240057039141166752038408947606123225635",
                "278489859873639615784816047003299353621",
                "149790609784871670934514086510613560743",
                "172370858210385069324912286993175528760",
                "268780749156645452508369237350442166479",
                "150162705758552337201460303090054306310",
                "220314498906652317860427199821482480973",
                "129021529729251313808021069345835940022",
                "88074689386874922064777178717952784885",
                "223710081118394766833560106218911974803",
                "94771738121328752540631749663205563514",
                "298283889644858858274671946504901079857",
                "330618354721500461758978922692426312679",
                "292094457011747254746175903591963019825",
                "74736204427107429291257781468888425824",
                "10783709296808448719442408000671963290",
                "249371947300571103565682771822649133445",
                "22025581017535180461323119557388397736",
                "49239699433801896592358865223333803313",
                "40579139437076298049717495950374296277",
                "66646295993315385006072723879971387257",
                "122626913607975269187974212783159166036",
                "324543726846747558083480026108747573104",
                "339101802926839482108209118572959534235",
                "151890768737970559888291395499144688845",
                "138855435733928099035223817804572127941",
                "333194367271622899572983439357985264213",
                "104649495733828543936681100780893436290",
                "172605237014454593976343050402203063585",
                "244147821249414567657380651900284398276",
                "308494451629229155003936183266730130700",
                "232726394149813061115252412584735987174",
                "157067045258845345310668198300777020579",
                "65884260399396321105735582460014943156",
                "108980190276597477528188882009720356324",
                "201988687452331104788574262969603296242",
                "92062910958967293731118465467869798988",
                "48449620354851086337276043503353592629",
                "333931863854308779640714067919970884344",
                "169941295965410269557096417851904809073",
                "219623452248277687926209619129545719923",
                "141920143916389572066101615287552428778",
                "286292294498676069549550333794414218853",
                "20106146884401135798233144086143683877",
                "140705366889503612459502697208766223102",
                "108360669292260546843741826080461735729",
                "167184188530258601507876420894256690823",
                "101375202920122525119826090412265928931",
                "250474500109255123390376448141707930586",
                "309900553216776916859157809920040188264",
                "134277890195165984303200226679482614158",
                "33795432604369654482744318334544509397",
                "249505314867363997041014080683905371386",
                "135472311370497460673101318958661086436",
                "130824903882892368775384758719724695664",
                "318931309605297071286077844941331839314",
                "9608376684740691147054492828217787415",
                "55811738561826515982075323535654470348",
                "283108316044541222180872646430347431873",
                "115443799728080972124533615287364257647",
                "233103222117659039581533825554192424246",
                "329920889219855062663611831766970224527",
                "191863174812755299058387255561520345466",
                "79607504612258272633572790063753806010",
                "258490040938542092467352749708138802405",
                "55738935657003502884759289185251490490",
                "339322480709146071927091476342115376448",
                "135754365742269027360240266535339784824",
                "196986700104237707079218344145145745929",
                "135336865890197548141241598924853767223",
                "221055393380480470469637541889192889569",
                "7615178878742393235123315314457023998",
                "317128148997861215766157328895394480312",
                "264223766139579331373185174421368160197",
                "272996678117380759798497631343218402661",
                "188601733994734690428012601738706050035",
                "27857063077915993265975224882715924698",
                "141953746372561930864298028493304219681",
                "284181824313385263479634016878197196288",
                "96660460193801322757532532577459951172",
                "11731693379166948715545237523404409512",
                "185128155430593779904224922559021196026",
                "296332989494403536036560043425366564202",
                "63555892491559822398262105555784990176",
                "311767003932682600070777470167247085407",
                "118340471800856440110915156857968056045",
                "172631872015168599488410242644913974727",
                "225792089556006875590072472854406875264",
                "300723608158037208387826878322394404566",
                "63232224980070613549195716464863587739",
                "114839781038332845115280667270086486860",
                "260397975992431031195341896153761263521",
                "297260441108647441713586754207636071714",
                "270661257804659054667376443742473984133",
                "32986828428132818046260202391382212320",
                "83894263491275119596240870551505222371",
                "213920669997488552360779844066840187061",
                "224652055606867374329598147915319387345",
                "147332604864821594144927660502298526817",
                "274174016358777972814675071994496253009",
                "82251596406379270765703125048394632494",
                "53605842960493902566714586897932832622",
                "185663482965308164932708297935350192424",
                "297081683458420236330638483088081473456",
                "84745681264940656941868380312701417227",
                "226654067050002286206357807378139618952",
                "55964045467529992034737829394038304696",
                "213810196083139666947914596963780953320",
                "335473308666372534040389909908941498959",
                "306445490258341383007148430186808350128",
                "121858872924706000012621186879524799947",
                "328042266502167979951818850977831632230",
                "90292854946967615223255687653631213296",
                "96090777729738797481463686217991292960",
                "31911589427630759293048562883339313250",
                "211798727558287059646492441562885246555",
                "151780894459392330881324268859671245664",
                "14030056952885328630269662188195678161",
                "41867135712025355402187293596768450167",
                "42448070432988437388590439740114273728",
                "119730369438857705620044958992220609210",
                "113428602941897886079254828136108543190",
                "210633997398611981316743618392472289629",
                "182278736878701386350598369389277988628",
                "11909916562733451663915626661733050738",
                "318886933640487737497962896769445484190",
                "310185893246243521268677215076538187707",
                "55959244433101235230604882830806844224",
                "318798422501385817513584127656673719847",
                "120118868656326014825240622936342096636",
                "176931786473512173168753393083325035702",
                "327694634655511081159636560583492606436",
                "95158033453524307092222177556412963697",
                "123873859634703752899884990289648929293",
                "233665738758258724519579763320167756452",
                "301209462940317645446975165226365468475",
                "20521031316079743088968108098323045861",
                "248065215195613916780094046642345339138",
                "129993998711034461901760368783488766360",
                "251028272778482239487563822192294576030",
                "183334574865171132342028278079904838239",
                "31089901749856905023067748077311156590",
                "85625883841690672884085635851268132482",
                "308045340318341688381414138195015758834",
                "184736949336470164400911379816676480429",
                "63651781357168533584961081967535121990",
                "63578754818627932226521879953575938492",
                "6415524519984602107368183732937742385",
                "210201443563177963303485620711050769442",
                "170510726889163632432962551833465566066",
                "195843646023472198456663921982966056685",
                "250237657164486735431262511239953327086",
                "103844684884674370181775977471573553882",
                "253879053050402051892215422532507994711",
                "193064099891257914211572363192317486680",
                "319992724866417512974157939744563702716",
                "307097278980456958927466265152674068387",
                "302349527006267241449532645654850823897",
                "1579337110693160110460677089534683627",
                "307865022929225672079786456805597538624",
                "337992331749552999929651716255538924152",
                "181245618813830236170233264595744599068",
                "256311462387584518936866641341320535428",
                "61154786727217708595277275607081435382",
                "307225721783423575972752952912238824305",
                "256969019825764391185613607412723062708",
                "220799204843744266474210504644965863340",
                "44043981467233152318327945337217185473",
                "135746782927759819928377460200705464096",
                "300314987492026804814053910088386411946",
                "149717138927769935292468827343212476552",
                "29611139143243536866278835796483095505",
                "271850065398617787696655286050094808561",
                "152120000730595591007504304524025127789",
                "102497239176183685270204317188730988483",
                "201944420239865635631341697717988755555",
                "68687288970089579723455239475364969901",
                "303089058286335637707911772310937524226",
                "173900069101519687097944811973734626276",
                "110212759556043446229395455480015236261",
                "223659363311441891788473791827464812878",
                "273716307841302003175994816378047276239",
                "86694846065646872604758290493827755228",
                "20457552928467688421099912792761847148",
                "183189836840812536702508516983863083808",
                "5529936949319675132027345859262492265",
                "97097296964927709312610122483726208954",
                "151058044470444267299115997061479299841",
                "204144037842798876788025391480407546784",
                "92747464793537971242964346557443191438",
                "172351989833252482003661421891935619224",
                "164055422729938116811771999993346543402",
                "131674252355612009532506423316341346737",
                "158212866697386293807559789971020890200",
                "291442320634463362051184720580691850843",
                "278397450887107991049883688515163202481",
                "5036407917685772273162474400168487937",
                "36581134203599306198144837879901231608",
                "16256382625883692853648043300462990577",
                "162910038535859527195970515871788179307",
                "77310759091067483041271121043685128466",
                "140705763503251795702439229152605533266",
                "242057176231975347080951428526916720434",
                "99191483624539931892368799785172379544",
                "79418946668849757627596275078290448588",
                "304557234021855492363447631824127694577",
                "111433071124222313191809620448260143289",
                "270066074813003913389429441644587965836",
                "3391742055134580938538122037592226481",
                "141063965867712770125654094281607208388",
                "303216461419391973271269759972235856458",
                "294555794391451446300293025700930015232",
                "84203490828387967216826172776226352208",
                "77301657772163894942840373301496837506",
                "227923782945680437052918718883534999933",
                "53221372048039578192532197109680825700",
                "153956441386027578878699066830509944747",
                "72764876453383475625811100785731146562",
                "99781758193576848420813479383588543327",
                "225320788255083358554268961638941527456",
                "97608040922805109420495239020656367005",
                "141089426273246842227731111759675510074",
                "75485648472397947657769595884888004301",
                "189593292015964750957665453445367253953",
                "10119317485716755554779481153771534223",
                "250136472216636751031949183560313310266",
                "26416420425450344029166094519368377789",
                "62004253234990428903296836727542102757",
                "159981326128405233949796328962894942779",
                "296094063944690224046082414452551703395",
                "285395113859008862300834002379679890073",
                "62578043942486746062620148603873230427",
                "311261039888252921883651242350739941859",
                "170710184228427302269848609151274433408",
                "327275254533908093460466547622716849772",
                "147682733961180414082234660443998456965",
                "37618679586726427514696676200238596592",
                "199093055808000317397216604464016144068",
                "123992964460971248984028626349241748987",
                "156502958083091637211271987530937274916",
                "240875593721645784459500128242920880953",
                "88250299122460943390258645728680585392",
                "52519277262914696257829354615654951592",
                "247663418834653697833329458692864006159",
                "141336326559418380403914664526558678497",
                "177220205348565315907407139741230460655",
                "188283026386779621444889547703573299044",
                "35215413245646530768409386645345474908",
                "82952401121422072884715660970037024973",
                "159694572972155851165216611288879311479",
                "333286041401126261159811250990494474885",
                "294600587964073861070071147594047424524",
                "174769804486691793265478017198840927769",
                "50576000322557139305265019076424259034",
                "308508687057886781269061874918352972156",
                "116835275724915876124017464652823806469",
                "119574510478956430764445968729381310967",
                "28699267278322320393425579452497732920",
                "60833768944412167602355466334352701761",
                "170277405892969993977526947862787735818",
                "12462399954410576485331476165702238513",
                "291764246494835090007072754568474151334",
                "88205235774211954350094544762694366478",
                "17772359792903332934671392537872529823",
                "186196238149307431717024042498750552558",
                "303577160225873264353604330282272771143",
                "320989966440690416958839442583197509078",
                "153966327476334380104112345907301538013",
                "234303166451981327403023559703553088986",
                "42982369631077378036154291100833825999",
                "89731181780057432983371038319450613171",
                "245971910735137061624088688208278574274",
                "256324998369812496955187439825821061143",
                "284828391179807961116962431896271536218",
                "251642763458951743118271510673312119556",
                "311430335797942128579433395042120024391",
                "263701101985578002908396575996191529499",
                "201407133943070266763959542197575583130",
                "180311409320756273284605973367950737839",
                "67016363793507235658624262981412064580",
                "282468519596113597562181067615623013828",
                "2373534267275602170972324537564068270",
                "293958709872056597868694628535520695767",
                "12732766610162613624560565832597328950",
                "291532209998163642075054402137899501883",
                "179553763862968407694288196127315303675",
                "258821049039673954250806772860878113004",
                "143355251016588371903251975760872988267",
                "263841927769015857229312852105909688933",
                "17053798328898054293640967276038471174",
                "68367290433967806404360607683884145930",
                "286914523620368618522982609922432850466",
                "234433158068067912316856697602799137618",
                "55842895421927716203561813182663590299",
                "107740013596117667427051932418639355030",
                "3957871490352119610953653414574324175",
                "145799478766637332891801198457290711315",
                "9337099291231516751242229645772348399",
                "244075093314240407263511419660632743938",
                "81270502727389674515084306962340446437",
                "125475079356034220892830734142689570716",
                "328558260141270317059171580778365424762",
                "192399951046670610086407216735625339192",
                "332877072565870657686720437074062278646",
                "315918336357484417063024698515761095309",
                "121446239902211609821422973367996929444",
                "211760393699435223574535433920686735729",
                "300197408220087951544111034317065291065",
                "271128348777864590669222794369633165050",
                "202986700356883814166917467321851471764",
                "257436865191018926783418138185513055750",
                "332304636858290262722601728224245946440",
                "295363375523649993199916933056043778906",
                "240109632604123002873394576547340795373",
                "306790941242562833902188734463265050497",
                "65302126106878044875751052832647131643",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "243998950251517745831996172421401312310",
                "38607225462040781346638588619529735628",
                "247686422600593753565911999684791859032",
                "256896353475435429688779753453660979409",
                "289080163246159013092028738421967533254",
                "253833075509294653780036067808213499455",
                "223400366422604547370819548900390506133",
                "111445313509729374482048778537283066599",
                "307791183538888333550721928758000252533",
                "237148629133173688468269593838907621634",
                "34113096850803817120108800375353420955",
                "299466920249243646962435728550790463389",
                "313109984632211747484893469479284759471",
                "168668750468312248362594441930305636699",
                "36201985066286712892432893029444625447",
                "44179157995839162045297922903866925240",
                "12571058667272480919793064762969999834",
                "94963098087350084456449738511641107393",
                "88872503102252330458429019926991680915",
                "315288856516691189113348868237593795058",
                "266101533260405738002157038131300478316",
                "122911246479106371879116342526159751585",
                "84708893640053443409251049030492089553",
                "273537683020124175534631095501447934541",
                "27156384546225218401249620647992050888",
                "130798594367209533694268904966707627283",
                "332279382668913905643570161227149117692",
                "125830188932023251710380360852850055573",
                "6854976264129927207882140799091119453",
                "123494082242937389068212216032791201332",
                "247289150735406892453637851105670341401",
                "330168609197578258762102318083057562644",
                "71953634846534556621822538497359123075",
                "208387858190910174708956926051170817924",
                "226468133409259791119119673894069340056",
                "37026751179532621782636005115592480723",
                "183824258879631768821950040117402874890",
                "337965284904311089845715738315647796878",
                "111576443165050070098415365142574709540",
                "290041898638063451281520426610104956450",
                "152005343360283627713886577825923018963",
                "148582829525496168161244584108573686845",
                "278319591702917612394656545455930164739",
                "33643861051058943310335495830807864290",
                "173521775767895724519780205380234487410",
                "163355640164781287266945138500240346985",
                "266179940283096355743637289898463805548",
                "76973966099441487492046773839770810819",
                "36553116201439224241037073737808663520",
                "132043276002569138874806366978752327949",
                "100264661516686573971990965739223012954",
                "91914304578998313288431595361229368722",
                "177442313348228366765284874193783513311",
                "186435907363053500108392670156894289699",
                "7191837946844167541370914565241084085",
                "291537523047632713820069751075440488797",
                "202899029916212336356809797537144580510",
                "143717641263843586076726700902274929311",
                "33235498244722699767702076412433904674",
                "257173982425228099963979425330986173987",
                "104596676550414573726241418001820577454",
                "315109280522465521407909209091918916197",
                "111172438413735420241934011800590355440",
                "107695201986419741130010927930244000858",
                "180406915032144328197679587221471863335",
                "171561404084569143407621771474398820899",
                "45614095645717101923038528458756879261",
                "308498568169350582558145495734311186673",
                "306796408807830785376400045363880254782",
                "218204037544894316172842898847099206248",
                "181641067321308922060309812423583131479",
                "43838106183458956772520631850202224412",
                "133129820566672537876163269752142570833",
                "156796205608729144762241487683882478182",
                "173556209977043868802712138878652436788",
                "238348162197082946584405652635730495821",
                "334923037326656355385381459032671833884",
                "207750578090169761675166539304856685517",
                "110890609951314119473158543316760831272",
                "316655836682104404045123171758990553070",
                "95681219160384876764491571804439973667",
                "94618960152336012760019411999007075659",
                "107660254359841729060531255628523347945",
                "63398420881607152534100516255801919903",
                "49588176246112765199101837225682193585",
                "128522775608014480824074554420882851066",
                "340133500746112695842323537107963682213",
                "254134074600824227592784353588851011049",
                "58484719392584181402178458588964091292",
                "47266734648066302679682936654082909691",
                "254489703667607775964070452877915261088",
                "130193786764522500122189512379032965216",
                "31171491520276207298443503467268056509",
                "9091566631289548441041761592197614301",
                "247070869776026618761267587026623672299",
                "219632204130492718856027508174913589388",
                "257605622307846534036658417779835788634",
                "32460968067268911101705399119198920487",
                "62792127900075440821286783399944522557",
                "38602639496290311449641088336766716847",
                "176474452969908100655823825349863057609",
                "209217833338428301072570895821640804917",
                "304790966398151961428449386149128130852",
                "123529461245847517825742894976162754943",
                "267349555166191428265196724582067771309",
                "176081442576592066493914048543138647896",
                "264202349151469920135680805484133507308",
                "253434694214195143270478204407771506268",
                "221838892328643167066396592212786777902",
                "228314856662085981680196010599688496989",
                "47122659104440997009883536908637636614",
                "78863971982968852162302245835246715184",
                "219770971710050139506796831452023945047",
                "144201751846868483025451735022520491585",
                "214089972040895770912784733577458214835",
                "334862576621501664140220629159123159945",
                "296827432505543167770162774457860134566",
                "37411800943260269275733027567531110965",
                "69493384978903531540854256285502692514",
                "226482587809703736000051626496759611948",
                "156726140214433284468494153365621030685",
                "90277300612888868464139521503192562511",
                "241151321216217985506676810597589157139",
                "240829137365531685673210629855489985360",
                "38858979442909537007238511978193428378",
                "300985951187823010107060165533025888672",
                "210038717943682258683144282734234770708",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "58978145762311659331235973277175819950",
                "88912223937674792885467088177321611815",
                "80181463112454803055768904089890246106",
                "100988348420285351996087113915302842627",
                "34927628219065505450262590108513602357",
                "318429030549031666309901923827877068143",
                "179896163202690576580300896856732326604",
                "203387406722976024634550197878207551872",
                "242111561587642670994251908869858298616",
                "73915735272389304925053955441242355653",
                "285153383794502792028109662656433294552",
                "87168362277578643152320607213410198072",
                "133181553695867277639851939474123075054",
                "286776369139121509067937574610177306380",
                "323423312887751922098495759093861869897",
                "3140292785880181333362376692440524905",
                "127696432349234676506267828213689302464",
                "306848344827655230959359837327090639380",
                "45001668445550236782447756993944061819",
                "244689311820921308512102555776935229285",
                "97289710653889344250861126837335821011",
                "322749836071977164396688172635885844184",
                "179371058696640071881481945669703813337",
                "157727111209209134902155805809253444799",
                "206619187684034941267773754261547296117",
                "269075083196593540659829252649212624399",
                "258751558851130678423157013980939384763",
                "333791941612812922667990812115301841046",
                "9894595905144921185357327445394476264",
                "149618467885836961784596935603259181508",
                "129221847491831334860766186618807153998",
                "318654229009477379498122682278784347281",
                "221653391813328840129571466665520665377",
                "323053026511420380628594252359175734371",
                "225871153779175491208209268355059750456",
                "130177194315467240283542086528423953528",
                "223987484015686693521664176796966016935",
                "306574654092555261401758529868148712621",
                "325703432490887687881244887162420470760",
                "140327381170068181168509331620764230783",
                "84437512145810436304006212233412194843",
                "2645769953425003241971425337287015707",
                "33116365347839086347994247157380008530",
                "26371781842805726223549632435944392580",
                "338720368105650090581718772721620024940",
                "73574160545096319375977369601235930554",
                "152677617731530946150144083051690492908",
                "196644316023121642558318611829230284225",
                "15496761125137459521666848584924024089",
                "34757007990221968637748672721069068784",
                "166479442445655778095119630924570585696",
                "11629626195963700489871339421494582740",
                "213786158971386851122511897959295648303",
                "292263008676338018707609425038526110846",
                "206513746681710234376317090021917771013",
                "168424496151514586717909029031307889044",
                "283171728146514686409670100788149321096",
                "4881691052568478938638407536719376500",
                "269916440867422399749745048344883787080",
                "174996178368381992495083113562280097139",
                "28056494731516548854009843131610545426",
                "258730665082372315313507180611918901781",
                "272305458391264590280360673992403676048",
                "87852479606401298362295716273137593413",
                "116501925926771920789639635953921551093",
                "147170355109724076305991306687341333533",
                "205738389822452711521380451386297712701",
                "241977829587129388805575171143809602804",
                "57785725893328011058343295216796153499",
                "262225095918822626986688682514113060210",
                "143584785089022347065356575700388748395",
                "78242877019210094870255652447803092666",
                "254626513218084495488642348696033489174",
                "118123961611499118035365141927242425792",
                "46576652351875460747977940683767043231",
                "157048546557727620309237608967306390831",
                "319210812814528787513836328873902358517",
                "74995671601243654530926966386322311290",
                "251842311681949755046507428840896430807",
                "127037548825838485475350078724801946005",
                "162749290732588014837096580062653884076",
                "189077541605816190814603283648517639975",
                "5655240229280655751317296499377012930",
                "296073540964735828801543245892422934877",
                "151361722242488259611600344458129586032",
                "7263199624640242837844091337281429282",
                "11673361567697307501262674778597634920",
                "47471744370437625116231907427165322820",
                "311522638750312656886437723632439695212",
                "327884912715468786810315739995173303378",
                "63077591466974707834294356880190572318",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "271862284454631579284441686665972308592",
                "228342480434426486967255277975055311234",
                "162775417267863366386530619671448374151",
                "197454588044364528887198074157355286424",
                "300888564619777252685247256021204344470",
                "139783897210476265589886403082906447201",
                "278517410625757274085168351978937596096",
                "193856887067211672298580484719186314672",
                "157212228332897989896591758234207489674",
                "180806455420856841243949996140798000557",
                "143821759638747417938361272025553004597",
                "104381768663616557359845040070212454852",
                "138727190368453520697269135801509699243",
                "248839993758328007339720273407182727888",
                "42356864103614074272516382281312856493",
                "151690524697036250433702557026054088855",
                "22805180938558308366545439241621825301",
                "253139481865154809377713606167100939091",
                "106596777635038869771477516832403495493",
                "141521241861471455841184219429096877597",
                "289136964671961908484542407706968899919",
                "32476974404791409467586550686461351850",
                "205543297523553377872954728310618863699",
                "158901763162091730852024290906571153160",
                "184572863787977780917805026005841911279",
                "149714057640004642936767777548379827697",
                "255214140044654592390338315057312350667",
                "143097868728216911587778688444060298173",
                "255755426246812442123516242039469688344",
                "121206952215108761615503849894947261608",
                "333025106354161366734006247165909715008",
                "80886570629680220301164627688230251715",
                "154351317959981720621515636881743795417",
                "293665012859345921925737178249417719130",
                "199958382579569056638418242798352102993",
                "172399991033581324035974928447051860981",
                "265197566902764296912735264948212516819",
                "33737690150821259084508796642910645022",
                "190466392899290491686665179306984339837",
                "56108348356345533124561854745934097420",
                "165888133273112250082552077050307833368",
                "58906096921950179233776018297840664256",
                "229893299410112772058132977807119557202",
                "112902337148464682927979700494535508809",
                "23586123806115760822887068371635049875",
                "127741831593329944215077579110813363814",
                "268749205706085131601453172055545060671",
                "223872070427795240580921703208120754037",
                "196481095459984282562208181682080205962",
                "59870740486309886412297574586386654465",
                "226612722875125373942312682308337301148",
                "251168629294820935693270601929183748077",
                "160969608595976230772646186009001464715",
                "2402461562586327650578267809386765642",
                "139589390970531395779402593945637313867",
                "115863251339187385983093054430160876670",
                "316022421738771700241506752958754112564",
                "230395174386386596602877266808981865873",
                "14653320912192444614294159399165993855",
                "90422560945672011232293007241506102357",
                "230161516644771794991136124054753059801",
                "185412016918519496382246277001336058162",
                "203955909621509566024827224442020746670",
                "235101182394312513565372209325576003973",
                "145628684700284709355907948772663526692",
                "44051400666741881540697345892703241829",
                "117547904557138608209587763621878563087",
                "306035432215427381399142732714864621669",
                "62721280023124269159191304302401697231",
                "152287339231705885125897692821531521973",
                "73831508425112382393342895597889797826",
                "81755789419745072585378878771747509637",
                "292493350590165745923477121329900986175",
                "44651630128548846819178746692851254099",
                "285526635572969411192296561100141687818",
                "318844078951236248346893583750594487885",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "287325609824066696049256216695139402923",
                "145996383506569198579363902537368481162",
                "295694459584697187269540272348104203708",
                "10482916495505423829886593546101026016",
                "153185938951263535159202206366019933630",
                "70299881791137755342114841917227651386",
                "245346904405699211314611356571919261810",
                "134070880615276760566047737737463316574",
                "112579111353599201072892514170472560496",
                "63398270346994813765335984992252063900",
                "61583886207654569359415331815888360107",
                "272382366073986707507414549141770834957",
                "250048541614372047063248852275357043493",
                "252701242569965490665499789474253838084",
                "109007756249352576492548916122426478940",
                "144487158998655340340359458972411717909",
                "226916808547326516696753869663849947710",
                "61781172833508789175452381761290101265",
                "127986857940507683075521936365597863255",
                "76838178794151715592970574511569934231",
                "16616840986059574633188223920882341520",
                "333003516780190367409729304092855017097",
                "326043318197344705386428592525538978354",
                "158390258116810327053179728489813098346",
                "130092453832940386927348147818783894915",
                "200028203223816024702980336260080611818",
                "146448602255258486783466075152595374671",
                "106651655530069480893011533125592916586",
                "114027945295810605507564036162797053607",
                "251786722310784800618126064506388905415",
                "292516614056748073749681371075032491016",
                "288049893550172734549322797808166265390",
                "218608200214218318885751518490404556202",
                "339826689415336990591054723009773018921",
                "202151171595032240672245520313069022509",
                "38409648506527180536841966817490447313",
                "145481965322026851651855938170771884436",
                "198708225950982143490318529527158043391",
                "56225569221988170698668309720031072551",
                "207221930513166914482115796331142078848",
                "129996764441819882055898029101556665800",
                "38668869622459253292892141580542638310",
                "15112934151861960924089238039768170468",
                "202714073501731106006671852411518272944",
                "285969519853444201597233871568115374175",
                "334350067706085053044454020794088949942",
                "115375101466556176687611569816586441020",
                "293422444281920767915379366593675981647",
                "158925891591727930369119294288433120784",
                "88474152669549866033533268788255001242",
                "127765242308764591677216050520818246082",
                "144911173956908189748597354577357527265",
                "273487156368219683979349364631541448122",
                "187112223281367144013429142715009862815",
                "274651362795380300935885993457526553951",
                "200716487083320336984662655023150615743",
                "123595153024890854710735570406212064347",
                "55020079676990294376794661041303317200",
                "165670522652251088374266929722821167776",
                "315372538019962609391771913364726082237",
                "72069103944176691386809195337148899034",
                "249767870918791555813728353102756133979",
                "255562424736886083795388252203535845174",
                "46500785726364135426905237575870224340",
                "271609743431406784359029450438707903510",
                "296979244697231751495335080111110332031",
                "293303702852336552236038279998983948625",
                "329921139072133565223322770757491488781",
                "276213742121311871237758248650518575752",
                "192189648314291712343936763790610132519",
                "263480445121094006313848388863088010231",
                "185430104599630950951288152879135084928",
                "126941855207634495570985980629678421603",
                "283619447113591781367358314638016647806",
                "325476536304839477843044761216694255958",
                "217152687419229518069729763378164469928",
                "202845608872426261108374313628575338927",
                "293645622945117101775849407697869143129",
                "296594484922232554032013611006568069389",
                "92441459149931498971823623259040447751",
                "242866701157292720699023250146654309132",
                "330167058166963706815053825491174202608",
                "280608659990943880033510236120471498454",
                "66701089390979389956403814158206601371",
                "299147151497897891862217509838214193721",
                "308455617081217342396298117028125863590",
                "288351287753226228696518574122219215062",
                "84485523273849112415310396803646154391",
                "22108360251142771344844524066595642231",
                "178905914439228103783310436930791083303",
                "305467965063444224781973077989940740723",
                "90278357489526207239377740624366800519",
                "292179593641918460133859916248712903228",
                "175612843645155042984953694998240010977",
                "102267315412653967765927539664642252860",
                "338335345956911052429850553297735186517",
                "121635285820020742781847958644533697158",
                "257562774824387701365520158740004138768",
                "287412472969368194685060110085363545035",
                "185018634596198973907031826542775312019",
                "7867998576346174256635893578587860732",
                "205119746455611449271530411985048275079",
                "102464671902054424451941106958738181043",
                "19467385069749445768698813005990841488",
                "142915475226366150211017760388580349425",
                "98212401555734533508297786837554350444",
                "46563882754302498623993400830511071091",
                "299688022183883287609787510423609727416",
                "299657314926121721284162479073875076737",
                "35672628327536102065666798867238305252",
                "329736282379974518215453189573865070641",
                "286248596446067809401280821155343592468",
                "106973112992832805024606035942225336686",
                "175887429806985707841793818782212115408",
                "30581097978421148145230988627320857604",
                "129990995691648750239864515560107030954",
                "221835525775475213256268208209867422040",
                "308353650005106005752364164041846700786",
                "327157070713291278213560825026931778159",
                "295481282039554927052433969797853239209",
                "250724455940226376295797270911388545716",
                "48755286430097888242907154883090025155",
                "329362738387921613433631279278840276803",
                "79009871192037772573975629062182343773",
                "34981212611262606877459167918296264553",
                "137747932650047820126587348622878092549",
                "284071254292152258169729600772965222675",
                "71270522877946110697831832747048787345",
                "94000812177568474605851026496455702981",
                "951779828167996382671578679914577441",
                "265128899229359954999529420756661577096",
                "160296490853970858338245797736392300758",
                "285538204788161431340644947600654349539",
                "124225736046991368723940254440647835047",
                "266229700753626138852844308261913474630",
                "198803249595671530000153683980478381802",
                "290341358077343223622262806238598248694",
                "149335213170584311375174904715475969075",
                "147874146474925926738648169081752831339",
                "250903435983447366466934041176978082165",
                "111868153812438150421260360185040123941",
                "144861234856707010997579072663233083035",
                "188374336993099294075744626487439095152",
                "309173140128651878557053917416314154783",
                "250320463651830966227035793403168092268",
                "224848854519325823575981588157136860336",
                "29408805391278538498919438030326057784",
                "38795577709682598397840782816278673260",
                "51088034960423813910127274377612479041",
                "158596488851491134526818950688815550433",
                "81258745928582168966485573145586369462",
                "191898184784512009135389596140239842551",
                "59589001078051014602163806554529584604",
                "187408790131683105776088450486913662176",
                "89494190715337789507661522621433226246",
                "12982131172925351218873297397368529306",
                "147489052334737355362542720927271534918",
                "32371912702300712014901334121867541873",
                "139865909433594925442115587356853391106",
                "309953503130696023386851966318660664689",
                "219756197380335285053321477913486242797",
                "49147484821041273236369644029464752018",
                "244195096178436123896122842380491156973",
                "53470508964162552348258401305828833031",
                "83563659480381708581075596447080776119",
                "43230565036066315363008812933177043407",
                "14686438690204076144991050664833908156",
                "115480220709344479914463025980548103838",
                "661048315700967824706508682604378843",
                "141268496042506405552780916410420248473",
                "333644431234417503473936649234282564189",
                "119572363670059463894379161279858032094",
                "189738123780573215167322196440993390662",
                "180378078292119980460080519651529963447",
                "283353535538161378759519509101289598736",
                "152486905083902851738525826598538633528",
                "68436398430331374689259453078358365763",
                "56739118916432155089498112812130549017",
                "138438430799737460181519941193641019457",
                "97228953856728147860299076998797778658",
                "205419715696524709916195691133449449951",
                "7776671296976948154106405912221003971",
                "52125062556605881575262138473560718830",
                "260418639942307765386360085860160059101",
                "183566764704508258936817701182751923670",
                "240597682894941848070298382602825617023",
                "259625663720011382873970732785388364688",
                "140120765510969427906969563654749360730",
                "110774059294980817462833462397754175849",
                "206389691132504195257835123392811154818",
                "60642393741399074639799603468849945815",
                "209491168227957001645134207998539609283",
                "98161347896046155960106418890506918823",
                "102674877861429302692522948781076832919",
                "128712546191085373876133077748213604582",
                "45693403235839283438391372794766513643",
                "60924766018829952690769721756324759510",
                "153216650494367851225428266868759417772",
                "16824488980601412555430505086522658249",
                "240075750501379866470338976294614686532",
                "150971307302193521597923711059993607339",
                "170258027528473086591633669781004825609",
                "314380408525733360105210244176353346304",
                "227825156233685642918333586669569305976",
                "207510292449794741374977915333248877970",
                "254629795884411148116964180222006931706",
                "145267164991720421353173313992603273223",
                "132650487722628518995291508657550624409",
                "174862033415982135206296451878460451598",
                "335963532910028727771584653235879743827",
                "334962397397835374064299818944860745187",
                "283308710903269916742924050215330174264",
                "68422744231942541494368272869183370230",
                "209824274312489122539474258665580730574",
                "174164760688178213262353991931915905336",
                "281142727521234964304191183562287126843",
                "141802120721692215649102107298758874689",
                "324175832397914309674321257035593350002",
                "228981805553004070964177246643356137753",
                "244126547247255887532099301382125222899",
                "98904167600506615895587970110367774629",
                "250422886830901113959538482618558874142",
                "276310481920812923347880535392827174179",
                "21123317896706708281272921023702984308",
                "11966055764892523180396511872337216837",
                "277706414879848233241383310451593559607",
                "139130829508051938367735047435304524339",
                "323314820554110866350809047533620809414",
                "326691613906638631871374437469699028525",
                "23865327463121875147292899270657046871",
                "206804313452300405872319133632997613352",
                "106166435414123711681451315348171698744",
                "61641115623324543295924837982348183626",
                "240316823786535922567753561190815381389",
                "125228239774447177478786920460855774087",
                "113533850401681998232706915780623572641",
                "159711510437410314268416561324109974646",
                "169406797744764375357001677533955533388",
                "87379996444134624493637106828836603680",
                "284541807301058994855981634042233516480",
                "339009687908237810981203628684037854950",
                "30507710240914875873499911549909448678",
                "127081478431879204237619873216332978373",
                "251225451945393170677299303507460694165",
                "17757152469331255215283793160844820721",
                "332537383905427864983491072990374163288",
                "215751175776331641388624468322099553017",
                "296224358779327984311488621437386272480",
                "172640119131330112646174987486659847419",
                "198407762200624806163450626961621511105",
                "284628715167223786943226628966010041645",
                "256012141685409592576556566571033094228",
                "225516480600733553037309801416150618050",
                "227153972518316657563869006194666346036",
                "179986475625408205843025382230727218424",
                "292922115358375784800292589735949360833",
                "268682738481187977169747879775557587885",
                "154139544261535155206632456541213523199",
                "181246910653900413221755789891004217477",
                "227332293876379711914938924739016851870",
                "218866615619287954459817454602315990447",
                "230419111021568041378274418816489546189",
                "844142643978080386500751326241024737",
                "259862603587901686182195747590699495554",
                "184945305379810336581841304675653714309",
                "159449113677725346840370887660359776156",
                "305142228001246770471267628804830969965",
                "271053609477952454210757141923882436677",
                "86695636484743398362294006471266279791",
                "237676972752370707317785850101263958461",
                "20687110906142420185626599977869498748",
                "27282712346853033667802936323909494442",
                "17327942634952350609698266065125135254",
                "222476643103764947025660839089551482422",
                "161573043269015088939232894483258124084",
                "34869825851123903102972997943001112523",
                "295614365387810302839571944936315020373",
                "282259435738184354040513480928999552205",
                "245369823724698478598680466397549851059",
                "252691168538754292723597585047481995974",
                "145440971467926956583799121538686152985",
                "321654706156769296229897811363163160553",
                "312290195941007483079571616350089666757",
                "211356342826447577556835571296170029893",
                "34696634654665318427033872452351387581",
                "193000581618450175579914990869295112372",
                "52532560334819702321138355118240525979",
                "168151368544476187986492100824102418302",
                "172565135447351450176290170824588667914",
                "339522142462553877638505741382849661102",
                "313310563299834912932285695046671538233",
                "276312553937803105603357039394667807452",
                "5953593367054453610001988344292556149",
                "270579553892083010682384850840332581492",
                "253385554639780965013627628808774080235",
                "39276937987264378221559397827498751949",
                "257182028475823741096147484001825828243",
                "153363756148280574248867724600044116158",
                "267432766701635794679153431684444093647",
                "180380092074985339309933645357382476325",
                "42059085296484599803412464625517528803",
                "167788685690898354311507034916343330758",
                "95818932846683810933521372288178085612",
                "68001436783434481781770450950235933431",
                "148403354890619010686820633769207871535",
                "315285744956010838806815429435883885069",
                "158626180856296971987386216553996646106",
                "108099518236280782931371176549964267342",
                "227839471139134309873490987825989624425",
                "203161038955362740221598803792110244467",
                "101718270044031392691246665478215181581",
                "171040468145404075821861208168556995972",
                "8373680028298147858560332656354290693",
                "271655133750589221580102614793728494370",
                "207734882757369216432150748785233769258",
                "312289528660211430087489392243841170965",
                "286390783375480961858276125066179614908",
                "285177676725777947062597161797802324693",
                "223487651423419558719547074492108962934",
                "252799169466573600459841410499627706679",
                "47490409308211068294844092301896589993",
                "281582438585846396525609022793712647589",
                "57399217253243302474893056946974901036",
                "191881474396941071169503942799001868975",
                "275219833850395637309560535340233078588",
                "194892257047944482195587443189039822098",
                "43859642134819262560312033560001540902",
                "283874416321699405699778676471871610062",
                "239480939012346031218685027060166627334",
                "177142506301131833412168419244832865900",
                "51225519865357444159586110394147835064",
                "116997944989558535655081026654887729729",
                "198277749274485016668294799325455596361",
                "194232601707567167614368408939302271709",
                "13341741780452229742866460066151287514",
                "330604880743644377071751063944926179818",
                "21519366004601225112739586678044566006",
                "111704583588897907355217283961757029779",
                "168740785287417614084440644362299580176",
                "61130586153544947359226623893524310413",
                "107688818730785133483959341217396729452",
                "291209244362115104004930845129549907534",
                "203152942382046966500850673027597715874",
                "246071821610393065860618979461472978163",
                "191286995470432595105751453716465186501",
                "110371225048664711379046217213988509878",
                "225593955450410164756720866211383024069",
                "171463870462149101290984195228669201588",
                "298684025017613452504196508347471812482",
                "100047052131972708097570008269061465272",
                "129879880547570742899808707465863314731",
                "62932985248715725710459732450748523631",
                "22980599195853990514828945212381068736",
                "103250005384602217720873577084500438903",
                "290680802791184205474938865302635849069",
                "158605517402301798316955259366057156103",
                "95421230822245702789821901710152865092",
                "174523817473055210816182072039328276805",
                "10682463632957132333538499162234604367",
                "304588378743965070789497691471171315562",
                "15493900915298837759555866439166635274",
                "58272233693437336695970057339357930532",
                "152706250115491888290251105656471919503",
                "280947017636394726804124621710191217281",
                "97376524002088425697761239543827672433",
                "241146189220949140289506415482341529562",
                "133643660787375324895576337517296908226",
                "64430508680059329792595467432353476668",
                "258930619379006236614047023493275373577",
                "143212810450070362335964334362651657049",
                "97771615316294449131539540984731762739",
                "173723807501560871366516851404696421516",
                "292765354586971633737694008734528451666",
                "197126497416061693088128323553023200814",
                "242938235663309259299372325435180655034",
                "96376475253207384444650515999273576219",
                "241367927951570200650057332324673010758",
                "334270499675067025253893784510978373435",
                "67802918309318306898634876736989635633",
                "925218272499860282633392120027374594",
                "266213357538250575583553069825180447500",
                "258390118572430630488866114562572224391",
                "159605914517649535099842085309927774981",
                "37536747277850259416781184899240475632",
                "215936216881534351631306525811322162483",
                "206605453358116389158237286267615491602",
                "183588589185980411552394988805210313058",
                "219883655283847969421031924152282829014",
                "239635137463285917301020958319032564475",
                "320698451290520435514126282524835978224",
                "339654948933828587305875145522728682962",
                "131979037427874733736431850177677149501",
                "175667833728633500992099475285603587438",
                "95492540593274763898941745026016736135",
                "264467143980004913975304237057678733071",
                "220285353810639426544587066507205708289",
                "10745004799448494472420103610986603493",
                "123414478060342263770546785350933320521",
                "307519135940174437258058172618617893447",
                "233753528015316823816187024899136939620",
                "31330523584535511206675464249546506040",
                "257263784930686349334992680717692456647",
                "61431755217156204526880885190153855015",
                "158329829315602203994163960925812475619",
                "255145839262829083853046254419657930069",
                "177304981584054013593597683489807876109",
                "160930357147602163408519092170864211993",
                "158988369768360433636697011185014470704",
                "204417368335968085400693948581802949252",
                "334687682785438463391687188029281061186",
                "125108387169217174927527621305016145534",
                "339803320522201279838454666096396120631",
                "262501174031034026506595618084145863302",
                "329868205978798423605680674479211573766",
                "160205938332861832585234107694939562128",
                "313427433314174527363628535908762249732",
                "81043627263082251610122329509136504146",
                "253187933429092637611700618853560684016",
                "316578411400964366912854278570174868528",
                "109742446389723515633574713035520259009",
                "280949196447263249557991520586097041685",
                "117479303973200437209549516428079494413",
                "149046536816446955681478643911875563298",
                "40041340608119958743405786520292548649",
                "308552083350694079490551339259885725627",
                "326821006091416029507585346239274545240",
                "200631706866649703978954826673572888754",
                "270203785451192898486642010288119766027",
                "168008798123435389153234062884744745504",
                "19168292899902102136360806355592149024",
                "262788597295482683414246034799308142904",
                "188368610394170642581587116914257091015",
                "103486410779769047010351920099789102376",
                "37515882669840694544949245458242189489",
                "237539467414429663737674255620340164439",
                "139098207341388052762577748766415221002",
                "175545872353218324549143386579959663025",
                "269478408091136153280693846094952471578",
                "239145845275765265960518116212778842231",
                "335655938240030304236546864488859378680",
                "53739538152950281305166256504943275355",
                "208317132041628235618339480452241595896",
                "255675858984075845416875746245277367615",
                "186574892451234905382182759838826097862",
                "237363702229957804201885169164699292116",
                "210935248829608752627919490406502740345",
                "164354313719169292807163451144150706978",
                "37328426106911828738467389285191360058",
                "94277659974192164687115846222232763951",
                "240013292070759286364906284697389946970",
                "302818325337316326549888375880055506816",
                "320776652179953411431169839658664171195",
                "100040946216224184850097702873382035326",
                "3564820852158887888545392574984947757",
                "239077723638000050603450576188172346360",
                "235784360342822355074859808450249581798",
                "262238610774439634928156519388473759581",
                "239936915817792489315260679549470589203",
                "289127903319098613411768213626747880486",
                "268742575219805438426235708679299233646",
                "35219289168093343163441162040498508250",
                "320849353308772550459450640629161182280",
                "149014647980894358182284710221172836847",
                "122847227246584449471571646789670428184",
                "103844820438670252025196682122782227218",
                "15947324878980459163863580447932340152",
                "259132450499880714549043153245432947488",
                "103274115210388403286401802303458033187",
                "270164341815464655635197795713471016746",
                "255439920133524581919993735178329472259",
                "109194033605357044564446721327008841589",
                "35965360910477551503537574904988795558",
                "178468523096748998124855526957153534257",
                "133610763982956867131416411050687324314",
                "73457520052043237362746100397955599846",
                "41987629980035678434589845291571712871",
                "76946233362948750515476525961937389990",
                "158565273199240686368866688756115505324",
                "17004210879926261154993658646295176277",
                "224175560956406975671833090866146931093",
                "304587689010892587266916395855592218896",
                "325965626715692354507360355831769248303",
                "298889562390607946695913431998846293405",
                "60809194349946730158188033339822710721",
                "171856459332963432548020569549125148109",
                "157829257348512322588251468656656365053",
                "335716761907910204143618797675879785722",
                "252085319315152379538367503686292775553",
                "300452890542879365864954263756770627140",
                "153035370212284961466167433141202301039",
                "154475977643764567362610927818176500864",
                "33712869655675298486952004801256870740",
                "150886501310562778701079409884751871295",
                "2357979129089123668308243391181196990",
                "72056388027133140497031406762616534213",
                "315287177838220506765947931420415015278",
                "256548938448372987672848002056214643979",
                "324086639213821465256875883744230309968",
                "145837597588448270643477170234979019776",
                "265968240967070996344388650556270577057",
                "210745553481162080859000767164645808493",
                "285473877998302763626574382069553885421",
                "192192667890581910274121954854923219765",
                "325617073841198476237909401760398786761",
                "185228374916762310973509055702309792569",
                "308402961818227733298711023432797160732",
                "150528061993065737310632187844631224728",
                "109575503916698428746000277446408154989",
                "196656916613618226352740927209654355610",
                "269275401811367267906145390669273621440",
                "125047434329348636843925963735229132268",
                "180729818984998464366675575570295586773",
                "131896039500112739031232882874935978616",
                "92494702416396739451390762087533032709",
                "66142994713444423236506228040980175264",
                "81003393918421667001709503728096735818",
                "18634717369228472306284047325046423998",
                "227122539997696885237963333248935057142",
                "329495251183687760595439184531707744084",
                "50174145627903297492291330543316888378",
                "311930963393406908044719096195712187138",
                "179864537476361830474684821666043549704",
                "328299412111379412791957236428813488780",
                "319175434976396624409791776432888499576",
                "311205212573153872003087394676303831689",
                "254073420386520602862554097747846348261",
                "119584655918741356012994448835607939704",
                "3425470556722813352516440374301509444",
                "85533898144267186583702699148314986355",
                "84995151392897911892618140252034022727",
                "267098741733434047522298921976894237254",
                "60589321897794925047704136354626121554",
                "325387862415400757403424094633090023819",
                "24076681365928988980701981784227900463",
                "43164005548061827480243856986116471036",
                "232635301655285797458026280447602795610",
                "56116205884176040043195291060472761490",
                "61700999352103223277773315201063549756",
                "127727782919348618167546482891387368336",
                "329402509274056874953647849402600327382",
                "122122999945031298772563826298687897227",
                "37426010532859289181364607563835146822",
                "124420268847938096922994879489573476837",
                "130972315794071902944507063136020858177",
                "75668613258807303682238657490225259868",
                "217866367749166902895239192030594666587",
                "315399337117848594969762481693579321006",
                "337980662133333600799350128826388900643",
                "300002573554287700189051065762517370387",
                "219568578002117118214180090939556733420",
                "330894004277748375288698798218037120112",
                "166794169120806459410532409150938647217",
                "85742591513983902971714927180435961928",
                "175821506046819676648447041221483830000",
                "199993886111807431519031916798024484901",
                "109084199231600615575544566944980615315",
                "112199256638845562519699287869225988020",
                "282290868813485961468228306476209392109",
                "249914294744370235681069861785006458694",
                "150336143508698276799046795683973809849",
                "268009918772811883340041932589270012585",
                "60987024122344672765086512440212748706",
                "334669989194213907900271458911074479955",
                "110931275145024402159043743203056336670",
                "93373824157395332240033387413008436567",
                "138356832905234092830571356497474307241",
                "327967643566717876042310551175393812323",
                "47378884360730756597220429657885576649",
                "62490609090024718347468437053732374216",
                "106129086784269516213788279535477937050",
                "184139987172830166632507714970986174182",
                "274419108331643489888863073511464492948",
                "85529935099850208167858518854617259241",
                "2790296419879032499260299118283041585",
                "260295776379129890340716386669583336469",
                "69726371154666817169510690683037313439",
                "14911416711753290650930587536412097885",
                "172966177180893968454020592495826486163",
                "69812764835761550176567446499726372749",
                "180560322163786893462767418300308672383",
                "12424400800063186928940839436247606455",
                "167657943960109049319390478545697081470",
                "188633726755323566904210969568070757389",
                "66068612719876511314750750678685084905",
                "102000342505047119521554034253118858847",
                "16973605020501315098748552063144323251",
                "39061436111238763855274177048156899698",
                "46843216536573120845117350177368605157",
                "148705331852974181462780138628029449470",
                "7355545520602407235213186140191897047",
                "132859768048649333472776211546205726279",
                "166741119045557628393396673390389289064",
                "207933874974611650170777800418735152691",
                "183057909928842905941220477786210487336",
                "145696828050593740216948061694029158510",
                "215746553634376712561130724367563368948",
                "87974608824363138159591245386611831086",
                "289746425769351697522454768471013007810",
                "320886862080441544004645552355861965666",
                "325697678315150644288637209548632588222",
                "294281831904509837956226425227173801589",
                "140074950301777814341002522447839890487",
                "299002618097720379536700431223184398225",
                "216444933042269168590147805491055116125",
                "16307955326510421281757329685720447828",
                "176632371906284632980908926810100427823",
                "178576444542584183853345436559258581563",
                "213463140956508104357400909333252868629",
                "121419054553590640968012483443611446570",
                "254995568126411121803445665866661748212",
                "81228981641826634298261041960707081879",
                "100665958545706165465058447960023070380",
                "79520723235713076875646117975669909253",
                "142309354868921682024916973193718125263",
                "73043271132261674477550761961279143902",
                "223107275006870186484180147630315110729",
                "99990114469373545356343786689599391720",
                "322487920458262662949541101540000029758",
                "28858748628655795655696722868877698946",
                "16801052626012671547824686485635516261",
                "237566225720458287691805225426978343575",
                "137796727980406555157571370408728655013",
                "24448803832688772482258943241310654654",
                "62855262601595382586975550381858942860",
                "92094564375800843470395388607492152502",
                "111222500322674859343280514348452275843",
                "226091000138869680794049787204725617281",
                "340069005167636266377435029258733463603",
                "259128077143401351518080182201272665507",
                "253497133742186772020930625916780096890",
                "54107480480803876500897552680845304910",
                "159564456544692621660829330479969375803",
                "215338809887858955857418450814621582669",
                "104226040431383089799930788763979480713",
                "120225388115036499283094185001146447857",
                "283380438085221543490471417904182387810",
                "263644589695847813748625973242625174630",
                "247411030942994886538766062938417640356",
                "148114890078685065096282890933733153634",
                "73097401184183086877481934892622290274",
                "95940790885853410579628330409586926959",
                "172668814042527668863967125104453273620",
                "317276899434155144912259924860281205202",
                "190598012698741875260661033366894317456",
                "308309162314103985743076191331521509905",
                "193800362611639010407616791536063271421",
                "333886372233694224728469621257746780397",
                "135122789506602717656904165515600373827",
                "70407992788449359287515156296437546418",
                "264895817540317262290440738063935171639",
                "337947644962559900989581417594469016359",
                "17485196183763147187122493812189579430",
                "117678032217955512012980364003747792641",
                "300019946135792624013814060744894178263",
                "279011650238528239088860736820070200777",
                "233847135687897787478850166683320137538",
                "275682292788123127667641303664516363156",
                "177731211350544800299386438325100159682",
                "186183241878748505387867946259309580785",
                "218452475507927793744671051983018273325",
                "148578947114870216271188236515516174116",
                "276300498830255181923438394400695512815",
                "25134353591881806469571154735349403613",
                "28840451510619904516457822602111698209",
                "83929877596243959318039231263637315032",
                "93498336570301397084436695024836195865",
                "225326822494323974622079757430763549259",
                "133884125974136859872891680126734018029",
                "201317244355162135884811816484530248305",
                "196746944087214482878415950089854389811",
                "133592345158194245286779558725706954133",
                "3045615223440415126274974197985205098",
                "305868093137735906219971601626489125267",
                "295605780911292039953125419598956881341",
                "301763262317933701714602261853435050482",
                "181149111013495795065520868365387989802",
                "99217343954540874819450706688511571175",
                "23242204310446975465130679099014960169",
                "209935395309861371951620341898480074428",
                "335746768388061020244528775273607734463",
                "195121788468459139506619233235814445854",
                "156836261477820836085785839783289750115",
                "42824072389427776578787672632761008382",
                "234882738699056641892947287097029417832",
                "23788221654150777929461823747329735034",
                "270071939909023749430011669961760565707",
                "15188459157695245687221334007754091368",
                "137416776113572548520447879868394259452",
                "222624725530139265373000681324588860848",
                "25396445895031374701054078711418535616",
                "195304245116636857858055627852892046786",
                "332437048990686981242736356189462983935",
                "260974861103665129670895171106883538507",
                "321692419948050712142726581084379100623",
                "259913757721678954449953986461116198750",
                "24305629693600191182049003561703436244",
                "15953618743740435754662444420132049458",
                "278949737140847815023192462242799847696",
                "120990419234177753612704418771646931618",
                "212777723519114738688267236031607769559",
                "183094632820417356972901033469453707643",
                "39976434217672057364740958259262774341",
                "141997202920628736066760147158456739585",
                "326262792544838488394537033958834934712",
                "179658846097849808171922272917059765271",
                "2738898515316693826088767173480979194",
                "98608001009340779542964986993005815806",
                "251554188483277505295326172179405705279",
                "275595266017108655524407648252851162311",
                "163149960264809643835500395467044192122",
                "207320134610818051007156837608449562711",
                "126575292077027161448304450438863692175",
                "131457845853191557953628913021639806471",
                "63157707064780542098905319308549454258",
                "48667873213405636268824870168005573433",
                "272392866025743169082870628388548948247",
                "123903097472255934862915634701836391494",
                "125871541690311908563313530291618890078",
                "266880526838522127151971659764327682198",
                "303968417203808616415016144350388904543",
                "33861642920750965673704033308032402339",
                "254920066900396111581040108332656239412",
                "44865007097899626827389103977401417885",
                "78342335199837494478124073117121486705",
                "258239971312604400489788279293301577495",
                "264547911616852854478183546971828369550",
                "99947365034791814645257662331154067685",
                "55726009948866025685727129398401603001",
                "266540846131886915727208154230497559239",
                "89859966029523442684041972493011788774",
                "168804692680539303259070754579817879288",
                "198684198070848241520082098112953749517",
                "49316939117788897439923183825223667986",
                "238301307695312010303231856167053700565",
                "175782015404981340703195935129805214114",
                "86537694499426419427410062955192200382",
                "123716916370160545211052420764472951791",
                "220212493367523242463993773985573200048",
                "292276538527250815843772929814018335837",
                "171055817102313722905171839602131173397",
                "191036839510683271734790373293730649565",
                "21301001452416626520214688396510699046",
                "185577414735405299195249530169777253997",
                "94240237839739812837107379744402238272",
                "114424261414160688021531545582549415418",
                "222173337012448928597874665182465577178",
                "65887650294327316327879614210312395510",
                "290206932262103991958792233773085711837",
                "132990255947463307276370171067157987349",
                "11048851855162706858022510817841170117",
                "111808969384806944024012858742208135460",
                "233826853745121343504523864239253134173",
                "94747048864937921142659624641693028722",
                "269740980328703304334831964015174212698",
                "172963016524662086549123677856402481855",
                "275781709735150538611428327870881053344",
                "162525566741911658971058736450976385289",
                "233806696515983092997523008887192798920",
                "125169771931029688243388851011938865894",
                "310703569477645977525338757287096831587",
                "118452667530821728876489887762293086922",
                "85106599747905564079466853970033310988",
                "113049626833245957796413074762473806631",
                "115596215040775674587215515567615664247",
                "249833017530310162321899842547680146642",
                "317853045421943428647049130826944200131",
                "96001617349894792624568949458449282982",
                "187555245450182384713688279636510484703",
                "147666802940532211811432184055000986021",
                "26648773803681012378982566455893531341",
                "301246807974960353408488701554423807326",
                "79483384280695746707318615290881898529",
                "62013503378286552753370618009349822591",
                "331748087687408884440418200684415473428",
                "99749101254479855897741599299770607334",
                "76876637228882082010098026267362288570",
                "112358445468449244697764015857126595162",
                "255813904798491813324751102601910219161",
                "323946605861608000766217080072488229461",
                "283396345191287543174758171321888538349",
                "201409436287597072242189330023489526031",
                "3153352611532987531883692182977025057",
                "255799998239516401843014598124422510517",
                "276830975331188268953429486213969279970",
                "188662568705074213790457635635254029668",
                "166345099895974680472671742816215413098",
                "113489377723341982346926645990828162302",
                "205976534984119661828202756157016527527",
                "194461933028832511629950473871999890967",
                "3697916740781289232538399293892540704",
                "56915562101855208675106629578957114060",
                "279528207182429640549860976496064382969",
                "13932708081578381761413696660093976353",
                "216135671596054679491531917702666459579",
                "15110659663188057378449806214635991002",
                "317240180318240023538548548653410154430",
                "233572575118804292224624658806163026937",
                "186072691763398712165603618812119050589",
                "303333108765028579219754701145147782949",
                "35668008765833965938786610702607879271",
                "217680591657626055981400552310226700627",
                "46608528166830263334342692884419354510",
                "196254717013245654839744934011430657938",
                "294077222399351478888364825441635431901",
                "216918630131791754787171363256749123258",
                "28561031590229644234334720829331077745",
                "52648449060300305866475483598112053671",
                "267144965968710887707095409494214825845",
                "84516537456731042937829454474075335124",
                "30476698405153658778396888444303246646",
                "102833645817739156271850794729911610457",
                "247148209832284010540668272538868320510",
                "109472255098756063127945583899574883802",
                "88981940086870674069310934800102300768",
                "263255932899178251317548748199352652262",
                "136898651619715158438593889056966514695",
                "143716427947599321115795098334459337046",
                "98410663427242285673212739948637619022",
                "29996669992503477283404570171195705393",
                "66194816988306861576177243462309931857",
                "175447554544561265409597315327451441602",
                "8701979308386635029201614465722167989",
                "58146271962632601960538859292833226487",
                "223640063382073409012387040613182528945",
                "305479998575005078369906763425275451925",
                "5730439111595914956592944762425646776",
                "127535385738043274171460962871476620566",
                "92228114488795433639294222094993559708",
                "200245796057632612109949310626965189277",
                "318021726933797717729195796912620011663",
                "213008551887558658995693181218795099622",
                "33531207506038193442207479825471503189",
                "73901716380029476583378104325800692157",
                "416203611631430581333680963656610717",
                "39322980350119183591150747789333885838",
                "336726187404739814549848850634985189021",
                "258053511737254303111540813690862392244",
                "137095370834130941364190997946305410220",
                "83256294309018277013382006361857341220",
                "104811137614323845866081512221212603561",
                "204903705001215102506546644143205282088",
                "58379451940419958344973534144475638417",
                "230508688838365981487101191887274719434",
                "210283570714301023293650686289173166054",
                "151309228928632928018668842226683875382",
                "240671485947907687964502968170660719029",
                "313527616425772661427820602763330033413",
                "30856049927992407384011112661885613153",
                "177098058816048924560353899535706612993",
                "44619742822620537846586271367679992918",
                "149567875718611604168504123248573494627",
                "56113152715701824406622867115045020390",
                "79255329275439450510989527403769935500",
                "62259851079580030864719232962969853967",
                "192196566763297668089364055808112598151",
                "281431221200078964630457730277712856995",
                "171627084560218000846263525166649105659",
                "60473294831144716657876074069417430576",
                "125095927458449450032272189357337435529",
                "67826843658529165256634529842917463469",
                "13577806509780910462353695935037227411",
                "173582036859099794226648314475075830138",
                "173532085460484452353170427305155265552",
                "154789277969588147513343869018900857668",
                "99401803720280368620093785128019614526",
                "150357853818161204977887396135647361941",
                "282479044011907201778744286806734414162",
                "97018426618990631121994391718546399634",
                "107653560818988988206768762177131617820",
                "247521266239481328914172982665057902585",
                "234014610980250708454561140666326624292",
                "55440568566506086302997812756337059529",
                "215711968756248892154652532545332474126",
                "175262506338629549751161872155939702645",
                "37003439595734984849598375822729458044",
                "319714834154166683345984032897579812657",
                "130959012792857687719518857593112418818",
                "304788512171799072584047948327935798400",
                "225467914412204709019524628634034965106",
                "178439261509092734987037412763305244160",
                "287595706425996234994406186448308593793",
                "68148326407371418880152722156064236037",
                "179121209239022402461175326238447127301",
                "131387271460339245334160526049731674583",
                "31087329654603445679435387670278946443",
                "264703268191586956359102299112576426489",
                "223973605791105662867304072855919074598",
                "1994653922181556244924873238627574665",
                "40061816725019608038897470337707698758",
                "18657146195994453859817170280621810627",
                "110351629138095711879047709101578802436",
                "268175437390241852910607387021482551505",
                "180039967173617078319437443680179165082",
                "262242581358881914592651599975344561203",
                "213403369886201024510744331468583422169",
                "21879662247357052431724708027434083989",
                "211858479211018283702862876120438660369",
                "316061407444636546131724573706016531672",
                "220340700508303055874216578758292826485",
                "89116402048799187490399743996045472686",
                "15298578944139665917132750464692972675",
                "249261151412395946932907669908205395169",
                "63315705937490740231123314353342768902",
                "118847613565112272203987228272473008097",
                "209942215551891653794821855699439998286",
                "318270616683283576806054201021395137293",
                "146493611587316521902525139725377878268",
                "330738456679887306471076026531340991951",
                "318403285614080984512195833062205350433",
                "192160142089685836621076488758904610312",
                "146868580254791437204727148820601406216",
                "16894595921286130164230737247592336824",
                "54452555981215128444867333655964404946",
                "273668509784205367792843963494877092419",
                "254113742289835176584274953673570153818",
                "277152745822592776913573980109984306853",
                "208516941144828106323032077715061811276",
                "205724236316368041215531901618487470024",
                "112171383643600697166451097577712132787",
                "234627737052080993951655232587384120583",
                "213212544150797851585786358533090786098",
                "74126434247003103479793997063323379915",
                "77990739148119535864389379880959896189",
                "115859398927939776364093149430402808280",
                "105721785468605473830180665691773630943",
                "276989127900134238259223248386162732841",
                "246694307253794719293601557091038120821",
                "292672800905546465487054137128171469650",
                "287949061460672404703852887813539469593",
                "243978867978562719994449388078891162980",
                "84201346569370373406785948027599384701",
                "198178634587365620703288053325573838312",
                "319902063490736543990109932499532308839",
                "8637784912324543814090721386479020117",
                "309220444367387393097910361056202986078",
                "218475673792929725826372645711623495596",
                "41601172457052266596283656016067154657",
                "36848500790135926275931612296502524004",
                "303115723309895200081804715638022542384",
                "136819262380254537044176864189296833413",
                "182398456864410226958766647149539137306",
                "114157901043791815743312573836143431059",
                "260009264235594677402885009192828045489",
                "191083621702621694411806710435320579215",
                "33403907280037937351023792921986793413",
                "116542808000753289520687167643195201878",
                "11105762992851824590285207903056288056",
                "13448460209212648027628712276035734091",
                "12691699535582688383159475442357414359",
                "15771395061508931827033202279468533726",
                "249501762939530369926828023035875999060",
                "282626505979118350394933774383838015413",
                "64788249879480816676289704629882014592",
                "238371028213730818384841414942164611543",
                "46264673194785639144751583610003258050",
                "237314157441612405295372004827870113432",
                "29192549578228781536759804756611653296",
                "215929015486395339070629966865134294320",
                "37907192601841765794818083688762313392",
                "231338243753289276287165680705132761448",
                "102414142123668091423942754500189055904",
                "32748642151666245454627954008860648493",
                "7697413365299694771486695779700176895",
                "317105598888606107233344197295764182959",
                "247714047445211075988127413988895098517",
                "255328654349348490630109799781286191088",
                "51089989185605632518099179011890377887",
                "289390459952925836145962266146171478941",
                "181968464768585414174241422545918959496",
                "71289202766778883419865982359195332556",
                "12482136922091270475029054255727032655",
                "193659966725020780242808246740860458915",
                "222526768359926467770765801837300543970",
                "214863445664685768724354418357170575464",
                "134136588028089953189359655413056008398",
                "247704434796590041992857033257045802419",
                "276451580851404093386859826886429473571",
                "198363077247349795230023228020825688334",
                "324309409744037321694588745525341687344",
                "121979663452377905064458346121013469897",
                "54622246920907052409418511543376877625",
                "70429052526194916855816576659428114932",
                "235737840263703177046847990140886911833",
                "241433310358328736319965283175756986853",
                "245631714914739488785648035114679571693",
                "136875163533620194057357971999430617290",
                "191027920106303191119455414783872300406",
                "222873261950123603424408218656905864186",
                "47553802446352654821525034760264780867",
                "128300531392779973537997677554841359813",
                "217403432184682931260485840473347214685",
                "46563818768074035211295768422730083223",
                "169203839152447956585726955379874035827",
                "275174934642840307365531397821715139699",
                "211643792670288529013032393727324920636",
                "150360787992895390684347765643546923196",
                "294945564750314199612403937610537582006",
                "300714625086915296580087937887284550505",
                "147281063287407377457901430456638961744",
                "94429151012270734148005717494848973605",
                "67322992861876947857748762841643917012",
                "100580492536029645445991231021758146421",
                "60323504426436292991553031001808873499",
                "150541969935758808179794360614410502074",
                "246408448879988306700714524299464403700",
                "129042514139649143079502212619736867302",
                "118184817087665391746270603138984577598",
                "174071441603545050417059029000204651434",
                "135518358232405556152785421302303187561",
                "61768930624084900147377748058307455654",
                "134093731525653300398174893738194072094",
                "127457518722948469024943228972816723629",
                "210103990356761318414272153065642693094",
                "96776834004445169348231304652290041437",
                "213047404461528894578617583142988839412",
                "210255069136911223757581812523683066954",
                "274851597052148934852105714916694232946",
                "273617767222904869441990270634631340080",
                "255589510319423663549860835274150674752",
                "303788427781619890014434065985015816313",
                "4214532003848297839354160802179333287",
                "97444542649300183775515832321876132732",
                "326244282764608604383457180551937524957",
                "243859374704841605813749938298908044165",
                "327135093221656758833698215298634354943",
                "218841169248837624112614219929544576432",
                "115069139553368343028722161587626286349",
                "151414199911927817869097034377105280713",
                "176500193536377678663593941211882249088",
                "333205047402453600025280093456320983419",
                "168097323620343647451504490097755018159",
                "170711858132786064102426379245508904760",
                "654085607961316992999225137727036823",
                "74383791302274609094410916323193376651",
                "267436282909604518639743005250333653473",
                "195963321681434737485638940490705815216",
                "177805192581156962591992495936590474369",
                "295170380754284333293682655006848648838",
                "176340305576079578022875920421651697495",
                "109336756639002575936722542172467406664",
                "295892642169746463750718932526745797198",
                "306887930145596058690195324262519025817",
                "281035627785717188936662686483364128060",
                "79342532938148034870739823570331151838",
                "26856462892848829003348666366975220254",
                "109613664960759355815156470958590999452",
                "271311867376751324685414842779596287960",
                "59562938928132976527050479611780195655",
                "98471805918515148505124386700686902406",
                "251417601964343791586036926111550816043",
                "116028737466892373453513782025931591543",
                "91407989161489907990321057616400149135",
                "41055554769502083281241104264115039411",
                "94647485597700828094200018802644505472",
                "65289237893102544995409050049058346167",
                "304872288749809373025951162817722427888",
                "279668367125137521954083294280869922659",
                "99491307921789447506287236739517496963",
                "55178105958049894663228280969266044403",
                "243367169074079359353245500084316845555",
                "262982088470314654028739196111426286956",
                "198724108696820414714557969739530503093",
                "98069425149108764763388305436069018954",
                "100897283365397919975585351271694831985",
                "76640708129396197501278225178165047908",
                "302674079987466415650512608472066594074",
                "581272810385198726217572428323388360",
                "121605636047454258935820147066978867869",
                "36799033360966435400675545428296386606",
                "198909672061208729073795692107215478999",
                "54335005070902686550712797316844340500",
                "168874774568880712742754867061979251975",
                "157609417092026658663234471402230263512",
                "138660519819756548701889385745021408398",
                "285320222834888107246801254802944656271",
                "269790956294250784554552739224438716306",
                "193256733177808893550909475261019929357",
                "337018476518080542596729507944051500275",
                "279458572193552423617818443849519573367",
                "89686986370136891722654727439675866995",
                "19904660154726799529552033499887275271",
                "324032797961475484160692384170696386744",
                "263846958258366659125964530829936281413",
                "119868773377039830883053541904729030883",
                "200466608836151559987070666631504738393",
                "147487730070116026843150493118154673222",
                "125256797146527556768342933809860285648",
                "195894675845992008017239170531858966795",
                "97792744657092439093216073467363705234",
                "313385731429956787297686334929916374675",
                "214841810923675733830631099037490445134",
                "124570494762763911353718595324240380445",
                "165467574539141696787633248871115057193",
                "66574076212978354624146639656871950534",
                "187229370500815339669865038686617407666",
                "202250756952164506201600074107389123485",
                "258004947428059767250899308591681018231",
                "67832094312186209539847923810754326077",
                "2202464214594394359649157487987488890",
                "246334988280699655691926221557167934523",
                "80490169394079458880491558214167903102",
                "146707991993148145163885094273085435434",
                "291725728392344089479508420838377288053",
                "149242804366973868220982121649322069594",
                "201774038137342173453582123537112656539",
                "109937715058788658744543284026739891592",
                "71382394683480868373631475683799606513",
                "305165833208456563181538802604682475262",
                "275136508039965624787858516439566195795",
                "20295026486209588314894018321156612499",
                "90433529966460412450800040175222633776",
                "269060574573067654598578133306776872012",
                "160555828211387699217401630593773585756",
                "199801599258597777479195262118150373267",
                "304818561630663520882169589974830367886",
                "112164897872051568402751122807940873690",
                "290647682579244748264134785483417133860",
                "330630040316005691021736248771213999087",
                "279513069482768576762916752718594808655",
                "99067923048754960942758405008968334148",
                "244771643159109191584481369806023036927",
                "226388672580569345925841444241462044385",
                "42930045755302149841226019621029717476",
                "251584295826756813632299448188132969938",
                "689162154927577673355222527530890566",
                "37050429868179218545107655441699503005",
                "147200497820659542221471119869052176730",
                "102281368290110927664843967393060149641",
                "47007789584267028918580885944184403904",
                "23489588782692453622680719257166551071",
                "166743413525447756531286994442436489683",
                "61740319160778931957972291382850771533",
                "9685106444230904858571629487698772877",
                "137629337034984895564857905012614520121",
                "91894602785052497734453437702687748760",
                "27353751054900177237646103127479812256",
                "267293141764829288270425630608914846060",
                "40158869399091121163528481537324223308",
                "29658593950616436222877492219030200889",
                "99343736975206386742459472454197282884",
                "31751140242557164278180221052420610693",
                "43446980444145158686644052714595769977",
                "51119296528592788573234261078097074479",
                "10026738977624197918059966752765421374",
                "327121012850154009347150796741775032552",
                "291854793659576567691669169748242009557",
                "227078891095688030906011037697133994451",
                "330260044552660240140706064848240520821",
                "166051871953307552734695131322308908022",
                "165294947252920984509152635505909563502",
                "135995043795810976078607171440450631207",
                "296457475412064227194360713989719064908",
                "248645471358474343279338691983496242853",
                "288016919424981170934759486291326273101",
                "200498992998760688103834889632901120584",
                "272266685823318009517514901470866017204",
                "146817195684188631020553370746917678659",
                "56947714032087494584010342541262894185",
                "47921558477146899020821623598251929354",
                "125246807782619077131980783373610032267",
                "150021617040299560040106315424136854829",
                "151527274472830503389545920464962697450",
                "225196424046888295947410089404998989148",
                "111344381240655384853878989150746427993",
                "297571187652854136368907642891529849929",
                "303599340091918058774283451151754697469",
                "326270130304210612923243997016853157876",
                "9934527445638962214515357779454286661",
                "168190378019385883967516773963013844677",
                "274851865462141057134856840665820134045",
                "35694584734493723717138103726678982689",
                "50366311987299386424226148533445049434",
                "140377381893205437879382544863089120618",
                "115012167322222868959264990666030015799",
                "209425326267888938671310953529543159756",
                "247207819377775109106109081178181066902",
                "140141461052346755711863517885963377597",
                "317582495277975464362740895533196045109",
                "29591456993603416094177131494935386679",
                "1176934851473559676694582450381508364",
                "252915712968775926055111862781123593067",
                "131718402931103820465891537160663456459",
                "256671138917297543699010048818495291781",
                "228026718600455795348755416292322646303",
                "332827843341413600678229051191962054357",
                "216933393899182409777663460502810844179",
                "107444399759224379378979732610187640190",
                "228429833698815461103848754811856508826",
                "220414892781337918346265099747325936511",
                "258651418592261283766197129989568371105",
                "118201974177166340975024536338854712910",
                "272923840501281341884138574052553172500",
                "81483819108716378795010484537616062758",
                "313675945631402868050648384603921308994",
                "99557689959198199151605154474993343800",
                "187466571013681600704220638784905719798",
                "171418756519975600863965254630472400485",
                "311962762852639744140444469402997673248",
                "201562798021511820943726627285068935749",
                "84091008669295231867294187922577856182",
                "145731466465828350967567457770536137524",
                "138433203379197996152917716569621392633",
                "128341184885852270926434272547751504089",
                "24817996451101346335927302488169053004",
                "11247135181272359457446835838822842167",
                "172566992281518354041105591732304917167",
                "255113803135615242178144503443454745132",
                "157419205333260648646533278925852698435",
                "87731847159700449427625034331501561221",
                "242422182084927048157565120553812281803",
                "161377680854861105127083064039670254753",
                "206162708461207790636275554739345136340",
                "203542654019772790100732911142198300584",
                "267668796927467453772795776372842873725",
                "259255938354396287860346897206708042673",
                "267585938061058008602945539298380609829",
                "184722234260177334940339412566073984180",
                "73984282788516288597084011522418513245",
                "186304331172647096405186514889719442573",
                "80248600319455336754008147519083111537",
                "324259132240217238494904887097752203762",
                "231246795215735438425405925870147963893",
                "228366035265915713195059120162926569662",
                "223995122100222649709855636163768100374",
                "286645626528415050551618384993833104448",
                "87721658053807201727193340572810888178",
                "239714434556882210839940367259688737492",
                "163155462965178292750767423571903668343",
                "60330557164369626395939601457985153262",
                "149496157310572993770001746708094822116",
                "332739694158622183630825462613644349429",
                "297274307982713187248939156069868392873",
                "58741104274715232635711009588244399015",
                "129289024797585402181374530094622166583",
                "268097443784431256014830672801902049731",
                "112205476471755224985900108011003133602",
                "140155357217658406442443256478744229448",
                "26492439433411360462023537214510170971",
                "75841129470112192373666550821252795301",
                "62209617851761143865024639392890177210",
                "54069793201147274510675553910268493145",
                "121636121727069306306599682432764205385",
                "149684866843868263280739292134799313577",
                "259549535600268758125604816295933612936",
                "290849291507109767512763905253393857174",
                "334903506991871290956146678204854351221",
                "252188376094936328358275489529572369628",
                "38719237036298174077581531556884784634",
                "271409661416136301356914346042028347022",
                "330230520442315197249740747013336840551",
                "94511094473313877710894956003045485507",
                "57919065256314636500924059350660995018",
                "281607219140825212260321934966790460232",
                "258522567716616139901470169414147941503",
                "17636364494349482820343855583690193057",
                "258555777631300820764886780422923419771",
                "251902419493030640545527941975113300047",
                "201717188230854002114655699473153912649",
                "224590528279763751992973178037457088453",
                "141257678673505692053387943564008685551",
                "308227561494351247947857350873291227782",
                "248371752169563896493730064686338870585",
                "136633826787310345426763579453814288260",
                "83703388893337204064111577005527639277",
                "212362562143224884631468029750941363015",
                "124347546135874122038352742024329618762",
                "284841755786632576262934484977493408219",
                "291644058812201788933537526527568194402",
                "147138799610609267988830022274859184256",
                "317247447385552279198354728009400623964",
                "253081579773648007241874891221096328550",
                "35963095059024191069671066973307803334",
                "116875787219673964804078547441686467178",
                "268759924318878220499403304946632164041",
                "272072570359714340534514979671445558116",
                "94811849930147547705964678298517328238",
                "143886805565055303881945387266678673110",
                "10088400659807057655475344316109956450",
                "311267172361972491213352987758719570296",
                "218428843855008590614246827770036792157",
                "151355003983235962328631862693439876897",
                "74413123566522551573518450786007774622",
                "115552908777692354044337584367880935469",
                "316949515177315854035390722508794232436",
                "248216958179500145826934748251413981213",
                "279041702289784702445063629941895894410",
                "311029352163163512977835925803422715663",
                "105604607528521408585238835571965832653",
                "196599140705447079991860770253566158833",
                "224039194004821317111745602091202433253",
                "202587207587555629524540648510126113210",
                "267230273391580821524312373941816572749",
                "220922475667477159665170104994745903519",
                "63057453061222267920584812454558186796",
                "243355867057099265717256221750108085571",
                "171096269027410813331214320169966619194",
                "41060294850243298600307698260019023340",
                "172259374519808931917258670933060263843",
                "97801675131400154864776577808839892619",
                "162506363641733261554667217478560651501",
                "215339024451057929287557703590659286029",
                "50281424690072937270024733458726212892",
                "45944901719907708448585332797337416748",
                "9842482827722439560084219097641822762",
                "248823780602115800253665193434158943372",
                "32977642452266983879277452775674506577",
                "147671770283370152474758305094809487065",
                "277727608042166049870280948229142835715",
                "175606812104750637342917405543852145009",
                "99543377611215593277692890421160549014",
                "176426987787325354022312476632481274767",
                "59494177706525921727748841854934922105",
                "256943265981162243376933192018536896775",
                "229016388609721045620480732524636404173",
                "180312255687177334234909660672696570772",
                "48281367277312198296537795337596793326",
                "72590353569872263021788745408620772980",
                "253971065658278094922775086544394138967",
                "323149181440304458099054007989146576855",
                "287887884398192310673583710409875818489",
                "244361038587578585351631829798229959324",
                "122606518174148673570637145135961020660",
                "213935437078732816893515470108071260952",
                "105549878659060853357814068834720922754",
                "304729315293346075206571131622266125533",
                "103002190721268553544173160102949177427",
                "18583227442239773132285777068659561476",
                "188589745947787725307883650696264740365",
                "9886909689411455299866466111070145732",
                "125171267338317265607583889261622958764",
                "78424323043900105489374432459113454122",
                "61952903330509677305172638076711640986",
                "147825975634156575428182336633167043308",
                "312702992707595986958241092351394408814",
                "164113459210657037485462802769849734114",
                "311401723320756832549044035733869533937",
                "209305921774687600552157011234440204062",
                "327377957729168029533112605805074014866",
                "201787854025787938107859856499431272600",
                "231390928413296505132510811125912061992",
                "208183374869935399857839353737772458814",
                "15925041057510945543164398254862069348",
                "269628120591265628758967140026329285419",
                "140960386476301658715684921268346232575",
                "121392614406712761410571742508171001009",
                "235923468778829316843923422498446249543",
                "75350803143043242384887094155668699839",
                "173582041098822893935996347445263742020",
                "130146863949312936805566019328965389445",
                "273776695706220501119680505760005569373",
                "325452627320105636270059148231286120697",
                "53874436541417788849929795948960861287",
                "57394509630213663924954490473148040067",
                "337570992060348532786579620517579408141",
                "325443159635443123902781166455991771632",
                "153053000895169252712509738490968248835",
                "48327017154110594535048990953603393969",
                "217925639415903597314408345607767600021",
                "308834843506203755837237885564592816763",
                "16304973685124802964118427552116500810",
                "258908605627746410513887073187285520957",
                "336621008333384024011963281228199629474",
                "238783590821924830679333228506272098110",
                "126268082677608885387636601284725525166",
                "284630392071142845700883352745972033476",
                "100335663244239626245094232932519721786",
                "114960920169579663278948846274958468898",
                "285868943628226972402030336387118221917",
                "182547773857445860371043101342019799555",
                "126740774552024264239329208693823347557",
                "256875382830124561683461139152091582470",
                "191085329010302488893534058593356876924",
                "9932666072540766251127945966314170644",
                "105144110758858152487683236363676603370",
                "319243654695638634810237816667811943778",
                "38682757008756084526791728789633856462",
                "18670978295482962983957206977118160661",
                "39169885800567801011712854919709551628",
                "77501033816612192953596994471504635373",
                "138955543215822835284088796265084439672",
                "112298183060564318747404640975851082620",
                "293991252903146634888825437639132459595",
                "82995924289823975831041311861915768423",
                "319111102699163912904535439594845994073",
                "307175637568144247670929378826840522447",
                "136339570079869156525754998344460645099",
                "281867674096606585616370417500820304513",
                "280523369892554068379788899251964860735",
                "566431311340058272195723677227761751",
                "253578035194364607023474941018595971502",
                "82161050152619863781116489339268500676",
                "259635145791481457739442528406338103506",
                "192499014134109402095646579251263810189",
                "4595074493260985189815319673452544071",
                "6608135756643709575080479764047795260",
                "202633218836845563171198858410011566857",
                "273493352765307707703750914805096878271",
                "197200648403938083421515131597655005486",
                "194305173815867865781009258720134064096",
                "245235732365173884237889513753326248746",
                "195461148361632240519996955617182626555",
                "42998741162871955262802915687711872287",
                "229733439790495673759543406673658696438",
                "114297369314293836120968059887556327013",
                "187417307831755864338963461834636855752",
                "301930917332062553295371484575669319287",
                "266191294330092834376954556605670456468",
                "236640966101095574512914026972948769462",
                "46610188082072477303609863412897536181",
                "336792422294603940797476795009961564593",
                "43735120042955276124884100593624389565",
                "97826878910488041045071199425594250051",
                "96110740474804768880131117260074547666",
                "169758252494582742954524930682461021280",
                "248982561208929682037638256129460885953",
                "310973707144135604979830075271511777378",
                "57202958447346735676627380537632035117",
                "192255998707050415592520007883004735285",
                "137000799559300396918051844041424200960",
                "179365439925651715747159762007397322290",
                "27882343553788675664000120531760544766",
                "16239439031788545241208681543875010597",
                "94634075274339675006328072440908368552",
                "265547096594355401279005987530937827349",
                "143971401147461658153097533772901129359",
                "162086895506228835769342954687242467121",
                "83007075861995434920779592126040153004",
                "8008371281513069379158008782541078354",
                "99606636088599004526752560076093536864",
                "129749082691181634867846167892545445839",
                "308697025331618495117877690050629297370",
                "268936803719310676761218734513063093474",
                "417354635759547655383039230508252942",
                "286885937987884687865523992392028596552",
                "277112057403574771816869842895492994480",
                "279735334127490322435277492304915298284",
                "292347423426593212919497751558799992164",
                "322240890457954511336313014550856609140",
                "76591463356405471989721421291137724695",
                "45827453599095976238489611467530570452",
                "3687326898087599627069447879675811123",
                "154731906133805041088761018147449507356",
                "51477220204777340770578497994637957096",
                "177705004907988128834552876535829565596",
                "169195669540924231584214435581229131143",
                "124741079957369735397418978768193817774",
                "175038330456057294211699110752991396302",
                "173599367703841742064010460310032294907",
                "92736027498187680144501564263559801725",
                "118592855954972645750913626644595918710",
                "40890773090963309041472684234218895805",
                "80941001247598825257857633194535159185",
                "231068486963306870363584672061824833941",
                "159279857728855049567729893883276323321",
                "283455239240661170065578147972252588135",
                "63721022194542086733198323676273421403",
                "191805966923086771746211854988345423977",
                "335693076781875972405255671072658605681",
                "295767408363358716999751180919060021736",
                "6870099254579749224918494758478982293",
                "283759350360835871604134204014577860192",
                "129430381761853250085570810855650630995",
                "48698369221062615817454548498495153835",
                "268655449933559129396110030822780512856",
                "9908254363206948635272775738320638354",
                "313769191882369860941702596012749277891",
                "277406295840204999594817456031311293694",
                "230491175941815462711618673744475871304",
                "16481060888616497091919269910180534596",
                "92931252296057547941340075836881441656",
                "305520065906496344136625514986935748936",
                "162574745674980557104509426202000349736",
                "235642257309217141157075606253009098844",
                "66777481139056259508452780183988337571",
                "195300760716792180171810124620754097818",
                "234192966663695025052871030274718140716",
                "93191503917587963143527312265671819681",
                "288835269830340194788548897195841952148",
                "174815346233986017337582305176436401406",
                "106568853531835690939944835551588803247",
                "175541740608625967271302460403006578118",
                "318232727037165732569081317072372857452",
                "28797991483143574646692107651633874401",
                "32565122284875074940886519796644371851",
                "175566117204607877100904246366205483211",
                "189470394954646416502414402075742346502",
                "169588174733025392426880771978488479665",
                "182633987779370178917574024196720917927",
                "305034833730556628493261550639672839090",
                "241304429835977341261694216157357599307",
                "49561783389426859735103459917354261456",
                "128321667781882213359496882552762231292",
                "254930657973399061365521457425325947943",
                "126817868649415125452881759274696914804",
                "105668851659156964710101980736870156883",
                "303942277208757276900079325355201880969",
                "54878120646270859891674152696438560488",
                "210972204478233124054787826345148659017",
                "13176515588539804036853132173097217663",
                "132058302067880360150993803187583202225",
                "16450104740462949309373321163740745375",
                "302199636193055496986704385060205198479",
                "98405915328509137727124571789783974820",
                "48114934954027383199422612854816047070",
                "322493864891918776550249668605016237645",
                "204007313620749700378753755759734876530",
                "87985213078811341744090632103031679529",
                "16624727159207947874070476370198723084",
                "298265463810593470990617901730489576050",
                "41310494259666509347863909669555613471",
                "162023898346286139014478938105629954995",
                "158454857368532297961614170736237464985",
                "332255172227905405668056857015354139039",
                "31712559584186327918260590573927906",
                "213926492705950850456400403609787118431",
                "283870560696250869261425551282996995769",
                "66426536568824841942646192257278703807",
                "254762409816515419951914330051613280312",
                "20553264517266980885209876336245893520",
                "30268342255793372384412706369025398710",
                "319499069231972169483226685115576638730",
                "87567250384939031898389796109156546486",
                "150779643449201047963359624385731191640",
                "288811623186499046753513649133846155084",
                "198654016008078251619592161716428677288",
                "80088719009242627372512726003848726022",
                "223177628051131239638909646386198915070",
                "199181688018493073133428129454304000723",
                "228865858653984717363627313404142724266",
                "41696505247006525404984105878237127155",
                "307234490793587600621578896001907693136",
                "285861726666964937157213604936523911332",
                "329970511503677173223888107162642839213",
                "259845005994408217841035630992656850334",
                "248221318932324894727601593451777865635",
                "11561275442596240274840354617102370806",
                "260567744945005127316230674923094055109",
                "267654329892745804549245685528439525407",
                "340176318537251702200409238421344989444",
                "196956048556455796259196336864555586949",
                "70354397466931465781387669997588222793",
                "11151323845079807064162946869527823349",
                "118272477221922136545468156446414218889",
                "288681443675948138357361966839846883414",
                "16949614118781204716218515488373468673",
                "80602996541809238380555415289049643851",
                "124258248016530302030343658811613340005",
                "43942370890616394806183662633494362010",
                "302335325903214429124224192030346790134",
                "275700025126180013709141032475545604382",
                "154596508907853425868059902773997779643",
                "170997820944687532003591147316005012219",
                "130987792868390573563512228306381909774",
                "84406208777303180521822884569799705372",
                "159081751790523227951605298300544320964",
                "294410314397549416115585347286474364549",
                "311552766135392300932412593436289203062",
                "44493541134869227145993942645795868590",
                "173362113550062505557113914555684409450",
                "27699941235223612419873539945799151749",
                "177653615805847324797430840785993730951",
                "156242957237527013934385508340633085053",
                "99934035363119413412095130665255250834",
                "93395598054674033075836423039600637531",
                "767428439082116377542045489035698428",
                "308304805270615499824243181471071031325",
                "113592911078467786104714435709295213716",
                "173970572006230830495722086585580871162",
                "339836759991798396028674102094831295778",
                "214137814259294232897940591367755397835",
                "283900561580908876026987274674644072470",
                "65252721749951214185626256704251963592",
                "221784198305196599764435475653625638625",
                "271444683377885786456019053922422916882",
                "302716714498278773321221393911075740758",
                "330378912976359737460807796893863271992",
                "25565067081957418437057713431285551285",
                "196084796193555654496236678408275950051",
                "210343070743432247524501430958810895271",
                "84055594339344588461920040019213149584",
                "325344285689980380242453206152880664953",
                "305857895333610414806415129631240879531",
                "146431675382560703087861191021228395938",
                "268916193742018023810720645597112382618",
                "255451197220075816704099242407335901242",
                "56491239548633441633923669809138241164",
                "84381780438453527561089132327385948033",
                "81169163527848182544934394817066063526",
                "115936881584825108797874672151564942483",
                "223689697879708129207915986388360680149",
                "176413792570839740197058704109443046378",
                "24986603660700801475009997920789722699",
                "268267901573741062065074666111126514826",
                "13859956895142490573984770952927794224",
                "1408902451721853456915559963888828578",
                "2060782871021304515040946843098367068",
                "254933205911521309567840169441427859667",
                "32332077668437801486422474929225593635",
                "31489067483830179642096075623683133426",
                "247641602552971594500865243910648215950",
                "101589291039462891874613627057729456017",
                "68572349148810130863500933154571637818",
                "93846915053460432538738150519212621646",
                "111054994704649497850563652102435542177",
                "46790271327638618524461066026053348875",
                "118971930971858993543439148173877881455",
                "107758250865964934248283343272157744245",
                "117476566546968621639719444985656078356",
                "130270817260482117770000720828353328957",
                "32504783311833689563891249812963682257",
                "188296406336044508446358705536765249968",
                "234032212088687790021962808518491930763",
                "58199441613480866978511916932873675036",
                "232630002003664300493470309773468876144",
                "40148915352322283948449780194543518196",
                "73992651017934687545304161135557626168",
                "59209765682946619319480448092515218781",
                "214397999913303571244044812675098158236",
                "272084939948644167575913063311160140275",
                "107436173076399366924573236648368991308",
                "208370168203063923781012701205747300720",
                "22853825794644701416643300582507510186",
                "87317938534811615330511375596860391088",
                "204609528013038577861037282936733849795",
                "37885506376158024793915735224636768768",
                "49724012329911679363310510197112028613",
                "147401642488755412250109869536120037474",
                "55897623759937907063270742061763928702",
                "86796614357537315004127410434326468226",
                "262783897203824431654205553012526408668",
                "54668136051523385665554568754818787406",
                "195201618603839458097945215303995778993",
                "147156319400525998727207444611876653562",
                "266466077230371014911594415931367363334",
                "52120868673533352017786972198674751615",
                "307333068650566309861476291552746323328",
                "241458277520967604837073841636655222845",
                "112331093843168911610915828321537969422",
                "180304738378249247289362131555789762705",
                "169915178015692540252752584937232493314",
                "305997689229516266934820849838035152059",
                "54200867270877719864352526176367471227",
                "327468153925655767043441829785895708755",
                "48150959712143855901047998752535525758",
                "123333724289915080607433469843731114721",
                "74231869409868105005101140051323028158",
                "41554225945421128096492374818510845441",
                "222058388370904980660594051994469067002",
                "104835622407430091268685731278426959886",
                "186775293815835751724345343511395845997",
                "46983399824389578533927984806511218300",
                "151327236674301566936178271687113333782",
                "84274122217087964720475914566335340613",
                "138003073024985755458052689768121741444",
                "195924370253129722579031576861111122590",
                "181927563285194679653271686424732227379",
                "128431770962864007254346946482884078746",
                "287043842543019316346988107922430745341",
                "5051781938583263495321069118489264200",
                "90933697384019291243107510884103585725",
                "128140568511324980791417183975313083487",
                "170225886111292054447030602737393434835",
                "84601783909893547913997540142665109494",
                "94909514940660739552207657427775406721",
                "174573331640427418503542240339619661925",
                "154234825920645302136866262327815268212",
                "300624338722654513946374828987851484026",
                "206791324636571794826776564056153384100",
                "67989724580554843027287122178358309578",
                "159279834882674209650003621436317195439",
                "193647720178302530951688950881093082922",
                "23864378466268774226150872722261914057",
                "321035572106997866046541430618445655849",
                "17905547200234837100413164842335193622",
                "50161126179253471562640659496749164616",
                "90005121067669203176434691556179711907",
                "273324058086700835042026330039244684658",
                "212645522323063272381170417055036809495",
                "165414642533469084409905838544080431267",
                "164649378255787721127605890603174998732",
                "179628693780756287757285956296155474960",
                "62303082001269020508635180255722346759",
                "130628115393991678487554296400389872704",
                "208218898954648336971511085585645824903",
                "146233393265054796146387153694838344904",
                "242899759749703382588196220394448459672",
                "279320581373878277905104259617483606786",
                "232187595706853602700177899060157619563",
                "231684740582930971517223380232318445482",
                "211302071990225598922973423391649275101",
                "241572522942201632609153877011762928400",
                "327513505084464041886583052788041274444",
                "330671725611386205238527462534452427061",
                "105280434912697166022437637309486236648",
                "278029104794020133677525730056309604081",
                "145577038674247495598160062440044820570",
                "113432054412299523074145646029010893014",
                "146411330702765137607387043215019316132",
                "55824740308291011795645034356407091961",
                "49078881300520313945892629733928456404",
                "139710923054669103905696906443003869928",
                "13593467394918647865211343074244945627",
                "156915534318028711290861955348256294118",
                "221286660679020589257387372027102415080",
                "22186252117455918472109365757771358639",
                "315705418978532003903420516250185750193",
                "315896709963747759340081745745370316597",
                "145761241686765593329573160428219219858",
                "317181336003828374687221385381019823216",
                "336884983197986988519953729984151121209",
                "235538569075563555962174041213068326189",
                "269965617053598767795061658755371582433",
                "308151049377513727610134381948604366035",
                "12960644343605346642816754908305967126",
                "240007799541656462671862046466645398631",
                "53189287841720602829763920276992645470",
                "75545673285243019651041232622452221432",
                "112926701381278929082222896717526137218",
                "283396657722064081685311449859747410407",
                "268744061685845927499422878759753678272",
                "271076201239635266472647089898664126643",
                "86398476662851145058841769907529849711",
                "312374996033763269013482085209874671832",
                "102358237283199183691772952291371575190",
                "9061281005282794894773969569854409638",
                "82899359173965752179379816630373432275",
                "69961060723219004469185945339948489462",
                "107308994568508539346408042814443861471",
                "83430869231000261380031774244514752130",
                "85355218898198234298712119121600213749",
                "283813990722136161291549863048737117242",
                "145674342883435800409720085703309806304",
                "279213701612457911765620901448710722042",
                "111804132991248558679887410259507440687",
                "164321621484971379227925488059890879932",
                "89637086202902537834611739065208402616",
                "130130250345964740928239850409860006364",
                "331343678643895481723486369498661231423",
                "326754424865495497908392540439306210417",
                "229149196009907737631971158617424516546",
                "265746738615575737284023924066329726154",
                "15840225931012865062542769234318350561",
                "36946705597430891143754252845287422035",
                "290214258595211124532745764948647615673",
                "46600091078484286212760203331909812126",
                "269253430091131566785097499533853386516",
                "223300331094830669995203704316363200848",
                "184173569186586077487251250410654645523",
                "60600729336818244895146274881482213724",
                "201618408616837422315544129674444332597",
                "154787637880566221370719666119471279159",
                "196844554313866767444178573727345059760",
                "161266085273515564684935634336255763138",
                "73636782222598521609393225808452290998",
                "82949617646320326612757673250203458451",
                "144158202330146263005679446141964411445",
                "200348436629644811770566000328165847104",
                "273646259408583383938546581403265088037",
                "59195987671009855927805749817472689051",
                "131968752243244300531386386402803881204",
                "113987070863832138618385817778169563432",
                "108940378523445855197254410737777476972",
                "281513152238324805078994954796435104324",
                "334740493862280166098547634045042831633",
                "298264998622110217478868680777827979847",
                "153538536092649645868770727660815291581",
                "198171579866257240493933246259605597071",
                "29839229416308446881370169348003267484",
                "215581537367216798407422787930734367492",
                "95300932037784659627546930454232195572",
                "273284580294799837327149108547258635036",
                "265423661385108936399674803910952276038",
                "264244525576238895241671209763918640418",
                "124569056875513015980598771977795023904",
                "164075873714727534461655527197095489267",
                "332593089966106199165366523977095992202",
                "145569371176908740722974997610372317906",
                "101554523612168564435668502997505387922",
                "219415740847057907257200606643303570838",
                "34930831405608802341586208283325314142",
                "143453226920015614454449130548626114655",
                "26641289734372746266739369721250806231",
                "222470899625936238486640116926632538632",
                "79226059719873625865649940362146595221",
                "50311874108552691760085331329503093206",
                "130277301166829104849193927658164664550",
                "237848898435284905594591777895803937776",
                "67713084235250598409264050937238612330",
                "20192042923789833130746207751873242535",
                "237816431129815731336645127319266613859",
                "53183556340313790300473828869359148465",
                "211740138371399450281614456849035040103",
                "292593325279668639362351498410828857111",
                "7059380783817799767004491806176293700",
                "331882401696638105005940603621727495667",
                "285554142337442566123060718076083441593",
                "39968670578798594389922659193116762895",
                "55378803380119568084541402342235803949",
                "85488276352329401144687549767617231749",
                "192525859031640513663324102181466196840",
                "89606857968190385739347309243646171192",
                "7499675717868899259732022495758762736",
                "246703261831339970645369295927914230050",
                "57002091250283005642896963741965140447",
                "334976319427864833294928782480646395444",
                "163305319814170865250161995881352637128",
                "314067609515553632418429696703742526128",
                "101236610256245760803321240328149367751",
                "296101722151063663620380341438220350004",
                "123524289098477823209599537855758127717",
                "142374131979855979661434668754210079481",
                "320938186091165581749933070907795320009",
                "221037815724153143278264984179969823595",
                "179665310265987201966666544804011706745",
                "331175565729587914797067802018629844824",
                "172121749714096158584260256858201152244",
                "149965397812722599703541543054860286926",
                "261792824633389094377351456603894134338",
                "5974418990801679812419083433259375702",
                "13401423071518895196926095093346797404",
                "41828710457340163254323114396778081744",
                "325006939377103277065231791254741667744",
                "51078251174015192698321801921570788669",
                "46010525858911867060471636690068639675",
                "149090241489731217141394466486307046543",
                "136965897011386300504803538637008898162",
                "59597847062063045724298748122228591092",
                "107101752221994532623293102814449305334",
                "66133870064869149467073811614875798512",
                "49271883698040329067098813288532172869",
                "55731239244875474214832540759821176466",
                "229849105411064972410233805042847421548",
                "276120539071500861557330338380231620732",
                "237027053000349899090563679030177581046",
                "180880912849313388990121566318608858884",
                "333744477966979450210220198298253190004",
                "15872759915437072124130378909021004860",
                "68704415309855559575489623414663509640",
                "114338858955454768887285357297198731512",
                "56489614975524051587249830829321388420",
                "255508371976490781586497719609947558062",
                "102351979967094510694744665513568847396",
                "92667468732044010796666080614692870978",
                "216613865487114718475688504961967946842",
                "270437367110168762164552895440609355939",
                "80083465504702125430731131082840844716",
                "338600150745030364202017565562465799359",
                "9109824133131995780653919459334350139",
                "280820313568810472597086803405261552407",
                "255580146341272196872455677696817710270",
                "263762223598575694286062090088674144186",
                "255078361751378312555489312624210550390",
                "222285023705455363807642419888044302923",
                "18197576002729694320041566352038387166",
                "219610675042369423882456273450228381343",
                "232314627130812736487681107601314774552",
                "111225040352639773859352390567745284293",
                "278803010425408942027516519224984280300",
                "201494932897555087426794145528254036487",
                "66566969250376980631833076737023094032",
                "260426342307874551891356151875488508278",
                "213175732316108308795413114201319050816",
                "235183550869275712558495363860504832050",
                "64946153702815262218347381696734233694",
                "298522626616910135571922230018696305776",
                "132390608285508330944903042954789175202",
                "4271869850336075941952557763238834893",
                "67574981930256216585379387838628758030",
                "71854504546393477787460490936019669155",
                "147219353829856073271365952271043253336",
                "143337097613654828888971894198177412863",
                "302465721625347326757059712846579013253",
                "285458055596573609208128071517012537639",
                "99641599229110643081272948809703591764",
                "85661021620887253113820701797655440504",
                "227511789200479118324524040336188510017",
                "199091014876695238330500856572045343715",
                "189036922453683317390185307770557286488",
                "210207117133623840486286369012666567110",
                "87339917541972361265420223370901360416",
                "290309378569570674216815468318220137870",
                "151976041185389682351889813188705628632",
                "121226026443348987026268834460735334158",
                "27875397601992270931786431023249204447",
                "7363362809774878112520536241527220151",
                "231791885654718764442220461553166735269",
                "253213745345849452928882283009918556816",
                "300937821889053535031933166802031747751",
                "212722337941610146144678228188878209569",
                "194479432183215099323682303244244086755",
                "283873233444965519935599014831039197557",
                "224146727351852101319602700119905426012",
                "117388918083729994896978109835356021414",
                "246758094201045054566446477526926657328",
                "53886575787804138614347028838512934038",
                "71778331464088478211009661527245058431",
                "71838020023848243063468541079074756629",
                "161530151012229639808850157205193288098",
                "67092901006797484597642238727389469601",
                "308023089453844438812889618503135727678",
                "158532215440221927217608908786246197573",
                "89951341776543245901122485295512291663",
                "217576337512031512141299465206593105075",
                "40761067931232480110829864995290423449",
                "186293994259763095019899182606903872308",
                "67092364873445919289536900749222924975",
                "29125395543895835819695245374008814311",
                "221775482042175845985505794115178725092",
                "340171315641266599164537626060290355633",
                "256508907040539019603023044566049785836",
                "857038313868888952032187583109543968",
                "178536932601353584033430925514352878684",
                "126741193203319456389587385828522803748",
                "218581231813205425523895708901583208371",
                "220419012237900876952942831018395758076",
                "72114282547190187285594009987647212135",
                "322789269350142872392699382490091385247",
                "248081800351002334221554956456500773610",
                "197208607054098682492819282703686321456",
                "149153865399817902594681350984603980270",
                "226733700731035707796596942528970535532",
                "317018486310769993583958101453701744678",
                "295059867344055716583613727379069308003",
                "233479305636092659575449351778360747604",
                "234838008253762508431195079580721741050",
                "258572518650205460098150921900984987054",
                "161794830250746850033074604652213143893",
                "77125711697443406319609399280602236838",
                "155899760567299520922983592107819363682",
                "14018528867846152167775441026295753615",
                "13692069859371769264379897331760827555",
                "222666545698001914796044015001918160817",
                "109328686681565660011095541414287300142",
                "183235049564705154267594595968236025969",
                "255760749684410381739152151959163415",
                "125700243725522004913440644321242672751",
                "238110751350657371741494314219080145976",
                "59544019260782449091500440146470808429",
                "21797022304094986530531949152567617238",
                "235703867959312303724868981490009046075",
                "18419525757395821141235999686702642618",
                "177471893430013869914087016440143247272",
                "114308704626444264465485709892316078350",
                "6723422273844335703072158683372849759",
                "97438697047164899866909375383406047550",
                "137951018436518056465855768535483314396",
                "163489685199593584090644834284176279166",
                "242273629933390954639938239237777421615",
                "140004896379173488390193660270436901707",
                "17784772684397119190319498574247682251",
                "27682044054122278812553676716478228968",
                "153478725257138873231579455456002680062",
                "240171637832222087528686426658525031649",
                "184322942419048820252639356774900900316",
                "222948829772924314186694424743333676572",
                "64113229567235444391203824360415500219",
                "308979771023200999934229623339220794941",
                "289779580060740517668133224281256794967",
                "256333842073014421028959682408240238865",
                "53082800908210324146961644007477298727",
                "194161239333158680143813676842580874408",
                "158554792168871214824081434711631677144",
                "263979557652641913931133133505509994600",
                "268420490039273806522340635362602417403",
                "271423435681958952196800851148769404437",
                "45939174154571728618514773880561002773",
                "324387599630489561315277226868970229803",
                "12496352158880341555888476484482673394",
                "168071394802161723205053970336339631243",
                "314002604858353163784744360916706276831",
                "279967518441465934117656218850124092103",
                "313525313991711164487989763098405812248",
                "289549319161197433636687614773863128683",
                "274038601737273701961176127494441777295",
                "74771993046288181427579701017056357576",
                "153446190888720160871340038158714639833",
                "235586184894406260383263057416872302596",
                "186692742709357592092388496179763481443",
                "254848907767117071892300563370086093776",
                "199940340574765210851806082687470250725",
                "35508274820015578956531176228727157816",
                "161696848061777764643147164437716032475",
                "180150307286050273373430173207556639226",
                "197921554459328679357224566740375108778",
                "3297519052462717580378016508192718879",
                "274701523392934419760608242884829022668",
                "276110585039002392037707653445330260293",
                "212430300822170888497585666073149844658",
                "130090851537641367940795764684923643494",
                "233145704797606510072692384681898342906",
                "305227004999923239547013192859525577092",
                "130108917803124724971620787923681343589",
                "289982902968595029952581585134524218857",
                "181309395476659172917316875677633524666",
                "338874062094287204027056282852817828306",
                "311219912842496922901909447650881089100",
                "259904125334354862188554288859116633320",
                "48892579956073918530923853743156300270",
                "98433954694366749014573438231632536607",
                "270837595787884973226725989496284500190",
                "154811833983278662871605570084025779028",
                "13621729441717616544432519482598096795",
                "203525919033244432629991235394394175484",
                "8008694893880518709259160301842632741",
                "235002852030876610598880050789205214221",
                "235530721355613717877987043912631382756",
                "156436323061417727358377195626075039614",
                "91904075031401802736112522574638141363",
                "284349627179982127094812070507288148378",
                "55947673636402226785647976667118461650",
                "82245736793845483754669675168366877897",
                "106789929050564614759194380458411684955",
                "183554932143566662932541278441131988589",
                "124007489555496488308986955465795328180",
                "77433546805197339947206382995736056310",
                "320754676415379137091802082825530657858",
                "131529084689850189430834396459392117328",
                "189674010675015964729823721921768068455",
                "160344419793772663332432481468603326540",
                "226611658912375649720362228384579766511",
                "92255603139873724638189150159073084072",
                "6306243851979767321488218081379684475",
                "15841988174782583898568844014880242588",
                "321211999896354372406943749993984716584",
                "168089137350102482821602193642479745906",
                "330643044331040881818483384498284515777",
                "48869912497880696562200589892048093110",
                "192196499221548643058347913600150721181",
                "297017324661036212884043138213278180768",
                "186842861485673123337012238569327671672",
                "111895707129612135997215698240756811393",
                "293242027515613879886983865109605368694",
                "123136066104214637908424560947116338598",
                "51400696740232851342859453163611805881",
                "196259592751091405752872484648930414430",
                "129516625559363049089297280772033379603",
                "262759464474099811692818449517123078676",
                "106860211931156822528740456784537990062",
                "129368084079386002056397115097943541771",
                "174844258405257444295516728414856998602",
                "302026172051696753740174215002625292252",
                "96231929301808369591066197517287544056",
                "88749262345396138837802734997366536312",
                "333493819000867754075062137914655629351",
                "191055843868909202110300919911764028359",
                "336717923403067916731298188164014736260",
                "235159210479642159210426936037986251036",
                "88511243840993079797395762973281891244",
                "84588667691804417775708665593069213859",
                "91252680827245332233823289414739363076",
                "91694240091863027104490954584300989944",
                "285624604173192715333638045500011367863",
                "133625596518386070196760805692687074912",
                "185877049371835883105775634728570196851",
                "314945888653816549613916048803610967911",
                "197566281464889129954476670802843290020",
                "195593069302626979496265587446320971232",
                "29789583788654559243255049247200946694",
                "105086271236423586019447465093225676803",
                "320207268296563017373940353864483125106",
                "249109915199640737366222183029948577430",
                "227527613447023262254412200492802008805",
                "272766414513530160002265458292553864095",
                "280043806693637765228845803493723890022",
                "295570537292779053665947798203637522686",
                "116714059273998963607681652341750779754",
                "163655557523585478144873263223442736429",
                "201696488425387181017316680941316199829",
                "85993673020565217701469309415886734759",
                "95863614392417629124596578037344171971",
                "279138711465601703819619616216031634291",
                "150298121857146904813766525907220006958",
                "194286963747874742840973022869636877326",
                "304873343746005320882514994212571412379",
                "66672865517020407155490297748831522482",
                "7774547290704007526304534194315769910",
                "245883301964317765858545127117553127606",
                "302819078548445569977206544328783170714",
                "171462023958039911196024224721885909128",
                "14375381766008797965907640709323881348",
                "65273150476037960362309121964916618786",
                "237817584599123678779072124077816749908",
                "32747764041890293477835892465103032815",
                "254640324443485037347325250796066622376",
                "322263203512754155735218795469384848421",
                "44085619920205395083953411411660143623",
                "276760449558203252786019732174078343800",
                "200143865141971714085297417090429360573",
                "19942144593749478405834109928925891169",
                "230918657847676874396915823901857075552",
                "159499006948328538503646877763335923245",
                "166262692158459732167047602060948233644",
                "122823271283236874692839514520025340868",
                "147348886241623561327983328981139075400",
                "75820740024730840212879041194523547797",
                "31559856076797622090580785555902786654",
                "319179340003807432249038989406523572659",
                "62202174221036198416691555910227108374",
                "217751014615448434598170480082291698989",
                "328543323682387397098999960075030883270",
                "150957654960298868810053127494216255036",
                "270644946240510643534568601169908657447",
                "137629245500562705214773323096887853257",
                "105271920243402921627592173993628184814",
                "259074506855477999278472985699269957887",
                "171399254874747049190717993148782071682",
                "8230220615971160025526151693722877299",
                "317735129884276829380317799050003651038",
                "51630983758451105681824438575363376281",
                "293971054151735735692179495360571851962",
                "311198366175966870825692390676965506789",
                "177517224572426016373660821159180970504",
                "318090111708796344598276326316026797109",
                "151035557627241901223672448783618729907",
                "54210533552609500616840990419829270502",
                "195621763832680480110890518753435191989",
                "186367240473465184010394639736865063516",
                "291600700722781757034957901478956815252",
                "332248872039779085731765593464195026932",
                "336738578757190167165784621252799138394",
                "237825625303569294928890164999726967707",
                "338049945270767242692599732961240459216",
                "106924243533112384560652004564956654805",
                "164532870654738840833779073196188960033",
                "20366154345036434772078831736478017400",
                "58321727592182369213097941953091918706",
                "208084869005280085080769786728592630619",
                "223116619534332813316833098401031459319",
                "209999189257337161984813121921897987594",
                "147196292011097946126644689878731319698",
                "110492951914646048987532544922465729778",
                "57429718359832390724023247852425182863",
                "285421723318297709626456298152537203045",
                "240393543889805592413661673218586424158",
                "87539386005730294263094733515362825844",
                "36193594898191701915637667077376828823",
                "13578186241617546371524058719775515848",
                "74679257368223797988181098387874832947",
                "222588377308210599140257845037941892797",
                "146820795503209620273478164345247080024",
                "278712412713415940227390108990808194173",
                "90759815926958493068530598561101092157",
                "274406401156549939080403880603681407981",
                "288606958337107304635958912807439288039",
                "131289023564933965980985132836220699739",
                "294497682324798642963739914937278850782",
                "15297993232328533906882797104489285413",
                "145613141441143365033370479708794039726",
                "78777642180239897954468809599736257502",
                "184536450898117064448559226917816567748",
                "221737576734540339814143527264454042945",
                "303282754982284030130388081677947493172",
                "325114304886117741143573248062294641220",
                "254337165923976040249426732036426202597",
                "9946957190377003452880264337330816575",
                "305753605851011117057007634897865255974",
                "328627493042589831384949769145501469079",
                "192567365529742034925294482759246526014",
                "135774945586186001654912005415125732503",
                "86081724007290264451379227811790685401",
                "17862006293673056096021459328043532810",
                "289209465089926972080221861345777977520",
                "252133903596824691428508479653310533202",
                "283238149542584462808416494850284210747",
                "87382220902201670919627338529906289205",
                "188429524805098599075981556096863690041",
                "256710295248794553289405364352001630009",
                "45985801054903720255432171887197142562",
                "243909917404653032442195507788522790562",
                "9537641317856454178032900513765596917",
                "231934115269320623731463363786244218888",
                "174955436033112197563841095242045560112",
                "229026519240866681622029572853083530515",
                "61415547817639612973321469979326470627",
                "128421387189085243806419799906938362905",
                "287413801506907628427248442678574281457",
                "284330264597833191980931556795378557186",
                "95636853668696506477366383597422848168",
                "19313014951401359171525905798948365339",
                "134016753905350334621332943816875052117",
                "190268228890879338563657250983398079187",
                "80219526991162515032374429564375916622",
                "257063087574046960489517765191861674160",
                "37733049159399736046427392479948341447",
                "152222923509896627761019520823101720020",
                "322642819390058553852439015779447557260",
                "285015395626372171069047003282535845588",
                "214456831454171137688445076784403195458",
                "333202654032578634778546023229937146118",
                "278175795496998715518270659502867841848",
                "197947476501659452934619296220570834226",
                "10850117021256658050281954297949127758",
                "61935001784212837609366731759809865847",
                "133928969353461834810695649274762134145",
                "52670247699784442111233185132689183781",
                "51883791936682780165683940714017354442",
                "305208973835555450274301022695933050139",
                "297484133454564413315341551637157296025",
                "245046022163388333630829905864981001110",
                "51440199917712105994964580012121862525",
                "94779238362423503732037934120374354707",
                "24864674116023118574242112499136677287",
                "14683029331690959283831259226340303734",
                "149253074712852946786589097122074333013",
                "260941588053856090985904336004897276647",
                "56305519113363608840733099754156537501",
                "230596677145511870075322363059057938643",
                "24524026522735808654611892350272305358",
                "132189708608566284744348409044151658773",
                "91256200515646480964824685958022383438",
                "187991513560944810124411929450542412875",
                "282087834343862086167175960702938405",
                "19133487129058085804444373483818726687",
                "36433509988273155661522687971396054555",
                "160919479863305790134756816614504269444",
                "127637377513326966801288831582841219016",
                "87157629987015108723689214535071120044",
                "275206378668622129502378627470855258027",
                "197750324990905521282381512769112657094",
                "8430244706796081335123248434560943691",
                "257786941870999184338556380730563564203",
                "198985216358892100791675117314609418777",
                "318184339398053611312063170804727412399",
                "83204045854143140117635155199050072788",
                "184649358139668843543365057367089105782",
                "139939239160932955122298527959564465584",
                "330760273113050826470559472518593235656",
                "336845212723363293457164160364254787394",
                "20175038218758039111957316376428206389",
                "265326935930482778573884593721107626914",
                "94297685093845289606133677682096610179",
                "157627119002421411942153173875081320953",
                "164353858978309748135271333940560792834",
                "148770164697476193703496906370727608368",
                "97775180146758637774930287659533028905",
                "111508745664604254341582210143528426236",
                "88412327858325049857236331126734725352",
                "181611303742612181705597147372024140862",
                "48228100398354843904486971528999420160",
                "78784510818175411986555162957866273014",
                "10527793762363802862535201527668704529",
                "19168563005349551025617943981378785432",
                "286419284585116508201638794480774825357",
                "56447699620424257258654031283033308441",
                "209046218033471784000781692009858627694",
                "20668243760635016333412042302512908320",
                "276154666484414957261592228849879786191",
                "254062399728063683089454917070423831630",
                "50590881839245285950935650329214070317",
                "85637428284981132981217439615228926089",
                "159581496398573332441119283620170465968",
                "329019235050878683343012544533108146920",
                "8850605031096004555087295809564541508",
                "336164363595942482063762601377340651304",
                "179645590831835450223855068731577510534",
                "163429145801241467816082079482233134747",
                "243626264884695629131969863025227035302",
                "109940497508525493914461793001077761423",
                "333460753924114238322737987856633287620",
                "210480415611770530875530647446783928852",
                "97438290276142472789037436638253331663",
                "48916219001748463789628373483557329261",
                "200137115020199844151183593486534869094",
                "154825526149435135989723900931585673601",
                "285096137223006914925607289866239589988",
                "181699725866016183959913640334657974167",
                "295849548482626999778402638173768219312",
                "181855966199332453781566361879951560035",
                "272452505233492302146304404883643515886",
                "174115594572425797298008544499628897684",
                "139664206938932551247718099567769073206",
                "276965069984944150917679368127066691372",
                "322557704593531676619977623323968293104",
                "108432536204383942129529715961723264882",
                "246040798259892517856889270465892621230",
                "207386314120042452977065269725524672488",
                "26888169225580352826426463354870454330",
                "176276295478658500550101825618330217374",
                "32418967531616622460589092553614074144",
                "39052018113144631071635319162066105766",
                "221939396316522424122446994603017109031",
                "149777160140270056144099051795284429299",
                "36518861425019239992838164857726215679",
                "316181288855092173700751791320333088119",
                "46621817529870827146356529746129198340",
                "113035060205350688871576256008567682267",
                "213921377235269515988067913935147938354",
                "299408479609404098959136487812395343554",
                "92505485237267540472591203792235813914",
                "134927278978922785199269361951428707699",
                "267577943340943176316161647340485347602",
                "148001551775868225560717355806529611813",
                "50757325701030650256690635207964400553",
                "155812532458245393435192565994201318613",
                "260144558384312207725016728484330798347",
                "82400474017613764203605366850364606810",
                "325016353758684877607839775675161610415",
                "120269898131151817782563660073719139465",
                "305815001436293123830721304274699740179",
                "199439826409292435053427826699650849057",
                "292184248677827774358875615609347813247",
                "192162939913170863792289636751227876812",
                "262285253968002740306149432197882073492",
                "296179857323680593163098812519877941336",
                "278794012372675980528605359766859284207",
                "108684498492090983827656689572468125020",
                "317086710632093518009834104969613476917",
                "209491795747763025704637805312159881681",
                "294020583354063580075801602216851861929",
                "330074426857271988950923796682988407369",
                "129943800012353680828863851213973636528",
                "308096958641768691879138960114452574308",
                "65225617072501267243789972736674733436",
                "69048867706109599129011452881267570809",
                "300142997372652047449196663341756030401",
                "158634057194479714541013112010480043905",
                "171165066867733086310983813513915898949",
                "256744823564261621969043292729886838788",
                "60658002311228375198544446520194869174",
                "36084188698674573773810521382058165188",
                "275373384587649419209928406919520852077",
                "192847738716730082727189767923299031208",
                "74521885846885535448307166464101463226",
                "194035082773578488540300670460872551000",
                "81384121125599254326587681855720578519",
                "10772997450314883467551985301962564054",
                "290398158281228332988355409085387906995",
                "255361787304088459232536893767105281918",
                "157368343048514006581533834943379333924",
                "265553681533616899508018636875005692046",
                "301483907065293832154637525775277467969",
                "252261971605150562984538463544813148721",
                "157184217414497546719488033364898955042",
                "124496213665722504929830110975868909466",
                "53739781613684062140227050571411706969",
                "67289469075635534602250376156633985936",
                "329386508120563617349704344613238059897",
                "304166975583446583266943575286434318401",
                "168574345848275745178696732572819937623",
                "256688634090276079837906577568321356256",
                "281198506290104007994123788112721229151",
                "8502725886125664103070919890685884133",
                "157398452478361205999660484496697724036",
                "279743224534500630264842139464300535743",
                "189577865241772029972265546961146404180",
                "291896666916653761232187588847409387624",
                "96628254253361650713946976410353693240",
                "134052355193556911045725781471535578064",
                "257717470050248933415267989477109123188",
                "76356511244571929279047343316869749798",
                "162044174764053164694030231715872866177",
                "215727180234833606172209460201542584053",
                "325888796480499427262084008366518838400",
                "225277805644880651623350027794332995756",
                "23369218271893920754512404483660506656",
                "191572551877229289588522434686804877868",
                "273597050402916578720631727268477161202",
                "208891857486407152056052428669338233502",
                "26714498281770291269261901715432724376",
                "195538062857375254902372974748277527418",
                "166846285695090046713554803005317948728",
                "247158500238561394925065416418257146606",
                "317517341327363783529221238791573854790",
                "177492623555554794361696460955990183144",
                "317673325382660028400362897470833608172",
                "243644957823222039737117894657489246366",
                "216330164920352758495323620347694680845",
                "248274668575511813043660156523706387088",
                "272959399752866282305214443210818476988",
                "47323315338096966848520735629105744200",
                "13731561067800226572879772434739691275",
                "288672638370907226507309054610012771357",
                "238446464461790907879905577706023062511",
                "306086124399529045149978923530825514977",
                "160900989064534226018801940044498947840",
                "191310535719298241541709907701875157951",
                "19143312660033776870910202936378761442",
                "72067495727381061015607691656113087774",
                "116529414391608916661713691834397873656",
                "26300872152860678226215779703783639474",
                "217488534128291501390513802628734837597",
                "217173448235799773423835128059283695342",
                "182157938658496092912203417198734303283",
                "320566994321925464658639934194292520168",
                "131263459502992817199398328175765468776",
                "197815295705508418881360588309738039408",
                "323186984888556701746040864195022882732",
                "301094331657647187743092555170859310521",
                "103408329393109379903717618059337259357",
                "302238051316079683109538708477762103352",
                "19750741713689268535914486756102326582",
                "59156107893547598808705394004044769612",
                "224667461893290849485263990230998282251",
                "249017338443543124950885368350572693457",
                "15806485421244441448786063827780355307",
                "108064859730788236012426227561868630140",
                "334850383605658369228668223521240649300",
                "301708154565263773972627880292726309973",
                "303520885008462683920980919704846555225",
                "210234373190056637184820619914736099914",
                "208549992012563191329567117736983617740",
                "225537001633890768191731626077400582980",
                "222965488973766908306638521517974987471",
                "202966562498388619829742231952388478684",
                "324777546123408148325804083326516043013",
                "125244958232734094325374085473760854456",
                "248845597720817508275575187970494692862",
                "17976641976816116626125475960064534750",
                "103364447976050004995239341798764183628",
                "130942119413717285962531285095816148165",
                "337459614952602239018289415588206416555",
                "266080056058716663602368773408601963254",
                "265955524075514134875180186456166296528",
                "162105062857138943303203805448191980648",
                "93655966058229814765773772012203169706",
                "246461379988294745944153209194250393567",
                "8548381472992618775210143908222582407",
                "144903969989798979995928549790042792664",
                "44911351588470386224238947906951308045",
                "154202291594627050893071405970787181372",
                "92124765342800169041286486831527777380",
                "265022531784431802499422559480991107913",
                "832344814957420998739665596227305691",
                "2534407976471290979354498066148832960",
                "275276622367650364127261944591279489680",
                "45328504416923229238576403774800935541",
                "250271840032846801730451938253804411096",
                "265982309838340213979478711647702316538",
                "214345735153835116604731840516806183271",
                "284829927110387388605530241271864078318",
                "45343517728871626691893465486123090998",
                "167754770446960584757302283098287697558",
                "280859803238964518255825647527259027005",
                "82990545117235765067797910576323564065",
                "12662405882185054679761885306815602326",
                "207022663421220188745852143131151164877",
                "202052333326683670284034347318599379044",
                "24931229985996520138952526341371485025",
                "80185771166731949303480794871917493899",
                "83461933946022424793315034891433697902",
                "325289877698152292162654063607700348689",
                "183721717635220913919197359173906841999",
                "196010447104845903147802394538669148645",
                "258820750243835751162853152879946508190",
                "280671617085891231635207712742015018870",
                "70390950093468952772033781825503714614",
                "249572245215718060927263726164998707604",
                "229360670648269496260376812518269252695",
                "4072056801592877860387462968781656326",
                "128074308353061803414831991432100999965",
                "227020789656095792631052071584944809958",
                "106837022371203875028973800415293918114",
                "24505735493446035176692096796231362775",
                "261256910757023104222271935704548569273",
                "232666606753173263179156147245461170420",
                "328346016982533191452724042119323032441",
                "136905466104619466775984653777387881243",
                "299292373630322972699457946287963541846",
                "146111234186315704241504469391944666117",
                "221239363128428070784815470030053940557",
                "57921837540696465062187100463809112619",
                "330364913734999576629339894221750902243",
                "39102313247287021674646037203269760",
                "84258358338303938212928927434941389394",
                "304308733468011332739903667188254417557",
                "64362918132358520497731661164537551276",
                "93569412306606209406862785984235031581",
                "187233481116523838498763272461010373382",
                "273401325935128789732745213101565650549",
                "117151239160684852703438183922927617227",
                "210048244257501985620642609231995011462",
                "314258867681272912992022872107823730745",
                "250163815855807371432385321653072914141",
                "176077291442520440974782205140503663874",
                "307075756371588358375990277735856986769",
                "72316432132082320325183777507806981104",
                "318256214532020255569132140886835629144",
                "295491735122370088331157750447247453752",
                "62366705317216501196948086985288919055",
                "320171003187375583822429103276772924672",
                "215042473468900133472594225597862158507",
                "37352808634660190240615907976101136220",
                "224464785197962430255506280781794194191",
                "192322425474238900347133697010741801337",
                "240009740335370389754074733113785958327",
                "140167498474660490279930733657451307650",
                "212491970604130187098151029120737320650",
                "10784130419866340517361253278767722877",
                "335616235908458196505408668992988248108",
                "303226588103946825285066750634714623881",
                "31360637699097108961321265094900471250",
                "299043414593705908672069473317029075080",
                "73918904670005483060563969035120139146",
                "324323938583946431079022244302874484317",
                "295692614177670074634363222038122254899",
                "52557882093649778893232129145286550401",
                "226272366273429631719758746774906829649",
                "326483342690306153170141777287501022178",
                "15450329153420443730975449534049163421",
                "152775602383824292997739163125999216167",
                "197351368773915537365545405472881148052",
                "193060854125357043512802748321386502699",
                "78744423387027420889534232834004746618",
                "333360635628813137912801840619203461166",
                "330242261123565311845464621324120789874",
                "92741523320698346019333098983985126582",
                "188467145594580672280329095143289122357",
                "3710700764778946232442747553586735116",
                "13329155588768756436480001616594498358",
                "334820444061998352828109233903868874955",
                "289871160442976883551443844124518930090",
                "161817819153839123628599491722948210816",
                "154987898781631702699397769783021203609",
                "260596531077926200666607524140250968325",
                "118178699422277509843634773518235611622",
                "253921479988745806715218641886240315084",
                "173428097715573880775990735118952846519",
                "272658278974567267981922750203970093181",
                "87770969530338242679555541832539560160",
                "196378382946160257074040925272183547495",
                "243098526104896137103038725899119613533",
                "222674480225827479142803130894966684314",
                "112629519628834988069553206118429666377",
                "327114280786507204973707958847012533833",
                "198048727006813139268944496266092772025",
                "51800334413409891150409670947774116079",
                "124321805197752178249851271871523104063",
                "2990493011661460772992885200416225181",
                "334598272243265811711888683301830703416",
                "215524035608139946644253589344736722505",
                "313690194115385880220300926356908305305",
                "217499360830837886855572550581387597045",
                "74559121642390646082414082031013429879",
                "195837338288418727436087127438436495517",
                "227957946131477889486621524472888063343",
                "306296434682950072804977770150281200615",
                "76331423605850707023613548229279224489",
                "172655224646211399493686106718828242099",
                "59379359770911220328544281432231651538",
                "157694393721546803130332850092150884237",
                "113909724888097114698742815849965897536",
                "264245625876906877714499260097221644742",
                "36002383241482931324784668184195746858",
                "27836943602555900866729843973240023879",
                "6465137007990713176102472613069047453",
                "115416379642578894657612103907548736145",
                "68535323452795777647834643782460147147",
                "25895415579486519196341180228927144684",
                "68275373748932732505182415474179178060",
                "231261106089288310075371861007619554254",
                "19276812543182956751260296964713323946",
                "25473934120833096930878559704809760607",
                "110553379759922978379721556124966631552",
                "303534205333238622704927883798062864512",
                "259593539380398833977674628857308164270",
                "226666363217134245885964233586881999147",
                "33550042407502735964770988636363072204",
                "220375697075014957697281006369872906112",
                "150615431894597606513311495328631634424",
                "175160954939912519827601683161127751889",
                "13301061343369246142473672963270934026",
                "281990076009473075356520020527106575285",
                "31277017408420789270990291500460026385",
                "92169599275416713852409086286581594729",
                "186830515199285542632890462890456186661",
                "335600628315508118229232604404601529021",
                "146445738452343253182955271955948697567",
                "221162430700291222948075747210321059819",
                "212383885373913542615546487653396507425",
                "227534198011393016308562211372400247563",
                "212833304831416071756008650380922487408",
                "238119495455034008974509012080857611535",
                "329326854482677823281492290352858637716",
                "95600875482300241317238652795776627083",
                "223530858211079698253403439515795702015",
                "93309170055588716182263789979703095630",
                "10546097248325244990026272100429724160",
                "303932824728142990638754681838695887744",
                "215433750357794981986943329961261897669",
                "158930425370201661473333401153752461980",
                "229417978949334642558980078979119195542",
                "202322880689787252463137410765967652420",
                "131662248517276139900715831432826685736",
                "43515389625447510292739044329156665226",
                "206147747602902815607663082014517091851",
                "220719478571563534658667766585023084003",
                "205299512651221876977831550846385435298",
                "130684312474613734776681044764585506819",
                "38113975126605269997622268366513205335",
                "202434135661747026373435280570092242014",
                "231141115064371036846685240979841799288",
                "271630188716779924142173317608124710378",
                "261993417827602786118516743252788058491",
                "220282539171554316331486606150593397183",
                "294036738236143956215313278874475945640",
                "290997806450363123644689955138721787894",
                "189415006021423639250298512152882804455",
                "187677796236399274907908461228982414828",
                "300004781559358683163198439325787259087",
                "334237237916333957776559316637585188585",
                "247758975973682635693946775843659286084",
                "158789046969396620263972864128372995852",
                "38774287438179817523423641777112791761",
                "157434447532087754200442308021314708905",
                "512204308365897255440723619490312122",
                "183705759322351865255345895120644077532",
                "162870427031371283465741683455435344400",
                "76961717352037126056094461034452980319",
                "53547773136075747092058556515760341096",
                "134224456747104813506255626163630880705",
                "218536757326521298429412307089308180451",
                "526982388640182559861490569919270230",
                "261383202169260788868428881126018914443",
                "196144631911831688454361315114337378564",
                "29698632296907466656878347387609202287",
                "47209006532385869205330290894966533919",
                "286824759043317329269242247931142612977",
                "258723309556237808685768015413874005662",
                "314332129266941573225589544793324687299",
                "184445543346885174139143205532258388510",
                "306612492115452439687722118393512403611",
                "191353686081841283573902217437095824677",
                "27557441502912782952009204987344493678",
                "165460373489643580504588093606713413742",
                "128062384618843757452331891359962194701",
                "123864430787713322427352913931123250747",
                "308509105864095409791439827261437305150",
                "119268259864793374125454449454649054946",
                "151789495327304363826298999987183595515",
                "38653017831969203057886638914042908110",
                "20484004956999941435051051303551784191",
                "208989288004339233445773739673739718222",
                "327878742870627208446587960455843531256",
                "259983608214252265737589103775971888452",
                "45122425050650549122815525533753282376",
                "247179360150819655850245793133664764147",
                "246979690979428488750089169352029516894",
                "208992336420898538090333890196719284999",
                "133587172121634365878976030290090278180",
                "97877934491344697723482397228319376072",
                "264971669067726821950321847010056764087",
                "239880910740299726392782630852772789620",
                "53029342462317554004753462878024868079",
                "151503178199792558079206927313338251230",
                "273481152272110954155814966653017338982",
                "234734883145280352030711462032960174342",
                "66740032373269861908814194918141977336",
                "210356071502616325341353833954784166339",
                "183410864150698366005375373921814232588",
                "209021325436182389980847490720149098869",
                "14289147144009755394822268132991692015",
                "117902480525742441038238861282529642024",
                "202614901621502673225306249122827408251",
                "338876865581579967598015763187569731910",
                "52723376094507318046283722268592398279",
                "117115971390373620731026447239088570650",
                "91306840387225403679642436127025926776",
                "145288570854500636409235738481120148572",
                "300676318292742231255631091597584963216",
                "300785112103427290406288836532308205502",
                "114724293139842136447996249828597381528",
                "137459943425100036340220917983877170905",
                "48009726047704290448589261350144827823",
                "312572564296705652337148912538318215632",
                "242564452968127960161159200566782932552",
                "218568403825364708715543513104451014085",
                "78672626311048935765740074809509730754",
                "18721432756660004839457835019721317529",
                "55551205152307719883973724279121422500",
                "270003556850533785617779525354743261182",
                "299306874526480102789235216954957444362",
                "295387766889933122850275524460795019695",
                "261532509382521812788787827468230427849",
                "240629524495874133748576087713866689878",
                "53230844025648127871673729649809994703",
                "129210895918355864166387390654611759336",
                "149183401130947092912851372403204847677",
                "229476470827543891094260843039091589770",
                "317439758581949548133956925410244011368",
                "337553540405920795541714535504873403957",
                "189195860444683395688019174707225778659",
                "240700661751490665655979080926635079391",
                "205737708160426191082186371929625681605",
                "325449897135140119399859708153537785398",
                "245402566407028978282514131406412826416",
                "159769454775973953132020869112699362804",
                "176656075335415298184770858490564171574",
                "107532724672858748459950382175218774443",
                "165252130352423093074961895227588868668",
                "170873296960961644380677754809691950398",
                "323078532061280117889822885868504475828",
                "129014632510583986457885114353227577995",
                "317865217518940466146657144223227532414",
                "156788828705356336862499730704907610675",
                "330280493833283068535858754813416890467",
                "19352080347556297457303368197371234435",
                "71756224052051728623000981402300237",
                "72253367225048450941569089294227712493",
                "245313672095082052216327628847981303592",
                "314669087802337926408253288355914007313",
                "209005262379159920048750376417185139186",
                "299860963316525273625885000267509448436",
                "189478679022762652333924237627312031467",
                "202078746029111974300884026875952021497",
                "128254933024302351065213991627458075394",
                "268756760874755644134305603021538988414",
                "203175935145457353755674858253120580827",
                "66354370911681577799762665699225163589",
                "143921441341187367506869761397696636334",
                "158426846394471118854622783811086312100",
                "181286600684076352033541254941642831095",
                "218482860928596570604348372516010842188",
                "258758104383211193615599198701939028841",
                "179948145869843139399542155858446084142",
                "35145599935484285777179630321035404843",
                "272088769583383587135932689493123420012",
                "73477024836637402499131924893130617534",
                "321767652711990363539109724918397597614",
                "331531106665027507299310343004529935661",
                "132593960489841864613176019459797133403",
                "144561829045315116151285758124603390985",
                "86980916399682746041640756523335399563",
                "135992321838895959976784812403572454046",
                "84471954602410238779221079731360957338",
                "44864684322611155780162243834976383528",
                "209051479831602191826706155649716227581",
                "210028873530624111582433464055736843431",
                "58770366794205548980816361603024193784",
                "274206225345877245851187300125417738449",
                "200198163115898733324715332151805591170",
                "222138096452793975565569711299653547282",
                "103779550111228067520144150898781698393",
                "8302136083205290482826775547298935632",
                "265002687825592462098812967740565915828",
                "151267707893464609331407579793573802683",
                "232046571089847458939983685974409337324",
                "27112590086874568298054063667918286728",
                "269475506197591385429966811179568055456",
                "262247477310077883583375265066448310761",
                "115380900067224485907238377400061305971",
                "161116529922639544649670413792766147293",
                "135685491929600440972806939456659802332",
                "301335678292493016576257196541989133569",
                "306515828890500966060943274996584503003",
                "134111196302348704920042808912046461920",
                "131420167238137330292232009679646633599",
                "207654366421585201864574751914534838",
                "140226337337461063305110794568185284471",
                "119086914720893476178178987259707898943",
                "69997986553068150262413241577416607473",
                "162581323693719112703492011729944426478",
                "238574034890318301698695003887487323338",
                "203559065618347937619878301965808240774",
                "338096608529156946408646611436127060465",
                "77624013965859691496183820984004219900",
                "203825729339254639057654758768068324012",
                "328832062338881490059042639888619402135",
                "179751272663278463764403879478579863144",
                "23621721051905653546588587786104582281",
                "191300898671304338147728350837152637862",
                "338727168196423050268930258561676861698",
                "57346571814518148688500864262912593208",
                "55652062488000619368075625881611421261",
                "157129023461821144442306603794881364115",
                "253557119711443860627764169828749249498",
                "161062395666391164880811543248719544446",
                "236938272466357616021491719797173258023",
                "205341004674312630404573312510027422387",
                "77976780776978445600687704549235824729",
                "40638022544316577904492205650540551747",
                "163496875003415394388765478093448493030",
                "292241515220607125688701000552703932993",
                "124193250779424216764449139781394698980",
                "304603406568905254836973357500911853905",
                "62379517098472059417906352961908305835",
                "210409173314915168880593048056385331021",
                "258730442568809394101749986273963778453",
                "128163212998458051583150992216457337252",
                "314890324801663116343451051766222744036",
                "122070781585475326334263950817750570607",
                "141090295386026567889759334111294822058",
                "3365342120856215068782434747975624912",
                "204014701657967188983537498479339896669",
                "143672618720739530977762406486512589735",
                "327661781117832129992730862426475655543",
                "54642899039308245730288743430924059411",
                "103471721080779279647346865517091058740",
                "209765646419578701581573371886783992406",
                "175309101398050722465542671379858292129",
                "95245919936267656058452254709684464959",
                "246396771677882982994318990535555877560",
                "262050465755688612617691400725138589244",
                "256135217337607821756410428066480979158",
                "256692588299510207069966393070113078020",
                "197571676805004098999761826767170583438",
                "206411153946387596605268196316112020936",
                "307972622863070390175292880078859617730",
                "93762509043108144467760077126258224310",
                "321747459033863334376673479237915422124",
                "281786047522778418241600285288726496052",
                "35763504897584914616157979657326117813",
                "41386009062391258647112637391894733936",
                "301101086377238687507909644064155309334",
                "116743089363386339269146607425005483445",
                "24346109634557765891447062175973392176",
                "116664132819214071618866312585236247",
                "188204726760363496873129922804616826160",
                "334976038807614178756614240901210606044",
                "271473045246658789988531374524621774145",
                "175601617514802062579708795063745607715",
                "53742395071068591322198036673175577327",
                "254402494896423615174031138703259378745",
                "106519647555373941397476979029223802790",
                "55421309182587485089186393222498834984",
                "47055950731049111757656436135402724731",
                "198358939716650664122633306545875992461",
                "17410224420539089576080692841711277360",
                "257130465414537223936112812654969520819",
                "20028632211194046218231673511301599559",
                "97833259503569535518988622042273309519",
                "301760202723767728633991063554441416676",
                "325556302028410134139051177893628190091",
                "248392292976673053428940189591211485781",
                "99018044391344744465434881047814761863",
                "222325241497809616482799060882901057542",
                "167382770021443272607702418884406237734",
                "242278002190991223278673676035873402114",
                "216123503466574936016592849606726962390",
                "214452426571234044299605762181866659235",
                "31286236217892659904239301271047943880",
                "207654686839025633764635232189243499702",
                "202473478746344836313586992291770593534",
                "98536777046000222145900637227533694396",
                "88558660866973752480447475048347004457",
                "80650633618968338713283845480224375267",
                "171194706458689300871908891960088784219",
                "154446265493001690223446591594030049868",
                "129169154431371249633401065852042871635",
                "276790608718558376948759075480268085704",
                "224543430072023784803005094277634394790",
                "232563901487653464445205065799414487235",
                "146962301821323387619463064244772073435",
                "213276582395426411900090298161154044026",
                "95092420627307758977832644088071419828",
                "118998366760427089073952863765032647733",
                "39240033286704689935604931565347623060",
                "224383930454403725817423934913852537933",
                "278049771124507737648422442308915288449",
                "130951426814071702335278559189538929033",
                "231072619571736777961639327237304379017",
                "299356133638419717495697419145943292217",
                "129572088741629598840028297047566361565",
                "296378206105852763495168682992990279094",
                "17702903825554430045694590712685959818",
                "226640463906523424747913231701007770726",
                "139253212408577061273663302428967179104",
                "218067402043310630108984453498460354819",
                "160268759005299559672700471533641219720",
                "48371861758125331285961936630908290146",
                "159404773839146502264618741912876321142",
                "142475664425528280238702327739896307634",
                "146986272978968781169888654296806680116",
                "62884914077695463859378483079491469504",
                "175970094988339793103180377104905241816",
                "220408918149975696481265912787099900581",
                "196622121172937825215861366530659197598",
                "38651281732135693418433571740551953286",
                "212590827001687242793861519173602311177",
                "238461268095800033369227647795220602212",
                "152705454238168957114992427704219867927",
                "109339072689078439402451230793070522609",
                "291455173468272636766492890042871625016",
                "44435236273313287609203622103317732375",
                "328150467094347428586344206839298204295",
                "65340770688821400544266300088492461890",
                "334539379550259140408590272009994668462",
                "55519896808480336997683038000075089115",
                "197152568970636884058159327963236035238",
                "1505458311467408009877929840703302323",
                "300888945447114434471014625105129020996",
                "125624008830794538323208241756348436987",
                "207328577640976323751075710859675346150",
                "282171847494958267629285851312138533634",
                "220073481725714939275295894357694798731",
                "53376199647549670354311611726832801784",
                "92320301432197330640100531383069950117",
                "162396274107861241559328272542421637429",
                "178257001422618594667087295334761858063",
                "329142569013215984400557925964738923386",
                "185109093603833780686921604089547918399",
                "281619567735513665060362579778315818019",
                "66519815048170590155556953057170788793",
                "94771580541706620927531908491179760497",
                "6382986181562225858997909900536786748",
                "23609055401832652829360515756511674594",
                "185375273670042536001047467949976440266",
                "323348228711938911470961006041519261402",
                "131648596531642042289219131013473344795",
                "122067973382128005710751795536679740835",
                "335647271351657074791560564910832098183",
                "143400797972867841024985616157464454618",
                "10455084314127236970385396467396336838",
                "272631444500268887468046604386654188028",
                "335867099618180068901531053087807055629",
                "237449190801467946738238891172467457417",
                "199974885141226040540942948560177326393",
                "160663942192908974369054052631337025644",
                "111308813184450940391247743478396209329",
                "304214850861865737689500510487265611546",
                "295606525138995615175175007427303329345",
                "63603181020233979674542061522025738424",
                "116214475020340656111127738162105409922",
                "34029860530943028428922516485758879007",
                "96165938828747857482968078344543132711",
                "139246991922105823559252356267036119204",
                "226142849575038892460251784178222302175",
                "55650461376715471569871466164198321108",
                "41771374464859661339518818512379523233",
                "248520851490654600930355239476240058250",
                "179223894313692860097408534129258244190",
                "197866482869178208278196875868503987663",
                "191611166655192562982062811358664011808",
                "179805174007891574838762970863535503566",
                "26198383293035896897924536883970340520",
                "111950039735771883526519649441620917989",
                "136696363226882134733889506875484673264",
                "136656936970106136526614158467102435075",
                "260724005520018169236174805759980967921",
                "139836986685732539864183864172872208478",
                "21459553078793420609493956791409734839",
                "35934335019475861746385182009645167752",
                "110396117375851249189966446816810503709",
                "289471661542191247532962885582706352246",
                "76466500899903314598237918385513178266",
                "48811345471756757066289970173326018505",
                "300270156368259267483722443724116477796",
                "175350168789479638045548529021926783631",
                "314251785726018340441741903135492584051",
                "187221048427467316853409515095209091238",
                "313089930841169372084065067157383765418",
                "12230179943372398747651512491644574779",
                "270524333004260313107472380588627822063",
                "314119019615727751773526039718690339812",
                "330625888683647961352778492497518087867",
                "110125133257529188981645365455836745907",
                "89575280470941105058228926029487271413",
                "281882189332273029326923537948463637020",
                "197134042602903191635269399755367034689",
                "144094894237317028051087148065239799733",
                "92609668577551657775580504311589261092",
                "111004180654721076349016656909513929977",
                "206317711670697802755240403085795596175",
                "266530667835970910505738670839438134712",
                "2671356208719807820579936712392430015",
                "296414873629584341467247912833803268541",
                "33710676463082741343198601535273739038",
                "184472631201776856814297940969135611830",
                "45787561027953250585753703284636963979",
                "134445252523709256492987005092560216309",
                "214094002405489698397330336501049200475",
                "7379497026959348418359562414443562604",
                "63908384926317563141683250252729261625",
                "335255512271274981560167291192353384781",
                "184895600069318656848258723420347216294",
                "300609366034732736117148449456049342572",
                "119098552235162573234217606599371626745",
                "97817341783390818098848695933801536739",
                "168146334419087366099057120070316054847",
                "228485468153019822301677289530756092048",
                "255570064863603624146710027332307313828",
                "235881144471695118884575630941653511594",
                "237665903708777976441800364594238660287",
                "121361990466637450024709391070722920424",
                "147111374005683398085479458428165311429",
                "61319440937583922986235745050464840135",
                "314948581261749443913192925495326905524",
                "309789864241892030997820647009991002935",
                "315932531325251362889027946731614809459",
                "99089637599554430463816859763335618857",
                "101906905330994609731960339598413070632",
                "277266998507456761674622784429969806153",
                "134219302027955042535860571918720292712",
                "316825651384522181395710892947637177430",
                "209868498411748192121107631728432025879",
                "142363773826039380375093874132031840834",
                "316890853554457779554540328120770648737",
                "232808859797037974327887696565493675197",
                "34922705658289932647886110635509358388",
                "292437531149536467314512873791816360131",
                "184504174546335104264445476931403302959",
                "172853531358535621390206427899352534636",
                "300173733063817813980052755425969754842",
                "67116578364662548231043085550944134343",
                "280432236239379887216855789294126021381",
                "287023516501765388834679624446181864429",
                "178939186547342020010785820656995106765",
                "43626700757817011042342669958069741513",
                "151442496001760669933489140171999769943",
                "161389967835110551949767842375204043698",
                "142293137444173591703869782245725400992",
                "245421456217846681781546713742844238049",
                "304320510486734739615547980003129401865",
                "300339766836119787728500139808970652307",
                "22140347567942301215396672266482829481",
                "103285428833810801441428174731176309429",
                "11183276436863196443793355187767182027",
                "182654165303028242729109992043282647610",
                "28851332316924095503618272420058437659",
                "214428079872912312222538073660782547138",
                "321783713218084728257799753446004205232",
                "323086002767571008230889102573574458754",
                "127524528757001127164493767847906250670",
                "138888412580201094915816184793707474304",
                "314956387046218962460983595568892918170",
                "97355266100404306965618587434390260858",
                "223379560384879612223644312440314918449",
                "213347726288620598659166789290924223684",
                "251918029849790454000311885999405096037",
                "310282108605623124794915391636252565215",
                "127204508086924940669263626291648716840",
                "176690075643603498318795759165190758744",
                "21460058529317535272206173820202770701",
                "283153354675133162039884510434443537038",
                "268171677064404198870749739688067299663",
                "260903898303845566405102986085831452710",
                "172067491753877511993221560981921330639",
                "30194880738211970726567120475120880154",
                "332425372505939435967043357287861224434",
                "203926771237881228246452547013507622373",
                "203879762109156731962223454927220658992",
                "95528776826213087434200210929447789255",
                "271949092664665834999027305303048505620",
                "68886877956424599727345531084623597069",
                "49625889097986804830281410495210625427",
                "30144677433155897864147251721356389072",
                "17795036837158941217238972233577451911",
                "180887806278669966958325672489733871735",
                "337605624733685446377333808902208291656",
                "348894591975074250806482654643059938",
                "233834318002138266338930943636963597366",
                "36173825568907903990385280182364754023",
                "290064298856429580230415170085206364701",
                "60935864590595756320920779468310219886",
                "250816763892898376283969738482186944326",
                "243922068541199134031025779616823200021",
                "29021982890224200954049986895807398994",
                "150269242027376489154366417398933093210",
                "81152808614616433116727391978618648149",
                "240053160401413405977324896266281730915",
                "338248183284540441764028167063508288341",
                "164046285110145169609002877259012231580",
                "179097952332724209594019311237431485806",
                "142447658092516964362535585729224721008",
                "83159283122271682090617183994845084953",
                "237181298145617746935717937960669057690",
                "70058609119322404312992539775176588079",
                "187387797908367366624161118505365717735",
                "298081353046856655840892358549975429588",
                "51530255501560373452781334754709020704",
                "172746052204221147314046118876653414511",
                "188373741438574946789599060775880881973",
                "36776759750505768402175117047958814117",
                "303081295214067873093084831883157578016",
                "110817593010503446232765493044012137619",
                "327621944104432441933392360015596878047",
                "60388357091247727291917083204399429365",
                "66458403346769727474832076224955230666",
                "321205796930975652983860559677442108447",
                "168125320796600821308028473534937326514",
                "256114453589228416437813237725014211481",
                "143634684809040294645609402496357595250",
                "110164349091254032665358372865878240088",
                "269346554423057097052541493028079041819",
                "302240033059705246823587582004679009885",
                "80592245015356766835301280474767780417",
                "218172905540274602641655868111239126658",
                "254865298586370850331229260549258581411",
                "280842081964778116492399012638275641797",
                "83359460971056564315277570738384493684",
                "187462320390160067002848784558701060784",
                "228549800899645847660928171083127569660",
                "274251315998718891057272783977721710617",
                "72435746440197131514415198415149594700",
                "17375782891406022312026376472399289145",
                "297288065053351058569080168398213713040",
                "150798824937894613879094036802776610413",
                "193600418853378007731968957676932677406",
                "16130597878494205413707615677690734168",
                "78637798635688710367367385723454451188",
                "50568648297425049167895182357468330210",
                "155813019451399995552433452794639312803",
                "294196952784475649150292796310845400624",
                "145251504446179776132958993091303908031",
                "57522707056855958696626067430467535999",
                "204092941766845815980399054193150797066",
                "131260846339294804244880981616551209475",
                "232171341866056218515533545868123961122",
                "290815469730020349665088856512155514282",
                "313112442285755060999500387605317540664",
                "15813527792136065277755310575782333526",
                "31995411142547675763995462088389203878",
                "221226011147432071996780373962372171593",
                "241716898156376368324728546388838019293",
                "119952541654169636950453571936184465428",
                "324189240037687518686077153786577003757",
                "6409544937276349831613532791254873869",
                "92838465127430391526986017867022309831",
                "147320593206792476575931380698518138424",
                "337158193761270111571647303405972424549",
                "142813466809704183584032456924579158052",
                "252275662493196397350712146220094978991",
                "10625239000194147480747789332313026751",
                "161636309152676468960518157982882267805",
                "309673364754931531844823309346782553524",
                "148554526509705987528426918454836871856",
                "133580372980790210830605362242571435870",
                "310510859762992792859661481803957608478",
                "147157119557679386298408894072114301554",
                "151519643514341109935830737952820718154",
                "137512673155149966712020308384276125620",
                "149796226700572897217604064799355492555",
                "219175155014954903796117397977182991144",
                "244663838909475043780766436862110418903",
                "13219523580678655629048077376371533256",
                "229264329368444570968630193716940196768",
                "153459442919198249977015685925779435596",
                "600283389723645640011111882562575275",
                "313345736838250534479353188429503301684",
                "2342142426344559334872787811164697289",
                "221885464158631616634067566466301894215",
                "227488431585190403128682535989230410614",
                "177703234838450771117008208689328405551",
                "94869478542761591740673226229061676001",
                "339829415382162940435090528110964658152",
                "267758695534101102177864954421423852782",
                "91980399849349897199044469030761813974",
                "268838717515691684200435985683084803115",
                "87706058076684987539769637866994955969",
                "252056428624447629735386572103964869385",
                "73858225306816063955536021517767761762",
                "194742429293136401995595752347479569356",
                "78979745128679733501534775960671449536",
                "206572015701026250603894692415636217447",
                "238122715424443502896464627075466204758",
                "180978997436654127613289135132503166247",
                "145612984633591667611347951892145676356",
                "58816159786457712545994298808206910649",
                "301960784087432962373704434820223631558",
                "67980638785294018973642426058482744519",
                "74383629715431500119675354129790090556",
                "64969295146247897587563252912772087628",
                "317710607667738328835304049728096390272",
                "331365352896659410320523370818096938604",
                "50154827852271708548023672918081881897",
                "128617137586059771515628350452671713477",
                "173817656692011267910108829190174555379",
                "296612375581081265255775331115214446098",
                "105476931393827154103151385302903448951",
                "98081964777259700404159509679913073684",
                "53792622662231593028641962948044675799",
                "29565615317708834304773288057356640162",
                "144299729813081335893078511638430069750",
                "124306902203893750254550782928207451932",
                "154844716844407794104593774978849491178",
                "160812181961375139564926793826390409483",
                "292177711001249902846633847706836037837",
                "33300856043691673703876874742678863023",
                "128288128722221562503036932369698583451",
                "131065004474950890598865907784994078271",
                "157323074170731841462617921538315559961",
                "221328387966281629158015852691542711316",
                "162174623930860663327655125856113021801",
                "55111303823968504990345926193525225387",
                "312539693619580383145114445720790560802",
                "148950144051830915443715865269744660662",
                "80029461315695770001054457941809280925",
                "268543068036915892293789191459653902501",
                "102803072443910991957583388449393720419",
                "219473400225267510989277514073577496760",
                "27783782282219209900568987331762746819",
                "283278774175713805304597626959944229367",
                "177846493852991782236691115567348500651",
                "239929356840754575776866073836750925113",
                "338471513326018587450571966211885147844",
                "195648825730659148045146066626085989866",
                "21998626460078032727711789907855783735",
                "9485902722270632103567729731540537571",
                "84520538278107906593841011888518937234",
                "91884356023634160083778541801828565702",
                "84121112797140345054269388356264040666",
                "144991952054583915164848216284687869133",
                "86322227349163366535314503443503671803",
                "237961160194505201520025948814714155570",
                "158125790711589636766043797732351438099",
                "31267972684040867892052486059098225707",
                "2418850981802235930817943492621956154",
                "215525695172569316572471515668004461507",
                "123503017088853815071578005827480944945",
                "71484504516317967169262129552171607634",
                "276417189301977638983676431833698206554",
                "210709711665244074426127255107603976290",
                "270714003412353817348284281011080869198",
                "133615325121422168703353162580690409912",
                "74468368143502325697623906132885224303",
                "63270614262078841653845229608375830113",
                "279590275362846728572910619316987129735",
                "165667987222228467357233979119439741274",
                "123099106526137115962668940183297084568",
                "184785214351764476955562665587715275041",
                "173888950140017352183536853198834023432",
                "36279799720121682608352130830549838406",
                "32713120733423622904861118439692649007",
                "220069240277486536942798358481118370323",
                "269275307652999216571128598934717693516",
                "164387370788441264415852359952130969136",
                "161054890856352967628354618936496874568",
                "208781650928366982398906278591781889431",
                "61034294632283690451562548280499572600",
                "40554542836134079183129345764400300742",
                "240021517985505744435777601986810832647",
                "37571562659311148939451637743611565937",
                "43730152687553015625341829130195814551",
                "329072052684544366636212027844318339171",
                "176109811746591527479677457029236524756",
                "93950217230345215823068518247373884387",
                "183421621452679504036501356501231418429",
                "331891178359526588727237676008861340384",
                "273662036229965066922340296499892993757",
                "126571955394589344503044748435036521096",
                "225385418968498707232927495125724884617",
                "223308527268087829206502886663156550842",
                "81681155981531817420239403630618670422",
                "114357888024868720058127077588244423481",
                "336938265900259528292586608630958446034",
                "282924050420497297853712305223881161228",
                "92470897395862416951626265779262830383",
                "296399717651222280346064711990149056030",
                "280470973826186275028172871109807594254",
                "133098913099154005176647849950895084534",
                "110630390986824851785696572396543079591",
                "89942266210192175510118884921252984128",
                "288461814861469726910076442271817980595",
                "326414730554504317949049172604482870244",
                "146276807931864199041312533220244141298",
                "36949848213648768031707753829141000631",
                "337831663075829024422364150043105811895",
                "34983246965158105087437319864550620949",
                "32060721839841493852509247927063412619",
                "108504804546380278188348492333903309053",
                "277193614296018864734162148525955180215",
                "262757824116961379423831797008883744683",
                "94842893644282443852846667102974432584",
                "331271760153880504403081826000071971157",
                "144422727972671295273622210236760419370",
                "254355977560227923097760710729297774677",
                "57409030429585366778593127656367827659",
                "248175289612131996299277065178014341946",
                "298473151343027112450744635228078972131",
                "113530316333617642098122721522554597557",
                "228356267829370891983426018109886774490",
                "323723086463749395916001919745930535059",
                "164999105594781164563065336567420248868",
                "9212698473200109325568984831182614822",
                "241783379711681198820834610120105042103",
                "304370941273352898952926109706203642705",
                "102576668980849984819467985985066777178",
                "156407460612987113572767163204589588442",
                "76365281482259799488398227167509597659",
                "311189034162100873460300338765138428171",
                "292504382165712792175314293313798485036",
                "308769311880659989978404976037161375527",
                "172025961148261146861236218186553533552",
                "288584251090482119935068982480595938063",
                "75034873204182481792922944807617576016",
                "92094582189456551324876065430741809699",
                "323070233813501913365737501624542309949",
                "280669609232400446946681943910174138471",
                "274761240004662304519411618739738656799",
                "197814729490312873827951945911756295868",
                "245261747716128447327472281674954569989",
                "222828078392140076784586493210521532042",
                "223369396031824151203884775586691964994",
                "216443492516350206396030983813507217038",
                "124524815068996162198191639529709599845",
                "140098105854934325729631227476888748324",
                "268499382571798184361269843292866395839",
                "41814894460848739545844674113675194579",
                "290234880675216643498510627363731120900",
                "223828913890871575766455591039464900928",
                "182934264383047962981162762590369972266",
                "297859346833400920766385048395777135536",
                "25396758219669917986371410807626208008",
                "203733875060959164609600775827663773170",
                "234853592926006544122585229389870323534",
                "308830932315222377849748928609463403251",
                "315300260843574641056210995643616365311",
                "250448821601490681219770140836270155210",
                "204009119457172741531354516447084303024",
                "262783450743919530772433068560299574869",
                "60775527198774095260062725549817006179",
                "132515930346660544744986894457333463962",
                "297585186574896319098302504002948879852",
                "104847745443446955088165418510917469024",
                "146812530966270204108948978214736654076",
                "77563984996743041818253525642485044797",
                "265620071391209707538754350298569738352",
                "88475401799191265427428843910326759619",
                "85099869100571533352900953417255489489",
                "151489739952281531162915835731307671038",
                "14316000364623449079232860140758545527",
                "225748702366262202213472696420903367453",
                "280773211570905795476039923622326357458",
                "112626394246062529590600274556561537790",
                "318334852272138757501254856691721944146",
                "250014500756448408252337363336648946080",
                "94024398537388083833180611504804236515",
                "275384134797935746024397186597942596761",
                "73346268176006016984697084152524550118",
                "315131214741151248768136396665385963548",
                "121526821799430064684514635311794977556",
                "28076686787784070550028054282671849111",
                "330479339285289119853479460866998009031",
                "205292491319342400563099194058102005898",
                "258524600272607712427411517110202535886",
                "80215014068728863458050317401637660957",
                "128168385288144070884213867772013918255",
                "173981283195433809518377323193348435463",
                "313579399066009006509396954381738604184",
                "63844030377936364903189372954168670287",
                "63272706892271236145560101793507490369",
                "150951998160589045324206970875848603193",
                "129517429296888081765379782204453279651",
                "146983798522119705692658942667332529107",
                "214582587724449555714870222800979411753",
                "70533362374567724311374221934304430445",
                "268679557186483954838574071201070952199",
                "262663065664506254351804253755887544528",
                "59662066848120458342187153299798969213",
                "203407676536748719461879977846326702665",
                "151045952465209567685023152790891721781",
                "117789465355486739454378375380937374890",
                "178200001755827053975743828293140420527",
                "102631438057187325512515392190089770605",
                "226136651917509595121253098842030220207",
                "36418696185148149945845888136054566878",
                "311905022041344629494310785883957860046",
                "42945350775125497104670222682083569508",
                "215795888859454929454765281789187831100",
                "200755513426601035937634947486037789643",
                "93014091820481902374104913785400898104",
                "105672398294267201830310393670237709954",
                "17553782102757149445332372590866358744",
                "322740206682199849501754258258175156752",
                "272550261443881914494504392293923008614",
                "61475167757683426117029659068317066347",
                "203074370141412059418543869535853243909",
                "315210917552733547421645790116811520815",
                "143367351490134561001906029493504925327",
                "199621580140270321710996139115659803397",
                "114597731100742571222476436608333508208",
                "142182299578766340588724000334442451424",
                "69090799359579713789293923777354380849",
                "266986337627331607797488483010933950673",
                "274277969294342531596866274958737916094",
                "269075982798542972528950943608335089424",
                "301029020213178721712694079689922027643",
                "39132020652112977677324759579189085827",
                "226416585578188309595776365708451832722",
                "175075658158848079286681491272301903370",
                "95002258590865037357442908569652203551",
                "197347849027525755355204589664163315080",
                "334645730362490554114630466859866143950",
                "12441830310117657911776453746019516412",
                "67436471572166196056205617689852484507",
                "30153262053105515678032528985192982705",
                "198418282547095060404245895602976084219",
                "263620174255062998841693511493888242702",
                "307855685169923013681565829057063914980",
                "115303259790723926183168227298276132156",
                "275269663016071935005393476522037123512",
                "46744987971180856055464658833104617174",
                "108041500414415857250619835717590428526",
                "252474709945797919841078021288049064729",
                "238499241395780527796437563867288987037",
                "322788216419906085408114112587549916670",
                "165620387768124396879077553366896861345",
                "251738377585913459865950592754534155909",
                "18759335578317258393625634886235164833",
                "275072335647284532486161365907315640715",
                "287763861304728547714433029919642054939",
                "155814983378938742300083528565856628696",
                "94707558131746877975957300891370422350",
                "43273814581395278831048392646299739715",
                "300541651841334032368258211336760135147",
                "157188914407320103277009744336669965203",
                "43909647997088299364715493877372719456",
                "35679685357944107545928963727323525450",
                "86505353523798163150292308790670479408",
                "244003935053803432603810295816774561141",
                "279858608631548484423391587692942734452",
                "90129707902553877244659391511957593459",
                "15620602389590319336899276748845528372",
                "178408243026023968193190438599193821525",
                "62863762859447182797659212690744407447",
                "77109082047414848796082155027332811776",
                "199287409949136544614833050012137221328",
                "115711976249852580415360256647399977101",
                "202341764783259849649694015288974857670",
                "106957266271894861758884036006666848327",
                "98452493946377270597938900257831752311",
                "223221147108805672913646545239019420086",
                "26548127671290171765007110638712191467",
                "103124651656281679002504391465485321013",
                "20697535918987500644929043896410392608",
                "335137329651455540589021043369424649454",
                "244125737922122490355841163184448575599",
                "167089151975497540770376507289337817690",
                "204425833264362101985133436814861328987",
                "250622842643872953104313016975416195947",
                "164794279744314315795573975098099538716",
                "289622796302187280127315877956273514664",
                "259761132364658638224224677938438238958",
                "311287745322555728852693574604923380418",
                "206249835169657467116378261872971535583",
                "17003538529204495112948592065491940589",
                "34825249846638965940652673781905211690",
                "74885380476958280791385497876412883547",
                "178599438528135035734656456914246041448",
                "304236415400641955675104376350691754110",
                "27100906147779700631927825536895947282",
                "327600696217323704170450216018165378858",
                "190898484458856709368020482682860311358",
                "241030283540508754731466687599082770558",
                "227539093612234496002469090657796097967",
                "120441918157850600438493822816514461268",
                "282864845445577527706601403371635751899",
                "67868881194068557875772340249714195926",
                "324009485641146439985853260081908225141",
                "174935646488790032345265651055832764842",
                "164087096439595331321384129949589587049",
                "313264413818561119938240874921236661497",
                "216662480655556336935952850185483741041",
                "213485661576852059867954558875276352247",
                "216183870723631840533194964918268105957",
                "246779244732948922426332754119730127974",
                "57517338791555349196368814255674024626",
                "13667496710143719608033655296599854470",
                "276681009391347610512448481467309667929",
                "76575958074351277898864858632203632391",
                "337580099762096495612970122704550299402",
                "45153964549661930383622978064287772957",
                "113795032898030690293155301474258297689",
                "152750489498218589255122458704127164267",
                "97729775439851744797959556281295312390",
                "308771765937721342393983564041246990119",
                "205196671424578764081420605029202236591",
                "105706553600064033359213668367758762237",
                "181570473219269285164020716068713576126",
                "262806990006416523500572520127489846864",
                "320820109088239560104400317274805589962",
                "271915732297832250294931643969201787144",
                "242881956574982875447485818051818438630",
                "283789447761754433523266503729200775652",
                "22860605764059503572273070971000496616",
                "64921380252155323216544285782648483026",
                "60638892331734164383170503977011094798",
                "303186344428523176992545516749500786489",
                "135057906467176964574906959060759574979",
                "235900141997966430041712736460460795716",
                "81000499117064698876975782309636185441",
                "322498350057419885898095451041293456383",
                "150546028660542393235254285853384968710",
                "17667973896360346777437946899469106370",
                "81322424123586475080397784804587547284",
                "142382512630054187921489996320846892181",
                "316884470061005209399018880795888208714",
                "172611575300044804054403387654180984167",
                "235416937319603830537399188571645222441",
                "136564648060622361621002985841300882028",
                "313942473218328921020153704501446458944",
                "36627917189524947405437430316818848859",
                "231584851197030081873654100621803857089",
                "144280975638634021406565050611538839760",
                "229353517678756373540608311856565496515",
                "274041518638666506972009768901607683814",
                "79889827848754975248769115220990265613",
                "110764647910593886608281059155113424460",
                "311805302562635617976799546394294080147",
                "57039604118427487753764319631014323675",
                "79981815668676943131248548043193731884",
                "206700845486425495681723608875772592454",
                "176421767496592487430826069259034649257",
                "284282261611074668381135730022459047671",
                "82980896668117958297459012464392184994",
                "102306518869454428021024881593338725234",
                "99701068595994809875042985692954009275",
                "165521531247685714644343788942736983965",
                "12336123996521766211457019309370102446",
                "43395780446268075266802863332249440649",
                "187259908027763465552701547856671140614",
                "9923031832715902694892827021036501811",
                "131050408170862646793105459967113829828",
                "5977345337773048030666732210723177297",
                "94989644879607735083092529113103200976",
                "226190137769650586355041062378704353130",
                "19459808561876910311979753066848189959",
                "159020423017838385665599572970457808199",
                "155148102036681315203964238465659605754",
                "229659239635653433371953825170751025933",
                "223619033068829436965283282275825518755",
                "245910435211029075920139791577293240916",
                "308859865585049155835512002582920001306",
                "247903663535939987370239162190642586763",
                "50484584440969958133222227129127915676",
                "304888641178211124766070990908786917166",
                "169981739315224869766016290900419697079",
                "254375150034428484925314546696193695100",
                "193483373852372316809338462945146533466",
                "117266847351419287095678852854261585333",
                "61873060934571778893676206295477075227",
                "135134887561755938213240679473309814660",
                "266427897297203627470168356973715920975",
                "272962359029391021662086103472456455278",
                "43589791468090666933775135756110182237",
                "319848665400998375521769489287411922576",
                "183935530622891217084273718834974806290",
                "241932352257354638640222953000248555520",
                "312955002912580519726207406897586475916",
                "207012027032098456892105469787581340765",
                "285336527813033250740122238519026940741",
                "305342709939481056805413907314377210270",
                "82054122639164683183788420476567743284",
                "188570465011086639595731832486788577106",
                "52755844199741953082818768927628729162",
                "214467829005399703934530315989762047731",
                "29483298663926449110910793838795869083",
                "141752400052957547098146172709408684374",
                "211116629648132768171541048349872125447",
                "115419078359462079194122215573439941213",
                "148469339765854464822819958677798013724",
                "165823488311915657193890333050586024028",
                "148921544419579189866126021311205790205",
                "252870875676449346775933190845556382924",
                "333369637243796609684441826202689705560",
                "120673135360793507582513929083028031182",
                "149936968329582398773295958949250916994",
                "156749794889335193225268559377510352306",
                "304792905166112480896952197972662951690",
                "214029347880220897503987060704514755325",
                "209716060334198405280800732350780399687",
                "307720423613939238008868046812898894501",
                "21221656748351210306384055813973180704",
                "115459250025969611441248882034659125061",
                "229405179497884497176989228060580744048",
                "268847025763543625827015616259685741400",
                "237102206896050596254896392110986976922",
                "193507875238714226309614814640895500657",
                "48655888095306379840196593805793610162",
                "108812071129017858845444086665118874911",
                "125302768865959865684043442213355440933",
                "196399670442654907672325301510461269296",
                "338203256863202816038000612702508867333",
                "62274731086576328386500367237507387820",
                "279819684344078619920282767922137549034",
                "123773253015045353011809386911779349005",
                "96209034164844071532716343761234126987",
                "29522070961483073428735308770795075151",
                "54576131177034087763347911594109433082",
                "2764492992309648443290840718562609337",
                "175249506583482436975648699657144655969",
                "165836560443206283620986451493410097313",
                "62752890714241309023671869677071629939",
                "171444854463280583200849935876248526492",
                "206755895545672110270668397983641821046",
                "40244759598919319848387580786502290593",
                "9364839234864556314229002500547553707",
                "286987384267073250969645817787833603419",
                "77192540054589617852161022397289305286",
                "132766233395261207882522440532939318115",
                "67703831954996470445290151496187826416",
                "246985757372081135955032110203588652780",
                "165911852009691212646848909921824438885",
                "70263398116281584149680478112534383174",
                "123305539774862870408015530041619132466",
                "139359806678113698070953017608713008302",
                "155052769337246804192724846431573631627",
                "71693495610914708189420401175035817914",
                "71371225582735442045298577107276200032",
                "264742875033762774540417805456029634456",
                "305644307563983417867157471069058766571",
                "275230576480102983331062910697248961945",
                "73768666469074235638389905599279420508",
                "149788694729848133127744746895560143912",
                "36454852725369422492853032995768202020",
                "331984132670343003966041230555343543406",
                "135976876185630409532098299864097258150",
                "130213982774232944140643869588906463480",
                "300940614423560670620954380513522603778",
                "290566270858035720317118997679435825317",
                "64956521943510397009571371225494224204",
                "87798741788488926332015371682229549764",
                "223732069321399640886880713423246487208",
                "153120134197359642693435118373850642617",
                "138775004687873550046909291478405403366",
                "301702037473883050175803421424192190414",
                "131118044952059349919764322008617502558",
                "53796580451093872971640217134240844080",
                "55665557382620611019085239230108478832",
                "330444548236131441615482490398271370441",
                "305987441958308955134255224771852720779",
                "136386958318500365183344761198500511762",
                "261614406998282197033413276782082373952",
                "200218294855747950623654573007001132791",
                "63946070348707456815639925980712211774",
                "288141691215274741180007712707460882157",
                "102914892300804000063166470574370648401",
                "156849952097836191893136303153302793301",
                "214344482427279951519570858373755746745",
                "309266648620852463666367087931875958379",
                "165090645076555167489103577041345006267",
                "229232843898417676675040306917993904146",
                "293456974779648772142171796497661091394",
                "101356389212860132622044825661740235081",
                "310808153962139823332130383459718762344",
                "120498984777035718970114999766582007564",
                "153545779060584635218815732101394676465",
                "97625917547753857368570257228864632465",
                "148599443120973257631244944386904148793",
                "83198697406249569672626815618485053325",
                "258667082445034335599424860792474550446",
                "323119724386988572253776056638885961683",
                "195790493431720788051531357611441676050",
                "221717282377618124123472892556891852051",
                "301047740798492783774766442160973420001",
                "21536594591348396334806335626451151157",
                "250964084912152747950395015046830796619",
                "108814998368866601343569459082008013028",
                "325873992166878466748926212470811914405",
                "311242541473863092556172976567037700928",
                "50892252776703229096208621669033245086",
                "204932170427786951831655930057511528149",
                "286139706946548067477942928197811130198",
                "191223324696307428060816973973925130385",
                "305540084658641707829661431156771381447",
                "120107680733012203114036993933842503059",
                "226354125410393421107002746117271033097",
                "142301057165120021769273360186067178482",
                "109827846104294872566251040713194943276",
                "339929450338043307682786917945124265705",
                "258281792030388450479253757765298624258",
                "92980264451604818328678863054819608140",
                "177544371799312154736599960008405931701",
                "106133464769750949214396384360509350474",
                "30855852057004502849029284395943894481",
                "129746782705097357769621057422194417268",
                "52731803485953236720443036867785422231",
                "252364563656587472728954535860169208786",
                "101540300468378112606462667831206530796",
                "92203998015961617928390854119259228540",
                "270758689015597207369603912478646853450",
                "243375499107067351023517387982360208032",
                "243344339864886183973704482623149058678",
                "50677418287886029361689767691460233074",
                "194435609534433085761131690359942671730",
                "52360361747194720390111648657188113271",
                "177010640595534107567335066949909445849",
                "33752211316337930792191973968919356803",
                "96496499600425636328960115250357138426",
                "108604758881169243450108460705796593205",
                "287591114665069069768295877206246468776",
                "109446143222130356995968534421425068359",
                "156221520592594691614065400593550516933",
                "298879068139141073641588607546684971862",
                "298319904800462852915893185822624813066",
                "184273589300387464682392939365408171645",
                "253215534638676278944152341290908197455",
                "257310049057391664425789967054700824917",
                "117338716776468235068252527261555061959",
                "310434545957912425741662738422017383905",
                "275788780389323986179585294998261327739",
                "225187323335320239518277136573483557537",
                "118366411321481545651645424768994715421",
                "304264202824697158558433035371822611906",
                "57801536442718979091801695870610804759",
                "54573162136847545203755530036817190469",
                "186029577239322322415264386131622732434",
                "177289724507380405240822546498786083635",
                "88004485532899409329191010115876083437",
                "78344589578007813106443858404033649479",
                "259871328793389588413811555907423791707",
                "84558159392045326758543547372907517731",
                "43160751707371534910352622704598398774",
                "47274805557147878798825506132978698125",
                "86281620581426182579150063018898885475",
                "66424487777553850861569434378049602481",
                "209340149688576706205830459484308468991",
                "214523978797749525360459903501061196366",
                "107668210915651505145734488070513808929",
                "139180492293915090677616062070247276304",
                "83296885497400936913803605105543166330",
                "327608915961397008143391235987168564167",
                "200369631934249698948428311135453604108",
                "256508040952870996601757564234325247863",
                "134677004783395720022896051906604739904",
                "248064626879362827544292349544220849651",
                "287905697606385447132083427666050590639",
                "125212895474062432892679213756105530441",
                "328032644206312079299921849187496154177",
                "179672578885225914853820315470837390567",
                "186601106619550989805663853098840335382",
                "66852782576224711891278323041998793853",
                "131534360896722255524536207996671026305",
                "270573597018158527257967995665726681910",
                "80477260297114316676698157372895990212",
                "340266813032491348599321504768399737938",
                "299319845548990326606909591319679709745",
                "103173432795680438986359238144072322443",
                "146564729682699108390598436962837177299",
                "113559617690040116242013916891557727214",
                "305462269642219800751721682374957363955",
                "24723203776876586655696526056954518106",
                "7327248948511456811799147692694279687",
                "277060674908132112863509060527260445117",
                "316175863318605589499420929510065858504",
                "192448370998303536529280402326454390363",
                "119506913140746589817956891255985803207",
                "166134855930692376032835696154085526398",
                "261010971562784398381563296119807304092",
                "323795927922488761163038208301327121576",
                "214931408968885083168735160435372472322",
                "321791440625923431107435916295732302099",
                "29380600179753459773984549761299799988",
                "198079011138720081515392926982349247758",
                "268802176042255653735918271801356618233",
                "334831131701815863623610405465944590071",
                "142374722308037755174710098136630908654",
                "89320274847957631148448961836892721430",
                "23742219787641153919162002532352077538",
                "199926980746658147316728144192549169016",
                "15757961032999036901583829634129499364",
                "188832157574886857588950122656270685530",
                "95689219290101522674785344038413537215",
                "208375325250776607413109451547198555908",
                "94257971132924803254936950610109121089",
                "252314964051397986995765682274438120481",
                "260310150418494718921659516111440326729",
                "209432750489538086184034369128964358964",
                "109397293282474790542389005651890937566",
                "95190110886011182784831121759346701546",
                "67908869145143242147193205367260543779",
                "333263978210503761402921675272016953473",
                "225351211054851870741118992815518231005",
                "170539409791859362172308175373605886023",
                "289244211829691584325713946274352963517",
                "328411340429009732908467583859797565827",
                "248986189376195329400046943808932886799",
                "97329581639805785180750180489667669823",
                "241720456366923471412921820153005193273",
                "268903268756706577995894142622769339746",
                "233538495202635155664156245165970454481",
                "205893350991346263875447238229770439119",
                "165376860901797222351768488863200987380",
                "124655490727571216265525496852159802927",
                "272492762268983840573878319169288849845",
                "233210692890394022840072422249772153820",
                "102098208101128058768775261509771093963",
                "150188213547233170100313510609425063677",
                "256067910597295285870345723774818567650",
                "46701456400588809118348053411091484850",
                "251791493659381834968632157934321776035",
                "21658429298407029400664841670004629207",
                "88443459114234555405910643633569706597",
                "183238625608458349224688381415735883259",
                "317877902356112741768916781900542815832",
                "335979240855687074982402344673740093744",
                "282037085101541021433994822002554351701",
                "199096716970569828704435632532698130978",
                "169949664707983250196545663513090258919",
                "89852910009428652933945757412728920878",
                "302420487485641729742667673759862997637",
                "248563247199863342983904837171616555244",
                "67374477586871986113994393877296166081",
                "42187099256065403862981247444435032336",
                "152086458147989562067140889033989527017",
                "7216221376346833100778225712621158942",
                "49463624715828777703665911837679484971",
                "241982583363660821258053173015669768672",
                "52485521879292501086341502561925304313",
                "103157907793297832151661763850990623504",
                "276601792709146068663825010422211494304",
                "166546051923208060746189812506570917695",
                "224126169601807258591600283724213885084",
                "207144706795281675562313934198032713878",
                "257649393162661962581713494704476560448",
                "94320694431500329628091094109586710054",
                "59485699981070914308993298729154362359",
                "133288991757410253235425914288330936206",
                "221729391057495919792554184240680334869",
                "307715365483719235777664474710339024921",
                "333748730345383761655693175593693708586",
                "44732184374334825403940523376976359201",
                "316943327401925098903966661365064496792",
                "46630438254613284609980014140349765193",
                "113387737440448976060407195834127049317",
                "204490544861654341060577317688545870885",
                "308727598148940564274981490526258631810",
                "20236184392444241883419097664509709795",
                "173422771344364359484810096820838764659",
                "53801381686565269279091340849309461291",
                "195400036267394227300467101805646479033",
                "195585137193423174771715231546557952207",
                "49082590632746868814936725834142098",
                "162470398017231298923464300869020185340",
                "65455702111983961359021815477348794473",
                "86413580484160938997643579342784850741",
                "39180712625743307404739462228920989782",
                "26533111543825887575858887429493525953",
                "99304544570717655522196179439231703450",
                "322692409914519951632692330405341592442",
                "294675493231762445775227326091916860880",
                "226237229653027084744022355347110285109",
                "11440495444766552102470255470071484992",
                "48209447774291298414393945269220645910",
                "318517610312692013474898761221184302795",
                "182182110582523477458491468272471044480",
                "285999735572640955523208510141565160973",
                "13083271142402597409146238870877214389",
                "45189417257863047976855899678089239128",
                "2795040591147389470705627668568554645",
                "127770954946401095272364022592428514724",
                "147910495934509573878674822078003350017",
                "68722043544139924879589540638815696528",
                "61112952811944723225880209740761081813",
                "104964176474855211914827137652945348909",
                "282592618281843340264165495349851780952",
                "181294226991711063305243423179446251450",
                "162174725015085306344470208692496735094",
                "325293277063340725689233318602836151520",
                "32561662536669463694833200684015043476",
                "14121518782196712538806989004695373350",
                "171310668843046248956577166281812783155",
                "180035521278733707748694030485041813301",
                "192953003730948865809006013698934072884",
                "135899666015148620799722200849912290119",
                "270754801495150182776940972892564810218",
                "220557671953443466340010718598209322957",
                "280963480355788414597094785934129723874",
                "118261323619098378080704593295640693449",
                "255350675066247433832904450216780802254",
                "333928394284988896911533726223545837750",
                "73619929890463351194189420060701608612",
                "2186088735249953141924147408149596324",
                "196498609339427865783058126306121504049",
                "311416932781245780486513727269168192197",
                "200259660644119317780647856637569471818",
                "165279271892399187639382099021802492448",
                "127498181073600770554176199798217565574",
                "82864850699530159287362876552395409648",
                "211156233717101132497301472677341596151",
                "76223691639135835955006723400457503925",
                "288275138015225654687173830303416416015",
                "47575239693989039929052857771834492910",
                "45518293444323315569933069138513588184",
                "33277312142598650759390345232735862218",
                "62935293485199240342767962780048000492",
                "213551294735907242943077784519805353528",
                "184022405645049752225106546419434172562",
                "295072072558682133280822030705040837838",
                "53740456687120915062288769156027703369",
                "211828071266008919651048389485903205354",
                "32776536921045620698678118162423517906",
                "111939634108134470666172425120059003894",
                "200801982617595494026068873192496960056",
                "83179601581488017029058413116432938811",
                "105545478772253944982617301389354767745",
                "109695076168362910570836032993490577566",
                "34397620864161248224711020426967331496",
                "270460885140805062441974197730369322155",
                "3015170044510756665507052213985520543",
                "27551495525203671026453825838801088999",
                "9518895332608343189723690703275059528",
                "149765097600253617923678342168114201531",
                "55643492802127602263475930720214867166",
                "241213140482748876419696842197954582496",
                "184625599134192240297530885782671798423",
                "103980068943583286117110440457133352965",
                "130277159615334988248525884831529216344",
                "97992729087640356280519797092415327916",
                "301368100395343353462693704197273393116",
                "123066250526222416388416212745367839024",
                "267715848036686840138845555775007895394",
                "210525932358954226287494366501444798623",
                "222499514766945655360212927464657121852",
                "13108202300203172980578754654011540012",
                "272177429613204470717489191942989350724",
                "77878440864329173440937694482984382210",
                "68856043817293169808923781547201450569",
                "110608120199609954624796876477264762058",
                "229147771530648549308112179598355696995",
                "197203142893152557154614515670973393587",
                "246717282748885713540053111409054006726",
                "20969043573630201675844141779165158685",
                "240737352888400159851519577641363734530",
                "136382155931785795744716773511221733312",
                "36734488866986545980656059160411080298",
                "36328758549472797502339239249840145873",
                "229790622600287321568296248739016222191",
                "10197900282435081596754440493956817753",
                "68843131181827459772582578319378993617",
                "220067472221380487634758506011682683981",
                "233260711214123070833875473024057830571",
                "83866675669966398041217936038488549558",
                "97606191746402813533718538768854501284",
                "193355145378047797844104242114930848923",
                "48136230356020850291399220799413409872",
                "153416829750906848757908173374587462404",
                "42515282168158603117115524247856622756",
                "263390944453740695382527345412331281695",
                "110632216439182508364985347911935657767",
                "218006335935220024626808477226577524560",
                "233578244178101275712450807498299295637",
                "204148436824154603245787277627737773492",
                "234488644748856486333737981586073050268",
                "18434199217953385205481027609025923733",
                "65358318614833473208125727768041848066",
                "270100732001777548201242877897722565776",
                "218480969001648909795705483117687559493",
                "157258158804569332374594818901754462408",
                "312968353594726950121580515185898818136",
                "53277491379739435455253201603757246981",
                "280918250296964378298659785684974393292",
                "68974084829719899107325689353431337119",
                "204041729409566071874039531027281498843",
                "27044418060553639611094123370749178660",
                "49248723371452102876554043078215712337",
                "279639173939222877843186844249910984165",
                "136865111587372761040023515751208678001",
                "335048516350803814575473149228586598082",
                "139843158737263103036093152689607351268",
                "328204067291934091455911302386423490787",
                "182142775934064724452561529666080229069",
                "89267323581852340772718017050930487953",
                "241996390324832160921533131013727377618",
                "64699501541899723992080184605367154489",
                "336118664844284456184907329895140297467",
                "134269829306195978465882418594040699797",
                "153831493022588359160523348390928588971",
                "66438817105599874058284774802386813576",
                "7727965081707225468399646914380973508",
                "259862147468899287663394398923386192467",
                "328719683715865652524592763038758327375",
                "89253367943312731634256853995146445164",
                "193280146201899104393475318874313688552",
                "59909283672475716114618789473259743894",
                "139339479660694172917879851587270735295",
                "40224706277481528135962626543838538484",
                "281963780675044225499354322402305593321",
                "201336175890847904016833319681242707961",
                "40167909986803748558503497131809429523",
                "19354397913560235033535438211737248924",
                "193689974014979966944241782797706117172",
                "82969296806232420763117537899710090181",
                "48107342039134256050873170367103449749",
                "121664405117869092955907162949485639696",
                "208172472595507911553938351104802929103",
                "100178208765342859269087069572518170828",
                "172678706249565529867938811847357927246",
                "307892420336894889288705013709104326138",
                "289451520682790295605487712048499810308",
                "230125801172040819032444688820699465945",
                "200522236555902804673711370343254528159",
                "278303634227457614022398657293640842526",
                "273066255832205774498484562746898651064",
                "200157168047780991742867866138502008525",
                "9921398426754235400486071386925494169",
                "110043977191400700404988777524028303830",
                "34429491153776046955288386376339047192",
                "52133965938606940774535345250495325257",
                "240578106438393672488048150240479280347",
                "85951681659378168134327803155838935140",
                "163502752691001949756747303068496194159",
                "278712048423956875063833749654811019500",
                "253685853441205813729551778693284929299",
                "185474464359528582237045443783376827417",
                "199415367073599954156387700825822545912",
                "151732856051008823662042004961981873394",
                "277341364230465996232127107967304137339",
                "181402432805518179773747040655222165095",
                "162147004195463004012073537846158593135",
                "179305718199041977940590460008117374865",
                "265297091332429399805448172674088023163",
                "131003527153548055253099831427708773881",
                "237491351998268126267516569381423928769",
                "282441958237615573999400890466316633092",
                "136339495214435110821361756804530798691",
                "19448595728562297016738495424653039420",
                "138307285100686420509592140040334208334",
                "107757215348874736080137265993312479276",
                "99703384866227620699836439714205261069",
                "187204123371062427798998802257087347647",
                "108087271980292962198728710213555266804",
                "144655344497932579378795180544622145443",
                "278231986556564308867633421451951020279",
                "123040411534077854415107100221331542302",
                "50618485557757798522802651584381393644",
                "274441620024153171013369646279732078372",
                "125313132597865476655192608921276354920",
                "103349914168153920723526973402810215983",
                "253151763869464074208297317202255286496",
                "136724617880511833183847402869287875580",
                "303168413268995260370135569771834310806",
                "310691382541542788862598150281634333897",
                "141933930261576443759128081889294346079",
                "44995847347844856978085521415156794568",
                "111568537070823048669861480899171919897",
                "324914835094716470559225180580970055020",
                "96397301475369159639618294929451550849",
                "111298350530035362964725608383526277355",
                "135662585292149257170481076458375327682",
                "116022926255059949662506536771310662493",
                "230945027524957299628845296171161645007",
                "101830626892622318249847264019675520423",
                "242731468347774653228747652627590095971",
                "227993329431935584392527857808206844277",
                "312970848567852646501753237749223795960",
                "101418103973045718624068632013782930200",
                "153112026060757616308645921679744907029",
                "289968466964054023274815615869333689861",
                "242612143098870972992740421808903915556",
                "329158586425523262873256082379475456041",
                "46814033012996233104305760280707524582",
                "190561014431306076759830698550759635572",
                "110467328111435763958234508365555009288",
                "148527887063257393833510346931645362913",
                "196107068516323599596591897581412612507",
                "304962195674155400216760696253184752060",
                "196548568760636944033840425074577377782",
                "158549650530027645504281900019512116771",
                "202804521984060301647481910834694712356",
                "45873263538234130925549080916577319683",
                "89572827072475607093160887263009937094",
                "58013761180264450600327319225400179248",
                "120800780850477618867689419651495890694",
                "65220540598647140591063829403833581082",
                "184869530622879638276154518371463315278",
                "254360505400643081860673464412084013193",
                "217480087841596103688003433396138128843",
                "320057514093984207405834464176241369684",
                "273625075439646543975750966236805875691",
                "201570977696266192383450132252196176010",
                "7370225415519723058516200075847526816",
                "147682003416371534792240190164147298781",
                "268934938386651108799896499538860502136",
                "121496118720287792248106194943736611628",
                "137856663555559104092744913366006837875",
                "274356694162738454863619240752714317735",
                "68189403040295322662324230153009927002",
                "272683396787589020611938932625718100497",
                "119919308701522565345286528643213206408",
                "211627257606534826565481425453361576290",
                "189449734963706024370450551432050664012",
                "258554159433781113589666342303665532420",
                "167822364897723787748721100873130795040",
                "314286671864225625322887449657022522144",
                "224045096521348643067964684499895018684",
                "129623396044746543946333915056558566845",
                "308880263091713058821988914666590612519",
                "311899118578289800039483059620642518026",
                "245865499130532322146605339366100070550",
                "105350666846357274469649140295094428099",
                "189213466113654342928428142978861357941",
                "2907966219105041130037154950053660623",
                "339635891062405517668630664640158419345",
                "86344163118215023587827472068523215240",
                "139767858074135212817086521143615491836",
                "103689602333877491646900855042072340256",
                "297277806793309736643867234048899248072",
                "243557868758851683535407671857537968512",
                "36957312826788160706325203883093411960",
                "270143846836570248139292778814456383020",
                "287757846469637616501377947143512092168",
                "182260433548732783447499842308355435331",
                "221164665239113949909135254830151008159",
                "115011909873695666944397221678603535460",
                "167395283446963181584774550960060547660",
                "239337718317568111899195310077538639900",
                "250177922553272147570765740017278269216",
                "79826026096741980889280358853657513380",
                "34088992094111635161736124257313548825",
                "90146160497338375039107990827241435308",
                "79150287019716150044850835302170828696",
                "79328548271215182221691563874341485919",
                "30135424521382925513606317104451016542",
                "69357930943994435064253767584863052449",
                "279430653575374092274053296483657369157",
                "225563081160678192223936444792169484696",
                "99913380155655592204300134402583346799",
                "38821653771944379558133788257719890399",
                "309454214018885815718279922735967930152",
                "197889579565358128506269409820506553565",
                "144004929408412372583520134780712992994",
                "208737845475036647650237851084267243585",
                "316484001296121368771701829273340700830",
                "140412908115486778456773864949318776192",
                "202328360085398445302300741844672447371",
                "327679800014922527062838289646224929897",
                "156095715508374434562516146174935302710",
                "46014254097846940490218377412630437276",
                "314787123291730607395785677388406120597",
                "266458481422661366883281351521281767260",
                "182212210177972379495362733716008530417",
                "19895930035507078234696813887581054840",
                "199181890974685394777643881371779964182",
                "5497100887109841959371358625206884344",
                "246750812948230917821993000861167003943",
                "249283242462155382999468079050599742534",
                "93256941123534900508789153570974893254",
                "190657076448181986195296111468074540640",
                "146883296964863683215129141200763427527",
                "4877389756371685684424224371747102396",
                "55287182505798407906985849574932396166",
                "319965341184562807960883229110153985602",
                "40499561296156772707365773035070846735",
                "232537998880622748833765287438364566379",
                "142275189849155648381439145131805196118",
                "242208604969483115115947594862213571103",
                "206165773446032630687904915978607455929",
                "93324135211363915109715898090736033596",
                "114682081218287348395647551875336743892",
                "19344736548542357119353980543808174634",
                "249313732364149053851094013631333679808",
                "111194475698428509780330550806420402758",
                "92349625627106044192088857700237914791",
                "234600605538519864842622736422804554641",
                "215230205961111094722140220185710764941",
                "315308490949712060915977578421651799898",
                "232352939743301792481676649139167864797",
                "319974097551694550129626100973611860541",
                "94039428273317244850902623795308698506",
                "193921847434558779974867896245949764403",
                "105846309869744275101177357681595047077",
                "107959977429908280327081051789469012915",
                "76850276749496365957786891598164594912",
                "271427297368297103282884431902949330429",
                "153337373561114784339894958035790043221",
                "152060712934173020918246894629317628670",
                "221732705938073012755699154372023268307",
                "331277711103365865671236712708699128532",
                "89515799527535585007543578896291976839",
                "66310539701982957591239575178381552159",
                "18019231791927668456352191845520582601",
                "302635839789054221969628490181247547715",
                "181731390121309636845302460460637662833",
                "221933549782401304196140866052489210309",
                "68371385033436049165218748101848057650",
                "183205166615126625277360470116333564725",
                "249570478590079698897369382547854639570",
                "121870336068949224679355661290098089792",
                "144897151876291203340628193572007089146",
                "254134910471259902224760437970311780284",
                "133979122148303746011675520562589105163",
                "271988727492632145738041613947739997052",
                "294222169790466441149196978663972895019",
                "221778664459340868989614447544711220390",
                "143733551494362418423385347845010000398",
                "216466895744203430942817164313939458243",
                "189057012730999130595446120609511423226",
                "196863268292629635480288052376293584595",
                "33151999685642655926311950306563843084",
                "146742958111903328931423578836620703261",
                "224781115041410707069795039608150130438",
                "238418207503534057856960387867917746072",
                "85083141720731907407347323341586575870",
                "173031857882274927801619195768880214837",
                "24164982748805747723581158589143738933",
                "132711304143293688165623001179554294745",
                "155401890200929526278798364209870539413",
                "53329464250618544040437285321395723371",
                "76169835474950875726019591514717108455",
                "41749769635264082816335520355081953863",
                "78968924982462804744943956959151146111",
                "165309555889410327249245599204972816970",
                "324926308217076210670633677573812889648",
                "146492404608775741218181109615298852146",
                "324976537200090712588938387474146753229",
                "120439132526132675495452372571756240910",
                "46755264040162781428644023746711004397",
                "14637357487973775464380752928531050720",
                "132850560338437970864245781064696854513",
                "148061596829697967744167176139746604529",
                "74446247900337797795973145039900464802",
                "60237869706506151365679169198356503789",
                "222055882468060441104199437682946135500",
                "64901616751533626067860247599036906675",
                "9833338786440962111449258540916261167",
                "253208774862932854137875688936452179562",
                "172487369828571013697760489873353647586",
                "304668887476375217408271350060199716989",
                "224881289905844272365271450252909708129",
                "305428685860908051593042393797444870811",
                "309585310674322317489077601336619290650",
                "312563083033719979524581554265843781587",
                "138460869579590438799417476626317545315",
                "243683821721986284099175678413673731530",
                "10572854971322748548705415484375199005",
                "271036708055450694608052177801497540205",
                "143556002894556787232727744657757066201",
                "206980711103903188606788312301798724957",
                "155978263161800081763154507761145343830",
                "263667076874036301604205946488653343736",
                "286867868418740099143508304663024302299",
                "172929509284923831146754393394909346213",
                "311681499656831038994235258955805809638",
                "242127617398242682156106125523772021749",
                "38747598116200870275388471790082816583",
                "112379509282581447317406666305773677963",
                "70455445292104519996664178945793408248",
                "72111030309697686456927217813954979060",
                "206486749396545995538027214046964895836",
                "184700125950973455279359743566051682301",
                "97402935100958706060633512795483107528",
                "302728237613776848640238771186485084661",
                "31694625806257260401047409484480418746",
                "189553537910658608691731075650146849602",
                "233392265589975796312238879508536239576",
                "473464738114953968739212951758349187",
                "112903668562299889465655376314913548906",
                "225746149821220224265256084530231025163",
                "9388606772419886019914372954610367490",
                "202153942227174267827239478226429142730",
                "87240981882548551569890877877964847268",
                "131702407025017741466813952499495865224",
                "328777335204112023601215708552285769239",
                "151153658980511211094944358600715090268",
                "205331190470359355142720923581018536927",
                "168177022085418252180177611291757118715",
                "119551420597967811363219777800125479148",
                "172507304480366675390515194441085826096",
                "115584030215134038675409373046338905123",
                "7982978174249644948621936632622637239",
                "269491286044030448878780057023888933778",
                "176317139185573062486163552858294875011",
                "235274328311811920700383610086989349844",
                "9049582615483694717796152385349388437",
                "74132862276918056239622716514646280981",
                "149199705067099933152548113365195041996",
                "164101830008642828740508630255474767451",
                "169704437714689573982953447906129239360",
                "261606492578901956452068851937601521067",
                "11041212651622007721554941902536615299",
                "65371520802302631327518386501106249558",
                "52350252300076163995252170541584738956",
                "107563106949677456394808052943216197997",
                "152385993266003672880766967484971352324",
                "279949507310881694046841009851326266483",
                "115899097324138798982500195082182053262",
                "112548274398831144943224644225103986236",
                "185631748687439615092226893614148844302",
                "178501709930327115336461311104281237171",
                "128181172320207307257773187936317739128",
                "99396800892085863203387288776295941888",
                "84270681212344600753604079102571395844",
                "114059233073317540592180924365680472173",
                "54728356338935407010041102126116636093",
                "70499777229822556579391843589549809705",
                "142703680395116871561902074623402764599",
                "338762419686107147955455321976243954028",
                "225596393924433580225459571399009581657",
                "67096892677221194207876345003332662083",
                "292725153285695530488513483607587216299",
                "321021518646502169083363307468069465923",
                "193526743223514254397833059022702419266",
                "262517700435495132430572654262933759180",
                "28419559357036989677559121060590519096",
                "179202606217487106276842011778162611022",
                "154812563681254144647280575828177935947",
                "100759102636550415143680659672257213942",
                "317059508495651441289109008620412813859",
                "33225331948443482152109593383596470720",
                "187434132013089289372573371860537231890",
                "1994545214828428102176810675733016537",
                "317957073640594636018183988852393488554",
                "64358809727393381222444438336444852839",
                "216066391358549820466313459077424140090",
                "326117688196546693664756630424004201938",
                "19349676876723991620166897087750267321",
                "150114840241036849500058955949956613792",
                "115967169937217850658314198824372397249",
                "2153544353137623146885253830950047525",
                "28476831832592312145821036255178148304",
                "35236552801975583134843032876449347075",
                "245780866656043914789173415920962064665",
                "126991023015437020886800261468191028503",
                "174991326179139402228732003101926662097",
                "43698642861760240476694362658795931338",
                "229416141578125322778114263863133308113",
                "295175763209541323159954692930540916058",
                "434510533361709754507525609201894322",
                "274673321990861163133041416491898761580",
                "284024379364988017182473567060129590907",
                "195778248108785279972433677124519142405",
                "96680159550113748612559561749048941465",
                "99183592401178193963099535920952873588",
                "114653169465637508563356135068769882835",
                "267568714845506512069928420227043414169",
                "225939665743198801324580693797287845064",
                "121020678844985661626447388921861767803",
                "290503635884050568293358366143848647417",
                "153495427154548786679617373356047081874",
                "289395054033991563168434804374174552806",
                "332686910749526332166363972430743371830",
                "46046271953136591659748349933109991516",
                "49269240686153358806356780044926562358",
                "58691325236004731398188980820548416299",
                "35300102928745163471363991262839489457",
                "151936108385714037018288942043795764743",
                "313636227965463203341362054632121798166",
                "61196841040557884192766648152340525286",
                "307123997796994645263197796886493592448",
                "300468868288274640301813665313795606575",
                "317508298482191786683087868417331114343",
                "8372589583851770427234527811344639920",
                "133836751564925107329884103533147550610",
                "117771847976827291049691402184495490691",
                "97916666265116104565874540374970544371",
                "188180357930681053706074026272515886188",
                "296720181791264512422495052397985668441",
                "87165821537521195480044479187437044105",
                "320228847184355399034088907033112320648",
                "107665948546020750691425736747084195257",
                "281060097893369410869820547585624929295",
                "99228355842933547451551368500833562806",
                "327462943499876101263435977765088674129",
                "187062637960860043159742570950645710533",
                "263894132894633547522764836206431593388",
                "101506177672750325041263975854034790225",
                "165702684402523910400312191172788617745",
                "183013724204177350870810410136505981687",
                "273846032072063359823816763731889302838",
                "316237635102232973291300888102478669462",
                "290810131621760256711301033970627168004",
                "25707535119740890449612020002125320783",
                "252001649389464485504214188339898532019",
                "150633476354067491439576235020067277615",
                "106461092161919792737996294128152124716",
                "74269044637916073867733299188030085471",
                "272161848487068578447273501763260453817",
                "207657929340410385253652146322638734843",
                "24723867350673361629474417944438023116",
                "562886904193108849279544784440481170",
                "178489721401834177240401727383375218455",
                "84300700862056748438779327265585362226",
                "28074860852355619640624319274485296270",
                "228163803349886228236825150979468843113",
                "142711642230645816535756343720339902756",
                "54048553429548557091409132988341129820",
                "217609948696143033133044276758624439508",
                "158320128308551159991849757629806564960",
                "37288142102241987754465645214069140364",
                "107568297282329679191742821096119885722",
                "125251436139622307383717925917883345158",
                "87928172237868405013124474625644798806",
                "288783052771282183394445589664472694303",
                "92943676901791130867799464675854498068",
                "306467390658209123268417011399535334282",
                "2433921969183551868471238725434124509",
                "328041253030456313761816926359493393613",
                "104035724394812773247261236742162475663",
                "218082183899114151001184637526623118243",
                "125327605343427693425132794716874090536",
                "112755900915266979082800632609780295190",
                "163058180669658179248927583242777293820",
                "209094057951662374366722358657269186298",
                "174636590575414647454748403054488493606",
                "322696010486359159488994634511555545147",
                "10758649695917639546675902339809619936",
                "207749961266826512172070757113355944707",
                "74732551721394611360766045314897988731",
                "222068675405774074373121295093636493123",
                "164164303203719736070770368111389844186",
                "316175639691334746583189583605314854912",
                "96254043091282481449829409802550866301",
                "335680121862630886883402451477384775928",
                "19048014955761314880282692440167966002",
                "273124097789158934285348334769720532642",
                "281221138756102842485785012128022606496",
                "328105764618177735838551100251908754848",
                "91572804097888660289036005220235855200",
                "294382234630656464179130078284814458927",
                "238904917139183578822439525659275280429",
                "149973730555188303401745415189442505510",
                "125345826891027852149207744678130416376",
                "36215816813303725707584075819036655721",
                "178219765208733967947868691660639687595",
                "73496092738707391335382048588802865833",
                "136555878648412748095716199207350274225",
                "269822898623710466234215669968619294827",
                "127906407901923493938840951180022608561",
                "203246820739509441753119610017062011024",
                "260100353186948715546600604411038254754",
                "223540279934797691719323798036683574753",
                "297302915599435643704827662078152920211",
                "94051218351769616513344512547294947628",
                "59469739152136654618059231704252577681",
                "19407929657461884668544399510736126709",
                "218302197629069180752890679207257880855",
                "271663656238455315597331639922826734813",
                "264040901874546449187752356097172112247",
                "48941287716532439527820913038415170433",
                "263124280101753480687934515362789590134",
                "214867141815130842413141664528717778632",
                "93154247313958191601797616730490541640",
                "178336648185087668472911983261840533203",
                "233163162635453091385277732432450900815",
                "248003599318897303324379076110763556613",
                "154610731398379761241282133641805599655",
                "138700287835921105441018284295257560656",
                "109713551937002207409377717015971499544",
                "52126036890968650278879112553220223639",
                "84385119081772320452979525630925836826",
                "53169041230076836274375719820918947421",
                "325438727315010645762232106518037405679",
                "327012498203489310848020425364644532472",
                "238375212098301663515818087911708155652",
                "153822288686137631469248298999651044326",
                "197768233876642014287406175064540549655",
                "226321151544567136603114889727282297490",
                "26013368568604735937584136291073054214",
                "52437183562842788821194887784774579914",
                "155623117745254981175602830840020187103",
                "34104600960423275185362828937098124276",
                "54880527404658902789129885596842351395",
                "110051874708505623342810541949113879125",
                "127630388154104264525565084855821159786",
                "69466434093116859560150935127858550818",
                "37392509653209812598391824492959555930",
                "275309623881665942960460387966243638745",
                "245713195934158195794967865094259922292",
                "159236249543725771880365877582100445133",
                "125889288699103381639125593404796469930",
                "308667662726275242142008379408572485169",
                "34178329810010100707906278516765020841",
                "319261284628361039450984162522397917563",
                "208886559193118571634470677623997384825",
                "31319003606374136258406477644264487102",
                "161515173079000734187531448888096017872",
                "36625990953690480219070027959684780959",
                "218900257828886919722187918793191851158",
                "142212421833290021465828529790454485019",
                "244231774080516950011405343158254052410",
                "31698577670132359110077855121401315788",
                "310708766724902657118309215025282107949",
                "188683525201891325369468642519671004778",
                "335765077976945373729202047633167550345",
                "196932113758265179311570520441603176349",
                "29035288541738786186175847423670599620",
                "19663061062507679110823721158040059339",
                "236836150170073428942957878543768801816",
                "117137794954143741073680427398903954968",
                "149191362202785189498161816346225165386",
                "279838037331057759132051079446435548797",
                "144897092903138699396369818244212547882",
                "21997091167235307326107381023369858541",
                "25083848968113160589704782355634568351",
                "18718579350688851407713748015024435532",
                "1779192976431679321573846105382653341",
                "4508812638876478306574292112668712496",
                "30571918108783826383515883970930007953",
                "229540459072206350412133167320251623928",
                "160950017448256842446523534945487056163",
                "279245411731566118736524642138402290086",
                "190859036078819585300775020317337944641",
                "114330468185082152250584428794280488030",
                "323006297147355822324950246936722844660",
                "185079615859370425814826978923602451522",
                "195322162026584744605853934265513977502",
                "274036064452820498207467075986170211088",
                "235763932481188198651137765315726628995",
                "89851500136873018061022781418883178349",
                "212882110167684052506719956509863900167",
                "336986148465462111157247650862451817360",
                "19017422918972305938206096181067736893",
                "292799728037253403408247143787607933557",
                "145538904487364543032600817924442239076",
                "266281085187488611316171278892477635161",
                "45119095953522084809888043134039061322",
                "153041447533228730936930554165674541399",
                "291336683872739524371217660552661746581",
                "250271774357769000949315246533664383537",
                "165496330531325067595651364790712303344",
                "18976242151008664185372029076701665895",
                "329827584178043552213717719101178701993",
                "248876651132682994769202124879325405046",
                "88556307319273736474173782221823675008",
                "71256635958837252102283300888816935168",
                "247035101369392186081412999340693599386",
                "337415751485979049631807568686534261461",
                "101230037661644323696139580117280827795",
                "190081775693635868624398589049198074833",
                "133785321493845961933092736309930400962",
                "139689740011262831343277241988990794964",
                "327832753027451803450295440326136072873",
                "229573515868355033223020520644759914334",
                "300750475037966586354024052400759168544",
                "78150409695795598481691148332056172669",
                "339343870363604223933991326621668663133",
                "82556394198633437603838767516080492922",
                "137174011117843584831885771771309502125",
                "257441021268511682140353031285083739220",
                "243267973982976949669545627701560352676",
                "123555437152155986208282120559014151887",
                "263758805332533149196735662565200959143",
                "245981311158574336063426508015944477538",
                "41066685798638659639041833889129933643",
                "57538927633469635921036003118649537146",
                "88707761053589638143350727765062872610",
                "36387488931019103123408562466959472952",
                "273236222368531651057018094560958697130",
                "132740839933348489594476192236281762575",
                "80248080381199121585644249724411000793",
                "263763770758416890312685502933921068937",
                "277729198128365114242299725043685433560",
                "337087025740289218221219824275126308732",
                "131925212617337822520119897939579277977",
                "126001842318396628098605135529472825622",
                "274795986669960850343896182238387742397",
                "276650647229024502208872930233973146253",
                "278629608371318415587593442695184293510",
                "100978204739367238935051896668810039342",
                "281714859195155274278681676520748308578",
                "328628095686069152386191672612378672257",
                "330695630012236733192713259013476672061",
                "223344318373243578386099146227363169236",
                "291917083774405757119647083276034044632",
                "12901146417154668454283476351124004712",
                "9916723058028319668827229604606226273",
                "35522523144474177591061305753415897643",
                "56654174535205037779712550432062803025",
                "67175725982691501372052083803646996002",
                "219472325669567719175797826442004220081",
                "300411833740498200129979727568690069595",
                "119984254796749007091571221461746824840",
                "264453174765606687962359971594397567576",
                "292826379851032748993566680166038451664",
                "10078790962353775334276330648944546394",
                "16802378538435470461198190101749283601",
                "104082350308647533563446786509426119654",
                "114394828953171912555505837587542615106",
                "46492386241962098262556503203324403314",
                "25841602727492607053385290399991369683",
                "283144934529001992157160521868463343827",
                "83868422012404450222462524787725144574",
                "56004443144958394942050653775633440694",
                "297891666867375975357905318010384790934",
                "334059069965259109979765159040190845277",
                "127428332868574333969848367918997972628",
                "283876673414650498296943451009762285094",
                "191051539601420463831426240423034883033",
                "78040848056835945779356696102421771137",
                "8587800773375808895192608261820053286",
                "221639902834985924136785145570381458356",
                "197341007397737319568474364993315209381",
                "314079128767581648142193513383132686129",
                "152795873076291522762396013427406888610",
                "47247028144172283812619445590128720326",
                "80426794927378855678501139599168714050",
                "281281054306431773681654739216932279757",
                "143263929688265376011661633551644154759",
                "311448397390242856104970767962064745306",
                "255470034555984796468998198262269735800",
                "162625030172164006067993081157711903488",
                "191803199641418396757234764603739836215",
                "13649681394883219957366437772780990297",
                "208301425396477081336583872345906318619",
                "247355463702270916041580761846791816174",
                "295138075229346701835458958500774849642",
                "198176680456570700044711382438982495760",
                "77721375678272681254834414130609990032",
                "110542361225920986260940924537396843393",
                "14788615025397710540110230132285955696",
                "14595312836826989972090808481373795565",
                "145769836320157084867927673528950677995",
                "320888360194543846559031283296355834081",
                "307180256282758714878702580134857564209",
                "59195075406044791252838807812202061023",
                "48422741046642862882717541422119556670",
                "291576295865222743765176568599348932879",
                "127947555400268333554647729884005092276",
                "255797984100141286046617397191142459329",
                "253078605958717015472918707453038531543",
                "222752850581147030667708158189977261180",
                "91204832883932586297119742162598748614",
                "34450819724522390848322332638566415748",
                "178960157346466143320237203490798712154",
                "259180375042413973738338795669477916799",
                "21572958559515750304385311946854505947",
                "211541136434293540427261498026109347247",
                "5674429773322556119468237934173717962",
                "113423159904733779732203562077525486382",
                "154134964633512277407122369724101513984",
                "11586091737128282922701245703211465913",
                "303746706078212130872252540246418417988",
                "161311209811588964837029495483711704687",
                "298027842868191823333897222260515578457",
                "139206855217871546015910416627952909144",
                "35877283451200009638840929526780298603",
                "232121074754421025089314123887944896933",
                "185864393931783071145858574587894167574",
                "330822428920909967237547993431157049720",
                "47512629016260873154460791535887348972",
                "109524997561279659254934042079775009418",
                "151076351450228252371399879680507628810",
                "83223522484286595416924156605345699510",
                "319006577213381681664668765079192678568",
                "286610880044141422986612763476887802300",
                "34496999503156644529644237224099759663",
                "35785298159331246749310981063151554011",
                "136626485652861876033667499667338970277",
                "179539599674451503868320278474281329191",
                "194856952404004359829846134934318359832",
                "292979638727147412627036434786643639251",
                "114225609584463226369871529481298137242",
                "71943497516012116072330853985626316347",
                "82350961092127823865658634205312315803",
                "7412626355268600514839512548847806254",
                "320811923258935418911605048552992200486",
                "310555110886710803280752959961726160109",
                "37000110658215859020896202870153407147",
                "2470540350413008416931785256978030266",
                "41122196391540695843870645513983831862",
                "96699812661428100765754366430031060741",
                "164032039002185168358956008505545878983",
                "291555898343196077515024255695528875465",
                "217015984017265674704072302926140526016",
                "328896671886881816521967733748809470990",
                "278196377002276911315811912350849499915",
                "149673648013104727253158917487709117085",
                "110619015572323361366993093291061156239",
                "95555254894193442019802377655453157182",
                "70476339916483068425799554880003061019",
                "296945563482293485456062837538075250253",
                "30330506822082739453548521197818017793",
                "256676696683039118026650029524239491118",
                "169792857723912983213014133839878147262",
                "271343990215037934648207720990363148567",
                "38534545829853037683928189997372693462",
                "220454195396994838887845885123892710078",
                "150048819689571156598097660127364029736",
                "31442020133623555113767001300786534192",
                "330207809249352223555216525335153711890",
                "146908609216599275368797414620212060628",
                "334444257802746083516186135334553497556",
                "160632783614775638230499689163126838923",
                "195239637211440930776897444792507081771",
                "49634620428448207322388864957110705123",
                "65577898691150489326062379620670885566",
                "283785325932296689394485305988709866661",
                "237412619969548767999961749501145163950",
                "104446242423080412807339270213410282800",
                "20884171336921934467282427355841115407",
                "250491495745871322117838326234131997317",
                "73386464413406278566899252093013845502",
                "2709201591934637002320217410220222386",
                "42740016203834735451178198952668171805",
                "252411713546892920493792465628900769444",
                "152756191865778966283643524276610675595",
                "187590972827694415792152574510483013972",
                "304880981412375003935000303604358488581",
                "7203544885944089306028447436924203551",
                "18690477375392361024724693427521904260",
                "172863834719299597016347656276732795548",
                "34170174674817853509144451168764692127",
                "20004260876027150345522374322757017354",
                "10975941432963671437090197355621398291",
                "70162035041707276988200678042960434915",
                "142529629369674979857905108793858828212",
                "293125528379783757147203700902609980956",
                "57097049514147623480334820929093462871",
                "325656243013539020053690112581002174708",
                "235687278022813753905252112590284705061",
                "122212858596721451581584599394012459421",
                "205755497913773593262719925594709335058",
                "162907411823552532422414832212502912695",
                "283730509054376877826482121964724965609",
                "307685681551150924966700409562479425358",
                "308275925952114721801988891091843872135",
                "91999486401333355771942844911652806386",
                "23322426016195946525882250072524898524",
                "123093266424562656306316108672517248113",
                "146270232238188015715876017984762429431",
                "158800868902241967834453003429439678170",
                "139182005978181557725037507607454021687",
                "264534315260897234561800340704910901103",
                "156070983381216869607108150010685901719",
                "178838349042356443866585979762546391267",
                "155926705725655562214475794439819486454",
                "188646268732190304067275662712026268970",
                "291007456012884990290487166374000875974",
                "294980380436180717199833903139161967297",
                "278107650082887861102909570206521565517",
                "226119165025049898836362658104217001768",
                "119091318151864354806508966250875080060",
                "199432748226989355023246724529898099598",
                "282095026257267563568462306032551257754",
                "110654257548516417212280609740933633635",
                "136577253760692698147373733824839217307",
                "278578177038343505458545710083620781465",
                "234239280970114899083272204535321208366",
                "21298510051934005830379314135033639744",
                "98723508003466535587154082094401417849",
                "24247767839847326951259772574887814396",
                "339468139934687812870085613607747024408",
                "284036334790115098542744359647763297582",
                "5144482155539235555459128034570541739",
                "302691174199450110606949470421541519282",
                "239035808479249653636083768053223590210",
                "23245696318460130129288977589764193860",
                "274068401801921095448746442651087211215",
                "290139624212273153189096765690888542308",
                "205098544797173363880749832528577428398",
                "164581572421995645248853869597639273202",
                "5745088307991780282141303850403478852",
                "71980120243605602064718237365004958424",
                "78303853616469747070528927177788089541",
                "332219373503143570304157307104580111081",
                "299874377519566904908274363359961651745",
                "27183485521943085982733127123794038914",
                "320359903758465992107699236367570911666",
                "58137852921236571135928559577995834634",
                "107405691901175380773634633369710176581",
                "169080265425430954645127292249432396641",
                "166188356521270714195263781220143575110",
                "258380117869618389177078557630030740894",
                "226676290482255952202246265770550500726",
                "44372612470592686867279028083752822980",
                "156715325462037657638234293300443341505",
                "208798185900283126735363272309097447091",
                "94887965694711354858335701373203874847",
                "133094938558500065474471017793092440493",
                "263235427554133606466346421226445929694",
                "77677497008906482281042765799216051596",
                "317545744778840239690693710946737258345",
                "66113412551884860758593155886144883265",
                "321685390925508515961167968136635941029",
                "147758311362612409864812405300991890185",
                "210832084496923855258506611635963979583",
                "211467688799711599022136015938418902035",
                "286072986931409065333502407610208041973",
                "79954265452217897112280930597294883938",
                "26020906011301437027152380138008872489",
                "78428278465270715157193297283204035289",
                "314656383168665449488106275899134852926",
                "8630089987495309808076857741834263630",
                "156132077670339470996179738898066746924",
                "136340240061160399205835316841308266885",
                "291763923966093971612437135094479373821",
                "273629703937676642443535955878663137748",
                "310959008119983877962559345932113219132",
                "128430596581596185493396287050586530153",
                "230749573226190001360354030990722684445",
                "285541469416898696386648900201371829847",
                "320964895572576856725962045754615778938",
                "1914821312666441352070704233387492106",
                "261170702176309312122192978997845954652",
                "328826284162944216865264245702279092214",
                "245023190458860150361608058992176064558",
                "303182482925112866327931412006979969806",
                "294852530441999162141358430593547647067",
                "255775978576786604992117228284824288506",
                "82143351858544323615761283253802608625",
                "81401272657397894756326179195150731054",
                "285520726394505448253988812712752426922",
                "67648692796077695011339184548398241496",
                "208900573370567516463265965130280919211",
                "45365382911423233157963390723318010948",
                "325374598506003553594320115873845430692",
                "54644516603355413450059680915023660399",
                "183537952805463922164190585057075794232",
                "169493353592470402932142720751575211674",
                "301471781765124072385345324525116820824",
                "330514059162200521449892448658535746596",
                "58350599181766777587214935808139503715",
                "262907115802100082112864649322381322525",
                "17599842174927015644295058697049615966",
                "204650510127602790815562349984639891262",
                "177521512438971826713254667196701465414",
                "20275354337680582172327677047259697757",
                "288697033387476906400634554281351571026",
                "72641453677547063364623452065256621163",
                "46102004161763249040193629631952307209",
                "239701813330018670383462097487116586575",
                "60781740064645282294814869399582608384",
                "308012562098417624653855245134885339419",
                "291237615907283769908677110471632179197",
                "318679599043795386218104753637762690525",
                "95562128066247228120321012336090516380",
                "44579495434566519578504702543146376859",
                "126967579598474617110766195407076239471",
                "259399459435789042710365217414959281964",
                "237327589332604313966659362508667472409",
                "87202903635532854994498366351591292730",
                "157781861778470303427358066006857364030",
                "8599554803587304712328679692389001007",
                "113879098500143859345169676949522716294",
                "91691441668843513995324978938163174565",
                "186385331645094041677387005498906129135",
                "243375131616788270939210528095312166959",
                "245023618081955423546892147759582075486",
                "118326306608561537379204748304507345950",
                "129410946090231103607417892535459321634",
                "97791212499061123365494275638544814097",
                "109463962130933956359886131992164520876",
                "296336650356691032263379776710861781834",
                "67270135961569836866035753953698893963",
                "248733568877650457409138189669546021708",
                "116201890789272093987607655041221058661",
                "100899750443186543348612425405830983821",
                "53617453393352813296737522654644632622",
                "81330530891028781817402931681489843959",
                "3371837327640067340294946350400494499",
                "17796507826614466782855810664779568868",
                "62580271877545424223970415641108673353",
                "167227067389969982779935810841925890340",
                "336665616908070692031287408141578294740",
                "271238262747904510335801389911364373363",
                "254106533354534921302474440420079307887",
                "207934605969447130301808463171662878560",
                "179986323205012649869682401623017219817",
                "191165799874271552418458943936137148637",
                "218708054133466946923081727220859736082",
                "15748970373709417566582707869595356088",
                "77740354950161487055137585643577630554",
                "322567140199715361169399704185373963996",
                "254663560296825431575909820295881281196",
                "53498136113856591396861373290502039053",
                "269456329145397462437225743238414844299",
                "340195016768315102282687299463249725297",
                "322605370063588621567694560681691240383",
                "69015316685981276519897049227472311057",
                "293417043425462647633625194865451733698",
                "202758934505363721414335297841994023396",
                "181654592186788006312078064488825566486",
                "326608129938315670053060814509201986435",
                "261054418337733613816498535712274442246",
                "296863529146991257212036202859544784167",
                "20283419710465373020053764380500866679",
                "53913656479756828607546571773707432900",
                "321815961355950059316320136294488860306",
                "300627565133503824053869823554127173170",
                "255929711028909192452570944510408953326",
                "316573864747103328878757715208376749449",
                "328555464055046599358699362771514087736",
                "315858560618171286580035691247867257478",
                "251891969851513626359283354662453563431",
                "156140792398859550493668969242563698459",
                "229495053389268309412704064415679391717",
                "3283865138920445345917624728815577638",
                "152283626045885749522611414256399140451",
                "295393628796332410353159920462115555235",
                "318317617962718232043732617029714204148",
                "87951301595613101435627349095016784304",
                "114696420194882097381589069573203132164",
                "337032125152295627001189346617574002111",
                "109694989542994556338580774626238708835",
                "142915834012516600596325133729214476826",
                "227599119764125417561815598655328805659",
                "299939252450798298638240635423764672363",
                "336270554807084254867218812153323147235",
                "311483194658849582081534318400274121526",
                "75898954863940553801231210623975587837",
                "307458809256643058599229374316787129094",
                "225176382697509398108232919119452009079",
                "18688066726237906411015178464734335395",
                "14683838300920200434991033192551778991",
                "293861029690622120066618138474190124572",
                "290669586293874951841117524264296328729",
                "282985666793363607427658095357099816700",
                "331146369006869624390493077443698091136",
                "163578143447897481428015292831564460372",
                "97276107832257113312991882133716365832",
                "195194074841268123875579233480165484203",
                "74117321965805656190562011942287662609",
                "211970407129750888151167051349414212722",
                "172407708756735100214685530491479576088",
                "18060139879110233486104984852405036703",
                "108891702512861576841820442921852744569",
                "225464780471804851699599971057227464037",
                "109779282592390714099634698617095909888",
                "317964432163149087197534623420870629303",
                "26833995317763466991979550325293060715",
                "171697476732402767181226425998315155588",
                "105465106028897340455197587028707471297",
                "88745439867448161581240800263255631856",
                "145761474928500057723002668761312104387",
                "8930133446228980592021066755278659022",
                "259128381245363732447376219135483034757",
                "261110084910776062414999948610059222850",
                "292893908833513778337338760837580131499",
                "329183742371790710286935087541859496783",
                "163981010066943947547342114792501303217",
                "140156171887758381013518808821002519597",
                "25398213419927665343409686472768262938",
                "34798918383160093298690388686009506645",
                "315678594692203919306201769983004945861",
                "309550893053194628662801973669164115979",
                "275016010150362595142859484386023629988",
                "119605061750087770613184633679887367894",
                "157218824684883208868488771609884438034",
                "326806199571522455748814716889048647259",
                "13130300140888512171543017749898461717",
                "304570568500606933190156962708928154654",
                "167138233148731522495016415838503966681",
                "71055567371244839811728696250980257989",
                "215453743235869926844989023629379499243",
                "225359274626093344644348274979308010071",
                "67483576645777839390901263927574381543",
                "287360435016358423740863622765980721941",
                "303068317673591439855972833378188356431",
                "228964573646520277085739135167996126754",
                "151653603772562613425119447889202333691",
                "34865137100837331712506405152309617093",
                "173678526828734230643432708038747047892",
                "20968542184825255231225020675163411310",
                "266149844361519205312986669453812582745",
                "204503378763229318504625599868493492696",
                "13531747596203968543476696088142158535",
                "183356219689778887143671393072429503370",
                "323852813151002306874875600571112284890",
                "220683907663152260232698319012302095693",
                "338931549901680498679512351752381051928",
                "94036714202161208638327291606782327606",
                "124214669201429326582507175694685394883",
                "108522817351415846841840480034335535993",
                "52479723030126212561741806805143825035",
                "93425835563784089957103489902929133326",
                "134844061549188672300793058677737468484",
                "324884967669625836451660197369522085361",
                "110530191642490424637333039839283504168",
                "139340999759219233645656041117171106364",
                "179000076540835219866304652857061683634",
                "26516900761168565857769518277203058025",
                "277558218707010742973488125152835249021",
                "66068813738264307842793254633321852234",
                "107800418288817273167088380096227389473",
                "204323068256327325985266767792483865112",
                "68519162296100621067898492504135763226",
                "136655013413786584674334145910791597377",
                "293986993774111341630503204666505003497",
                "331967002831960905723075288353257219021",
                "96949704705383865483947210162832836595",
                "309985065383638838947062709306062730522",
                "25913658023087975231904942202218162309",
                "313507151901813806613834374382268322861",
                "172343671569356763715444301620995538004",
                "75332689319585149342855513306496588692",
                "223921307647390826894642852575181618360",
                "43954070763409436099998372165143534962",
                "100018628582749393645705527425328949693",
                "55904543196408675208104716145452474738",
                "140444680317797231984851521567220701419",
                "149363560232435173038296053194934034315",
                "107565486713087440576063610096296572847",
                "44699242334886954364259295250164832187",
                "6285111097567888647193839144436935368",
                "105696759470134563362933046292758713233",
                "208595309907052889204120988610158662658",
                "154480472627014948819875810506803527127",
                "309880717231147146021389353280163019340",
                "216602674977200411749735916653002453687",
                "234001055323681375355495799783047152606",
                "215118935489314454995885377121577083794",
                "299600739613406594411483557612370342076",
                "52529578166453531321952513633643592439",
                "74348424693027858497174663281264658884",
                "48097470996305102534852855862939276219",
                "244969673755886184323113455538866045036",
                "150198004981432537576898320888884687691",
                "148712838317197087155590254434012154510",
                "184036151635577237940669126826758122280",
                "229661670433215994454248125053252263799",
                "300973992705650277787058362828263302872",
                "304593729047059391902868100671443396685",
                "301864877081347290165281618587765820864",
                "331594273992569652295329893616769968924",
                "239264010186727290654079908633302210527",
                "41144409586956208775632095780481745581",
                "42637417070287037851636955670880383194",
                "87981050214764175814888242556814432168",
                "188154536337253958452185103391253946815",
                "35191363039289570134901100776322861137",
                "268976830746108740918869686040414254429",
                "300758383398873789323026975289185113923",
                "243810872174715484212587418474551592824",
                "65301120906268146817546291916742142557",
                "185194862745544030323965577847978950930",
                "282160674849214819445905723660238006185",
                "252286051489852572959873591084301213296",
                "138077133237221609174117973346815781009",
                "66283352037465921680146261907724023622",
                "318172104361895019239535782574247815022",
                "112492003396789519682428803864475605354",
                "110795040866030629594657590919415189921",
                "119075446001598971923144227551973674849",
                "141226396995145489167353813955087801162",
                "139475268669914821209580221582589418477",
                "211228590861589452437098902316422268034",
                "65183823002623026110639901964082348862",
                "269162162881736183694543423385263357151",
                "75084144570227317046774137608952625742",
                "330279079661991208658223506694671337397",
                "289531308749491304246855206097383477026",
                "8974126275616473884355088564024129763",
                "80256940233611924463325622104485919259",
                "179724068920494318135106432852706088894",
                "324467020554717970535002581642340475213",
                "312239496509491150005490681706638539627",
                "53644266083930456198947116820181481871",
                "228230250621442672087373215898158573726",
                "264767411595106883541963169062944694157",
                "18366321640435370161096037804837877654",
                "204402097695864998408499636199007277963",
                "79168646176545618620202665322432280921",
                "175441184344375662658764860801545369815",
                "168956888945732687695487176965409863116",
                "159735243984462464395319338105370298413",
                "314142739076007114542419994492532211133",
                "291060691641110330320148719294301264351",
                "153137957276886560226684230589782196977",
                "108809622672044996206293537551850016334",
                "130483296156453436702432941320718218870",
                "326145963927880316176507523106303644331",
                "196977807381540654444582422528000653030",
                "118777488660674356695296505910546863166",
                "309640745613454438881460156040865225543",
                "212776605193814473742534282287366452907",
                "82308181011508277557829117214058483604",
                "317194744220612232569712833306355199413",
                "27956878270152001205125610210623270828",
                "294000920087660876240083255077328771997",
                "297148344161624071260025064664312480727",
                "215854656117832691658037489212326769218",
                "119489759305272006381930734281552004912",
                "96467008551994140803162264882078679471",
                "217540090422501904444527171899613448621",
                "150506943267287942782235288305225538161",
                "189422490885741713296681667024002029151",
                "326008973712935595224603236557442421280",
                "146533585204140351131708342094317210043",
                "6864141417606766699492314639345179598",
                "84164008158345902683712396573396725670",
                "314110470001306497741234583605482282745",
                "152156934909259777451139242256009483574",
                "245469946178334717506090270212767921187",
                "22695796416173349946994328587365833892",
                "317397088722226637613795757978680932574",
                "51844574890566610417171154753160230390",
                "53745634224116140529552828466716263808",
                "253909246327627029933145373243607166213",
                "43941381745545942737208793946588826842",
                "123814647088111731479770241319842890949",
                "215676198672542936406168896940743924493",
                "97502484762246055848088479051597791909",
                "76842996449432627510747401829439004923",
                "264805947400843524012524564589648126695",
                "191249029106769312189369737299850416777",
                "310473063356767356051571239897053470188",
                "260967233922515423604873186978339067542",
                "81290674569442055021789786691992087580",
                "192557145714713045477522030668352958292",
                "312406463301069282965261351561949827480",
                "126341707935443493778363514419728852221",
                "148662965950419647878493969302007803146",
                "322050664808352983118784989052275077798",
                "229409168371940137595956693818587680136",
                "286704074421021907063175637837049362395",
                "288450165468405996545718689528832538563",
                "266587827226084892709758647835085230081",
                "275599517483128431211386259311850424833",
                "244808911265156081626457877855884520725",
                "258402449951368752423665202534675583914",
                "231282185720380720257799594387838275275",
                "291874198814545367223428624834723516463",
                "256978058680218968808630768855691792028",
                "102022799423708629260487036585528223212",
                "59081888137704033732742941504223565393",
                "271028417938190323127315695866604611497",
                "22951540663537783184893322922751252284",
                "93316978407256627106726613013881747153",
                "219453157732594436355345207811527060954",
                "141713840376828199211076239272377760802",
                "289381794509395317233388379032350138182",
                "60588272413181886991372667120573132904",
                "44164521195224446151795115997520064557",
                "36191103834719478193962395935088472108",
                "279404500328084724678740922403430763766",
                "43993960110136969299143705989454522893",
                "80563993350965299462962491710478183848",
                "119651845294960729436167951199070949907",
                "195734811746431473917488971578115624290",
                "140327976387644074720363350159140188751",
                "8886811259270211879340644265603718869",
                "8311386821607859206849035647284057233",
                "221713737284235203797191700415028847117",
                "108086346399922726470085495771114632308",
                "81907149249883979706846348997532157170",
                "222579747078463097167442007068611240120",
                "258316835709175858330390871354993321002",
                "257910350577485088262905906004734107134",
                "182883217250544190787671117458502176643",
                "196717889436490518700899284535272420157",
                "339931840620314528984420937274483199598",
                "213664630968076029009809956461635610866",
                "201517958365265432440561360906805473240",
                "47491628590191805132789114831004706383",
                "288418920821517436913707659321061922272",
                "301184159704612555820594047065073864122",
                "147429966541591297146249840680247066605",
                "132311875008271864941383445566081133829",
                "313851671001015891495072203668441798340",
                "172673130230421148601928084076151515358",
                "1357911842679838736235995249979897030",
                "138922689547696109871645507033490862237",
                "234870384265646266965820758240798611597",
                "261455526664318656898029363261592138961",
                "153746577616439685946149068352498868121",
                "188863191002338725729849887187783636366",
                "161964256005099689681319443826963675012",
                "180700763637520655164745554039690457754",
                "170318145601741890951697146818763264360",
                "176903668036416218669502563185400389835",
                "2872263559760537122238290378220991803",
                "253168166666617388464040580994318999160",
                "37122267259496950366963820257712282187",
                "137540038283391164939375250356863250395",
                "79594491240917088767472054409658967970",
                "283852191645595653586369682053342192005",
                "197138073259609752552517321687155218936",
                "231278370961259603466279563945971681509",
                "334870003682961381083328306423870320715",
                "33383852099471670341675194099866112729",
                "206487445022168357057485453949185878286",
                "300932836300474872776668236475219114805",
                "145356123258327162635368752612768835657",
                "205597632865610620155580081184850815818",
                "333130033582174221197531784086594844268",
                "306253204149885750784860465714592707028",
                "237649388616064757653442232002729987769",
                "54078206008227529458222783341433291303",
                "84135658189120094709525505429239512044",
                "30028424261210166928604798572067799805",
                "233847531783298782198401996108643947120",
                "254381312270247071935128036347356152083",
                "162951744817063121692919654139517731080",
                "328477900885885748268285873998773608647",
                "139626069497455074018913790011552303754",
                "11103702211767039072498121590732260389",
                "249223087506285767152233431883289589957",
                "254008363783034491707337069196757790939",
                "206127112103190065966824545983605003635",
                "84616410573781464831703698152950766864",
                "85092512433705549623212298821584939137",
                "37968571026736977511008896489828324933",
                "235446173802558352532197572407556815413",
                "236903202675170731773307851559755012482",
                "312772875671691525069898320444920895745",
                "311146767052997888599360435312402286642",
                "279269638082703878517687925449613070547",
                "187633823432796929336786034021095563333",
                "58580332337839804743424355057173989949",
                "294234282071049208852503502465145139206",
                "335700070171602738437187883703568356618",
                "120501000024396751707458546380416958214",
                "133304790382022222088095328502509260330",
                "12528308380455777926145138553250814174",
                "128584591362014812435622898614223704745",
                "287096606448810811755495785856547488020",
                "10986432410378065149345675350128374983",
                "207330105566452687076971487475886799093",
                "31022508735676618692108212508568085121",
                "59576794328043853455464997362675744733",
                "164672673556668913415111234054350287669",
                "328729158230093539017998270203461930640",
                "50435101640746944848735372624754618902",
                "287615597868875295455529005225456084443",
                "313603744938258056107182273397419016712",
                "112129574099439308554620972591938132290",
                "306317932109122633511350618269183470619",
                "315670108094431122734679474656212713785",
                "25505584379374579057479498779123334356",
                "149898766935434534348488475158508159504",
                "103369727059867023545282929460913081876",
                "308954524616094292431701608108681576399",
                "36499685825045264611060036399044453356",
                "118778210289033255190286092698143574607",
                "127507630166284314604968409572383988746",
                "38374001914543471805659454042340934857",
                "237669088984349725492840648325255951145",
                "95900953802136340269392386219128754901",
                "73800802170666509104567111349983832823",
                "62893220829693890462447267757759412086",
                "50415372832626369177135025907175916931",
                "43084871067829707988823570022379493285",
                "280142758282391740146387479656313894910",
                "67100226473210679446020319039221954752",
                "318206910039037815160090969362907276610",
                "279112585846089456339148703349995148297",
                "24604140784530654752777729607978123260",
                "281861985485361341081179043641096651873",
                "173767464128920733073651096159859769031",
                "273747740992315764755253394708407859072",
                "55830629982641034849684992078436053098",
                "160729500344221528423873567706417636609",
                "96543738640979690029848827169533286833",
                "253782396231359939239604969525080122352",
                "40545679562496800028103368578491683581",
                "147996286875505255093023725125873343452",
                "140450295144971682207106883189590147421",
                "159230765491077928774601789965502086233",
                "9480766564465997260693655586411197038",
                "274286170793559917049632312410721096646",
                "157478932993883927734663127062023808850",
                "58855942341350881199845806418144140090",
                "60058051275334172126023302161738209878",
                "96309646376119940575072980655922299261",
                "92844803744552906949924927556751559681",
                "11820906793741666646749961094966335112",
                "197375709288668720917261150792109476639",
                "192251880989788744471869110082603683737",
                "108830768154688906930656984126630075929",
                "173971068370011580146891968011058189538",
                "89555568616913048107136664258944222168",
                "251207888049776480735804027337512285782",
                "288578604973053447633963386339648888095",
                "168436697113454058163292818140579512170",
                "188050727133520199459142047628173273760",
                "70002323089941648187221353273528154936",
                "300615826709948596949613897097565892582",
                "45250504646070610497152579025711717182",
                "18644508655666388150506147371899095285",
                "74099961284307261506256684235021849121",
                "59122201501912527656506410639760150225",
                "129441548591138125465061610846858261764",
                "263484232136808872120048532330560458497",
                "43769787127761399712973504218461656027",
                "217773083770349195129840750401011030322",
                "136394190948441132536774601737597893470",
                "141321683686787795333406986178176035789",
                "26055493711224635278868066703737265730",
                "14192159142893501929147171799278068480",
                "45157898475718793308456737586509633130",
                "70499840870182873700119425829037515371",
                "21933455080398607244998537934207731910",
                "177212994243161870178712961468345609651",
                "282514818303699176055484475683815736274",
                "42123226892798146919589947769222420090",
                "63088962807818733772634173712074591029",
                "251938897896938301292274475781816918542",
                "127725793047854589962377924000437637239",
                "211546469785883019436570845536989837771",
                "237124729657572051760052996742763489939",
                "197532296577503129436973811401850467674",
                "185688517917714696896451459607234345105",
                "285204709061952343676192346223672275265",
                "124692340063241195781965750118973351975",
                "98214486083311792924009441077647782053",
                "132714036029294773405285578731759532024",
                "50083916425969938312365818401093289013",
                "129448203487927816205612252956069386739",
                "132873288056573017902570551346841253453",
                "172932214549198670105115869569059831616",
                "206927336666642346394787082626521293465",
                "289817707748363674793398231399952774303",
                "51190330004171229347315519156470895066",
                "161822586558263545418295355063775133397",
                "41766667844971641266914679764979608653",
                "216232915797504610131906420484017457909",
                "56211057679278574741547150780641611459",
                "54882116058688007637206264566278863511",
                "224670197024908268729019780306186472171",
                "26280355192410114106470736890384936976",
                "275414132550997076915295194288522463823",
                "98733001181081615272351090487265630936",
                "98795280767052355805878023510258297635",
                "20288875134690613965690190151151130948",
                "153014460474907934784588540616485820748",
                "176826884695942738708437497149748530759",
                "283403320697441574779954410161588278681",
                "102709076175948893674010593263983141888",
                "318924161826520426208919647310952019980",
                "110886892278877259219340692553123721669",
                "270502810289944627945574058142545165891",
                "229632745126897670841726756577652488067",
                "194616098879152661824834573884295450865",
                "265713565296390953860895174303309561285",
                "326508564241706138741075882551919743099",
                "249309973581446227948975349408966125335",
                "196337571377123646628365575753983631543",
                "309977424931401062940880202292111044809",
                "273247312326487090780772384081030101773",
                "165469160539579949799155992428258418298",
                "189348318581035351470306012660328338670",
                "327476287302134991076129317287912804246",
                "7628286229715377876057943782022950404",
                "197778730718307495241646136703595129891",
                "300032437574700977291179954760761423827",
                "36266311552208743383897195696836907136",
                "70603860916494323137307757585350327650",
                "310245439555137221329900769158278627958",
                "141100074818102874473739654846169779435",
                "280797309707405692581986785425315023874",
                "223762696915193676152095677215408426943",
                "317255069553366179538552994626614431837",
                "201250778763449446490740969268520904444",
                "288304222145209055295217248813458448154",
                "41912141956661251935514553467179904470",
                "11252049823443345222163376840941559220",
                "241442192251799414414766402783058441281",
                "158426836372588432304081460421012305330",
                "120109651699715634705540831219997955906",
                "118907378889347281485262632742512264686",
                "141427892369801227259748644625004476765",
                "147340635054441931813519245561550227732",
                "141553491682905903902198310941938439319",
                "98548251045326337472883365491355571938",
                "156378415225280628871549066857065318945",
                "181044134292640831744584255297868719994",
                "157350940512887857359995340393284081184",
                "46120384703009657196125408596928791056",
                "204977859087246703347300916708980316865",
                "166216951222219915735573452748625805453",
                "30496657453958138072328124721871670344",
                "296271965823065040812098124946710698867",
                "246635935160424054388778926338652525188",
                "99953221287455923858684664786156964567",
                "257627833686333883651888191626267825965",
                "327805129085329623253731871220226429784",
                "10535219960349938837269981061722271724",
                "200976348924002200566760553141774754920",
                "239351990402461911986912465375352741732",
                "163047034305892131392105460027925613029",
                "251062609399815438258150783114294805655",
                "247905956350196781968923078768699980998",
                "58893549834485466735057749840601122914",
                "270781176797129328633780705120588320456",
                "90816946678132862204135423422003751841",
                "159215395230005948730765297104543506293",
                "58371934773803376889620738839657733598",
                "289428474494400382140369051879648072883",
                "49325672717126948421936480617609263261",
                "70889888822167146615480386676849171541",
                "103963395196034700385848467748223811642",
                "131926752434484486798698269850695759444",
                "161759176557665633365256018534693340352",
                "124401831411205156382090221152303777992",
                "188894987857044585672571014033742330671",
                "304983739420122596227157714545053801808",
                "24328682586347380347246803627319208899",
                "297443535572415382855011808647375359194",
                "27746693623014222568622149842375748827",
                "152321691396112450698804293065634042778",
                "38652635552216452398796982446572082318",
                "223279829857281430372422762863965445563",
                "52520590141772086672627061872660154432",
                "72852663495363079624756865056052776172",
                "54663078266130439394197465201677862526",
                "2107338912789641125058180255787076725",
                "75103276544029732228945032745942401945",
                "152051499822907264845506456197950496552",
                "91189529266803477336953387471102774038",
                "297745719716847382595186298809732501924",
                "143777130578542697731091137167955284744",
                "142820658575597497603648683796554461476",
                "267215440833826795512231169078566565165",
                "72412552644600225735274670734860437091",
                "230592258974654623180929956761146487218",
                "278336998707818579183898326385019537083",
                "188108022261716656312199347336126675239",
                "169524464568777189673705038388326266526",
                "28852598951004894072108449392339548337",
                "142902465753199437949003908643752162916",
                "36090119715408655770636697833058525232",
                "83993879405881372850632132374256671595",
                "152427820454853224447488707918229071708",
                "227820248598617971991350592620195068775",
                "72910421689507452918617828666856572503",
                "157579476751118550110663408005044491515",
                "184984150010520460035612040841233347527",
                "30051445027319548682070863370839291016",
                "33480060650319969560720022074432019121",
                "8687682739736634899688290054388089405",
                "78426781794979810804264477366461805860",
                "195560476239027613346695814616641841384",
                "34517520224787807922486193518642276012",
                "39104487889271952963434515993805060147",
                "88531991015689059950801260755955810110",
                "303422640187328239513211760081329570110",
                "59503829778520651927203424787335658969",
                "221396158881431247906881924210872569481",
                "124587994736603606093550754754633334378",
                "43237137641304887822995315312705157277",
                "168406919731795413620559959675583768016",
                "130379291489013775793262605320862914463",
                "303493101472422470207548754690711078314",
                "84562450483809470272257765418844616172",
                "250436565077959056364284714295588495439",
                "324232245527937312255093018778170209941",
                "73452172955182383394783609314055584649",
                "232834556205448786259622232231421290863",
                "309580882950146946991014419961754238686",
                "211641777446107291240592831879362701644",
                "337639625650320325698553604794190540031",
                "138376721074791390776510447167659758854",
                "65342899229488960371833986549767810478",
                "112354210857938957077517371748750840195",
                "131016035189194848532588336047109741324",
                "144849676555138832503697555327091933106",
                "195903858809883265366035611811219340011",
                "277167084699129241887075072335008275690",
                "117718017133476991179949340556327023292",
                "113026174286898718169291807753897230973",
                "257340040212548357739893546095742659698",
                "81779234796038333117996832082336680858",
                "264113154522898564114880869843004325709",
                "6879487074429034565349049377322384078",
                "291784226360683690172875306652865470801",
                "124680919937021298371437764485656738751",
                "305777623387312570982621970941512134103",
                "250065783899064423268148625799724293761",
                "164770225897171575413057174674926108389",
                "310750690232084546312908697035228889539",
                "24452400693392030853005850135940812750",
                "281176178909507059223444769585069553841",
                "112461578325994552069228799772220682302",
                "222059638902000026528655357718211607922",
                "141457001261403996657513049271117576473",
                "154940027649414385382797794196495695085",
                "88582219266632228910103808814254710432",
                "55626363138376961733775286288821802855",
                "15540145091513137359815474359830487657",
                "284400079910609619086273041582784272807",
                "128911335626547519173771560540265995094",
                "191175690918442014661059619154911783456",
                "62202731942875091020606203452669124049",
                "100727451936841951927146609540405459786",
                "234880351327299092637557704621061668247",
                "276331752042284790738603401874796448200",
                "27698075024632057619137431915443810663",
                "19279766341625356951480588420292855828",
                "101457155609406046315109656325071969405",
                "287358005976464517028298479097454572102",
                "229561384479181900164353331491592587713",
                "114578171237844073400630670918118052316",
                "134196768792426174034468987744020930764",
                "117015731644742086734902641152248867675",
                "125716800409524611063701081416082898545",
                "290881385657334746313739929084086168738",
                "98108653465147062731172772363592633155",
                "330007340779772290452234648686774953237",
                "141983133329497450135223985249308676628",
                "197808569792986936201512344944857259112",
                "203619752774180260594843275625170633501",
                "124025843331529110542331651771554242854",
                "231246921137916139764921530403837523656",
                "92766715124217816993462010614279585249",
                "240635262828789929374695698718803919869",
                "1782473349904373601491125766155050690",
                "268119957295646538422109296752787931422",
                "284211698270187960891607735556354900483",
                "274832058849175009886557210072149876072",
                "222463983207412188492993804493365391999",
                "62624489065340477641824040374554331799",
                "40606325260177558436078388691927923599",
                "41208845525438606527578249546710019578",
                "275220658012890048469051079264812137302",
                "64786883623368295683127213540225730712",
                "335685280730256751864063186869620755739",
                "53626481819542605240682065893815062172",
                "313646236535204297847700168563391830565",
                "13699896555878350488363444220816363678",
                "160329417549110836382128000852330001184",
                "142631345650849127966497582356343374924",
                "29817776110411666272940248470948279030",
                "309412133995422124637683877986561255126",
                "208578987271288848441123200918733414330",
                "299745900207672042814610779284713183390",
                "200031604102663509784821884705819120904",
                "312548668650271606478524197501568460923",
                "180558697906721655905285074458302444023",
                "29598293529508016532804253287817943894",
                "328470350260437364817564297589455415936",
                "249997401600270304281733922518993208127",
                "243556657495031524231965726916941278812",
                "31026464337867845347103181276804554976",
                "141781259266413778102275875567312021223",
                "16512233499372203115640162097875605351",
                "57954301118208263464138820644032175148",
                "195578388797757367082569571910414154980",
                "268670411745840241852554480347388429605",
                "143342252226746279834301917076063524167",
                "244302888731152978384535019673663190320",
                "238861414601068594935205531291654078683",
                "324236230376908816178198256934047013418",
                "42681150418547782798663459419401427",
                "189123864916946565094746209819550764310",
                "19567198455632288064523578429518140140",
                "32491128120400236679104953036306765218",
                "198359337469870820705707036690419515509",
                "34879213880520045383710212826965407255",
                "61950364264519510224593039317443872529",
                "116159969537843966991385656734265712620",
                "53833339634467301926296883367110715529",
                "267946252271189413209788446642508597742",
                "242038280629193527661700242928596381447",
                "271855367482535712314704622342369908722",
                "11800677373481645214605115234834067271",
                "185615596724649243690406287825029513574",
                "257185696073408545190553747153760029842",
                "92155856832732626456092965129519313505",
                "54588671460849697161140540841804498179",
                "214543452600956031911618240205141543639",
                "329805288461290225636152943352836191790",
                "275876778257927936312864809627419242867",
                "109574205010981750473701308632427733880",
                "77100351134493044101264648732917114068",
                "198067976218090459501298302315496689936",
                "254847039256434016872062655748017548906",
                "253328289105074975014198675033026405120",
                "18739310497026368639478521014160584314",
                "187732739137088409027123008587393939490",
                "254178187906947140023878542171071258759",
                "172360294058729662692046934771665023361",
                "23275272649655165144961111936242436736",
                "112860747867791339523560501115682786295",
                "336106553052521428710955891336876748513",
                "200289823722132979271872997219761498192",
                "32576797280431378604332808684590754628",
                "94626721853055217722522733566845100485",
                "52902476745595779385677740105457693441",
                "200781190856459164889282235565070748722",
                "9075421056045126875648242140968378026",
                "50515702441760084669304447183581666041",
                "226003809771872116355970965476439202900",
                "4348052016358694116383177235459847551",
                "87581645479542460998752163935215102781",
                "93252345940712104879601982842255238260",
                "167155947909792386980801301312568609083",
                "225259632014063713931268599601381430465",
                "113972473742809664633326295592319931752",
                "163458647302300228209908763289902120436",
                "204390861703545401202855347325552225088",
                "48825157438412436474046699642676121087",
                "187507987311456953237634882868874211700",
                "94181300107526881529865708286683265101",
                "133520382769271427337287330011968596598",
                "234308651907474379054620360267067634744",
                "91257183452640482278501925541890502666",
                "21465119706036900743062542963885194693",
                "326312721844467226856096389022990507095",
                "111395515396797279249052864174218584812",
                "147413561253158877753172032512141430746",
                "91495682575024014206482347786047114730",
                "157289411718014709042220723066294619292",
                "324247571564957544864503909847419748866",
                "231501372221592633707725760316821516104",
                "128763206871120148730907369892527097161",
                "180501636135410765219025318343318570872",
                "137387174728985194756260756393908188813",
                "293802100489619666066085728205876255431",
                "11176665694933254124361049521963840675",
                "31736567725941186555693412094940513584",
                "122698107116280919405386080074342454336",
                "15846784244077817567463884673356785148",
                "296870808147822326440386706278533803335",
                "19586773719018010072455036055759052216",
                "168880456978562690178124237998823868547",
                "154446810545179096996139481619656781816",
                "221884401888492476421329394782972830030",
                "228527818796610813322605758798033038443",
                "89665036759334553135317402425410746709",
                "286298517491246072123733776433652034179",
                "195465852509720845757658916710503583424",
                "288193019788944379300176197483983661125",
                "21288867144547255569121470904241259160",
                "182713717688408091312077761863728933711",
                "244064915104132679466359367278039307385",
                "308501875651677589703463319842949984535",
                "243192336388791951766301274208811431733",
                "124976779186687844300468457546415639962",
                "1832336658592112041493701203464461192",
                "325051010698541758523926327838558820785",
                "340269511735754779517915919223503598643",
                "88934316965864674568649417015657595124",
                "175670856652665090131925410634239057600",
                "204255415573506179302197269864839285061",
                "276968948975339426000948267474307501417",
                "205559524595864869753636799910049139044",
                "103364374804908887658501186278821303546",
                "216925863235896583650809506744232079764",
                "336072593837660970859916252092746265165",
                "60198814558653420330671951960011199574",
                "19475189918092969578410103157002822765",
                "172061217669906201076839340705960379366",
                "101028794827578625880124470361609219549",
                "181664619933486534962716572425375320279",
                "167473271446172290759202182314678130928",
                "312940883661625893546861612014389595497",
                "298567509370584639676637557644775473279",
                "37021179188915013525494235085115008321",
                "227344793902604302106534522627177144695",
                "2206035878102063009035840058612710181",
                "248547329682032580956355852197521391684",
                "334805433612147996623296100906994709607",
                "87205020281357768081077880821545663008",
                "271177663143847708931655517644202056478",
                "205500516709511072768465797188950695896",
                "194725325510744625818169378261835320294",
                "294029299081422961346795254069690356020",
                "233330645482849210550893217608441367512",
                "94142552366524354577861804466832488877",
                "114170017977400189700132557550890261233",
                "243405040972335229503302181671148682168",
                "318447900136322099146931960993602460880",
                "69743502424219847352933769932122843392",
                "105104541870882731277302756844543704579",
                "166627524050494200295742153837177085763",
                "3069673329238377380588464689891049612",
                "332661589841668565700350552380111404040",
                "77288943298517500337129633195987913612",
                "175861498581962233645478318725547414758",
                "27077456765286525686101094491900084256",
                "56763784949283204965382630487302261083",
                "143036649092852638758700299300662912515",
                "26951776533406339988360280750739518083",
                "193017763480142649048147131863929544429",
                "219438140645601231504708016720945115568",
                "43837741016912444547682580212362252286",
                "94769733564378381911383656812777388350",
                "143297954185092341104808822505264613062",
                "18152498255411088423254900597067430136",
                "87831953351652623002163492227561489703",
                "84929069001602151426607619565889217645",
                "307345403570643616826950724173251926097",
                "221262536885571318318345220750394131852",
                "292607237023121450371932215268035733828",
                "13489498449321912543467287110994448265",
                "297031304632519749506357030678819026978",
                "164752796556385860274175526207131260857",
                "291311864800226198611313884796305819503",
                "324712857297744829440673423100847991798",
                "194722149563792028701585014829601969940",
                "30409151591585883076447858501615025012",
                "295451378169265316178608468921886424434",
                "156273825640133203667827599371919982001",
                "86164187301984583619729504260988605350",
                "70084662167445937149063010380341476237",
                "320263432118549634498186303691505114785",
                "246876525833322012234199235531685046956",
                "218765289956415227497360886485540726676",
                "25787242279108385720170794452322518080",
                "194404615835338368370464883029327756072",
                "154376715255093882811179719675922967296",
                "287861431179049994131384369152106148558",
                "88276200191687403862618289694382305235",
                "279191568701375564246003456083465951555",
                "211636570821734588357094037706319374049",
                "115554027487592539805540338784131831130",
                "28537768434074684460474773467241215614",
                "309822994915379429624081603395120139615",
                "247110217443498806274287106984031408164",
                "210989591994425840257235139704863573274",
                "242487001614344725571179118347322217261",
                "299993063359806959944138472183432720102",
                "151998177516345736789316552362701574712",
                "178577904051422920388765211931982267662",
                "12250374890427897416780319243097830915",
                "94592997587118759821592303332990643942",
                "207279234076343433770279088236039627594",
                "311861653440331523783592108671136772081",
                "14606638431836583177718240902057240839",
                "31308385003956173112429654818510868227",
                "128838286054827687568368171194438922542",
                "248830695335413891115849046476891101844",
                "210109197274517253719125736271904247931",
                "255748866774344764393208180709618694345",
                "152925731540342307585248196451852382802",
                "124902490981729128350464009584451411710",
                "338430556057440538262534280518317800367",
                "19162420624875060044543231835827147360",
                "197356296575959373187655441490966608913",
                "310484460355963179109037015368562912889",
                "93968423995330541579976642302943821660",
                "63226305655421556386390782875050442951",
                "278780190802794158339161655912710708724",
                "133559566539900935923982076804543905186",
                "6664508193543797437588685801308958408",
                "201449956496791044235351735530080126346",
                "224870839157257175071216884447079502551",
                "142472776236828876973735312148249500530",
                "304984420542058622620308743267037261048",
                "13063183960863966327516488343505458171",
                "296402004270069296487847082729558070770",
                "61343665843047353902002297513562297923",
                "334492169798858829449793911442305279284",
                "119947208753420880324071618669695177086",
                "92725407213754907464156042621238079080",
                "269070769131017744268722015950606564887",
                "67357881901547638932144486876534352219",
                "166778798725753914636797964225665288250",
                "26846668450541901834267228979396590743",
                "171752816724426714061401191751358606324",
                "283260070627133779484653334803969166542",
                "327167637781122737241018482688361182508",
                "4058828185264087125252182943590995041",
                "36010093179326651390818443887514094292",
                "262239699338744388416947188711903209874",
                "237140449295760844749782941254172376593",
                "17862295424362242108896895714770480982",
                "51958497653283594024405632421788397380",
                "223112093077193494841085746402235987473",
                "239311446592953613906326857879621274486",
                "33048280062888354215397711209656575680",
                "137660448349701608254152225550629228537",
                "1632620481189340381399467184240944619",
                "49367166591885864375061154692992680586",
                "178669921659455238903721573273548184189",
                "14123179981041570810031983830227166231",
                "128530683367692057089381984685350316106",
                "338449348457249943693226955839771853488",
                "296083030274780894245285680905041545841",
                "275820359592792909585354905458844391116",
                "331739379852353879855358483081522151939",
                "257873727579779291438169528769763007133",
                "46653134903257135641938025761906823767",
                "55437296177897837444193112824239724214",
                "165849624198015601246870166484558514466",
                "129203273994649822737963440645254036329",
                "216439991512857117839421242052353431412",
                "303275448640768147336632788432460410638",
                "241422655065425852297003926299873845740",
                "338216707485408291935108432790999742407",
                "239424644764009240522524418112715996821",
                "244123184327171928033827937283728702303",
                "81304860397083105001276600155457792414",
                "153861626346633465394627825321984173118",
                "139882506615779999049846125147076797862",
                "326403130403841964231911946455192800503",
                "324946485171897686615215601047453852342",
                "82005606928401239987420430461840573298",
                "153360766674494021479408592189230258845",
                "33184275528893581752485406954273110240",
                "58575048903907383614695776227446275162",
                "123482761987094471290313185971096304789",
                "328742858627372228441300553408322302500",
                "325470217368899153200558251557959866311",
                "288579508524109761972084500445635713132",
                "197854329222990251436526218272823974719",
                "71626561622765758776163553167857828464",
                "322279932616751154391924242636324496004",
                "331597106361658589032330837096999322847",
                "577265869563421236041286000230982151",
                "13352658297136418382152460009346425845",
                "153206632418850971309585451556560515112",
                "147826921599733808757793108045548130381",
                "171437677011162472862068950088617544715",
                "258876089894248718336595840909974114581",
                "7492357415711434445628860991802742156",
                "56801395196400420858181307468686930248",
                "232568315651496428741944789870463962941",
                "196010836402549414405576010674157838903",
                "204577814887396386519765649306314385705",
                "54757245670511328699150409942460277135",
                "239935428170947761336208370799117830301",
                "226759152010092194063773357924557033920",
                "128222476402505727067951672902267777735",
                "222511344746368050803067375558480784154",
                "174216726244210146113602044117005811855",
                "58836585294126343463827152995726170712",
                "156608398159356204406231371928922617258",
                "170557431342451822794242314810361941815",
                "230498756099738376471565693167493678820",
                "266084962652904781761435921712070771312",
                "153857331674790808908387158757439194913",
                "308650028643269510603790370485476894471",
                "304047118103548913103778661958844160028",
                "104997831192518773693751460084807541139",
                "239811343946137896789130637622224161906",
                "278199135379917454158279894270415884097",
                "4580879109211571723800370788195993815",
                "39462472474333096459765629721987232131",
                "328595244396467793993770190159608021272",
                "154447022357257871765292219915730159282",
                "8090422368369646235857169625169911428",
                "102718809998123032037498276865510833849",
                "97405868148708493781183858330801100323",
                "322287486450687994875645673846831206082",
                "180329390979332888120144461452479878544",
                "164284556600535608970064962600453103147",
                "15825183251970402047236309312583204871",
                "23744105465095408017620420505970903042",
                "106861560334424504981935244391282188462",
                "310396580834601472768416475490529490130",
                "194031908771271835885778331508172246460",
                "283761302410841106953587394468461896131",
                "46933654706382868215691173509091872639",
                "214193239594213091773650861768023460475",
                "171683761761945492804311953898664807961",
                "82049153585957700845237938449657198731",
                "190358246913682067710105394116575445721",
                "30833800235085388783423578642441064363",
                "226508984699124660337148788469541617490",
                "317077842893184707559767513812384056850",
                "35971430715321786655100146925585547024",
                "95615188518765668340804024454908563217",
                "32660395379752794555767882233794249040",
                "55626259544862891620845269991392094766",
                "79878392464469341091641070966729665685",
                "176792464903809417413860051712109945303",
                "149717443639206891030422086062251429996",
                "205703452444251531219751829555038917831",
                "87391008705202741202747153483658762616",
                "257298958462848153571061216413035799647",
                "26864557034084634175299203561163864723",
                "323016007536069970665733867182964145095",
                "255633346416638441119676567608423179849",
                "273705318962584539662625615349274543107",
                "118807103298761918436936311018638744195",
                "153547813074723179382708271376625624110",
                "96715884323351517054698415298017619876",
                "283684479476591413986128282568063341139",
                "213964982451928322781741124300367677301",
                "36274856808995709100072063589073991595",
                "85733572470650850831804994980571972851",
                "57504045457291920547255518124865068036",
                "263177197793747875959372115608268700182",
                "194819132871579617946214062922226260268",
                "82100888030685485055581215972824960654",
                "212217882801091873984635234817693869356",
                "135178578580981359365007729275329326273",
                "274667537794808517121714633425468185106",
                "143245528049576918719028230305057180150",
                "121329538151389364738335271007319075144",
                "132867799724122981124115996178686338542",
                "140712373456771959383236215036503947237",
                "122871808900934502120804112611847588222",
                "113846764020991191470057307408366147546",
                "97517954810588738554052152761700437784",
                "4631103188736774140461303216105088333",
                "50094046810271962487549783501490934770",
                "106480750322632839070866314843184813088",
                "53490751954392554024214794041412923905",
                "320243208348788804408019060084341810672",
                "7560101463999751055110548541994250998",
                "290637153266057515166755049969588269010",
                "110477295624162685533223794544667225057",
                "151597925000480951464605971361168620379",
                "189136175432351453171395263022836848577",
                "38990942507342018387118478107176058189",
                "286227729893352786206664421625184300050",
                "167218359879376901196940937285075085116",
                "330330346961880193432524005121409489879",
                "294261777053883587864914397508127726455",
                "108450011031714090867907634420413464102",
                "233512965606871166098549523611310627431",
                "338746508407183951258069212538490387929",
                "19420537482849385281424211659355586910",
                "137072972870455789886960463870929101106",
                "22063804646474712451438409238004256570",
                "60001909401985427735547595258060120203",
                "326658281502178933842473391820515240153",
                "263759766675227803972045244961758589971",
                "2261222482211185210479304902245752602",
                "6452050265048892563534313463820651713",
                "77422985319517315035992115842224455563",
                "232438752561658044220455084676813350317",
                "170092642971875212711034053949352090913",
                "103691224085055775886224909603225090852",
                "225064469149909469740213417560781051821",
                "158197085813294301299918945054936000520",
                "85380994556002893295410443763349825394",
                "298410914169726593293559816728112348351",
                "312615167868871517736838161027125245694",
                "168957037636874296785246266943787948034",
                "125331625198671641759397631997036703330",
                "235550892963161402061155411190485467844",
                "253487128010679574218060121211672320201",
                "313168893511654383533031526330288237525",
                "15136283811895252431395088158116648923",
                "99227060040386502029702030715471439145",
                "307875692891257236997605836310921437469",
                "66662524207558647645514519813801789225",
                "10385007022177285176720314626682564544",
                "106876838989219543890293929662242802565",
                "31642316439580117085496400635219814821",
                "206738892297662534812678408860658002993",
                "323864152294673799887987526134959469466",
                "158765047765505893002678748799084156183",
                "325649165509932162196986701990798954513",
                "246526029054336662337538241993286930239",
                "330505863553423126783251696040714128921",
                "237951529574505253129928238199393705567",
                "16822660955331323012334821406227285190",
                "200211347956812381620413026068890617480",
                "302077069430079265403319450386629406082",
                "113027492394364768901926436544251921000",
                "244680516357921655277941956781273598371",
                "120374972465866946612946528167189508782",
                "47049074960267661521563458605682757825",
                "129582035611378832154790776769607206559",
                "49953928465989856892594169033936590131",
                "92065657496214976332836594522054400731",
                "24222999470328247037089978076581797414",
                "210978744604253797306738282995617607436",
                "7377006787570081275411579848388851923",
                "238580950528327560277050835281952277309",
                "329058749742581211556633057229775981701",
                "319619769790581087482981503779228773055",
                "120338274673704603107729090102589003963",
                "46619550087372134571661606340725973069",
                "286865831405155167104043114904506763343",
                "87438497686422950728970869943636889232",
                "259092969202603612153472087974626940704",
                "105570075676159430533093763050622225894",
                "138990757531834111429092492552539128345",
                "210027029736621257935763948124260744104",
                "51856056782015073326115546875483498087",
                "156592244535304353420107972806475762233",
                "320106857204299275400761521187324007991",
                "163992019124972541616968717450577819139",
                "187941452822351490807502778257463802611",
                "56154333438494802272843471733960850362",
                "14198208330732014097281208003554973882",
                "244482897085613584132575704747461376777",
                "60943694052522471495283701565257908067",
                "201338992800281183193952253671552363762",
                "235190816060179217044961604382239955683",
                "268412016938667863459019241438207665132",
                "276657646636764315400820258161896831681",
                "248399763356399899769128506815122793738",
                "315263598061606562723938361781413122775",
                "171387715230916591732320446857626374869",
                "60751042927041916767180135511997264939",
                "121579658521227132587676645967787506909",
                "126937251731672007868105480232812419058",
                "98210517097105069908133108018536860231",
                "237186071166896525036041350295242845933",
                "270807287037904239133608094611678243955",
                "188140124736566148570006196704637387043",
                "313256632263799345120020529352476679071",
                "95496047991115613049619798219105678536",
                "241140248847400418918054230491022051228",
                "84579669060526545860051050691061322021",
                "10624309091131715000956958133619444729",
                "161367589164300575036945369215291634093",
                "248858469257894416472399932635201302708",
                "206186514710282278923949042917975368089",
                "119819317357615580771142701590674871164",
                "131850033812251731270938278308497022410",
                "34010339050268002106844748940388028100",
                "12985627601826079666008641475080892394",
                "14366000559713277889409189967584456865",
                "303577055737268115538036088258715856275",
                "84928668040825504704806032939470402267",
                "260560885677719232555049461923600308832",
                "254583427283299274227869846609166505646",
                "189989168313475960148459897051701049352",
                "17599723233647512412406092071550436921",
                "259987496327556238650614313146818832659",
                "288892945163810508381312628408312614269",
                "301646975245978619481717235602617491810",
                "67547521135706529947051840106366332967",
                "231384058500973480890743896573492316832",
                "175868481383869950068522535635271658386",
                "336865475065262749022550686418934527064",
                "258439073104130822365947553138482069497",
                "232068648750126151778915356435437005766",
                "241923254074078292098453027516708242413",
                "54232833425755918827355406431483250353",
                "148103119904644509404389348491225977971",
                "15143166664481833161483009800534437280",
                "254916839100565337788668785532166406046",
                "233924026147697652343708854258413742938",
                "134388500578409770409658953458510931664",
                "209766416905238431470280266706190095885",
                "273805120695711646234340093530010287059",
                "106206383735730547004355530043509924389",
                "166233035015530964898371826768636865909",
                "187783985356331134467884731102719561083",
                "48531802873841097316855991574715570841",
                "256034572348407455787878670596741728696",
                "147251660051874119970967318570272029679",
                "243386759368192631765927887829877591157",
                "18129754265919054766555280612939322116",
                "217056606980512914386828851492401470142",
                "15995386606325345419762077188898792513",
                "167791893169664043916337470384926095616",
                "339425325414095140880394663083942026454",
                "58749347043580329889943585562480515546",
                "268400580306170025193682000637131092366",
                "107099664797754686304900064492832123925",
                "209035574569196867566548021209700297210",
                "179185290967500498455555103242376615939",
                "168402991633347382827942538393971999605",
                "126258141151773520983004336379904033153",
                "319271433734358747998582435291204497273",
                "105401158566192052493911599552408563257",
                "284479697693260393525619406158506906843",
                "1120580339687866569979874713831427053",
                "236046748135845934373326002722274912470",
                "109373039393778587824193947530264648058",
                "23065447224860282342363069148626355667",
                "278000430082420601043648827633445588734",
                "153389649923791678462462306097227321580",
                "45613435400859988023501053054229538382",
                "192805016495883474644782275637596298260",
                "21749349021061625768668603432627856203",
                "299236586786112146302879653857621618740",
                "150059038831967012173954968154312431999",
                "291759826490687746479031695928539901597",
                "121190760124663865440570130576255065351",
                "87970094498148057203998294437345530583",
                "148710870900480736586538551381947997921",
                "230533538134967650404364254930660704019",
                "289360706968681833473904447883038816756",
                "35012694041185947487813283598759348138",
                "323465740072891662321493047181256351821",
                "176564042276152504459892478285691815323",
                "80454629788664669925141428968137577052",
                "323997447877673345672846539448930704054",
                "77761246062719302353803220525606248415",
                "1511408319049668131701433056849821802",
                "276941976327913272159623087501888991008",
                "246602529603472633952950338129873004099",
                "301801399918576894750548720912447829898",
                "285835531202731901505733851377495461190",
                "236480066159514527092833050967995065278",
                "328653742939542753508366707199533940436",
                "138680010086926992190809669984520878629",
                "154745250628559905156376173070329523019",
                "286296454050651955285813636742386093424",
                "193675215471578863092087147985703194533",
                "75086912717132654597402702035308995324",
                "320955851189841233204661335300184268344",
                "75114682163001688826723139944724029478",
                "183427084484529763796568555118914736051",
                "117579189550870863617113158118135064131",
                "54489809781416654661871014259670404955",
                "135646339471891174281617750134555282241",
                "38611443207052487496268134417939734743",
                "231087411379654441020405068064226039268",
                "240128493732065244158861966906813358888",
                "48485838884918696359328674732172917740",
                "86653587593631065193667116733313440359",
                "296559620672791678666219122794190429812",
                "148541972335493049129701176619622701484",
                "227923966502509092518624627139186191235",
                "124953976373236604660920352786723051697",
                "111498701497367570819545642098118870331",
                "248441093800711987432731895618709137238",
                "13542573683515014805164367453617390882",
                "129306881369844474201287140600420236040",
                "73468552205896154868603267153017911179",
                "168326086380126550440520189926625538705",
                "91534596701948939571901599309930758816",
                "29745984708728713475794412507654649051",
                "339980882500795162466876971691290084046",
                "257585961862656275381673939374235103216",
                "122519196316075595391103901869899917432",
                "45966072395090255179646001484373797720",
                "120344534404598337601954050440849720265",
                "217693705846958023340439400436902530934",
                "62613351800869532010194523285572211179",
                "92904505750160402603765442293958903080",
                "126087679134056469338466898021092934024",
                "56728473588164609940959768871840060955",
                "169900106346359942460829729550165242451",
                "141369382876271121472496847177176023761",
                "93943519061516542698922585846314721619",
                "25982159100028256762349932542280940715",
                "311263532847174389947005972904041123176",
                "249927329529776234227101910530061502343",
                "329469057851800602926053468557941738102",
                "74891985036216438451449462237611953967",
                "281576835802367436023563968023556277070",
                "44602780917671842493442765188948441052",
                "22973577770782260381830173629997381157",
                "213794070785107940262321926931338123019",
                "170731929085479660700725142943614980413",
                "136328119255097517857898089537421582965",
                "67810118813640185174949127991069092577",
                "262706482451613552646249327974578926163",
                "1643021643356236897259289994802815787",
                "217297840426706241255874828282334971469",
                "180157345987911681407343103678304617305",
                "267843287910195863318776752700763948049",
                "530990207418201055430343293948345788",
                "216666218684379417051666772026292495829",
                "91057683958529937539285520372651741261",
                "63467263712900395073875484351192991257",
                "196624701070870380828606723680154960413",
                "179482525953124819603475016720037547255",
                "170125779168203423468598469677667883486",
                "74648100442900789100773404436058496995",
                "288965490716365549217561033263900037523",
                "258439972427467753767984475187109597183",
                "245565652513325501027756494041490995627",
                "280124134900282323468259847200126381672",
                "233515113796049853424092437456396877958",
                "115050457255579342264751430755132531162",
                "309573427173184835966064994284893075176",
                "22261699792756268816810473156513300387",
                "304668777461197516469849305528328909923",
                "251773546933861643419573877804309465749",
                "237138753939648358660850861676565215674",
                "132783523956186597751449386362629085415",
                "66352553266753766433124340885444013081",
                "198049379773969358663461086098441451124",
                "175635316753761974564063461310597097617",
                "179878500207749276501348918833603747670",
                "16813350800920201380675333637533567504",
                "118106612161213259075728221212800752710",
                "8251061472016578748523348322673906880",
                "72493458762802798123319558555855046083",
                "322762913809184236137281215583992265036",
                "248903979166213553187909509700991543547",
                "304771081892905077729857752125550736872",
                "241492504781471508155879014710994500596",
                "90339409004300834723224370403392681453",
                "338063247968723006589895158946639203156",
                "296935799883294824651690943701058559525",
                "146033968668936544042990933516948343330",
                "137978736059029196886291622795364524340",
                "50602510616178957488562550145061490700",
                "65055248871097946552113013180500264539",
                "129881982277937054503758529629935903612",
                "87828325417364860465197571361112102628",
                "138114930149384540889501602328941535970",
                "291518115552131316769012766849244487639",
                "266353522872122961030239690941376661058",
                "163876394977989537922222937741336085995",
                "282297399127659065033624806467701104513",
                "337175559337987774195363199341249326932",
                "11627318244800968737512902509985270131",
                "247634637234049516321839808143435484191",
                "216809342197250277779657585786404872429",
                "249591261438391938454436195898761426432",
                "297769440457644608732978376514568454465",
                "92065224789604390743240020936473822201",
                "162565674124991872996594000512662841604",
                "294778875858221446620150735863313880177",
                "6799141664882836326814771308353610737",
                "211363160113678315265187778920505489356",
                "324294660131905728401080226409886810979",
                "334727785702516887162034402321057399088",
                "76320301033911017465732291324330488324",
                "307621069761811795479586410827104295980",
                "49598712810351945108189425363743460943",
                "305007412977763747128344386915041376080",
                "51621519200053659156990294340878626060",
                "155990653323931755393281995377960395432",
                "304324854644478588116058694905914776544",
                "125518944086778959045030042312190235187",
                "237153338291180188308156483893584997029",
                "42666862108537426064085170556586080094",
                "167280376200512606743237886890876754079",
                "278259322488847344028862008977933226104",
                "139929159766320205848290722317326856891",
                "188931581327294160020671570156502929586",
                "40460486203709073836143939644437485032",
                "327129211668895151942263399948762469936",
                "56985129100597069343065713038326933602",
                "76386258671550770530277809862287239813",
                "176748221292428508099669539914494947884",
                "62646794235816164541025752652925937421",
                "213987611419665705530007725166075249513",
                "137714390735123214281781550516411227854",
                "250150632164398224697583931604133458259",
                "66041007241131810957979589190798029441",
                "279243855131035011354721189094783137057",
                "55401252997999075448959621060117890795",
                "176632175494894654809863735362665607028",
                "316737614890772440229996569744375723656",
                "226695774616292911683891129780312814245",
                "323111322964679939574882796495376128798",
                "147833616673438475815436851118642192552",
                "276874885737428438043962919432800270216",
                "291606561897262564213458565522947737372",
                "325718479159018477007334606406343169461",
                "299930640390767178043334402053860371503",
                "251833399265078207447968065446078267227",
                "96626654999674124332837251688620805275",
                "62501767821696323584377741928550745455",
                "305660971950108229990275073819510471449",
                "260535142376451813367315117015357296108",
                "71379095438794735690998828924697653267",
                "97395277348107072245566378363184200387",
                "42581821374240501582486538200558124694",
                "278765147972406048150182465546174134756",
                "319405921699437568953079946035156664408",
                "318308267440795761530012405715310100271",
                "28676742662830992001573113811842088800",
                "303626972432688424728587686801349090545",
                "252260966806485978103036833517077628263",
                "258348917209833343821613433486232279835",
                "81281932841316571899417460403538180921",
                "109758946110163210827847056260977289553",
                "310986060754678886627125989737763839224",
                "95344222669128462858810325959710196809",
                "104389645240772457542797148980523087047",
                "107055078892390106944968223208106047580",
                "217439992012841935995727427636891461866",
                "214236316944925747335082950601331105985",
                "262341061257884609054301904912968573136",
                "23640833871426335139319061721740170650",
                "267834326510039211899787687971508991617",
                "32372231105919218493789022378080959684",
                "1644512401835079127711589671528065790",
                "88492638536301216287467730483945064649",
                "156974362979249059823736963117306468230",
                "228075562799442107510690888323569340589",
                "73787732312033345892766326404261914383",
                "102699867344372427514390889129327679409",
                "296746677097882110542683475094879093043",
                "96201240284248465816657480767366077043",
                "38272093902849204304303300049252782632",
                "173741237383974593034427403513676182629",
                "84677927381036260460715653000763024616",
                "329659874763656085797028173696126853279",
                "21155311953223763813304592019211988081",
                "66030883370339124192388470410181888766",
                "136742317066946510934083640286497674431",
                "180056852949753344490375483949986302960",
                "323735093086146173824471121809608286352",
                "234841051261765286907627999778899639149",
                "230505565796288647705015345365521460196",
                "27618580467556483436726297940871435158",
                "329547424112328625892819616050547297511",
                "91979487894458021762789527841208479531",
                "17722425990601117416779778399637580024",
                "271123018588792246231825123164349934156",
                "154215767046522802628301836473119166313",
                "71493231047800081720434972335239980005",
                "129594731251159878774021422590755840660",
                "106875152396247036673468756593844633236",
                "203646818212097017617619280621027166382",
                "35884703784539949333371446259815186159",
                "212894809849680131843636310935436832763",
                "266241837175172384587208584255746464498",
                "144660073931931518517756700394204024455",
                "184472872319195523706422778407332466233",
                "74936497821183764627134765844176405386",
                "3359081145157508602273941959678189401",
                "68283733775051335567386766771928798790",
                "257195438886968145655700094211703239370",
                "145747058855028137506374172118432023315",
                "272974324247161897828212833748810354822",
                "7977634215171666563201223692893620845",
                "239151825861513534707567381042797383236",
                "94881281836707465721278917902430172761",
                "106570953622612169952390003208986965121",
                "205402318185393963792366118606111198076",
                "165656881542852388125077790928992039259",
                "266853602511311623523981033060986433380",
                "257659711000197741843519405718053297026",
                "260148908308626518685759643592832891084",
                "226581301053224703935555801130731891228",
                "23475394136914835965995666931715567913",
                "172484858700202086748870684141295271050",
                "112647132914267267696371580482445154577",
                "131288353552794877221538435845877248434",
                "36599190974648901930220244938752640769",
                "204490472699187442798163141967064092867",
                "172880055237503802756004612205885546461",
                "203645884357357473218432460472912620170",
                "331376180858704042883372143687853050311",
                "319889525578995368894825880362193551095",
                "33193831781430803070140344311395283849",
                "285520881851210271089426303067779985001",
                "9085742100353255000244649876614197211",
                "336699854997710314733552776450327327784",
                "87356817791914365847516529630776817256",
                "191460887808701095803663116811241271331",
                "41938985766656391030004926963085433479",
                "8244489634393619400031735982327097959",
                "197451052806644191677170696080883893148",
                "194375870302164089801703596217369539887",
                "53691041788832448467438416460045669378",
                "153584124471912186818858161218962829826",
                "267168187993903170326097621312877803004",
                "141860843844712186402791961078623988674",
                "30101210015275513286077791465250578791",
                "186119286425457936586268457182200752840",
                "257000514757732374971168087485732769793",
                "3617092273380104492534702898462812057",
                "160197995399020465045714186804726092291",
                "334690923187184323058091229414727893690",
                "226145103513473366500624120399893490428",
                "26323649397164343431030024990373963958",
                "180503263864258221038886225052674775184",
                "217302533182544163595144794652313309797",
                "299427102587256474669514782325683978641",
                "301911301171353463967200335032424041039",
                "130250375966738949140359438590689523751",
                "205355287917004849148631415730710849224",
                "186802116357676502410675528111750174422",
                "25972056212662243192654316322427396042",
                "51876646446862358054986006448995309181",
                "127751044711291955683423658877033517204",
                "261419107727642722754558143574141782319",
                "154064711021194618000666067078384105597",
                "84322099326753022840693021906087758965",
                "259589096616535326132901716042943625711",
                "309637734358441279055940639936780467539",
                "139470072124494859600826759940330796536",
                "105802115505264547027671881603429088205",
                "80571177387124149613633778091919515552",
                "266915990877371718122069611031189345129",
                "144252542912682288861949397345974750597",
                "330854569747011379000870275354842039008",
                "151355745994433533583340876462485768447",
                "89793968262536837264010728032570060160",
                "260209365739582058539109573563760558678",
                "7221582422643636463452721702618527635",
                "129762221669260845043285955894462437273",
                "149688041137020852829336234843387686663",
                "104507854179442871653442222886779215099",
                "172304851483915714359053025120874352181",
                "27946303780112985872746314388860346989",
                "67459338992131147027222105139771810983",
                "107570209336117863593212715322063402318",
                "328790575539632878770145875843615647751",
                "311889029021731313852992082208620996083",
                "283464813782789993135758614781244379572",
                "299930767828282769720481918463231828644",
                "280507773945693905788749225458245867721",
                "36949238153211818110050556181430429074",
                "277772822603660596819017099183362489413",
                "18855785170292010268463543366810547900",
                "248287904315162562936223698913356211003",
                "281435002404172122009682606505655501990",
                "27527267412608764490199459209347965704",
                "199897967929518173264628906026615641245",
                "176558125975651114936904044491955806449",
                "138787242561932200140333209571378380543",
                "54907363768839344752212391806077185544",
                "100068701345341870233782830030154375178",
                "165788177849720017566623159137949530905",
                "47966936926394591270228580626797250571",
                "144315764043886401378254567045892030931",
                "66746998672064694093265274527586875611",
                "271298230006868469081345600944992300318",
                "26036710169965941661094179720274168168",
                "272359381326869486291736141011109827048",
                "132944337046879095652718223740446422865",
                "258733958911310685029935657573645773881",
                "310300330522443057307652308435468906783",
                "116570258441450049501746767725083461200",
                "311161273480277046663668759706393322992",
                "190979506629964720572000747483842442331",
                "309532378855005042470442146843062504327",
                "7547990796079802956915945432602432906",
                "21432913718956376134517435324586571408",
                "174905693871041803321630686175447646675",
                "134534695061327852969467337493949100650",
                "218600070830372638434828056330866117028",
                "256764061711267887032080761235544303237",
                "259296822060236662250211336969113698856",
                "119935517678851223643204778524990995312",
                "211776970992712106980133197500018064989",
                "250525259775539722026103476287459115420",
                "122835796643646376644556717849852105984",
                "244600360850793619037718054857682333743",
                "66643617017037845757221141872800113028",
                "125088282078447621458203837851103923799",
                "249876131915250634289883166606385762862",
                "314904033765748209139496744843761123897",
                "75358788124957958327265963487757983469",
                "277741254944516870958348553140086476857",
                "4099659282764333575256902310485583449",
                "334600144150640639630654805576051272993",
                "104502524819579076141075851421061203173",
                "110055012705181829402043042254432111224",
                "157644754638045780011893732234802884409",
                "183462771234937746621017896870261678508",
                "87030013683861608515967135330857855922",
                "80199978519916502860962997197048973329",
                "277306689402003409834937383597239817799",
                "229474135977513992014208345224490696746",
                "18556943545205147846003859158877605988",
                "63022083399312624314819729227410807505",
                "258602469565416010631703535668776424297",
                "225366637897031025317096791819944346134",
                "157879331024653715913111380010046824093",
                "131283316671199482660870972995064288800",
                "61166256268053633200339765249807858840",
                "289574946459730036680224686382490766448",
                "167182766049495134837525960445870070064",
                "96329339578005969824928131497115901136",
                "195396789697369937732711527801633647435",
                "8018048677293434516691327523642715336",
                "245259762623591980551719156283693254658",
                "321332074672228483291887192886826291074",
                "178841816323785282588836338053934933595",
                "8569487632749666906078625951169917086",
                "272240773464673746279795228132260562763",
                "214957665857398370785733233221309402650",
                "207101424271393007585510476844954166497",
                "42160666941824243562509688158776260704",
                "116019153273790237023551636321342340660",
                "22728753269436886219705607380204056745",
                "206048073053088298632088029811424184734",
                "154752392127514500901108840974097223148",
                "275701768520621023345947393979779580429",
                "281142973157329009788506780487332444982",
                "18485965750934107339867739151206344963",
                "95885362591403530654704253912938794305",
                "35899144688274896026466913862470794970",
                "105621699640625298311734046623708919550",
                "89703612749063027289812643857150922493",
                "51194020640992540871441462999800728501",
                "318127090681873218733770062613442278921",
                "107680932152010771444426779239288532296",
                "37060429621306139360847780573347621433",
                "199320190449862225609723874244098718858",
                "156599194938965931644801974385387388406",
                "188363681180555244610438583791178011519",
                "9432910152122677709398187454073583489",
                "240298037056094830656443097711717055284",
                "284997847734650977710070031417366155013",
                "320139051778410299081430985228834772575",
                "39263064815511826991944339139512987812",
                "234604056689404395214711804283535575908",
                "118521063447541004094586970627651906008",
                "276911459105101767221620596161801867535",
                "311108621476074949854452240921108548358",
                "10713922592830828112890574816377686236",
                "126956466318677386176615928350288614452",
                "35064609429626982960581032656037072371",
                "15739928444604194419210012932763952152",
                "252355603617804411974713714288253553918",
                "91354535693913171816192035839472271266",
                "131829052733004904962545022908008260743",
                "170121743407329161668194212038420370962",
                "242384098147755598779929783337654163344",
                "186021120604164220861665644389264103090",
                "94753949088334976618506405008373807187",
                "36138528783595558119197897669012704367",
                "216032778230878261239877077659865704344",
                "155485704615131914804079509034352253965",
                "230889972040041073088884209581327248297",
                "263754604736796832948652832448838033635",
                "289491984046639040260338663606931705102",
                "306539022464895382640997696619428020049",
                "223439821241749902910275232519128459946",
                "188945765330777868920992917715198271620",
                "76072200919557240245960664057087865942",
                "240611187482426026358426763786785701664",
                "297332156030695949742117007364312530443",
                "105053253724076584520694002260045659421",
                "164924990323601151547791848200794882783",
                "1963179266838319619392581213989187380",
                "133979151914387088981925208248452499324",
                "213709990094764939626043674135342502199",
                "92070943889943640748100703406422331910",
                "60308586338768673545322533338866357839",
                "281292639086172190882915965986208296456",
                "232380139670153830109491679635124079652",
                "98378746477610742248165183249357234132",
                "179813326077800586730105141136625460292",
                "101466108005634102173446860903974695578",
                "171665225292426789271039847959114740954",
                "334969047522264881518250589572055275174",
                "47629914418193448914485157375443484860",
                "220982907864181814745760474899823873850",
                "301367694827136259387968734053096037747",
                "100009596695111642481027604411134843691",
                "297261909654829109211633507930358601919",
                "174490933281237829948860719314279060556",
                "44826498857890364912884695281678816702",
                "278039224727038719258719118141251964910",
                "90335581305134669707463247334881914332",
                "320519727906392158121756663024452820555",
                "146862952472050964636771775878616959619",
                "276375071340583512046262862499783181274",
                "180149779908863835530074928498318000524",
                "169480828597237782125224867057749275056",
                "232837768475281579959459202400476752476",
                "125013648861340373925653827814136703007",
                "320086647219983543491084851617214835260",
                "328498609519392795793898849360980419530",
                "335959248731998873205234583983442381873",
                "334586637540238404952234838193088854418",
                "178173165449842706072589547233147334365",
                "60257816865541536829358061389422205768",
                "128161910082246491666328433322120314187",
                "163296767339743953393664703706509199559",
                "173050086662921866703172174063448029698",
                "248500658882599758758939763751867076334",
                "6285209995365530359831532774979543338",
                "174409664214953523784624359011852720027",
                "181572293840392127799699819409368189374",
                "216103955648389257785865872893855999216",
                "230611870992186053503161211287924956967",
                "171063698195976072884506993374520384678",
                "157550403587202819164670743765806194604",
                "301816696596145697147310573286511229307",
                "303759157739457364212980623504197941267",
                "219900909379196843520868561501139391426",
                "332147906941107338718902564098004660179",
                "251382684784366222205724395194882712140",
                "20193830924710817883095379704710581482",
                "213806688429992801369575606536951750513",
                "6201127714580424317535689094794551291",
                "188066356767472483146248647064868181520",
                "25696913055112574981214121467955839441",
                "108593266643577325376653719076213875991",
                "255242580253981629766323859895213997319",
                "144441789134732295925427471150711613178",
                "298846063685700896495385029785878669677",
                "226376340000129074979170032933499473620",
                "4951751325613390008353497122104533230",
                "171639371467605787010243782207032710639",
                "140872875562787055464746771304550103944",
                "327024476219520067369511926298445517044",
                "125275273463627636596739900865862363007",
                "33862728124607187742011132505466595747",
                "309757413778907540373570483502022381472",
                "336531634196872637028316595095973117079",
                "63445789877676456823070424286871530579",
                "56524319564318787598908763015758204454",
                "224934549740779372636278934740385871699",
                "321851267187624988946784452262466753744",
                "36904335939800150697561621494138162777",
                "49408841699240558816716080043693056460",
                "103558106189908921883779255884235014119",
                "209504275062573540113156951497533466227",
                "330272434104947823213394878228816830429",
                "129010028402109919148880345476089539409",
                "219447768397489215966722140463200022195",
                "104751222985707941648239234601355662792",
                "281660211588419839992417017008141369153",
                "270520800798306817140977990981681829828",
                "304788139037188832067171284157848583405",
                "58310210248302838574855426572858279369",
                "120338571661411463373923994279545469127",
                "65523491071194756768078201269350016711",
                "310825894507592515016590974353246129261",
                "325124818790675985708684820162042211051",
                "224434039054807911560679253275556360992",
                "10973032682533242514232794111106693799",
                "35142985940455898005596619353573526966",
                "51267925519855943870940499062826384927",
                "246263482537487410139059384525295978258",
                "102413136404300640487573330949001212932",
                "32341426877515870923899885725245958925",
                "269052682203267690918490973248713698160",
                "20088009400359636656680510065828124570",
                "92126003350214921703020046381581928112",
                "315600694041811614498776376500698407137",
                "295994430064336118041369189690180163615",
                "146451250423177335672473707665702603443",
                "320636006039217789217255001893922854689",
                "77752193774951417848517515386773921502",
                "114012092788682021149153000062280393843",
                "314749466458041096827095511206595209459",
                "34065693459714289414988793028000492091",
                "47684942973003227053447410837114453523",
                "316403204180131860804927624449871184749",
                "73574214661624715042447110947023474606",
                "178533974879640712169726023466938529348",
                "29650265648666336860673124261065630096",
                "219990416943479760879310577217283879608",
                "4391928772199157697190148845741789812",
                "239148954315298432686249518860402422789",
                "333472555780953973861353419173248359717",
                "200657979110378340142477203345629431071",
                "283983010414420063425367681106008180446",
                "140145511419217548954203545977141051441",
                "303838232764790656057833053286793152433",
                "36673771185709450046944770034337115687",
                "254935612993931932303056256000268733814",
                "261834234559054795819396232982257531914",
                "12220350339662196987872067455219714747",
                "164795899394650121745178669528046409412",
                "128467441228541272367199496424691834005",
                "160836540853112579756572554378352312794",
                "179193427282652920336957350919727934181",
                "71246909583786799731047732518439096707",
                "204102359861231289777434976930914877393",
                "212995785243695653945453901690843699582",
                "179312895293524500755877564715882432815",
                "291897539000067460039975484015402185119",
                "305531283120547809688570843091863693322",
                "53664275069955276691007115769989110027",
                "126798868716894100405964440689479634181",
                "110311861188300879293286372074199368861",
                "104441027395095710504215069549223778549",
                "129406967543520950853816636748211859089",
                "94337103640644491837593394985456375986",
                "98183299030162219457816706611672166983",
                "331908447962490001775197149696782059810",
                "319080898855625217487881168029183444960",
                "72446890705614739246498691178557495749",
                "193317006277395289964728919950148021458",
                "328344545672379099367209574593564041238",
                "128093087928258685022703643223650513893",
                "50740518621284653187025946147242040726",
                "183079061550297309414746111315148401540",
                "36649635230571816457938102601408702414",
                "197928188636910830934764253484788432926",
                "174002376309039391590922488452758682364",
                "24565403529725642700762228731975004398",
                "273428675343056729346496794273878689355",
                "273630345163710118481031184893188632577",
                "261687168870969883653468672839437275773",
                "218009514226854954541182467918525002591",
                "202505477170828225073733456525741493494",
                "57982270998787873453533218547937416452",
                "66301831226613848237102042332322971640",
                "171329032860478770237750617636806941231",
                "213766970393042157041724045859490799186",
                "108127960617520702961013382158548277140",
                "155409382313018633895737980935778014858",
                "194362493729938137632861404846031732914",
                "173622719622742845993587189875024649877",
                "31333067482908951918005336834244656072",
                "189174691783449014272121335245806989454",
                "182719501339672057591540233313138534453",
                "122585899007102960007315608515340261654",
                "174146739209132645640960870081934393144",
                "47052519846714504496849396729324771097",
                "130468081250306652246842613903178095765",
                "74797586283961813787409145752781662436",
                "97083103859510714264191066297498040804",
                "227914832133673582824262583342245076506",
                "219513280763079011797426528222939917012",
                "149111616518002765156450833624541862132",
                "41531279915569790815994290452075717015",
                "297755634810875943376238200703240009314",
                "313768335825907187399781981139990673537",
                "42689539890084960441522482714761478358",
                "327350283871562845927763860163632658251",
                "286546708062597014009740558544185396077",
                "260373067609311128269512402838732630822",
                "80469335187712920292432500542061930231",
                "326618185285700199297942275945461724832",
                "248721729170715045763191469415475385483",
                "274057683645791437497631014666458965258",
                "294559792444542952342611088906771674828",
                "63622149485489128293544940214839973325",
                "275599807359245832890221568097381823467",
                "227020387089268301138561554345034660020",
                "124643952295331146848831765420886960568",
                "262532681133234769025639161828715791592",
                "184957858048388014423911922275941084537",
                "171629330877600842134913006585307452686",
                "247139418790247961349661847836331959085",
                "167481327973099786936307056180979957792",
                "101636463046606369685556641426610495496",
                "306148070521854590298859676959217370732",
                "44909263699055877449657089633959012885",
                "44493497285716730099096407884794418069",
                "330180278356192197482945729774496383898",
                "19732757535157418932167286836669654127",
                "166006669210687103455403589129334569672",
                "283511602319537427723385500920501491908",
                "327943162495075187252130367617631582421",
                "317161661305331328273635920879619887243",
                "121022124481839657360446459759635664176",
                "16355808078120731714317909810118413484",
                "58010545531700102484950866572038014866",
                "330373484115065268394147506683471901749",
                "233267452242639245244872815973954179965",
                "54317315131238479206011430560125610523",
                "63441846387475221764279043521943880397",
                "38553482927940019702707834188653911935",
                "189517291171964947022955060336612913659",
                "191028879648990008591696066200830117405",
                "121816829561957531942420645029223509955",
                "226617371016380528258497769252325752344",
                "155207927910706107086216350437736280936",
                "147286596075052677350958769936077727214",
                "316831286435843213951197619334959519224",
                "297346402681122235507710611769936809883",
                "312090435543438502606634647476931912386",
                "255079090128778871987312741996674269287",
                "323709478787553524383370700618803733043",
                "55515913421578509038449838116909406775",
                "14929073945806708305024747830181098163",
                "86898878357669465188961335642961551737",
                "223776149906862679456417103587740009692",
                "285365646122508765762619146442992340490",
                "188993661103308615816425664184823610114",
                "90720979597244095629771018233793470759",
                "237898945038791738337848135908422336845",
                "293530400173567168229286527471897255970",
                "263528135492340359560979583843259126614",
                "208328099072552618250160542472971972989",
                "49532197125527148968360872386086992747",
                "324237263972402553658651917556866975599",
                "179727041158882331121220088980232974638",
                "197339439311491617473874906467125043950",
                "225164477833686967419060867980930746544",
                "173901085545281979938241434363745868438",
                "85584751299645979646124673176704047944",
                "212059210809175805455915831350153354262",
                "212235431037798032913520330098356861833",
                "62676319387881198865087655431896770201",
                "213741172705966982962395748130018387797",
                "131631944610045177719409068324795619238",
                "207058773296642998450454085293248149350",
                "253511766301422159697482720200266874695",
                "30000894490586116034759604600827848602",
                "241728508365828085478804017569078295607",
                "88285612029854105138930133816256351360",
                "280905397554009998515353337439662077379",
                "86323001279030930051579276702950042416",
                "87956438238966829516526241827636763709",
                "215528006245336684523769154609087264736",
                "120556940653264827607450516997685074403",
                "119373499839802403599324696148597047979",
                "185824106293736270136669222335780089582",
                "25691953607753998420839177483678363553",
                "314729858234986903689499562143265411675",
                "334734844905397006899794687886690753785",
                "61631390832820035331174875948155415219",
                "264583985947495995169420011771693699946",
                "32897441970172865699549251526341042658",
                "36432275581944008371911940710929369977",
                "338402829486932521537354527342954198703",
                "204910225087937201946420412301865144779",
                "289394359816234326558069832938454071525",
                "321428031876169600280959222073025201368",
                "43602535733116157333864443319757687095",
                "202740635685353058458406379510050398733",
                "296134986887639878513892122931830446575",
                "237686488250038634478368032940586809238",
                "190069882999925712046592649874193740619",
                "140412801148163167907212893052676212357",
                "211400475993442810924904570561896364029",
                "210371625774094905164602917321281330131",
                "223781087505633052567550769100770587754",
                "257862406495183827564553020563736540974",
                "155739558426829100428701087234774170156",
                "195539702004468609437576971467270951785",
                "91214321298136686054161097622847156594",
                "49583502921246661118160883973320690392",
                "104008126361664807804006221095328256516",
                "208158014334141644541628070425450993864",
                "332678074729132669387601573642371697919",
                "46868871283317811064175392374187650485",
                "59466439486826929864426980669042075754",
                "109320980699849112603558438801316948745",
                "103662626612675431080237027176494827454",
                "206934006611432094953641284699072698504",
                "199059440930681138717143296197840917596",
                "53104734884096451398393196626872315351",
                "188220123175421504258433052127351676864",
                "220137961576093431994831317033544039214",
                "285208150060513139479469215759802105346",
                "322767091134045973466207304795950259136",
                "300237126246657960224658247256854831423",
                "233908001973048697246884296083543116244",
                "283741050496022828426984944439862726100",
                "199738211155036809050052024621490562514",
                "13404793797861035890312680523243699534",
                "228007563027931414441235811757291694226",
                "196661400119284170625036786482753226579",
                "325592797628718361401349823681377857472",
                "96166958611194203547328488695101143611",
                "133101356885373602396093379700872241669",
                "123097268373031719489532373916793901765",
                "236790636290333108001374112674485196808",
                "260653981650019889866527044651430692823",
                "267971231704965567502254086566931654330",
                "235138097089844198738671809762077601797",
                "212624637539829101323323396287067920735",
                "71818900077882305661334217674508984175",
                "205327910707417629573905368095387061996",
                "126450386874566327684916716479148864236",
                "102242677772414934438520328702883871708",
                "40990026591050993762705666449168108343",
                "220401806910143768309072502361207496050",
                "24347910587946373255179706243410820345",
                "271450515613378642094240953678411819404",
                "182195122923058193302578026956370257497",
                "210454782871731943263912442819843770443",
                "26667479912008792348863391007855642896",
                "129964265604681961460410983488392090753",
                "71638252661282566871603517111603286702",
                "80437627178563658009387241196327363373",
                "126055987881907353482842214347314124203",
                "192509775431763634721646626530114333860",
                "174871328102812480114284191824009759271",
                "59956917694192791139414006344500867531",
                "84572956474206815866633785899788225530",
                "166526940509629336504787375486454869992",
                "113853057565957399812773382148658576574",
                "125947051741846208638308706698959166420",
                "275511301304246218726482316618304597349",
                "232578841475096206316120659835362044048",
                "155604169158824123261406745338998457385",
                "67067620894948909697617375237797415245",
                "175412799380288962866546819801694407178",
                "304624100895644841688327659418690166768",
                "24561484379191576769536658788022686086",
                "73331680632035617130163164547227606820",
                "296354671124926363759968389177449739576",
                "331291902211258807851290746299554828573",
                "101130159170531644702764444647498581167",
                "126720876465206978498829832745093594230",
                "117597286919000270388293011546580480828",
                "98453598874644459884732474668370789009",
                "140478345191792307435935813375336344888",
                "330409959245724522992630798009689676",
                "322208171785581504501927304438231473094",
                "155213168209363150611637628612926008392",
                "225252706951524721825977932211574171505",
                "62030104166670126803976982253987891711",
                "339702097524895551387007836241500495052",
                "263349993686400891733896166663868429304",
                "312213170303935520113706580060134335523",
                "292951620858010635423703841511009609484",
                "9979818412499088943134883751623353043",
                "46905687502627527224703343817342353214",
                "336991009271274973729156470812076495011",
                "309504267524923246331051359690482197606",
                "186926954154943089320111892980678342176",
                "158152755519344943671838948482660280629",
                "160489114155891291561653735235924421913",
                "335567740016611379447444725435416741044",
                "135203578846463133255365615735215648645",
                "183061738582825287176296157055892134503",
                "332631417096521655219592619288161433065",
                "164287738531030557189482569741289695772",
                "240047616042627199011653925229771058017",
                "99764465201158158455774434941477734043",
                "141860748772868860459578209800611612680",
                "244893346993003147281979071444175280291",
                "175661135020156842307567084538672787307",
                "325982872062104621288785076470658430859",
                "192930612093171864772647925786619453765",
                "133531608650068060366947337551880407564",
                "174641388436909218255191879922045589831",
                "75345725281531464762754639273406879012",
                "53773324449482286969251978591958176816",
                "115799853054465158630694134469382485215",
                "134482676542564367384685706561205462417",
                "2017335770368041068657012366613766574",
                "325968580294401592222950063610601790663",
                "219936032760192783761175036614121261044",
                "147157861081018158847993177396227455938",
                "148421199583487173524431166058259457206",
                "269867126909773486444687677800724619313",
                "327307589108610651533795061863132957524",
                "72702205011129513876796564645565841317",
                "48790225374297628596870637660175256053",
                "142907219459213804536692271579203112249",
                "12920353058861390405969654415404328508",
                "95804793286056976172622772210562695988",
                "210724401917878850346208039480704696889",
                "139596296068953869628958247895709442158",
                "49152155468865267027959005795158031531",
                "319869086054307538247223905796616556805",
                "118579247489501370734846002213574748698",
                "142919171391434385717326834797662894825",
                "148292849918928849400462823020113228570",
                "239551868000614207538148666344460189605",
                "303754572156363540790696536201434653946",
                "312473990158133468741987250975552981690",
                "42357597836566741065672680624198516556",
                "335346557724956575318450413251075271648",
                "182781725932500523767934382894474606371",
                "232994707093886364788291026697425054487",
                "232757907590662012123954152950441172619",
                "290068417689935177408843678890765887090",
                "274426460373289529470017086593134208269",
                "238027060332225274476017595998620181726",
                "295885105474362933523588125206619188551",
                "198086757287317668342107919028409475379",
                "233785152753059734605654004647869536143",
                "231671152413571928306771748103826937275",
                "94271997567252967045066695667088636496",
                "81794426220867504241417383706269590968",
                "207158016761036327481795936072475960136",
                "44129111951380711841194611674263549880",
                "68809525484431974368258986372468249191",
                "313586330735124361083749964070805410148",
                "264662307124991482631186833963622269482",
                "28165250156732005960304067413238319536",
                "94649653604780387606962177163885855769",
                "339321889877178326394403709654517809241",
                "181105852723866951369720767990219152488",
                "327723429983333538629257932582777606627",
                "66456940956670443216918747057230025555",
                "305489795425965179092030449380181986592",
                "236325633787683331342521013635087528877",
                "239066584456443121332344662509063771",
                "191122907033242758686626972173359586151",
                "3989933224439630136404634299402203308",
                "194371481866608989961492507769343151096",
                "48917598504799854016772646711374027643",
                "237491205631526047488665221890911416749",
                "104151510741235067240685224554141765939",
                "279462016778960418729890794073424357459",
                "234098820862509932300490052153112548054",
                "119202723093828934218972757092657662062",
                "189097710306091564927476815591980974688",
                "65824585135214437336478087193702944257",
                "152296956752405992724524512778007719457",
                "173981533166952943176046950051213856409",
                "288506039658483038414538553644882244719",
                "94605015907482807850732911656025781576",
                "70702923903856320071008248260918350925",
                "239314161232190563000771085178625504566",
                "263920684301624672748694620560422556805",
                "142955476131227497698457401821567939820",
                "22546106383828160105284964628805290731",
                "330785721248812262882468748010861565697",
                "190050030963610910259510395242313421857",
                "55094684638619817905048257536799654989",
                "253243018969772189437632557614401662724",
                "97942808043400958785332957130026254814",
                "50107810583900295917807933475097606227",
                "175915737563925587976081575970650205694",
                "73408874752013422493211750500829594333",
                "176386320655293999304141910240153027783",
                "77398956182183735671905551893134525917",
                "337545123088606863104194465250930574995",
                "111510457767956282767597947094118039883",
                "199135169367548024685197965809150812244",
                "210976256605196334294863235131900596320",
                "181216002994420765487882645721890619568",
                "277585794712517554816182820809086476414",
                "204600268381736518211668726351482475181",
                "289596490288410221757584780675068698031",
                "63689731148517876235070585843344670386",
                "179927340477509245219921536424274280081",
                "278003465352388663714936762801323508680",
                "271045132461797122115720059790521505237",
                "197505816834478759575226333813658639769",
                "220526971800534435467667276136072273235",
                "28921417935237097167699635599366686236",
                "56035763133617912802613116222291447950",
                "45643172536166556910450911499855026923",
                "99917184262991258748210434374034913151",
                "237792240705273165767103801973185772865",
                "234224925778576029966166699612456934545",
                "192395804597388066584963154310787918199",
                "106248092181962927966824423446163425774",
                "184824675228303141014202590301186614747",
                "324751481707770256039900508562941321711",
                "500573742734811925876452489888928946",
                "8949469970104660195128961344671299103",
                "269843786311665118514409639164007924933",
                "263823411508576369845355630924853530829",
                "171608280250628305409038655707867955692",
                "126499463641076604571355160401628971531",
                "217941301399968872905900307301627508538",
                "214135499584695373102842937419467853241",
                "130752495385648167920230612677090890152",
                "175231615192046599673459547844012499566",
                "279623871979014975194226726596408252319",
                "69533695016293803642996338393095345058",
                "102471296832222019481145868821448739373",
                "15935066474754128527077112132294620004",
                "200516323852868203811892546301695031509",
                "279550758751848407855163825642232522755",
                "134857278829120192044324992542002247314",
                "327884972748356210115162765067022743022",
                "271742300713411512896318979851158054972",
                "212278749549706895778240412261169260171",
                "306128623667420730861045155694585316220",
                "108854601222474751176723984481814451773",
                "134870475219780693111890034502599670869",
                "252588705016388613346256514063415609600",
                "169470757598149868833366821547310909936",
                "92296333989330834013896711195366680299",
                "325314222223198736625105148045119670106",
                "122080074880210240822377087394811408265",
                "147744578703766607279683622662821540444",
                "158636659370817841037120473706114912205",
                "273431038237863284121461659342757073134",
                "303787617275825018414848316684832249812",
                "148352449170160283388993987118505827939",
                "147438774124719085883353115538838329928",
                "126352066170938225882579119989566436478",
                "276560304700681660487810949096008832027",
                "79619611081551636098952425358763394636",
                "274970487250204189714488842640554910399",
                "188214805634574676350861950028144064035",
                "95372871902563358755169281049200692454",
                "41957913178900052473642419668017206484",
                "44284187181467876380550402303489336792",
                "127375116945947889502065289762219168923",
                "73219883728176633546237928888573630609",
                "66994034942173513209178603042141812634",
                "142112442366789162102991708688458778539",
                "276327081752313354729519914967984352987",
                "318523259439782874752001897654182872970",
                "96052674219957580109338056205724334368",
                "86064698826246707671513369727927676719",
                "199632227896469308484519415834706483694",
                "215186938791428383966485352864684143798",
                "82787901201277967253290829814400865868",
                "205518407172441074749264077828543068908",
                "256413551712201679939503816008455240041",
                "202193428575004008923181356387890664780",
                "286347839110572343548179556207894848480",
                "96810161645580259928565590479028676186",
                "252773614910629998774887760833515017336",
                "17439954397219053405204592727442409461",
                "164907393712974372030357859548328632735",
                "148160074288431721538353212814306808682",
                "294359490018840968319152680148415683594",
                "69648913728991942142470066092100726076",
                "195668313222047383586876789854654351840",
                "92388786156018831523937461762999328978",
                "59495570422063559338059209786451032482",
                "147186073388564618901614104603051088370",
                "9814786983952867952717814751093718856",
                "107703664941582202556242010561639248294",
                "225834882989183034247010099454343397405",
                "166569047933443371082392941686826762928",
                "152187806012914448055687296293018559315",
                "274953265939542553482942556809346278129",
                "68002169885223640294135449472168070588",
                "235237903459945881907496774104031154101",
                "112614815737428788070756555056552002021",
                "216606633918015049954722179743850368104",
                "252084143991186868692566894304448199308",
                "98792160216428277498426206727995368521",
                "338492882164237954679030012754476329247",
                "196115299543523967214162782807091019107",
                "36132634611972923906019710353812700421",
                "15886522221112918382276144112950327228",
                "9791359250749053002387036974752072711",
                "25503649871715405108110259642907985519",
                "268501526051609417881078288399068500466",
                "192678811519346684216232506645594717097",
                "118017893710383828175256427698048754028",
                "94151973643312964798787078752219664024",
                "182970709546317015385523036469462919871",
                "261028976478913722754088942930767861568",
                "261953208145280011881417764099558857101",
                "70820824848564577941328382669788980055",
                "302371282791856311926529131709081949610",
                "230922698240087782772183009388494752143",
                "338478620597910420709959580993793391434",
                "275922393881580098546759932003221706007",
                "223516368637036044639143766847889935302",
                "26574378581497132158717919692018721181",
                "251714171791110156781379066616193626558",
                "270435749382256470773517620903167627940",
                "322781905100194031490607442554839086294",
                "203079125227806421802672275719616330698",
                "300169365877281041820805336672285530587",
                "5203883965321492914298292709021358069",
                "306923173447233604447194656621937247050",
                "241190722094289130692657338234025276917",
                "164977528213884631056760615208598552763",
                "205710141024273085665650709920621830414",
                "123303574533612914862328844482992835949",
                "115277691939905616802461293775972524421",
                "75043328398661760365051035396367185550",
                "228062222602352796395463943979752371466",
                "317030678678537724332424701941049044578",
                "207918357066028301762559912978331593965",
                "136280863142353110940295998812483212269",
                "123725408328940333950900691627080192177",
                "85686226929538537053375930979861471456",
                "251968699382046359493077696931418333665",
                "227371868014790111197930752714918076062",
                "55128645744043931868549595422129057585",
                "192018873635856200265572695485972544681",
                "180302869438992807883763444264891321608",
                "294285427435008823085167981410508149418",
                "176901557378662723768134471535221553642",
                "249829939505406258124634798354733497642",
                "91247714478204683559849076104029492529",
                "4745134883380097861500853336872743271",
                "158195185784727419667731229205249511472",
                "248302967271405635516986522886833894772",
                "143425944243889720320177044617126547526",
                "58342919780717434895370387347753350303",
                "220199247088794408438017805965707630921",
                "7436294489218010386236723602214772104",
                "102275596394649526713429462340752166173",
                "269623753671282389272273194490060294924",
                "31638776799636046364354053968958434265",
                "306426561548374217239596771482078304597",
                "300379858342458459001081140048910936416",
                "163375951892637340203321681585142819446",
                "297238247260512922365168159570701350843",
                "50045676044365244441262746338442936530",
                "316374327486167486982237374731102270096",
                "119082162958381719390401067310157611205",
                "148449402000796379797633463745207899742",
                "273302516771058924089271659441515011346",
                "230887469828568082145557397006969657369",
                "38807209970971338449320765008289398675",
                "174161843867302765732291297027422036632",
                "329373855693494204267688897406989038320",
                "178399930259268098483140992241071160767",
                "159886117949947150764166892625602183677",
                "62880166382576404529812210755351464177",
                "277278409326198820421301662715313440073",
                "147634869789407352750912255235163367334",
                "42053244042958297715583243656861536971",
                "322780304487645414542659877720967011576",
                "267236503941820239585167135181109716205",
                "293753367159538713006526604354393049063",
                "305775857738563873087088580455523053419",
                "79658803066662867778936308130647900425",
                "196966087679902258625600747286795175233",
                "62203697295182267874948500534054032657",
                "270428963640777524128121958468930536693",
                "114838817789309890371143568138974917084",
                "177192383031565081436987600302133088361",
                "59559604425307861236423907564584147045",
                "327280657562730834760020107092749049439",
                "171793485945821504775040346232198781521",
                "142371401607711171865635456051239086960",
                "121120112492023044094539965619290633325",
                "307276198255702202230624074560199991448",
                "84347947157513370603910285864820476217",
                "12099566430149489325229648155661489361",
                "299260409163396841162257765027632142327",
                "293963913932742445133229351424902616169",
                "199769182110865228521834964504506955576",
                "85917381058945791928270447898209418408",
                "293138604446223285280154384159612899716",
                "201095430480635516154198204856209528419",
                "132004208949327987046755879399312922964",
                "185328555253416834503589305461972821539",
                "320887516734409987666695677051551179526",
                "66773534000739118199670865919135306128",
                "116189929845750320823701008884785361309",
                "199347424373122895538546742411371943825",
                "138709687351760718945156402491060316864",
                "105127577484642849975128903657902909863",
                "206880445705476887045870289593485652887",
                "119124224799933966218709900741937152817",
                "195006521442258441189941806496725856392",
                "237229892667839902135817731639483322004",
                "146977932403340485398034438795303568858",
                "173390167579232250415223461736371004716",
                "225373570590284055627317904471664718368",
                "40398045134378450084902617829681535422",
                "310670623407414891836509059201367818826",
                "114772094365162685102559801873399133300",
                "44931826558408682214593295719516333558",
                "18223891850165693708556192811405397869",
                "54383794902089297639244905982264523479",
                "123401970657776914454994990097088939978",
                "9595279123983670661692848808164857715",
                "243557697233772144388253473824617925819",
                "324719362642720462814104599091018936614",
                "82935652235568013574091872698132752090",
                "167072648341005376649524020807548883284",
                "183805588234376616581393444834790711193",
                "105580239011782968556111704262003927195",
                "339283026392585629146053308904956149210",
                "304480551596467336792661174747928556635",
                "117962691642269919413849766491724415031",
                "103810219837924785340051240475854068248",
                "185427408159853881558681644360070989304",
                "178258242619994510452732482606035332561",
                "275117368834045795785220553379475156061",
                "71082674674738988871082772964731127021",
                "1717933518275209463373639845583214201",
                "65392486503061721447584797800198822873",
                "308738635276500421125978208660503170300",
                "182693707790205470523267658532564626309",
                "76462358080464218624547721106383966489",
                "68660591022606648715682890044058631927",
                "78250199365767698206231826953641453653",
                "335028964386283112010432310496076794631",
                "182656636466087910876631221798545788267",
                "296327210493468613507863680621956070373",
                "19348367245624869878197068453255848034",
                "9901022196497917953513111998536549045",
                "306141205354876226422592742155750316938",
                "4379335494939357947516114678675758283",
                "18587267295565045077200561994796295638",
                "182645802639518841257173509517179367832",
                "60492927767922938461601567942724655635",
                "264799218365326812565308049097471988781",
                "252565137835122553058418738329094350272",
                "168027794692653250228887424805825860893",
                "67027109225140073857987272103912387535",
                "123151504561357339813586198313951210456",
                "94678713531237260774166306056098485869",
                "213764275260702612171694526449673755530",
                "67130032746039980811925863009077570125",
                "324028534364144216426418120559109132707",
                "58557263234765798692575471543925936670",
                "143155177337328886100490420576777338522",
                "22657649369595806070928453003853484524",
                "232461232684360967823617780429949028847",
                "60312586384110078032362925941473139946",
                "227661003014550196683269945777978591991",
                "30348058476818991536759956108753326306",
                "139512182918251793971755526658685944987",
                "338037947638134260656001781436569515467",
                "184881408202422794694945161670092479412",
                "65489525574864734613139849464811072540",
                "36107703787933735274211872106899488324",
                "327720476094234962159083042052746676306",
                "19355170366779994605993923479412178531",
                "47865949454732264759429789191489598228",
                "199057613580227961862060936038113447487",
                "96621859504708307943803371904197438221",
                "88015603487438000499582136002337110370",
                "33130145121057460837351256633323432138",
                "267125627713616934786120876970392784628",
                "189756354725410533212108627072654732068",
                "66576793393268141426502927315182836557",
                "227748232205062929574336553980255104851",
                "3706312365690979754863186591982636820",
                "253531988624658456637498001634333889629",
                "170796395146818717927860893328944473791",
                "21044050949472921346761488559424044946",
                "215788826276117716761032154349476049207",
                "277009998258376314224028953369530104473",
                "123923532106171647765012381669899128766",
                "310458559410522273368038652768711027120",
                "300354116124433943788338102731430293726",
                "251785129592014649321973142238886279962",
                "62749045137405539914073989595648283396",
                "239034070245564996961440855941295490879",
                "62661714737739096983363165416299421687",
                "196219631529151101829915161145796891279",
                "93590637054343301238784590008473846219",
                "192785039578909203292219337901730451889",
                "177420901033199477044428697224138895201",
                "300306632596842871200285165202283132630",
                "29279671785124472166695407745791954952",
                "130962419275110300948783390546111291811",
                "324421183539844565005656720979034326659",
                "184327896048105880892386684145813657247",
                "90966096203194476102379476772248486536",
                "12541311195233790696739808064119848613",
                "79738457629501317827200625215276912864",
                "327354852466087490696742515478455695896",
                "55628380366425230537370121197994089001",
                "126425771056294264414131924924453288999",
                "13286908220752404154096120385439030134",
                "32562278631065494932434953930550949836",
                "155049945476492115901054948065139726963",
                "155030458226342360371134646728885599833",
                "227636079872324941280268221887714981450",
                "102048983013374631562639413350760547078",
                "213660681029070909709806216241297384799",
                "307471223899665920843621773183020569533",
                "110840694468206243757205240712973655688",
                "143010138631145690515167380849244047273",
                "283768272775336133233706470558540249805",
                "133460972111304301072416580087049388357",
                "174932368393452613884087257018957017150",
                "173232277921551554558486319899877032730",
                "100301813275580143529205135928456331601",
                "117318572058469390304993347170512104232",
                "260884079645159490006919018056555723765",
                "335512896432497074038171839161349635043",
                "304056147445248324628366388995645681919",
                "254348839963950144372609408676638136610",
                "300949413003393738464927146836734812112",
                "314302676414165533142582434708613441588",
                "130655962485613313516070220206834501506",
                "47846518775863581649605045046359227448",
                "152592583429772255332773232983321132929",
                "177737755782292500040500584171013479729",
                "324286379638050334061476805770996039102",
                "77629372860700577394373480795410753142",
                "124180095904414668595659122235303104202",
                "60258746729255107818577891948317307423",
                "92446206566075959733125284540970903543",
                "168305251242245961069156450791187871026",
                "84019749225217813011513563922591750583",
                "185078895369639932457012946697433162166",
                "246901327546379429161312198166962805616",
                "130200940204023001900120603961072209554",
                "134846775776166089476160701758295779837",
                "320169552809924820557348626644899745803",
                "320831179022728533919542740511540481324",
                "314875018515039649122443631510019297434",
                "250130280374205086453888478078239496714",
                "211712461326675676932735069363745228058",
                "106915739928900919198810379946189864651",
                "337554125146736369792656518248016663458",
                "207044973436451085499817938254161347273",
                "321253604457609021584508724449310920660",
                "88938500445836047841170750930045773915",
                "27134864979288579075549408420898030944",
                "244298374947052925235574818440180962590",
                "302550240759070320315944365025873248768",
                "158087441668324346971496503197772354321",
                "195877351491793359833413054430412492858",
                "136326012997088113282698341554240199282",
                "252251480925062078516719086151245611321",
                "169096168481127492147550520838757281511",
                "268177037542791516458493367904337938519",
                "48401546137321727701987305038003689428",
                "187865416860808788595216784861474871455",
                "962796638702212806675204687110831627",
                "18374911362859316865702372846921250808",
                "298580053629867591281180211793926622680",
                "99879614301998487548252080376404776524",
                "204049071994634956038412894239693119746",
                "225173518695959050794629605171615208444",
                "94322948433561048049450744373644732832",
                "290689504004813640279764972223525814270",
                "223569760457119351170702507888202793317",
                "316082829081004140884777968887183165171",
                "334373394925673045283551624973793811918",
                "85880014813258351879513873633522577360",
                "24116759506511202708468876404953692493",
                "31958652850344415067795527343409135507",
                "82916792367115814860782693373257765484",
                "204954454926815501020535923866688695384",
                "55842155122939856787636566581175711793",
                "290898974021241494819464787821646179020",
                "246932900556104417168032715574533539075",
                "303784138790150367051597733024110822635",
                "2188474443971200060707721048467504313",
                "106379297767775307599107848717891651903",
                "15891263899515666719970687205476919509",
                "114755997015536683304706279050225915325",
                "321580313916346041224276584308686009575",
                "164588819339516258676068820105238804031",
                "101855378631143442512364673730903585614",
                "97796692207391167422000513045754172433",
                "260637415908408870731772324343493257128",
                "234557681071659612336429565757088431060",
                "181841875803844390905824003615687577380",
                "219530606129185876994860194396718965150",
                "45259771913459710719249162672905145725",
                "119114531716925681577369354937917506623",
                "264267743885058629380169344115257475805",
                "93860477717753687281165877182758654347",
                "239338607905302498769559057170930868431",
                "304923159965533585550982390702316688438",
                "243424890454874643859620340512702493378",
                "148887090818718935672270495463396385223",
                "331535306413123278743472280694877402341",
                "193597169848910785669088129862499842480",
                "93087136842469410532126458282315828224",
                "72059392618540302643106364315279137251",
                "119593026543692267962054475583698597597",
                "236522839182611351102963253889173698966",
                "153904928519588585652826637053239008055",
                "9686757670446953714312616441988894864",
                "243807226586873113452678843627895975939",
                "66386367858192613421486113885469280822",
                "62565540793428483808333313232002594316",
                "37206330393004822581050215800008448032",
                "284770551887251199072792609269424872973",
                "69116206295338546857450416520054091518",
                "3628768726552981665289189923819067543",
                "103290574239092805432918642689242589584",
                "248722485312765419991976906573924276798",
                "279425079681338171243283447941026980864",
                "163863126187854093993060642503752291331",
                "304333172344146538346526304952314595285",
                "321144999354315687065578092925168042191",
                "322880478874509797534925754661113208660",
                "128598630000996083745435004353974730909",
                "37674676890919321614003854543962715003",
                "81588435215950842238946551389479973527",
                "31028613348607264249614943685279337156",
                "55715264948135135366965512883113579239",
                "169161672373752208614387537743817007230",
                "25414206151660019954537562023823327372",
                "311662737468736339237810301479188052454",
                "265336879501437658543514605004109473377",
                "202190628479710576089183657583619057511",
                "178577399891546197257948672156745877694",
                "166185948459901331329415779782701584568",
                "37852616341170291766791231633039178212",
                "258431093683300167694423883041759228879",
                "204230972614463268825273378466371366090",
                "215379930589710045215292450826887367853",
                "83250726497986970816961360180369432289",
                "56942186730473531579177054633269195498",
                "116944474248126819473978174643590685912",
                "220983743290999121634802594153231301828",
                "317398351258822090994033001329272841000",
                "292859995272009060541200674589280467755",
                "53449135209926343164302706555450327857",
                "189183012041741043088335782258327773581",
                "295868602118571189576001860766529182766",
                "229210475759717319133638638021911054378",
                "157077495254644714962943671191814797926",
                "18771639008163395721669379484214137587",
                "320617136952768269353317787369809365119",
                "58654981574611842110119811912534562619",
                "245632866697420528834172768711986143163",
                "72639260323306859382241498884015334132",
                "202008631304734461322026524753368665669",
                "226678416954165544469601177152165574929",
                "5369853660614221003362840541206025381",
                "250773707241703547385147509938818846570",
                "241528289725353112758930181289427901482",
                "227383336630665647122095333405834583693",
                "268196981107126900929836430081950984827",
                "253566002771811426310216529674566500194",
                "219860445721349364129034002400197970561",
                "301168946170433896504250661204150303292",
                "154649970156982767798577564868254107196",
                "112715885825847282013107522826680123902",
                "191550470339706941939800585292883137366",
                "314210177462808684998021351468983377171",
                "243172380574956677099953061886437700385",
                "291845123144532224539035505601759811465",
                "260411021431788691071587938249838787040",
                "36357410253773987051313386118286377881",
                "76160204214705658062982926707298022750",
                "81699958076617598761248159111562542518",
                "27206066046604105055138625516520814350",
                "269686468850739707505609711438074056879",
                "169642379484051789182438119704181822054",
                "46155256478702887274703734519689429750",
                "134493399240922729863761323209894304470",
                "316290063999468958815636076858296387203",
                "262267855774369556678439819562776890828",
                "193653576037258607833788812344861002535",
                "172722214913132764484435245589144765775",
                "319548763409148472507587773856148696295",
                "139195095460354078835283219641953197290",
                "278417875092177267338683846807412713879",
                "43736416267451289296784060383673812831",
                "259076128946501109410681613776291016933",
                "130436808673425706784714232509939657667",
                "220140662251735504462576228264172726380",
                "185622509387928212255682714172155536926",
                "245209714443938276855760065254331170975",
                "162766698355635025679308829098182475369",
                "94733198435540497413194357685244393655",
                "296721181561295105786575589898251446350",
                "241323238450338984441992337665584537434",
                "282983182717959672281877661308065249188",
                "107672444523897426378370371124441327121",
                "314948158865786494240213659385858163741",
                "61757111466663401334956243176856492941",
                "25074291455618486884662561545029444324",
                "8102781767299301256359872476299638390",
                "325185124604825016345156639701132832756",
                "254540800144471560185626215391056441343",
                "256686484622757593913203700193406645379",
                "77539954156805051210380947258189968379",
                "225077307781240396432819212495924039049",
                "273890486164114389406526885102809799670",
                "210764166115643974281130759636064982514",
                "86573433501313789021110834322329830276",
                "115374645054154042729433615628965454441",
                "56123840310799373538267620902539301191",
                "37533174960147629939381832904743674514",
                "117080738558516815739614821726967876816",
                "334847868659580426029347520018870855939",
                "69110170368920868726835452799818056443",
                "181706101529939570292086175179809611304",
                "9209880382076766776080137435018473929",
                "22145942787219538584066507460670366466",
                "239978288956967446103396014697836334311",
                "245114447735032545503360767279457852579",
                "37378181268770475013723371086902485771",
                "35243178802050778672916200162428996120",
                "32463972697578279128685905959221309539",
                "191250088991027942327247482918654314092",
                "338818058936065411024582715917102720045",
                "277913432128396401749638280453510095703",
                "117927961571660408485890189922330485635",
                "325067088766197767441988690903076174257",
                "203071377561124632699179969786693176268",
                "30602833728023896091331886428709986464",
                "217876580499094726787270741346746263893",
                "7544726596157458790042843463927337028",
                "316001092175581915304237595650476346206",
                "93035494088531955308755230359346047804",
                "193159360622716061266089335370257082554",
                "231514491743224475430832908062351198643",
                "187083253367357973260261849453464391816",
                "131307654517195745682730303316246958153",
                "151467238740099820456954046111455161340",
                "72935250956540859765982613827247169497",
                "29332340290529377876874283866914788114",
                "13355509482178451379872275538657843076",
                "115114708127701265965486501157098139648",
                "123817076108196637873644560191922146264",
                "111418358103512332906320498005191476706",
                "1993943642598233932778717100384517978",
                "254158133957737398844466564984141274891",
                "108854462739378024840556349401714753519",
                "232786129521598234249104532561845815288",
                "47759931855315640194137285532917162967",
                "61456201124763015355573939903413523984",
                "323608894698211726860105181908054303587",
                "224629528493714100029976290800138701906",
                "11360316258389130497910465176484819896",
                "234612288940548930796511705285167413132",
                "193735281230875857232412168035647236248",
                "87084394479655243973447657287923287554",
                "34088926196002768741017622020117347285",
                "217594898515761695126462631321222738423",
                "274201648339057567818361043778596196673",
                "73269854952460549146568722074561893745",
                "190234007570450190677749994156960605743",
                "31515578279737362624374948835145232993",
                "253014121300615602057944986545840656588",
                "150495040660113951683954215457976136689",
                "73191432477940791975811794360321326887",
                "9247414682840678944074236236898338182",
                "298384416192097306224720603526501861504",
                "183293049522095891548146351910081750975",
                "55356377854274372054874470066668554013",
                "168949968661600332766010574415314509921",
                "244051277867992602442588670725230254949",
                "25856708608619187829702248518324333277",
                "126226839354233475950123048507562701714",
                "169805564238405516203427449101562425475",
                "99965868818611135167288745057586621678",
                "218694380465446572422440538560214053304",
                "257302287788105653958187241671649994695",
                "30031615153563559033501048086118904077",
                "314511612663587827737376396914896134529",
                "161913032279036442513889328027396044672",
                "77145896557039943141989087947704905007",
                "207423340726559028003715134050758127340",
                "44933634695909784614561380434332228919",
                "213363605348295615151609144931547888163",
                "144399156243776366420015402071388143513",
                "197408911276709233803169629890821054411",
                "311479712239063572715894774336309277708",
                "143411442719020055468579399036988338246",
                "235855472111289894195520895230228512139",
                "292676549863104486281004800947916183359",
                "108449945254295506738681702181572615823",
                "292433860127370154963310293721062216575",
                "189356001447384616418078880047619907013",
                "259303536378121245027628826294403833232",
                "44865032175092169677103966583427754948",
                "24868449941165260647642242699088406537",
                "22205957210540882068555167411665733863",
                "54325803814408313806712094596431175799",
                "27944929202135441900401583177845547746",
                "151089881055018953978220261701225281723",
                "251188595938584296710971181713086986165",
                "149859272670496499323641943832320967524",
                "251596219993331312330853770592175462437",
                "253073123509920899646924714992075748140",
                "253944742109581381516770528676038813701",
                "156354557114025021540851431332319783956",
                "247646939552403450375897225130301704851",
                "113643836513641570725024907508284593001",
                "278451460979496173520278508749337869707",
                "145506692600850808118301127532137112431",
                "71934562033687599724082284626954111124",
                "235402183993316805293823350417097628475",
                "272609773021526512578307032597516924605",
                "301100953249748064347020635762774355346",
                "286034249945170042909421199764752161064",
                "24847582553048697974539788917506392026",
                "56353212252275567886920959257040911348",
                "337444992032640330001266270563089827882",
                "230574808750814926966816245001656490173",
                "149882376868821861893581336470289798145",
                "245482303204257309974115198622683134532",
                "229019924069264093575059657652250682997",
                "22332980009993407193122908438651784326",
                "96514763746163246150872478945800117819",
                "203707439904423158842773411131498760015",
                "271873536553759451412670834821792834003",
                "310246285451056497895692045683398791979",
                "14826474070663747089403589916192133085",
                "217634620343121661062652264774407317196",
                "148060982954554319421191395506874077257",
                "245969691990084735137201512958165057877",
                "109443895639382159856170098004924400737",
                "109186001753834813821225173164439214851",
                "177819548420564262038338924584689945481",
                "86737146544032029846682283394015908614",
                "34994151601304364129397821251850336200",
                "93137326051106578710281833381194902559",
                "279296204675804896359504126438218416426",
                "280037637781498688655973023453515346176",
                "264010592183353950072566498088023712244",
                "123435223596753870231649019398082219398",
                "167685561559494859747116992181935498104",
                "249185728727237092677683688048543685255",
                "301946856601375767603911307725695071461",
                "144634731470947804288152074165735156686",
                "315524561502364891893683106213025797766",
                "126811530150170715239875249314626415663",
                "287840170993134624222997893722765454560",
                "115971227430518638940721909737589287316",
                "98421450197676133415684166170856678810",
                "51069949259455302518483972970911405635",
                "286751477110564889673337319744462059084",
                "216922796201154387242758100267670278290",
                "264217527957632536939532380581489486493",
                "162311935447208701717940607794693564875",
                "278528023109660550927387558148837780090",
                "16718585325843684346991614745381841316",
                "16688702196156562629328347604859116326",
                "115051943038009961573732918370348957854",
                "257402297489763127066745634197276305828",
                "263150544520559822437331685346083673879",
                "156803058417620957220458431743888546845",
                "333213526117182303872123911988243171119",
                "145830746617685308459194273446488286005",
                "230835800666216334030811661205081830731",
                "78178185328186835023714977129542514416",
                "133000228499012044849681220245238426434",
                "62272275117752115111069008281367162638",
                "237614493134819604062277345567931945655",
                "241077508217531283806144154149746082990",
                "153581869416478724539145967825549260910",
                "187314698899035471172151984053218145591",
                "8829603325057524780871481750259846851",
                "65940330321939345182504853223105893040",
                "317256938020024548741190697677026027082",
                "292947361285016987532052644304333246887",
                "142248174070654940980839573583507187500",
                "266839376191270647438870936733915133979",
                "136883905581163955684548287207138014660",
                "261533885724176399847727949354136107589",
                "187532576374526036601925273633445511703",
                "253109938171887337317035763413300201236",
                "108161946951844960522127254722407788928",
                "102771877422035605171116468723020684067",
                "297196530227404411559265954673648592716",
                "67538169835726308628760884123423747493",
                "125233550328261447531727906989870374659",
                "147438716438109424551172543459160827095",
                "93107796361947374298778254284841189655",
                "286815986223071995163877604368650126260",
                "239596034145748191771766570794819751071",
                "78164566222181316875646774522350910951",
                "251014789727387285796764093106577061223",
                "218680801913460582964691568586646432735",
                "97006907085346715797327267887251609870",
                "185260749390120102417089191306019395811",
                "86719432346728130912740602374153505559",
                "251536469373921186916821256787100390482",
                "301076478363359016682405647988512369648",
                "177602930812203160408217263943320923797",
                "10520287512799073396629379124160208867",
                "158923832423496906143787234741497319822",
                "153630096394875242957352299075778099915",
                "136884540797346749527350577750617931926",
                "126479559919637638453025396845673829836",
                "19948071201290537938570625941906932294",
                "336661228406819499800541927888235939733",
                "9243104010109507372697142934284010269",
                "146482877331062384495553394435425303204",
                "164384623312299784232874149940693151369",
                "68627559310233483295541095465410665328",
                "204328431584622417652067282957134526713",
                "201415691048773933888986590121289865152",
                "91746839349007669687049642129650152443",
                "70264380601882772920207442005382113085",
                "308909724158666982345467230018622071942",
                "273142108646802396337965080262179279265",
                "7580929985234445658887223501448489453",
                "260176952070490854815737824999605061013",
                "264116567248535078427386887968458703557",
                "163300731167248828163976409539370290539",
                "273088839056844217334483514721340108369",
                "228864172671206957609016017374518385990",
                "149610114041811334672020420692628670536",
                "273593070767079807861786244445094689320",
                "143126740698256097508761891543084532712",
                "289820553019380448767713053524874695691",
                "39995500426308156633193108431867815390",
                "311981369516737489970087043849359772105",
                "176330493673097478605465860633177536547",
                "35503369775205426628395447524387852141",
                "74391335880674280180849181274884136893",
                "294052035814242575948286975113139389011",
                "30588461708632020345196355174711223678",
                "78897408031376051925402675939853167991",
                "325751973905625961829569417681077308910",
                "118831162798220480622037781891217315938",
                "83306624716741768082297498767036265158",
                "113643822646140937554129969117796562543",
                "332838532441381882298076228356300784123",
                "94364443120049708405481183779213091603",
                "115305186666322835926472367013453748447",
                "284985862880668639598549524706785462580",
                "277114255907683886223817261429968035857",
                "118200340193167343890617550952205227429",
                "109040085939919054790368078142077567496",
                "126300814772652920700797703343346941435",
                "278169447181461724002311015340453705714",
                "120267695898963894332364896144121201135",
                "339070963039770947748882783853751708808",
                "198732694503258425223014391734097295478",
                "222417699348709840308936479231796091148",
                "301387609255091480530779111721667194883",
                "192505165199716894398390688489265056368",
                "325620575142047820819618391206360378388",
                "19984022876110237578600129584692888860",
                "208549754615698119193068532768390094272",
                "36367281180245027072816487946280488205",
                "123526460878371755590476605555091108509",
                "40589808801454092990016696295629941761",
                "93570142084759292593126242522387912807",
                "160103790512665624001917240169973593345",
                "209138633853855087701945436006749238118",
                "244301110364779094865242207113318142284",
                "87664086226659036206358774810836257137",
                "257210569947118815569631639746993808266",
                "311495865451112708661645974131925785716",
                "53444361944789174326833266330108476924",
                "208276877590140810213171437680014817133",
                "62578015548551624462984153675752429599",
                "69800834295961818418698623989881720746",
                "188039082463928027176853662808109188010",
                "203353628214149842370105201688834658658",
                "30210825131250168488493071718484044814",
                "6473772293568051830856014192460420496",
                "232702036240783913039445111265590008391",
                "314971906563698356205983994040608908463",
                "312428647408303770201067527126233320518",
                "176907657868156626157423908644483942736",
                "265455787216235669010128958554841886721",
                "47087940928023943858450423348760747426",
                "334703025574350422416773791150355269472",
                "244968612942391210808248363942864792142",
                "134688489867946551122341523086269142468",
                "59279907862012361191232569716460494413",
                "91417878355249396787812605256712177552",
                "185888791993457198383745975061750330212",
                "182351081078131551628924296893274698153",
                "326259693090580714772266849972059968252",
                "181087069608068093531779461691800997904",
                "41013605743096343512923605224467924159",
                "97231507497965276918408042184215964924",
                "205454448120310233272548683278882375602",
                "222183943025678140645929196730711301127",
                "290570385365227559504381692268895336281",
                "311585440149526204666750078244053425229",
                "97497461440437480179172617842147005955",
                "286271509108198369825227825849960171106",
                "188281775464323781794926265915932826391",
                "214494868116289272984115734381517356785",
                "314907093258729289853126888017898523169",
                "181854352713289963772465749699080503959",
                "147134114178702609255002460341791079573",
                "198279557461105607919180793025437084193",
                "167629534407922901443842912022829642346",
                "90390945636219078609826222066747850287",
                "193232559693190237015639683884692638576",
                "127037883548295362097289755670378808083",
                "215025727676552155790292133307632698707",
                "246626276515613389033145720256062034974",
                "90077411130057871453191652492890427640",
                "59169554317316263539075045355900851880",
                "321204389092643835403590100634985459980",
                "237799693574327409871070810238022368773",
                "154873991869345690923184681494455608046",
                "322323845241922482204359619710473506439",
                "252259997227672015877454029593364969849",
                "76874833757551072983510888400939973679",
                "243867097756475361767232011336339637167",
                "13092153799725020797875248491549560890",
                "312380462740159185161827407235200270700",
                "317952354339426568610075392160555362923",
                "256029059654548125970821016491705958837",
                "224375051404894971703007895034459619991",
                "258561351816014605917517628919103359729",
                "304568674280011360038500277758878939687",
                "114247665716005649203746682851264366133",
                "93224445991245638827171569764465428471",
                "46779420106778771097721778378669190230",
                "216198574415546082284293005570951736934",
                "5393432657561744085084214861836558016",
                "37306017492057860164267651212731480389",
                "149340513740774143259199930111802470900",
                "76544331199822964391935427236774925778",
                "84850398891090647691248827976637982756",
                "278903579331110307205347278317072953745",
                "133540700579093974644455775846129556302",
                "104623346387644376745337510222717028913",
                "228851125814647240200586201028630494208",
                "9826340496303028750893635560969621977",
                "234533072845313254733941819102564425764",
                "196139902338909174484785403563872744894",
                "229527627213837808580233395880169458200",
                "296268554898481260516887394244608246928",
                "114860671514991421087518809536043637461",
                "32929701121159667573856670795578601115",
                "336666488092664471208110801800700700872",
                "38030905413532688303350191208919316227",
                "162259532657415088323422318185052284248",
                "106017141583022091995437926253419428729",
                "205569239884670862984774019855649444061",
                "183628291307817217861883408185802489829",
                "82225779141459548223182236846160392860",
                "6710227368576797092704762126150303263",
                "136055553605479538899501187390279842554",
                "288312720673975434251155980663817359354",
                "298539832868896659128091277280946638993",
                "74070245883032781313385802107733868577",
                "55851461734170922802848977746695046791",
                "152117318197701454242104110748126179501",
                "326522986103027506035781114962063407532",
                "224397355457803695261769433760333198304",
                "30843757311999572983780359913927576017",
                "158454118844799280551791544734173930657",
                "190628588463663411834100372472598405621",
                "170440619413684831167539985788246083667",
                "237065893105591425462515305902602888864",
                "213894140615736799387741632416855775077",
                "109135207233948740363005640194003363821",
                "77485948121146673938503478831725181419",
                "200645786075679269054595234369926998193",
                "267572815612861057660982901784165298020",
                "45943241899050083258466158792864647040",
                "325261723051826457176029346354752763004",
                "297565005517924221220622959420225487261",
                "219691664132589214205999280277186752928",
                "298146251045242114137008905596958918258",
                "151247056057114747654997832205188720227",
                "42270269115387188741633234296331026451",
                "247613191113528393278670259919340085988",
                "125191565600552854168523857752426101282",
                "232207743425808124100706687992500452938",
                "57224277286376756973992798236220857300",
                "213328696427757471505659584896738219688",
                "239726597838915010342909111415122193006",
                "162801382367220465586742545928420398624",
                "241077968737678317654732211661003582663",
                "17909805395926027360014377760838058892",
                "338188857592625706749648919921194316867",
                "142137268319291906504348781149616818697",
                "200483069922921688879373966585254102255",
                "121232504960341969720444547578578027090",
                "339591849447796019336850824397466354130",
                "185654762937953403384081444290894974585",
                "89254890937526771686225772239909826819",
                "37112817917844740731366186576925208431",
                "188580679247574518079355061346778263012",
                "174974946743741489640309901222722796130",
                "90572073887808718170912225093090012046",
                "44231422067212435801986501793671009400",
                "215315447512472980605284149875216270552",
                "146101172771452385251220785761936286005",
                "132615000162272390692395448508296830059",
                "295750348281816942537376470358379006588",
                "254553751709002777275121448780056803379",
                "38474808474215568220399703472446466250",
                "32162484501081842269604268286225066806",
                "185774672982709567309343846002710525549",
                "218290736852956794769792601967847285322",
                "215971767163050264334131100284579209896",
                "254093497484170988424245477916644926569",
                "72966193446895362115144021025598337198",
                "315798130128385864717801442498922233787",
                "68232382819718819535913614244761115977",
                "80899123874064129678102361866029388694",
                "274452155151490104329397779874850111048",
                "210152665725002714013265477427248427618",
                "80459129276666404252518911742271916610",
                "68954390527512546176231958174495894591",
                "134154227108998319711016834305699459671",
                "222040751770986335331539672385349690919",
                "20606162429832213163517654509600599279",
                "22856954756666648943798802203140976571",
                "108462611198066135940986276082322111806",
                "107651232848990682292096600843428672594",
                "329744351452288619512781478324153690856",
                "109569683882000128899585735886372309108",
                "78795967019644758213977820074597209099",
                "213446272503696237938265866667330017841",
                "267383569380553526438043469844804403830",
                "258558325579937936202940412167135084055",
                "163342279210053970559226904920138968204",
                "129750920967879727752920410688318353131",
                "284237130835777196641373744778006259331",
                "20553740339597370893431080527781609434",
                "218775588026229155504964279615622762383",
                "29331127597124018482810344996844162458",
                "211881778621040549491746955497015753713",
                "271170075739321897074180910552664879378",
                "37493562780001803339769562681308321125",
                "140634616674972122667555484528386722862",
                "247670073099268982461583208994467263893",
                "198436513041588515857027606069391195334",
                "244738495214478277806556617684190592266",
                "144390041424770182929912771687522716465",
                "93099765821625985123232178496929182695",
                "145418979803964335532809922468696461296",
                "228395244933700076812437794315034173013",
                "8237692966806830143668961843224872880",
                "134039983775435938271616527108872221593",
                "152514043228810033832663864670749669780",
                "199999950449060346321633328468745724706",
                "122721097408931766623282941249906226831",
                "296333446393487601860376500562739534446",
                "199487122351711445955693733023825867925",
                "18800963565944290700897292819862241320",
                "199595968665180835930093748645989449701",
                "108988427528098555877617796274277810208",
                "67514825189306382619614301188857236280",
                "289990681845037954275504028579557834",
                "175421406613653779729780164193838442023",
                "212045514343944722751467511168054591943",
                "329854191122318921479414053109779115214",
                "192822686184953847039941894095352727921",
                "226921883284430772961874786463193823503",
                "252248195651873637245020860236290235300",
                "234174857385698526759802846520574607755",
                "212386204571263641907628371869971656870",
                "124304695919532042383855124908598688178",
                "28210694577141025708727095204284375960",
                "29297738407395442014320176303949513526",
                "234266157767401276120499461616069289761",
                "215833878392028056436581204408383307863",
                "185802003515167283393859491530327304861",
                "113263078177631289010305416746366702426",
                "97088590195868409840250364342355565437",
                "206174812642875336195390504943157577180",
                "135153703738323811490608972115652186139",
                "43379977145138175225344210095042455395",
                "293378067272516188714871887404391995581",
                "274239520724765151354173870888693560377",
                "131953107528990708460843220461312630261",
                "296315760111685764177541663071530096683",
                "80133197093959733720482190614361500496",
                "299249533020660563519310572657616883961",
                "24912299973324892208871328345035394527",
                "246280430697906812396235575487741403609",
                "143374789982115050541073199608226601933",
                "70480424968436269166878417878049870994",
                "289096783765497220406786397963865623282",
                "166155824902463396635047305815452825728",
                "285918284584733167334985260143363254036",
                "130442309327479224125690160954709640790",
                "326019170206470590200507966061769786598",
                "107190259563527971917343773786934957302",
                "296357919230507364263718202373123691186",
                "246455182318305274401886372297517037223",
                "4442990476959834504461277910561097911",
                "49260502245761956536748511758432333223",
                "265336913517049166566636599302005864841",
                "331861408248752007209836995477601483508",
                "16909749986839287523921298627307471669",
                "94257311824414767392046283125810690548",
                "24674775501381299663894279094179698280",
                "172790056073936586677064278673502386994",
                "126411496606138018312574242906648458601",
                "228472989544885069597302963570100614338",
                "326406414464483177951261821492199311420",
                "209417530798383274483606454281481754220",
                "205637632616128654190781381962053192355",
                "318944284710982611847963086067815400857",
                "157446764286675445679125224887168367097",
                "50806185078645546620515620918333610601",
                "304065580084036334468482851214716651468",
                "164139477367123153595589682318512011393",
                "279563321459947209013041840907864590921",
                "89691040733794987150936309204376958762",
                "232865326605779264090221501976678921504",
                "332358992049009523287161492520452168253",
                "65331539076655730474047609119227696812",
                "129057189632780114529950917021942407249",
                "217917479488059825165938783152207364180",
                "248119697254616833682661637412638002928",
                "139235434740604250938693108835967843594",
                "44874429897001596099413839202096763005",
                "6595616585311147273996567713840655251",
                "307974224821762928315355252689231133708",
                "137020809436777060197843898703421378023",
                "128370863461190171235518784160813667533",
                "244746450066807710377836899678929861307",
                "226756342353691072182664240167992272122",
                "185757870105529213291394770992819692663",
                "62372933146102698304093666616103036469",
                "134772609021020917802748608304998895478",
                "97029247690787565013366763399587334508",
                "121904534343416672707521571402049719590",
                "172568051555478663574038047346525247004",
                "113548858488028852620573221576544915882",
                "34816296595601721033923091188938956075",
                "27990108487155100875116962168269701149",
                "234795878964845380594494575757994020610",
                "33846189401122401972887335548547140064",
                "145376536459579672041113782354840294149",
                "44849256282421186780315889661035170689",
                "145031891305161479978130560344830982469",
                "70116180873244849027489599892206451472",
                "275167078850079189718512367817595826019",
                "37323598001895467614869091972497435041",
                "193136872507304542747932825487612172016",
                "174177798113041307013232685824521922618",
                "214754811556781513571517236700883188408",
                "94518536748563026168057951975198619820",
                "35457102978630284571855720023132687221",
                "285102619570771839582803170377880275676",
                "274631610237616470051769541172931206905",
                "176989538827425350256322553276575550000",
                "9126412969461904724373540441526177352",
                "215328415594493906785210940434249306839",
                "158121569431019267065873778977349278499",
                "152552427843468063810339512247428025662",
                "80795528031946973246769751358124534533",
                "152676168419329541173219967452833758076",
                "337700998114405836714875441331463047792",
                "69606049744891266513275960032262420590",
                "310516868604537671468893913598104815990",
                "78775221229201541943608001802213080542",
                "299604972470247505776356278008966606108",
                "64816319169848909659362125246371298767",
                "214871547278440530599551034701624916036",
                "307377151167954527468995184727989387938",
                "225079201411129779050496024754363272310",
                "80101431446562222077078158286867170331",
                "100601248696444503894525477927375277034",
                "179835716654314054045107782843102495235",
                "191972891065513307529581012897343565112",
                "32502919671933073877053912274647016659",
                "328737774161818066820684862179934458667",
                "302712141317421121176772523421527712744",
                "267263981883039764528744931449008119401",
                "225720339294262463994327767981067610077",
                "242905934029126957757461239388439382564",
                "142030601722387268607637112289427506435",
                "296135809552933561556097637889080417496",
                "128120076311866575161666360661957939287",
                "183864712348051206731357132677952498890",
                "337963657493860362730376729116805710991",
                "60976994887087309961813246728772651456",
                "62227427454396541153939441860190145492",
                "329853737458202751821396689464894793260",
                "256291859829931407637339777136198487171",
                "6022107159933724663779602556482110568",
                "225366596398343133050546094974309768464",
                "227957885450958791267465986226968880761",
                "50584340960597216327732196132654705712",
                "277780722010456093329213057665332750259",
                "126681273592069029926916530404610156241",
                "205200761106871353248521720162983960515",
                "55209439426760547135435211328815433110",
                "295020574347867058553524962951433121871",
                "291359382124130519895056558056771787274",
                "19127943147299136814354015104389929432",
                "81792153547041019267190357189162328116",
                "129509737420959936901086648017707784257",
                "290866677761402465751699034161244432339",
                "126602271027791840587262910257129339054",
                "277082059485918307401360867994340379535",
                "6572971038373649142448607177274586134",
                "272373012293868881802194501950922758850",
                "212649440550215941839382694886925904406",
                "11344415630564500247365266797477349693",
                "227610114197273705021696370704142271452",
                "166750452882140838421442858308512861248",
                "302429950969657122822928989997655921454",
                "281817815534355337049791633741153294914",
                "142250052548264918580844099309988511563",
                "71141410511687452904428799755217781543",
                "333603307567941563032831454724249418944",
                "206438345181545278310880337344627887566",
                "181380222864202522629599701806225579105",
                "53853478002325309858038791007582465472",
                "69255656554574050827178358198280177068",
                "86296481134284133274313061431448815608",
                "232555018097809081402580414110686524886",
                "175769100420973274557936844835510736602",
                "93902185974748540378353199330321198795",
                "153235891080617584704082906707393953562",
                "164660340871730016764461862514588278494",
                "308562219831991803920589832119670225999",
                "306357471331023374588875044156601307379",
                "40714191600239177505926154582435477240",
                "76693741313166617124926005057148929093",
                "139474396391253128250226455270982096516",
                "317216874243872545755128117806172904009",
                "180825322294177105265553951357333870140",
                "322339944847035276791721229944793031763",
                "110284559112670672651926418474300607576",
                "218496499328589340890813731710616661926",
                "276554423462303546387241181024634615610",
                "200415260888534249034621942481730536384",
                "175225230013630224223504681552638062002",
                "314044372757990826175530908409222918101",
                "285947672441030946407961870207487076398",
                "311100412961238581272609381604525158168",
                "295011529378531834306131597185376939873",
                "64065048361825296036246045500670180339",
                "182541704758464687980573029089448326407",
                "82420429959855145776686114801088819029",
                "335251550990042556003741358652084467944",
                "121806423524073682993792214977381896838",
                "260073374966889662390338981596751108952",
                "213700780451195963679638635526906162611",
                "227812139725950661852781183079980495301",
                "114682556422714276366644097419331304117",
                "87051532002604432218504700617681923505",
                "275156780890637029616712095886276844934",
                "171474632192469527528485863296246287586",
                "69221821867025196231697730791146045016",
                "168977251400784099406832396327987772863",
                "56900562584119176223753523947620555724",
                "143864145264935524736781475560208086894",
                "133218592610749389529102431704303004989",
                "4383827317731300621168124499300317637",
                "334998435496302485559051274995262476193",
                "267870471085914184836988830920370774873",
                "129736609122321990978655159100330760221",
                "195237757364748740330900501205442395642",
                "138245097139910165762442914821725075023",
                "262929413670503772636388018958387716750",
                "208085741122964796938781220664497883149",
                "319120543200761852897230303623834760082",
                "339325797043343658774653855033045697897",
                "91989787222052909855048270288968043821",
                "186093835910424469150856127716718738517",
                "182230288919878553671573936729365218361",
                "68975347667040369258558254734120618083",
                "241113266082542385390148942806200119225",
                "330852155285806828471007785892069628040",
                "111951751829502479317867601808041309828",
                "186403645092320159952129409080328495241",
                "251539958273711152419681120362793700141",
                "903930583173508651405059185669827237",
                "275241087512354523000283659783996898287",
                "184221351017399475654842724790175827110",
                "50381974108863257791630636366862398870",
                "178202061725421452196613235788676776493",
                "16496598533864672920716662986064674684",
                "174413474307023904559765884728644583430",
                "1751994913545813325722033958593369163",
                "232346031693795596347950101474318901998",
                "224847854218188010248345402440256942702",
                "242387643658552058919373449033299497100",
                "232636013862480404811733820877687192366",
                "186875322463540823481503659101700344122",
                "286692743689699601339835787780118405567",
                "302161706698965349676578300360653704757",
                "105335148681613737496619593080562283518",
                "210050599360189717721773515551641917644",
                "281854746965950880583451662715149435143",
                "1527952451925159041696461222924932631",
                "173125896431925931071998287786149558509",
                "9645096669186933168165858228638049887",
                "195388376584890770903202709084241318994",
                "284861114431312649965967653695009984448",
                "321422738799091046076914903416528834158",
                "227005289514519816675878578362540494793",
                "212763128402696033573714513974818725243",
                "261415583868084764424776235143484748877",
                "112086185108911098316063508447879975615",
                "119616257012652529086661047034391924678",
                "83590675625682945114291463008930506617",
                "236922506219602913083515738661068202616",
                "5270574480428866421171240710154401335",
                "54733603256397279715088337325002307676",
                "262994614324413340910665757351278400757",
                "21040011535511315241127567720254855229",
                "84009934387865821708669260134006874128",
                "337078956739601927531856197206732227041",
                "101829510508614528258704031271201031496",
                "327993810384250359476122239300071164905",
                "311497868179018014828522161198482128458",
                "304529552754634620815404979974061229792",
                "150195365709545978192956753648299697080",
                "162763357243179432712985001747332221657",
                "201438039558849253509911447483860326911",
                "27902739274702828649873295681471841849",
                "314809546774493951248498615175693672958",
                "265284235546237335512588399986511532003",
                "215844067627834226609250952144942176096",
                "240361735174826491767603296074022541383",
                "119778634786719597547336187150733821988",
                "242750960582251660335693321179087063905",
                "281321757565577776186283591649672239509",
                "318177056369205882695371310293545944110",
                "55311978271851669048967227231676439977",
                "300941997220272684688107088703877621782",
                "146943750186830306045631566924270992815",
                "147229383506132523725833396404895428694",
                "49008266514165425648583468686372774007",
                "320243101691168578603039235823302333426",
                "113632086144865641457393138556546373400",
                "314441102427939149190944522662311816913",
                "115179432471495024985062366585125273079",
                "180964916872262690858630007541800904002",
                "197900005630354519184605980303348738433",
                "145844183383372699861131328008934275399",
                "258654239237233289022896030927183605715",
                "195456705740667434357002961277240072800",
                "58391424218614682287837982630640894102",
                "158916690185919573555634680759865131851",
                "219736554575388303555094236533378560794",
                "232704136403538410914494605128321530896",
                "183981827485271717726230858503722286949",
                "325846428874277707910663635201058310808",
                "259932007960516006197826472023765200392",
                "311073858351812515032910106455614274262",
                "16865448521552984427065194586665952043",
                "18541915490055460463144920682214130697",
                "202718573237805625310885369337161252900",
                "120270763688754102207986856498246162284",
                "18554679362345187001301220594949354136",
                "135743241539294781270481709658746100692",
                "165356122972751223780235600461959329558",
                "94290480435133580293601160706366320990",
                "194046232717570718831540257046832373919",
                "239089833556813630740348227569192940437",
                "297833529058211311576946446881516099006",
                "260608190426768504875337380076952337940",
                "158170182175641564066725860079854566325",
                "4019728087499275559759006833659709839",
                "268445444495659549469639649968845563116",
                "180706621451455729367643550519844828219",
                "299322497816374841077257585392583099224",
                "243056869630327753701366583791233946755",
                "200716571442426702769211003026631934494",
                "115552271657754498739273369510559597962",
                "91400437529889450315299426027439397632",
                "265802473254471671953272305626810515328",
                "205763130411919343892211491210029239595",
                "89456037820840286254575503324438064992",
                "111074310227817600940902890515665334859",
                "202733135105988308137841696187581794486",
                "173265522521560867492346643105672684246",
                "272342694890630184432503507268343169431",
                "195946115369865067013309706557770762185",
                "321025013055391954412060966184445946696",
                "235590924577451413759016153664095960454",
                "1806734561072243752208383426250605134",
                "145293870011467394616420926587478828400",
                "332321545579664846672447863232688477458",
                "148080260094975806322959397360941204791",
                "219920427073899243391211289622255039374",
                "259089314465457068707019661878960060688",
                "9991097936214303112246549551518462440",
                "7198281739393196057277802763307703132",
                "15622712601018327376515640677748106910",
                "196482313680753701951869732329165903620",
                "153110350550020427045937468665395300141",
                "100586552810744060072743884831525268472",
                "315737550989512693039513874153794946357",
                "54209017686426725042525349500881003660",
                "27319631855470999258553135617536372477",
                "1699852253992189375505481132594273248",
                "19554010681978740628761200210929788249",
                "93449290489094598000309847663148019267",
                "294007673392227172258901185571244607294",
                "272911556915113809842541769173611044221",
                "242147658461528844971819893131637311035",
                "260066417820396700836995214378916329011",
                "133119657396077181507990287532901475263",
                "227090678183643515098421067476226213066",
                "78320658684022372190238741542394999037",
                "207373546116920470420384326949431775558",
                "68039979366395940573350915917579329279",
                "129175880700152189412478115635763345345",
                "314362186653695266019392043215282396756",
                "128623215647682966763874547476515953331",
                "258896859786819891091711451002502170957",
                "324450981707406544789730033263361576082",
                "267989473138723199687781623779481013476",
                "273223145438990231627521522818722623914",
                "37176764408313549038254331410023981823",
                "338787925947179125512569540345137440987",
                "134982968019739006239332655253483189521",
                "33333617899854628601721903433418097411",
                "292706945984523515332080719324458112668",
                "144537869596775174243696399838966110794",
                "301758567909686041372179619896978475785",
                "71400594774029631013648738708979604923",
                "119596497645133879669478609871544608677",
                "189099466122303876769584863557620016613",
                "271572096417413617478347337337099296586",
                "144980663618022897417372216751626748349",
                "260710704211880613039519449790289440880",
                "169459701401159502529256397000176195052",
                "254289677387407358095331346652330375805",
                "236047145944094809394007895221523984365",
                "231864799015802262694605859470630521679",
                "190313837651547543732694156122991754390",
                "76585198276086900467720762704890199869",
                "190583193552690470984796754858127054342",
                "192295757272785924824240292725400760124",
                "298354726094826173569684264287605002927",
                "123630333714644847854209070606294045650",
                "329270183798599885409435829206128469627",
                "280505832904027591911990655528218419472",
                "336607177768682128186418774600570934622",
                "242671631319734649752291341975106437192",
                "214477295405305203884825186386439371044",
                "136984672383728928405627265944411773208",
                "40640750831196943193305269785534324191",
                "46910388079215373390848059890303080887",
                "5252242457337705406087832031045711475",
                "302353251473158309745220672340625646833",
                "70873368236096388341378386790315215456",
                "309428189646034870861109034068653256657",
                "74883798862296401312084077680158942393",
                "190044248956328972249705006152270993211",
                "199217965382505343584872464322926527283",
                "22788493173145634027155985001551821129",
                "255982813979681678293529010967743017579",
                "138536918445010139287125700672775190624",
                "233914025758773637784064630417457556772",
                "336641427784558701372975255829338942972",
                "63130345715750518885907040792505705936",
                "58658898026327243395348160240829526651",
                "101616340062783273588572707077262971153",
                "64052529622049212100329889332969831405",
                "231560367268440623165163985427945554748",
                "50855554089389003778729746821989731920",
                "193727249306835864775939133768131207861",
                "177722956073962838556888153332130148238",
                "175291560899712629223122696130274241714",
                "132524067215337836339205843038732651879",
                "5356365066970590128797648307210439552",
                "170416437691301281607377754082587777833",
                "173834082875525138074418529851581610179",
                "210817084315249854569522362214304647099"
            ]
        },
        "id": "CVE-2025-52484-c5066c64",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "239346008412498967374077912552661942259",
            "length": 1264.0
        },
        "id": "CVE-2025-52484-c52d2095",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBGE"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "165610444721097183597541043733537453136",
            "length": 36831.0
        },
        "id": "CVE-2025-52484-c63d01cc",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_9"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "286787336212878774162542439812866864434",
            "length": 5132.0
        },
        "id": "CVE-2025-52484-c982e432",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInLow"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "37523507583898852801074666088813374128",
            "length": 10756.0
        },
        "id": "CVE-2025-52484-c9d8dbf1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "114939928695523674471972756130792070433",
            "length": 1230.0
        },
        "id": "CVE-2025-52484-caf11c7b",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBEQ"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "114939928695523674471972756130792070433",
            "length": 1230.0
        },
        "id": "CVE-2025-52484-cdae483e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBEQ"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "292625854986191866384021110204299364602",
            "length": 497.0
        },
        "id": "CVE-2025-52484-ce1e12b9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_SplitWord"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "224971816334070627011650414858670630435",
            "length": 43788.0
        },
        "id": "CVE-2025-52484-d04b10fb",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_5"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "58829614681703357025242745914883442751",
            "length": 4475.0
        },
        "id": "CVE-2025-52484-d3a90400",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_DoDiv"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "35766643876098773642595122738188743604",
            "length": 936.0
        },
        "id": "CVE-2025-52484-d54f765d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "30321757564888092770739877967657158867",
            "length": 932.0
        },
        "id": "CVE-2025-52484-d5757352",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "245056775760387581621387899445289275823",
                "191490177715841213837404049285059740775",
                "175377253904044987534590085496422642971",
                "46114447386544481488174163390078090079",
                "18546220730180658531588244704069914913",
                "1993403315319937880743620137509702815",
                "71983511065075005584576377824844746926",
                "140635973238962151224808714695015934445"
            ]
        },
        "id": "CVE-2025-52484-d785f084",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.h"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "119058200329694075957690526848080158836",
            "length": 7888.0
        },
        "id": "CVE-2025-52484-d7cf5bbb",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlSuspend"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "281970876625501359336405917040371783684",
                "59009875401934379509806295234787654577",
                "198803552948523742418846523635936288597",
                "252042321106788314175592740211791740967",
                "193494633501110985235715086830023766716",
                "99787075066704530040155599539527886498",
                "60691652838198224858208183099816123825",
                "34243660327641214484087752632308492872",
                "233918663003893709534484708141523612645",
                "168206925790728627371995376478324980698",
                "96095908867633692025415752677505558676",
                "284721405146979429199872895764664471875",
                "129698982633152987393236814249409282031",
                "80369594032034859197628207553321331362",
                "232036996209633338705284253590915384566",
                "54390083663888207425995777675418622086",
                "48322201612882385482708420542149480208",
                "191032590590176855142872077618678552445",
                "327505154338065588132454785220536053342",
                "108721635753437687532126114039295710135",
                "166138166890773798411256262172811430116",
                "319897754927942999157719869986405965712",
                "85575302020884856196836989824590962572",
                "97646873749859839919012735803541460659",
                "316302640612675394256765506821368558388",
                "124186423587136977440631837207937950698",
                "121157062864495462339646628590870954319",
                "75744430357807654410690939743305039372",
                "124175597148875064955711726802528524788",
                "316205800423541663539524380259875864345",
                "155277045713715499604853751827984622668",
                "119767940063677635695565899274735278030",
                "162243775718740624328347287935332421016",
                "278464176823766501038689297993184054452",
                "39856221731166328729199678806615676702",
                "257642488130398775170201340589819037007",
                "217367461050928706693749758851993042969",
                "150905464551415348159382821641255419929",
                "161936051975180045523378632951755012684",
                "196016029316669539426351905738621865946",
                "185070219838431606193543365851583791479",
                "325124760864528544226486114764226232761",
                "187843714996987901954043278973451959008",
                "279924659833496583285737008843048549240",
                "219408062969627870621791078927073917553",
                "73478272258661838109986447463617888694",
                "298904348418246170059032332012591877226",
                "80538995200111715794390435271378933923",
                "80182871498549267222953560005817968520",
                "182498271225423488418704295396405191538",
                "273629713717856270520152404080385846556",
                "202369732154090478526336513487992299508",
                "117006839982040098110309065184974174300",
                "222204855592318204601030232498154324992",
                "231829415149859407752020888299156716032",
                "239784337790396123767289114592081149692",
                "36287031583031546531607431512254008790",
                "48017443620288987180318432264208097901",
                "187134819509464719859715512980823908261",
                "147310503825843525794376140578287186381",
                "225775706749616258451625892285743523123",
                "154044991941043284406410599167452876752",
                "44926984312107553367674900255493519228",
                "103148211698971911516523964635934516397",
                "208519276450441437244173798531726229467",
                "132041572833910180253671168331280203311",
                "88913471696679852176412302094589920390",
                "88310781379615032491201906249277091383",
                "35133613085348126925883608844237820763",
                "78730393307411527932735407187617092132",
                "52953572741371475102984780406514542158",
                "212655378893745475840909109544997361940",
                "107548035144236895541774615909778586810",
                "261686770873828346045257296544481821656",
                "200989090139500170240208184262888330245",
                "306768449606556841043228387493227952862",
                "253443994690315434464188309687202947854",
                "152359346922965117150161650489486450092",
                "77449966758167834664379158802872449381",
                "243682199602271536150755036954478239318",
                "183561744508912132522730660340324961024",
                "105059225238759280616833129283698994377",
                "119410594963912771230818788449179504041",
                "296282500630992026678464585796481942366",
                "119380646853637498143159670998638172614",
                "41296963333345670097333007647129493155",
                "112923433783930747767221150664980002836",
                "147342904265454281828157880198185216924",
                "137814262742155084794444748294392153998",
                "206272318906213134579321567269644898953",
                "70102389098819134608261413376123913187",
                "211050967256864432420888707638240320308",
                "54466435453276871232955056929003028657",
                "216670638618579104359336835416892490677",
                "273122394803866804365354343237583432317",
                "198856787679846031920887802055497910267",
                "209819322644296720120165582683145655735",
                "72528051488152446206625620808139689879",
                "171470261562493082364325783547680664513",
                "291790273975812486924594019463752165387",
                "146926575535244925603505081548915345321",
                "167424460280529270023429625850797968433",
                "87774466250173496026024867384231683428",
                "246433265366932803467849286110930779278",
                "220656215657756657758443776435905071674",
                "300907679229255472437705975855399804888",
                "24163531075564419697770335359783554505",
                "156181161136625213461483234938462279357",
                "226672966228169845623836826988076660830",
                "200357297291099356902215076565331453078",
                "298456067065316874460338127844907244415",
                "20633936406166182279232555545258815189",
                "339056362023353791950678940568630743168",
                "74051310929801760403366420060631801815",
                "210242394430735207929201682885259418836",
                "19809170237225551279917556330286517438",
                "335713503310756578976502807376038157259",
                "66067764323234481528323801311300216176",
                "2592524394849335994338501031944422095",
                "293846338550929642379522911272293987187",
                "158801861865517954740775595409967351574",
                "125983160073068218330152430516635538009",
                "333387772786502128430228772982148876123",
                "338747936318386938435047944621014067101",
                "270266774493390658518252663136678047269",
                "328418532412030915234841725898893668548",
                "286807350462525373223504187322555745886",
                "269750449714390755948920954971787715351",
                "29032164772392327329618928556416014426",
                "227563906686203171811023553344094563525",
                "324240078075172400015212465802477345191",
                "39323711818514732366107204242674583876",
                "124063318106330158092625184912614040213",
                "151260610808758173426134826896426882403",
                "264524367790597323365766901540315112231",
                "126291295822036885828674702749204579882",
                "173735558618269316310802767396707551149",
                "336011112451461455352787219219501806348",
                "57265502475655978744222910814113077503",
                "141670723760945319597666517918771758413",
                "235395578900129567490896435173520229320",
                "94287789667211345115596180386699845855",
                "72358265975929934534578271149044466248",
                "207613322227027869674268137745610787427",
                "269146576398563529262316639763497041310",
                "262515556654386150342756750956409279863",
                "55309002632690107717160278080962307206",
                "100224933820552870878726128757590030699",
                "177931242761956593220610987106848958014",
                "180168613061361318630360095614697211995",
                "306567891979066384104686675369322918284",
                "106041622695141358146322353267515216168",
                "331893648862358514061754605308257731604",
                "261897111722546670259643378604903351633",
                "247983779480551121031462112460549564238",
                "101223867765399388085957363223092262514",
                "165092056179564821216086795106559727268",
                "119849790392310399919033323424584319038",
                "141508601509157119974097942589082275227",
                "269551483708747660020164038679982184704",
                "1064722763261913701486635368493441804",
                "297142830498505255309359160639481714585",
                "329285049461655062258743242232369652864",
                "15285195608939063141238486366520818967",
                "216428327527442022863107181058860215523",
                "212862106816255131136482688749871909034",
                "44243952071380989943989687263882557013",
                "165351980920363012243383627555761340270",
                "104019087027301340478272842117206184113",
                "71658187922372195521400958095398027950",
                "215459908161773338328415832344769052851",
                "239312649656978233235044866897315677174",
                "107578927835370297715091642314624078659",
                "299753539043197440376701835932873195562",
                "306276816851920394019248999417258094952",
                "91604138774636169250451690475965214349",
                "44689438264749010685485784648709566089",
                "114968667239811021288998032623497076893",
                "254656248484745095638743263479106824759",
                "62773807709519414147897700368284175120",
                "130516152032484330168056835086944057277",
                "205974631522954161854380179731832682554",
                "217452935184466872615235065506790684171",
                "158715596846614841369740930540641010803",
                "19730255776554886647658528690180751889",
                "18956935268327494118963191645048985615",
                "69464168978410684210855245245548831384",
                "161383233509418828310319471890769051457",
                "295433025047015539996787218301214377699",
                "255154348835691118328474674839894256181",
                "37797163940207446092200800043165514424",
                "159589662362678784077527194020388852362",
                "178211809633026719854185312064377996589",
                "272035600719654034480414116595855823838",
                "179292024039187238273897521011193086634",
                "267580155306893146319801029739398958383",
                "339851610539654279002654341205543346798",
                "263905121227935452856242675542528946436",
                "183524192862118211244197616506277668885",
                "248249944996084552896376026977709595444",
                "8337999436023500787931324446683968904",
                "70508542751655826611119481298328479671",
                "274144245562302798497405602953914381822",
                "96962882478929065652165887267860585614",
                "41729120773332655531525718289018720303",
                "153346265259106760494765205138992937891",
                "121501692193182692514053202492956742415",
                "182146854699849738110341038326321602271",
                "40380365754809872385767800775028759817",
                "319050405672528855249910627785889815944",
                "6911083263916479102297149996249799199",
                "293753089364374170902062859657416289605",
                "166682956267522825493717990878435885543",
                "279989957136663770288858886022586466535",
                "102426309750857342962192268969590904993",
                "247629467416282900184958561992922974160",
                "101178159827895793375832883660248909670",
                "198419219152570709865398587119742688940",
                "129902730661195579511328037887269725129",
                "123354733007847816611713831808024780315",
                "31971784175467323088069066011900745947",
                "263763542189096903931590527671246772839",
                "83440818252514819722764251532194005629",
                "222540888037732313479348517943605998173",
                "306439977059928903908280074421372166945",
                "293633135725170996637059738953743469082",
                "94597542309623199933007885556372170430",
                "186376949264819392013420447258386159391",
                "199155249371547866372691194258622114508",
                "131711536715127118698362480731190964133",
                "51368475321686182165800969074197210920",
                "218791256220631681800336080089040681629",
                "93356919925269430448480854956669600612",
                "35844409333442795154405863857586747275",
                "267911838425054532285975834027955178315",
                "21871803639349227123780725745428171761",
                "35552218088964013368410810542367365628",
                "127348151292249620847258171864137089117",
                "105373078647899617905115877587706299202",
                "46530163869484776480598789565930203347",
                "60462251897147379717283442800275933653",
                "139108066952171713392256924083970986457",
                "210117237428501763274027588843389116311",
                "155929669040470919041212578348567689309",
                "241670920088140880879888341348760612835",
                "46877656169463402148172364881447651829",
                "292828557024017433244017977128058148665",
                "267504639522597631080563860264320896912",
                "190478406295067715770565419282546518911",
                "212310232101720618166726997842543214730",
                "214384487772046749749245102375388986063",
                "134991350693001591903531755774364726874",
                "61181681013988979322549547071902239561",
                "204298823322197092696760087930102220174",
                "334235261192843707421816908411596195114",
                "38834368394518989359598696621944295755",
                "15398752851848446441575748507515711190",
                "93503656841723698443915928396454136055",
                "273883850860351582615584760281231306067",
                "250942195973037171245980440446512538493",
                "124006578719741847164824614263948660156",
                "136998389162398160595886469172274594411",
                "280961903073562979569117869058763035171",
                "296095340886057268983716781211902573784",
                "188067094287198281532166730473212884160",
                "106121519501855585081383732198444028573",
                "313331500751679172955628125461561242497",
                "220856459030885483022477966114262736399",
                "1607778838957690005620721719858082139",
                "36145930431665269087757648657114920367",
                "266238408261566322326371635899645376708",
                "236589501224063228430023046558988376893",
                "93408375522680386160482584490776332373",
                "255863623837581791657263015066793465866",
                "323882904866642342229487073174848406199",
                "237194368099803429854024027323218871521",
                "123135325678282442482911177296067912986",
                "254832269275917131283200323352476274378",
                "39428883473612777680430727777195891477",
                "215393936335311055931401447949169026517",
                "236838576576718000798922995146396815698",
                "98562493878577464576566107081558069913",
                "81862482467577378511989775494222522500",
                "22667653222708895496813186814061597442",
                "131313301819810801826665371960098223544",
                "276185868610387789058673722503437521185",
                "338179292232402759204342799911542935115",
                "182182888002409587678583645325617424686",
                "248591870641214027038657134368436395423",
                "298258067587460083460614337106875021189",
                "13297790867616655537764819157849463600",
                "71624119013844128093480870860175198086",
                "16770100714671576006337251467274015730",
                "84809788062482096282005760740547959199",
                "162250595559018327284615855471498315573",
                "232113959115125383922560042366073677601",
                "221978458406745864192509675600844576007",
                "23864476792141230295404283662609873770",
                "28832474938954505901408115798165245546",
                "275756402897108241868945615449727826380",
                "297681229058499026195201580809507721940",
                "30459771182463526765741849564657305684",
                "337068703003639950341963951458155918111",
                "224979117616270129341217156550921777896",
                "58783067619281022872766543064003665423",
                "190939149501695832014697602976405387973",
                "191394597323499223662590447581530670327",
                "216923496358200864584692687459158381988",
                "239836127480901868440955318784670374788",
                "69946856569089589027281396976763012690",
                "209311688040091525124405200753421934870",
                "223728984349186887238519282367223932503",
                "63472517421607699957601158193262232837",
                "280909891347475257381478252699669383643",
                "220485269496605221972157170608329176089",
                "148218196653231412132958770852999605171",
                "136130671808140751814724563687949116293",
                "121859431440687791337827024030805622942",
                "119390021279833276902022129339583089560",
                "288791176346443909359395831963168650474",
                "331757497177639603803271835137695327943",
                "111061720213914641119177412580195889007",
                "71236125203162911915386772816830585167",
                "292031878279951811522237259892472808457",
                "71089762470232686277240532051134387323",
                "185986849885104145156176613815182928064",
                "156835165017996036598825040234019861279",
                "187101446812524300472540448395211857073",
                "278411787171387191515699873762846719776",
                "117493765846342594107209882945041550605",
                "269414860878489609862572223955987466347",
                "38297355432973633483948489121483039547",
                "202169150118856573242029374825981968322",
                "264003557009248060320947792449105135314",
                "263122516013178953173530175918047733938",
                "297030070787217211634834020371699777027",
                "309876237155749379061204386355083531639",
                "282557662217260062032096831504808026219",
                "29180762980707693195322535855056857405",
                "80406664947426335936561137437489882788",
                "253554505031108887885748109494125825395",
                "176643367712624008863146245296644153889",
                "327478274328604886244050915587347398091",
                "193537636120925597430198872513121851455",
                "92543227773423688771655634195958032368",
                "181679263992747941789736722493667662823",
                "182833744903251501728101344342058537062",
                "87165112185806393296010429153509021985",
                "198620419827492583251708289715814389198",
                "277495839567168049289059103024424533177",
                "319378587600791174431440412601543568862",
                "213417182756391333416737449144513614716",
                "127401986040037930675854698349909325595",
                "280144905676030633382234995921982965570",
                "173562794021619493117531292323074868655",
                "101712335182853913844691050531158632069",
                "287394692357802077457658821944608991875",
                "270163750651873466067448676083121326613",
                "232025514179363999908196456161457159838",
                "7369616082663809067320113988340474698",
                "98907118942152036275247661214056887642",
                "1228094768670301575671872451911601398",
                "32255042849607152076822981142388006206",
                "332518076813359120113592912374250187254",
                "293612477413001060571964422824206945584",
                "102431749127883879591522383043790133508",
                "332171577327345121238521058925806962403",
                "120910845627597011495704448023616048779",
                "201923318480078988615384600433612934885",
                "38271829331670207613906203587358570762",
                "289071829879071740531733617568020826900",
                "144991570876174967477669415038274585586",
                "300184503541178637235802996209858817219",
                "245628778206739067367186044538370969371",
                "246573347412157821985428899229997527605",
                "340199464343144767337114208133818731172",
                "66347512813871353636877764967804538561",
                "32891823778223704147022716382907606429",
                "11808196524890206417625012209913717940",
                "165385215804345517815306192797664162622",
                "180588474219271794207022072664047150242",
                "242248785714327812068148775038903634486",
                "265464728909494511837123098271812359954",
                "287310621668093510004559755458063844096",
                "283642372399109373639737896655498882666",
                "184200945647743844328673464217107705906",
                "249656261385457303358496966776345791645",
                "208466414151818883486348807164887033883",
                "155058893902202823664775360259552039947",
                "40554389537632467224305267796069808705",
                "163690402526501556244591050640488046514",
                "237599681378117846382801838507861648864",
                "164851759204912008560451274676731810927",
                "119122544879599604125651662230792855799",
                "69385164887640641029560388101745858354",
                "113846543772302340571736068107476563681",
                "10097817643838568190200594052103952282",
                "102264008212509635200879296009188100582",
                "122997728902017456386973300942080530986",
                "228994630400223273398501412350542845282",
                "151971684402807889246640137698073070799",
                "162144148392067081725395318490907793492",
                "56260191741230597989524309375253576553",
                "178057750320120812275587502244584903764",
                "102123190432919079182348766615370481315",
                "16288372259144679190185709013541994886",
                "309282106854404380072160688032593908776",
                "202619074015248081835130811406766445563",
                "123220387844183490862204506240120541706",
                "44979342057459502197423627868128019222",
                "98614691967661166309190193263091265117",
                "309655243801597821802252028896985257316",
                "194699345300022572835011190852063109407",
                "26486468807430270872823402692686631654",
                "95372395551829258475488306444339721650",
                "231569402386818042916799732864507726052",
                "91886203738316945180438850341364574690",
                "315541363073437103630371532761943647862",
                "123932636128845809072477586412470102083",
                "205016875079198628277075782135371639395",
                "337720660282564020816815756842389035248",
                "293198275780687428604711819205763474811",
                "147395938650320644691843439882271915326",
                "195629700409381988522409925709311016529",
                "75080235948547274056832140218879172722",
                "17593521001484259078475951846520291580",
                "1903953131940281383041340662691751298",
                "110823795405320575720751600563211522388",
                "245954842849833679318692626256290151970",
                "63340859853750227648921505045595556839",
                "71528355773263579695285230616127891332",
                "180338698451875669902825426389582074875",
                "118273023376868555691230449079141780302",
                "153940259352196850433410821117570401465",
                "272043008357862459033270367345850172179",
                "191584977747888673418228369892417452107",
                "216040010814736839972798965912695352548",
                "182388677952357866910995995313645524964",
                "173698755032334132108383861389181747313",
                "279777338959913087370501132093479663096",
                "292998552994394745993727364323776436624",
                "24320372105592858631789808723362020129",
                "7602377677698192914277822085031934281",
                "198827738804087035055955132578634436422",
                "297515817604218844473863188969341343657",
                "218328119055032454741212946858648803550",
                "118278584691906342489140879477007188887",
                "142019132089449909182592756379795530428",
                "109471010180754501541492936187223632481",
                "210402302719946059152268098086757058730",
                "13593530094254203448678487427130407899",
                "201762928189491965032706619904953666176",
                "204376864459622599190803059482879647713",
                "270449711740832323559047593937782014984",
                "174975663056968782831687793617451456539",
                "46738929767978613674528676392876372797",
                "202339369609277656898355114998794829633",
                "253795576417240043307513442025284163859",
                "333703792775151633383519667540741780912",
                "34639772616804667127638293891793128222",
                "299282306888906745816891124250680212267",
                "326076860084515705812700925681798140896",
                "188091627397132965484912492833293626174",
                "216061155849811548628961415846198189270",
                "18205993675356219396583483955976423423",
                "95763761879930533623127698865331200767",
                "161636060209877703310882883216107563109",
                "198064235094912104734773843396051004570",
                "327955640354889679268556085754590707804",
                "38831006240795332876875987234711097744",
                "208337739593380931043604949405725664493",
                "115027561572956959522213585091645984780",
                "38922951280386508202908387121170538834",
                "87158364426861510421221085704734366019",
                "21719581242665009026965041209123141842",
                "9617208034136271332407049198196765230",
                "116973454584902094266935650431684167898",
                "66742398505518968301296393005299180395",
                "72130633294722908329036698021374793675",
                "5048484600491298935406382627973203143",
                "148543557674436202829142841699892009009",
                "292752012103320689946560713833367468059",
                "114874918520292466292964999667845513808",
                "305279831124139764166531016887674662066",
                "161131082663752925739048139793257248897",
                "120388854311420634155755395054292841982",
                "96145104235964001600976999100868546650",
                "43791307574457299474342662645693224204",
                "235186117432078416681666874682466809162",
                "70346736935604439601435019830692039532",
                "292132725037301178047726617966144629014",
                "25893613550758310281842430403664435375",
                "114926736095881807293135037177352292865",
                "37875312017835750724282986584979487374",
                "33861487189974799208257037123861441119",
                "31306218086288696206999652092320151067",
                "159438719370222491259012165955895955656",
                "141274870662983215217018422828574729960",
                "161791551291440395267892443411366102990",
                "186161898038940324499627522832416101733",
                "255528637411204599424389030313245575556",
                "185363608887431603994154269839940960935",
                "182829735416770551570842457658585235425",
                "169969438758052315545660746246399101908",
                "223929227888597356718056248998463915372",
                "111592917750172830143814287575231049046",
                "321568688296484996613137064557752637998",
                "323098006970914241713263954547660527916",
                "32608199968685657680045757148774936113",
                "25461475843888304399344256359134693426",
                "105019862446786578670912828052914939439",
                "233981430303838756619554777110746225602",
                "214380588546746562176601232103091611649",
                "221825383022234962836253276766886193620",
                "224300011937671477599845852935705262396",
                "150770590255262482607166939288558783706",
                "324857177109233020095823930812801034104",
                "234981971882696003526316686813060380516",
                "309465642747755762332117821601437069363",
                "53940958040474558231847725056733254433",
                "84479403866503184536620828844548444204",
                "201156854516083620186843271912164948578",
                "44248643522540949633734362476152913535",
                "127181654883426321414647207068918662047",
                "64923639676004360105503224848642929183",
                "19420079817640884009587273232666948069",
                "69560551534902855159914703831683232835",
                "213559394322097046564848221557076372561",
                "149471421237958906676884966624098551339",
                "119383764325350381516330366465856983084",
                "114860502046224201779346626716429700082",
                "283162409500805844106438423527309320571",
                "231899631770826501023889298464848510282",
                "314847369034099634920829275653849398124",
                "87473607697427644491677978096445853535",
                "6409308860480461527145204036283011860",
                "215929295210745631455229464275263285122",
                "189044117818157222737937418545062230181",
                "87535941907590118429306518144224931809",
                "333101515517863946205878196264669664935",
                "195893606361889938928632948536543199468",
                "139524261598795056947615606663740353403",
                "313131171183138898062932850120834433132",
                "250476619726268275601581602436652051782",
                "76435214774500779135732160592389613268",
                "70494421825301496318643150072879394194",
                "201423588153707878706722958943621915889",
                "247182767698349774615243722303149093783",
                "159902586101936634281662916127725809699",
                "249282179286700953601248371686192297495",
                "280217765489826627824517972177691652259",
                "193617777252542610128068783234755873766",
                "53112672453097204648105966537012301676",
                "171415269958851727309564709003717284309",
                "260510449666644648592429940936336280015",
                "323866903653772088749638490911536494649",
                "215267759784064125197541511832607708901",
                "97394744150699522442152402119329634726",
                "326235111639512739928837976647901970947",
                "225132719958387442197004488218317194797",
                "125726700303102387963169985224354495457",
                "75151426131121450042696615004029801374",
                "238796338872942121589486868578005302440",
                "53146007919788716901881675257335104604",
                "224208647918484675995284665070088708258",
                "16604868457475353862131202190840692566",
                "158326899349954645539486448625522888416",
                "296886870381118707296026212034755120093",
                "238057880218666703758627999423852093255",
                "217313064524780134964411172294249345704",
                "107638652230527529416564677987376065869",
                "207316449778737372245065519008366067942",
                "314958859629692011283168293147681842704",
                "111807929639438311497010308122330417004",
                "56239625857773087770990962399538639302",
                "306863766300884601840972626175674075972",
                "131379745636879669191489152359923728210",
                "340232752677715866367079203539224470952",
                "245836019814067852539819671613783004999",
                "332455184508468977501390941152100195369",
                "252964612698429157030099449838872345500",
                "199394091603535421639535282555424324806",
                "249856684472105395129730454150786151631",
                "234773344509487704477549105579526972797",
                "18080983413927623878194082359816331934",
                "52955480782353621383484783828648836507",
                "189541770689570132242625605201251070297",
                "181946819123720271820912654468262044424",
                "186439390091477745950769040853284667988",
                "64118148377565596651063714910181200396",
                "61191718569217026080166753681842396244",
                "107362007701921299429469532316808837471",
                "187044642304054148441673243596190614886",
                "322199060009119756852881479172201865711",
                "103943793263607018552148282151014671467",
                "201971079412098351258498565495284071186",
                "90726153865029286255656541612472331172",
                "133110843413228648567658372149028158572",
                "178181018614879241749152670323389293807",
                "47129505091723180705812880169784914119",
                "291019880244224782396145424457910305260",
                "296264792868279630342521180901102274658",
                "140202394682024927126106179064151449661",
                "151998085368778156925030443230641450643",
                "211253950768244245778799631554416206411",
                "83424185718058116469780553856851966038",
                "273698285140636953521172586995019227328",
                "22697850685130441041970085655651794932",
                "319910424002837297031773626542107763535",
                "245414294683688785066606545793813466582",
                "237540976398089368176654281000304740362",
                "618000879496229520569303339622923192",
                "276721685599322445333509249071948851490",
                "84380108418767640539155952267704538279",
                "47977005546671820233564580599391709723",
                "118918109317809030168092406564099635376",
                "167510397259951714857968048759930576570",
                "140781902478534184887664697253151074667",
                "199821379749287550210557487714385662684",
                "195489651220826479591789754254449093165",
                "63914272697969014950529767093771714841",
                "41316593185529094241337079159742545867",
                "212354651888228228753960121453804033176",
                "327661747453251017652449497258006266243",
                "95526897354820398383686358848080681092",
                "207462017800286179651941236701087225293",
                "78482684726540068709363107973310991132",
                "161284275693817714952544270243794426055",
                "108668665295042310799281504143579479742",
                "329146390161602502556450664174857493347",
                "267079650893942936262404642600554487405",
                "115343864027740789100750747213156249734",
                "128581094230814223557897648411853027164",
                "335406205907194900773579633555199335024",
                "330380099728760800044497667000752701549",
                "335529613116275730259099490003224602171",
                "45280738531129962066494991552562421706",
                "253269570390851100179099671334886307547",
                "164280663472637222627387566514058460170",
                "9868236028071041425964358859490867659",
                "194319627230184635213467233399659722788",
                "285032697083098479597057314239884857364",
                "300221518137877624850992509332692496242",
                "106661857592721669810688453793881770782",
                "263851299663416001960888828412881881446",
                "323463027034895350391305752778594520689",
                "182196439516955217879233782917357652369",
                "336532857983986378022133010235716113280",
                "268331000158444370953590367186207100484",
                "90271759458395349072729176330129331254",
                "120874081371634685565182171898691309338",
                "264755080171265105449407135799001664720",
                "257543920879481160369041836796871004401",
                "308605078806208591806292388754351554492",
                "227723317418315066829959662074505190769",
                "18183235805457940263297107309019647836",
                "101473418188613625787323442604632106250",
                "146757246076014847775668003832473735710",
                "105336526057325530200490313748238132301",
                "111096486369838077030458442731252500387",
                "162087622150515623762456390153375946057",
                "100990786441634856762271380188829037548",
                "168978630059607072466874739206312043321",
                "192969834333860087761998592803188622029",
                "209048110861193275459555712493330724614",
                "211749679953868137323040616963225199778",
                "141602636615051886608158871520617024603",
                "27126670270198312897241930436726322014",
                "221435482782484312349256921702281146699",
                "148939996147830710182193645138015943759",
                "58883321567180960330578887530750563697",
                "334144917677908987569719490934005552470",
                "243411399519399324286298143571741263614",
                "292019133560665075613695680188235223270",
                "201663612161658606572964669956055649873",
                "334854205059024740766015263932286372550",
                "312611545167212465540580514158128070950",
                "325791060039697653873575737215902338432",
                "181374170435514026685313523849765484515",
                "12606046881224295195349007022262534717",
                "11571741849274351323745458647323033149",
                "187556172868342842049617429149670997463",
                "263123299301508574787308045539262167756",
                "181825957493527136472898067161948003356",
                "120664176639746390054998396923916321272",
                "298828188037343468173105198632598515041",
                "44421709867655147457281587581084020508",
                "185899112460011670164782764183214415683",
                "85271652950358028436359767761901717414",
                "102625111827274600100455920581222729971",
                "193960209061676955113718761320400130519",
                "324134954432618918548671822738292071027",
                "205342380741047785152577180476546219193",
                "44465544214026269341425456327966010592",
                "35552047139208840778526499163196202026",
                "247307339069881273558598335342682395388",
                "39610927569058120421727623602900351301",
                "304155061618103726564650368601665374853",
                "286234681323736709949628724826913516549",
                "162061310536131009569304024265611798036",
                "174458101783355259581290672439231135243",
                "317156659521136902117313759154245169279",
                "319897228776709388016344771807917943609",
                "306166798783741365794680199552913230300",
                "293611305557462678500774314896060718204",
                "200144573246948864780474951954595563706",
                "206576979676748674100822335185025979330",
                "39606273976646034071405796892433734634",
                "161940074397079523366337106188836793199",
                "36076672785385994467498530158426076239",
                "308719492346982142543799447883005647978",
                "91655026824009264605691027202648061872",
                "173102089746393764162685484957557065668",
                "100304388747796794162381344980097719867",
                "329926169023357873684241330809435467218",
                "258963060567362788385580690146603580253",
                "175834945474171207089182636628828831273",
                "256566338207901198355150000048488881056",
                "121615446012172173595408376015192087331",
                "128600621714824960518477369644243213887",
                "249198188210565540255009572983918034303",
                "299109474113317089580359642491321366886",
                "83911192367438894972415038993071236575",
                "295708799111032959919508666670923478477",
                "163152323227063923153363162723026547095",
                "261780378449049763167868634928039020253",
                "35572728143968733414733887934802602433",
                "30114370204923504181075715023602533181",
                "269353727578070920128815810225423226154",
                "192676735870386549806739209910713790106",
                "161638415711755678861623843991599994399",
                "164376664548707887541366485449473757966",
                "213608262939113928776172091624807127719",
                "150155816347775072080084920946159672702",
                "158663459140155810497700583364749345066",
                "196653517114112057496537167757372163571",
                "227559949480807260031899094244313798444",
                "212256360215959073653017699527420599815",
                "291797332696622646699198659297980096419",
                "63000419574109156855075544066967543348",
                "331162827442959446167504276536465560707",
                "112303002670591342557438754025158557943",
                "166593068251673813473557447892051679227",
                "23087672980772138477123372221684305575",
                "122822611806608176658500127465784211103",
                "224232403408285958993260901176645571435",
                "249709195814698477102733380186564463979",
                "209130701771233673376488332039022231252",
                "327824553165937665653229780012043300775",
                "205721506645453831917809586051023257968",
                "167178589756878558457429626897595439979",
                "7227193978858061039398075796645856217",
                "141467419105894461860442128313991458799",
                "30665439850460191790478412163399213703",
                "225073230048099720395490342724100920598",
                "213150375679158418387569998648046592930",
                "312994981485915862015469535350339674752",
                "225979560544287775408279619738302907655",
                "136592787584499067892406954954193192986",
                "107798313826506519708401495382144701120",
                "124100100456475291133301502500784967618",
                "221135808603290575992297277663840310573",
                "107960784788440871811601710995660348821",
                "23704069149695534680975340588113314719",
                "285021474266533723669994633847830318128",
                "71416091607665635120832684619364928948",
                "42483568338316157351176206768889240429",
                "280189277353209587896596627928299527757",
                "59136970904206156627302592618632651848",
                "135331500968573033470120729300081293142",
                "233312110948639861378293763563998644896",
                "79166195410305374798947192349274745822",
                "126752241471407902287027694880155654253",
                "40166657967235316335278332918312125924",
                "198931152624656252127255000478212288180",
                "133583538766101421697456354953804153303",
                "31775710476756020646450438156754951781",
                "197193550423022785608629377547670366893",
                "6198795867678087772130806262196032321",
                "54743855059189055360276105068941446093",
                "75378444578900836778322396962940485027",
                "133733491233983739779583206497597804108",
                "255314779714486584170175641068234105346",
                "155797416290113111246084759340141739717",
                "140072720155898912640429406475773114726",
                "197020567706691301080276326774454130051",
                "213384184191423440216799990335457400679",
                "88388313372845128087605901802647997405",
                "308391417966919278784082262522518419693",
                "318010444699403036262151690961269871540",
                "269748994325296256084423615547219705821",
                "230795667237458381190286141658857430355",
                "128138267698507132598385506546016980436",
                "202986181343739556040211088310319323994",
                "153161096175124011862236913290339739163",
                "269744286336180639286952038884698010313",
                "318306069979525941372773810418136143415",
                "106369751845067258095441596080826457959",
                "16626053503034586676828728421511675991",
                "308349716325143815513444871460438665639",
                "176979709375872678378560518148129223878",
                "25787446542825053100524775035344748430",
                "27790914024498264899735612526305077829",
                "128522305228474187724264955646023445589",
                "339418616788229748514828107942006842836",
                "214571984785954766960891896164192591222",
                "292759061193515044293191318336979878300",
                "272966104717860028615822274234175811220",
                "94694137698202452328180645178844046560",
                "113764265275977726329984310568952539524",
                "296514611090935547178618765258478749024",
                "148246663949700055381154502478145922856",
                "106241628321786898589617295975742319234",
                "52008671549371721345700101322563516269",
                "51735445501731254229518084458684750610",
                "336586295591111258640116006426929816445",
                "129448404021275559691348994874623834128",
                "268207321660478620832741104490508056337",
                "298754001677473197930311710785467928647",
                "324424684844828740180790055014341737045",
                "86024704357443271957215590128712786200",
                "61576289110534927071288520160799713365",
                "136654742517761173658535115528160726644",
                "150092550209260102616351644653307558205",
                "247361836128053543591115161576540095188",
                "339113143200884134001971759907268723477",
                "43593457653183197755365597884017260517",
                "49684315614381871537362079339467891998",
                "332651816975002945792176102905574141775",
                "159245460990291609183664101602949594018",
                "259326932213308435103650283803998224583",
                "183200685491219986441236551181018260003",
                "295281992018447746114470122940224968309",
                "124431225200685807775272139701730417",
                "336360434342885199509847107893254788007",
                "219888705273222092949019667423979085541",
                "206478812398651463937541933762283237746",
                "304595802809902045565843015680422449468",
                "185775620776765250355007606550221581843",
                "80504245351875970389265523156799430284",
                "237285601578761960154733044698052753313",
                "88837524442077399522722774260935100274",
                "79865047185131207222975436440485892430",
                "94636112409571343779485024669053172824",
                "166756649898037836657368967701335835709",
                "58141900370610934571958301899899576904",
                "200134148932704271748371480064753313321",
                "11805277534349389201174001682301766384",
                "124998090107007686300930352515109333815",
                "254723089732767299642743884163902110082",
                "186454972026291510394783676168300276155",
                "274414551232981588995885518510139940436",
                "110997764553458169063177190353066827340",
                "184317015375900023599809515830392402000",
                "122253669338980660690585045979602232488",
                "113999498707558633731980277991119366929",
                "209989809010402576833912873162021801821",
                "162972112618879438571168177587163298746",
                "256857745000400092472044208887447216695",
                "309623892652708534217183301652330990426",
                "232100307316085544001667917379390475871",
                "258105124745736352331956622316828042525",
                "145035813289681297725415012143040016996",
                "220945832774520012294629385180051374025",
                "48678927683478419146394364094552373982",
                "104602663420252875761280376813710878033",
                "141403313998144496413980322394132297728",
                "71300727662902918967380667843520000587",
                "225308780355470140145021602157424882189",
                "311806915888768318445073723533107281245",
                "88552238707571989252551133140322355456",
                "186074975425757975098052714349882091649",
                "1001648560018759247079940233997867141",
                "106679022520258484737507124000965089160",
                "150033276714960123141869130946842454725",
                "72083097846824920475030871092580501706",
                "302615046624658052032298775797447570459",
                "324376618885005958126338447241955887881",
                "91579488017077477892134228470523531417",
                "257274290206522542913298476399839411863",
                "326574569972322081041549220425410979198",
                "252224112752789221514456993776984369323",
                "249596183298201916594503474771139735141",
                "131344489031148738562247803803047529028",
                "70348575898753809731059565160777999301",
                "6224868672671098694331940294183967115",
                "280942683830506569331138165061857039156",
                "2150580994934494545804181222226969182",
                "264462137402649532695206603611619095034",
                "101903196979913943916143260523591606855",
                "87176310836032549501941349357518037397",
                "93202922546299340247549940369460597959",
                "303154401416928285247043299422121731294",
                "272539650548178467781681561402255342142",
                "84707320416476849786298079813157143707",
                "296718496039877094945631195111822547659",
                "217569694322587636638568963551384025994",
                "184299857680047039786140455317340491897",
                "121519031869540140700911066542338163259",
                "292149611052723881029369092687914665070",
                "69488154280062192643417729509426232727",
                "288196505630000210984022778285350710018",
                "276544046499570012350549529539328557422",
                "311812194078113632841977008350515840701",
                "80433506436709166198316840846519158128",
                "229639547663679892878799939108365067009",
                "168206926932683100137302627257365170717",
                "99627761857991955256319197848144326240",
                "335723092698203073617591252873685964393",
                "112461811713979909032126123899843617659",
                "263546216856617076610260758647141489481",
                "31377970066355286530490227323395293595",
                "35509685293055511159104828958174103644",
                "13034338626494692237634600176060282204",
                "268152207812997398346547748844549840371",
                "25861618749588703062207159239378716379",
                "249634557159008724021627536638848481756",
                "59986164136847920676716131718357784875",
                "99015219513445717145395373372861304743",
                "49825606724807088148283081395651588228",
                "312204438595617286568551388795052785844",
                "309903468860654631269524024902130795561",
                "278699255398285084852124543425533569355",
                "170114765761760825759635286285247476325",
                "160046881586483601198313225435335673233",
                "88623608063939717956923836304082578996",
                "211269686642947166232193499521188449789",
                "147616689582422532156709728044993046304",
                "75969981700821610246645785823195507721",
                "86449722061049150930473720810288050747",
                "209333854098624929944436407285684535965",
                "249661723495662286929942833907713579219",
                "174885908077089882213976946324577977385",
                "65431258415440388807654641479880748755",
                "261770248017013204907350897562931779431",
                "147793888007865379781735565275643745576",
                "63243580848870564435287546252271956837",
                "196132507446849887178359001437600239386",
                "186437542572050187821010586011587238337",
                "31724946603392732538268110171964416695",
                "23459728377478035715850898174410950309",
                "68976398793432723869685114414247516549",
                "254673911248910225851822276625271025277",
                "113722497474946687693337428939757630261",
                "132026568995082619833274010182111398066",
                "271922175894496199047932752413921642816",
                "239149417378266181957840609866248481181",
                "131513064296073913494610963880743446741",
                "199893064201253386648681681903485736365",
                "142577321224301939794617581040103348014",
                "251656532566988586705045045021978299150",
                "77234426470721670015497176463205981117",
                "72737199361750880381424516773893848768",
                "253166364175482694496903653315188953779",
                "166124757512955293222806388866333788031",
                "327410135059987403519936659474356458039",
                "247860530316939381252138676270154849490",
                "324720051480233468230138078959109416079",
                "15178209123816449638124116342372044288",
                "159258195045183615686797162370594987104",
                "201398424553345733950273107826930275047",
                "52013089250562394877904503455458256497",
                "16226269614598673634396142497115528937",
                "149352450927978597010811938478510230981",
                "107278023765583530488423414919737425433",
                "25925369344556025373604165565432438415",
                "168581795927572670362678792851582805630",
                "145903888997751422010069892951958094925",
                "76206064523682881407535270728250547649",
                "129692215467289819923712129223297623828",
                "190231264954381713662847195470799659510",
                "291314333944252795459979615986701247721",
                "238066052407359233555765730284741285291",
                "98312718235485305262535292231512912657",
                "51564825263574648230577989322144262921",
                "133366068306722001605775165131023602331",
                "4896955217045986863333479875713876499",
                "13191756638290997298556832242023727027",
                "182784178919894986231886813427963093149",
                "209044858208166825000097183285671875210",
                "211714482405463739262094697829388590710",
                "336264445452613353460022952833853266781",
                "229572562684415234000629128870192420006",
                "37807344729138839552229962385412411839",
                "251075345517633592296554366766733759881",
                "269468418807175104011587645514992220150",
                "291871844781993076630780878313721903787",
                "220591734548677430099595794460240006660",
                "32924721960257742064546353536471383820",
                "118853584257402024551407393769322725450",
                "306822589585564085008202009457299605095",
                "97530685394060594016389315640038856694",
                "197635257260195556633150317080206626711",
                "98739103970358318634818471886015668163",
                "3338829421072623887360337362412161995",
                "220896197457477218916663555919349758499",
                "174305195633308899932077780380427081105",
                "282458411373754134428304653657678572861",
                "20991843268216738110998408731934899125",
                "299793178577867313850075197408335565008",
                "138980252549617390302048350520329871774",
                "27795604669321556845953054061193246495",
                "119527346291323798916493274561941315512",
                "5979554511352899381298845709512919825",
                "213935503995250047344050287475406139071",
                "7223625252466903781644405626944135471",
                "19273639067346700430534851512611412984",
                "73162195495733634567135592904231154636",
                "308380794863476457154879915536792852190",
                "142257176424988315198995300668139192099",
                "121133470692503334664223386885632130204",
                "182700411244203308232729175635140623894",
                "88995416649839018046895942686317420985",
                "168344012111258666179193548161842661567",
                "8859788279721338607567513872987609253",
                "143229101884686648554138212816783003166",
                "125308464060272366385010954879808376718",
                "1601566592479619532758756994227110811",
                "213078977910336148243322858311521985195",
                "307277808143872072245752486363498506366",
                "69638106984537273365326073329392927973",
                "104112619458534725231296021089318016198",
                "144561892073552437352975006102388103678",
                "311557611853189971546805711545584238405",
                "298863898040975295738917600454899931510",
                "165349265284378864071987168221531050396",
                "313618468483136642218445131479179001778",
                "230798204647799545968341963154139190336",
                "273737733880223849234672523453940999591",
                "124421596669092127882772917818246529312",
                "84225562065387076714980574360991535694",
                "12384603522718271215769458044667899455",
                "262300213847441281540085813056529926155",
                "330255653476821172444808107896287613127",
                "253018922609776118071189175741962926625",
                "63438584899031410713137409542852036800",
                "326050650651919678482253188125786335987",
                "244266575944232633281983819489992072337",
                "286392200834977676396538018481668055782",
                "189915002829079438345701454569969119024",
                "326922241560139518706668422452591217465",
                "259675578216463098573879503111397220650",
                "330593956077201978873321199485936849023",
                "159720416159718743695029015346890693190",
                "306536754789711298243400930250625540204",
                "245751036420323629172163001510647505352",
                "81829304536760060213592418807764350604",
                "218545062588853224601884923648512393850",
                "153244679688865463927679163185137031993",
                "211925024507908910964240841528291625895",
                "55013788936532379760932178754032214442",
                "237480856582873464359181337313980463515",
                "269050893671903619997109102105946890393",
                "143439922598970608100651133591767880945",
                "2556681166766317034044404628169570398",
                "268830591501148551147752691638631747277",
                "115513232900735660471866730398238406614",
                "57041315708665763864713475671992666492",
                "286563404249946436321924893889366389401",
                "230281984634013108596206480690760024446",
                "67533126481343270467928965326051987235",
                "15863170746816409016887043101505167258",
                "154665378119775251541403878348244852739",
                "86679190289830785437658735212472550767",
                "319278568684416532031140288113118899001",
                "320961937805339260612772487227066255093",
                "49978031359910205047723698938787411784",
                "95674167023561490792447895512218377961",
                "75878098795016710899858381835783389118",
                "112962084032423461170920254830511582564",
                "198960793270347962796293265400751382351",
                "64006976143970379534115038807734809685",
                "37797839512418262135397696752938759384",
                "273256444332943995614197216151187643383",
                "74998086196057844056761388871145141235",
                "121429118095602361470234590391902859498",
                "210350934007063416518981398772000632515",
                "83252063900023510325989887789118559125",
                "256886746782918210003066749816798069047",
                "223061599429948389582065260852949646483",
                "221321951905676313780632548645241060988",
                "77163383306417071323781908893549612024",
                "105894409998303804562115385921574454261",
                "45845829079484852657104069734689036888",
                "241611282651030357449953525937103948472",
                "165192032919870076448018472311511460272",
                "155515506099068354430492537634713253734",
                "11665999559093855438181430050078423445",
                "11121208074906757137232747559420416616",
                "300726381880697244452343934729687839468",
                "111045786761082555683055818588294878694",
                "190107362136429553525585676450945832506",
                "183587794372253021285338463095207772992",
                "94874621108651917064578444098671639572",
                "50643054003463644021683336912504682221",
                "211965490076936834137504449871132642621",
                "142685847425432095007813634312327209402",
                "118176490472465022730644952910432363546",
                "45271050182807542401196608202481419179",
                "284215579134447132671642210778472015079",
                "323389778808756876359088396031912671948",
                "213292479898567659344796834926855420287",
                "252665300622017078055882482873104708803",
                "267010997714796883815716142699825316730",
                "329098650506736859160526205423743963443",
                "241560041968377018746613031260346508927",
                "12372771521491709003520049230032550445",
                "204322529615637915556284111597748833700",
                "129029960550952728324796104487598477813",
                "128773672088778538622467676997220760998",
                "142735676025429275183910798790666686690",
                "210498402756535643258650025429981895454",
                "179262961902860083000852739701122674645",
                "200500146549568056412836691483750835582",
                "200090915178545490453437740028151034368",
                "314593116602385484172598106967705928523",
                "253473405504579582302451489564707125034",
                "78036060017291666186815317242905963970",
                "3859153370242147760507139158005539273",
                "298970877722519468505487777178698194832",
                "96205598698532586497233663299902202789",
                "67763929560724733320295309988208082903",
                "89432289608692207443589882274747884171",
                "10059935959910570224366658066167676220",
                "262837264373828986069875424528691408044",
                "221127144248423578531700328630817023280",
                "119049213949278267083608519718748619268",
                "239153518184766915954502249305569053961",
                "85278598936153654895790860067505537596",
                "235424863052451488941449168021638727382",
                "104798895137965923900250119994303538450",
                "169687818470168789110455441685089873978",
                "278608464277358656214648819293002790928",
                "236455438102088575101458132515557212298",
                "290348520981771508184101447277241148968",
                "287850942456842858788496196293443630153",
                "293953629698075846204111452200389545058",
                "212937289654975157317644125224876085586",
                "75693822422868869404207563964593242399",
                "90290041822186342458285168568881115390",
                "67812584971825802163183407986704106213",
                "314780439003422029173632308378901482865",
                "62405207604358494708433484177532342236",
                "249023896125501803240007900219839434950",
                "95489332932240488734083837249644750202",
                "212334781211414734251893436475187392657",
                "230455007920957354697201660648397392549",
                "76274666798149857732841151751791990758",
                "192307882591057758021466428206897208247",
                "213056864410298565276013408346201575097",
                "311894468203406465611606205347486648284",
                "27709259980489555000145054359796398425",
                "151686248688511332947086167498722499440",
                "146261259765482772260677144897482596363",
                "100294999566882686662559768830846605199",
                "281388852758852042781030882677923140999",
                "98026288709140334307017031387772858968",
                "253811570860208976788784217629657657844",
                "150059400164298944332515550794563913951",
                "243960847317773573527459757267961068646",
                "169527185809476831634420732433213876571",
                "47103105304596135372488509605062231211",
                "37281188485716369894554037268010908750",
                "263652372262469055902971829805875030027",
                "206253877084096630775582541541148202384",
                "194293277678071098393710321067940882528",
                "15751463874873835359779296626649254290",
                "241761618372558141663705963170369645554",
                "256234562553338100748819267962113382689",
                "330891116252347536287005045294781288147",
                "82568763679074981125542532763169800289",
                "200008789712289168083983468002699066975",
                "98435430733721959395434475446677505702",
                "34522134770980727247868319649193844697",
                "330487565421220521186434492910798967218",
                "184065199536397132218175833117124921094",
                "198970419593160544563534778980285942460",
                "189189557754430368576690020122007323550",
                "140919583178658714693035872055512838024",
                "137949850906195524019297834008247411153",
                "176391680980613474866741191672364928508",
                "8071589971944153171761894714317668783",
                "228644661421148387732111729027965408835",
                "25321470684892170120434986193372571287",
                "23290112553553540635454496987845617750",
                "312835710256733809174372574782919172194",
                "2971777979808927558454619679031281079",
                "99307919101102119149971076817992109390",
                "112868718540653880041500582316370041189",
                "189302239726466184170103761156895329280",
                "194036256430200221039313964444484693136",
                "178190667703044991634635475001928428119",
                "324394298851164212050736989909351614901",
                "338235311710897350357258246468477076566",
                "112138183523020857499549074727961513864",
                "155585393931862030479241678233069322587",
                "313679774400851320976073404263226048600",
                "14061232097809600059247629062987315310",
                "42474551220440562829203455977044801979",
                "30265055082978172108309482865683961572",
                "173477939502763559931331658401336891634",
                "104049502003317608955525778701102697599",
                "333016684897038713508281141432346424360",
                "216652327778684262074058577362292629575",
                "168081630961903022170528098345717363569",
                "305772030042854310139006001944364189400",
                "259260358952129641632830045566331156689",
                "1890090910955700841438344330793935257",
                "244684230963250458518172563945469623596",
                "190162877122613103644689525999732938087",
                "279821014106156351130740439480076054369",
                "235307440152169819869922959192910108657",
                "184324910978986289547259229459805208304",
                "126197051497640582524147976028142174151",
                "225341801895984801133975419517274241430",
                "77128167688934739209439240663923171755",
                "19238232664722793514974938088172513618",
                "10366712808936088088667929178115155445",
                "205024693308939270974238007395479979382",
                "274866226689299961721420875101395382257",
                "232027125249427810799411481183089733201",
                "250690433765563770066811404885153635897",
                "312961025787528547298933468424602411743",
                "187468483624291681276120536875294769019",
                "14296017825473494368121271794924640313",
                "79278820812816302766687916313073975210",
                "154797597454955570419044107873003153435",
                "131558580487158130542411607824437940511",
                "152567505758010945978089607062752302563",
                "171447230370658669138574565496386713624",
                "78009309448749304241595026758596902433",
                "208167010444065773543343156739209030834",
                "221966904008681762738116259347602347568",
                "277062175047098767773379095888571560810",
                "76491783015495466007829036575291696468",
                "235795146715021298892472753049102438441",
                "290643925835390529391070147956679895758",
                "260039982085899078304695416938387039024",
                "240526965456892913512427695887435757205",
                "174652241339477923893073348812292020664",
                "56709778256486640581715351178656234699",
                "256077848153321864140946373491132055254",
                "218652108223861256748382205328625044612",
                "254447197942521098590720504501777064916",
                "141678668110203500142751639243444369291",
                "183889859549183600447821866903582513048",
                "316549359064978231018817366280933928470",
                "18147249587212795683203856016500027744",
                "79594627338975169486319311543216644387",
                "255351686154847276115673023473202641987",
                "203807563925656511454638861759308204411",
                "135848867739064642109801907954345125356",
                "337208897427853896190108859204410562436",
                "63319155546398951578390493152141082387",
                "46827852089551681166893910717535843535",
                "227461974909135160938822032654564913387",
                "271101934924244980601595017143838962916",
                "300399218547825102254186268323474005511",
                "186819790163638018810750037702028516970",
                "163107013234961183213733167306416496569",
                "144697223514081418213190945450222166048",
                "160624086292499223401652199580278019559",
                "56740044587151993205648226725841223390",
                "209570225037243708803783407822267602958",
                "38631753813206938295804641780086583340",
                "301370547616952773988448314403906389922",
                "188994989591151157852206855943711216074",
                "182762495105060455612693891534711194668",
                "164651413267198399377576842206006038135",
                "155948096411513212510356497747901217569",
                "109359895327750006205412504817767100897",
                "111680576541353742374407546271807476556",
                "325203944452043955613611146542492509438",
                "210306656561558205938053643409001634558",
                "70661707588892330019825061373498856523",
                "246774809764130976849117463455576482123",
                "624160101975858760691311637707505027",
                "293178027661738659741212723854377738087",
                "291767224869153438635318908852979549773",
                "161264721714845439389563052795624794613",
                "41273480439520208322861618772422425605",
                "320183037703443948513513042808615709372",
                "133605639389714228908041613023475920740",
                "329758281417696482176052035843811913921",
                "35725704288495709402591720640147594342",
                "119152069080633921746282392475357929774",
                "259476294255860237987120309020138121990",
                "95052895374115239031656885538148383812",
                "250710541792629929964675828180787747049",
                "310162341871768878619051460648022429661",
                "275812815573365684092024455326734060412",
                "88436644948346372823498504961737074748",
                "233197649639414574618387101334525665812",
                "21373399731256776543397664701553335260",
                "78580962868441267457117321984158960833",
                "170133926009426174867472959700947412370",
                "158714350579006157935055665190463214057",
                "296786166709252035089441114414789655942",
                "330643444113219223420295298767271436413",
                "44255162250404132505837595838277009972",
                "236832664403089000771698208634304596692",
                "216743390971551839326374848558235876505",
                "313888664046766880307828249205645291040",
                "333190994098428177794607474027892215563",
                "279571714879302106354991020566148852881",
                "238271460591634210532272535948098970428",
                "200039464670464836520885093696114333595",
                "143971108188210576445235496632082880627",
                "335491321476708949856358046859949231474",
                "339395848792665755740640923678333654322",
                "247734928920539545371074354923550627802",
                "67371025600469509181672079823979695736",
                "264604912968199535616104136569944746558",
                "50731907528100568897999845689532809995",
                "79575290735311897107262847074615064174",
                "255901810668637561710303837160750501873",
                "165509902951760043941618558519036082361",
                "64961373669156915429200904278335213907",
                "137527180913106867066506066465654787371",
                "136383817666338754150508339173383826499",
                "96943884881996285049591703131925949381",
                "11233003894355558143971810267315654972",
                "65976165737643245768359433465970771463",
                "78450040003780791805990556719076103290",
                "332306708042529660306091457497476142338",
                "13544252422484864423221001619292784370",
                "13422930502992034000964300736825521099",
                "154322850149348320560572159068763765331",
                "220246067868221002627157278442703330144",
                "278299394493800092588913509847219083899",
                "331710856447236766305675007861531931429",
                "203271786401107837746434469419923735815",
                "6484051453115171992288193293019252386",
                "50783331547107291485254737183123601888",
                "157981467967474037252356810401888441840",
                "217728682507598909846429806338327963654",
                "154596683857602754982938511308396931588",
                "99696890106539473179458333955584522534",
                "62823580760794057085660456051023054340",
                "248504856310277543663691166828231923434",
                "20645118441206471947316827764309216290",
                "66598181565552648589011673136216505836",
                "236767895566320805228524710764192501276",
                "196338002916482462377861087409803149939",
                "332049098955620305589178332423852294648",
                "226312110507503008707638201667790068963",
                "237145596242948951656887233117960803850",
                "85288455438559737994116902929176982612",
                "169017701843311310084208979202744236727",
                "80779663174616737614324514827785268012",
                "92777321066564222716705450231532229987",
                "180414425797881253535850631410764144497",
                "141784120729222093642165220628530250750",
                "234174953733156126006365070657027543332",
                "42300225816346397767117863513401074425",
                "12507208595208359336151061027827801817",
                "259085526744064556175271645107247481707",
                "182461040834131055444379062673172593323",
                "144946229678157239317453384831751463631",
                "324662583641344875180754590804391911556",
                "186649887293963090384752689630206576939",
                "208311011316857602373636870857898304534",
                "336208142719232269041057119351145258676",
                "322406415301435676604125344396655298770",
                "88938582104448533371344433080423214553",
                "178853487500648078701197684016003422661",
                "249813893367013290105411992848113437504",
                "30586372660545128982215940847952392620",
                "318491845389101746319730789355271778365",
                "332248518715020938426286425308270684626",
                "268130576418581366371720570299804360451",
                "260606104009550547549336883116152666807",
                "86403840882473606342035619202734429702",
                "234596876847522149534636031251832586229",
                "54619842531325103936928984161601787972",
                "3680901563826199603953040333884233426",
                "254059777876541285761864938821926640314",
                "264661553790264832143244984160629498508",
                "238875676391568438978374460362911925581",
                "157135898444543899306654177240331444986",
                "38836251599125757357388103480399745077",
                "212305964824618415449905704759569469482",
                "309252874699053420001732314910022596091",
                "184181435241250185719993867231574990958",
                "279076681804849700164634664360200883357",
                "32986145388108663316359797676478436152",
                "13426566574831214693798570684038721266",
                "303651394171137281668998168218966341786",
                "67794762479372282050749937867321814883",
                "288719144218752570769938350399444238655",
                "189955720246558971089493482775812228065",
                "212502017262633834247253887781484221080",
                "97232638823021306838782103691312162949",
                "7770619807501782648380921013822899909",
                "13663353665827551277550047435093044263",
                "75982844287887087778151003325279625591",
                "186879616547539049315818179227021569805",
                "50360560173624909036574212178229587961",
                "248008701172228560021307154840680615027",
                "185892121994686558621794113647975155661",
                "256838150758506896151799600110598633607",
                "237134089307952432158955128509106614232",
                "314556493048919141587156728163313961885",
                "325061880330765385549134619444768570324",
                "167788767116993011110409755336843938359",
                "39390426371861052053760936327457083708",
                "328245200599464028399686448761591910195",
                "268322666370167654414607704320804617783",
                "184426265417311568163859676057392645485",
                "225351739822659963121227873449152640855",
                "91972057086725845563327177407663637456",
                "46553014615080172351620225053980475346",
                "190588838077820280237738662898850844974",
                "974126668843179087264254399368491260",
                "306235559125042601020259821008889971907",
                "91171601622623903198967190666427612213",
                "299545408457346392955576589280405316861",
                "325919130399534741002241831964574056302",
                "114743456966324609865461604349746908115",
                "142403966603493896763689732540147760508",
                "73783245599482017034612299578707621534",
                "193027229625459419645568615101896179414",
                "109435520008149451561777877979328505349",
                "313545909819073872349138575475881259433",
                "137499878733026894256193560939723840535",
                "105059648972669100236652428531960277168",
                "123988776077045341265084033655875734087",
                "2914333340147152077914689044183060565",
                "17065903950723397189270001130371005384",
                "253877877121948473750746681266255751781",
                "24751128473889198203095646975810684597",
                "171038671674924646829231368295097308383",
                "10240287146246493974063755815278421390",
                "7368007254565739598893585016834092799",
                "153669735927421174992422647801269489187",
                "90679248003450765292355539100850889288",
                "147669862484009585511972356088633728902",
                "206421097929171699036950365245326406241",
                "156776028433249323589099233619491936971",
                "271513220692412004412269879447565277434",
                "331380904356893792224583658702460464455",
                "87310593575285944226906574156349911413",
                "95227287734490970394265128284342902041",
                "334711813296639956620391698358728672899",
                "144537321373068627910394143649462775927",
                "21442261788723510246857033222687910662",
                "292084545975902473354321666973721271601",
                "117517405477950251141299176706652235180",
                "131823040847901332533819409727830517219",
                "61351191122244903555581136490153425017",
                "146730747597265821137092354058172783599",
                "291631585351661995031674710203725024898",
                "28247796150502623334507404221536721653",
                "220033118736161801505454877950292949239",
                "39825906204550700683510373674307642748",
                "23415656976264850844327811819935126488",
                "183553121725171315260137980569595092933",
                "151911221288454038843398189333084356380",
                "130896090182740132116946356159249084800",
                "277245911954731667715279134753284556103",
                "203190976110118909620597817305227271562",
                "263303766148712100377059097848010395397",
                "114027287434991865147550312843134925937",
                "142318659651114508378436428231680708771",
                "195955707678183785237410914357015631103",
                "211044613232254115702352743453997905811",
                "22133411975888486609564411015823639138",
                "266263772071302246220355052616423542864",
                "121600999550203876860968915126118471220",
                "146476939014591483918813528464184096151",
                "107950386649494614131298078549065989650",
                "8108771199819309057510048140080600491",
                "303138156475695929621186820182857861454",
                "319160838974699903069501625429408015894",
                "271556787912122618127871697671973944280",
                "104623900095977133645532067601653428088",
                "62941357495391020336741880314732880471",
                "25984843393367515879269333587782824037",
                "167390254646681052368751826803021555076",
                "160980516380465485914538870691682262127",
                "293522088661498332210251418759900398290",
                "10500483166747647463361380635762931365",
                "155741781008914405349443874315695694198",
                "288392360101306491315134031391864137102",
                "53835778514406938891954538900720412169",
                "213313998515207755126090949788800219165",
                "324753070702845757956110635674285640619",
                "155502216877252163219024651688126304549",
                "240414877325799386429506211583873973449",
                "123174690035959439316192479606817175071",
                "141220365569262170332560026721754486938",
                "249090701914856706442683987586612743856",
                "326755351116631752051783677029331227545",
                "43745955078067813127281143852752040073",
                "20617274827793894089494195235825490176",
                "60015213516053729493762682489483985761",
                "60753355307833985070928791447497021315",
                "242285559900047899218039333802161194357",
                "264194083644873682079847710545353141272",
                "107826968963542902557675932474622368725",
                "231825463498976625624154324399242584197",
                "98637938626896400099649707740353197147",
                "306953533069269186511338371148403997266",
                "53825107182875215052554989834258985060",
                "156946294847824435872626050870983837722",
                "315934932302816020693094112407304603605",
                "192361153335489761973833283913026657587",
                "119382012420659205050301512786272261159",
                "78265722772413888077744905411913639131",
                "25618064602063190643431351532059720020",
                "10762182465129570467134584256263185552",
                "116049951022467763089315554863857429561",
                "68926375224414286946322889123332793299",
                "169630643297085515012486508640872616057",
                "82925983960591000203916492358952261727",
                "46760335925726601823305284183917763386",
                "14676207806252317225144440339482892473",
                "259414545817147097196600202697439744103",
                "116990356616035911707303138518935180315",
                "260830180535981351701099523291438544189",
                "328692348001720482086931108321138399235",
                "227766314104908321907548890024183202884",
                "184338248468495453924226930163738563052",
                "267286731470996003579540091738488582290",
                "336136109679072276719360840647469814645",
                "43418368967368190325663119826777139245",
                "262275083408225481843654730189514250",
                "241172438846415113635572847970714339189",
                "63865959558730142303358468533162174911",
                "23456225438061586325413013704198765030",
                "42934487803622499985073809182863236546",
                "70433210210930543779842093251490117777",
                "85593538993926949740493193363768143169",
                "328458609561009062591698003950463065110",
                "320467650308434707103543564897777447252",
                "5022084641665036590603263304212805906",
                "235446188304607126460140285916946560761",
                "29987850033581402188880137721947481072",
                "221805813986734213880707015498659962367",
                "83838092556118747026404734498838489065",
                "324224375167968661952812135576837877155",
                "193003327779571280824135208512219003522",
                "175086438284776405449079298560109812268",
                "35768376159847675887224583936795586175",
                "34283362241549188631893064976120421440",
                "218831492819862161508757649410598481593",
                "75104785384457534568366153900553017198",
                "262734282535592488703902279967637879401",
                "215487998906846748208305560194551501701",
                "112487213712076007257758781179196071370",
                "294269090582526389560248041445011923726",
                "304622775195029225464163352403820163603",
                "212691199848504165703254016525702019488",
                "74346767850704317873516495137427019614",
                "209725512556787896484454107965788765899",
                "150882878545676744608577417099402515715",
                "72099993180089246140549022237880907645",
                "315265662021501510384192239098672809873",
                "112900535301021308019315268312178665711",
                "11279858182333719019087578054993827334",
                "138824097918276421023919426864497000187",
                "184640183102337586136565231162759140484",
                "331727693787339910141750944586690127647",
                "160885461327892776287186765581968203177",
                "224239240628225280470457458431835811423",
                "247693053891302433047704224807648044168",
                "223119830149236766908934880224225704074",
                "293403205836501138294204228534213082017",
                "30738665519957566109107379436066991670",
                "157766100775845420456362622241362219456",
                "204054865227340198571873620788822258632",
                "142101538036437325964905366289258090773",
                "206112544056907031756463469280598469548",
                "283504766194724777705865222558880660165",
                "282440559120959395483371010662933000177",
                "156613406164091289570872043265307097957",
                "2920190583577378580742244886463709982",
                "283242784772985816085312908754484533509",
                "210285744067174235512856823316978239483",
                "79867492257259471727646922685962142630",
                "296712698279472713253668352444377282431",
                "198639461447158464209614418334440338214",
                "203767141461876720633530435313180814322",
                "20212093377912115391615084093007629809",
                "312530537231104429805695962779224805077",
                "263622399314654441752220034636867461766",
                "48884631445040440886091370853085175685",
                "320553241330157090506758447865168686133",
                "268931887134149081169792784166926473153",
                "162932955015426379747873564857194468212",
                "125994999066934208351408466947658415454",
                "311069796106475300756486806521645682850",
                "320223976616044460039630907451243848160",
                "103029888601645460679092426314175829694",
                "325537376589697722224723190982803447463",
                "169669791936781219099723947480394186822",
                "334334684501071013671988617196635740566",
                "186347282254996451813685235931195038741",
                "266743719941189084912692398109522648663",
                "273012694044308483426393698408078269934",
                "74776681288424679743417824053056025775",
                "305024947730415500583292689279505277224",
                "267511776628138414265138063254713611222",
                "327987587674648764301074235315665448705",
                "156198141513087953363871351148532338843",
                "99046051903434383371877564827614592152",
                "246872972881488283427392859892061412160",
                "48112882621296723505398618043881551704",
                "281284501854660662671321943431233901072",
                "55925115685847257775731749609107019268",
                "215414016078592797784126987997949233975",
                "8940435628037535769372364263110975581",
                "63308350849970365582734847467321389477",
                "91076219025859815347633335478458812462",
                "63782469963762350793046677852225443037",
                "326908310372127631990451563074778256972",
                "206329076576796186575381096807800829134",
                "271986088530940740461565845239212937306",
                "85847351699076676112012812220956503789",
                "24582742677789261713725061675278565228",
                "157845764842596905957949140816925509430",
                "296709717464310276820623683616154321346",
                "47609361550348273115406056109901052669",
                "223632763897487210976891714307681086786",
                "313771611066879506790762220975372099778",
                "91505959977410690738904680414330346988",
                "231871718689643519903014553385358306846",
                "131738469180586862348517365114882518955",
                "21659204692475367964309871360679796754",
                "47055679823617062890367211880535927725",
                "120768804821283772169762657831679935303",
                "174602429379739008792557929874268199825",
                "280969608415255701564037411265574105815",
                "309280040517672329887742342929958969905",
                "193362511990891285078530053636633353154",
                "153206972952969073988062243171313149083",
                "186718590289177631004238069754902444866",
                "234820399391302201076017987627692776771",
                "187315519380480690526850722968199688569",
                "267135042408601554579340191026261518705",
                "290747985996126551122537695742978346802",
                "164656202988550463479273912703041136155",
                "52157655093186468034407871160366560555",
                "278442001275354200842747708335768576788",
                "207774571514993133940588618714534565462",
                "189050502443238111722304952615980021510",
                "284147131185162349936802408677174968054",
                "322486172862895665433321204964310411313",
                "59581474954535256929901162750488055306",
                "115677984151320252043680853843405541531",
                "166587661272346084048625988227065964171",
                "195716757591210368300594776333447239805",
                "301307754806159548134681807575705728344",
                "15287062175212346223966518237260068098",
                "321315462525011640038940917160590951978",
                "19796060381161799932919732780215767454",
                "92142087665476661593010451741467287166",
                "771181501426888306414916657832209192",
                "116178453283937019076323151683502264126",
                "211148115251142312762513894069459468477",
                "78056257209060239959610380616699915390",
                "207845691551853008210092694428338694690",
                "91177591943876012389294424329744445592",
                "203755918188285588883813470677160406200",
                "105200856114296866541763027843203275638",
                "1176167987719971788015600874757297572",
                "62552768315006452088791425467374622075",
                "37037686376404599824432626090968253065",
                "24546327805790218427744147292898972217",
                "319114537608364815620774596652124139946",
                "289085981326027705210342904473821146493",
                "102635558724186689211635954171447189436",
                "6465715164845795052340568144625507339",
                "192521394159802997205988431428587547921",
                "101566034804952537596735938813789502246",
                "89645299350286044635762234000474290487",
                "46662206306248935049950148576049431718",
                "300910646079143313268044532774532599249",
                "60599143520562481617227460498641278478",
                "2349748076539653577311603093846674930",
                "281727810800561295649138961556857215727",
                "154905275868729022247067478370454033041",
                "323496090530992069223865671273591653152",
                "198450234942639543199508296660263945934",
                "218179017215102171305116790142946899566",
                "178383470804901173525536556747482248009",
                "177563070504000539754253660247323945788",
                "181168518894832140635314882425583808264",
                "2391426299879390400129196214537435948",
                "86946055649537377598048116184960290182",
                "114048800876718052341885897943323251174",
                "108018192346202101858225351828195859724",
                "289573664704242188816538059938969433561",
                "239710394103948429913113729569076941451",
                "31694923073031779270774575088857388456",
                "339072315627491586151885666343584915137",
                "284041012936414256734269379590233004906",
                "163108681643608029595407079800094665551",
                "247490828315389878115434635430085354426",
                "250851015413032693027032867271004687006",
                "289453509926276479255341174649678287253",
                "297288479020566279507742011286400408283",
                "97955188767448532950177088043457539394",
                "329980631704946151039552799584492790746",
                "103283680821530675108071726587091881161",
                "256593420015814801867281067054460532415",
                "131103671642810592508209392537951797234",
                "144788107195386060434618784347913259895",
                "249930075411632108253822587023034894709",
                "117846839899701217676462457913850240583",
                "317498624403338518968428506060071362857",
                "113373376841088097057756117802202774828",
                "255365131779750949802881964002558591418",
                "287631785515966058415253144736483289256",
                "44761930853842018453758307269808864004",
                "45024181503292580987160143279738002007",
                "226412419424713661874844018688164371238",
                "274460556172689439686919777354889303012",
                "285134350088072352560852024546258671749",
                "303667754014269368145887217648353027666",
                "130505929695147017044318893995862124700",
                "320377616318776528817599293865748110919",
                "335060646652697102905464572683217684161",
                "293150595435440316467271732726977540819",
                "245356041089106231357846598227139237187",
                "288647235500261521587710313791952923303",
                "321500659164084013506670022980395918032",
                "171188864027118566312488494238157506408",
                "169687111808527366540447182376601651354",
                "73764608732098051706323402741820968527",
                "293504112745185454556454266692503149621",
                "74111424718191224035030533018024228569",
                "177664654709834627966619707456760164499",
                "274188331709132044257488256892053416938",
                "51444898659872379455904501066230008374",
                "289189682772133477095718262986331919993",
                "110241061051227264838246649978583704917",
                "22525493386922838109740817200886711989",
                "207061020972698121006560568752969798754",
                "15112335869972160858072969945559395816",
                "196628236842824684803419703131035179437",
                "174786647841460808383755540947958393781",
                "182498988263693524223714990124228509878",
                "38340900792916016501591191090033918374",
                "43685352479701414522739762982124826832",
                "198900685517896912316453491274000859345",
                "338143083191238380653223894511313651907",
                "270462866747634290663266144976239053658",
                "170122684491907414492334111553299579894",
                "150750324716838335246629805362524730675",
                "227701167885289947279123472730450981907",
                "16152259818836562988058720051419368151",
                "37269574315016827866610246910832001913",
                "316247273933192068779934789686813713501",
                "184821478962644010724180060284212544428",
                "281714895401341270565246080860757355308",
                "187671769905486525053917820486383908985",
                "330454526895762871153278208148414744583",
                "272756542081684298517405970500741933822",
                "321418031373721710333280586290194498265",
                "248684782312738998988925307649101484273",
                "321973413191503140098961389213114795786",
                "220394811892595629243823900252146341133",
                "206231519658546462519812234630873703962",
                "132531597168191240522122854457598372949",
                "125152818576572514118186638266449734744",
                "142067101636666204603752516584807996311",
                "135401110322888551151556929958407902274",
                "187907393372170413692039648317309907389",
                "260645941931547597518629313597485702144",
                "105750137918339904500615333510582692089",
                "238061978504788967429574537017850173157",
                "225676448432474092806373764709722411685",
                "235875845391822293216092677691876264832",
                "303063965109675811577131535494656351531",
                "218256999870760728648978559869499229421",
                "75118745953431302692742195424590799955",
                "255409932234331370792653180645366004773",
                "275488758990484678496768313340766023713",
                "15527583170843924696703067811708992039",
                "326394032594593198372251040849158249604",
                "254678643267923052917465167605369884238",
                "112564586441327737310662167614559537271",
                "317337865111810447301031231652388815237",
                "170211176658124754869065937787206027472",
                "280247074541503415133993504302785365878",
                "136622605130752435474295531924106936089",
                "199145796564876814418902353589648742772",
                "58275845939090466970628296603799233169",
                "121673773883023397898839777678539751517",
                "57361856949278443099297612542753235319",
                "60602289311958872579536797612911229310",
                "277933426616000487322808141965795985540",
                "120854772042076432517572562757445530411",
                "49515190021488821876810848822961433666",
                "330186768116390738749188485660844675161",
                "11724521040474099596366492311127519907",
                "297472685519153659138731290272090131978",
                "68469458814859999778842494128298665941",
                "195317064888510622018507571198407944931",
                "273520379943268952383059253169067387081",
                "27375196461015617028442620081969320820",
                "224620110922022639360242864127571312464",
                "140040992055388097916524842408306325404",
                "285519026150733343395728009295138772363",
                "209783859250353541767099299323735839002",
                "204287654005565790550043480832730951064",
                "41611994702151025198743036060347273826",
                "148190305831104082412841079387154433828",
                "80099012089446773140494652550008842438",
                "314412296469797912371345155476895398498",
                "105658454096122703737113690842857757232",
                "309486139363420111152681798088623692360",
                "40933080630216116165123322778322674634",
                "53139836947293432470278305225393105550",
                "72668617407137255256941047465145566585",
                "330085069039779035798969588554578922546",
                "164271331019455641065493555993060703630",
                "96046132139254490844509958105318086017",
                "335398916291157545409470600834237662161",
                "244143286926445356378681001400711541482",
                "155744350148631484425974726928094772012",
                "24994341680161234702840385602151754800",
                "149512894808159426527746543944963826481",
                "286918182879899110554418604604461962789",
                "202474387167759669547378740527928274684",
                "283996484202652949035969097013234818652",
                "129652193026927038783172157710643636618",
                "56512577904454476032947305641083227007",
                "201606998703106778464634302632117224972",
                "212417521758228224321604637006732262588",
                "137329299442103692155691812795110633685",
                "33909851072781656788441178041007468916",
                "45712910181621271706863651548455681622",
                "191199670289447218418010337585541832508",
                "77484042256721272875627715536464749340",
                "107338734317350385616700232197861341641",
                "10142866076795051186730140730397240895",
                "214979206812368672653163562666438339836",
                "304764109583042918145781549134758001369",
                "205915693054312845175267951625125222847",
                "233087017200855324942488244417586069276",
                "180304748610453122941260374787962226519",
                "191862878501724043919041279482212790637",
                "136492274895997293957991082635150299139",
                "265354807939452212748948100655948858837",
                "35270075744316314368530800657065318720",
                "254765175004293219490831748225112424055",
                "65922596343217401033454164622657682152",
                "71853289634739252991491577626363926321",
                "264286358744583065707601152371800361123",
                "160001095826255157096335488924588397583",
                "44765544939111976359579788937314131393",
                "215133108578479481695159758986173579280",
                "176223456813645465066435941169604676056",
                "149599484335762515034593739888602997411",
                "163857773234718627536253046541504977973",
                "338554514606398380195037953446949392866",
                "187568127900790989217388954300378443262",
                "304057777669668064298068344157951518268",
                "233187137833573437864590796963564659956",
                "163687919536472695466878469070964722982",
                "303712987609374816530073497247848749330",
                "142385488681599792102818300721621086766",
                "201285708253626063046289885377719377730",
                "88042970518114362251390709090636611420",
                "146417469408370527000063731937837176811",
                "229869863901843506063240456497091272074",
                "228847691459258829092542778218700728564",
                "48232167598730638416950889233927315690",
                "116225899965720096776412622647718160684",
                "5499667688281645399950571553067232519",
                "246304071073989769396352940927614304698",
                "265706005040870667577033187739270633970",
                "47379098454087946293651204280317691893",
                "255199396338623543508500923777858838846",
                "645485455551942468672067865355051190",
                "54295831239598423365674496169867202939",
                "196513195902204239710037397709130671332",
                "280551523805268054893033424168684017211",
                "238661855169582642350354229574806211750",
                "201985279397808219897024327743945497759",
                "217172125207250103572914326984799403115",
                "274556201384966909418727748518414057514",
                "42252197859232955888466795128714888413",
                "81517225202106580742700299478941993343",
                "264425482192389055275771996921794063058",
                "212366870064178346630726169013399141706",
                "124742712140928240645351717692033121520",
                "118617995635978467575817120934852307402",
                "141007418456846406556299081749910495594",
                "320102082441886844029580996229397347961",
                "183022135350493845106401753270471695725",
                "57527217777896178761673473122233281338",
                "21074567550919126495746174525520813205",
                "265627658204776301875388590632463407123",
                "132090404686666303303992040335843675914",
                "64477989393097234897299743274232001087",
                "109757834202176775562352828877736918194",
                "265934569843540689295831090262681782182",
                "103067832664189597143645974374291473128",
                "30560609991275460388398390657787196257",
                "263784027290645251988445206447129292782",
                "259279558122273280979085022510395234148",
                "322822633729977269137379646978829522598",
                "145209372196142051403323887175580783472",
                "162165984156359418824776457140375651646",
                "63619252972967081105761568494671894516",
                "206318949093065215030429156918115993395",
                "339981123575706695872113392717411146839",
                "95602768996853746270500322614137857479",
                "51108217019786059929986297936768216435",
                "257536622751817543523295971315361456328",
                "2992412760668294741195687943264723077",
                "193999207019921585374169430705019247234",
                "143700423939930217003495174637519852794",
                "161874249070036881704474466767282902631",
                "48153635310907166386589643189484462206",
                "47176868975137457164845975302292074316",
                "202893488447793375327088057948584122511",
                "233244218048801461385177174506721818684",
                "322137727186993295678678709607230707536",
                "2816660239734196164551963467462251068",
                "212910174906120097492920784768444448124",
                "245608071101233597369799211984842148559",
                "157814461961674970210498032705188903965",
                "311370043043642966575900800005350315453",
                "293291795180052856157476448616147785628",
                "238737763167951974175023172890372047207",
                "74882306134888406295480020749183232561",
                "186580046538912224721158621428405119158",
                "227489776200457719066198179854861700734",
                "258680447798344818670493434501075064982",
                "191328513177555482736740922057541672965",
                "209017346625960602726162343062676527273",
                "99463508416758189444235550463420908755",
                "146224912155152773718834537466967058075",
                "293058950796393189214791380389292066335",
                "63959675535011939441176712909032428766",
                "297460010789748835415676085933144041462",
                "257841379969088074850312657973436973862",
                "127267101359337939923676332855451824577",
                "297937519995067066066333547713439521319",
                "200476897995021589164019806484623287168",
                "182655721449350019840101342505892549014",
                "9866885786066312370720659452507428425",
                "140710952424459037581697931878540108171",
                "7489696326247694094031597538509759900",
                "154697521404808767594395071098080422062",
                "6668378387313483199129010778521400142",
                "252855389850304073555112875638189122733",
                "267553751538695295010592621158466698060",
                "306839896424560717848758031705050799883",
                "83206205970374444714604518896655912422",
                "256980150120828857876005506378682712186",
                "24033149499506760612912297512911695537",
                "30453902412022165422113801034808891812",
                "12174363006827855604581936263396591791",
                "75782416220863056779418734809380381261",
                "20710472496167356874582808774828961881",
                "126640143964230921661328676746721384604",
                "276426933425958057510649444463611147724",
                "258310557993684454851620680687994032984",
                "234884525105972437592028142699826968580",
                "8661883501524842395298146347863442903",
                "99277650777373721422132360941224481341",
                "182301721041235886814721400297107780777",
                "121134044855202958358245179770251394894",
                "235589698618312388210502971055439813977",
                "177357836779118980049056130117651436202",
                "159979346491397026735407427554617259346",
                "252973473533129699432334977844143500348",
                "17583007775920113453818287048767819933",
                "286223844443671522680036526686651305405",
                "273342409654189815304518082833192998127",
                "26995385666402526610126558433606080686",
                "162313745989555046746902423435835325378",
                "37253421395709830219181825304455718915",
                "63577488588302324068882841847577372705",
                "201821001441824531799452752830665797344",
                "314712627893959744066583812327441230765",
                "172052287737469521997228600158763609579",
                "23365613261696488621137250963036087774",
                "135970727261481439123321056878374827404",
                "128251997186589598996484616432928553066",
                "328093507370663946952976148682104489002",
                "210567067256847102982931328914646373233",
                "160321766066682632928113022855286530296",
                "261272281981760065332717988402435851000",
                "154275371340790138972977828239647796469",
                "258928107302684664766700219376291115461",
                "123743574048954995743648464322676172413",
                "133926415804734418903748382002925676750",
                "112273115649884976777825256515111582901",
                "260804459791966777462192028142198260082",
                "118436990961385463780290281837464286048",
                "214194270036582184589292688606311754584",
                "50018055215875064779438501877501454756",
                "331547344736942465629084169400791017673",
                "180031978313246945222107865019952219507",
                "4556837076911991259166795224918671075",
                "41414325970669317200918714374028765029",
                "130218296238041171815731865733331816294",
                "75947660487995566538256891886496838380",
                "107474082186203987789068483452740572595",
                "182263573615780781872758881376991688615",
                "208762994796697965444901500256480551545",
                "275934995657031418894632829063270876097",
                "101857510121207782597636778084525288117",
                "330087150531881135400315492065633937290",
                "88060135164035255823909273114061356409",
                "269688453263926219222726555439341342246",
                "57437751593728519887081073607368076889",
                "142992587271957982481033835762727423371",
                "323075257228635534473612635137908487416",
                "151210021696495263637584059556837468970",
                "313307070253413729599503888669920695221",
                "139073290607218143948835474201310941863",
                "109611199219251647951021275130942834572",
                "35336597168088443290858075304368537823",
                "301050740604868231933116428399922242505",
                "47568204561473415209099129151533454502",
                "224136380384784228437982008095605749600",
                "208827924787251708549249610171459844339",
                "275088420627098450846484006240282245059",
                "71657075926233777029916475901217087697",
                "108779985049465452852897339298516560341",
                "41363783670073606355025963461435904551",
                "110169041168703485956707892103019280968",
                "197799366267973551533973328094269770971",
                "283549474574687031450404539098523153159",
                "44407868339413224679002546856574714504",
                "99504822379770448276441181925709603338",
                "205833622477639524525395411587346413074",
                "212582880575082780208222445804570082747",
                "3913322072692159729375040770072023610",
                "217962663802854026955555323032131394690",
                "79233707226553257603663781208338739536",
                "178219838621685520911509842059933944175",
                "84569432645092160618274975818516120471",
                "25401793226965048185102839968446787247",
                "326290648767024835202511011672284383998",
                "313268155388470254408771345496302553952",
                "3514467952470467933246519386553008436",
                "250055043243370164653837486584343174428",
                "338813109471607728574534247030207209477",
                "165478396169430782349098188285825235860",
                "153572493301705279445500424106971815969",
                "305992102416151209800434548382553550268",
                "11235739025165621262464782867441576930",
                "337031978640827930261023235618012243271",
                "302316743693784740419048564266243474329",
                "18998924533826168207606922499515815485",
                "280181222475039625920569882780479050151",
                "321723316727264601885785515055322519209",
                "72865036623158454333459056694322472860",
                "101672098347680340428227797877409852402",
                "4976863527348323861459371237938677365",
                "39410419618922254042804035774653286702",
                "273716504214454816470303488472841594119",
                "298869693393798766779963199393248567650",
                "143524685987603669720013150323540810696",
                "111815263260239638422515111308299511892",
                "158186849069637633192867605972336069971",
                "267542616510316748891943070800520084478",
                "5377118742780302473475792476973197396",
                "219151286836680583633105135435098492710",
                "15285415715478862274549839854458746238",
                "183655720624137059778008754706293122605",
                "129084260474162722146421342052964861766",
                "220608952118364432306113522508826958289",
                "251205888038984531595925489855552288525",
                "204939960355995172892111415260058656695",
                "39524215082341806724531153555499264185",
                "29806718630401865624638831196434933522",
                "198469096562027354334405371082377089814",
                "329998647720512907870116515857548296781",
                "230665786462720301971334646851097491759",
                "48544834481336160999743919962693431662",
                "72963859055128072755754028622957309163",
                "282809363465826604681739983596101353242",
                "230545754730533833561640524985153147646",
                "170134879839906895001281143698194545369",
                "167524486068054185254690799259763853582",
                "137525837475361912357448270368709577817",
                "315126745064585203309041589348721165087",
                "271763227958185152629122544943614844676",
                "134665466259999082587980245412284564351",
                "80276477600629795974703369162626027985",
                "132021823779170422116098477309721096262",
                "106385633344962019598547156947253521992",
                "202140968651407053310831321053048230071",
                "273459627769194009460964851154774862043",
                "304062432326429340562060010847117109347",
                "231064594737931922871390305764264907013",
                "56648812540001005635573363760685378106",
                "100499593728237314877272713137481049819",
                "44832425507009079218466585255419068783",
                "224782729299972434926376021634691727653",
                "39284837450197071649421221131618058755",
                "182421477946298740335811435423313553317",
                "12266014752211401823767571618379662083",
                "149496071768885097066007881464644784236",
                "123444741020964789372576560779709525447",
                "171970992686713428368194402277469423285",
                "7101721064745600828926688377338554973",
                "38849792610461278259424306519658612536",
                "68561881615062346884549846872048327726",
                "257044899472247521865657400054572734687",
                "199045521804143897573337922905428242721",
                "277010270641303663824198439540456534439",
                "65340129581996828260611191347415613916",
                "108968280731553614559403252868918673459",
                "52522823110695142677114907944601235240",
                "40333082138446986903791233869704109953",
                "288357949253506336612797053468907765379",
                "324226836017892914571845896322466652706",
                "265570270305144743373559788200925566644",
                "14776785516684432416979728181132399834",
                "3896864168858734573273543033138595540",
                "48339180207651671007303356787880571602",
                "250040109336925500076449369915291739358",
                "221384278707755135075981659162198184062",
                "309365755772534841719668316903555471373",
                "103699983063078864205071977608703575805",
                "229107677374618011001784247623804498534",
                "139498557504820919437730459478092494484",
                "283601886449849987678122293972978428409",
                "160176661293268159389726582286424377361",
                "222770284686194375702958947379242415413",
                "146545301963515541298881247005325715802",
                "33631182406277920683561857971489189684",
                "128450599478588107815746838350360106969",
                "117880928160795262152771978384388849672",
                "59402338900361614900409391501377065629",
                "276412349170143868878034222665034575093",
                "239345240045482783305362332096826015291",
                "289663053439105130393313943168104882055",
                "317935705183720382951405958466427028397",
                "328309673168547591654265531908109176265",
                "210535851180965567676547021076004031629",
                "113254060048989771347157437201069866349",
                "245326680387345355841336171581012665069",
                "119382695012245056418360573887940362265",
                "152438878223022810309522490610838855913",
                "166171351106062019044177060256895994070",
                "241584674375873134390656597882212718981",
                "249244731522675756267690206740134774806",
                "128900427737378974100901831847089629403",
                "171478648602266533913630317894178360385",
                "185962145748280842943910198315448477564",
                "204325112243038930494715362312362051652",
                "151133514689320688196820053018010062799",
                "154175570017152064718814243330595573892",
                "292814663894451562996268071273950210139",
                "58982074670170229860835962378078258624",
                "125778492421790019737668695553394540176",
                "7804072259431986691305178360900285301",
                "275480039324514849905893575666882393818",
                "17790643876558840448141167543556274118",
                "332310424273647577894056652785504370133",
                "133743001939210073450544523888589062029",
                "130815950549244612579075199466724612035",
                "113609046325671288379782093626083667521",
                "287614851318583595116954579671213313420",
                "127410159382967620555655030098384130037",
                "92985431928700393635258784013573555478",
                "43716158387584553818215774694003733476",
                "225162150488358448008467004755201460844",
                "208078448962357703430457069645559041655",
                "45378879515075509832659322291778474168",
                "267796819296106790877417623853403952261",
                "101989894984763691176655773483484998586",
                "113069051421798769328736714929350928518",
                "134590251661279899641221427890155381490",
                "29334534470596261130332857865790087281",
                "94785333274484925925783590520454309463",
                "243558348346066551043516960127570762790",
                "12552457344764005467607057600591295738",
                "248152843346557577683780419438122468002",
                "280984418298180171311233419602835827752",
                "200024578182607394502551803502695773125",
                "335301371168872963713046679192207718196",
                "205788525521407836525237206703313710987",
                "210122366413280881608169920865970158736",
                "327116178073962249112698556331372451597",
                "37986141321497973966524995817834092780",
                "275847682594224803331752098954719047897",
                "22729299174105344148047886685641135336",
                "288957689762359803987329330284074430380",
                "221874056354139467830636100348002270670",
                "43775864957831290253996290058262563179",
                "189145869843389519537082448194156129186",
                "169627623922622914754065367379272095679",
                "274863476703765482384676146914882795646",
                "266247131062010988509769016451657694414",
                "299341531183037523590445154547635548044",
                "289038946008901542316784193317214456713",
                "256123836569860151555031028048759008143",
                "172247200230089870034011602930680833215",
                "22653855730931498231464730689075392161",
                "112750971432415221113488823175383876476",
                "243150414091757166902142151921524930479",
                "257706392895392682397863029665430194788",
                "93945887774192572191678585362387429101",
                "100454130337731058553521359483730430492",
                "247539745366489948565402310808954857808",
                "189415905053180580587996769820677215012",
                "249388902239350812896161460621435362177",
                "298239347629421980161515039234903473497",
                "33771326098107377884238294838862648231",
                "93085078636473436136192986226215096589",
                "297616633057741431565756371617725907496",
                "233778630779701857012761135239004943056",
                "248271803925445269679485425560626843656",
                "62857160688918183922497517941026312614",
                "185193814531502059709010286264785072701",
                "114632494206956850447835718426768517202",
                "338203470793012314657775100256121812510",
                "41954416326228919653792386530175382882",
                "211050552544905378065676995500749356564",
                "140384127950410700206880977742803392352",
                "178977541858754452917040067165929054001",
                "148581395648354906941107908794287309560",
                "44524372268388457774630329699344968470",
                "190334479139139644820311361094222350810",
                "163818089877021325500570628785047056361",
                "209497835505997625445568315337063977130",
                "245873417497372909459342336566945303489",
                "141854878009900372380110928353974015112",
                "298399036764781787950750531674497893806",
                "244310080245036005154169577246262515508",
                "118015449888952789886686719927836820285",
                "284797092853770260674694888960921129892",
                "262546114893520710416592961140259333163",
                "230234565249577289081918807393377908841",
                "337163949865898569448787307595959233568",
                "243635500367292744724847695668289283987",
                "12785112834204839331992715096758811033",
                "218910487703811575998161360211000398085",
                "36047701755710363531452488390830694801",
                "314329267534037011416745328834754616913",
                "62209478645001114228984846230812702214",
                "158055095683246511438940182293352926992",
                "270522591053394992922924213052501628174",
                "153782117301029458345859172640049427350",
                "130132428245036630005420899727073823118",
                "82539865420166989410668911933194355034",
                "74325767560924946519807058964992396282",
                "234657338635478395813803890691398506565",
                "116709676595131009201340383037682785917",
                "220069652833417815744576423815017975963",
                "128576418306915515509793876483886728153",
                "73885164904011808464491999998314541175",
                "171184829939969223109055105971541506767",
                "271454538397598272642741100298587086592",
                "211965753143472211893040104595765412879",
                "311589218888040003432009314310010228726",
                "48953643603593619294140442664544383489",
                "290842902004131360872328335415103035277",
                "309298553484895715389926503324366790548",
                "239135493260403712639788652525356688604",
                "297502416874696503483166612050139781471",
                "208572514870429985092976387584959683935",
                "203805160101856782127026876762414960982",
                "95870294466558611764289466998448825886",
                "23164998333555459520892375445057769367",
                "251850876047845497195777839866856639430",
                "256960622290671748624382646665692961598",
                "293822348258059922559863001970589527165",
                "49058143804103048162589758908472493604",
                "316958364839887421890266936161697542498",
                "339937595109087798753536203071784203115",
                "295805543543706559287332822716951757575",
                "168059309898590810089405075404770283526",
                "183092795907751022306373200990383144846",
                "92333322546876356690167509002902031760",
                "207388678700727263644560048826522834230",
                "20656253134429380373173225000343385103",
                "168831488289756540361687267129157111929",
                "218251540377151801985754102352239997744",
                "206102992748262371009969678205159584333",
                "63029217018033407512956362569585686923",
                "158904683055884922702449070245630489239",
                "267258314012730301297563665566147398023",
                "141669805175975432126998172070647458078",
                "87056574471179195207961187248212316119",
                "115169626872391784603851076330657054513",
                "274530944982609789659094207042360405106",
                "32854416845748166990751171205544222026",
                "85775646947378679277840236790520003142",
                "51791929516626732017463723035413719714",
                "304054279145268848231775747571389448331",
                "109855575691193398448987724476829394376",
                "293359026242511198969473723465894011403",
                "17519793296735294362470807068064211877",
                "161285334151405895350801781547307851914",
                "205887499545248028047233708183185259807",
                "47837136099891160809408806193508417493",
                "228351557403465499686870194758038313992",
                "241539053956069384251970722341952285634",
                "280606444355868534748425931449933029826",
                "162224096502622529152675417335646126228",
                "4789982519122679971150877176017764856",
                "178066639385305286678942527772045092663",
                "311112882770331053926332936512674358754",
                "211974059639966936561227851804426681952",
                "122547635693463637789733610334465115838",
                "93669364803349276098440848582662384598",
                "75604266957343431927627962330405671558",
                "241054796036956971168636833433637166383",
                "96703028207801842921189326890854914773",
                "131935635368445164189869516815845767121",
                "12105550914135559366788346727497667028",
                "52421738306763053549478791704296435980",
                "181629866641302162037448376222565214339",
                "120461218782968332315134163209422465234",
                "32623490979374558644498990869082483359",
                "225671474393582849988105212252953764783",
                "188743113007252343784872938234038244370",
                "7271721419634075561633623312308664897",
                "317914199162498797255750915606603701670",
                "42679349287547031165545426248664411456",
                "330298160028847153041362719834602575985",
                "60540077925853022088089831127158454332",
                "10208212313414692994964081063481574321",
                "59964003545276821682344526319595134436",
                "337484510651888409006292994962073846922",
                "28431785060266400246014612359317804383",
                "242468836789004808963259091161400997638",
                "85110386291855552189846759084576220503",
                "303345007422029481022106391807100509453",
                "173370506750309486857199137315195324749",
                "98505534593956556624134033386517712639",
                "238795382728368326158663755770646326653",
                "325255990798827134262911166137218981290",
                "50343487805420449281051616595627516535",
                "258771896531083581592220514560589998794",
                "262161621478137053111969077779256400624",
                "149530124669358009757231433584384031422",
                "327890612081354604584651063249103953265",
                "156049515704795497386493158394962997230",
                "263204906860197069785911496082914475858",
                "7076207429252840517467174359229260219",
                "296166684867437884064408203148928290630",
                "278807704009767480866006638245486109158",
                "155946427622712043903104491838009915277",
                "258844473391016749606040174639468718217",
                "270661520277695710000573385289727300937",
                "60413023587168149925113677270877743533",
                "131391806716560518133583920592072809156",
                "95552154546257536466290851287546619311",
                "161949851958749403113824764548052155852",
                "742927084151285965449248560199659315",
                "331110049579564402441604192886646340155",
                "176278566434434462634952281328048130582",
                "118048365150879580338069122810169237342",
                "208598372315570803978852022587024801879",
                "168611520531951533841402658096470351215",
                "42655028975644429642259996174171746013",
                "313868747707036657398810098421850587220",
                "151767321031050601659561002000329592538",
                "130035090945738292429532313183940728391",
                "338342227371687391173508150973501046969",
                "198066428748655097626615440608840743979",
                "11420985266904806283692376381552571592",
                "30130434186224176452910458152171359745",
                "103470822330446457690066662727249707599",
                "132440599229370936901024495976318264871",
                "221515061092223718126459100832757794214",
                "188493080750544950784629705009506745557",
                "143418479111331251485374109910694023478",
                "25333995186316566094580202374905485944",
                "227242106496348555924619817466124675741",
                "278331351857682067192242908090931528428",
                "192553998721637359759210884398866452867",
                "38289619292746088880585372886575710171",
                "276297253005083249328797193561963226168",
                "223391075692774962810047061224997545428",
                "9375132795062460985623134233349689529",
                "31200335341337924120352427604199287725",
                "315983755972546351585698017152357570938",
                "173972556892714155483507969895305342628",
                "226410340474999309035274174134267388654",
                "331732568019233279435585185848493934828",
                "79071343489168979355144188885224632897",
                "132356121901224232030677380241044250225",
                "96999580948308949508375685666191793444",
                "155081153649799514310088509319386429526",
                "218830502023647429972664722127605585861",
                "77483624686396598700081571187075750316",
                "233490491866540444206953712970197854255",
                "227689869350169164542579529603789849187",
                "322834627625489521036170998305814359660",
                "154203121120310562852669292148800913792",
                "209332293502558982546478037014114243320",
                "198543818628984274305317771712093442596",
                "323829654135468207816460511194213757206",
                "168830632919450561257669585280382997586",
                "196497631256563613107647557862259687716",
                "42218422643236353283888284391231616998",
                "37264091733132828149790173370111453360",
                "96694389924121103967323128134622957822",
                "125054926417306068207503968826149710304",
                "155600062791516411774360543633624765998",
                "43523146412156782327735512732084925085",
                "130985322234794323507152598251785185114",
                "91093995793091457535941459278708170821",
                "323356649668138147489269672299277995673",
                "282461868813135905429808544038884157818",
                "17143637270434704548139739432847808981",
                "120109177507418188071853988033313851925",
                "112662148479790914307399586713511186972",
                "117858688326805996799031992923593499028",
                "221827853147562948495974922989243277094",
                "284275805022150271457674219881093236834",
                "35678834716308557463404158576057465392",
                "243375034432320418468924417735028028205",
                "336910579167796254599909279121088446006",
                "231692824822972738620109356461929294204",
                "323980556318354299673211968045062506181",
                "235019417233985918216275610399228695296",
                "137543324079523473705487376239706476792",
                "299840380209456204779396744959782659410",
                "240398251307256185242779604277917047626",
                "159393406667134551636941141307098792085",
                "90558388165310771151743627205317637955",
                "12593672700682918806786474079159100427",
                "56050648474412212733253434945825207302",
                "137032926407435662623278733675691150784",
                "87105722041079543582040695469518584071",
                "78472528716890030888657833841939617478",
                "228171628956564236799014896498435062650",
                "319601766608729160497165014297560302198",
                "227226348539376706448611493210542830463",
                "42787198386814442547886963058884391593",
                "210516801080714867534709871761146908503",
                "222355852276315413955129704244714904752",
                "264001312446077020564618511738694176556",
                "228379871276216932917541139637051998724",
                "108520773669845892825655149327731172619",
                "87732272681983532433157597305103159635",
                "213916549586931984834830901685176034505",
                "92113136869849278348114707420843728525",
                "302548202583136376893084981533524793891",
                "164122009440971829571348930379699247721",
                "212559273108061479644534637111545456319",
                "276214257590125457688238368242453831679",
                "332812663977405633743793427209066960282",
                "212526094077389833214571574130401613002",
                "284493094606094230964724472999211679642",
                "224024443797283683324996178975386282418",
                "43076544033297480227723329493405811641",
                "65131839432351001549408897826658097754",
                "217498502409707031109893335207694019933",
                "225559466478146081598728049323843478903",
                "258843915184955617032480730066144998213",
                "119347097300216590212990333495957436310",
                "296202421812752749575915157439479980947",
                "21426244013193870210009205699498974942",
                "185795158171905741709388571137359844878",
                "21467573585334840686770098677542147271",
                "297290640711458564551957529555159912242",
                "267705493110960168042568801983886367861",
                "339131302453365516931174554264795850751",
                "224511452654839021851924622932723642177",
                "94176984658568255322632946268955619807",
                "140714973156690081115114965448765765080",
                "249148207969161915705571405357599501472",
                "221662543437285521862812221808721201886",
                "53160685809847996665887848409150734298",
                "9260581660525262052908819676979473863",
                "162911362822200603973017316046579919095",
                "254127514258136518934352321167225498685",
                "173138433532559371604942922511079364215",
                "259472493044147350423958341681530870732",
                "292071938451017863801281042074830197328",
                "115154262022399984459453454927257224871",
                "331758856456928085668294375231223109350",
                "277621341042524628254026597633537520497",
                "297536816255366874533892498519933692425",
                "228199389238268922574615117355515346374",
                "98147734390328949092929514573458734552",
                "127397821365467748075098870451047265184",
                "79518008459345564183906803208090708066",
                "277010805981425719660716949595197881351",
                "212435607780554698860552779600077162869",
                "162796466029021742779322514288217589838",
                "52843390065755792607986253951990515109",
                "6741825238421247871183756708984329088",
                "35562639278074215785996646280427124143",
                "159078940727652877315340669985117348014",
                "91532467332633486398255064579597910744",
                "17334996617497465617543495418531682012",
                "245735561125293606366982037062129253511",
                "149491168009716749428861039446737130984",
                "287000771598892896936646079214612356107",
                "261648793271338945384125988870220093976",
                "151674459758386709736658357766209104890",
                "139986464712107858665778352829258100984",
                "305179374664987232981989876663918314226",
                "127787137336579646712673422871128274564",
                "210575106869080601222792351130505154008",
                "126389641700786637876504200818887265618",
                "137389401909592445411628104728954931123",
                "187523978397599993489310645718017519050",
                "96625462192808174788132585939208665980",
                "192980829739397217701911546838362870032",
                "73293553405836276860533136028258699593",
                "246733608785859609624528070319295289056",
                "239110281068605793894706901375086320321",
                "146541017344763237309049023560945230960",
                "14170927041309169214245543334624774568",
                "24848621575045168875353292712146557583",
                "232857712913003916362755050721142022068",
                "166684153039157401020091744970939140696",
                "216903299059870470824019127335965132426",
                "66160197894182175940494990179718279724",
                "90908830913525057449623643953149379402",
                "141967232358361818439481738848119345748",
                "66094276090181923495425833475937327572",
                "160033622627456692978193586365259419911",
                "328669779698772673414968216600357634595",
                "51585537208952594008606290700384837422",
                "213431237813245095298322886690891325482",
                "188132100474634184061850357907545529860",
                "197965540607978487708037016186256648541",
                "94491539554806960342929399408320212067",
                "285189083235572349768753406304361052000",
                "164020905652637929366900177318498228180",
                "187630102400980506736317388892516362273",
                "103252118637051751211788044317079748805",
                "313157844558895337691503979646735180839",
                "213448199178356464399599224519516867060",
                "226905410556475351214820134445015222030",
                "147863506598400303392156286908546006828",
                "59343319534254631562481788073362374542",
                "222575670806532286189233788553987454419",
                "205027186945482909463170407293155315549",
                "294654441209031592758688849264315752199",
                "244691954513693368804710603953808354806",
                "190767553222578933115177312213239655273",
                "125239250049153040704315919128202107542",
                "44433041552980143515766386010867397996",
                "225609532924548066395450709527859340371",
                "195275977512439227253044324572662897522",
                "269202249225285921264892262567941858533",
                "284286969803663040431587094367472299480",
                "305459575563125333601018117773398237871",
                "307064687491894499502913866334764078885",
                "297841418211438583832762376076159434098",
                "305994200846259574179383014470531635260",
                "304954276724252043355617716862329020461",
                "208895673944661843420993762664593658343",
                "231331755246832858128153918567900369946",
                "36756185284336994239506007224311731259",
                "65587720857343355057645921852018866291",
                "296129367409687230278092868454023812177",
                "212961377635776902197753039456344841616",
                "292338415311645441340556266148915949809",
                "254062250498383278640687115284824007920",
                "226089001154960609153602977499928404849",
                "188093367437998259105999252594533003434",
                "332271427385176681141307653561401943188",
                "92287910689375594884510987180977349464",
                "286695960759901506565383266260225206702",
                "268757173735905938304023542701262838345",
                "325870228563019975604237731467847613636",
                "97244351830415068255472277377552476811",
                "202446699446876296422917200820131178254",
                "286286858523066416246591941902982982416",
                "151793020622558170643061518239131910904",
                "298704844687316627732352194307320007088",
                "124404992391793145761885173351386236012",
                "306517634068382773043979142090389564465",
                "101974950282506276972896260708694880315",
                "62823495563554838445792332227589938274",
                "141886802928677636630055983358645815386",
                "213777815420013890306270263489731025693",
                "55602563949885493206782994659804045536",
                "250681643220286247980070048258105234976",
                "312180892535474520238961028522990656233",
                "149606949638418385008071286763840995501",
                "8574231528998683124424501032987006546",
                "219920485030715876845581978007045599198",
                "265667224740843129149839160980287227287",
                "247153394251466561237102626606837202340",
                "292941660193123257578183520494178724622",
                "46887744634747791784833317076683549918",
                "40176424392261566627025992961231519493",
                "171216071898245783178319206096580830490",
                "226307237179365563617757597093238969010",
                "269473692414672940951394509889535701747",
                "300970518440402420145400411229109607498",
                "195880388126978657335037379238762865212",
                "94130747136607039056772388071265478772",
                "154224145842811241692945122833824038843",
                "129987107193178405549989897229271815755",
                "244107591600706173159721961521842576361",
                "208512645360747514343807633294532088932",
                "65656071452572491214360603276428231471",
                "68856025871868127441575688968140246419",
                "161449571423951490624892300663368226360",
                "187402213459669664094606457554054589601",
                "211851449625508360712633588774115807373",
                "242221914670853511144258004907419880403",
                "245237994051661468965021846695038906486",
                "243075479228693657902507408528510353239",
                "313605478882992365900634619814515853574",
                "320992703230839104213685360374172972401",
                "319731325546858285782684696132992720192",
                "338453617864111254827260879945103969157",
                "293864200019494249484160523045484449827",
                "132339087148058443379407801067909516779",
                "302545634136500522272987040356732919947",
                "54208941066776069381578031135290186501",
                "79117364124590173653110154285777548877",
                "229491936373583750293580020368979453799",
                "227574935562451471284666117005406266387",
                "198593423225364044617642196945475830194",
                "304646361592824641193705271951942199919",
                "288350060878508552643158239154768230266",
                "168846553953184036323252230110329649099",
                "23629563183122959217862621155408687873",
                "326464233567213486759178667998644020735",
                "257568803715355989545011425967748500158",
                "206263052726226230715705022419589224591",
                "171188054653932363683127040283819121060",
                "222502673101599443988727910636239359054",
                "156658949620896360545120053907847872914",
                "238198442235893900596148198371717141770",
                "188164596470814396837512679806629049098",
                "170589104855039676110496613501395812051",
                "256998490875478322554343085213693555607",
                "338733851703373835914846501624642301635",
                "258478429649046532286532794887208301378",
                "137273639962129975710889351649852920440",
                "184961866107282633702413923153361354739",
                "250547306324387648732232931591027990487",
                "321852270129779345734740454892252717124",
                "242488932928327202668709314127615745372",
                "76173264316356457385118309479365217762",
                "110538915701448794536777436219734860891",
                "243357264392767606641763896464762350641",
                "313267217945966298289680352747861560073",
                "97392742565743895660891502494941913592",
                "83899354219557696465312050253420102913",
                "337011750430740279538040721299212919302",
                "54449049535339089209847228596159650749",
                "335972651930609702110507679850463584103",
                "162173472710631261194320997078614565390",
                "53099723927926918389320318746786989212",
                "205193453126340979221201219716377416597",
                "128366151672231459516234028927310567883",
                "32244863806216893948371147912617723006",
                "140035898715367687881151615255816664982",
                "316653554305386883812709857457192459130",
                "327622650107387478602791534381142261932",
                "194506313738991553565138517508658800605",
                "155779446746357570548072797193198340158",
                "302549478625180566355553696203522394813",
                "74368413973002807679687289384150742666",
                "261591183341281059058896563569914156889",
                "28913725343654248886877951172005642171",
                "336507824703139450962993755311829603179",
                "93409925255701828303927564706428300357",
                "13578314453474798510603426920972640471",
                "274087947456765162620468138758436259797",
                "214497964228215807770416235012955597115",
                "59226960266730670715288578407831208852",
                "16088267657075829172064088907632711052",
                "55079128532966630407941608194075047900",
                "53223205888283111036238228571108568271",
                "226956118873827930565050748061468666789",
                "219369697560051510909710958583512664949",
                "54440212356551408654786295742619170087",
                "155446353242194700465447258122311230016",
                "110955463005855700584442912800919976710",
                "131746261968705286758276990350883044816",
                "251817046870187876861856922610681527194",
                "242281544649982239388900365705522558988",
                "136289605464284737871098236615201373397",
                "84276788583091825201642002593360986908",
                "234111758284621292681238998560900379016",
                "275826327270941454438196534382860200701",
                "181043629754746689260576670910782576271",
                "69484163613715041916579294984344120710",
                "142973298849710772371824174472013892872",
                "65699493976774684063209266910136865653",
                "223962314055061453949479987404827639153",
                "250092984424309805644948819737846972390",
                "60575013175712657566609278218633006920",
                "92873385173303654277547615392316114767",
                "156032205623972593570406872209291357497",
                "306446773366565728903980076185582526287",
                "177354461257917628659470210496905001976",
                "52517351313688106214772576972398911443",
                "313871451670132615390759644942356554880",
                "246060295934817045771359259074202049485",
                "103719348581069791922562275401218519360",
                "322614000656170228013641680073985537135",
                "225608936931690166523518284593733602662",
                "243796928306270116158011636986942395239",
                "190410728196335594860184848313824209050",
                "117409766329484743587608165766005705615",
                "238737387834338054550837153987549547849",
                "180744079598271429136936678135260524139",
                "130304348144365378601428752553478284140",
                "216168546138085820952582232345850242344",
                "63639406998935080332577117172808839689",
                "319188824670282145199024628548958918656",
                "199552602299357637428569113799924977665",
                "49205515551032778016009294549179271300",
                "210256480849033450733457427713098980564",
                "86244759095893326555321591797158322100",
                "283131049343657290282929286985007327927",
                "108028140078021356393042485573079873333",
                "170374508872368970882238821920852218747",
                "188185995581303991102346657970728660077",
                "328840193957392501574050222475887945429",
                "157253037736062192162066665241301278877",
                "289653160193478407550178296564107593065",
                "210421050898263147292625030010379708237",
                "112741458695609942694658258678143577881",
                "153233538581199721101528945122803585830",
                "245746230540546056524005673350175572164",
                "337253344772928423462845609444093668240",
                "329480060025317585697635438850144519608",
                "223576419556904818460751608095200803054",
                "180943870139807409698885271342685059222",
                "7703236155780676779899090840299268365",
                "335345301788450642631604285976804275350",
                "249696432089410737413577960664164847519",
                "98575681951974370104796002770505192516",
                "30430793964171629993001070645955098810",
                "267932586767949474447027853689894880568",
                "173772644111233110223541130088759651154",
                "100088967847529009495603113286108958441",
                "152783849161974731197905473603039881473",
                "63011588069785833759952168630848626004",
                "182183783272301117883658824615242973408",
                "68114613807815949449221552509117888109",
                "32219448949630644217141354143801740342",
                "198961887546181164766972721138962617873",
                "123814057004847390937818110454244262954",
                "14871435414751352670054407499596064201",
                "6699510920816796493512187279242973082",
                "64927174275638102986137752007148660955",
                "104392561997273795328934570224777202698",
                "311473440791243944371922705032248465072",
                "7572249011448390558803062884722275510",
                "339032004702092733429793997098276133578",
                "249063365622594666534207864512097127473",
                "323678091020389420209765480628841326390",
                "75096509147808775803767268026053283117",
                "38899671525740645248810746998997942009",
                "25406563977263276553354061165835961488",
                "135435800074051366287510715329891500911",
                "119780267684863264058340939968820136472",
                "300463239197834062160256516641648854916",
                "235161760860213769188111286160134048017",
                "302996326242135575447063951756885737261",
                "257519181453800176296728123812735054190",
                "221252990753133804731562781716276380837",
                "160570736146740795643183678362361476021",
                "88640385694343672452349956454128985177",
                "296501754957450664974689064012469583825",
                "1752869474802281841645061575156177028",
                "2131917794424394993513546061319508492",
                "81679003726995861954424335304432621442",
                "215689273302715327799870565974970664028",
                "103713372225781559591382508904399632943",
                "162310236944828872286639335309946096225",
                "271890649508104911241153396383246416513",
                "7835203369867112293619633067426040551",
                "122472202430684640868774037981067602620",
                "307666782266071423520867523516213397558",
                "59290496632796987632456352448732966358",
                "119830445832489089773236493949878065292",
                "238663656297768496297096158155236622138",
                "304560865263993118110162713025862735854",
                "193970270517182610021623341578528820779",
                "151035012315869848487946624941388685549",
                "273770876023862098296127565390717652735",
                "157979381557852682455360183939521892263",
                "308337356428412344501002181628900072668",
                "232556949849806692700754631641026827755",
                "268449928622112710172535433833619459729",
                "24175435426865382589934623499383520982",
                "93592728751879978450697191438946241151",
                "177206608113016264989320242695182294451",
                "73562057488918860218863491776103949133",
                "259773544327694800913372885107850956605",
                "169683289619206949358472126717233270214",
                "88580039514569123589158601580019319612",
                "277603986812776249858799753506594423690",
                "323491555437875582260736137506174752488",
                "185592457640675527799368031104056930552",
                "334730492739482395302110896292603846647",
                "203749235057389069560421446723412352731",
                "114939760036522822700710625361303867195",
                "114105421831239490741395309616927359530",
                "320607532948646884475246226387968913258",
                "155635635652033833048655953359815401698",
                "182340959957091768451418428971699132951",
                "238704050499995277619713410185452135406",
                "2548072918520254325065631679195524104",
                "129951306075274688835203783845958804345",
                "8539282858189369962705861844989966185",
                "119299515538466592825136263098508058531",
                "149205791502828498547591268561409237161",
                "214125100239979802430138243726359510630",
                "125564455013616953048887655082851105585",
                "256619478148530561412790769843836885840",
                "56502968315366873741898460810623477812",
                "290622297488408254930073421934082994906",
                "207580810277017428035949331060931479812",
                "184369888563021179506733116495233593120",
                "158111094320307109420313717417089467760",
                "327133719542647991493355189449668619423",
                "135315255944025765597228981635903384628",
                "245868515581502498767717303588219766999",
                "78220342909180282042203293923957060227",
                "202490257200868239540793250661075537914",
                "76593000477353165141106847822840138471",
                "336547368446724450769672968348472673116",
                "320598263068162872210543683108708141155",
                "52894431022123202032045379795701399051",
                "332142151837360523887068942737529255904",
                "188867240834945435482585808462932679955",
                "127592094903440188479357432038264037671",
                "246113450442966536007373095496334270884",
                "2243564969712065465004631658899359944",
                "93307743373451105112526528224616263223",
                "143924421164232060635344577597991503877",
                "161369486873471601509884371882015503289",
                "235737012157432745787911130828034354402",
                "76507085642556046743846030219051357912",
                "230596227312656659338852272374454244452",
                "82354523368456778522378228373835393664",
                "265760274034455361546689351011370687700",
                "251531240013865619244600740672413235058",
                "86078018802099616349272070216817320516",
                "62625646440260278608782572501101850073",
                "304936687026074007999162226239043760477",
                "119589400147374717751255351839422059216",
                "184430491757704999341096995782258571467",
                "235997246070459494302590521653529133738",
                "108300112071440651483218721971654067883",
                "90170836824183756271914138342980808269",
                "176767767188939597654210604192959013127",
                "313997810326110455544293309087774969607",
                "208375034190641538782118109640987015959",
                "32710158541603141642278977329513687046",
                "203123004305761745622241009715826417269",
                "1072588992230267535514799086420834815",
                "145814648617931320479299897212490457287",
                "175107708591492004422708224976474688076",
                "143583745625268488881856438280754485159",
                "224685831031880072061843251835762474061",
                "288556754112827454689402919934874616198",
                "262585802668156105915838568919127326727",
                "58445898503933553376490165317139749963",
                "322307776379732151131363283503105182261",
                "61998559762826149236177332384352534623",
                "85166280683417182801299732648394343611",
                "65939819293769972192050516429446296896",
                "334488210230315160903170554348827468606",
                "114694107077087270984778369231811784818",
                "91027342853451657540270003408256811160",
                "177127899594042425346995742170706541715",
                "28455984296847762583710797324170076200",
                "111940886630068123646886523414518063710",
                "223655164025251392897597204103482815993",
                "157758714994673655040210782593240559692",
                "229520138414211619473536573324842399813",
                "128641790040107991683242242406627517497",
                "71153511346069905791992402338346303239",
                "29264682742371383245071481424291095611",
                "172733297173290679019320720915581549513",
                "61410497756696392974070595815980622041",
                "284788964451665469496884893169681459638",
                "103606673064771584380045750423436233754",
                "172135858788813227930967680247687798720",
                "204709671853294142446567603173302407639",
                "296684774261579037964998842297968077088",
                "295753327678643263348451419106803723896",
                "155122450172998614383617352660446305265",
                "181405202549698507030353876143285808210",
                "335499663738966888121788168087709368526",
                "326754243862449923100092795888745533025",
                "150428333123388477054761815786154612073",
                "288991297544634590449677748434812844113",
                "335307650241689879213341155215073766309",
                "233557591587912759836646462246418510495",
                "284484128616736818983443387396795736642",
                "177077774232369818699807307001296438138",
                "325715045516719137843797005461895140946",
                "64203610398615679450199370629294019889",
                "138914773478588599729259109379268054396",
                "220222579572148313661859268193580166270",
                "119656158374264254301767242769370112589",
                "89434143382205819353983742054093553060",
                "63512610991918130879465153867791844313",
                "181916156558098439519709356080800275813",
                "202520963764269813590412340002479593853",
                "232601920335257810537897021157383025095",
                "156302663019285391753841252408605237639",
                "96025194247188324777262675840806884792",
                "261015402060990955160301809331678130132",
                "108081790223608475897662561195895430736",
                "222115232103968625338671518422994603982",
                "119786486269100587142821445229296273825",
                "183376960593824901209938261822215369426",
                "245061294863467539853729274281661712526",
                "277187443725078248027257286748135563123",
                "264209734247745652856545321811323549191",
                "211297036551957716585159200328970607032",
                "315728196711826149379227242452028197184",
                "160679347060965097122325757037538657383",
                "325133623487855542806195056354437295309",
                "55074085194243892300792977019101580942",
                "153912177859067467453636502084958752732",
                "53623393716727308328908474795767316315",
                "191818739047068768928609970940555367938",
                "211512333007474228526594444300700129634",
                "98222710256804895567222160008630709370",
                "304064723869788004079653124658740278051",
                "292925752227233011472857260296239589225",
                "200022558263753372780360052401629785202",
                "11850275656758761560800721623693303157",
                "130480165821401525201404922772648364299",
                "194162978463191715488715214885925821853",
                "39336719386201014782050665481381842736",
                "330716877657091562951101610422793624285",
                "336653607856860188925450244647272698580",
                "267417142611738015352593456851573222444",
                "231145283655938373295372395380056288603",
                "190508038275807892438099421323409568945",
                "282495526748517301150619801942094277709",
                "293560868197347497384299305422829567518",
                "305602779457073597146707890795293022382",
                "42873685840410951215292896110512683190",
                "22391256001704022236567050155781820934",
                "102702507820176669365540140251799409850",
                "229965101398604866094297406505782271367",
                "32065472279137656248705462928141900416",
                "201843915897749212961588549799474807241",
                "101857489110239739379070428298047817349",
                "183732767579075230311999645551536059751",
                "218379181551808653287123442725359038591",
                "213426942211843991447290967094541535246",
                "286573741544870390810387394908088585311",
                "105130582860255719939293487761225001865",
                "248370662411738601175737503880874571349",
                "90779314389479835354719990527741117407",
                "205297088081006812647650062824587746437",
                "237503503517384634808549136567256454326",
                "174912121876968135295752015461053089222",
                "215861580191216366269226393295366837898",
                "113297646881571313047219327072913281779",
                "183580645303912755924988492275816075545",
                "313554644650161145464967710473611237701",
                "325255052763008546918300363009664492104",
                "116413129218096182707964100238364496267",
                "118760184305703362928857188389418089523",
                "32981431067717833875082695375618349851",
                "85268369193956848835963825002239665915",
                "330163940959694495783922642022711051533",
                "153321616844382925213690313304693726125",
                "273570478900038999553963021127337538931",
                "64753614002951790809789551069817645023",
                "90610297613860908309864989059525944559",
                "156994443673308746507422381480539062371",
                "307857473692248180419554818451488968715",
                "170595549292900258026231550469979011535",
                "77559024536602744747061363341931365016",
                "33972755260433184283363813034091775883",
                "109998250505549673400263427708778583491",
                "228110012140933484513526154477489749612",
                "305571974424989890751897918419852101592",
                "65033281056121426807668161747156390191",
                "240602372025303516072666407670136058502",
                "280488363399846831888586338414817228326",
                "135947991240928049796646349999666520044",
                "227168969052059308012628732277744330887",
                "149408540004862372200189611025181744384",
                "189453198948035102753854878340604728609",
                "113058877888429735845713874084647212675",
                "245683250341276406973338472044124271517",
                "272817085763061275264855361012055196961",
                "230411062602982470376510099699869614823",
                "281491696055680445280569572257650674246",
                "119073444329190605272662562739656706701",
                "194103129902547757976351926869458979401",
                "166742320775866584041676848877979768178",
                "38229470140672846405571596770215151455",
                "96652444571583678769191085361351269186",
                "185838527991202617527162463688178505068",
                "128006939285286668738210749105171891371",
                "27502119706996428569495650906347446264",
                "121853746043152229514435786633526411274",
                "339804715240517930912094232985188855016",
                "233553246475207594661894404622006356824",
                "140531018689655095669659024074387954299",
                "167128265388232287566757236560586576360",
                "16986145886022121474759200890888646141",
                "113247812085127263763523463941203731325",
                "103279140197081314803173319925081545721",
                "234947881262718052850601313609195192017",
                "244192739131373479104055633509850933657",
                "9009444322139642275595416409311266382",
                "203553719310817683298539400857615535063",
                "73266535457179882605545355782509702281",
                "297399743790972314306203778822379107849",
                "8436667228901965734283799575116287196",
                "43576447028107312638967834672304576644",
                "208024448677139903665053296259546085525",
                "314333234457220781221069101872867025437",
                "36275354290017089573281282572450850466",
                "112584936719636911246372384267649116382",
                "222304179684209113407942813692291671204",
                "181730801129214255055471775392760663405",
                "43366300677951512999679097511358735246",
                "193558258759832804295611741315704993268",
                "45073970178132120593796196030924290867",
                "247621017922690890300298730416203287537",
                "11419018482779638875774778997641769550",
                "123271151729111422325254070026830299216",
                "139448005390326290488405710859909150445",
                "64715392189650634656806661032602961752",
                "85101567061667720927483503295171392116",
                "204959759637179820832378347061629668643",
                "6896980240241025549731130185648454211",
                "104057402832814183248592000002132081380",
                "196992103127972154373228056157108690639",
                "159542935221074048094986925579332740656",
                "68819433818781643751217990985656545895",
                "171398748137269555856044314929324598730",
                "131059464174531027456117853814878210592",
                "236171877131192861309521207153747387595",
                "210257408666987707755979018664398749337",
                "335218950285798803306490728473155185346",
                "263707676808598670037676639946551101143",
                "52395292085010117814156895160336232952",
                "297028333837883463065924568674526698694",
                "212176071510127439418163515542274550215",
                "105084010836866185645014690332882584984",
                "190675415190913330353860361937328133315",
                "38924875984145560690504161360100075249",
                "125523836190167706914461700671981989446",
                "19911071984696722226870948948955494754",
                "81924715935413406074580168671912911320",
                "254026801952286595875780184622750951059",
                "64166530866277578553377818578168244470",
                "159157832110824610801358790343661887855",
                "257990548268982486295190359142222551866",
                "31175610742011728093056880664191699851",
                "267629098998954559983498002924497900329",
                "263498771100623816276387459296649943191",
                "197078772744987518671411271292836081655",
                "125121086875287356029013582823539363865",
                "183747517767746992891479254728111448929",
                "211752913076903052947357386999928691050",
                "10617456916187987520465247683749205812",
                "137566140867053621578053072211454182032",
                "58314382038195827608183859939112937788",
                "63609203901120150415157831150737999463",
                "96208994735129319135819314960602823607",
                "213140969515823653030374965937474759982",
                "18944622813838762938784760602804601935",
                "143388415177205545782610764951651881597",
                "128207051342853982792980085389522247957",
                "265583793356124083614148006883442657435",
                "146686938258651579951518244756971118077",
                "192592724086877820654402768023030613499",
                "340190564545955985155069777935314130909",
                "36243776526315070273168420070185740867",
                "299794104795348441483741595147265436609",
                "165593826939411939606907806997925481128",
                "92156383752323438097487378064121634588",
                "25182058629897108188042614966825868701",
                "13280092129451359007337841578753592020",
                "76508799595992723421238010804761162390",
                "64619927974993373693563294544714824123",
                "290801124243782940814689028844695499819",
                "70235434547701303051894996038881250189",
                "293676014011375479806169210711617104202",
                "193073867072799831960696587406971069984",
                "160175763271320336665973093930222234943",
                "74812618359828896500695284626835619053",
                "279791425940778069977510284750074629731",
                "128588178775601213021777529727053952188",
                "37276054052474930635794021379173852418",
                "19767231590688499975921513588850110351",
                "122090688425975981116166812629255216482",
                "282623988961545738788722371553382445295",
                "188700082306319418442582283616588458447",
                "207196739563612550534209079196316192884",
                "111659191262601868248993672973643620993",
                "9407111379412057699251015236380899075",
                "95655453364354483898228570925979283000",
                "329565919246656416794966963620927500585",
                "72269134677362417414028708500180347655",
                "163193536333457793949444866882823332317",
                "192254294186698985029506307581779875493",
                "272370050379839558622101042688185208204",
                "330702215972432707752306046756903192809",
                "129717721975974112701232501937828015803",
                "76107017540376689227780155911590477803",
                "274464362699769579169755097500946587241",
                "69360931700541332125846339557688069821",
                "176518422569098371302243334239912302366",
                "78949319054566471572138983603931661779",
                "133387350671191090453182386363929275946",
                "188477994731540126080520247645446828405",
                "36183164577853159975478888791857421908",
                "82232054162410926477567898695708714890",
                "16956498734010078859920705134960547126",
                "192817285485684783700464843042905308485",
                "328078302124513084504559708748098463835",
                "304790319862570395392257719590211212944",
                "48735635663289141518097897958477228063",
                "245484180577149062509588625519368827924",
                "136813713499217294418500225402670444333",
                "227917239025627670016023259955105736207",
                "115342965828166007557252102806101082196",
                "243232781731963553751756894867143823317",
                "139528544995232885410185932493218369402",
                "134778748903844454985795869774830375069",
                "6452665387760740404753632898328715079",
                "895996104882178870647950616844325263",
                "119465777715958600618625344492682423593",
                "15798438042703591316231945376387904320",
                "231471901149496627512533378115043589698",
                "19750028063136556573973307824763148715",
                "95710293531647810589048771191943650328",
                "143931096490225991042819623040299591040",
                "229198775881737156872534032127553767828",
                "155825838025280947320095314434094336360",
                "277380133663575396596503653374762378380",
                "107310277613785201202949986656261317659",
                "237282237648423659204740126009413184684",
                "12952354939244958108933058810973360201",
                "153967254087547273481886202722913215821",
                "317504755824530022962379131550045627639",
                "167036807991510789452781540768058592693",
                "36671643409366376851359047146061651589",
                "266068557758770954342167445499430450910",
                "70164593582679173020749985360221342832",
                "99017740805557937525191384508147374259",
                "149085080691007262505170361957075741549",
                "216383562550560589136533621266591625274",
                "326518655192437573095766968783358160357",
                "193764520919844750828531662956540306159",
                "189257805380645088520300592257217788792",
                "81851360870562311402614282606195294542",
                "54059673334980221353617368177986777837",
                "248714178751405581131177264122981876073",
                "81854561786296014300032456228633435051",
                "186112051054298574568978161626772810867",
                "169559468869234129884703989431136482150",
                "228039959462567847598115642459072333653",
                "161508379609081217535534216882279495624",
                "161815719941037628952962374953590779032",
                "276109329902262326028847218115580859204",
                "23369018198020049225890788080491086713",
                "310472335581667265571447670495552828933",
                "312835690714121192521237280844315552794",
                "202837161953362200604863777013206716354",
                "317054649245169542138080222097064712728",
                "39989186952915442604671053338267197058",
                "93610086134859272341484830144454452752",
                "314368973929353022151590968449980705597",
                "214445489578126503200854124918699833170",
                "23497638645559686724893975024757512242",
                "58652772196217669220901116736397751660",
                "213278552372087911329451455573457136129",
                "236947452669258053028859252228986329058",
                "274009846384047091284399056750220750159",
                "293993034241914358277623398655800000766",
                "239133679887582054225912414806371622155",
                "147241167905349062028539369421336027165",
                "191657682243658109032474962516697922664",
                "10822238287278016972834576949876850294",
                "150021948204251681230543478383994315973",
                "120999309683030080098838610715242760537",
                "93472991807299735633269779626815243176",
                "91933653602120068958630560045314948685",
                "193902431294445173748469433554425344962",
                "159647202940710984002542926263111595372",
                "108592739697719374890756495800715926915",
                "202377325408409185167967478097726394138",
                "120760353585941191441052159916511764191",
                "63024093918263370974114974340546153665",
                "308863998893752987811615326894218206350",
                "285847393596571678682725799823746586294",
                "272273633699558075916236650574286167539",
                "172131971046236067909206944920208335830",
                "191403558335155623436724565919040538551",
                "103573093660366390246279390327751466923",
                "324454581804221089063530670390074161918",
                "19845502084513892503234323385815726216",
                "310985612942582222652886500819575274830",
                "87831100329800129248308734899676175663",
                "132900122139918589459441723577360660133",
                "164857183381072864790504843593678345374",
                "92948039540704988385387790937919863536",
                "26013521592040744377223563468270239234",
                "207302271577466732202609479633612857021",
                "262293791363636728328266926786732041676",
                "241196486319502891225898531301307013887",
                "330216211097110651423489248397764898778",
                "179963711708385476533415507433732154813",
                "134781122380326847938647238853492103226",
                "339312192951081334049730623603675009024",
                "74138656330651545231153064677954068416",
                "320882952801610595509411015879697083029",
                "82544332438649067621415853752894773800",
                "2914771353453717955563370403640257482",
                "168617483274717247619738980686055171780",
                "305083748458155497548698406593596300850",
                "253405662993657529583418954544372507237",
                "330731470669919378665017151127237891297",
                "153442547535359853532071210115320950911",
                "299934432386155380545178049429970023887",
                "91231320468396156603049447344500857448",
                "286486180011615992685829926870333629886",
                "224649358662840852632655524856212955536",
                "311810933219934348717469587348022836162",
                "328804720810339243652072794391731648321",
                "339799657826770373648961067634399851738",
                "11167359430634285577474229248670009412",
                "331180800711598844960708623965281478506",
                "208547612124845867922224235124513992840",
                "275730072251118052032901412102162606095",
                "149672361060401307654782263548903878925",
                "294117343693888616837018431123250951557",
                "297783581738733498543608195484390105303",
                "284021086390395225300261350576479273062",
                "271592398088902625307723145133976301908",
                "106193359225002330077340336019398928731",
                "115120413730747387117484565125302465195",
                "99585958856946455831554035665039528236",
                "138398603656554127894879283691649189668",
                "221321219403689111758168210310405094477",
                "285885192461307832177043677489381960558",
                "206172828183668656954334558156595917771",
                "66122962860945040544073506413070325410",
                "320649499740119823329160167555605237503",
                "9017449200984693569612784897392867991",
                "142095037817219806130025995111472722561",
                "140007702479144466306099466680570958922",
                "302902394747953105112285374906861317316",
                "327297340338966046129795196059585272524",
                "142122125266404706762576740476498208412",
                "48963954974772783531565284321756620865",
                "263442591554368324453092426774414093532",
                "297698285457365085349997029758025686001",
                "64692145159043108023003375266638981317",
                "23736387042208420687770349405537638263",
                "302896786889260380552925580626996169243",
                "150825771763873252195173873617612975160",
                "75035154541424642939547819210355719781",
                "143527327621043935242207763111704470789",
                "329608920285358047470732910121792942735",
                "272823688699902945454905162029534519931",
                "37016348757932062716970780891358553030",
                "207924356525241757219568472752626605470",
                "329877426817602018790487383260390380114",
                "68558326344631282302357980052142211375",
                "97682140724491636719827430260130220099",
                "301607866313552049578476282860883467305",
                "212403799867505069977196215334148324738",
                "57381978324180835651789363679711761501",
                "206563067357465724410648523167700701862",
                "74213134157680797122512695592794026633",
                "310185861756183341027555147304973596352",
                "203893562463991907676309157909360867551",
                "322946156623704116104467987281268242707",
                "273312091046518052446273883769977711754",
                "40331425743969878680322857272130973886",
                "165323398452991074612968009554505200679",
                "44551573276536227485812285229686745282",
                "242419954729476821721033615562211237217",
                "76460448517934603262799616987522629631",
                "187857500689518872304527252236669341078",
                "251017172961642735995546572529808280165",
                "109568026258884092519290578930743079378",
                "270214908142351255225427097783820587273",
                "2143633382210231513470919687561778299",
                "62931999424379014183626421428419367363",
                "62193995279128357288562032852182426026",
                "50655526766710443957664564334680505704",
                "305557294050145400345016879237701824456",
                "166565829637660141957039172391628390594",
                "219885955223994879819656076409619923259",
                "69082586255684547540309871247749247881",
                "85200296743405120295420591551179537148",
                "27580622013318675046202143939664980962",
                "169680387818036644139911354157639825907",
                "55160641502418770457640985100918793888",
                "219127900969832030822316684958081604625",
                "119883095203419963850539339599154831799",
                "156297876963572368549687553220981795050",
                "82813517260703745558327407557886204616",
                "157870009530817695267735699901743307610",
                "37887239501333066210180797645288944297",
                "322259057410532212455339211226074325379",
                "139836830368628030297490841082256631330",
                "312325660140803166008485527001415170660",
                "274614688535152690742109777552909255703",
                "230125380504656352072076949156487930841",
                "143315621636025259933979939241965335071",
                "262635691915411132752946217039973797001",
                "250049399603896997426598017735857188440",
                "241188377892868873833268964188994920074",
                "288084634826291956182487384977652853888",
                "98500785299506398052514112500934139418",
                "106057014075195789574067795450260394535",
                "237463990180092576637673964259642436193",
                "184858453378774788375720179067296077146",
                "286424664302052303310812552411503771758",
                "73992598169464498269731318129592021168",
                "290339041423449871041285316955582674897",
                "123284412738127039193180846147840707008",
                "291977956419340584486386193561227982207",
                "230526143488669640155797725667876609073",
                "78354577508755557250706144579062848304",
                "80147604568388455755835994878340796746",
                "65595209287734992126917426513023207994",
                "328976101354723856344916759983525018003",
                "204466500036275906462805646131662799402",
                "258247494559799866581621077159264201411",
                "105474560838489659298285312296578092402",
                "211516301904287738099786310716777400257",
                "87068509144001714165029635538582563234",
                "246536073383241340352063598883147671654",
                "268924945621011510124135186030711270403",
                "334131813923286264071886636984866702568",
                "159282521570919216808939818328505824559",
                "80320052587385915530652202641269082844",
                "136810428114209170151528879885869269483",
                "125261011526475761594745427948603275003",
                "293673819286652643952590286118476070760",
                "259646009983443606150507453395549262969",
                "320327079855999742815352014623320901210",
                "150096211810112788047545422134560032696",
                "60930739400221589999558273167218076339",
                "35163951928909639625924851314934017867",
                "102367173626859866391082631771181811009",
                "52673777700161743091790626044926103398",
                "256768046073999296156653789527721487314",
                "241783414624722493202035392858408749948",
                "43555052500360173241426239047295043030",
                "300677560344432984988176001364520130791",
                "148664036464906510085908610452408982290",
                "149386793105034934342192260088164886134",
                "85928183224285622521281121319291117700",
                "104921262237877465683081852617602761477",
                "277331346055304644068403172139873613484",
                "102385920400788765334691466045647744122",
                "199920817368579849914873464998541987432",
                "125463953310601301799140940745918945598",
                "25839024204647337957283098220886218776",
                "201777484230597879038034107909239981435",
                "23010609996822170761472987893270118942",
                "168126346159051287398392647854478935996",
                "452786992651445384896502673703532636",
                "54116796534469982264619259193548182015",
                "190719946337059219089935296574237669163",
                "78312872070080578251006584479108929631",
                "304643903580939540206517013836054732736",
                "311740162466009303520845310800714588648",
                "127329874040939757512016146869090568538",
                "168548308998929940599362708388452489922",
                "104750040101622752679214816552138943929",
                "10377955897438162850786101418899577879",
                "305368889527684235660019723218746140902",
                "24668412045036082589735816983293878965",
                "35612716074437294645812396777968228324",
                "3052370622600635419906688835145088232",
                "338081423045165365905454104465286831657",
                "300341127969455569465578436033632720971",
                "248867867370106332218339545862245468919",
                "157584472914598324214666823688643240271",
                "35858889139048853729294373768504133953",
                "113413108802285017693735124102180590709",
                "22370419470419461397373821768135535214",
                "219691854404419665812818268020936450476",
                "31706279000267685859596002505480749424",
                "126987918887881729520280102124075278781",
                "22112005643404469239782317542191162674",
                "124703675650630323661989368223290180142",
                "211470171821860010835473487358495957340",
                "133352588592565136589209954690432458549",
                "210519596326539941070004933157992903419",
                "273505698842288164674274255713071130247",
                "23754795147972752988148338592865405455",
                "218592235725587438458738667087098751333",
                "53969525257252325868487724700585463818",
                "171823389527488022617313052112377298255",
                "300641577761896094441063462357451113287",
                "171740536864640330642211742494058293228",
                "296596949975958583274565212549421517402",
                "83677130722874282512654769094072907610",
                "68916345202603488039147779293819877693",
                "156227744246880873911968054427665515473",
                "141198648898360209519714337943117711585",
                "35490100588071531031972695582972393925",
                "176857981212685177057449863330887719607",
                "91983989564584454833794682836796739919",
                "37432929361154934958857714037602723589",
                "153346673975801574668182012234142546230",
                "144647819694302612092559735236856917202",
                "24662561606107126071931890844464083077",
                "130959065727173172426663458929877732922",
                "325745259652256622952529792581455330274",
                "266418010946570901562546563459055657263",
                "139962482352181789321846595787490116386",
                "64579348034078198657297341255579468287",
                "328821121680382468417158240670265442840",
                "65275666973144907741387763988253526932",
                "287408664909126458514551283369863309354",
                "62356299984447235122489244037823924391",
                "78383569648744526756133737200899643469",
                "271362886148162603198074468638985244669",
                "129258569747502052321386427639965312196",
                "234063648173016263907556564485891581023",
                "203528697234421644030006546419500362674",
                "32489978504298339960977982087910048850",
                "115769171289097624210744580154135794619",
                "106625218493449478167830764050298647379",
                "106619693980112812325860385269554209506",
                "223985838770906538484611559587731343778",
                "73676131061749341886344388883659263745",
                "248022227440183675851268628641393944674",
                "324827635016609889503625259193243332775",
                "177320441776587661695950713525532449947",
                "236259629419852799321813839028831275291",
                "95011160485481531011908421371115731897",
                "16953365751615924944635058717399851859",
                "275807857710568775877667541840428921805",
                "245281316615705326396766511361757798622",
                "200382737648500452685105930456365841830",
                "171344768142936117881711548653840175907",
                "216345202886699668096989332867532020314",
                "222787891759306039735853358243482213825",
                "163216613151351733711930612415839410150",
                "253376536248884264985029668693781714987",
                "102474638430675329254623759407558108693",
                "216291665381940986798519660514328401617",
                "183706385224436675439506915756482445969",
                "238117596221933142310040893289821768012",
                "303419841634381525919605090613198386711",
                "297757422883559679873967345275135724557",
                "302922817739310581091324142105012191232",
                "221480747309941090925939047867867052432",
                "38678560402265856573675389005763143998",
                "217105663362236454816029608687345518838",
                "108435260858054864239027548931764376568",
                "134245108149340035986661997727051634903",
                "9824259800154272258893595437490795192",
                "300692655844714706802265474565983094613",
                "112116231148061686568600839425748404",
                "104024178557568573502548301648707265348",
                "132887960495818863430777419232177426375",
                "143710634123726294905951182859748675366",
                "112244531030850969024921391187355118990",
                "245644303535534714773795341785523693727",
                "153892948581517556863850732102520183397",
                "308412840128168608819076470073693804215",
                "57504822363239888414963540345989249926",
                "293727258120830159218034987233721754035",
                "336061352786102386168730485762040908910",
                "57979349371037047032985314507150103117",
                "214994986473194503668405862905276012579",
                "94069330173106371040366924711244794113",
                "250935460000983191328502298980241010302",
                "316429234029297983918166451000556672448",
                "61370105768372930964932420751835914838",
                "195238638522425919435884211480553252510",
                "246542658979556267491524313455430064356",
                "140025345877464962555734492253791188686",
                "48902451251895918309108553282460339335",
                "289018312070597700235981870869983912925",
                "326293244774859258287503760547798704034",
                "309520847406389187405348486327574242082",
                "41810774320623649812306924452823423311",
                "280603369757497801418477824462874297302",
                "152472003225092087361011694611806103699",
                "18597609444500940664429959714289550790",
                "71090297263123697585594499770431982041",
                "293288172778013845676014114580887068801",
                "36183300153706021567698530827366479694",
                "234603380080029977030174227477265708463",
                "55235005959201445219986668641989798823",
                "170669658478113311862637093522847326589",
                "281989948154231009733546714531808814551",
                "122922490221561545149724644264317594376",
                "276553816768268635733266630846554583999",
                "67290923411500161459682436849116588483",
                "132634209334452370964904960151593567328",
                "188410923074309149730681432639268859487",
                "325700273787610794531201616511473856170",
                "170402968065031671152122202844292537991",
                "42977602210710862775854525236170602412",
                "159159890760222887185358974441133748270",
                "163560349844869782656553453967883647522",
                "181992640320138251842441657484399159729",
                "315422677495271215986431242089874414406",
                "142913862723330725351967894672424792153",
                "228154397954814006375289957229180031600",
                "323057772393002120527854053116373451775",
                "336338868377172517378263430463173272313",
                "53227095751553271249014306319843946580",
                "201104859058810668027522745829221831539",
                "74982221670053509645424417272215340454",
                "315888994729241923030469183332199539261",
                "276060954442335054078156660571014920550",
                "275213853633120175788210645767781605628",
                "293224270995998674102048007903046320664",
                "297609450943529500412626753215221221647",
                "17423711396602365767556121686402239109",
                "120714504422426515133458414929675665389",
                "332221454021890444567932325142625830516",
                "315753182544751616868703306245164985060",
                "249686653294678379534619733299770061889",
                "169659934771426183014311295965160812520",
                "62567692505391688010783005016763405207",
                "74204608770398373544557138534801771935",
                "176668809588639751460591483408358658140",
                "259975319066461481219433405032957882409",
                "171865518124219865497170403160338406341",
                "153776831692002646228860287945645994012",
                "310733361994360342876149797924317514457",
                "297603309086670505267438473629342920593",
                "195963009432347396657083879649418194715",
                "164421886272971034228040387793716618575",
                "56903218959229165918920257253129603784",
                "38079382840172029737058806290557223320",
                "317725514615203624262640342208281534522",
                "234851642115127312851057740596039246464",
                "340193804139354553363307520395974659944",
                "133753586631363121595812623723847218757",
                "157336781021900992271606236111852149112",
                "71199795751165802252038615652268953299",
                "206367151456893431505865493038362210179",
                "60145349737083281794431207294108022874",
                "336394557825544493839731112485570934601",
                "173775268714209023396296876135796964115",
                "84202723003136196733934637702341081631",
                "258569028614286613631131815385569489723",
                "243044546637724983120651024058536524048",
                "336746626552507053624119999005225989261",
                "289736847386267576430468532191981744414",
                "13444217439821508881038028300816135097",
                "90723805017896800563689489305962851883",
                "66238921091249671376022825376702303836",
                "288007623848920225513714499851720969406",
                "66636499622348412394229140662758333280",
                "301628547287659321128191540242088064008",
                "220211650535989011649132804511684730398",
                "121447188782092893092825666249808197143",
                "122915784357107295215693002164711827287",
                "92023291921017697807334911428641984652",
                "27856899868233931867430271740938146283",
                "1037014374386656069866975976650417330",
                "106786173745438181460077578270291230045",
                "966236750438011974401640863731932626",
                "279940796543448657059967283873481065164",
                "32009158994103694368244366380280579349",
                "24926570011240879004146875150182216180",
                "130524172919006560185438059776212674619",
                "270079447451952635356224318465632598130",
                "119935315053333293655296189879968608957",
                "285038298978327143473449311779183325531",
                "286793115423623794662500203568452885114",
                "128025773817075967568179591219418002152",
                "268644402957474867821699091327659422453",
                "189562718221602803928350881961932746432",
                "307164847052845213060454994047742494147",
                "285997331481300289315146305097689823507",
                "75295794698301603089951178821447808529",
                "120691116689334316349846756216177679693",
                "180935358036976253668002057177389304521",
                "205105277477307127928927149019898608400",
                "22408368782290396506048205030771640705",
                "336933216530666906531587900404587537531",
                "135327435375840097158599512829345473322",
                "271380962501029615956469819115282234254",
                "237774351640048325591536988979268572469",
                "268419023286867174453753853741487632050",
                "166485510755565535707867941568149238924",
                "329483049442305946517987808902346864462",
                "286850830006405730876435025407960645548",
                "195452208817519800953922689653051858495",
                "12816271317662074126220666311476636761",
                "14131490463452482986550142323849076806",
                "150500176300341169600895406740290300864",
                "54288002758167073359591842946067228077",
                "120436450724133987142788057259368951001",
                "304469632564447706416597869572682562521",
                "314474596046103121770874655216937886591",
                "192280698592797431822185469473130856392",
                "233255509925442471741109742080337729133",
                "112598368194200019022417419895893431031",
                "272370657856076144799601508451421684157",
                "11466750430048074673485628268125696882",
                "37947342137635743849790171340034884934",
                "55297448456042623189735729819829656499",
                "131112960098619599870877155738171100981",
                "49371631597246014660417634528905979610",
                "234556114699243506430331459067793347854",
                "299689124992103821857783103300993848722",
                "169642446894481206211275328953486470260",
                "220311321584200627752634856490082390981",
                "163765540919077375611088431542682613036",
                "32536136122291260648082228412242728724",
                "302375991955605204322862979627934244159",
                "126058288803905508475507272935834575939",
                "14422313669514909056991488358769132257",
                "331453986033342274773953694428862848292",
                "192661103961742633497958179111412858249",
                "6209010414283929054402648341401454046",
                "237133903846192430046193562528673062361",
                "90267933034481869674101030348766673569",
                "55885747924828996708749443262849132892",
                "24478194661398786214127702995855808781",
                "258218107023449702532924936271931115960",
                "41392753207552874622810249076956193105",
                "336562224819060216655221165452199237364",
                "274496168145924580640855842670751794474",
                "191589674002087477277123514165733375958",
                "52628317046337700719632325682307937124",
                "107959815094778400552587632430439179965",
                "16833873624200840535829854001992589621",
                "276892547596888663978822344816132988207",
                "282905425057046770141174840046656237858",
                "174687215602930067166171701781854124589",
                "272360047716702641292265139287062544430",
                "140131025249119736146427522387405733550",
                "33831843721817744277445758741853149727",
                "163680463115149766067072964058593326061",
                "173136075489924115733328416436196871679",
                "178371757179162014895552611475427161820",
                "147321446751214894657013235522912500236",
                "51992855517083023171699563090976933494",
                "105967588000221114691866443642322642208",
                "101612521541680979591802246994211395480",
                "202618661560858100252265698019846641167",
                "261002639268156669366582667725966214047",
                "155725903504504245333672994856382319248",
                "104527939551314445109544617694586382837",
                "117473902811991424345404927603412848510",
                "67711762665367432425868958666127977549",
                "258110705438290907151558673156412912271",
                "284451503600479926940770822306710179784",
                "285716583096024116079929361719501799075",
                "133125356020068769024632741804660017958",
                "66185115981326180800005210061545528584",
                "188766089149745621965739508890366126530",
                "289042152501581124640943993835394513636",
                "225700328226451867580729355348068703963",
                "253676311305754811271216271172245417500",
                "266843728864676761351380699584374688333",
                "57917283514981613605912445376822645432",
                "113501225404015894816580903405282165679",
                "137834454682337395746127710609963013172",
                "301514047757470612591915397312436903187",
                "33585637058187002990955536697316093478",
                "217398146313877298177275425127036279255",
                "266900009880122456637447053964123007866",
                "209945056013086523425226043539846264213",
                "283411793502184657231803143338859160836",
                "215801334424350442091249460802759017978",
                "24940373898167192745531667430580065470",
                "225456780268014561692882547977544054812",
                "296536572662957396048301702102940779211",
                "54480815915700728618406117037717454354",
                "208063359096749587301873955509850445130",
                "144820283229354670052439688575946790185",
                "203503018687659566940963792211457004994",
                "127553952645820985561512665663172504204",
                "50542595765408884410558148903444120834",
                "256937130672275747166415439564880602619",
                "35859426552243735490736924390698899900",
                "233718111156563051586279679509887639478",
                "124274964711015536245489998159335385614",
                "312630341620941653250987843330610488287",
                "325148061879945641635997430231383414823",
                "274565768673618113675029373972385488154",
                "142302345736604906613614541742485614295",
                "246847691443399807366415115296477677925",
                "191752070383726971492881977194429846585",
                "304133927869036688454118562613205635048",
                "239630319390634073377298252715951964891",
                "146273886765190392689915281672377231196",
                "48826680816514891402570544742400712365",
                "141111938456284895136280879883621209436",
                "254423098542043413361901923252383118102",
                "254859190844442697980837828493409577391",
                "41709390371988772388849072179086914060",
                "137655938366853207323232046124013367890",
                "294529923979552276153788645947907638049",
                "284387988918428294234451420864098968523",
                "103492429336222033691768136060575897516",
                "315582252757276891488715881019281357591",
                "93227294628049586066693285549580546149",
                "162511013953595551722115067891153641399",
                "54561953490040886694762780301376006063",
                "276982321581000728116759860649924167175",
                "280597788454456068852789986035341211348",
                "231323801611889247423199096084273184745",
                "170697980037475701279360160743161240146",
                "58272145336115166333427576416173936283",
                "209217192167680306830753550660518515614",
                "144222359718099765632244011628124458889",
                "33364048429742895844716044285164325189",
                "325987335206611505294679240319272681189",
                "302413180785546632818237489060569258122",
                "277286614508179572786272526843592875584",
                "7165880714599095262937593932679575286",
                "296607119447398321461301699204956142359",
                "44766654687835154983964433521157652406",
                "103399113481410592551602817464443720952",
                "307311423296103047566843470594062272214",
                "152429708801143648301519719000985213664",
                "332184484863146244766634284902843342598",
                "135696161080821005830762785923971789392",
                "232495099749066300292743804841159718778",
                "287572443950727191405749958364172253694",
                "237701170096920163845511362144868107243",
                "128315981278446597603705706036970899097",
                "97751005340100429581639788284303842578",
                "207070677844214046846395801172789734548",
                "153166278355203316541798338309273455368",
                "116614571278465922901932382311891467653",
                "182266090655377387652754350215118196376",
                "20245489462065701662810402462325508934",
                "292208252279230127690744147497138373468",
                "238370034723997166398637170904710689473",
                "215120118299163866225498131711252262656",
                "25157357823187238327633300565828538080",
                "224503549150712435932439270919095682044",
                "36436232465121928383875978377455381937",
                "40927736948704201905120502925032996967",
                "116297750296225045565335741377122345095",
                "134629954485083394771399095066666580771",
                "147020858579541859483913952586717096934",
                "242083235888445939796283191580871903371",
                "233135506334147438681048558731020162924",
                "236846249028022341054134624295980613121",
                "284126170686035145357652567673412505911",
                "111965310035074603880428021640996294373",
                "61244961818454183213151346085594840634",
                "96012369486260078255241847798902003742",
                "135770474094361401753370613358779669641",
                "51950323846482080847722485220173015872",
                "112321098930192075447921361564548535729",
                "226953413085842127542882444743770176343",
                "134835619094778169925291193410311279926",
                "50933414177377901297233444332559369185",
                "162420143811886940338681447353019570931",
                "323498604647215334253269770681404052856",
                "337068251123079426127543244179594706885",
                "278526477382490015637370733619767613787",
                "81827881089583381196277552565292154110",
                "43265349071127396746614321803668405301",
                "336238778501715172313072796247184092589",
                "281260281014504657764062715751431495103",
                "214556506845475633281230339404078272004",
                "2498844043779307118806324829450651023",
                "81821875090494085996514172275344136161",
                "128711438924029820568033050898489815596",
                "232329013873741460983234773043212538776",
                "94764448356451093441107188847854042152",
                "271830958339927240058030802642380102808",
                "193064969174790756837547220406557100613",
                "299760868701379288414520384821665767559",
                "3953545899094050228926543026766581144",
                "243277408604758407354063789211312985221",
                "79896790987162804242951019382830136144",
                "65605033962985042543980467085539810446",
                "300467973167019170590749625697718408594",
                "292099330671921657690649899696602831198",
                "121672482316128332558412713917224813848",
                "222509837097844649541351266544389671746",
                "70182893651194264321649423212054189446",
                "80588400609848755738378234530787050902",
                "296873285543345562205979472225028516544",
                "17686549240970707756030937387456333828",
                "13150516082573719049631010857528147298",
                "308332961464535872651497830485735700732",
                "264653823159317249091532511389888263016",
                "179071460932619128261952776149157672745",
                "323461762302980720955429210673709549115",
                "163269409851109545858859954617074665947",
                "29890682864679983480528594343118369842",
                "49070849694577008925324823726874229108",
                "106017406755900538216184144376065529201",
                "18897531582403267742012838361033789153",
                "97148587561865664836586711092501179094",
                "253575238374206568578146097899599735408",
                "263943905420833785790461873893029926431",
                "22943367099205936183206841302546564297",
                "207739360947275986011101684462417573696",
                "78303025132910068438115211140522985771",
                "188406797303448266136736430160037742209",
                "332588620323088962523860730863992132867",
                "163359742572092445220511131677146029190",
                "245845223799551214105100543354957011731",
                "17299162340536523854277538427139733614",
                "212463574657949960812196861814620548804",
                "129103793584691705374729787100614131079",
                "226268044363198779792117911339105760121",
                "59287551815911054229186016431582481700",
                "57469475583217761707254771300596875320",
                "124486812600899726044820892145140140771",
                "28941297024480842584277906024999358920",
                "281959523704662892087284521611423466886",
                "8896837026876768627232745299360371253",
                "154894381447591186484405113797732915047",
                "255700188033967258861917785539717297016",
                "251855795296738980690093554562868733389",
                "106718079730728186977228824632180631294",
                "34691612618909757438817753432893343130",
                "67722970372997348841489001906843398479",
                "315818414340330055598367642616237895958",
                "304784857291061199540457504571755298922",
                "182475572120642944766583766015356011569",
                "12854784482784863763840494160975704272",
                "96028920983284865476255042374115532837",
                "265546900690468131986841737232269164200",
                "209267546145337870442255010953030512206",
                "102561480070380328370681587357812017772",
                "268163566872678125464239921662326914735",
                "54262453582877803868329326240848013511",
                "175520295817257432045428631723532807132",
                "36837941770891561012316100906566622945",
                "261720501850786697180050796549747947648",
                "75718992181565525182346284220197084983",
                "157140658588434292988257653450248802932",
                "209413019563398782029029969438813647502",
                "270730029391726303983033126081171456625",
                "26006384126253840388767462949896738553",
                "156128024011989214401184039113695484924",
                "98296452018604661582984916833750005300",
                "195733712772620169885520190227017118455",
                "103824840652399519874227727267033042330",
                "311753996744228608651617967514218279544",
                "144649202038037992045602062165781201767",
                "117669068081839019789301374010249848965",
                "304690924323796370303073186154445910467",
                "184244253868489501209307465177131303241",
                "143353815272824811960148664008961939446",
                "302739364270902353734291396706585061598",
                "240449307637485257268967221138769328408",
                "283453829743093039582900113418563998702",
                "106519113364508781415544794607617334182",
                "201129380003231944842585214192429317720",
                "86924524049685365004753681493233266000",
                "68310792705376567652084708025424251309",
                "160199105938079898100624905779237921486",
                "238721435691643001516219531001996082674",
                "129246471766613500157665655272423005786",
                "227926998995454037763885623340555729434",
                "20509363557678717587708165404606366306",
                "203329531482932205748635539258446839579",
                "103802304696334815607392148105301663314",
                "177211929812666428976727908282092068108",
                "107924664760156729060427626517955689234",
                "228385619761426993622681556556994953878",
                "195241716980788627632717355941723918292",
                "150673831557675052332339397290423509704",
                "336116341320182836506069310612017456110",
                "86210064434197439317733505807370055869",
                "237766962179652783585607066827051511063",
                "304221622898685960610373019557488122236",
                "86828842243338226502834499319730073935",
                "293403627189818888689697902981438231278",
                "304573394157332343627411423701559182438",
                "3755922691171631946667016051712481713",
                "202636518887345243979416459305132251806",
                "175061839574453719594609824351149255882",
                "202986766347246033216996878767394992190",
                "319544607328404399577645073828851102583",
                "196598461174386282425094815531297867260",
                "75916226804522577232413769078283465019",
                "334754783676805015527720085663094987759",
                "256461243319785473885257451897198762059",
                "324294926743736133742542323169421838368",
                "226320841300580374931239401119169996540",
                "2732351983776277748673221226807308139",
                "13673119707655515661608260889424734475",
                "108766834865599007409107168469660676477",
                "103496554521263839809526976720936348588",
                "127578102271937079261082872651902083753",
                "170681044784335225858720815857717468805",
                "43125660009425659210939905882647978361",
                "30478655154607012089377873792308039462",
                "285921865429323737660506859688576584730",
                "95756406074038279815413647125572467178",
                "278884743611360943343927738270651375439",
                "212789637389800749477869085680705089347",
                "65838104584744535430104164554083184031",
                "172668988828421438471215504130417288786",
                "164997982736565284198115593656477412448",
                "218347986104956486291240375454400988453",
                "104278453656872138309276439637910121984",
                "99851102917915054162720268545917774700",
                "272191570973962722140567019288670911739",
                "80537734960233604191445334116299378234",
                "292933754877324147328774663684180222703",
                "330926327034172414349806242700813233134",
                "267622535695477361667040695666268038253",
                "143823234611808133872010165900175727600",
                "246747943694839866733067366674540921954",
                "311074960476012337225403817986392868343",
                "112312380152543783034806270945936734311",
                "253290454250065890418263808757641842593",
                "292921904139086632994892898206003537005",
                "61802930770979776518045681914198962784",
                "115115473383118714842450811994598774654",
                "261003146125863835013400561949927557598",
                "311189100164014050039789715258442411584",
                "35684934597984684986706305896617414380",
                "22986230759382021540117621103587598016",
                "102733965836983760535719014281632018822",
                "106129301501036435245171956762314243938",
                "136467189720252170888383660276330989517",
                "259506721101568524087274460274253281006",
                "50598758480138422248079556145542334761",
                "64968670643850541741983376465572739822",
                "211455398891624496588718814134325269906",
                "340060693711843250479333952793627225808",
                "63653625716464870729053604632455064792",
                "12507030747383439066250962427794536985",
                "9049369804441422447703893828669263644",
                "191977201473127788094634222993748523618",
                "319224340864977646752457900621190996565",
                "16805357338324133239003310698856954169",
                "257833915581580502233187886294762090400",
                "336072296000649372684237955193870003129",
                "230725803441042692620557318603767922610",
                "76749175367579182698017746883680027981",
                "30194449611020017480729088795693944169",
                "279348128174518659190699069036282337854",
                "202549171750342753426836883306597958149",
                "96201783097657502434412998781622824799",
                "308078655516256806325116308066016385551",
                "227615747582149088265790185466307045717",
                "108684458576907483297191163702441082592",
                "129372129569598179891880026679634776788",
                "215419016499074058873526682702903995055",
                "87451298294933046995590320447770941568",
                "129630629092603045396185249997570777594",
                "156452810935254290110408064601421962382",
                "215833084865733062863002967732293441809",
                "91014991926346150970190209764402294264",
                "89151328230169859621499929645676845064",
                "248660305875040455829800288972768745469",
                "256888346329302149707545103632388136579",
                "16463094181034649707371809898824406316",
                "161917442441616430383867417462412949523",
                "51767443485795084735870285666409509146",
                "104011250236770058222912910550981731089",
                "283483221477133439870046971913319739385",
                "98070856438522610233116250334449909236",
                "61456741879622812174791833121043805337",
                "113191874716827585537005006402922820814",
                "108089038936937945865482485109491073215",
                "159673583904007247124742250881092014783",
                "131918185945908413468525024869058692965",
                "266363160435347767795764022327332243314",
                "178866725252949442330118022803538025279",
                "70951326086205052887020401739706306804",
                "96782788489613110327782364870418919771",
                "248338622878689303839365456663430472287",
                "290881187281889096184585471432871081964",
                "51885181464700700360311479137463594458",
                "315508061794888974666537373806528617876",
                "216702838930311700507280147993995139303",
                "144521974200409794055975825668892048771",
                "200773805017806021975708783029472015111",
                "69591189400462601175317930323519015121",
                "223225644102257208157325942354625652900",
                "262475338626845348930709290313397651246",
                "138235695933611780485094668901809123619",
                "65325566529193675903744774843107592159",
                "289412977890214015866229059804129014400",
                "91672981094108515415837948459738866261",
                "39069640880278501339193281961679932794",
                "215999602099878431910852712372409304451",
                "227273886260198809420449811535534425346",
                "19540217994344940451587066265658933215",
                "177508703578721526419695177436566750587",
                "313646142554499821466284714934964859946",
                "101628642209854231622989799143184732237",
                "97589333042118396527625965643648762942",
                "98570765467473537044350344389402446788",
                "41067693274231524173992498640801798436",
                "331909089279852307941843086975774527352",
                "222438946082322804435145539684096594298",
                "125511301475421096290427488817338843393",
                "306699871847289287343002010978577495798",
                "90066552275725949079559886610016672443",
                "157731361300349382905733858589153050058",
                "21644172007901222150726808761853479498",
                "9885696652879100339715211577052327906",
                "122949329534810829467251059553996842181",
                "225879145729808733297283052652672873124",
                "203832068879049691946270363597809026705",
                "119733190984067676037557066293061650377",
                "178619298259132765392214977050008507915",
                "185975016233019149851168855937419306453",
                "317727114184120797794244995950291054269",
                "312458457125721037766780910470995931428",
                "26806825775378485728684070572451904444",
                "306226060212134390486605773113265606635",
                "278092312953780502253838487053330575472",
                "93985250026285382158891404946297694914",
                "328684792624226968938142081469388812224",
                "15768998679282443493321019585538931477",
                "197953086914467540663213603607542877828",
                "305562433091215359415879298474070085772",
                "50204601447668265501745227375379204315",
                "57000493583969578329152160152696215489",
                "295028738864847239205684665523405273685",
                "219289948997135754640747614421701233887",
                "220415679964855401558762778741281270513",
                "106572909701449465401960857695054059237",
                "235184166896351357807268834850367663789",
                "296542991119301690866037934549815901671",
                "187070123837170060192802863426329669990",
                "192121523251709101817447707461513552816",
                "20927256185857498292667569003608539873",
                "247003841262173930981166383432171936290",
                "192802862163578906688170897634749480988",
                "285778877371365437218879837316196906040",
                "271153434310720082839713856213712895651",
                "314791357298451193010592759072115088042",
                "159859603820211863652119844970203453745",
                "130484968220114717245837760521496305194",
                "25992142622013423273604335719409309594",
                "260552235762390122463779139698490972284",
                "300708299268359954985141631694724265688",
                "181834685868525542143880038493093270357",
                "201227938872979177168296970715573353258",
                "52786133463885278303982545997242064281",
                "232255658544696764711124144687646857103",
                "242501640642427282751730625261371059346",
                "236051159992307245558067218048261125399",
                "85152521196120751661649306113725845836",
                "340247703351473760519060170776262859252",
                "339876850346502115345176490537250344391",
                "111911796170402385201603663740731629030",
                "246733657843752348795628699988489015767",
                "84100301338969213287966689305327951221",
                "111584832067345000941323341696425768864",
                "227947108655887382954773785272261650885",
                "75127531707341402065512428147325525009",
                "285338889572253768209337729895085432693",
                "176804308423798486086607790339411231076",
                "172580867312305490989068875008194331487",
                "131975569207875152488311899367959126413",
                "273984851924728983760620587361459187849",
                "224227895227226939694293324867616241925",
                "202660004393847263995096214075023330317",
                "247242292803644122551728331023065393502",
                "292096063622749624616243453860566451441",
                "129271112378492852291536896898989753129",
                "188253877399935706001750085111171289209",
                "131943759398920070958035598541851365620",
                "183134145052157073605917042561021450531",
                "325953003087252463044244250154679024605",
                "122182445919513935065759721822015253320",
                "171932512434991166736959292813878788055",
                "116998149772003629731428290501172183034",
                "210138648631100139954232089275610016841",
                "147595343988883555545042616734169556966",
                "22523352733550929103664340003775699063",
                "51473792113398848945076172941287089976",
                "260295281428904461095428180130960742272",
                "104289735413815817816623957315101433855",
                "243302390741755176154242484073455010908",
                "254954602948352104407475326270788320954",
                "315960355421239045874462631829074631680",
                "161851337533098377952020577201245201030",
                "286892796799546232125402213608609604524",
                "305438303468908069284380290681459184769",
                "34260918223043409062116073939896318909",
                "5910476169812335061651920475153694198",
                "88476598510748608725645098364378640471",
                "67471653460372355830962647715786107835",
                "3369750922068307849845670275958374546",
                "149663323078500330345070660780877055643",
                "270708186337162768018111546224460423413",
                "43849171615228938749731131899842953696",
                "39522971177460878697110379321619132153",
                "303453336957889522860235665415800798081",
                "329422400702107027956143648103897994129",
                "311482370546224293362317760219357158479",
                "10509634775918598171090034972355290333",
                "234946545344758479466313442035338538497",
                "269875702217003433890349697255743579660",
                "49978870798064117846526235486245688520",
                "13046947971125680489899976332754414922",
                "51390827211304507037226801220616361996",
                "82897710772348300357464698573666447590",
                "68191412547177914640151930364462363088",
                "225622156786170636031362963916335967264",
                "81113146301323995892513584765416089844",
                "139819249094037176584984188540271725354",
                "116776242448254807854192177281319675878",
                "307653591418442698027561208518916442096",
                "185405803652017271881237456514072856775",
                "84621733252920906974260788193884872385",
                "20183234028407270901272349941118224776",
                "85506457336121650187760688038052788600",
                "193547986200282327453083556347779022809",
                "327734243519528216748838720429777918588",
                "332305556376821542387426142865827355243",
                "19956241855989795837549952642302764319",
                "283749264461588419301191559651765970124",
                "92916799158251103897446951563340172044",
                "167876837764054649376393909028448211112",
                "17645483355052986818803653258601248563",
                "195540748138924584857706847191415300627",
                "232015629901598103793891510110660144659",
                "203425897343015658469959487025664346695",
                "50419276978059658389924374383583599247",
                "39152624594865006106458775289677034783",
                "244321362930785377497230309700410061753",
                "152162384388651189211819904294853297965",
                "262948794788642863676509011536701039203",
                "68460467926191130181890463771534324958",
                "176801046657617078490389212216000449740",
                "16913124931615420661119099777730125348",
                "138635908537136338792164546445637910805",
                "290096752265645085190320830004383978041",
                "171341530524047896920557745807970601445",
                "269904153654304762509490703526468038339",
                "112008167356091289011303612652686284873",
                "330920192983839800253334357709711711627",
                "297284307578213414937010801469036605024",
                "206225785185782539216731000107218003191",
                "189788345658184849157126898065899789524",
                "284728625742135440373446982130193048130",
                "19434463396462686719545077914596291922",
                "129029173019797992149992641719420806558",
                "265845390410823354990639852427231531289",
                "74964057749177614806481507008920967836",
                "175377845875070099013331074930434717697",
                "67446537811973851753523854307685742938",
                "130342393461766525482715112128624387461",
                "248963895970711553260119007854420897427",
                "108960022941085758225631878479250605118",
                "203212935691195157409366067365040664629",
                "294463998431711628434111136376248031646",
                "179716698329554938417411795984132683823",
                "120094424714624054326001162928375689699",
                "285603743868584211359610512261641974801",
                "58075321555679889715529546721673228506",
                "21552572927211721590281186757109918063",
                "159029445885321566021376246138745759867",
                "106721214312909684698043519916160461374",
                "335699417224061317434563622403678108413",
                "260270201822634167325767128930516247727",
                "149616839270024544681587900419407804211",
                "204810052394813750563063699668933842325",
                "98418291693950161655342463334079149679",
                "188471059762822733279539471022765345782",
                "325222155218226462685725102885556302377",
                "99719411755203747614730264553936874008",
                "109303500753316875623621266517409323061",
                "304215909775779527090455100177419617928",
                "193034484984445598409041145525531399839",
                "34344924064002025417542736350744577484",
                "61753606464009016196013063686333426230",
                "169898707358990376021728846214404938541",
                "23188611238586322253750833201564435469",
                "281825049280379461697783931009083897843",
                "15836965612923293615583120884586159019",
                "155994176327919619697955498133680439077",
                "260142105064658363603127827666067510515",
                "54185777091904428191905341958669699666",
                "134016510734531712774051198478648220302",
                "231524846154158398452717686045160112048",
                "252368311294054031521069177851877847607",
                "210114916470042783225718625434332392719",
                "264458112112292189472021453323134658678",
                "115140963920170106210711286976187076750",
                "10174967437752400335475943564438638249",
                "275722902527542353783784616997764735804",
                "247307555071679024819275148808389810118",
                "12863818098902600124364630340455095222",
                "42745164247870954281608504372701787801",
                "77426808657921770950898367569556669275",
                "298544780410141214108557851787888589969",
                "227095370378946976487125581367489147683",
                "149702562216746089724692723458576437207",
                "238279283205407282285291687015172538123",
                "64769357001414555416830603554211643",
                "205370750048975837731915380843716219314",
                "249601282471651592335606966681230393578",
                "299305295737304426843256806764158362972",
                "159972104702387821644370831508874300267",
                "15076190393049974705572661015112717065",
                "237461859623040110835410252048024357627",
                "213419971948264722001962594468568734313",
                "29865033465708600557664060534139636835",
                "193062088176944206018972037705262611418",
                "265224677459638799015813162197197925232",
                "326527865982873965898232422949349588923",
                "312643096772630063832608314350038243530",
                "270097698114339674522413336783292709678",
                "74823431032267261250860379673836953918",
                "224153815891101794110591005683283604049",
                "231473107205311770591607594534539551726",
                "219454368175834309303571614796545793143",
                "139852511526892918153322957029382890871",
                "226549471181136909800924899458987063136",
                "149326226572200519292867188478337803955",
                "178021452888560738165089291026914705265",
                "308460809225550836588318394917203428508",
                "258186278354228139289341322094892432258",
                "297551736763414408516203536328057880839",
                "15380106887876394723397207254695321761",
                "276530705812904236644373092795402585550",
                "246156324258825610619019559266068562244",
                "309759840626503920090291538238374818082",
                "231913253583578127205254756086628104828",
                "164873538356594913346874196824390494532",
                "148509433679198216008343836230854329890",
                "286740293779039111474777776538394903433",
                "269522385054547062354753129215337815169",
                "328938561335030773428929709035733379373",
                "89347240308564269897362796171166727033",
                "195523616113135899140301154043366783356",
                "210679879640928234241116446065574284435",
                "206396346622585545249144509030936466632",
                "315563738963527092490785644325880229230",
                "73556058231810762610561446017242109736",
                "212979813104624962017262185946789645215",
                "9104435096762852568135064328430674415",
                "35320692357347575744823650563400963407",
                "54211812734905940874318557811276898778",
                "106415094842895923036588901194381998361",
                "339005985924922192852189155189706737922",
                "159381362511143348934020736726276631086",
                "29821089717031778613835713742895632581",
                "153796462886686674358744611530555467033",
                "186660091904144406206153308370254783951",
                "36875891665308977832268788951266670330",
                "44140561950938824223527187464909350465",
                "240137857504264455301955608964071768687",
                "36131131009096230711382547621597003370",
                "32522428243138877388905227220081960901",
                "166344793595952754711160823475273636859",
                "312163047149477311900299798503786154516",
                "161591487427515771875191134684907433951",
                "48863520234182510723636997405202813847",
                "319749778207443122573324528577192007635",
                "223779002177662945409586158562020748111",
                "218350902173060694903010452389872511791",
                "156452037081110828777760016780511946018",
                "25909836225989768663854346665058025301",
                "192942563728646510922469662522933021938",
                "325715396128305170167915956067922648171",
                "114245793333178635147962270035582940873",
                "19571745782964146040586890235849286951",
                "256518850139608318497609756840098676755",
                "113975825304622180594454598283096172206",
                "257142463000285419166411086078443002623",
                "40050724554066945980635322531646523082",
                "40031749834990441754342263222283859550",
                "276170061949312397598058407554160747692",
                "19380510898816143027562744276383568249",
                "184013685618012902666340961292127418221",
                "228839502647656254942239467637109011185",
                "199993294265219692981351167730297002277",
                "262998778361119042887129240465371876522",
                "223780645709852708810802676377928997847",
                "249598399140499077844644313801528380865",
                "267567039970539090229265435250363736781",
                "282190633545143505956386019822350242583",
                "253385007819643257936933801617336062886",
                "21788209320469512484760950359400297624",
                "34033480502975375862152655358532150501",
                "211035910549523847332256346625673993674",
                "18184240671035530027671180758867856494",
                "124093218814781882816535464257802736671",
                "322230063192202204951211341564319802879",
                "6613390975288430593911616637968132564",
                "338238341431159405306019870548975417344",
                "83810721842029831172050387980789160195",
                "2426336533292662037473771412410914598",
                "225453992707087607280091121440930492510",
                "95155101527776461141708875925427864495",
                "6124194515199822182159346676161017321",
                "10663327622311634515008204052257162378",
                "30302297641522822411190962778191957003",
                "240681322302424872893396957466242101110",
                "45139559080985440459339707219018154177",
                "202426242032374437940217245226909758384",
                "175005565930651247887128881120909085848",
                "120466927258032072372128606668808965085",
                "32434508209347064656053548965088937142",
                "15957303245364716688660248753800277982",
                "322609687482102089595800549336013218589",
                "57363052472091315649065971411468284728",
                "290563990959612799809352324083519729659",
                "159087891012276201287926375853996704379",
                "133261869127826534373034426579126319638",
                "17895669460685374232547158881888578051",
                "246029137272749027348629056327878437567",
                "236367691014047836383051105256092186863",
                "242559291159799230817586628153823542428",
                "234411640685472910955877070388090383367",
                "43618484849556632184170259985549028013",
                "39611294570571742426586741871960510115",
                "287232864754326800583023464186767668217",
                "235078869197669173002750170854108888936",
                "16155417650939321090128484336952902154",
                "53076650373178677984207139939684676890",
                "337446117757634132719903611566133020666",
                "319278107428863007770561171613526157134",
                "79229608593445053853059589105515606723",
                "235825899723330335610905658912100147905",
                "135129172690300891603490600840345460619",
                "204513197430572863386127753971057571739",
                "206779000498731643584561020016289489700",
                "245599764849813091216243138311624441564",
                "130423378194228388179449777972388795257",
                "304174805964700629119552098108904626328",
                "174834363590692090742845552062803925419",
                "13553025457423085417378386622931847908",
                "285209857835954420136203045089378961781",
                "9816310841864705192376882069331612862",
                "59223706736278881013635644995459368677",
                "6222056894299544137712961260601346789",
                "292252674477364057562862848062801293734",
                "226192002136638000710522147736094476494",
                "316223187239461720523587712613693846457",
                "54487821987261593123531186334878684766",
                "299127122872614592931809928865458100162",
                "334284115843979699399984528401858258851",
                "171193744315426956303381885117135494191",
                "255077385104739759445018485375331376137",
                "248565878064667360001895443007410372906",
                "33776777797777061771179835852673153393",
                "265283330489725572975181595491527964749",
                "111922524293368702355599346007762201798",
                "152216662732170842148070665541290318033",
                "313981426048070876126366610451928724556",
                "319814693506649129436462004411608536414",
                "5841300295737767200298163403810773221",
                "313767165087739441023805225054488219200",
                "163849338451135329774379019603818245336",
                "300945389518378877977111116465299230000",
                "131606998749355649017777974921790360322",
                "333637832743328101793544409268282356220",
                "291604604868451279102140378761021987561",
                "158428914303055641023875460604116568247",
                "105007351932536949809034721498697955778",
                "265786997639699710779774084458806074628",
                "111616000661150787592458706743180340818",
                "73687209830428636122572592630748740119",
                "156509538845159718342721204122398958228",
                "123408802477423413332582817095669421062",
                "119341177334648836448146260062565118568",
                "217668225096092450949345300968143836739",
                "244694328991648111528130054688675645539",
                "151183360488693102348635466600952565421",
                "66050641424901316246240795705161752317",
                "215062647499002540068016847152931311856",
                "66823999269632889200205707489647942646",
                "306838661484210902086986613221923892217",
                "313584778691170154026827823043426913155",
                "180428275211015291351705133032754181993",
                "116262062409386209140661392927055125331",
                "294107057594788788389385976915436784743",
                "304371860067187999224777037028801664451",
                "179460932293628725749677696698639872115",
                "165159706808882655760169288221367883708",
                "290407570897108839628136362008444824377",
                "262596262368466659520152408668247204175",
                "145342254203523900576290442880072378804",
                "192039921709826177257084922876370833207",
                "305386146119811135613023620439396005246",
                "50577929986778616927928277443666568450",
                "158269749915941579911481782112987663968",
                "322124288530225365611985123635515527101",
                "175821306480347315927284879754455085559",
                "51849439325209340164265510178265081146",
                "246075467597580809263322814606117224315",
                "124810589116220719380944329456468129385",
                "268547452814868721358453596112207463573",
                "208537042037699416359097354104946011312",
                "105327168918099793778727129605006104749",
                "57533822925070945490063064798243729077",
                "278618299338811143043290403090828278517",
                "120134989892511300338068781452129878379",
                "67152010938116305782799019746867107072",
                "322607944280654249507584876480692382286",
                "94548384676310175987810974453919479762",
                "336169900565314844374991761032500610899",
                "71271705308709081623240294541342602896",
                "146256929943695965444220881556023141590",
                "130717182325333321590603456138191096982",
                "325620931966848107970309441606811650419",
                "259801196555874064894707156147509661625",
                "284175530880882864380324452133901787031",
                "275104872434944444478298731109812330547",
                "95545414037381344890001616045671471877",
                "3866476123622216135176048447925715979",
                "44561137534738750545911644251377210443",
                "290938596577998048863761738907198765226",
                "88873898840836282652442515404776261405",
                "119773154680276178160256018432286147962",
                "126386797558405590670006855069706082791",
                "298258989955988714281559148004117232164",
                "257041576046614330252457812050177083168",
                "188471647670318172937288549773459509625",
                "300979218121108820043491260010840037786",
                "335571545268528763733404554039603756046",
                "254678427871977795714929237919138756749",
                "31759428675875663987762068531173363510",
                "126780086566817647132821429644477171104",
                "294842342934133669520407076919725920386",
                "7803419403039376113614276591384160059",
                "253130633386746004969821644432339395605",
                "61843111843078271331796285171478949175",
                "315588118137383227169885459516102885947",
                "248193592385586750229283865470026221401",
                "58115096174349033939386566715629881012",
                "244891160611525975676821841581473053568",
                "111668641720290665558759769834768190556",
                "121893781025802220952255583732191177871",
                "224803561999243167608703050459535660354",
                "127661372165023684888919843145767759003",
                "300136823735777302170840677484973429008",
                "64346354728394385946049579006615347347",
                "189407952892536316103438286172179486686",
                "156986761002306508945453910993681880565",
                "173379104480147721654906623849117310646",
                "236446254432031623354571585960373589931",
                "309733180788313880735819203542081433521",
                "27533002464786852147429049647615892905",
                "116902496980636673447543460556830117345",
                "50390860365044312192011558422361197519",
                "128988127644290804528023534753114460697",
                "66502874770909578760179111375412306968",
                "334706050236521104543076392893634723178",
                "320731866113965259476905215101089560404",
                "289313799620715763441645249315780914490",
                "156687939148839269268157033957961001016",
                "115596292659468883676450488524430339222",
                "45038178362489273496554003070723823471",
                "98412310780725561010208059314419481727",
                "326487734623224414744042191228618653725",
                "183676655932469103909540886506487455765",
                "304682681314365076557216466457498870536",
                "1765805612574814952745439144187499828",
                "143149089699284458472315589645111274252",
                "23989268237740111856074934281566122512",
                "10932219636095719170868003290365361993",
                "288523438071777246079602208436969128333",
                "246253677472628504033120342893382949020",
                "296358670219261314800149702402475803918",
                "154457269697538014944005390934938247790",
                "237439936252243239954751935741658892756",
                "4074455336089711242110018992510727208",
                "243234354591716738470650921034860558969",
                "3095559951966914851025170673242452462",
                "330575563856419236733087597680926353681",
                "185684214277099720415016975751059352841",
                "337326363623764915995370507732256404412",
                "2328465145173254261168605865549091234",
                "282883674154025151390553389529680498551",
                "320527537193119000702407038423878867666",
                "267071069619264481019003292896462491635",
                "122314043549713844805171390721260825607",
                "68806637176147489087041510481370337581",
                "157956211910293881433915016576188637060",
                "64250650401274173548451114182297222645",
                "125606379396158401457901392267082137902",
                "18556685838525238775397112916307620189",
                "164993442292529554218548320238219338694",
                "79135404766549509272622546843356385747",
                "257585819845065767398931696876914304082",
                "280515132879739818483999962477183326477",
                "81434972688830921121192292058817209477",
                "171182002572482726585859764720035473090",
                "70914028283560095735149634408428328609",
                "99721881512065135755263350670297190585",
                "732981366258784249483343024391533148",
                "301974697610535731674971320464717389577",
                "17199886612311802803398772818870080476",
                "101673863200894209124336208337142201677",
                "6379692072991980597307739537415338944",
                "246569772209754265725873650981963026860",
                "51382034927521116638107641224744810418",
                "193932669822113742910592568955109418125",
                "274648249921126181188954686987247800521",
                "198997049833233754332909518870150442231",
                "48118977388276608174026361933264159389",
                "214655639604836672696594156660853247335",
                "338210545620244426492940130496469963536",
                "233753497380591877727013601218807264927",
                "237420852444767777332869315878182780926",
                "84646485351753356012733062805015585077",
                "30347614598020751762663474601604487193",
                "284700563428478156458316968729741049694",
                "151263538378475148788078309541943526954",
                "271005636333772906467677669366032812693",
                "110711612660151064866276378260108644363",
                "251855830063425188944688233312820499432",
                "91447815113953289099650118066008562479",
                "268692351395664059459776243421063512955",
                "28072280129543275488373329918620256097",
                "58924753960621983634949894787656453221",
                "94278407740277872116452355542715883241",
                "144245737896302513779600304957040871943",
                "124943107402787293665271655645111554502",
                "216818405717036524531699429386395022597",
                "187729213893751811166955045724921420414",
                "330419839941402803291998704276587056767",
                "180098847087815106311139967109804230475",
                "68458521655826460409888345095894307218",
                "258179714759627624128775157029908455825",
                "339927584712694073133973261801876492066",
                "164554290599757070180693215193359703722",
                "153627062233999487980194499102119232971",
                "66450961138504552700294079107291363686",
                "208792742710509660497728606485596642640",
                "203304229992440891291634829505174014620",
                "60634912269691951779715000078039499795",
                "87082102728407351865637334551071639808",
                "288718201824674510323175395170707971426",
                "247153775765064011134836754669889446034",
                "328065637163766567375117367004818303304",
                "152902287604911148330613522636016638142",
                "162866318935105673108550811398720571288",
                "79429230308161479736476706745618153417",
                "146539267354627726485792065021463380749",
                "331774493287050530570626326279903986834",
                "118849066909072652549660911239716574685",
                "254290855416788237673158631566706726329",
                "13199813694732569134264104184553784167",
                "4930826786452100785288893987288294488",
                "232423931148709774248343630381333868132",
                "256529377703807718972523502089620509970",
                "46307237565300832712818337812258455327",
                "274872276222866741324958832570828449766",
                "9592877641179726562658241999120792517",
                "16475180596500917350260424440498580645",
                "105216831561200598131918263056336899031",
                "339785501774495225834552590243787145946",
                "280574526465500659772355691130116593683",
                "35266461705183276500742365797629211568",
                "86615016325320057125366685906227795722",
                "194804510377551317628143133087997920575",
                "187310771564568009743656413255780956228",
                "4227523297126858040994735035753293545",
                "58369402543630311006030001116634725219",
                "6639923496636152530072006783686368170",
                "305593837300703012662196790030731246288",
                "289095809104223991088514042921357554103",
                "200661450168481970062007994651625350340",
                "275860539614483890525598528452468485246",
                "109159492143905371173201526246261425883",
                "203110409811039675406470744250830260765",
                "10593925451794642211907349547732964118",
                "269245991257247591862404074595953547308",
                "57382323871946960519447106378288120556",
                "58734800671231921573059113280601521693",
                "115443926884135695885091182759966966609",
                "249302922088930149446270812580659940383",
                "119565081443373888000278539703258330760",
                "52038140329971374723657935043914255151",
                "187134804851078956896083099622701488392",
                "170331454022189899518221175483859499637",
                "217052554031809097904808553688542013857",
                "131608840419103750398642746062870792861",
                "100117032130329640408354545648593260143",
                "272715589898175538933840510957764765134",
                "299345549101766460641409321224987780334",
                "181721864648935982885145091245108367084",
                "287880397238939869112955657963793448617",
                "24262753216709281036876819543795040960",
                "125941664537344151432696556478803864188",
                "247356206522189688933821573244320467411",
                "209524556915170409927065410674334439028",
                "329442348864184488978695397819803279202",
                "284097506332477175346263333672142089360",
                "192942143090247896712793668870350671835",
                "218691184859881756412966277893678186973",
                "319329394343277185945657572307933933779",
                "80800372021011375525901068334474468432",
                "119979961049149091038021328986202423907",
                "223324698889818050318540076778795903946",
                "218418546059397933526969510609428403403",
                "3837415306361786558553226068372918401",
                "96322086312465569990032522382229625495",
                "56230521919001880407508182911918576224",
                "236394952891731076540747998665073484613",
                "295247805663868470618654447691999999434",
                "313698008648548477449396312687616486121",
                "301416649318061930174098962561026678182",
                "119813996359411179521115925444827714133",
                "192915703098585833751828177009490647499",
                "176856614790279250478553020395713696394",
                "177562063983838992108348001252305638744",
                "105655313782136980649452513652343870028",
                "76789906455895072317264975305159640167",
                "296081256002099013443230635418625139499",
                "153248207249118611374754863058689570558",
                "49181664962718871073514514956358603404",
                "20787080607457090335003420636158559868",
                "36408930627034925261315602459019473679",
                "322379350540945496207202085927052312795",
                "48940287793437145918613865848470001729",
                "53507641332129512689110727892707369463",
                "323436817745082346156378892731812650125",
                "32025011414321802639761503530477454082",
                "156816140026248767124438224748925982026",
                "93872456189121466843576668271693597020",
                "256057162142558506434231017475208037194",
                "213420458321504708796364069979941955100",
                "46261041361457084248199606656610371427",
                "174925958637336546672115041156231380534",
                "142334471193577966398614877438189880883",
                "138011979385957812108561156134642943052",
                "184409001156950090250411911637062821942",
                "141716681637985116553531521155099418708",
                "33276195428623898770818027431400593939",
                "260975466227421987824380408127694695920",
                "338286101127707176169118569243529337308",
                "105882770977662708910971437999553474642",
                "32582632922848535727768146201363606406",
                "230387061793649976428640381738235626907",
                "210242714528357107356053325761054796524",
                "199767087355820311325736181409767836049",
                "117691327649229721845617947176572386384",
                "328638470505542845063247869698959384750",
                "65669963097619370124739377027597293269",
                "329837494670391818044111382857683914856",
                "187693604088301892104089163722488574270",
                "283623476397171589525548944614970493403",
                "149429847249176880160153040908066207723",
                "186832648538660976408443914037465454214",
                "135319661591575098586289011815924514089",
                "329717289325258933116244856016197819302",
                "130527079135589122599165037476398888921",
                "182671383182845082667028359947521285348",
                "24816705441491591236447531502949293769",
                "110763396407027652063942208112265220106",
                "238923037270388393458882954981977306908",
                "137855303949813241964008304066745492890",
                "84853883198427965005212493316155507866",
                "170025938931051633848944653626387086081",
                "28920113380719567197563887184809418718",
                "29051222450322405534947704752467669196",
                "316946474017146719394911250009935205471",
                "117610775117929968222500006453424339352",
                "134618450260813844805014997279475482243",
                "230323956655981756423213384257301915541",
                "82443455759731816894724207830392370390",
                "339322503520764846865495404103327218599",
                "195855867668076590710383245149802524972",
                "35108235068202764765087331346383681299",
                "57108964276664708785938301683077394054",
                "279722900477706650631344829540827463633",
                "140843238963390683933572346708023602355",
                "28870846437170168435781750888413836136",
                "219481274570442906166203523743099847644",
                "229898648228086734587036429748184746384",
                "207164695373903051225100906439228919678",
                "179831949009912030315964027510804922343",
                "202428188352795089659823969462798434587",
                "190978385161457631347634690206801437858",
                "255231547280166786586772196028627967173",
                "19914948529694346206306615090069041713",
                "157765174138179259118253191365637348647",
                "14068093927508302141259448753172877854",
                "236460082423409792060837147935894568789",
                "111939149368177250909583501823628764610",
                "47941086720944336294752438394419379744",
                "83888626221289267900191906662209997084",
                "22606553473485475138242540111043625154",
                "246786217146666494553288699463690391903",
                "57407978689324982599493549972925607797",
                "278377130773038354111903577187281404477",
                "203909973007244902444402171299613462244",
                "200965570723622732535965337687613648050",
                "191509473616749960374232690533880903270",
                "245030531829969497782903140461485112799",
                "219638116538964495009772586056460429881",
                "90587038192270966764639606961203029840",
                "203057856996062547770308569246781462703",
                "278967540954623937674476919252284350999",
                "7018501761900156932968589415676705968",
                "256889501891569934692360910496817132366",
                "196355911978316416800946160758103781161",
                "23924542919314483951627511273500792583",
                "250732463780614830442312166061153039027",
                "50644817958428862485358753829098735638",
                "123991867723548236062717046793867916912",
                "232926581165077352718186006570533297801",
                "322674006483962711942591233651732024029",
                "6610617091056553749277125404720661647",
                "51412030235590680679669833227678882011",
                "140760571202648061196519524655323083954",
                "290078804642497299377415445107862251656",
                "58542477065268430238651753705284468886",
                "10629929465804534462747908419159237349",
                "6089968720663547881268352180069706145",
                "258783287145301687623404043972783909725",
                "212842688646207379028492247048945286533",
                "119646944952947117725954774804951476250",
                "132383570910839284493082650511175062556",
                "179332844273572001856801767276965000488",
                "199900850701816447886568652455202264049",
                "206817867282647730271681756686707341665",
                "260349900596680774407882563548706316916",
                "218753462022479041281925068854897182656",
                "249541961348002840159134847104023657900",
                "296739815590025409668621241264460135685",
                "195961663825186966798386637803137449135",
                "169440379360477123633078629620707332841",
                "64000859627071535061741697362278120341",
                "208693778615945726799513867946669408039",
                "116107268842193039193236531750000138839",
                "243275347664597426518238298273529562354",
                "298813357219068963642008618050244936005",
                "187120458336053131270775662063028401375",
                "39763984704379975262054157591048828786",
                "208576110326494337708160366477772552569",
                "251959357753183905864686052158554711826",
                "328868623527549435001012377742988679037",
                "324074007256651171263532925896355877687",
                "258589396977308663443886278519494568011",
                "125876724141869479134787199035551573953",
                "131544245499643810639156065890115685052",
                "103647180965606113537903591478987308026",
                "64289693380943018823847419523659691296",
                "230940093328819170724183781111179326324",
                "110257534334839432040911602045926365377",
                "159426351398657270084877516073844504141",
                "186005078303356396656392819331685204379",
                "29753481401358450949271742803571933770",
                "69879004938869296121558737446243637461",
                "180954547204277220293420275562194790845",
                "59905760787788748537811221044928174017",
                "293432130436040044584719532431490830395",
                "42311052215208489310504087070901229017",
                "222102827161461623863373307493245996537",
                "21822265857609215868708018139220025255",
                "42257053173199378433871276146453494396",
                "268794688581969535618556913836640324525",
                "78325343328003922970508405446923509499",
                "252781040734598024902650012375772450180",
                "84441720522473214747299982249374121731",
                "113447106017764294067072156042524816453",
                "304501106530057851678772971591893533777",
                "30996905712222442532969852440545565187",
                "2677304933177350398066129941357506868",
                "169034270258026341391665505009063867198",
                "209449372253726231864372520106223421649",
                "322955066929913548272528805715451052387",
                "6073909396119628279931154417283647398",
                "217773824548527060578135328593792828551",
                "90383660186679652454189207796011564865",
                "104620631592553292842524049794257210533",
                "201871341077720263838822198071680379781",
                "165511251193937228032933362009637636591",
                "272787482335786666760507603455785771971",
                "184109549195841695710331672847282462529",
                "206488626329688300087279077049570414079",
                "135819911023167418287738022008982980160",
                "113161191497107329462742140260984873720",
                "310436923191549703977012949947500804325",
                "98933122473928718398009351701580623780",
                "187523462772018314580511756704752896290",
                "97956529940443186004876147499816893246",
                "119081778848451274836108036990732369288",
                "26830140718693644162514507291413490145",
                "301110241590936257053358286587241090871",
                "94710166428289631287230511218246847321",
                "136564595379712999225423436865775277427",
                "112418984818013441332490814090155731380",
                "210599337170165933848748166349601247578",
                "275738259719941835267036822838182045686",
                "211796340953352997399712894554091304788",
                "159034480676191250857059181534350829969",
                "305868569152306247658096046003560858577",
                "86473700780001413983846091853869080633",
                "295070188657462460890775399800004648596",
                "213493333776526854132491388393655437623",
                "313155862480689009281471353440535441437",
                "321771553324529329700960275257525276948",
                "320004744792121958456579245881841324859",
                "204240055865993200578382229634660449583",
                "338054925985975748422171319141812913627",
                "207797482033772141265886139305141326623",
                "260760182725515815619921813205992494968",
                "182504971236943070348690474941401495438",
                "236366838181681132688092129603256941496",
                "212981605406369399802372065873299617377",
                "13619103602623492984471831044776069324",
                "11738620377090170098340550394378258515",
                "312803694267838336494075776962262583219",
                "67681038039720566956582836025721186853",
                "67663720482399026468316359423581011533",
                "120379007530945810093807154533950045964",
                "331490384936637753941402173939177684485",
                "339377180458078861141374429182186315629",
                "265109410425493785217484223099923673211",
                "131012197039842789545864432226353433882",
                "115394273742939090121514943992879636507",
                "272405459737605735136264268240381769484",
                "275282900403917049816187497678179589656",
                "273503745141311162456120802870009699968",
                "117731705705643744454826871845975975923",
                "109546659802673408649089945596742279085",
                "253769008135862617730758761858951623612",
                "59632145177666472340328985818208128719",
                "123031767930074505852181950413059557718",
                "109609003448451987749157754510311445969",
                "86003822047363410431877258230795004137",
                "143331543941548078459638510467518681846",
                "190554376754070323367538469110752226850",
                "128646311110875332101756413176922863626",
                "74319613951315278156260441628762661317",
                "307747489978073982150223324946718724847",
                "11758582395625441413203981315778900238",
                "111823626963231677730510062250503448738",
                "43902413587490931137393372212480626692",
                "862938191413788316413359560813351466",
                "43019530220087181736636181831230455567",
                "333131857788307740108585979718900657393",
                "96880970463355985969229625314099787118",
                "258429612976458610531544753742112575985",
                "154349030049686436457320958198755986484",
                "311867199474738561908320308075527942896",
                "162668338903760653011408936550667855036",
                "122534560019088845780232460474895572296",
                "283099102547068111093356674304041481795",
                "310777779895280696107003558270548352060",
                "211669664706678064044621397471352976939",
                "104616119592049240881540444898578929107",
                "91458745897309771615877993525932437671",
                "53811299636040572704754677952904164496",
                "86421066249178167152338553951162209922",
                "238182411111275057496883201647439691159",
                "71984544479801655355272347603975804521",
                "31700925979806845723616780245370195762",
                "26142746580781768004209092182282956428",
                "269830138425924838858033927932487135481",
                "193688885399710958039236311101898646431",
                "263874057709835589893400205828924732226",
                "217196700271907308341172164515591355348",
                "10688301303143664180480322598085827751",
                "223148808108949865411770942771744143563",
                "168456624747022082004768090110179667020",
                "143782329426173228188338486429371452082",
                "155070746048500748813921979305171224273",
                "77597110232438267928365452987050915937",
                "58872638841236384280779326227754907119",
                "37818086422790124560625208024888790539",
                "223804245794311401948012413773934036171",
                "168870896547695231818639969466424286170",
                "56340166476839716497013271560431720321",
                "13728941451577192307756008476163398852",
                "4909633774383776347109827426287272237",
                "331291660602276983108065146134319325038",
                "226930799177910620796740233808056303343",
                "86417821323261714045872278764329273815",
                "133799580300578044734410929779998030016",
                "107422574705279657212735131085909681000",
                "56545072118584625273633458480442115482",
                "186814149830672989620422315173059246517",
                "319962904324639828589742749024631926721",
                "237790354591337061848432681113256975342",
                "125754652336750357503056846249353015092",
                "296086216093641573516992980413875049154",
                "289427808554839154423329772450910192602",
                "246672451553040630214803395160633071521",
                "227894501201112641194886563889851435735",
                "327405802388620806980339475767241243934",
                "313822559916900745685217933300325357558",
                "179183173680357699894540651265753413649",
                "278099871483606357630103514897834735501",
                "69879900941503744352069847870771519444",
                "68853179862172681867960025163495168426",
                "35695825229226380598331576708062606355",
                "181595586899689553440622813042124937244",
                "127843739717810648925871673068974556478",
                "257548999956842057176113962019653385460",
                "228781654238846447948383047291972645392",
                "295240444187253963194355949524485291118",
                "272517033838438009661585498626598539512",
                "14490490159580114119809454495681669014",
                "207201638257017203487408838757015196010",
                "205022620731403398692178355015732135327",
                "249368744387178057351117565889089173809",
                "289799006109438902495178039459152769391",
                "301623026171058633096981418899693653434",
                "140728190907091214732409258774560454849",
                "340128467700794585094890974224154250688",
                "284448421551520946765672350775095269457",
                "97290116175214611928427523498942735007",
                "257058707365976523303522279405883960632",
                "267099925585893291208467367215550358503",
                "106248852051017319624025332164522947726",
                "235748289354182526064951584687805911363",
                "29358818187943163162747777406222765763",
                "102129046046417863606642797889479368271",
                "170224733589984080891083276146488819662",
                "275492438246855332737821149431908974868",
                "54737246659046562114520716567756277603",
                "196158415844970016823681649666379226185",
                "273011996418104413957725749434891577784",
                "173938285892299263420924601199314333409",
                "183006643057997371219763275550969715676",
                "257215353954352100369781385520482156986",
                "202425911529235488747363534376030128817",
                "226736727920471850513939340177299903506",
                "136827659849772446166557498215914658023",
                "241769296426732082242880366707302441166",
                "100623303293606415701507940042528103330",
                "315335567826524979025116735089183246959",
                "285844447967246191127711754709472053469",
                "45013740824456643251021213869369304216",
                "57195664003242835438349099858148422870",
                "9430995703219512917824073389664894437",
                "226840139252718299705388816984093139911",
                "193436892648277987002484022153904654497",
                "204564739536423184841045994462337574229",
                "21596999175852717533554390544346819211",
                "38340717548131915844991370071889044144",
                "26524901173224076418952198824232677211",
                "157164169249635955997003057133302871128",
                "71186117321252712780837806950470396985",
                "129372106527064462869696325534217871103",
                "270217893613848520400212055414348944530",
                "250143298283005691783394731655114557158",
                "132749617446537412583978052246897111928",
                "102178340604549434679920551679090793513",
                "168178878104662725764847448026677581249",
                "75768156760354547396597273373724652705",
                "226414034590183058771673565645813077031",
                "140058861524878603126606171714238508049",
                "156215369349542199191498237108606695361",
                "256710798283498772882737623282477226192",
                "105708719992081093447413730573561256037",
                "33982534551805009454836406182873499564",
                "145072204707219254152164140395820957800",
                "311891839556831885095565427425014823562",
                "291154277215118405483842369534213535799",
                "219317950199530407717748757496932041184",
                "256072979276605644597419285133492150443",
                "195493071447149874583259693041015479982",
                "301293421092728370070098391130663935986",
                "13393614079937787916888669248237361950",
                "295430000714192606400378564351298664333",
                "126926258311039252669722656424240059923",
                "328320097496536365349362767779459568196",
                "23716460602033434469923083993906969464",
                "18414700397354362038584608898468720626",
                "273317350760251459484504782824900090672",
                "272950488487517666553046808767582911044",
                "215002100261358662888952794087167364016",
                "47174983784390932341082688105177731062",
                "60374515640716573828013871952905285511",
                "95982832181633742422114396120578347938",
                "106852782985486304758125816426536343434",
                "54962717449087335378959722058192237889",
                "194251972093602445465846422494609503894",
                "118751473058077370839946367275732415239",
                "143157100011380256149912208667379210418",
                "251753477957210598292128001262170342724",
                "207571592263962233317416239759308964274",
                "92185938890078626767566128876383329404",
                "134706636281432313249962958852578178460",
                "37338471458669468994936641931485532710",
                "318874811873300824362342841153973731124",
                "238224984641397091718379850130427018418",
                "37799818779439737697592471970325723617",
                "239564181901102489031171472325177713618",
                "288993611118198999097324987973718940504",
                "16145787002493407617149585093741255912",
                "107449588419646619384208103414552189867",
                "202610123753982376282934922552349816567",
                "214306772730164631817478927710793202065",
                "269009841724771561138625294765053512545",
                "313381502930481047192702380322428427593",
                "304034122450852123496577448594717207994",
                "314825739769469089383819597732797807636",
                "258884211843354848808709370994850262704",
                "286413193650999236349957955304186097504",
                "40820740362216237665126468348117431671",
                "311504480303647420049508357523903474551",
                "17254852750392398372059208858366806640",
                "293122900161563227225055802831602059991",
                "76690662706646922359947799420973566945",
                "314212331838682417607962504721049016445",
                "331544786469617649175193264215022405442",
                "271749793303135062807885644973358362519",
                "291635238346778168271342369140606551337",
                "300868747024895164572383060470338948030",
                "9551397909862037804832013803653266847",
                "94731130089928967341488074950561107106",
                "143945100036355921579450613826217201160",
                "125111034047238420594755562125767574069",
                "216870379563091434848795475155249864600",
                "19512871231218994829384488765177274500",
                "244536877510283055215741084209986434706",
                "152584484629663518607228382399884375801",
                "258631615734422686584882902157532494555",
                "66780549267023765580593052088903176936",
                "26500541212422863002928571159275623205",
                "205009138775221562306439378210165480984",
                "94703120014016880797345253519380482065",
                "32603786651668502739848240841566183749",
                "117224485734316555447662141662320441376",
                "63870297117155327206161987720539179482",
                "21024227025277598737026647587418737864",
                "288084643609529796632988756672740633263",
                "256331941670373761913125512940471550257",
                "169586156549784950720784171051942868893",
                "301738542451800381159093858224568485141",
                "96747370175390805297483262224127763772",
                "41015138152737444526036663401451876091",
                "334998778358989043966911485357194017934",
                "204571969790959991832583312860272861550",
                "135270398510394399479536022148540788055",
                "173251703821506824745751630572846652516",
                "18230754744701419058638025400436199094",
                "152449299185053125776215444148317279169",
                "287827519553028916028677625465687687448",
                "124060530698833889565724692832712342126",
                "221901104647413365246810805069445857074",
                "52362414581448749129127765593337924399",
                "282650559086947423376703690125183887540",
                "43516844442668341470079590219594590410",
                "86701456552339168005695834214560890870",
                "67085478451685589481322557143635872042",
                "314142653537055152687601572236228326824",
                "44177224072227656269573295309058341745",
                "207246143442277226914976697637849834903",
                "276280860739727451019763255472776797585",
                "316040176913670346799332802176249193646",
                "331880629172895879659815084759312297482",
                "293576997775268172870361966178968229844",
                "236601250473796737389431829563356025411",
                "160562124885508857318848703797485337005",
                "176820056449304958932395277358560009424",
                "132986398101538178679763075143042395061",
                "265519249113098770822736241307096893436",
                "162013185919806735297751314592197807470",
                "258159898644420807634998079434070531089",
                "138538535056216440235139008839164551268",
                "193370362245720802941648277398539081816",
                "337416869728443728439007375823301887873",
                "218949753487749188557363363013359336191",
                "334948837332297066103798389649242726715",
                "4445155649519795625844284779888876284",
                "35284605088835349836268889123751503118",
                "72044204430034775369301020244815154124",
                "107337871523842149826041653926251621322",
                "74787614869085431598087891075771693546",
                "261993714015396009504592060119741079694",
                "199386713962549683339555784316954644230",
                "68814443670984719841893937054285790914",
                "57042348679903227096474581087845685605",
                "313442243497798306319422669951175511216",
                "314828733843162271965021412872540924100",
                "205635919670174680551666927051114930618",
                "278792710258993997314097547915785928358",
                "17361442578723772447403779725324848804",
                "51798218634585920688533201073479489583",
                "255612539468899081110087129343250000108",
                "30411183225784195693888239307553564822",
                "55516886633301232087421520133086614188",
                "153941928317171937803504359435237157489",
                "127301391337605040484987128968030467334",
                "71876615832546465120496922887938317419",
                "327598071463003942489473613391950646892",
                "312809209442242667440384831283714733867",
                "78119367135054534910439168873010383010",
                "195688381058826578958728478298635724878",
                "72384806100419425841225028553683357669",
                "220681001639621267536660014960720581366",
                "30225683640425994452780123811053800743",
                "146061089047399014208590646412238162573",
                "337442429371654700903123745699844070212",
                "50992747231267986419767568248131694461",
                "103541822571445862581310832857108856512",
                "325261531255710377067631976959755858612",
                "92911411101908533504419639791106429060",
                "157186431878784109411042371285035837816",
                "39984732653851545301085839076487593446",
                "191346609946482635545295030062996873941",
                "152498039309892475536108419237483178525",
                "250269338154358065355572951798303359596",
                "211273924795590117341985553258274216023",
                "260853880589794001538232664147871408987",
                "277546393791301434223337421121394172891",
                "271919102506274821097678743231174963184",
                "35873847895059755906608064583453779477",
                "294287945289166226651544558032552837044",
                "207345785241252850004194632391188523132",
                "58833093782292398565915078610285090003",
                "54263953428838397520006934973530198955",
                "49238313921996084345497791190874579609",
                "339845762520931952518596147503687498678",
                "37205447747172932703347818926280485469",
                "268072068136721712589792610797955455855",
                "59230549561600860503123884520625076499",
                "172138905771189902768020982893044956498",
                "219481391928048820108162300678062204109",
                "73909557691656622231757497706520014660",
                "130197212701853559530043816715201326926",
                "22052777170646073440419576535631115924",
                "322174767228057761672725141525807698363",
                "172396651239785813450163352433688185765",
                "172173223738833693069800328034309463575",
                "221441764128341073461210578144790191367",
                "97933810904754144185414283674897557512",
                "190541124412698871239608037953724191492",
                "512651834756242551859524277550606064",
                "244225037559352658328208786765869858163",
                "340223461802783955424707327371950506916",
                "80089207261077495399000318435232883933",
                "158655140633552017907082004240851395705",
                "251356002763784902195811183166107497718",
                "61188606078134424757636260788496583311",
                "222639907869943720227225428411278959460",
                "219203378207283707700620827424184009619",
                "100336655775028698575414899103309393485",
                "335536378159553390259781689833608321597",
                "310692966295721849737853045296898286488",
                "289430836306199210208043665181132315241",
                "287278895211765052860189215489814369766",
                "231158726734590104020169261437892661476",
                "254627110989836761762980440653387028835",
                "331782402053060544450585258909675343583",
                "100523955351537562659596637413037395581",
                "301742653968527207363523895219461669809",
                "181311978673676423041742031440913073288",
                "338872798483034036190062346138162069168",
                "222891144329773558099947392137032973869",
                "90335789643153855999554948057443986166",
                "205146649415738733929351839322944036309",
                "213419110975465103835996970162610653858",
                "116856145604567524154229773955381673891",
                "213196130187194021258071818449814443236",
                "331783284918576335248111390218916951077",
                "260594184362872844237440948379415909734",
                "155266486021376680489381609883810023026",
                "207392753429094380841014713629569974466",
                "59960921979355068217485009214676709067",
                "151667323157321610173305001852154170518",
                "83688020238398199366003056282772309811",
                "269184930762523674565491690782499492989",
                "192604451073088023730205894405330774086",
                "318880279772749257186585319159987195602",
                "129499127395873404571654144950527504582",
                "320228833283482029535737779100435991448",
                "118075096813144150689223320558154626824",
                "201508790166388260697952870436990213287",
                "121200837225328301513497093655367431517",
                "311956201912095479950589001912882086624",
                "168934797505232045969032501112249967241",
                "98780796982798756998856072096124025694",
                "185470473188115876445586225850535254502",
                "25466991454814655226458296145844643911",
                "132816315702556984449378666455765558239",
                "69931122474662052125119063133328778041",
                "158204859040451258434820896566667145614",
                "239455929675496837126678715017881321558",
                "109689060646607411956257006468050428534",
                "339900563350703805933609959394340576034",
                "338071236162682423655809843989489209469",
                "315436115440238178626168335466658518267",
                "65235366468095187540879028721470651599",
                "291506775223847195461376033673985775137",
                "37627235862413631656896166388188718222",
                "298204872130372423403453118694155746586",
                "291412894377430568007840238127206168128",
                "118503137406582636851938993924296813741",
                "313304763096334865234703994353822254758",
                "138361296344680261769726441631451648338",
                "106636718383722585954854284027427168744",
                "251976187044184881035000885479395245119",
                "164516132060387572188734462562708984822",
                "135309221677343813400165043156203940648",
                "49343944730671494604208240134212146186",
                "280272619375896671605522269394039738083",
                "285508766104147605284456851296232660189",
                "109536210407873165040634297900669579330",
                "209693290378484019981243717926356202003",
                "328372347039575808671368276633226506168",
                "136369175562278546014065215369517133267",
                "250554735566447732027272488272243297505",
                "150527542746041330090421553869945881509",
                "174680606448559173409579911915188122774",
                "124724242256391841134951284651238829884",
                "233653766928111495507074737168897935611",
                "78309598454148981696577260238653764227",
                "184670736414546458700379825149956001836",
                "48282666378432144735369763080510261206",
                "114299780895666828940380876757216522515",
                "147467050658073458391325735894954255614",
                "74463687424974536484245694924600823745",
                "68634156197267042348415072669091017516",
                "293131298342808574752415619708611501337",
                "286647136701743256289338045808030060142",
                "332589760241226376471552041348574644577",
                "65954445903188113234258981470772844117",
                "144945118550998301072615536711741199149",
                "62791447312831719018629543710343844900",
                "132140379788922267773145022478201735508",
                "199760381761420865341771581851663359818",
                "84292304414155012853496032808074223494",
                "55644655135437943389516981196052662273",
                "127996416976458409533371852518243976118",
                "228384764105007376887932007326034577512",
                "42043179544707400929850241193584428237",
                "69789343988533019140895893549797176178",
                "24775952271330293343962425264541891016",
                "150367671339402749113508161902601441384",
                "252000580351498189096071249986822158114",
                "313673353420367774446527151539327078463",
                "141828936765460168488966855947567470606",
                "29431170222455655653887523394072201518",
                "223673084444472699860979570821385014161",
                "311612179094858602084219042585984146709",
                "291987527745239561949496612796839954965",
                "126701811268471704490813374494622345461",
                "302561983938460012095091896470259972164",
                "173535951728672712581997742635528225411",
                "140077167589399855351377298996472604936",
                "130576036867339343458016091387895421338",
                "187252668189928094443374197035289327913",
                "85662544043922596491531896766474244001",
                "267426907437100083978797757095938310270",
                "262186619550579668399664808877159071015",
                "314643623172776327010895631512687418509",
                "97356683866005682287388864079403221520",
                "316536361015962113758518408163718998119",
                "332799009585833173512051941734012093042",
                "339533670774371924547663522811965114956",
                "179213704850346909886838968202100013162",
                "72941264059755010938189814687953974030",
                "113182367169799734860740654676246918883",
                "95147781816237747829190961094456011127",
                "32383807663650433818754999886734686516",
                "97117828141489780851304107122504878424",
                "101165337101434648565700604798720208984",
                "312551000555442221578637471149582317976",
                "22037288882409534961126911064681927087",
                "118684829983069692545574643042382619368",
                "324469280497761780134425283203456842446",
                "331971849643592518635563089143691823463",
                "302319453515651987344787304156038472034",
                "340170515034300247695280282947199566777",
                "222250425761976982991470493874309305700",
                "13158012168068305603670046044995788973",
                "2511559914393028701607199822281572449",
                "20337649904836302857788065675885122492",
                "320700252255269766735533503518428406101",
                "148269842322574272618478689213398875570",
                "64890711134219039266141625578215596421",
                "143144116741696371772528360006978976160",
                "180106488899392847372142818205467347977",
                "96564138349831094955727689402341820410",
                "14417960456771980077124911797937046552",
                "291280406559865660318430364248574470863",
                "242008862411130363912346972757699356708",
                "307203869393651445240915963985053091866",
                "152563735831767280114339868910965857372",
                "73478727834429104535035204405993737520",
                "171205818206227464736927250306391373407",
                "16596447293602629939877406111956326094",
                "40300359162595544512072779108219287744",
                "321291235241042530235547305692429975788",
                "161385846630972778176767335390245601110",
                "282265477295014479235305914295677347739",
                "172825036450712233704926463060237044686",
                "31308802770379316939573520199391643865",
                "339919481216857079211207294312774538667",
                "121178836205922635902202614357066876467",
                "222617605825326293383017930419756643698",
                "98918485777450119210847140881300971138",
                "16138568828724270644745790868125274797",
                "299706151109464879738721054981334947700",
                "88105798835249723154898389938156135934",
                "3922023611032489343686776981482842038",
                "184797416259245981669982730324360974027",
                "287609452283233427494517865286769922787",
                "170143129562319424415481397603889618288",
                "179998764014539278657742464775450214741",
                "52716584902519048903562847586881052881",
                "232853080073597903024161857338063157582",
                "147475604773802129325419378317565237126",
                "167190304113980538322429745562081560358",
                "62374519902065611658335652990938476408",
                "337399146579987511149918978760576264222",
                "139853655846787009467634320817291809721",
                "132344806176808740030693136954466795781",
                "198701957613727111876529212510588032806",
                "155837430687654481483618792322125734602",
                "217594074989530207984761892064841528518",
                "261110932855603173685104229845954461134",
                "38137285934951550336955893771303877485",
                "112353793345497786597508972164800916155",
                "242453359766862267298576439448669341055",
                "111369007624621177253878904621314458131",
                "196969576634668573207358432396400351048",
                "231489432068501319097846825569595715051",
                "203941311588368724780348114043462613964",
                "123084518723917550194257824245694977842",
                "88335763681472890809169771013271087506",
                "203649357859883509055101554381560773119",
                "283282278946512650729853433353802322876",
                "236775597660398892524004629170625967494",
                "278460665701526814300311769378493526417",
                "197519357160269266649285665288645587466",
                "16361623507369515130146900752607738042",
                "25844889008241086782160163699104862920",
                "62114064739942791380917089159440585210",
                "304142528049610516794362027547742555897",
                "235067441016388151012318699590914162843",
                "181694554110663214505911774763250091332",
                "196685637622607787879762094768226905188",
                "32576710257087949875745794702517357463",
                "93932679824473843142106933701663855723",
                "272347353567558149333259715367033447205",
                "207461843786435992499731630226619805812",
                "49121853980325791159302515831526975342",
                "59651529818097766700863528555485254364",
                "331711083125626238114225029811972321362",
                "50768578057451680413374685208836509687",
                "273242863152981297834663670654309919604",
                "269233197515219459449948811969998035985",
                "119261330674178297802015245265100313587",
                "10583917949766517509927755417912954418",
                "280244507126958360478715962763978571643",
                "249044316442326310757195725018478719436",
                "237623153593461213270718004638902460965",
                "314513206356465377993617127167753747524",
                "52716996304365043259684981297049937007",
                "70710384119700469882667000838020832297",
                "221140153305574298936140967335679758594",
                "301180769012980824478020835097821564591",
                "26375966756712478360654316848206092144",
                "205856682683131501765367303496635109690",
                "103624775728179912065698062903258907618",
                "207646045797134876224680664583798597724",
                "35614891086281467132454956770445924511",
                "263976730986728353393080008990534496679",
                "338608165889749557559435206590173903012",
                "150900082956090101863341759266364901686",
                "149982068909290118722114843637407522317",
                "280120604093132280948357808673089604942",
                "289139303286291813836071772480953328452",
                "183382923755762806280242592706534311797",
                "67069786122918022416673584984914899429",
                "254080942676500087481293454090238213553",
                "150681334044347826528224319463297392622",
                "4847263356540812020327598692946654756",
                "275285212767644849492858225115715926580",
                "99317132654213466629651751604817059201",
                "33479123843042637345232587276598390133",
                "261024691783931070155068199617853845869",
                "99207412461361360902340992095585114729",
                "244084603930486734478731067305669057360",
                "115657845494624108617616372735734806771",
                "205408485232348279218558309895021000618",
                "25976915852519832429536401628544803323",
                "96704519236937375987204665791395499103",
                "151489536866123214487965208764007433064",
                "55006816559708109457327194753229348428",
                "27579678886168137227932508480101420094",
                "310742955066823649577645733731399312126",
                "131050122203993475041744249065536519038",
                "303414228439005269277675694453500634550",
                "176862640786284782920893605627671357143",
                "259069372011019261959842407455153290329",
                "67359384911185082711426962783035983084",
                "16442080977438334629351521473270086989",
                "112619032481766156545894202307743694722",
                "130070317891783343128153037897233206040",
                "15819664133192487645961476585430794224",
                "66447226435282689613008606547848363963",
                "339912428389228633830528749857938685197",
                "241826171228540488325622542330662067301",
                "285710147536038957951132176842847090866",
                "64522450411146827086462434183437644186",
                "193527123568051820677779728263379606697",
                "166291607314558009912817829569059464637",
                "217343029688356176058994433142850266954",
                "290373774786228241788627259130640990780",
                "182792553472833251449452496934694116647",
                "188851551945226782041996438140399106893",
                "3502021916481872517839691536340915456",
                "109249786848527507694269599323940387037",
                "318503869287064269791886490962020838715",
                "127514234386403974717937096330101931970",
                "182600249598711062970447907586548925155",
                "180165442114311760979656034026196745059",
                "143904914152450594987705233936037270285",
                "339071423478142956923184529594412591410",
                "29479032274153733119135293441228320708",
                "197314536524069882517264012900759017976",
                "142713211654308441518636127716385431122",
                "288573164849976919664394572843144371365",
                "278489902597742040596222357485887059371",
                "334005516989731580586188430360852749348",
                "14760183384411419692120028617220015613",
                "82910462946622570289712612145750006418",
                "53780971309250266155886613714030582212",
                "124805880321674453785400269280310131413",
                "261109106917105935410436094039078634062",
                "66849518575148539507320240598311320120",
                "55969845814290044068087903140096735297",
                "293938725310596199416637637603610187185",
                "232764452244879123179847256254110122718",
                "163433701378735349531148976653217415284",
                "119492046797692149896348351545738383038",
                "238940194822410992985849033569020994055",
                "125926309694919773329084922475096453805",
                "11417801607711927835273076037771443050",
                "311059834858671383266911633556764303390",
                "293355237672205979312617707264612704177",
                "104145368883670236267454021577030952449",
                "66711132715193028252751327259610795927",
                "117004894923793430855887902709328030331",
                "194698729354844425879013195019170522668",
                "183629603701773478965649795550072773163",
                "271723065545997033624456549052801531983",
                "307550155818658135219795596538806572136",
                "146122753095793844771477649280483710187",
                "170504137075550568271795829351986993197",
                "169402794964835076374188349021333038628",
                "718684028137916153109034822286967386",
                "287443493439243656618260100728626200885",
                "270045359366186464755679686410015771725",
                "213076243078483596014613492918813650887",
                "65642955387336406099036732333543091860",
                "110772011011783087367569459517590884658",
                "317136571170062577846876536910013745154",
                "208313198370315665384598856511758233807",
                "331727903583493492146207994820067560624",
                "285071301005359251759041672049581069124",
                "237694251212698684665393521876996436297",
                "252684532076851653618643144274736143697",
                "56656420650218706198435875652018520453",
                "253712970602162391712580812191644026469",
                "294963590292208249051333230193667504983",
                "77477310914491798593552641549482809575",
                "258441126648349588086307941590456828271",
                "107190046335470417277039887550938925459",
                "44530198165319986110572948697575543121",
                "273029703912236128257426884483198248184",
                "143496161794268265850981713843937744012",
                "33004252051219060100972779902338545197",
                "287991852653086810306302418072811078279",
                "182194414736494468313775124923342601416",
                "135596745013278797323241197003494674156",
                "192584783682749299550185982653719833984",
                "234522221062293316223520049905289603323",
                "2709286169515603521365102382980244389",
                "236004368535799883942102888067076505910",
                "16659645850901547434766475459102298751",
                "191560605196755255963987190541503388191",
                "116057618471415074903941900201418518937",
                "92044239155638965701327933963661309180",
                "231153481257767373039193544271706875721",
                "180798467648407684857762735825027037623",
                "168953353550565453327294740128077978647",
                "56044640714907985266445844326079731182",
                "64632379231570223994808614285797713433",
                "235736298230245173332018360373544066222",
                "217541840570625973252067853848815006709",
                "338817913554395109442577388182652456772",
                "138508812308125203987002631565418502653",
                "151993042870302822939618716010588555818",
                "293017850851102905186960917898087977813",
                "141291833349040131594854605981010421083",
                "256684960896971372620367736285721420353",
                "329525198929242705022470175973595990586",
                "229534055125835765853587774291414088682",
                "228333968353830757117205868944233595057",
                "291229062440254336568640390669388528796",
                "38859462742136635866881515123727554402",
                "147586032828116780429612938635106049771",
                "86029565423319168220051031093997564411",
                "144907938343103187103815878756596511858",
                "162942736199358921894284812322852231382",
                "57675836240193379110261528966352021957",
                "289414592396494603978519954845531105194",
                "278855967374925873953342409936351282541",
                "182294689169391738003968809600992235618",
                "222906024911494931851265344801118058048",
                "174414687093814232827349182355437318747",
                "27862776528591290355314935723127808806",
                "262238954295325619180131283853512592691",
                "230442246802758383780216361121977721854",
                "231762455573049434539571433604481070797",
                "290340563377781192886411218740943121149",
                "285324200040305034990293666977143475625",
                "168016230381571655934388587166926392131",
                "127045314869626133683171034222816151912",
                "189108507259305392432949297455427711224",
                "200246948770812839036363873560429781553",
                "262315061580065628496817200275622749381",
                "201468825411910957825348497936226368339",
                "4966979706585321037646531337779152616",
                "232837685289595231171790701504552380601",
                "195513919612910858490390848841360082998",
                "20292274152327759724180878635841027668",
                "20440935130198702555158306099467571314",
                "193447324003644667311044967062715323509",
                "312451292213982475627543231418538746208",
                "236131681904172070350348236631719175523",
                "210574691543663009790903775454496192405",
                "273280261096379911423931362539650766889",
                "51915631557653692565876306318345059476",
                "282831001573110412299174416429401164737",
                "59787634672216694807349529189805741381",
                "50838090090293786898867408357860505950",
                "133904123115178876968889301729907699713",
                "74557248145555841940167379497639430405",
                "301308796915432904346579909214064491444",
                "237617075051698852080903866093052802708",
                "68468279888738859576576814002390232066",
                "245207468642976745777103459233723063427",
                "141718468973843199656196022178479908448",
                "191652616337734314690474213322120783052",
                "276902367831591646042787035743436906618",
                "181247678246335151061998780954406455667",
                "18023161021937477387577627397728618204",
                "294982554226821650988431001938555864572",
                "300049305167758587867633083057996219853",
                "7394750508246079102706671547185325412",
                "44552100412978517949092939923404526335",
                "49400348234999458972221384531681097344",
                "235970906962172585306334623227813880196",
                "54616628132525681658033463035962679546",
                "216876864934184571173265692441514158401",
                "59154038899940542055223909749744474014",
                "234543510871017697228484932558934557021",
                "199327823980107440766144978548188391009",
                "31663680348728580632515756636358684737",
                "82224716893187717384267135938664561873",
                "223476601746849988514081830702004805518",
                "195504688481467103604109871107302671015",
                "46747495795958736437243415671766647361",
                "246819911228276079833406874308255285069",
                "171942277684152070673194484217071203776",
                "237596809425072516566169627542188100278",
                "11416514646629567871421486871284947970",
                "69546261820676960906465075438064269579",
                "200563999502752765017340372619983004815",
                "55614835660644405756868668147140738917",
                "209751407259760430867018134760909929783",
                "71733357279713787734924281545821656234",
                "38896229436874645536977039810786596786",
                "112480603357896086894048658266573961949",
                "228497755589850659658245976623492556033",
                "134180941127990411287940728901069796861",
                "188469362372945225992724322781065020057",
                "214824236321299391144450536124860437429",
                "40183184779700205489095032931048377275",
                "199128676204385044522009515697457124779",
                "57410264618873653499000438058463040698",
                "302891399961161322380977153296820517983",
                "330850775875443721808340011039522559099",
                "198351102158264312192540068101842986352",
                "198926169931574882622658337693485600238",
                "123526839198628396194514720749969069221",
                "121133909828746626320933470533495423395",
                "159201219503852986584736230511935052506",
                "129518379917487861552961563173694309936",
                "258065051600264739153388307973908739286",
                "324206729778425262214176904804051364880",
                "23526718728929304686261320946799028440",
                "3062262001462199391862433213443162103",
                "62839819075527471123501586376379730629",
                "166604524772411402909653738968678681515",
                "286520739197596053861970501822574878352",
                "33900944757456463559406855067376826891",
                "47348744225921799711880908537498975579",
                "77725662298612753107457417840169082952",
                "128155613973866817841742642931367998581",
                "30407181441578753242008576739999476692",
                "153520880693479361696967338241054227676",
                "186622047541431546319822811995721607004",
                "218034477868972700906511125322155659528",
                "177571453178824333896652586385479542936",
                "128178107447342051807225686347195355218",
                "108249303431748600269003430308302816982",
                "139860976426345641710883925976960206602",
                "27022349650717809591511524308816978883",
                "162937544364994607965275010191549420602",
                "90689568225710715994046467870056148314",
                "311942511553174553861194701391492740355",
                "319561971806353083707408198328539419936",
                "18524955218673343984918913921179324223",
                "335481391808707979278622123193959939919",
                "51664037614452913528059745960104233677",
                "134174393790572284163028232363907565856",
                "327092339665339754301325128385700184201",
                "110543144561902749193446506141154587829",
                "179658588353564029021501243645264013631",
                "93769938051496303859376218459054830252",
                "296133832769587973148854320804646960402",
                "137205885365089097295675069507653888289",
                "170932190942496519164896441222736108747",
                "232147266433695187081782096661564049173",
                "92926879683109808913581350709549110879",
                "150725243129433569533326773958042579539",
                "15972950617382800704711356082316428810",
                "192695003146816581777153441041885877412",
                "21623761182610011370824771368509344236",
                "288071613603159285704107693132919362621",
                "285950336506910686145768802471766751712",
                "125255826648305926407045396273092819112",
                "234626567242455788988548565665307113727",
                "216062965660690745525670160810364066417",
                "327990806885096584063223896310922275735",
                "335138459991939138128885967106195174671",
                "42447961265654037124013382779012289082",
                "311842513671515510990433239407445991584",
                "251482341265697077475550949787498388931",
                "167036083270756706032822394899593829809",
                "225588019874223555130450992864929766298",
                "53031083986413321087601421717105672335",
                "275984433956252990961333508956107625694",
                "195448049142834176841401014952937479290",
                "181257601975437437011049413730889232659",
                "102934882464056072452406101018892179199",
                "231954642979700287802434150248026312149",
                "118713355694574386844253166883216959461",
                "121617179652812977806673426018574263102",
                "242698000995283660771312649942544458715",
                "76115496733072063082080238875235238558",
                "159789604958981536719399688668505774438",
                "42583214233559738281467221625129814555",
                "210069188948565418455613792153565507561",
                "299225633280962813758709645008264732621",
                "298619382534634470705435804906874021566",
                "117485839072280956269839182599081290684",
                "336531318072770250820467748622976099412",
                "306977545125382634527228796255800045727",
                "325822080525305483196894913004441504022",
                "132140892773133065692543705878092707526",
                "319312910669601741553706117283575335572",
                "79083878558112232262156900791981282381",
                "180206108083862294444213911842607591625",
                "170399657246036747436477546076406900820",
                "165732384805029030631170164013746549509",
                "122550263086367810472276603209584843666",
                "225204839918983686290183412841161142614",
                "305165941029571662556099800772035247037",
                "254670582337123298608715564280917692632",
                "328121393092659043542693162813388353857",
                "212991636792672892586497988456351061008",
                "147380129782758756068324966908454688927",
                "295922940582281506824385919574125857297",
                "210141447558009888592301626504496377468",
                "12422759771292237374658698087539527542",
                "339519183606191187695820101133617647546",
                "281655954389789868249108257313265935235",
                "94444819566836910703755940644975514409",
                "4175419674063254351975055332577597135",
                "62703251757657548649836814339462044358",
                "254462210183490435664351379498977985138",
                "38397181100441455591286552657629773185",
                "148653066485263891919113805323965281852",
                "327849380457011765773973446945903375256",
                "205882671495657990076517585970401911865",
                "263677950233466006847524510508980169560",
                "24384945556345528214556428840231149784",
                "80398045758786427985177246395291957725",
                "107542745279754948906025890693012103201",
                "222450725008220535122695240969872218162",
                "228303344320950045821780236336343162874",
                "86272171861647277275260782929413779015",
                "323435714847139062138987156614253234525",
                "334289219856205075002714964271298486310",
                "102699281962329197424672273037072478048",
                "104679163542504416494298349521041042710",
                "197755516940244750834592808911078976275",
                "233346948321845551729158029539483237634",
                "17035642777344181510276805711504053268",
                "210282675657645954587597309739628101078",
                "251989590288839869883976015014768732114",
                "142862679218694744065088326319586403339",
                "339198515167037835236902362420178006097",
                "197585986407879637700281698643414216401",
                "34890125756143805177987444402006970321",
                "312393586523778840746888834464059117308",
                "8550885048966728688704643836217282734",
                "314859903425059060078658541735354926670",
                "310745303943428530894354011325279604334",
                "196184707960839466912742538016840680198",
                "88088505656861168285121001849733426028",
                "108442846590169108175215021777975312496",
                "174438108777356815343476888061404939305",
                "215622820799413306282523235817625409320",
                "79307871913037557127638798685777434662",
                "296296386661942686509831116747183759889",
                "52683070300723117027399739567267222973",
                "58994912903867427913713182674154403845",
                "116197758419622896627288100445155819727",
                "271710101210922206412211817341899587448",
                "56596507998740823229270632229069226049",
                "112409174384218521438247369646128131001",
                "202994651023114449202179857119041127084",
                "195117593420072101996491402031937810430",
                "213738124605464233172804718051843112846",
                "332664362099649964276945378536346745093",
                "77932039793054100111046575800258018658",
                "18802063232578996056084135678040458924",
                "338506177482832609558097306862164873377",
                "87205110322005517091242099758690708730",
                "43901201676096755221055152728466650826",
                "165733816333540782288928373190666297089",
                "134260704971498183305085133714594529809",
                "299977926345612795222008897215046965481",
                "51754280822172633288806860314270988591",
                "244093271175031142044711298820656252107",
                "75126759036185903911755422730459435443",
                "214721390779723677009011231523931128974",
                "290506551931271250565112998739313546839",
                "236172377092235080015127547911316751630",
                "272919827846773638077086795989205858671",
                "89543060829500728816229008584703527825",
                "69661991038818877830546366701341397426",
                "270651403749755657350133638835232395748",
                "156235186236760866277221065748680376294",
                "171152407638650342201766277690360471930",
                "151218251897470137062296048729471603601",
                "307674631102720455827628171616824629558",
                "123752551407460410935863235929647818477",
                "74212713246871257231142723599355387483",
                "215060986541047248157935797250290566974",
                "305464457755812020585659893782890666786",
                "223561355285165177638185437012687155194",
                "232044506598152820267441041003872139032",
                "39674291398529695947980689512130049991",
                "177750496403520500098116686443158540581",
                "184953854980585628503313537542085336589",
                "299937373914287562285450950329216326418",
                "223317295891972333420537075879086239748",
                "239709989875691871264835202846703995279",
                "180244716053000323950363804214429124329",
                "229683332822843419628241588069546809027",
                "105087400609371247237145367965108826149",
                "159416184293684601851729127925676762174",
                "58851487862829947085322757318529947247",
                "127187375364840598425961344324484680313",
                "96897377609719638358658955743825759047",
                "316938128736253571249246500096940786568",
                "208928630696426811731346764809286572270",
                "164913988010747990488876643208473311620",
                "141417112182980870470354431708608015407",
                "311421054143454262667621167781087506490",
                "229027133931356425635382359724425308662",
                "224889978583452635004077147562656444039",
                "124609025221178483655545747899185524880",
                "174760452216014628044530430759590734218",
                "297614732387811125526570266435394277295",
                "170476461426263687457975724442539741046",
                "286601666899098278635856659064443936470",
                "314175955314457227189660681287472164284",
                "60744322014875835390957285561861113070",
                "113185022177382353715398825689287589889",
                "257610061500663586308623378856971284005",
                "294055452890638407972945848975708587547",
                "336331280525657968773668338623215153471",
                "72681306364675977261501526811453405249",
                "252008425185230921262713327205823314810",
                "173815413269273321993268262950246081431",
                "295422328232025251652276075317754488765",
                "248006399517149031264170994311210675544",
                "20445539356061702707732080020056716565",
                "61078403583028971031584340541517622852",
                "41966826961213087940620787373749995783",
                "332677435451227577801106406556671353271",
                "115896836823734419011644057006376549120",
                "48595360227344223531444887960029945028",
                "13446262315429286639846259304332514042",
                "37103046224258290311248221406424284870",
                "222223390981940570507174950384945545393",
                "25263273694394544128188269768398451925",
                "294903927752114737259930592979980450254",
                "312330576067669959345380697096185987067",
                "263628452857240990888394893284356658680",
                "174587873423443797871043780322612105197",
                "51787461126482884627838687546843425060",
                "139161594639051830802565624302645658606",
                "70567428159833388304989047405764944737",
                "149900087752008681301738223909189961138",
                "172326132939611790298691069343488024115",
                "260751476052084609824113799477223260663",
                "31577604244192137975068052277989632048",
                "206847420971783917532368217140512579468",
                "200953821725759380508852235345834982834",
                "115037249916574004600870090994876914524",
                "336858712491943312143571955308585693452",
                "73461761778948294922842663786835412299",
                "181110336454222667775992970402061755321",
                "15045710894856409462384155974667350340",
                "134658848624069153309811018485349216746",
                "290245925157321951960215858399774715928",
                "219071772139186196022679959035273768282",
                "327496849795054717619606556715147253827",
                "53165962520239794837424118792406696671",
                "179667577085490082403103216258563381873",
                "109743433236829105874641221332957331396",
                "205249722105393137365997481351225425254",
                "14357658017728894243433464814130900552",
                "7391773158570198760071368349616637532",
                "216970086349208952780283237266058688885",
                "139233594961232917823386294402033177063",
                "256015404648673218996242446904978612589",
                "152685883141105838042553228611411447778",
                "276251860569348920837678164188067937673",
                "127326635560290233750592533442015087397",
                "313480298725684376622937376983257455267",
                "101377326088260755208701031929403260877",
                "250848575412283555316072645179251012894",
                "26970108885592971579266357451054881870",
                "316233525739482987720680446819718304819",
                "160824799797636490936698085187468335911",
                "304388324065135935679231695897075225250",
                "124534513821107869112315925218916675956",
                "223319560639232912556172211155619966211",
                "74822470402183753725815285704750784124",
                "1172293945617761412977217770239342749",
                "317892164873149055131760131584082553721",
                "172437517101949629796825508630806638447",
                "87542863560863097975260988981320637122",
                "239570067940083263613077875791100812226",
                "158698389149115433925326877872473013481",
                "273321197195422858058524479361150082048",
                "144654501430328370175004328026995346653",
                "234778060774612088687037221711139738911",
                "79940711422519527294067993840774906210",
                "110427012605923786917565328346480615567",
                "150670184243994181876494104429986695307",
                "25634995771820249953613975065837682592",
                "288040429646556722669954897803265513111",
                "308235963253330854586649649147365960284",
                "329584859734029755794951138766365081303",
                "22979583859637365407758104929026372904",
                "332426292559697098595519253187021011859",
                "286345443877541325729549456761030210510",
                "274013952901632123259994096109762967736",
                "14354734415219350769696794937426014160",
                "323535268843651582537338771344470666669",
                "249427370809601057112208738681738588351",
                "39304571598948130325063702956183573943",
                "96347852354129905599960618064321038454",
                "86078899600101282250879280775523385372",
                "32284334181245110323341970124646823966",
                "269309892523190772133491365007951359990",
                "256787693330113611813317058169755637956",
                "306574658758380811437046240515375355260",
                "156605444739891667356962590465225574174",
                "54848524205083835066470119629442699863",
                "110635301009837155951197885947003582060",
                "228525181200377493942104037316983446670",
                "139673447015783634719212186403685503822",
                "328025340940687073067370225288229700363",
                "183022193606802667095977447052762862581",
                "115388423857396659004220707111649747265",
                "304917323328501367074467139526024671070",
                "17796465990350641212625012858051344007",
                "299142676463874833121651826404349551090",
                "229397772591941354748157882699449971342",
                "184326221245845838465892140061103932724",
                "63579136298946091536650051876313333301",
                "332764370742308237765217441829170741292",
                "315111863392937103457344981888635170648",
                "152903337223174914269203036443745864155",
                "330606788033358179804953815035322790772",
                "167775603994181875857589331849622217034",
                "159693599601252885461584094568885145334",
                "322593757154737976322574803193717444383",
                "199228601554797185921410719255593996459",
                "174385374392162196305870116179573060554",
                "79027920787460584925112467143553923454",
                "83588026222115614855354073559914293995",
                "321257210932554337623431571152363885721",
                "99235694637936000021523432008098060201",
                "83702860274588107765984914400544348234",
                "18620454036236289089466883355112747925",
                "321011222926005457142318548760264703731",
                "217983412225771511657286095445341099584",
                "134698461566154291350765309214312969392",
                "31867061304875798563310041317368144993",
                "204359289235663830393650728925434834583",
                "86299774404109241912809753501273339018",
                "284747657823675775435906120926334522809",
                "85587761582555209709545259396749332209",
                "261734403577725951165781603420138932158",
                "246161914985338240323742777159635713001",
                "33557562655947257964896868608571796763",
                "79161895382858970932328249754345855493",
                "127235479808045987455163106541738632349",
                "262284090967048969063477262283504695323",
                "66986718081609172807729320489303230745",
                "159568195151879835029515905321234009199",
                "88815956872800624497800212086341128333",
                "291959868565589820055542104473269717965",
                "24437237454168988124946456778287052698",
                "178989982085979087737693969075922822856",
                "313894469734049046088457737170193292729",
                "95069269709886667354813905524778038970",
                "81679130713628222331284918965494756233",
                "66962429927055729006551973988013134986",
                "151104250338932173012430577946538228698",
                "25732547513942769077445378816174536386",
                "133984100458610722490706462605543727536",
                "10546050329710108310049966324513327670",
                "233157426049452765590633182644018087229",
                "259750250499254985994390159045579686610",
                "171819039305252733304041606959070928016",
                "258562162822537460611659083775176547494",
                "5405860190406321239402459971776907002",
                "32381774111866921491470655218516714510",
                "131327012774353947023371251737027653186",
                "255596510558913945960393285267111113996",
                "110723776453156269219178624962919383596",
                "228080121539029740941053154441392369683",
                "240952851932956623842019295809249372416",
                "188106648401613586606004920625385393950",
                "305097958126395497874679308740246084740",
                "51153180668652464221306114826980647284",
                "124944078998884106786381054371520874704",
                "311498683845194651793641750983351530124",
                "242445388293602603027977147045472633899",
                "143606437694416405182956342364925264072",
                "120538136664398270303433607276089127498",
                "11530361640188813051628724008191315870",
                "81882694788976910747401227714121405434",
                "236742441955772381166873069513083004666",
                "33009336815740493717307164492312815357",
                "286127086928900560638939178167751070843",
                "190550463021722575576227114385615439247",
                "85621393171199763349424648659138898060",
                "283853579384439409511408772020480201387",
                "261857701438253152280356902714713309345",
                "42506850301351882523134644987166729184",
                "59200366602353256558569051723357882506",
                "141706863044729393633757815332133727693",
                "219675964510604430897429835169017425298",
                "79620167303831704364736577493690933586",
                "87233008090781890691856683267818312980",
                "255120120529478715166833972488032323733",
                "213412738716581388972248595593420807424",
                "269598594833652357967105498505232314123",
                "186572338239560061640832620983527428299",
                "305561095893920562751443225223155009533",
                "125765473498036306724647976761021091996",
                "120262553421716222471101624823285925872",
                "113490074365235216866380341929606597212",
                "214829521052728509015781419930236699483",
                "100715962606142466349681585507868287741",
                "308048105065988379166931677585557088996",
                "234381928832040813927567581640141897901",
                "136042337333883237607856962200832408058",
                "194519773264753796543295884953248729993",
                "198993808409212062578423562738770743778",
                "230269654702618496233637064459901474605",
                "262416319636387683087688274467512296227",
                "293304035905588716866609882514590626517",
                "303600988826789325481572718106069338929",
                "258851659241649302382792021987253896093",
                "219623993550416635004692936330506054997",
                "42970655331097825050133585774451713942",
                "246704754656036820659688341880187684048",
                "69944893817679622603269434378460013317",
                "305172928236489058458085592234808566787",
                "172522700443587224645729376891483026254",
                "228110406797928541822616824065169722451",
                "207805535169684408523975704653350082631",
                "104516297791211691063185885350063557824",
                "146225775368873979780787301450980728274",
                "236600453209881323995215489249615129531",
                "81985389009501464605746591162820008922",
                "76979925380040316838434540985223694299",
                "309312861692530322890202771987115902431",
                "224698409148118406247440253719595159283",
                "278687802562170202650415935926044313903",
                "182661856319237840189583995162253633203",
                "69020255301816083816617286975951537585",
                "130327160390340353594085143857375583109",
                "124652909321675539122021205112167309820",
                "65584527509100046540344970492245863478",
                "116411286798258249600849963680830332380",
                "255589612322315871325764310223397581759",
                "243898861748282775312608028302970390658",
                "228747181086823528590016255686700375549",
                "84108658154464148414187565666794223141",
                "313468916506315518067229006038794077430",
                "328167008033774235228004539499291792714",
                "23317124099971042595890506865796990710",
                "210834121842384537109530168419222229415",
                "49321600230318532663878998591594707524",
                "55314516492443223347299924843017763955",
                "176674022536486238705787842510581080547",
                "326318244932028322163550800850858505138",
                "123321772070105186630484157853667606275",
                "1408246680255269094009150024450013584",
                "244823478248560380257752948762160755785",
                "125019531179355382098816687032690087859",
                "138652992153458923945114582549158246799",
                "223286188762674492575816526326373903436",
                "288492982551643800176411626482061472788",
                "179513926887639643917111498298484760051",
                "260319563472990372498945182406701180878",
                "72955084202479484359135007101478281635",
                "271099300759172644248099601867101493175",
                "69443316403914671487173648427096014899",
                "88908950878761243311409798075798860222",
                "260588585381351274828253872008095289904",
                "236577158052395083853804542209917006875",
                "167736204142837270693928057999919933371",
                "128949859543948070479055023264870262191",
                "199547986863969088651570459157783568496",
                "312822334771374879729905742546269546219",
                "324199465586570375334483055643349996768",
                "321585011342515841006663309204811648659",
                "1857354998119996697519665279166353686",
                "248575043932932534700762327228334691419",
                "245664787339822915981415609246625776441",
                "180387334957953915386984762063383787039",
                "261443527048431485406984102193816831459",
                "257037440455342752905002962285785825257",
                "260280468113236749276318177145768193770",
                "213555006703961462468419024901429050267",
                "33012963228505459385417192941588216576",
                "216669239964941070996882028148762943048",
                "101212584255981799280982714707021174495",
                "1944535046748114947194944233497029327",
                "293027938998140601009111169257956710712",
                "129590514783765807510977694533590131033",
                "334563107331131696238602300027923120855",
                "35654076365117720508875472414071753574",
                "31107873454023086076771559490199560895",
                "265153122247272714042066737914984980145",
                "234069182022795897284998917346865365234",
                "79835642713269086876414950925958482809",
                "141168379100225546954153184003228938030",
                "256599470032913847962614951303598819356",
                "145098383610793984434865431470949438030",
                "40257688055003874976841239776116151330",
                "141747570252090656361835055112647625559",
                "93629852919800814743664364972552789114",
                "27117965367192038407513356922093732683",
                "190072734336052076757891388975249468088",
                "35724152914175552114764342747896642262",
                "329375519256468528434734448469699987789",
                "182895194132184749737686017240796744399",
                "315028349530004588739721388719624181100",
                "254431118223050557287992656183588693512",
                "174735699408378264683427467943077430221",
                "63872877671828716783829501040575102890",
                "238335021311088155133310547037274463017",
                "197324989381220772363990639072678166018",
                "165224587799152229275516649235943822702",
                "62168975841605852821124536945989741385",
                "167125261818924158686085666189397577394",
                "12504177622849029451740744697940688484",
                "160828862445376429355228421287643429580",
                "102684933967442082772798155861266463586",
                "151220622356347889880771783474847439597",
                "172826722455061601420816798809793880834",
                "260925329334215384496847525632706659301",
                "271707165432021514647983028340836914483",
                "191966831095845417536504694856505637928",
                "201397869993982851357324505246757467384",
                "147993419197074160818523976267284484939",
                "139731341675179613430676995645216262753",
                "146554719813702111912142352106854213172",
                "325112245414416511100070782494103286889",
                "204453538479764591207968146292948003670",
                "24541444659512675799340107859400037738",
                "119673258147555060372668930827511972901",
                "213430894247691529885873907939333410934",
                "26380581405748308447342468309135550443",
                "165661900463608882577386587614051868647",
                "171887049497373443532365425876671419311",
                "181250630024113823805611155798757521138",
                "186333395938622782803120921585832950037",
                "43800493975008761147500526294885404634",
                "42008182602765154454404875406752930100",
                "124088174841733675353422932264176400943",
                "328783687805679287298859140213103024375",
                "83977862762830597077367689283801488298",
                "285645589496805032877811016211873774481",
                "276863667778548768528061106313172673582",
                "48090063640970994714346494555043565254",
                "301099249629592188711566603859104157101",
                "87666956406411988015509348517747203369",
                "58958832775611931376974292112707396455",
                "27513918365495728793255510046308357548",
                "121264077849646473661152294977435507814",
                "43541113964681202480908110113800672308",
                "327357231473381949970971817820566112320",
                "204166211933896260593079702976702870279",
                "152565070550943803411331621635585350410",
                "13215392427066985636220495560784569244",
                "48653217268960315773621472817385419754",
                "41664227564056469792863975166729003066",
                "339840332761407452730228459251180341700",
                "171356871771244515806834718210993603730",
                "17806195556005930463684730895145957825",
                "203176181511288363426571346687405645819",
                "102471813272244794514411691903689637710",
                "167242491351398720495607234155492877604",
                "42328820503465084931936842419291197447",
                "172021701441972579254010184464972851558",
                "242624107411398154044905845014707873536",
                "2526386353850438939068773993921191932",
                "165992509620393200902432977884871126844",
                "312356915322926229966670088491964706594",
                "144963335526841915796048662478976763631",
                "80054453166623802610431348270915997573",
                "50232758432118353610195434519670658384",
                "39118986721138269134577342583799857295",
                "314801596069242346791074723991534023527",
                "340241166512215966298042557722746992619",
                "338566641350388784931748071459600909134",
                "15241155166551664640738679049482928503",
                "185576019167614658763773341759942798435",
                "324124310800799899410095770421126743716",
                "209710035059909413629605292925888694576",
                "198019911028014174089318745309028184684",
                "85976796398278169766544015780258542514",
                "94711227403013960561411746489711420992",
                "187907566767596143521289703876985266759",
                "194424047348565783102567532689887112178",
                "104921277885528578888709303419756670949",
                "193809253788059780611278398076942377428",
                "297232899378573014206155431123255416910",
                "294432131725932717915787396664021203418",
                "80973770538931063972373275147305346812",
                "95697723776802223370234335459697860831",
                "31866243050808704520849327092066452120",
                "144899788468852933334108199183263191111",
                "321251070632350739253164498896730140039",
                "273681098021829611915652069106603722009",
                "204168406146510097417127978548583317212",
                "132558343234156691111610315050431278505",
                "24673313735385951511565805499880642125",
                "61313099371519423428147762099426841457",
                "317215656470064358695375279650112145830",
                "197716148801207652122522942826869557701",
                "203632721316161460742993501582505652773",
                "207913049247747877544353651439998617894",
                "145539952274955870291689016379339781794",
                "152057780854582094770448916005485271706",
                "157922930279159313489902467572334020881",
                "256040675144597169292839314497388077336",
                "109515449326446407874497103984348136890",
                "66577724391435438451966986410118415005",
                "296788156987275307619994733046777743577",
                "285676434954955708309798971344488277150",
                "312553250764896561498640900324450552749",
                "5347264265577013818964631592173497205",
                "68256725207712659707458631015564006224",
                "159599112028307365777440218462333591596",
                "55972656695551647570851598050422657430",
                "285994274851636961257871417539558881878",
                "246033896289487437427310826888715068792",
                "198217331434913739760232061234640792926",
                "2166430183455835101470130935547032155",
                "114513255291555858504191282399339359304",
                "17221403601602887370573697237454989278",
                "170953308807336508759817247004454167733",
                "72187060326461156135449059816163238021",
                "230092410960159098429440993444999913205",
                "255807426267214065847722027363539483484",
                "1156893524254558899576053045319113219",
                "249266390935810539417290422868571139229",
                "37244545279153639151588726723010493531",
                "304406532853504987507714710360890745755",
                "80140145391247786498916729480807672216",
                "325993293016838589352333802460697142395",
                "63152933110795434873010357098334018309",
                "123654442778687540505718505003673131595",
                "126411322877858585504796631829411650327",
                "173234739861508159431078287449981831509",
                "292080944504430488524416804504404871978",
                "321434767702248719229551074711238563366",
                "37779248294568833667277787212507605485",
                "297817261255690221610995410632356904188",
                "34817001688706074693385856882495964723",
                "93954170185150062587258248427358792635",
                "160921038554178606888596819092028316863",
                "169346141065287259586345933854207665534",
                "298342869834007763366012265717632541695",
                "226052452460848771970533389751532121708",
                "169941241408650672322924548975497456302",
                "268232328848814209647734636664287087090",
                "150010385798792025362936255879185042531",
                "260617036447945281357403534653773591037",
                "316498022667987901452801558263532770282",
                "285441116057636281014152627336674537028",
                "149926188994322185260930116653147729000",
                "25617193409188283004746039212406339390",
                "148189700617191875597907250144836374513",
                "37284857780273569951221857424515685894",
                "157053367059731351855228400200267186941",
                "91973170448733453460333369383057474423",
                "330445607026418582091664871106615606493",
                "72994883905423033222441126969608687342",
                "183962652655699487988496314820247808883",
                "265082328152711720238803594690257713801",
                "320996937384013789861164464507518055901",
                "257835311286728204609875974484519894060",
                "52442877344123025704281544080449997329",
                "334573382486198167962393571186689167272",
                "335598105027569363859600821587989791119",
                "105793523406771868747889588445739768031",
                "213985003322665135341130495759209562347",
                "16681807297191217050159007245485923150",
                "66616924297538163366657875267812610532",
                "339569512149129815130871398366415383979",
                "153102799672198511953684286322311458851",
                "99882228261484488943362041576838496401",
                "130277093985868406435261062917190459686",
                "112703659399627229269274361316788686694",
                "36218539530346075097445103130784164403",
                "48211453065298803925702889270480668797",
                "257669128665768812318606548827110674081",
                "109556521693603652556317471756709868162",
                "276883080831007285583944989951529724530",
                "24852382850419967798280781182898846433",
                "105862043124310388747825224440897754061",
                "186963670101336640296140367648246555802",
                "229970629510265378703508618909641316920",
                "283214339332980214761746044019329439424",
                "31593888378514857450739384216805978494",
                "280467590932399082657600239610413036595",
                "270935663417463495702840395112829651178",
                "260447719819565244509598476241617638630",
                "260432271910812811728844371692148842182",
                "46681877822197849482703693127052030081",
                "21973197032140636688651332114342608166",
                "200545980772898002543828062589850522205",
                "267492732801406132943757410105272266408",
                "156481445610985225402036278145968593535",
                "334131299818112674927090874473754092597",
                "10804585094817254428503635696137409765",
                "219030841545970879155584918678000385621",
                "283787397934755110300122156250056134294",
                "65566707710724282481444075681672802480",
                "296941263174751904749984457753193420356",
                "83999508592053787030523208148500098197",
                "247645099467999364211120545883287748019",
                "141490146660979434009944687912734173424",
                "167505226359424881459921224541521583576",
                "217932669556662016315999177865205311146",
                "136342616157700131162841514898431758319",
                "145897228173062013455716254368583310148",
                "238142671686504603567202003855543915105",
                "336314567212670570146176565157909157689",
                "231382968839624408006408560908401378762",
                "294001369439949115361926997277855079731",
                "266973866049784514343215060021461139045",
                "281263693421454505237956788338479023149",
                "112936041989680133839806056597376151023",
                "320514830868948159950947066231607038988",
                "290083831885877177563272182439026967921",
                "194096181049136598613279930958235286684",
                "278699491180893795181637291555618685865",
                "295729395378941846289068300955664421320",
                "186256845885908071976944263547813538137",
                "332096191642760347353864209746927568587",
                "203839750868866463767847553146019293751",
                "203425686930123785237411846860674169571",
                "29247514675829991565222847554191728706",
                "198341193532190066035410383931964694691",
                "280446582146818527556568822724726237781",
                "197575043699548041706183682653864758622",
                "248716603479148128844303233673142316708",
                "235041328441784211472991218107283304165",
                "73845690200127584034897811761800830375",
                "86849725826765466670116072411023452104",
                "133628279184883124268650366169892690611",
                "99463803830716532600119314325742515147",
                "141431326215109391736969291763332730401",
                "28335715670494528304648990211472164767",
                "269819295265706733311410856349636950861",
                "89302295625871052662464421442161330022",
                "151008968387735691637174663870470788146",
                "220919658459051627542631126669743043868",
                "182943062500518541516861303528222306708",
                "85955286300811783292042259490491386553",
                "59054002031696789493330105903088514630",
                "157332788925302166554438796587106731134",
                "22517025827019112093653233463186264631",
                "123551954859534386760086207294920901372",
                "288723247322096244012770833208403027200",
                "285983000920590972772269550243488010163",
                "178238532173083361574594448160501929160",
                "128568520528405275037146753377326902012",
                "327368757708242181826390813323836755128",
                "57390408788508416880024731606130902613",
                "261199599759361189153366126571475500139",
                "205630936087754911533923379828208409704",
                "319106399955755521458093502351716522829",
                "43074718072862737135284195920430747156",
                "36564856525885781506763613003737728399",
                "25656122661580896617803070353944834972",
                "168419822587376038911288961633233263641",
                "337516662542609412797702105663648132472",
                "5162668982710541753561557071891021404",
                "272131919067318202483899230352036431605",
                "224579280806940927625549366132591422040",
                "334923460337007373212336517718999334164",
                "125973618137277413247692420850122901310",
                "130057057825355955763546038734620149656",
                "329984541129086886182501489696967279065",
                "204669918830359846301142488365314273913",
                "295419080909374397016207424618599849380",
                "57191485267295222709229802733252380086",
                "141322072286325794909171122816399052561",
                "158555838894221457333294932376060578806",
                "102664759435907292332100140460953452099",
                "28114725221098084446229589064279291238",
                "169847182740654329636299380048094548224",
                "70727629740972960490094872009506210809",
                "177176080470878907119902849206740350644",
                "247484082379690010111925851891851810888",
                "241071270721273076336403699977870120305",
                "338184819773674033228121688633352180034",
                "208004830439450162628611562034204586640",
                "50303764394596228128741296866464759827",
                "260699639431138012238374184621375100373",
                "238134209029150608899295457783778729819",
                "334802377526122316533023523427664014744",
                "89580475205309439328064670557855418367",
                "240712779074230467765376311495654483353",
                "123130768547126983704043573123848670081",
                "126838668289362438968783642399170797419",
                "313997384829403338204681594354617583182",
                "256721897144101094796606696690275927420",
                "292941236246362017036806533935284545665",
                "168217523128726959705039184072329185698",
                "230365850993338453347911054841255678133",
                "21617454500784894157925995926897288712",
                "196604806454532454800734191145083101754",
                "252088679739376827753112105416132345224",
                "113112637611289712196120201101339696016",
                "85391403556841292272438979378640797953",
                "292155250301288526433418565440045008153",
                "283346656112605413443462399609899774458",
                "294628379388961828788329817362906482348",
                "245950696401209963926604529114890596830",
                "94282315661601162630359871072415609139",
                "168201867155020529268118225061594316160",
                "47650404108459380768405700597587812386",
                "288489885537578123462147069823129817282",
                "258860271971014210623088992078852901094",
                "148704929260048422021115035233411095630",
                "35732763198344932111005058673007730425",
                "298397312787445503920576573784938854883",
                "203983591975675541561829818233598362380",
                "212383624650613163116081939714856326911",
                "258956817914158057503366267059243576411",
                "104284756462973508601491963665918843723",
                "124864900689779057601783163370325927084",
                "954440041073206652023519661172473204",
                "140328928184506747501172226597083480129",
                "32838297625537728403020257503895380972",
                "137997841837948145491968379036956683228",
                "332925124659744161199146192709906582435",
                "316955727011536850975091152043371293663",
                "151902850040579881297692626541415615273",
                "145313127384568350392964000020260533948",
                "30918519577771051531411243788675993393",
                "30405332541418176272966222031971077132",
                "330419066080463996936811011639077276582",
                "99539216002428200766300003327183790851",
                "90486705411841533909328421941704381184",
                "218981424162542688625001260470165522026",
                "242582225854129916073286278486682784993",
                "241448195830954214614521908204659506242",
                "206370907322463315320319867102635047986",
                "248967097870500034337432029607869643014",
                "300708373753078561120459896641046537478",
                "58629498990924733836841048727976925699",
                "79136625506004364094397875459900578484",
                "324926161662960840885431598898053623430",
                "276045456959254189740156196374095879547",
                "69148012397690290794550198304182666211",
                "106328541400318106809825244903215522817",
                "66415584978758956089185492389144072500",
                "286074882360644093775982604098994396166",
                "86465183757091276576161731314074179210",
                "295861766899732844214816295839682741591",
                "25202981491357734333958645235579566333",
                "96474115079209480383699789788598908707",
                "283163830652277592525732194032938135035",
                "304435753124101616311355486631175838022",
                "297091288963719133412118506993306437320",
                "182465091880723231534722167008956407580",
                "335710745742182939894002821979244672146",
                "220425551603836679676220515251236850114",
                "204763622536485688146183025695631925300",
                "276243363068519219357790641140972576226",
                "172148135503440593438755704814424884825",
                "237118795535502219880220059940390228984",
                "54367995875378850991955765443606150910",
                "6592143745895083507432737205470589098",
                "27283478357389900394096210216424818653",
                "7894528160789446781748225526916912947",
                "113014848461514385582801666451788694931",
                "177178800252430293114148934832124734454",
                "50524655313782109942902755836910135043",
                "328567763610908256313259206822761795152",
                "115300906645779570010339925164377876757",
                "259026449134921870876278017620167785146",
                "120009185805270287135822710409472150211",
                "188623729979520143119406964024797724270",
                "63954127402125362023534667312248826222",
                "267307692365033752003032393019010091557",
                "45933416888236848251117740245836494657",
                "290751401685681137130210034064837322659",
                "284419327044786703958723991463539385327",
                "39193550942189735470528725158331957630",
                "339135034768487990059138444586916317426",
                "274908175840895939341589334189153688865",
                "299094135667755013477292876205028316818",
                "294234727669160051485702195266208794349",
                "34823799011888272963353153685699429229",
                "110971711895984234670553873266278322364",
                "80652748661124514437091507762722131059",
                "95397313163589939342201493505259267259",
                "263850119945585856617600861533169583247",
                "32200002906560384324268476107295771968",
                "322338633601740151086065112171178972818",
                "110305316680197802807929569518521730473",
                "290170130118617456631144600421877858468",
                "119938359421672262534234741609226419142",
                "136135415456618975669303928996329827601",
                "260624756511446811710523727613890717055",
                "282094698915722239522462492130226896669",
                "330792023895391766863980919114352055262",
                "113165662676526449538053547018851264349",
                "111522816742013297872393470035154343704",
                "24757535064531975169300330296283612834",
                "100784772825033915983889739437398705309",
                "228364293030732533694183703449235192169",
                "187035437553601480143770377294111513521",
                "51255242307060075854714119797800674169",
                "182180821986046126703612921029446059119",
                "207839381111512868259009525244078492878",
                "176247887057103497773733447360195664748",
                "235642647091844817468420183241509122578",
                "337117357308700341743338076263117233081",
                "214871078563697790926111732629770452540",
                "176751320204210446505358399206005276829",
                "220435106613213948869176404310699673065",
                "241882453439502623657869230476261270932",
                "9094024638875665357789308221382907342",
                "44055086165659989030846220564632151277",
                "231309239564381891760434538776796387336",
                "303612788859698917522143863146265663346",
                "80006538429028544311818522796293832317",
                "263723780151564298041957342785115579619",
                "187499905940551480588758834192602334565",
                "200206933082358151389355011091200238726",
                "80153661223123848946927964897992597816",
                "241431013930810329559792091886674244106",
                "121726446119141663809533287237594879996",
                "174069629398701139019224178374668808179",
                "103969786242211073571529223390312817573",
                "68396877113154527780399497983156866234",
                "129416212458336633731424724065343692374",
                "330585137438468024394465466411066573984",
                "89610375026203115314282722038895086504",
                "172326082734885251444581552007559608575",
                "254264130709164279220187484325491824748",
                "191304572530880807671200654994062563593",
                "39419590058128292797641986764058725276",
                "99604841941514606466821986920747200989",
                "310614213854017119891653692933226835234",
                "238915068869708704679294250660924172765",
                "119928220673374290448488633277932004231",
                "335856239507605354265685654866947084971",
                "244213984132823385263901813753745857454",
                "261795411752791678845279106563985757886",
                "102453912855335611058168340323618446018",
                "292041673408614243223073437379056125553",
                "64383686040879312020926987030766636904",
                "125318755661259912080450278241033544170",
                "54243037200473731148216762160547907584",
                "169911244455100903818947642562609612631",
                "182430745258835052906191277025103544188",
                "259052751216674856343185152533985424404",
                "288351829080246615553491642543067682905"
            ]
        },
        "id": "CVE-2025-52484-d92f735e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "154593894177130261593245361867296319033",
            "length": 4964.0
        },
        "id": "CVE-2025-52484-d954fd4a",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Div0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "23796583044071817265128154123750873282",
            "length": 917.0
        },
        "id": "CVE-2025-52484-d9a6f0fb",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "34839463437284529955500451824014596685",
            "length": 1138.0
        },
        "id": "CVE-2025-52484-da3674ea",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLT"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "321238884313430441161625131752077866370",
            "length": 928.0
        },
        "id": "CVE-2025-52484-da3d4b0c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLTIU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "298964309236062607224148150611573999350",
            "length": 1250.0
        },
        "id": "CVE-2025-52484-da617053",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpBLTU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "331074861983498133529926793508501966604",
            "length": 527.0
        },
        "id": "CVE-2025-52484-dac7766e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MiscInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "32652557659776978043555076759683600890",
            "length": 43221.0
        },
        "id": "CVE-2025-52484-dc675280",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_17"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "179879152990716757128701782484165568725",
            "length": 11511.0
        },
        "id": "CVE-2025-52484-dd17bb26",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_Mem1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "23796583044071817265128154123750873282",
            "length": 917.0
        },
        "id": "CVE-2025-52484-de717a79",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpXORI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "315894786269165880599094541805294828517",
            "length": 50000.0
        },
        "id": "CVE-2025-52484-decf6f12",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_3"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "12813488053075171503171518524275492027",
                "44877982516666554627878770164250051087",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "327345808198433363612486199099320573085",
                "290244699032707107026824727755730496125",
                "234617580768832284642432360240971451093",
                "166207064536371314831253196024790661585",
                "90377056197031754443961052908398815556",
                "145898635975834150790794615727201075210",
                "34153779385762998911118664723532667057",
                "57284408591668527721548876786747916578",
                "262538870065771228332383004286304596580",
                "88312538947833597049517799303648323181",
                "65628039336762840494405279244931847203",
                "165653957731602772907387623529279450790",
                "106038272025496142022529146664832719022",
                "257788864932331970432692932900715892872",
                "119249201497599096250308218638549071940",
                "131732983758068985828148381082495738747",
                "319648204470228050345464332880869355346",
                "100483397002185617358475642411624643868",
                "11894483712451327399787167494517313823",
                "21732654110655884606985628382011738777",
                "260382423556117664316914890412670056722",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "62383009055255344916280731600010845186",
                "252585916483657299140867203956552743266",
                "207835094282903325272471514891299882155",
                "175374586615263432395164658337371144996",
                "334334419849154873646919494136560127077",
                "286628011069813641612287795941074911021",
                "222581849173620289803504043534988083531",
                "1474316695877182269972681769985120849",
                "28741894509064326032223771681171806451",
                "84397390540635435452002551973728942178",
                "337356286674681979253580936286985329864",
                "257058414696423034034361279556248601030",
                "129423639894171067720927031016992307548",
                "96069389525251805151656806813911185614",
                "82581938034124105157621407174767403830",
                "147563334508532364211875619522643794285",
                "272169268689796372688623053464815453863",
                "121297234179407723055563604488849120240",
                "206391912989071121237422281475995407787",
                "315710961640974912394959369886687649935",
                "219707717349837087501392488757777144952",
                "304557638863903406605327519391591370834",
                "230305382853678170283150404666300788654",
                "200092937923263466135964880523342805057",
                "203173464199864269372696967706453945703",
                "165778512415660031308389953423545760963",
                "84569701937643027114044831880753640167",
                "244271514700153675843790190038802714160",
                "105812856944751256073991075402396075469",
                "290606029055710165947591326251291612345",
                "248896227198741797218628251650216746040",
                "236801787075142880259640975836461411997",
                "174779015572650093015938274995555154346",
                "309593860042043944028821120292992887331",
                "79055773184223883842889339324514531157",
                "166665096118278200929939388352785931738",
                "340073037389827633502270139512963517738",
                "24087966442392907576364782710714165973",
                "217643318907366014287210648012764692974",
                "306662472225995554466664578026416443726",
                "38567710096772505175359393995592939232",
                "144299338373544709894295132057124994201",
                "93789762807343956546665625146856093979",
                "217977632077801470579869761358338984615",
                "319041727451272426137052563918850806072",
                "281506482028382617175541325117237565005",
                "138797593988467585154907279318485172069",
                "35499040028949134494526664374947679205",
                "57072324507012591278857392557955331930",
                "180218159342707013482379606251630037023",
                "137211109418194771255659223853387525474",
                "62679388232453475037829527156749904181",
                "317308274524342276053208261436912825456",
                "316593678840460462271492842069384830646",
                "308223860064627149007088252798637601596",
                "98890864817484353456409795388943609895",
                "264280387540957232997251239000800820766",
                "112986984656356330621221358034911672956",
                "173580573597103490679838186641228162987",
                "247595485853245439791668032912082627510",
                "64156228146485087247968352300851204024",
                "318080499613389696342376651401822968691",
                "138423706468635519333473427214925117190",
                "261294603263758879963444642853181184482",
                "195145930262412517546518601790119654881",
                "297109977175623050422757981356795453198",
                "124141700396990465401180285807293575491",
                "99037543380354110354813856217113785484",
                "253867400309852293549794662445898601598",
                "134970927521206517557155535335029352836",
                "81174659333894542824752667965901087716",
                "304643067777694888169425132311092598963",
                "61393484567337450640205888283562210503",
                "338046048422045866274384250858762890746",
                "321398589762181236629014616481429741336",
                "199633381431730421237387666343227273826",
                "47849838209759260990500435800317201334",
                "93418164084151247370440974272826624085",
                "317371859270161367992543427635703258472",
                "114244631395561536076752055325409914013",
                "148508937434475975978931694631916133436",
                "131021983302201154469945367342419414635",
                "119963374256350689118038084304305515558",
                "327172880018583413619890698586357282174",
                "222445600991632065785444064283421285707",
                "5384180240568837254625287957358573180",
                "281752092620089120561733556255164453919",
                "180836707043062230737981861029485148066",
                "263386305191522335620944703028429648151",
                "189453493142088195676228970931702270453",
                "274123547930189672200011312020642832939",
                "199437510636671384806792301567502010424",
                "97787645969781561459380226751189629149",
                "212535102368122491110088904098075894655",
                "332562438543155371306722480516041610492",
                "196031640762262898774640409068732133108",
                "214985685482233096381651243366781421518",
                "147714152421798562785773212946629160552",
                "98911684608983365708399730948815529918",
                "221977948535848173558929393675690445657",
                "29653750314020887380037183995447650227",
                "170502179898263667847779144045154757087",
                "65404098580770402036932912257065943911",
                "215943936444130607183081688505039182749",
                "286646938441090293135743483426233342699",
                "98991603519505527926448100784848233091",
                "330598299019209420485707624885165198517",
                "59874433634175070318479563505274226521",
                "182839714633254602393439772714905559465",
                "319694311918261598151415210159128739059",
                "299249668574876090173610642812991210607",
                "190267023027932013221164789893305468000",
                "61245530586873808947137267688556952911",
                "51795907990329132083761313185966742791",
                "110875852957389141125290695887449130090",
                "132578044809341509800758510177633429733",
                "330456395435900574533197244154204364956",
                "293548155565510779830070327960714748348",
                "329487026556138524119499009918474696980",
                "147102541380497879027874540207627850789",
                "247826676954529275022161916089102291553",
                "142555300593192804975672281486331619345",
                "138127411787986544673701854379107341560",
                "265052693698119253568654223918056913329",
                "143884111932424513131019560240553698036",
                "151074528839948506950008963778371320264",
                "17824493118824463501434760095650057346",
                "273077546800265624001216178160038153903",
                "133858856962870927859601904703343566536",
                "22012164742702702746602764259442249825",
                "339255269121765734508736961593098513462",
                "74922319791767491897671125248843376283",
                "876992429040180348593191981127681821",
                "177349963300793106466438610261323606466",
                "18631175576651909800291096463145204125",
                "37169663288032627360074251875841212427",
                "557453382314737010271290385446975877",
                "78044717603952675807472264555242432693",
                "20089270791078096852164827373735722411",
                "197840129910728648794075207706263576620",
                "310612560930892459333377283435180395191",
                "35809731568706372605488377468419188847",
                "126833214105934693353355819918187552432",
                "250234170655322684662151526209904301462",
                "253250127658154560246848295167124298420",
                "2965127127942483372213455660182193783",
                "185444857929376777361272786431221621871",
                "56340277893847129057949246671426038196",
                "299971451399983303875730854613171674138",
                "239910920104786026063678732492173696715",
                "55933924408838734653187406231857102940",
                "288846318026902864838012878755937867142",
                "236957290844490913525393755743195781731",
                "175825325202257117069408253744780736569",
                "154691556299729964639122896876486375623",
                "11116389286558934984699762024617160898",
                "252839345754139044083088631701221340380",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "66829985047198941670527981004377860381",
                "91138680865276786094592837313573468534",
                "237848800845396607515665231088013987759",
                "34533207841781618503610915902933405666",
                "207050470041867178498404705338693324742",
                "288548512797514375147810357447509544413",
                "277453372978024050267231628137135221115",
                "326223243152791046596660730497278569792",
                "152970336847741985876928902127909553149",
                "46168874162663575594624565775984660733",
                "249060858819926038347673257875713680809",
                "324529703545167943887605775116554023235",
                "17801317773625251211016601500957526289",
                "93153927971653918612651231751581268115",
                "221029017059050142517228093813180501256",
                "4430003665942662694341710546627528349",
                "1289666282747264832517357572794874405",
                "114614715916592254961504149477227687026",
                "15988421560201104864858552771771018009",
                "38321661543172334905480272628948525412",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "21303317007129831601402943089777426944",
                "318358497013429959408165897777727446022",
                "287879912518053647659981810705039030201",
                "207418256114696085129723687554248196651",
                "280024136666565649034242662197708735998",
                "138242139883667802716365531600975167019",
                "189481198936517449174293614109951684981",
                "292267005627146049009670355773491674380",
                "68743526021385835109438374398568124034",
                "119805543341541917657351809271855834204",
                "233752914939346292144469352455146682347",
                "75795481095906923813098107885683156517",
                "289340716826973363397622431170650417963",
                "246106319705143671170388267800209834758",
                "227642180589404067482243361231818150055",
                "212115068921485600066241702558570661786",
                "144963669313361052360525074114951319126",
                "229804557422661179541331581797832473522",
                "31815047449194145620475202060223146223",
                "119090655812663754524997090990252927189",
                "326656726104806785426523325421752221755",
                "296190200014238567534747113905595063381",
                "244235831573088950633793121232755929387",
                "208161987002069758136758456559003293513",
                "88163954334835380509437453044926748577",
                "254747825666519323420587931476038406430",
                "200251319832090073968228867615404270177",
                "51723327681414282099816539215887432698",
                "118945821074510648956905497528394483246",
                "237876998015628255012466786339461948578",
                "95773894217290552912526676000926404190",
                "298167263587247736880521943946921187976",
                "116205195329320234027541501698259682699",
                "142825503944198397811921726208489252811",
                "321522811020343483271146674263251536984",
                "115024363050043795698699988421548045104",
                "203693572931383490958778296591868538888",
                "146879686429111725964098176649278187120",
                "303451549340089131557553527642123312931",
                "80347702203637617689231627114126555035",
                "200290849724115555338603325846263583211",
                "230285489794203620086143645314604164765",
                "211706604846930477593769484301450543724",
                "222101884574721844349526740353130640404",
                "131668718134521009690344728688682757805",
                "52566414894113307289016230355661099624",
                "28827620514460205812547354003139962750",
                "169455631354399360462904608827858168542",
                "167886273035042582539302034635600696245",
                "15960145971442266205067395346945002739",
                "171512589781922268814191414788218055037",
                "278232928567852908843742526172818538382",
                "55745969861115214666195996438330263786",
                "120511588233935466199815724810948983377",
                "184409286019443482548376332570428596361",
                "126753340379579461667614186642380147174",
                "111466938904711874361170298557485023421",
                "140756054043011183729269226491578288586",
                "225908055596464944577988665899445471323",
                "301511166396282513639714327922163938027",
                "34893641090327110240951604473372883415",
                "263546551330724567909632945577763645320",
                "173086573272274475664304086346895048418",
                "181298243801784474814505177043407973847",
                "125982223913944725165709497740363731020",
                "194167008932279301925333969423108213961",
                "279541997400323677641568053015507865996",
                "193159489417285182119955760252812252690",
                "92088914042107503344823389572650619260",
                "257922177469972078284334539878928771136",
                "69179784250383326265585315382124178798",
                "167427082225870164132494577575515436804",
                "111584752677709253808022785532725684240",
                "201739783158610454433518883846046268691",
                "47838024407686397629351518790353405050",
                "275705807261210707117597725933852433029",
                "110634264651292147545189971259735812741",
                "114532185982892509699942454834644498083",
                "7949576757171002209543284518781164024",
                "201686846616631326853051363528222009743",
                "331562517615839193236651400733652135518",
                "333501656180023429061147229595161776275",
                "195279851449295820434015801717034478350",
                "119162574065098266966588128422548791602",
                "171281515978218756201602894545970435184",
                "111373194234510484819304391576420737287",
                "200129816564154625410141424343918942339",
                "207621185993276169620854914388661128933",
                "260848116019890890962890048667445080199",
                "288922751008124859791920078302860598629",
                "20985363093538306267736033106736245783",
                "46635117026598409630149870446364800496",
                "169877506497444923864011708098961498214",
                "146486868220658649456116702235270433966",
                "297649076670920045457462450589171664528",
                "86946607803799451849382972882510586568",
                "262834959396911258993428969964159299730",
                "279422264169210997483209145236928828588",
                "79142255041405753562882046167711896622",
                "247294295290573849785655464218871567164",
                "23167473474245688941657349231899593252",
                "410814240383044609848616111224718712",
                "209664115596706952968360274892511595135",
                "100573227042709814985482316787056294666",
                "136400683385798128286719503679215988424",
                "42639009922821887391325397188830324794",
                "33356015086948924677306321236031818366",
                "180928608229108157645456166729789561718",
                "225051166457829208986762643964928474789",
                "72560012989005060252050453599666806771",
                "183715792111372229397971309838630674754",
                "29405134674947948028575538312155535624",
                "129780852864190124463927227124184609336",
                "160617611278364885716124528449086669465",
                "167829781847919998406097761894994029384",
                "325229382920754015501532714255296191406",
                "14929015873622529544868747298809171080",
                "203354694558721875786988863036177839949",
                "113423419950278215320289414353319861108",
                "269999160456369723494263900556383518813",
                "190727601915919796410105517785444495415",
                "134103544759393506838788707109232083608",
                "205104250223045305100324984251811822090",
                "282652447886923141159076208174834486304",
                "323136060216102843251432124029186876931",
                "105007174190785203061793508297715120153",
                "168590279337795477862166169546562027060",
                "51563659250771967934913577966706201740",
                "49022467555925692524998687345444710781",
                "283118166849377242399249302882313320530",
                "91706289219821880952388431389297921445",
                "202528170278903897719289868388078481974",
                "205104250223045305100324984251811822090",
                "28828771192525698130839660567327751428",
                "142454870378044274858387609976055382817",
                "44958579103953368887025398626724985460",
                "290325146690867256128527603041893682552",
                "310349616017058021852605953690270370823",
                "260607644516356795925542294628301643670",
                "336071971507117342571266269911764797033",
                "76876751292121210011411116639718023434",
                "11977903989846922469278113928766191259",
                "205104250223045305100324984251811822090",
                "339813329342562835657368819426144353764",
                "130383169439671288273140706853238111320",
                "26717967443687563935969522445987694015",
                "209072802266059738288038666542252972784",
                "19860215795163639595990602104273983970",
                "335979035489703125972197420673177369523",
                "17488271715453554968805837163929646357",
                "158241776156831203380897164492229765332",
                "309749267963370103910956803236423030077",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "280370451747856586571303727883399081264",
                "233871420510623279198986081732680960200",
                "130302828024095566340878384053553882978",
                "215712402938483903836933192900279678158",
                "49490925502687436795317554113769029988",
                "322240061633377560646082779095777113206",
                "32820911101499281331512890567123146514",
                "295396773933422629762628375023440126441",
                "195117021166936156621743436538894573603",
                "72044849732348778469523827564248553231",
                "305772964292375631698100061574698313489",
                "244296457680852434619809509828539354973",
                "200064077164563555731069644633879406104",
                "224173103278060554306734260097377976880",
                "14478887778912604597464569557534392148",
                "311259289421855993463728829025056404403",
                "250918092874223743517562023798910260329",
                "170868747400977317844744414265290504120",
                "321045171065471324471096460428556662203",
                "103841539297108605235663820175005183834",
                "102527212115968902342049690988830751149",
                "56273913562096768950935771970558584687",
                "249643503398166807777296515602818097460",
                "100861228497055512334298927850895251170",
                "334200287904957215176042931085585708944",
                "199072285596944346262483349225288608577",
                "160285589000056676478158571879182653051",
                "339186247883603545228340894556722205389",
                "300628774794370917073724242013094891486",
                "19827483989365295132341295555347802811",
                "41660341219221461288051542033421076300",
                "119931025346334765595270760991958183003",
                "289484721734420254224571616112211428453",
                "324190148748108690329203519851366926694",
                "282745125573140260496691574161100515069",
                "118463998542140801573191045247450935705",
                "287188382763142862705205528827721962611",
                "148437265869009556421958419837862668497",
                "4050091372102025472024908668558607911",
                "111358911905024388153745519259228818857",
                "209906211787066654285882625430199735267",
                "136215020402217258833901132235478015717",
                "326937123962731040211124808815068334745",
                "291088423072232390534912802594147487529",
                "104976959131613895463297901351169581226",
                "205064595949084810887729791256549780192",
                "182786952015860275566143839942882127593",
                "61400228628132970842038404506713231519",
                "64943426193875293806930209824711077068",
                "254597560733682763205682799670875346772",
                "121796727989667702867618644221064103351",
                "290697644341204132241281833305987777440",
                "198902094450740583343308670902976707664",
                "133909925137628780781536109000164601903",
                "245709869361393587031983361979914873193",
                "33302245067928564523743256399696228766",
                "109620758775373457222588378354044663929",
                "190849766016810668624963682360588400533",
                "115226483342611799380477112270369373828",
                "83943749145695852637270920800925503240",
                "238978758878102614204569046569779495633",
                "172908463551460013831603305299063066877",
                "266127570911947128235688098001103264002",
                "99136743005836226383218484167902320770",
                "198546950970228054855564109632120669322",
                "208190012092996069411314260899989480387",
                "324964444644085918630386285316225676710",
                "328677843068341207030262462926086751352",
                "146772160032717144193417533971251386092",
                "124638124564299242166724503885142781710",
                "322114525539005172539584420642224294280",
                "172828095180514270916701571993734605632",
                "59129036115533587541781965670135825714",
                "101501431266523628455385465426310469597",
                "60031612551765395019256264278359381550",
                "146384604465436697759577947726987800173",
                "160158513708289376265169510261895554884",
                "56454184645055953168770401941866077437",
                "72479653315212545668971539946356666457",
                "107962432534249165398087093992047501344",
                "159296379109653863556423167267005529287",
                "206700826640243552324945787368550274862",
                "6590640923811282571118256654733425714",
                "32371293572841786149702165995357825720",
                "93071759505228954654792882941069381748",
                "64344111006150649429737498866766553968",
                "12834507859377949436089271295307974898",
                "189888351512451760770308691969711837475",
                "336407454255167980090769588466005468886",
                "160321544760078117896398890822941283712",
                "190033763070836271640958457071438509852",
                "83075902453761139810587572040661755946",
                "162196133841386752614846796035371558124",
                "106838643607038481258655313820373808734",
                "284371739866100266987852891861278092132",
                "311447977341845452391052856941607230316",
                "139186537507694023257196467621835854428",
                "52832597204802095151448332089755626663",
                "158315854865831534668430160573871988606",
                "54440814116094007790822656854923310762",
                "119444911312587931613970147524358373262",
                "228394824698977293533249109724483781305",
                "11658358580322582355393019092195969543",
                "260155794881882828248222923966575514955",
                "179724527216819067147616461685459850366",
                "197889356913479476875391713990515265044",
                "210827795573396164767485908274837895903",
                "107731910129018487755304472803998363929",
                "105677497305579997242464430362775034871",
                "171000604741976611832343057598507656892",
                "140789361388505249147549493346734682645",
                "301731041203806262780526893501325297959",
                "234882338328087368594376887531547006515",
                "48796587304753136023549422288145694122",
                "34602886628102215671837368354650025348",
                "116986361108338796997057779292162941423",
                "220299117029236296952762083575986618320",
                "324916090641406259037145953082516823697",
                "63319848088731879862884172650728422821",
                "131999359574601342797284379007345676274",
                "254534103910278955574204006497647575953",
                "87049924278055250811597351973588232157",
                "328864076341519889056894925291699007620",
                "96633450294189781636361723216579117195",
                "4850921397280620784033707503114371582",
                "149760456916790571574826354715973818315",
                "10906218199276448976952394141829456843",
                "302526606173863641718937759863006482432",
                "154467555662228754938925119639041053605",
                "69087761182492149784721476690911130634",
                "174811996821278548822985941127492207784",
                "208401707205465842907756773666209784603",
                "242735141676296879365179681138106247788",
                "204820502985640919769301948930275137260",
                "13885010559372081654767838497945550732",
                "290444709445190773449411871786447713391",
                "252755369618791320888339745509285478834",
                "333718127412925413215057271660784488310",
                "48703956783428948456539858411715679027",
                "195951333778355061620663603786669917061",
                "195166324124845741204011302977098674377",
                "143625149664117216105349514845626931358",
                "90809915191994903444969282205445592674",
                "205104250223045305100324984251811822090",
                "60859781645385107990155050453850449399",
                "295507960697572047667665949105877563319",
                "244162657627901814820784489733743930681",
                "96689692808766590263168419127062991855",
                "228537991663356904450959580630256382198",
                "58230192670274707684386958968020963661",
                "220365562566594895422035531154611983794",
                "58012208745507741492762297137532330368",
                "205104250223045305100324984251811822090",
                "175745147428510737470646828728766368598",
                "237656620400039650637655707917387715084",
                "309139205753451535496449391147940519126",
                "210070629762044900717275606798417896573",
                "333904127156188763731305158292345013781",
                "76834412942263742852295009837764600328",
                "45054983779901935724694510164692466426",
                "214533051652205933091533067568037985755",
                "205104250223045305100324984251811822090",
                "24217160550262913105225673224250286062",
                "261393298491357796789367103720856592424",
                "328445865003389659210999841565836188246",
                "65102097742022328285905599333328496581",
                "289062975544437797612182249129148382436",
                "136107037780832161984094003223448980646",
                "103343397216240891307887278162985380352",
                "188651133356178877427333511909273856339",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "92550367870382018642165657687609620862",
                "328702413299315489269505893843335427983",
                "31123478154376974615272386740758369561",
                "261698341696605803783391057742509255307",
                "278624014675307240582375497028816507437",
                "32657729120459166443339623875731029308",
                "103192928656901071590636869629064440499",
                "188276589837480007082863004946274538696",
                "262037080933601073291246368519142244303",
                "305772964292375631698100061574698313489",
                "90495004074696248080542765350157069974",
                "273789233783095591990129961546328500597",
                "149285256250150326807235283385510094212",
                "324565890704444863318234567604689357047",
                "247568734268089134862820319026124149995",
                "320376466370416419671022601354006819320",
                "224381111912726973465631401075389585752",
                "70314083466465200912027395945508519471",
                "244802121054340263628251867881659066237",
                "243577015918956218008978108891923526420",
                "248503713712796289026801481083215680250",
                "254693647441235559968700708539378379136",
                "135095465618527043226587108939512324789",
                "161786395126456801911021513745836402103",
                "74250889850860129734588928582093913397",
                "187901576856726037015128765735441335507",
                "104819036881235872663162102023446860289",
                "323609864461448700105495203201477043627",
                "306302269449215564584574710420403963415",
                "304009574840521205904318323326730907236",
                "167977788972897333837430916041144528572",
                "84209285230506102657527985043850015351",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "92408203316087084164920197402875446280",
                "270043756219509831988255440084602328376",
                "195375130528919396803851991794732474659",
                "101083449104929361849976131949931692858",
                "23380113620487843380001936596782940504",
                "214068601313343077259229457808075232711",
                "266559835652307381448778982486028415491",
                "2935580295858933586834254941974081106",
                "219620451880741313431451616426639082417",
                "148523558980470181084249511800014188365",
                "110800440673167511412439891198452423119",
                "23770959989429902515709987866963932401",
                "321386671226757685381560559041101789528",
                "34903858311098244022922308044858704517",
                "23245500802008296975895218954276705280",
                "36987016261074064979574222037146187983",
                "192144242080559492754983639443964339662",
                "10517556291708800501097563063854297408",
                "64016901244089895142711435901299392868",
                "326718074818130209419595741021045461072",
                "155841032135302546820360689294690631508",
                "176561216831012377175559816673987992704",
                "332576293785817955809698657085202476408",
                "295338785201640426008402763292033566840",
                "206093101501917737420485337760206174951",
                "138209443631216800617607605686263067277",
                "151749370441054512468477428665001421764",
                "102226455186090962789932649636874676734",
                "86365278112985965952278730690490734399",
                "100037812469097183902803203455388398447",
                "48052018340060063768811575275336987730",
                "83451513606284562276232471983037477962",
                "278347397986082323244370045002095955443",
                "120344996598040993891048064022608461042",
                "323636943049034204435654130620392768027",
                "115861067989884752671017272148603348396",
                "299577920347980917238005209588216733644",
                "12661326601660582350708216175894318252",
                "206791362162539255415440508901033636625",
                "114219311053047417463124802900276646087",
                "167853590285128241648426178595947788080",
                "71467530259039541874253557577320658084",
                "158924442957457487901454104686380689894",
                "109952509886662561310412767482144777702",
                "86625308019892719633330941361001263005",
                "263888993513814565305233985746066294113",
                "204118356102268635739619796280364838336",
                "253277958861004804495275575545967525364",
                "298685186682546645455346380754294827101",
                "215084473401495858986708309695488625806",
                "102190156038373987016096008356529960302",
                "11831671307180730198807626566927144638",
                "204757719562384989771072847518054426180",
                "322825559569819562072063415852151018214",
                "253861922097532192013060577106908433263",
                "264921305262554763458836283011941208580",
                "51959486768025280428293698940611559063",
                "232342420610562237863920659979875198469",
                "66409420589090606361090731880926999793",
                "178685574991327345422182250284473612260",
                "296068556315149923353687182686884075485",
                "170165751595480772338558758269554775342",
                "109821130955902855980669262143165184360",
                "101979690849967638979969555251162050090",
                "265118381881444602264651905228462481235",
                "64169947513522548290603897866871817754",
                "71215858680709829650707572522946533759",
                "141883701893378572489545972987119878039",
                "173307094648931071519370696964323086002",
                "207506989335139356086113889179863542540",
                "171502488075653329986085229935269781972",
                "14838116932567704160063781626772604633",
                "122024697978105504482869903317571793167",
                "56611485595912806843535714984329248388",
                "315681873639419038924958431088877032835",
                "266934626830984279584877947738996631352",
                "125222195846038391428272146908517732296",
                "32403099341856520558468796200172869929",
                "21788195640767436556043694884215480715",
                "202526460221752606130279818505043469046",
                "27480071008951023219524799042716859301",
                "73937967512063795625658165388497734716",
                "25976471606633671251505344786763080490",
                "245132947260979728315338414026723237594",
                "24596881553453085601548712246530242109",
                "111299240531903171859492179933988565697",
                "313210872978736528505850282457350093993",
                "33919142811854626679035423319091574608",
                "296607193402531270516687206554562270480",
                "640482606189599010166987511190301021",
                "272903619745411483610403685717303069593",
                "321204604341398972985538288167804712535",
                "98096683971851280591101186769029057858",
                "332574879055475749530276363799241492011",
                "266824249427872347005401975264412485893",
                "114824822756153012077442165982762374557",
                "320741031901078638499888031808025050452",
                "151803189687332971871446417772735277862",
                "292938838958158164287126772819415864775",
                "237799403328510978452373721515901660042",
                "288922751008124859791920078302860598629",
                "296040375700148826483574348280966002570",
                "286860019631074167725398583468731664758",
                "202165079236753444140293601411412168899",
                "309554795633255588567133691693549412583",
                "311142743977627583083862217273980538626",
                "120690323875473370026234364287071569043",
                "30660292801631932432906033593842612704",
                "37488279329155390923229802284950491910",
                "2348683227692889537365875641324690976",
                "201459128143694373733323111353007709611",
                "68316874142618406157853264994982001771",
                "212351565419157621667442389076530694718",
                "215529086046698400495773163320472789390",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "104109104612253244043165041582845831416",
                "271564134949092438748352792269149139373",
                "65128041570489465716188913084054398526",
                "106700627055588538343746138112116290419",
                "104458198833905166736606657503113768749",
                "216395799871024758433084343376698795027",
                "33369739418448266314196485342809581543",
                "111768557897940040505911578614108948090",
                "26103081454106944843866391575662899428",
                "105825159681680124751938502353232660236",
                "233053508632831252120861201409638667788",
                "261653855811795640736908142398549062610",
                "147060593675533347441707711358662132587",
                "299935072552231235057377274825917995646",
                "76498054306139758457359468878786941637",
                "204272978014719225250489271482391969283",
                "167710052517412766277396705186207723542",
                "166922091057497843109025946255115198105",
                "243535835787248856813770126137322911821",
                "77386711620587190279208732689653315867",
                "251589423988255684801739256492067390856",
                "294364928644815221368252846212289076518",
                "95069295877017604928074624344152611496",
                "147606106767398498839409749420186718760",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "132449509502269450434908922752847543195",
                "278092209477695392529143006021345902858",
                "160357068656143376484033381242469581806",
                "164641418467649862805727581536063384612",
                "82045807676074293712525424439991933212",
                "114307006202239491307439053377920328823",
                "290652998196605520222698298706756499950",
                "121134047639653608330111552509965751929",
                "171103960841422116058437975924548696545",
                "177302859830634877789348981619538412647",
                "99437849868166680341859001066825672335",
                "189517146610879225501034049743927931272",
                "295512726953902212198364598678584651974",
                "48968667332141768430925386923638182227",
                "107095701084875128448583727913311878206",
                "4870572664194178097909187945772475256",
                "92048409062418930937894080735192041985",
                "124875152416394846872529747692655442936",
                "334739080859485155837454486380087339031",
                "173452598811320707777612863429556064911",
                "8148125141766086220731726688951334515",
                "280343574671493498194600016913724336650",
                "115773271372936854578675629615129541837",
                "225690251165985384700489698287884484427",
                "327355997177894933927233383031396929967",
                "223352287543361377906213947896041616038",
                "55414261715368167465935825399892075846",
                "229440233726364073883383364956449515166",
                "213936242795173844786063414289209365717",
                "110989705088532264070402520917397158739",
                "302264643357182116377491038322359869659",
                "2532622970714970075639437052786426274",
                "253311786937562631814577490831915394542",
                "126623239839853179314860918245124921385",
                "11660579361242292465858520895561326202",
                "96851075536505408414428192959965340770",
                "237414589199522720236422338819020139702",
                "239483228525125477989203240610726930057",
                "49069773456227712997460039495844880233",
                "41085773929193745921486203903145639143",
                "77024826343777122068615540842250004445",
                "9095192120974717864848072429722444987",
                "333030855870326741151800918377714651350",
                "81659858800017928671670327698700357980",
                "289593309408367247057357163222210221499",
                "200135729936617669186186541019147351857",
                "269558901990383665471192290527021984205",
                "129479023610516853014764987542600180682",
                "162850790302732703235680411570718134261",
                "224918123753562793838598884519199718467",
                "123429249234685001680459161099348696461",
                "144356765734629410173161808278432364587",
                "276197002004859947663506680347005853177",
                "33086073095062602139586635936614224511",
                "56176573731182952305685524887633520985",
                "299016254596469793160419751190049552833",
                "204529890838593992374481238866952928802",
                "122039572576774796639609831380242377221",
                "275748357993877142515847750692481603350",
                "178224102361865068603686523296578426875",
                "279333908070200244671999937039423327861",
                "235188552416180899302128011099295981017",
                "77720066869031803527622752401631599131",
                "235745705735041976959778396274007986246",
                "84734210385643574429777260536356704339",
                "232164696955861833009089581200755332467",
                "126914662282138295247986801575915202304",
                "295306530914325774186109133170090612595",
                "208155606231244872648097430394549234307",
                "54753535461295878323446812453662907957",
                "88073454556244851829293431608805222509",
                "11077103107265067181379714836018955620",
                "41049528479034537243907992290684994008",
                "117949520488038231622594358656356088450",
                "217990059007577342534638813393291989011",
                "335079838997063876039124460567058704753",
                "195591096707555948195947929955458049070",
                "304171966572329255304640809413957168227",
                "153351230454052103289496487489288210967",
                "49364783964805733564918105153777461174",
                "265443837186344002630198056517222405834",
                "308526948574984803867110930229973307494",
                "18481225937036913396386791678033136370",
                "294884724472221559375795951224956497275",
                "42278371347178708009624575993309657656",
                "69414035230276079459092772404466233723",
                "241715335812582208378553984130795976590",
                "297259161151866265476865293078940836923",
                "298969641132574913124980569845274790451",
                "7164124845673402374740278952896442891",
                "237965279526465521931827190405693966849",
                "31393652996836584194334959202163671616",
                "279633561977516012351673139015885989541",
                "288926397186269818929756923730616349292",
                "310718454273341925085144876393400716960",
                "340058741510044373496810786687672702268",
                "125514116277391553086097225564057664435",
                "67098717646857231364784233276693777874",
                "99569460875074787754994919060815674827",
                "271615020520359046092946002731062703260",
                "174743750200005342104795173889393694502",
                "175183461407984866939427118840027102178",
                "125349489078414575175277753114462990354",
                "261397485590065699670729894843248162430",
                "102010594578797854062437293874604167550",
                "239104967661595731634580572815416033921",
                "252724189722181942298432002328935914557",
                "152116214382561580355414984587025980801",
                "337271278433680920671843586775197389178",
                "209542497953832422833817072755551851547",
                "232129539875925560980416286852103455277",
                "221899907705505294756895522161751681008",
                "114005721743128460642957762194008205560",
                "304530883348572415453544833447387642096",
                "332658628706629918867807015742851555619",
                "255801786684888531680713388922872348199",
                "53739505897729542698323999202470815952",
                "97836700488610708605178098190449124144",
                "3454448581804504387253890688391109422",
                "278490465246118416405411297718680175234",
                "298849014151173474605718837746256043072",
                "39761668231160247456183637014740230699",
                "313406425760642869628556679438880673285",
                "189927320355274728758443942669056033077",
                "70252659329854146123153405021340792359",
                "264015647469144183683185615199156988435",
                "157855875523537971248767950575299272079",
                "278484202873755372240372366008022673240",
                "205309196341585237068075554731330996913",
                "245474986705597590653029246263115292358",
                "255781862092758152018603334141554304743",
                "289026110604240553213839388281524725950",
                "19261233972113969284459773199818713248",
                "203849455159776469331787525019581373091",
                "180916306821447792807916365203848604178",
                "303150505031653787389269618745013831879",
                "158458083478978280768005216261973496690",
                "313820622292290471031884465792409036197",
                "14045488413769822902450172354288346752",
                "324503966358192281171640319057503333490",
                "90313582796397806205539190251566081694",
                "214880726651079056843010013674422890566",
                "62746640851814107166516435596582373842",
                "324235092965967430682003809097802694236",
                "233274594505565441601825624479043108256",
                "304075539678257279230255201123863837704",
                "6965594321646106477265283674762837431",
                "313929578448986140527603522115999053359",
                "212667625502896347258997476929459549450",
                "314563388845189547027440813843300380592",
                "74334109821656042717741342687081352156",
                "65144343525039503509472128312692858425",
                "319451213968799202061348506337361095359",
                "122218291808254113220364475579637586092",
                "227529968590095584161942813160916535410",
                "187680981398965864172743211866253072872",
                "264758522482303209356046991350571706330",
                "165921137033610823457480918855252842653",
                "1329929069024722269079944278437708690",
                "99464965110130092172834482536285790928",
                "19806819900272948394549089787556540032",
                "246204646477314339204067357450480578353",
                "904958053459442452232006105971276275",
                "4111339088319363653542260668174542812",
                "30588675485507489304368789834523445316",
                "223117531515195378435700831380536026704",
                "236397390616710810678906534101202042875",
                "110538814963897840777995992283667971334",
                "201242460323799739615914587980439973999",
                "25830552911171866434286238519859209757",
                "207956433140378858674371116163519237457",
                "240057039141166752038408947606123225635",
                "278489859873639615784816047003299353621",
                "149790609784871670934514086510613560743",
                "172370858210385069324912286993175528760",
                "268780749156645452508369237350442166479",
                "150162705758552337201460303090054306310",
                "220314498906652317860427199821482480973",
                "129021529729251313808021069345835940022",
                "88074689386874922064777178717952784885",
                "223710081118394766833560106218911974803",
                "94771738121328752540631749663205563514",
                "298283889644858858274671946504901079857",
                "330618354721500461758978922692426312679",
                "292094457011747254746175903591963019825",
                "74736204427107429291257781468888425824",
                "10783709296808448719442408000671963290",
                "249371947300571103565682771822649133445",
                "22025581017535180461323119557388397736",
                "49239699433801896592358865223333803313",
                "40579139437076298049717495950374296277",
                "66646295993315385006072723879971387257",
                "122626913607975269187974212783159166036",
                "324543726846747558083480026108747573104",
                "339101802926839482108209118572959534235",
                "151890768737970559888291395499144688845",
                "138855435733928099035223817804572127941",
                "333194367271622899572983439357985264213",
                "104649495733828543936681100780893436290",
                "172605237014454593976343050402203063585",
                "244147821249414567657380651900284398276",
                "308494451629229155003936183266730130700",
                "232726394149813061115252412584735987174",
                "157067045258845345310668198300777020579",
                "65884260399396321105735582460014943156",
                "108980190276597477528188882009720356324",
                "201988687452331104788574262969603296242",
                "92062910958967293731118465467869798988",
                "48449620354851086337276043503353592629",
                "333931863854308779640714067919970884344",
                "169941295965410269557096417851904809073",
                "219623452248277687926209619129545719923",
                "141920143916389572066101615287552428778",
                "286292294498676069549550333794414218853",
                "20106146884401135798233144086143683877",
                "140705366889503612459502697208766223102",
                "108360669292260546843741826080461735729",
                "167184188530258601507876420894256690823",
                "101375202920122525119826090412265928931",
                "250474500109255123390376448141707930586",
                "309900553216776916859157809920040188264",
                "134277890195165984303200226679482614158",
                "33795432604369654482744318334544509397",
                "249505314867363997041014080683905371386",
                "135472311370497460673101318958661086436",
                "130824903882892368775384758719724695664",
                "318931309605297071286077844941331839314",
                "9608376684740691147054492828217787415",
                "55811738561826515982075323535654470348",
                "283108316044541222180872646430347431873",
                "115443799728080972124533615287364257647",
                "233103222117659039581533825554192424246",
                "329920889219855062663611831766970224527",
                "191863174812755299058387255561520345466",
                "79607504612258272633572790063753806010",
                "258490040938542092467352749708138802405",
                "55738935657003502884759289185251490490",
                "339322480709146071927091476342115376448",
                "135754365742269027360240266535339784824",
                "196986700104237707079218344145145745929",
                "135336865890197548141241598924853767223",
                "221055393380480470469637541889192889569",
                "7615178878742393235123315314457023998",
                "317128148997861215766157328895394480312",
                "264223766139579331373185174421368160197",
                "272996678117380759798497631343218402661",
                "188601733994734690428012601738706050035",
                "27857063077915993265975224882715924698",
                "141953746372561930864298028493304219681",
                "284181824313385263479634016878197196288",
                "96660460193801322757532532577459951172",
                "11731693379166948715545237523404409512",
                "185128155430593779904224922559021196026",
                "296332989494403536036560043425366564202",
                "63555892491559822398262105555784990176",
                "311767003932682600070777470167247085407",
                "118340471800856440110915156857968056045",
                "172631872015168599488410242644913974727",
                "225792089556006875590072472854406875264",
                "300723608158037208387826878322394404566",
                "63232224980070613549195716464863587739",
                "114839781038332845115280667270086486860",
                "260397975992431031195341896153761263521",
                "297260441108647441713586754207636071714",
                "270661257804659054667376443742473984133",
                "32986828428132818046260202391382212320",
                "83894263491275119596240870551505222371",
                "213920669997488552360779844066840187061",
                "224652055606867374329598147915319387345",
                "147332604864821594144927660502298526817",
                "274174016358777972814675071994496253009",
                "82251596406379270765703125048394632494",
                "53605842960493902566714586897932832622",
                "185663482965308164932708297935350192424",
                "297081683458420236330638483088081473456",
                "84745681264940656941868380312701417227",
                "226654067050002286206357807378139618952",
                "55964045467529992034737829394038304696",
                "213810196083139666947914596963780953320",
                "335473308666372534040389909908941498959",
                "306445490258341383007148430186808350128",
                "121858872924706000012621186879524799947",
                "328042266502167979951818850977831632230",
                "90292854946967615223255687653631213296",
                "96090777729738797481463686217991292960",
                "31911589427630759293048562883339313250",
                "211798727558287059646492441562885246555",
                "151780894459392330881324268859671245664",
                "14030056952885328630269662188195678161",
                "41867135712025355402187293596768450167",
                "42448070432988437388590439740114273728",
                "119730369438857705620044958992220609210",
                "113428602941897886079254828136108543190",
                "210633997398611981316743618392472289629",
                "182278736878701386350598369389277988628",
                "11909916562733451663915626661733050738",
                "318886933640487737497962896769445484190",
                "310185893246243521268677215076538187707",
                "55959244433101235230604882830806844224",
                "318798422501385817513584127656673719847",
                "120118868656326014825240622936342096636",
                "176931786473512173168753393083325035702",
                "327694634655511081159636560583492606436",
                "95158033453524307092222177556412963697",
                "123873859634703752899884990289648929293",
                "233665738758258724519579763320167756452",
                "301209462940317645446975165226365468475",
                "20521031316079743088968108098323045861",
                "248065215195613916780094046642345339138",
                "129993998711034461901760368783488766360",
                "251028272778482239487563822192294576030",
                "183334574865171132342028278079904838239",
                "31089901749856905023067748077311156590",
                "85625883841690672884085635851268132482",
                "308045340318341688381414138195015758834",
                "184736949336470164400911379816676480429",
                "63651781357168533584961081967535121990",
                "63578754818627932226521879953575938492",
                "6415524519984602107368183732937742385",
                "210201443563177963303485620711050769442",
                "170510726889163632432962551833465566066",
                "195843646023472198456663921982966056685",
                "250237657164486735431262511239953327086",
                "103844684884674370181775977471573553882",
                "253879053050402051892215422532507994711",
                "193064099891257914211572363192317486680",
                "319992724866417512974157939744563702716",
                "307097278980456958927466265152674068387",
                "302349527006267241449532645654850823897",
                "1579337110693160110460677089534683627",
                "307865022929225672079786456805597538624",
                "337992331749552999929651716255538924152",
                "181245618813830236170233264595744599068",
                "256311462387584518936866641341320535428",
                "61154786727217708595277275607081435382",
                "307225721783423575972752952912238824305",
                "256969019825764391185613607412723062708",
                "220799204843744266474210504644965863340",
                "44043981467233152318327945337217185473",
                "135746782927759819928377460200705464096",
                "300314987492026804814053910088386411946",
                "149717138927769935292468827343212476552",
                "29611139143243536866278835796483095505",
                "271850065398617787696655286050094808561",
                "152120000730595591007504304524025127789",
                "102497239176183685270204317188730988483",
                "201944420239865635631341697717988755555",
                "68687288970089579723455239475364969901",
                "303089058286335637707911772310937524226",
                "173900069101519687097944811973734626276",
                "110212759556043446229395455480015236261",
                "223659363311441891788473791827464812878",
                "273716307841302003175994816378047276239",
                "86694846065646872604758290493827755228",
                "20457552928467688421099912792761847148",
                "183189836840812536702508516983863083808",
                "5529936949319675132027345859262492265",
                "97097296964927709312610122483726208954",
                "151058044470444267299115997061479299841",
                "204144037842798876788025391480407546784",
                "92747464793537971242964346557443191438",
                "172351989833252482003661421891935619224",
                "164055422729938116811771999993346543402",
                "131674252355612009532506423316341346737",
                "158212866697386293807559789971020890200",
                "291442320634463362051184720580691850843",
                "278397450887107991049883688515163202481",
                "5036407917685772273162474400168487937",
                "36581134203599306198144837879901231608",
                "16256382625883692853648043300462990577",
                "162910038535859527195970515871788179307",
                "77310759091067483041271121043685128466",
                "140705763503251795702439229152605533266",
                "242057176231975347080951428526916720434",
                "99191483624539931892368799785172379544",
                "79418946668849757627596275078290448588",
                "304557234021855492363447631824127694577",
                "111433071124222313191809620448260143289",
                "270066074813003913389429441644587965836",
                "3391742055134580938538122037592226481",
                "141063965867712770125654094281607208388",
                "303216461419391973271269759972235856458",
                "294555794391451446300293025700930015232",
                "84203490828387967216826172776226352208",
                "77301657772163894942840373301496837506",
                "227923782945680437052918718883534999933",
                "53221372048039578192532197109680825700",
                "153956441386027578878699066830509944747",
                "72764876453383475625811100785731146562",
                "99781758193576848420813479383588543327",
                "225320788255083358554268961638941527456",
                "97608040922805109420495239020656367005",
                "141089426273246842227731111759675510074",
                "75485648472397947657769595884888004301",
                "189593292015964750957665453445367253953",
                "10119317485716755554779481153771534223",
                "250136472216636751031949183560313310266",
                "26416420425450344029166094519368377789",
                "62004253234990428903296836727542102757",
                "159981326128405233949796328962894942779",
                "296094063944690224046082414452551703395",
                "285395113859008862300834002379679890073",
                "62578043942486746062620148603873230427",
                "311261039888252921883651242350739941859",
                "170710184228427302269848609151274433408",
                "327275254533908093460466547622716849772",
                "147682733961180414082234660443998456965",
                "37618679586726427514696676200238596592",
                "199093055808000317397216604464016144068",
                "123992964460971248984028626349241748987",
                "156502958083091637211271987530937274916",
                "240875593721645784459500128242920880953",
                "88250299122460943390258645728680585392",
                "52519277262914696257829354615654951592",
                "247663418834653697833329458692864006159",
                "141336326559418380403914664526558678497",
                "177220205348565315907407139741230460655",
                "188283026386779621444889547703573299044",
                "35215413245646530768409386645345474908",
                "82952401121422072884715660970037024973",
                "159694572972155851165216611288879311479",
                "333286041401126261159811250990494474885",
                "294600587964073861070071147594047424524",
                "174769804486691793265478017198840927769",
                "50576000322557139305265019076424259034",
                "308508687057886781269061874918352972156",
                "116835275724915876124017464652823806469",
                "119574510478956430764445968729381310967",
                "28699267278322320393425579452497732920",
                "60833768944412167602355466334352701761",
                "170277405892969993977526947862787735818",
                "12462399954410576485331476165702238513",
                "291764246494835090007072754568474151334",
                "88205235774211954350094544762694366478",
                "17772359792903332934671392537872529823",
                "186196238149307431717024042498750552558",
                "303577160225873264353604330282272771143",
                "320989966440690416958839442583197509078",
                "153966327476334380104112345907301538013",
                "234303166451981327403023559703553088986",
                "42982369631077378036154291100833825999",
                "89731181780057432983371038319450613171",
                "245971910735137061624088688208278574274",
                "256324998369812496955187439825821061143",
                "284828391179807961116962431896271536218",
                "251642763458951743118271510673312119556",
                "311430335797942128579433395042120024391",
                "263701101985578002908396575996191529499",
                "201407133943070266763959542197575583130",
                "180311409320756273284605973367950737839",
                "67016363793507235658624262981412064580",
                "282468519596113597562181067615623013828",
                "2373534267275602170972324537564068270",
                "293958709872056597868694628535520695767",
                "12732766610162613624560565832597328950",
                "291532209998163642075054402137899501883",
                "179553763862968407694288196127315303675",
                "258821049039673954250806772860878113004",
                "143355251016588371903251975760872988267",
                "263841927769015857229312852105909688933",
                "17053798328898054293640967276038471174",
                "68367290433967806404360607683884145930",
                "286914523620368618522982609922432850466",
                "234433158068067912316856697602799137618",
                "55842895421927716203561813182663590299",
                "107740013596117667427051932418639355030",
                "3957871490352119610953653414574324175",
                "145799478766637332891801198457290711315",
                "9337099291231516751242229645772348399",
                "244075093314240407263511419660632743938",
                "81270502727389674515084306962340446437",
                "125475079356034220892830734142689570716",
                "328558260141270317059171580778365424762",
                "192399951046670610086407216735625339192",
                "332877072565870657686720437074062278646",
                "315918336357484417063024698515761095309",
                "121446239902211609821422973367996929444",
                "211760393699435223574535433920686735729",
                "300197408220087951544111034317065291065",
                "271128348777864590669222794369633165050",
                "202986700356883814166917467321851471764",
                "257436865191018926783418138185513055750",
                "332304636858290262722601728224245946440",
                "295363375523649993199916933056043778906",
                "240109632604123002873394576547340795373",
                "306790941242562833902188734463265050497",
                "65302126106878044875751052832647131643",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "243998950251517745831996172421401312310",
                "38607225462040781346638588619529735628",
                "247686422600593753565911999684791859032",
                "256896353475435429688779753453660979409",
                "289080163246159013092028738421967533254",
                "253833075509294653780036067808213499455",
                "223400366422604547370819548900390506133",
                "111445313509729374482048778537283066599",
                "307791183538888333550721928758000252533",
                "237148629133173688468269593838907621634",
                "34113096850803817120108800375353420955",
                "299466920249243646962435728550790463389",
                "313109984632211747484893469479284759471",
                "168668750468312248362594441930305636699",
                "36201985066286712892432893029444625447",
                "44179157995839162045297922903866925240",
                "12571058667272480919793064762969999834",
                "94963098087350084456449738511641107393",
                "88872503102252330458429019926991680915",
                "315288856516691189113348868237593795058",
                "266101533260405738002157038131300478316",
                "122911246479106371879116342526159751585",
                "84708893640053443409251049030492089553",
                "273537683020124175534631095501447934541",
                "27156384546225218401249620647992050888",
                "130798594367209533694268904966707627283",
                "332279382668913905643570161227149117692",
                "125830188932023251710380360852850055573",
                "6854976264129927207882140799091119453",
                "123494082242937389068212216032791201332",
                "247289150735406892453637851105670341401",
                "330168609197578258762102318083057562644",
                "71953634846534556621822538497359123075",
                "208387858190910174708956926051170817924",
                "226468133409259791119119673894069340056",
                "37026751179532621782636005115592480723",
                "183824258879631768821950040117402874890",
                "337965284904311089845715738315647796878",
                "111576443165050070098415365142574709540",
                "290041898638063451281520426610104956450",
                "152005343360283627713886577825923018963",
                "148582829525496168161244584108573686845",
                "278319591702917612394656545455930164739",
                "33643861051058943310335495830807864290",
                "173521775767895724519780205380234487410",
                "163355640164781287266945138500240346985",
                "266179940283096355743637289898463805548",
                "76973966099441487492046773839770810819",
                "36553116201439224241037073737808663520",
                "132043276002569138874806366978752327949",
                "100264661516686573971990965739223012954",
                "91914304578998313288431595361229368722",
                "177442313348228366765284874193783513311",
                "186435907363053500108392670156894289699",
                "7191837946844167541370914565241084085",
                "291537523047632713820069751075440488797",
                "202899029916212336356809797537144580510",
                "143717641263843586076726700902274929311",
                "33235498244722699767702076412433904674",
                "257173982425228099963979425330986173987",
                "104596676550414573726241418001820577454",
                "315109280522465521407909209091918916197",
                "111172438413735420241934011800590355440",
                "107695201986419741130010927930244000858",
                "180406915032144328197679587221471863335",
                "171561404084569143407621771474398820899",
                "45614095645717101923038528458756879261",
                "308498568169350582558145495734311186673",
                "306796408807830785376400045363880254782",
                "218204037544894316172842898847099206248",
                "181641067321308922060309812423583131479",
                "43838106183458956772520631850202224412",
                "133129820566672537876163269752142570833",
                "156796205608729144762241487683882478182",
                "173556209977043868802712138878652436788",
                "238348162197082946584405652635730495821",
                "334923037326656355385381459032671833884",
                "207750578090169761675166539304856685517",
                "110890609951314119473158543316760831272",
                "316655836682104404045123171758990553070",
                "95681219160384876764491571804439973667",
                "94618960152336012760019411999007075659",
                "107660254359841729060531255628523347945",
                "63398420881607152534100516255801919903",
                "49588176246112765199101837225682193585",
                "128522775608014480824074554420882851066",
                "340133500746112695842323537107963682213",
                "254134074600824227592784353588851011049",
                "58484719392584181402178458588964091292",
                "47266734648066302679682936654082909691",
                "254489703667607775964070452877915261088",
                "130193786764522500122189512379032965216",
                "31171491520276207298443503467268056509",
                "9091566631289548441041761592197614301",
                "247070869776026618761267587026623672299",
                "219632204130492718856027508174913589388",
                "257605622307846534036658417779835788634",
                "32460968067268911101705399119198920487",
                "62792127900075440821286783399944522557",
                "38602639496290311449641088336766716847",
                "176474452969908100655823825349863057609",
                "209217833338428301072570895821640804917",
                "304790966398151961428449386149128130852",
                "123529461245847517825742894976162754943",
                "267349555166191428265196724582067771309",
                "176081442576592066493914048543138647896",
                "264202349151469920135680805484133507308",
                "253434694214195143270478204407771506268",
                "221838892328643167066396592212786777902",
                "228314856662085981680196010599688496989",
                "47122659104440997009883536908637636614",
                "78863971982968852162302245835246715184",
                "219770971710050139506796831452023945047",
                "144201751846868483025451735022520491585",
                "214089972040895770912784733577458214835",
                "334862576621501664140220629159123159945",
                "296827432505543167770162774457860134566",
                "37411800943260269275733027567531110965",
                "69493384978903531540854256285502692514",
                "226482587809703736000051626496759611948",
                "156726140214433284468494153365621030685",
                "90277300612888868464139521503192562511",
                "241151321216217985506676810597589157139",
                "240829137365531685673210629855489985360",
                "38858979442909537007238511978193428378",
                "300985951187823010107060165533025888672",
                "210038717943682258683144282734234770708",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "58978145762311659331235973277175819950",
                "88912223937674792885467088177321611815",
                "80181463112454803055768904089890246106",
                "100988348420285351996087113915302842627",
                "34927628219065505450262590108513602357",
                "318429030549031666309901923827877068143",
                "179896163202690576580300896856732326604",
                "203387406722976024634550197878207551872",
                "242111561587642670994251908869858298616",
                "73915735272389304925053955441242355653",
                "285153383794502792028109662656433294552",
                "87168362277578643152320607213410198072",
                "133181553695867277639851939474123075054",
                "286776369139121509067937574610177306380",
                "323423312887751922098495759093861869897",
                "3140292785880181333362376692440524905",
                "127696432349234676506267828213689302464",
                "306848344827655230959359837327090639380",
                "45001668445550236782447756993944061819",
                "244689311820921308512102555776935229285",
                "97289710653889344250861126837335821011",
                "322749836071977164396688172635885844184",
                "179371058696640071881481945669703813337",
                "157727111209209134902155805809253444799",
                "206619187684034941267773754261547296117",
                "269075083196593540659829252649212624399",
                "258751558851130678423157013980939384763",
                "333791941612812922667990812115301841046",
                "9894595905144921185357327445394476264",
                "149618467885836961784596935603259181508",
                "129221847491831334860766186618807153998",
                "318654229009477379498122682278784347281",
                "221653391813328840129571466665520665377",
                "323053026511420380628594252359175734371",
                "225871153779175491208209268355059750456",
                "130177194315467240283542086528423953528",
                "223987484015686693521664176796966016935",
                "306574654092555261401758529868148712621",
                "325703432490887687881244887162420470760",
                "140327381170068181168509331620764230783",
                "84437512145810436304006212233412194843",
                "2645769953425003241971425337287015707",
                "33116365347839086347994247157380008530",
                "26371781842805726223549632435944392580",
                "338720368105650090581718772721620024940",
                "73574160545096319375977369601235930554",
                "152677617731530946150144083051690492908",
                "196644316023121642558318611829230284225",
                "15496761125137459521666848584924024089",
                "34757007990221968637748672721069068784",
                "166479442445655778095119630924570585696",
                "11629626195963700489871339421494582740",
                "213786158971386851122511897959295648303",
                "292263008676338018707609425038526110846",
                "206513746681710234376317090021917771013",
                "168424496151514586717909029031307889044",
                "283171728146514686409670100788149321096",
                "4881691052568478938638407536719376500",
                "269916440867422399749745048344883787080",
                "174996178368381992495083113562280097139",
                "28056494731516548854009843131610545426",
                "258730665082372315313507180611918901781",
                "272305458391264590280360673992403676048",
                "87852479606401298362295716273137593413",
                "116501925926771920789639635953921551093",
                "147170355109724076305991306687341333533",
                "205738389822452711521380451386297712701",
                "241977829587129388805575171143809602804",
                "57785725893328011058343295216796153499",
                "262225095918822626986688682514113060210",
                "143584785089022347065356575700388748395",
                "78242877019210094870255652447803092666",
                "254626513218084495488642348696033489174",
                "118123961611499118035365141927242425792",
                "46576652351875460747977940683767043231",
                "157048546557727620309237608967306390831",
                "319210812814528787513836328873902358517",
                "74995671601243654530926966386322311290",
                "251842311681949755046507428840896430807",
                "127037548825838485475350078724801946005",
                "162749290732588014837096580062653884076",
                "189077541605816190814603283648517639975",
                "5655240229280655751317296499377012930",
                "296073540964735828801543245892422934877",
                "151361722242488259611600344458129586032",
                "7263199624640242837844091337281429282",
                "11673361567697307501262674778597634920",
                "47471744370437625116231907427165322820",
                "311522638750312656886437723632439695212",
                "327884912715468786810315739995173303378",
                "63077591466974707834294356880190572318",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "271862284454631579284441686665972308592",
                "228342480434426486967255277975055311234",
                "162775417267863366386530619671448374151",
                "197454588044364528887198074157355286424",
                "300888564619777252685247256021204344470",
                "139783897210476265589886403082906447201",
                "278517410625757274085168351978937596096",
                "193856887067211672298580484719186314672",
                "157212228332897989896591758234207489674",
                "180806455420856841243949996140798000557",
                "143821759638747417938361272025553004597",
                "104381768663616557359845040070212454852",
                "138727190368453520697269135801509699243",
                "248839993758328007339720273407182727888",
                "42356864103614074272516382281312856493",
                "151690524697036250433702557026054088855",
                "22805180938558308366545439241621825301",
                "253139481865154809377713606167100939091",
                "106596777635038869771477516832403495493",
                "141521241861471455841184219429096877597",
                "289136964671961908484542407706968899919",
                "32476974404791409467586550686461351850",
                "205543297523553377872954728310618863699",
                "158901763162091730852024290906571153160",
                "184572863787977780917805026005841911279",
                "149714057640004642936767777548379827697",
                "255214140044654592390338315057312350667",
                "143097868728216911587778688444060298173",
                "255755426246812442123516242039469688344",
                "121206952215108761615503849894947261608",
                "333025106354161366734006247165909715008",
                "80886570629680220301164627688230251715",
                "154351317959981720621515636881743795417",
                "293665012859345921925737178249417719130",
                "199958382579569056638418242798352102993",
                "172399991033581324035974928447051860981",
                "265197566902764296912735264948212516819",
                "33737690150821259084508796642910645022",
                "190466392899290491686665179306984339837",
                "56108348356345533124561854745934097420",
                "165888133273112250082552077050307833368",
                "58906096921950179233776018297840664256",
                "229893299410112772058132977807119557202",
                "112902337148464682927979700494535508809",
                "23586123806115760822887068371635049875",
                "127741831593329944215077579110813363814",
                "268749205706085131601453172055545060671",
                "223872070427795240580921703208120754037",
                "196481095459984282562208181682080205962",
                "59870740486309886412297574586386654465",
                "226612722875125373942312682308337301148",
                "251168629294820935693270601929183748077",
                "160969608595976230772646186009001464715",
                "2402461562586327650578267809386765642",
                "139589390970531395779402593945637313867",
                "115863251339187385983093054430160876670",
                "316022421738771700241506752958754112564",
                "230395174386386596602877266808981865873",
                "14653320912192444614294159399165993855",
                "90422560945672011232293007241506102357",
                "230161516644771794991136124054753059801",
                "185412016918519496382246277001336058162",
                "203955909621509566024827224442020746670",
                "235101182394312513565372209325576003973",
                "145628684700284709355907948772663526692",
                "44051400666741881540697345892703241829",
                "117547904557138608209587763621878563087",
                "306035432215427381399142732714864621669",
                "62721280023124269159191304302401697231",
                "152287339231705885125897692821531521973",
                "73831508425112382393342895597889797826",
                "81755789419745072585378878771747509637",
                "292493350590165745923477121329900986175",
                "44651630128548846819178746692851254099",
                "285526635572969411192296561100141687818",
                "318844078951236248346893583750594487885",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "287325609824066696049256216695139402923",
                "145996383506569198579363902537368481162",
                "295694459584697187269540272348104203708",
                "10482916495505423829886593546101026016",
                "153185938951263535159202206366019933630",
                "70299881791137755342114841917227651386",
                "245346904405699211314611356571919261810",
                "134070880615276760566047737737463316574",
                "112579111353599201072892514170472560496",
                "63398270346994813765335984992252063900",
                "61583886207654569359415331815888360107",
                "272382366073986707507414549141770834957",
                "250048541614372047063248852275357043493",
                "252701242569965490665499789474253838084",
                "109007756249352576492548916122426478940",
                "144487158998655340340359458972411717909",
                "226916808547326516696753869663849947710",
                "61781172833508789175452381761290101265",
                "127986857940507683075521936365597863255",
                "76838178794151715592970574511569934231",
                "16616840986059574633188223920882341520",
                "333003516780190367409729304092855017097",
                "326043318197344705386428592525538978354",
                "158390258116810327053179728489813098346",
                "130092453832940386927348147818783894915",
                "200028203223816024702980336260080611818",
                "146448602255258486783466075152595374671",
                "106651655530069480893011533125592916586",
                "114027945295810605507564036162797053607",
                "251786722310784800618126064506388905415",
                "292516614056748073749681371075032491016",
                "288049893550172734549322797808166265390",
                "218608200214218318885751518490404556202",
                "339826689415336990591054723009773018921",
                "202151171595032240672245520313069022509",
                "38409648506527180536841966817490447313",
                "145481965322026851651855938170771884436",
                "198708225950982143490318529527158043391",
                "56225569221988170698668309720031072551",
                "207221930513166914482115796331142078848",
                "129996764441819882055898029101556665800",
                "38668869622459253292892141580542638310",
                "15112934151861960924089238039768170468",
                "202714073501731106006671852411518272944",
                "285969519853444201597233871568115374175",
                "334350067706085053044454020794088949942",
                "115375101466556176687611569816586441020",
                "293422444281920767915379366593675981647",
                "158925891591727930369119294288433120784",
                "88474152669549866033533268788255001242",
                "127765242308764591677216050520818246082",
                "144911173956908189748597354577357527265",
                "273487156368219683979349364631541448122",
                "187112223281367144013429142715009862815",
                "274651362795380300935885993457526553951",
                "200716487083320336984662655023150615743",
                "123595153024890854710735570406212064347",
                "55020079676990294376794661041303317200",
                "165670522652251088374266929722821167776",
                "315372538019962609391771913364726082237",
                "72069103944176691386809195337148899034",
                "249767870918791555813728353102756133979",
                "255562424736886083795388252203535845174",
                "46500785726364135426905237575870224340",
                "271609743431406784359029450438707903510",
                "296979244697231751495335080111110332031",
                "293303702852336552236038279998983948625",
                "329921139072133565223322770757491488781",
                "276213742121311871237758248650518575752",
                "192189648314291712343936763790610132519",
                "263480445121094006313848388863088010231",
                "185430104599630950951288152879135084928",
                "126941855207634495570985980629678421603",
                "283619447113591781367358314638016647806",
                "325476536304839477843044761216694255958",
                "217152687419229518069729763378164469928",
                "202845608872426261108374313628575338927",
                "293645622945117101775849407697869143129",
                "296594484922232554032013611006568069389",
                "92441459149931498971823623259040447751",
                "242866701157292720699023250146654309132",
                "330167058166963706815053825491174202608",
                "280608659990943880033510236120471498454",
                "66701089390979389956403814158206601371",
                "299147151497897891862217509838214193721",
                "308455617081217342396298117028125863590",
                "288351287753226228696518574122219215062",
                "84485523273849112415310396803646154391",
                "22108360251142771344844524066595642231",
                "178905914439228103783310436930791083303",
                "305467965063444224781973077989940740723",
                "90278357489526207239377740624366800519",
                "292179593641918460133859916248712903228",
                "175612843645155042984953694998240010977",
                "102267315412653967765927539664642252860",
                "338335345956911052429850553297735186517",
                "121635285820020742781847958644533697158",
                "257562774824387701365520158740004138768",
                "287412472969368194685060110085363545035",
                "185018634596198973907031826542775312019",
                "7867998576346174256635893578587860732",
                "205119746455611449271530411985048275079",
                "102464671902054424451941106958738181043",
                "19467385069749445768698813005990841488",
                "142915475226366150211017760388580349425",
                "98212401555734533508297786837554350444",
                "46563882754302498623993400830511071091",
                "299688022183883287609787510423609727416",
                "299657314926121721284162479073875076737",
                "35672628327536102065666798867238305252",
                "329736282379974518215453189573865070641",
                "286248596446067809401280821155343592468",
                "106973112992832805024606035942225336686",
                "175887429806985707841793818782212115408",
                "30581097978421148145230988627320857604",
                "129990995691648750239864515560107030954",
                "221835525775475213256268208209867422040",
                "308353650005106005752364164041846700786",
                "327157070713291278213560825026931778159",
                "295481282039554927052433969797853239209",
                "250724455940226376295797270911388545716",
                "48755286430097888242907154883090025155",
                "329362738387921613433631279278840276803",
                "79009871192037772573975629062182343773",
                "34981212611262606877459167918296264553",
                "137747932650047820126587348622878092549",
                "284071254292152258169729600772965222675",
                "71270522877946110697831832747048787345",
                "94000812177568474605851026496455702981",
                "951779828167996382671578679914577441",
                "265128899229359954999529420756661577096",
                "160296490853970858338245797736392300758",
                "285538204788161431340644947600654349539",
                "124225736046991368723940254440647835047",
                "266229700753626138852844308261913474630",
                "198803249595671530000153683980478381802",
                "290341358077343223622262806238598248694",
                "149335213170584311375174904715475969075",
                "147874146474925926738648169081752831339",
                "250903435983447366466934041176978082165",
                "111868153812438150421260360185040123941",
                "144861234856707010997579072663233083035",
                "188374336993099294075744626487439095152",
                "309173140128651878557053917416314154783",
                "250320463651830966227035793403168092268",
                "224848854519325823575981588157136860336",
                "29408805391278538498919438030326057784",
                "38795577709682598397840782816278673260",
                "51088034960423813910127274377612479041",
                "158596488851491134526818950688815550433",
                "81258745928582168966485573145586369462",
                "191898184784512009135389596140239842551",
                "59589001078051014602163806554529584604",
                "187408790131683105776088450486913662176",
                "89494190715337789507661522621433226246",
                "12982131172925351218873297397368529306",
                "147489052334737355362542720927271534918",
                "32371912702300712014901334121867541873",
                "139865909433594925442115587356853391106",
                "309953503130696023386851966318660664689",
                "219756197380335285053321477913486242797",
                "49147484821041273236369644029464752018",
                "244195096178436123896122842380491156973",
                "53470508964162552348258401305828833031",
                "83563659480381708581075596447080776119",
                "43230565036066315363008812933177043407",
                "14686438690204076144991050664833908156",
                "115480220709344479914463025980548103838",
                "661048315700967824706508682604378843",
                "141268496042506405552780916410420248473",
                "333644431234417503473936649234282564189",
                "119572363670059463894379161279858032094",
                "189738123780573215167322196440993390662",
                "180378078292119980460080519651529963447",
                "283353535538161378759519509101289598736",
                "152486905083902851738525826598538633528",
                "68436398430331374689259453078358365763",
                "56739118916432155089498112812130549017",
                "138438430799737460181519941193641019457",
                "97228953856728147860299076998797778658",
                "205419715696524709916195691133449449951",
                "7776671296976948154106405912221003971",
                "52125062556605881575262138473560718830",
                "260418639942307765386360085860160059101",
                "183566764704508258936817701182751923670",
                "240597682894941848070298382602825617023",
                "259625663720011382873970732785388364688",
                "140120765510969427906969563654749360730",
                "110774059294980817462833462397754175849",
                "206389691132504195257835123392811154818",
                "60642393741399074639799603468849945815",
                "209491168227957001645134207998539609283",
                "98161347896046155960106418890506918823",
                "102674877861429302692522948781076832919",
                "128712546191085373876133077748213604582",
                "45693403235839283438391372794766513643",
                "60924766018829952690769721756324759510",
                "153216650494367851225428266868759417772",
                "16824488980601412555430505086522658249",
                "240075750501379866470338976294614686532",
                "150971307302193521597923711059993607339",
                "170258027528473086591633669781004825609",
                "314380408525733360105210244176353346304",
                "227825156233685642918333586669569305976",
                "207510292449794741374977915333248877970",
                "254629795884411148116964180222006931706",
                "145267164991720421353173313992603273223",
                "132650487722628518995291508657550624409",
                "174862033415982135206296451878460451598",
                "335963532910028727771584653235879743827",
                "334962397397835374064299818944860745187",
                "283308710903269916742924050215330174264",
                "68422744231942541494368272869183370230",
                "209824274312489122539474258665580730574",
                "174164760688178213262353991931915905336",
                "281142727521234964304191183562287126843",
                "141802120721692215649102107298758874689",
                "324175832397914309674321257035593350002",
                "228981805553004070964177246643356137753",
                "244126547247255887532099301382125222899",
                "98904167600506615895587970110367774629",
                "250422886830901113959538482618558874142",
                "276310481920812923347880535392827174179",
                "21123317896706708281272921023702984308",
                "11966055764892523180396511872337216837",
                "277706414879848233241383310451593559607",
                "139130829508051938367735047435304524339",
                "323314820554110866350809047533620809414",
                "326691613906638631871374437469699028525",
                "23865327463121875147292899270657046871",
                "206804313452300405872319133632997613352",
                "106166435414123711681451315348171698744",
                "61641115623324543295924837982348183626",
                "240316823786535922567753561190815381389",
                "125228239774447177478786920460855774087",
                "113533850401681998232706915780623572641",
                "159711510437410314268416561324109974646",
                "169406797744764375357001677533955533388",
                "87379996444134624493637106828836603680",
                "284541807301058994855981634042233516480",
                "339009687908237810981203628684037854950",
                "30507710240914875873499911549909448678",
                "127081478431879204237619873216332978373",
                "251225451945393170677299303507460694165",
                "17757152469331255215283793160844820721",
                "332537383905427864983491072990374163288",
                "215751175776331641388624468322099553017",
                "296224358779327984311488621437386272480",
                "172640119131330112646174987486659847419",
                "198407762200624806163450626961621511105",
                "284628715167223786943226628966010041645",
                "256012141685409592576556566571033094228",
                "225516480600733553037309801416150618050",
                "227153972518316657563869006194666346036",
                "179986475625408205843025382230727218424",
                "292922115358375784800292589735949360833",
                "268682738481187977169747879775557587885",
                "154139544261535155206632456541213523199",
                "181246910653900413221755789891004217477",
                "227332293876379711914938924739016851870",
                "218866615619287954459817454602315990447",
                "230419111021568041378274418816489546189",
                "844142643978080386500751326241024737",
                "259862603587901686182195747590699495554",
                "184945305379810336581841304675653714309",
                "159449113677725346840370887660359776156",
                "305142228001246770471267628804830969965",
                "271053609477952454210757141923882436677",
                "86695636484743398362294006471266279791",
                "237676972752370707317785850101263958461",
                "20687110906142420185626599977869498748",
                "27282712346853033667802936323909494442",
                "17327942634952350609698266065125135254",
                "222476643103764947025660839089551482422",
                "161573043269015088939232894483258124084",
                "34869825851123903102972997943001112523",
                "295614365387810302839571944936315020373",
                "282259435738184354040513480928999552205",
                "245369823724698478598680466397549851059",
                "252691168538754292723597585047481995974",
                "145440971467926956583799121538686152985",
                "321654706156769296229897811363163160553",
                "312290195941007483079571616350089666757",
                "211356342826447577556835571296170029893",
                "34696634654665318427033872452351387581",
                "193000581618450175579914990869295112372",
                "52532560334819702321138355118240525979",
                "168151368544476187986492100824102418302",
                "172565135447351450176290170824588667914",
                "339522142462553877638505741382849661102",
                "313310563299834912932285695046671538233",
                "276312553937803105603357039394667807452",
                "5953593367054453610001988344292556149",
                "270579553892083010682384850840332581492",
                "253385554639780965013627628808774080235",
                "39276937987264378221559397827498751949",
                "257182028475823741096147484001825828243",
                "153363756148280574248867724600044116158",
                "267432766701635794679153431684444093647",
                "180380092074985339309933645357382476325",
                "42059085296484599803412464625517528803",
                "167788685690898354311507034916343330758",
                "95818932846683810933521372288178085612",
                "68001436783434481781770450950235933431",
                "148403354890619010686820633769207871535",
                "315285744956010838806815429435883885069",
                "158626180856296971987386216553996646106",
                "108099518236280782931371176549964267342",
                "227839471139134309873490987825989624425",
                "203161038955362740221598803792110244467",
                "101718270044031392691246665478215181581",
                "171040468145404075821861208168556995972",
                "8373680028298147858560332656354290693",
                "271655133750589221580102614793728494370",
                "207734882757369216432150748785233769258",
                "312289528660211430087489392243841170965",
                "286390783375480961858276125066179614908",
                "285177676725777947062597161797802324693",
                "223487651423419558719547074492108962934",
                "252799169466573600459841410499627706679",
                "47490409308211068294844092301896589993",
                "281582438585846396525609022793712647589",
                "57399217253243302474893056946974901036",
                "191881474396941071169503942799001868975",
                "275219833850395637309560535340233078588",
                "194892257047944482195587443189039822098",
                "43859642134819262560312033560001540902",
                "283874416321699405699778676471871610062",
                "239480939012346031218685027060166627334",
                "177142506301131833412168419244832865900",
                "51225519865357444159586110394147835064",
                "116997944989558535655081026654887729729",
                "198277749274485016668294799325455596361",
                "194232601707567167614368408939302271709",
                "13341741780452229742866460066151287514",
                "330604880743644377071751063944926179818",
                "21519366004601225112739586678044566006",
                "111704583588897907355217283961757029779",
                "168740785287417614084440644362299580176",
                "61130586153544947359226623893524310413",
                "107688818730785133483959341217396729452",
                "291209244362115104004930845129549907534",
                "203152942382046966500850673027597715874",
                "246071821610393065860618979461472978163",
                "191286995470432595105751453716465186501",
                "110371225048664711379046217213988509878",
                "225593955450410164756720866211383024069",
                "171463870462149101290984195228669201588",
                "298684025017613452504196508347471812482",
                "100047052131972708097570008269061465272",
                "129879880547570742899808707465863314731",
                "62932985248715725710459732450748523631",
                "22980599195853990514828945212381068736",
                "103250005384602217720873577084500438903",
                "290680802791184205474938865302635849069",
                "158605517402301798316955259366057156103",
                "95421230822245702789821901710152865092",
                "174523817473055210816182072039328276805",
                "10682463632957132333538499162234604367",
                "304588378743965070789497691471171315562",
                "15493900915298837759555866439166635274",
                "58272233693437336695970057339357930532",
                "152706250115491888290251105656471919503",
                "280947017636394726804124621710191217281",
                "97376524002088425697761239543827672433",
                "241146189220949140289506415482341529562",
                "133643660787375324895576337517296908226",
                "64430508680059329792595467432353476668",
                "258930619379006236614047023493275373577",
                "143212810450070362335964334362651657049",
                "97771615316294449131539540984731762739",
                "173723807501560871366516851404696421516",
                "292765354586971633737694008734528451666",
                "197126497416061693088128323553023200814",
                "242938235663309259299372325435180655034",
                "96376475253207384444650515999273576219",
                "241367927951570200650057332324673010758",
                "334270499675067025253893784510978373435",
                "67802918309318306898634876736989635633",
                "925218272499860282633392120027374594",
                "266213357538250575583553069825180447500",
                "258390118572430630488866114562572224391",
                "159605914517649535099842085309927774981",
                "37536747277850259416781184899240475632",
                "215936216881534351631306525811322162483",
                "206605453358116389158237286267615491602",
                "183588589185980411552394988805210313058",
                "219883655283847969421031924152282829014",
                "239635137463285917301020958319032564475",
                "320698451290520435514126282524835978224",
                "339654948933828587305875145522728682962",
                "131979037427874733736431850177677149501",
                "175667833728633500992099475285603587438",
                "95492540593274763898941745026016736135",
                "264467143980004913975304237057678733071",
                "220285353810639426544587066507205708289",
                "10745004799448494472420103610986603493",
                "123414478060342263770546785350933320521",
                "307519135940174437258058172618617893447",
                "233753528015316823816187024899136939620",
                "31330523584535511206675464249546506040",
                "257263784930686349334992680717692456647",
                "61431755217156204526880885190153855015",
                "158329829315602203994163960925812475619",
                "255145839262829083853046254419657930069",
                "177304981584054013593597683489807876109",
                "160930357147602163408519092170864211993",
                "158988369768360433636697011185014470704",
                "204417368335968085400693948581802949252",
                "334687682785438463391687188029281061186",
                "125108387169217174927527621305016145534",
                "339803320522201279838454666096396120631",
                "262501174031034026506595618084145863302",
                "329868205978798423605680674479211573766",
                "160205938332861832585234107694939562128",
                "313427433314174527363628535908762249732",
                "81043627263082251610122329509136504146",
                "253187933429092637611700618853560684016",
                "316578411400964366912854278570174868528",
                "109742446389723515633574713035520259009",
                "280949196447263249557991520586097041685",
                "117479303973200437209549516428079494413",
                "149046536816446955681478643911875563298",
                "40041340608119958743405786520292548649",
                "308552083350694079490551339259885725627",
                "326821006091416029507585346239274545240",
                "200631706866649703978954826673572888754",
                "270203785451192898486642010288119766027",
                "168008798123435389153234062884744745504",
                "19168292899902102136360806355592149024",
                "262788597295482683414246034799308142904",
                "188368610394170642581587116914257091015",
                "103486410779769047010351920099789102376",
                "37515882669840694544949245458242189489",
                "237539467414429663737674255620340164439",
                "139098207341388052762577748766415221002",
                "175545872353218324549143386579959663025",
                "269478408091136153280693846094952471578",
                "239145845275765265960518116212778842231",
                "335655938240030304236546864488859378680",
                "53739538152950281305166256504943275355",
                "208317132041628235618339480452241595896",
                "255675858984075845416875746245277367615",
                "186574892451234905382182759838826097862",
                "237363702229957804201885169164699292116",
                "210935248829608752627919490406502740345",
                "164354313719169292807163451144150706978",
                "37328426106911828738467389285191360058",
                "94277659974192164687115846222232763951",
                "240013292070759286364906284697389946970",
                "302818325337316326549888375880055506816",
                "320776652179953411431169839658664171195",
                "100040946216224184850097702873382035326",
                "3564820852158887888545392574984947757",
                "239077723638000050603450576188172346360",
                "235784360342822355074859808450249581798",
                "262238610774439634928156519388473759581",
                "239936915817792489315260679549470589203",
                "289127903319098613411768213626747880486",
                "268742575219805438426235708679299233646",
                "35219289168093343163441162040498508250",
                "320849353308772550459450640629161182280",
                "149014647980894358182284710221172836847",
                "122847227246584449471571646789670428184",
                "103844820438670252025196682122782227218",
                "15947324878980459163863580447932340152",
                "259132450499880714549043153245432947488",
                "103274115210388403286401802303458033187",
                "270164341815464655635197795713471016746",
                "255439920133524581919993735178329472259",
                "109194033605357044564446721327008841589",
                "35965360910477551503537574904988795558",
                "178468523096748998124855526957153534257",
                "133610763982956867131416411050687324314",
                "73457520052043237362746100397955599846",
                "41987629980035678434589845291571712871",
                "76946233362948750515476525961937389990",
                "158565273199240686368866688756115505324",
                "17004210879926261154993658646295176277",
                "224175560956406975671833090866146931093",
                "304587689010892587266916395855592218896",
                "325965626715692354507360355831769248303",
                "298889562390607946695913431998846293405",
                "60809194349946730158188033339822710721",
                "171856459332963432548020569549125148109",
                "157829257348512322588251468656656365053",
                "335716761907910204143618797675879785722",
                "252085319315152379538367503686292775553",
                "300452890542879365864954263756770627140",
                "153035370212284961466167433141202301039",
                "154475977643764567362610927818176500864",
                "33712869655675298486952004801256870740",
                "150886501310562778701079409884751871295",
                "2357979129089123668308243391181196990",
                "72056388027133140497031406762616534213",
                "315287177838220506765947931420415015278",
                "256548938448372987672848002056214643979",
                "324086639213821465256875883744230309968",
                "145837597588448270643477170234979019776",
                "265968240967070996344388650556270577057",
                "210745553481162080859000767164645808493",
                "285473877998302763626574382069553885421",
                "192192667890581910274121954854923219765",
                "325617073841198476237909401760398786761",
                "185228374916762310973509055702309792569",
                "308402961818227733298711023432797160732",
                "150528061993065737310632187844631224728",
                "109575503916698428746000277446408154989",
                "196656916613618226352740927209654355610",
                "269275401811367267906145390669273621440",
                "125047434329348636843925963735229132268",
                "180729818984998464366675575570295586773",
                "131896039500112739031232882874935978616",
                "92494702416396739451390762087533032709",
                "66142994713444423236506228040980175264",
                "81003393918421667001709503728096735818",
                "18634717369228472306284047325046423998",
                "227122539997696885237963333248935057142",
                "329495251183687760595439184531707744084",
                "50174145627903297492291330543316888378",
                "311930963393406908044719096195712187138",
                "179864537476361830474684821666043549704",
                "328299412111379412791957236428813488780",
                "319175434976396624409791776432888499576",
                "311205212573153872003087394676303831689",
                "254073420386520602862554097747846348261",
                "119584655918741356012994448835607939704",
                "3425470556722813352516440374301509444",
                "85533898144267186583702699148314986355",
                "84995151392897911892618140252034022727",
                "267098741733434047522298921976894237254",
                "60589321897794925047704136354626121554",
                "325387862415400757403424094633090023819",
                "24076681365928988980701981784227900463",
                "43164005548061827480243856986116471036",
                "232635301655285797458026280447602795610",
                "56116205884176040043195291060472761490",
                "61700999352103223277773315201063549756",
                "127727782919348618167546482891387368336",
                "329402509274056874953647849402600327382",
                "122122999945031298772563826298687897227",
                "37426010532859289181364607563835146822",
                "124420268847938096922994879489573476837",
                "130972315794071902944507063136020858177",
                "75668613258807303682238657490225259868",
                "217866367749166902895239192030594666587",
                "315399337117848594969762481693579321006",
                "337980662133333600799350128826388900643",
                "300002573554287700189051065762517370387",
                "219568578002117118214180090939556733420",
                "330894004277748375288698798218037120112",
                "166794169120806459410532409150938647217",
                "85742591513983902971714927180435961928",
                "175821506046819676648447041221483830000",
                "199993886111807431519031916798024484901",
                "109084199231600615575544566944980615315",
                "112199256638845562519699287869225988020",
                "282290868813485961468228306476209392109",
                "249914294744370235681069861785006458694",
                "150336143508698276799046795683973809849",
                "268009918772811883340041932589270012585",
                "60987024122344672765086512440212748706",
                "334669989194213907900271458911074479955",
                "110931275145024402159043743203056336670",
                "93373824157395332240033387413008436567",
                "138356832905234092830571356497474307241",
                "327967643566717876042310551175393812323",
                "47378884360730756597220429657885576649",
                "62490609090024718347468437053732374216",
                "106129086784269516213788279535477937050",
                "184139987172830166632507714970986174182",
                "274419108331643489888863073511464492948",
                "85529935099850208167858518854617259241",
                "2790296419879032499260299118283041585",
                "260295776379129890340716386669583336469",
                "69726371154666817169510690683037313439",
                "14911416711753290650930587536412097885",
                "172966177180893968454020592495826486163",
                "69812764835761550176567446499726372749",
                "180560322163786893462767418300308672383",
                "12424400800063186928940839436247606455",
                "167657943960109049319390478545697081470",
                "188633726755323566904210969568070757389",
                "66068612719876511314750750678685084905",
                "102000342505047119521554034253118858847",
                "16973605020501315098748552063144323251",
                "39061436111238763855274177048156899698",
                "46843216536573120845117350177368605157",
                "148705331852974181462780138628029449470",
                "7355545520602407235213186140191897047",
                "132859768048649333472776211546205726279",
                "166741119045557628393396673390389289064",
                "207933874974611650170777800418735152691",
                "183057909928842905941220477786210487336",
                "145696828050593740216948061694029158510",
                "215746553634376712561130724367563368948",
                "87974608824363138159591245386611831086",
                "289746425769351697522454768471013007810",
                "320886862080441544004645552355861965666",
                "325697678315150644288637209548632588222",
                "294281831904509837956226425227173801589",
                "140074950301777814341002522447839890487",
                "299002618097720379536700431223184398225",
                "216444933042269168590147805491055116125",
                "16307955326510421281757329685720447828",
                "176632371906284632980908926810100427823",
                "178576444542584183853345436559258581563",
                "213463140956508104357400909333252868629",
                "121419054553590640968012483443611446570",
                "254995568126411121803445665866661748212",
                "81228981641826634298261041960707081879",
                "100665958545706165465058447960023070380",
                "79520723235713076875646117975669909253",
                "142309354868921682024916973193718125263",
                "73043271132261674477550761961279143902",
                "223107275006870186484180147630315110729",
                "99990114469373545356343786689599391720",
                "322487920458262662949541101540000029758",
                "28858748628655795655696722868877698946",
                "16801052626012671547824686485635516261",
                "237566225720458287691805225426978343575",
                "137796727980406555157571370408728655013",
                "24448803832688772482258943241310654654",
                "62855262601595382586975550381858942860",
                "92094564375800843470395388607492152502",
                "111222500322674859343280514348452275843",
                "226091000138869680794049787204725617281",
                "340069005167636266377435029258733463603",
                "259128077143401351518080182201272665507",
                "253497133742186772020930625916780096890",
                "54107480480803876500897552680845304910",
                "159564456544692621660829330479969375803",
                "215338809887858955857418450814621582669",
                "104226040431383089799930788763979480713",
                "120225388115036499283094185001146447857",
                "283380438085221543490471417904182387810",
                "263644589695847813748625973242625174630",
                "247411030942994886538766062938417640356",
                "148114890078685065096282890933733153634",
                "73097401184183086877481934892622290274",
                "95940790885853410579628330409586926959",
                "172668814042527668863967125104453273620",
                "317276899434155144912259924860281205202",
                "190598012698741875260661033366894317456",
                "308309162314103985743076191331521509905",
                "193800362611639010407616791536063271421",
                "333886372233694224728469621257746780397",
                "135122789506602717656904165515600373827",
                "70407992788449359287515156296437546418",
                "264895817540317262290440738063935171639",
                "337947644962559900989581417594469016359",
                "17485196183763147187122493812189579430",
                "117678032217955512012980364003747792641",
                "300019946135792624013814060744894178263",
                "279011650238528239088860736820070200777",
                "233847135687897787478850166683320137538",
                "275682292788123127667641303664516363156",
                "177731211350544800299386438325100159682",
                "186183241878748505387867946259309580785",
                "218452475507927793744671051983018273325",
                "148578947114870216271188236515516174116",
                "276300498830255181923438394400695512815",
                "25134353591881806469571154735349403613",
                "28840451510619904516457822602111698209",
                "83929877596243959318039231263637315032",
                "93498336570301397084436695024836195865",
                "225326822494323974622079757430763549259",
                "133884125974136859872891680126734018029",
                "201317244355162135884811816484530248305",
                "196746944087214482878415950089854389811",
                "133592345158194245286779558725706954133",
                "3045615223440415126274974197985205098",
                "305868093137735906219971601626489125267",
                "295605780911292039953125419598956881341",
                "301763262317933701714602261853435050482",
                "181149111013495795065520868365387989802",
                "99217343954540874819450706688511571175",
                "23242204310446975465130679099014960169",
                "209935395309861371951620341898480074428",
                "335746768388061020244528775273607734463",
                "195121788468459139506619233235814445854",
                "156836261477820836085785839783289750115",
                "42824072389427776578787672632761008382",
                "234882738699056641892947287097029417832",
                "23788221654150777929461823747329735034",
                "270071939909023749430011669961760565707",
                "15188459157695245687221334007754091368",
                "137416776113572548520447879868394259452",
                "222624725530139265373000681324588860848",
                "25396445895031374701054078711418535616",
                "195304245116636857858055627852892046786",
                "332437048990686981242736356189462983935",
                "260974861103665129670895171106883538507",
                "321692419948050712142726581084379100623",
                "259913757721678954449953986461116198750",
                "24305629693600191182049003561703436244",
                "15953618743740435754662444420132049458",
                "278949737140847815023192462242799847696",
                "120990419234177753612704418771646931618",
                "212777723519114738688267236031607769559",
                "183094632820417356972901033469453707643",
                "39976434217672057364740958259262774341",
                "141997202920628736066760147158456739585",
                "326262792544838488394537033958834934712",
                "179658846097849808171922272917059765271",
                "2738898515316693826088767173480979194",
                "98608001009340779542964986993005815806",
                "251554188483277505295326172179405705279",
                "275595266017108655524407648252851162311",
                "163149960264809643835500395467044192122",
                "207320134610818051007156837608449562711",
                "126575292077027161448304450438863692175",
                "131457845853191557953628913021639806471",
                "63157707064780542098905319308549454258",
                "48667873213405636268824870168005573433",
                "272392866025743169082870628388548948247",
                "123903097472255934862915634701836391494",
                "125871541690311908563313530291618890078",
                "266880526838522127151971659764327682198",
                "303968417203808616415016144350388904543",
                "33861642920750965673704033308032402339",
                "254920066900396111581040108332656239412",
                "44865007097899626827389103977401417885",
                "78342335199837494478124073117121486705",
                "258239971312604400489788279293301577495",
                "264547911616852854478183546971828369550",
                "99947365034791814645257662331154067685",
                "55726009948866025685727129398401603001",
                "266540846131886915727208154230497559239",
                "89859966029523442684041972493011788774",
                "168804692680539303259070754579817879288",
                "198684198070848241520082098112953749517",
                "49316939117788897439923183825223667986",
                "238301307695312010303231856167053700565",
                "175782015404981340703195935129805214114",
                "86537694499426419427410062955192200382",
                "123716916370160545211052420764472951791",
                "220212493367523242463993773985573200048",
                "292276538527250815843772929814018335837",
                "171055817102313722905171839602131173397",
                "191036839510683271734790373293730649565",
                "21301001452416626520214688396510699046",
                "185577414735405299195249530169777253997",
                "94240237839739812837107379744402238272",
                "114424261414160688021531545582549415418",
                "222173337012448928597874665182465577178",
                "65887650294327316327879614210312395510",
                "290206932262103991958792233773085711837",
                "132990255947463307276370171067157987349",
                "11048851855162706858022510817841170117",
                "111808969384806944024012858742208135460",
                "233826853745121343504523864239253134173",
                "94747048864937921142659624641693028722",
                "269740980328703304334831964015174212698",
                "172963016524662086549123677856402481855",
                "275781709735150538611428327870881053344",
                "162525566741911658971058736450976385289",
                "233806696515983092997523008887192798920",
                "125169771931029688243388851011938865894",
                "310703569477645977525338757287096831587",
                "118452667530821728876489887762293086922",
                "85106599747905564079466853970033310988",
                "113049626833245957796413074762473806631",
                "115596215040775674587215515567615664247",
                "249833017530310162321899842547680146642",
                "317853045421943428647049130826944200131",
                "96001617349894792624568949458449282982",
                "187555245450182384713688279636510484703",
                "147666802940532211811432184055000986021",
                "26648773803681012378982566455893531341",
                "301246807974960353408488701554423807326",
                "79483384280695746707318615290881898529",
                "62013503378286552753370618009349822591",
                "331748087687408884440418200684415473428",
                "99749101254479855897741599299770607334",
                "76876637228882082010098026267362288570",
                "112358445468449244697764015857126595162",
                "255813904798491813324751102601910219161",
                "323946605861608000766217080072488229461",
                "283396345191287543174758171321888538349",
                "201409436287597072242189330023489526031",
                "3153352611532987531883692182977025057",
                "255799998239516401843014598124422510517",
                "276830975331188268953429486213969279970",
                "188662568705074213790457635635254029668",
                "166345099895974680472671742816215413098",
                "113489377723341982346926645990828162302",
                "205976534984119661828202756157016527527",
                "194461933028832511629950473871999890967",
                "3697916740781289232538399293892540704",
                "56915562101855208675106629578957114060",
                "279528207182429640549860976496064382969",
                "13932708081578381761413696660093976353",
                "216135671596054679491531917702666459579",
                "15110659663188057378449806214635991002",
                "317240180318240023538548548653410154430",
                "233572575118804292224624658806163026937",
                "186072691763398712165603618812119050589",
                "303333108765028579219754701145147782949",
                "35668008765833965938786610702607879271",
                "217680591657626055981400552310226700627",
                "46608528166830263334342692884419354510",
                "196254717013245654839744934011430657938",
                "294077222399351478888364825441635431901",
                "216918630131791754787171363256749123258",
                "28561031590229644234334720829331077745",
                "52648449060300305866475483598112053671",
                "267144965968710887707095409494214825845",
                "84516537456731042937829454474075335124",
                "30476698405153658778396888444303246646",
                "102833645817739156271850794729911610457",
                "247148209832284010540668272538868320510",
                "109472255098756063127945583899574883802",
                "88981940086870674069310934800102300768",
                "263255932899178251317548748199352652262",
                "136898651619715158438593889056966514695",
                "143716427947599321115795098334459337046",
                "98410663427242285673212739948637619022",
                "29996669992503477283404570171195705393",
                "66194816988306861576177243462309931857",
                "175447554544561265409597315327451441602",
                "8701979308386635029201614465722167989",
                "58146271962632601960538859292833226487",
                "223640063382073409012387040613182528945",
                "305479998575005078369906763425275451925",
                "5730439111595914956592944762425646776",
                "127535385738043274171460962871476620566",
                "92228114488795433639294222094993559708",
                "200245796057632612109949310626965189277",
                "318021726933797717729195796912620011663",
                "213008551887558658995693181218795099622",
                "33531207506038193442207479825471503189",
                "73901716380029476583378104325800692157",
                "416203611631430581333680963656610717",
                "39322980350119183591150747789333885838",
                "336726187404739814549848850634985189021",
                "258053511737254303111540813690862392244",
                "137095370834130941364190997946305410220",
                "83256294309018277013382006361857341220",
                "104811137614323845866081512221212603561",
                "204903705001215102506546644143205282088",
                "58379451940419958344973534144475638417",
                "230508688838365981487101191887274719434",
                "210283570714301023293650686289173166054",
                "151309228928632928018668842226683875382",
                "240671485947907687964502968170660719029",
                "313527616425772661427820602763330033413",
                "30856049927992407384011112661885613153",
                "177098058816048924560353899535706612993",
                "44619742822620537846586271367679992918",
                "149567875718611604168504123248573494627",
                "56113152715701824406622867115045020390",
                "79255329275439450510989527403769935500",
                "62259851079580030864719232962969853967",
                "192196566763297668089364055808112598151",
                "281431221200078964630457730277712856995",
                "171627084560218000846263525166649105659",
                "60473294831144716657876074069417430576",
                "125095927458449450032272189357337435529",
                "67826843658529165256634529842917463469",
                "13577806509780910462353695935037227411",
                "173582036859099794226648314475075830138",
                "173532085460484452353170427305155265552",
                "154789277969588147513343869018900857668",
                "99401803720280368620093785128019614526",
                "150357853818161204977887396135647361941",
                "282479044011907201778744286806734414162",
                "97018426618990631121994391718546399634",
                "107653560818988988206768762177131617820",
                "247521266239481328914172982665057902585",
                "234014610980250708454561140666326624292",
                "55440568566506086302997812756337059529",
                "215711968756248892154652532545332474126",
                "175262506338629549751161872155939702645",
                "37003439595734984849598375822729458044",
                "319714834154166683345984032897579812657",
                "130959012792857687719518857593112418818",
                "304788512171799072584047948327935798400",
                "225467914412204709019524628634034965106",
                "178439261509092734987037412763305244160",
                "287595706425996234994406186448308593793",
                "68148326407371418880152722156064236037",
                "179121209239022402461175326238447127301",
                "131387271460339245334160526049731674583",
                "31087329654603445679435387670278946443",
                "264703268191586956359102299112576426489",
                "223973605791105662867304072855919074598",
                "1994653922181556244924873238627574665",
                "40061816725019608038897470337707698758",
                "18657146195994453859817170280621810627",
                "110351629138095711879047709101578802436",
                "268175437390241852910607387021482551505",
                "180039967173617078319437443680179165082",
                "262242581358881914592651599975344561203",
                "213403369886201024510744331468583422169",
                "21879662247357052431724708027434083989",
                "211858479211018283702862876120438660369",
                "316061407444636546131724573706016531672",
                "220340700508303055874216578758292826485",
                "89116402048799187490399743996045472686",
                "15298578944139665917132750464692972675",
                "249261151412395946932907669908205395169",
                "63315705937490740231123314353342768902",
                "118847613565112272203987228272473008097",
                "209942215551891653794821855699439998286",
                "318270616683283576806054201021395137293",
                "146493611587316521902525139725377878268",
                "330738456679887306471076026531340991951",
                "318403285614080984512195833062205350433",
                "192160142089685836621076488758904610312",
                "146868580254791437204727148820601406216",
                "16894595921286130164230737247592336824",
                "54452555981215128444867333655964404946",
                "273668509784205367792843963494877092419",
                "254113742289835176584274953673570153818",
                "277152745822592776913573980109984306853",
                "208516941144828106323032077715061811276",
                "205724236316368041215531901618487470024",
                "112171383643600697166451097577712132787",
                "234627737052080993951655232587384120583",
                "213212544150797851585786358533090786098",
                "74126434247003103479793997063323379915",
                "77990739148119535864389379880959896189",
                "115859398927939776364093149430402808280",
                "105721785468605473830180665691773630943",
                "276989127900134238259223248386162732841",
                "246694307253794719293601557091038120821",
                "292672800905546465487054137128171469650",
                "287949061460672404703852887813539469593",
                "243978867978562719994449388078891162980",
                "84201346569370373406785948027599384701",
                "198178634587365620703288053325573838312",
                "319902063490736543990109932499532308839",
                "8637784912324543814090721386479020117",
                "309220444367387393097910361056202986078",
                "218475673792929725826372645711623495596",
                "41601172457052266596283656016067154657",
                "36848500790135926275931612296502524004",
                "303115723309895200081804715638022542384",
                "136819262380254537044176864189296833413",
                "182398456864410226958766647149539137306",
                "114157901043791815743312573836143431059",
                "260009264235594677402885009192828045489",
                "191083621702621694411806710435320579215",
                "33403907280037937351023792921986793413",
                "116542808000753289520687167643195201878",
                "11105762992851824590285207903056288056",
                "13448460209212648027628712276035734091",
                "12691699535582688383159475442357414359",
                "15771395061508931827033202279468533726",
                "249501762939530369926828023035875999060",
                "282626505979118350394933774383838015413",
                "64788249879480816676289704629882014592",
                "238371028213730818384841414942164611543",
                "46264673194785639144751583610003258050",
                "237314157441612405295372004827870113432",
                "29192549578228781536759804756611653296",
                "215929015486395339070629966865134294320",
                "37907192601841765794818083688762313392",
                "231338243753289276287165680705132761448",
                "102414142123668091423942754500189055904",
                "32748642151666245454627954008860648493",
                "7697413365299694771486695779700176895",
                "317105598888606107233344197295764182959",
                "247714047445211075988127413988895098517",
                "255328654349348490630109799781286191088",
                "51089989185605632518099179011890377887",
                "289390459952925836145962266146171478941",
                "181968464768585414174241422545918959496",
                "71289202766778883419865982359195332556",
                "12482136922091270475029054255727032655",
                "193659966725020780242808246740860458915",
                "222526768359926467770765801837300543970",
                "214863445664685768724354418357170575464",
                "134136588028089953189359655413056008398",
                "247704434796590041992857033257045802419",
                "276451580851404093386859826886429473571",
                "198363077247349795230023228020825688334",
                "324309409744037321694588745525341687344",
                "121979663452377905064458346121013469897",
                "54622246920907052409418511543376877625",
                "70429052526194916855816576659428114932",
                "235737840263703177046847990140886911833",
                "241433310358328736319965283175756986853",
                "245631714914739488785648035114679571693",
                "136875163533620194057357971999430617290",
                "191027920106303191119455414783872300406",
                "222873261950123603424408218656905864186",
                "47553802446352654821525034760264780867",
                "128300531392779973537997677554841359813",
                "217403432184682931260485840473347214685",
                "46563818768074035211295768422730083223",
                "169203839152447956585726955379874035827",
                "275174934642840307365531397821715139699",
                "211643792670288529013032393727324920636",
                "150360787992895390684347765643546923196",
                "294945564750314199612403937610537582006",
                "300714625086915296580087937887284550505",
                "147281063287407377457901430456638961744",
                "94429151012270734148005717494848973605",
                "67322992861876947857748762841643917012",
                "100580492536029645445991231021758146421",
                "60323504426436292991553031001808873499",
                "150541969935758808179794360614410502074",
                "246408448879988306700714524299464403700",
                "129042514139649143079502212619736867302",
                "118184817087665391746270603138984577598",
                "174071441603545050417059029000204651434",
                "135518358232405556152785421302303187561",
                "61768930624084900147377748058307455654",
                "134093731525653300398174893738194072094",
                "127457518722948469024943228972816723629",
                "210103990356761318414272153065642693094",
                "96776834004445169348231304652290041437",
                "213047404461528894578617583142988839412",
                "210255069136911223757581812523683066954",
                "274851597052148934852105714916694232946",
                "273617767222904869441990270634631340080",
                "255589510319423663549860835274150674752",
                "303788427781619890014434065985015816313",
                "4214532003848297839354160802179333287",
                "97444542649300183775515832321876132732",
                "326244282764608604383457180551937524957",
                "243859374704841605813749938298908044165",
                "327135093221656758833698215298634354943",
                "218841169248837624112614219929544576432",
                "115069139553368343028722161587626286349",
                "151414199911927817869097034377105280713",
                "176500193536377678663593941211882249088",
                "333205047402453600025280093456320983419",
                "168097323620343647451504490097755018159",
                "170711858132786064102426379245508904760",
                "654085607961316992999225137727036823",
                "74383791302274609094410916323193376651",
                "267436282909604518639743005250333653473",
                "195963321681434737485638940490705815216",
                "177805192581156962591992495936590474369",
                "295170380754284333293682655006848648838",
                "176340305576079578022875920421651697495",
                "109336756639002575936722542172467406664",
                "295892642169746463750718932526745797198",
                "306887930145596058690195324262519025817",
                "281035627785717188936662686483364128060",
                "79342532938148034870739823570331151838",
                "26856462892848829003348666366975220254",
                "109613664960759355815156470958590999452",
                "271311867376751324685414842779596287960",
                "59562938928132976527050479611780195655",
                "98471805918515148505124386700686902406",
                "251417601964343791586036926111550816043",
                "116028737466892373453513782025931591543",
                "91407989161489907990321057616400149135",
                "41055554769502083281241104264115039411",
                "94647485597700828094200018802644505472",
                "65289237893102544995409050049058346167",
                "304872288749809373025951162817722427888",
                "279668367125137521954083294280869922659",
                "99491307921789447506287236739517496963",
                "55178105958049894663228280969266044403",
                "243367169074079359353245500084316845555",
                "262982088470314654028739196111426286956",
                "198724108696820414714557969739530503093",
                "98069425149108764763388305436069018954",
                "100897283365397919975585351271694831985",
                "76640708129396197501278225178165047908",
                "302674079987466415650512608472066594074",
                "581272810385198726217572428323388360",
                "121605636047454258935820147066978867869",
                "36799033360966435400675545428296386606",
                "198909672061208729073795692107215478999",
                "54335005070902686550712797316844340500",
                "168874774568880712742754867061979251975",
                "157609417092026658663234471402230263512",
                "138660519819756548701889385745021408398",
                "285320222834888107246801254802944656271",
                "269790956294250784554552739224438716306",
                "193256733177808893550909475261019929357",
                "337018476518080542596729507944051500275",
                "279458572193552423617818443849519573367",
                "89686986370136891722654727439675866995",
                "19904660154726799529552033499887275271",
                "324032797961475484160692384170696386744",
                "263846958258366659125964530829936281413",
                "119868773377039830883053541904729030883",
                "200466608836151559987070666631504738393",
                "147487730070116026843150493118154673222",
                "125256797146527556768342933809860285648",
                "195894675845992008017239170531858966795",
                "97792744657092439093216073467363705234",
                "313385731429956787297686334929916374675",
                "214841810923675733830631099037490445134",
                "124570494762763911353718595324240380445",
                "165467574539141696787633248871115057193",
                "66574076212978354624146639656871950534",
                "187229370500815339669865038686617407666",
                "202250756952164506201600074107389123485",
                "258004947428059767250899308591681018231",
                "67832094312186209539847923810754326077",
                "2202464214594394359649157487987488890",
                "246334988280699655691926221557167934523",
                "80490169394079458880491558214167903102",
                "146707991993148145163885094273085435434",
                "291725728392344089479508420838377288053",
                "149242804366973868220982121649322069594",
                "201774038137342173453582123537112656539",
                "109937715058788658744543284026739891592",
                "71382394683480868373631475683799606513",
                "305165833208456563181538802604682475262",
                "275136508039965624787858516439566195795",
                "20295026486209588314894018321156612499",
                "90433529966460412450800040175222633776",
                "269060574573067654598578133306776872012",
                "160555828211387699217401630593773585756",
                "199801599258597777479195262118150373267",
                "304818561630663520882169589974830367886",
                "112164897872051568402751122807940873690",
                "290647682579244748264134785483417133860",
                "330630040316005691021736248771213999087",
                "279513069482768576762916752718594808655",
                "99067923048754960942758405008968334148",
                "244771643159109191584481369806023036927",
                "226388672580569345925841444241462044385",
                "42930045755302149841226019621029717476",
                "251584295826756813632299448188132969938",
                "689162154927577673355222527530890566",
                "37050429868179218545107655441699503005",
                "147200497820659542221471119869052176730",
                "102281368290110927664843967393060149641",
                "47007789584267028918580885944184403904",
                "23489588782692453622680719257166551071",
                "166743413525447756531286994442436489683",
                "61740319160778931957972291382850771533",
                "9685106444230904858571629487698772877",
                "137629337034984895564857905012614520121",
                "91894602785052497734453437702687748760",
                "27353751054900177237646103127479812256",
                "267293141764829288270425630608914846060",
                "40158869399091121163528481537324223308",
                "29658593950616436222877492219030200889",
                "99343736975206386742459472454197282884",
                "31751140242557164278180221052420610693",
                "43446980444145158686644052714595769977",
                "51119296528592788573234261078097074479",
                "10026738977624197918059966752765421374",
                "327121012850154009347150796741775032552",
                "291854793659576567691669169748242009557",
                "227078891095688030906011037697133994451",
                "330260044552660240140706064848240520821",
                "166051871953307552734695131322308908022",
                "165294947252920984509152635505909563502",
                "135995043795810976078607171440450631207",
                "296457475412064227194360713989719064908",
                "248645471358474343279338691983496242853",
                "288016919424981170934759486291326273101",
                "200498992998760688103834889632901120584",
                "272266685823318009517514901470866017204",
                "146817195684188631020553370746917678659",
                "56947714032087494584010342541262894185",
                "47921558477146899020821623598251929354",
                "125246807782619077131980783373610032267",
                "150021617040299560040106315424136854829",
                "151527274472830503389545920464962697450",
                "225196424046888295947410089404998989148",
                "111344381240655384853878989150746427993",
                "297571187652854136368907642891529849929",
                "303599340091918058774283451151754697469",
                "326270130304210612923243997016853157876",
                "9934527445638962214515357779454286661",
                "168190378019385883967516773963013844677",
                "274851865462141057134856840665820134045",
                "35694584734493723717138103726678982689",
                "50366311987299386424226148533445049434",
                "140377381893205437879382544863089120618",
                "115012167322222868959264990666030015799",
                "209425326267888938671310953529543159756",
                "247207819377775109106109081178181066902",
                "140141461052346755711863517885963377597",
                "317582495277975464362740895533196045109",
                "29591456993603416094177131494935386679",
                "1176934851473559676694582450381508364",
                "252915712968775926055111862781123593067",
                "131718402931103820465891537160663456459",
                "256671138917297543699010048818495291781",
                "228026718600455795348755416292322646303",
                "332827843341413600678229051191962054357",
                "216933393899182409777663460502810844179",
                "107444399759224379378979732610187640190",
                "228429833698815461103848754811856508826",
                "220414892781337918346265099747325936511",
                "258651418592261283766197129989568371105",
                "118201974177166340975024536338854712910",
                "272923840501281341884138574052553172500",
                "81483819108716378795010484537616062758",
                "313675945631402868050648384603921308994",
                "99557689959198199151605154474993343800",
                "187466571013681600704220638784905719798",
                "171418756519975600863965254630472400485",
                "311962762852639744140444469402997673248",
                "201562798021511820943726627285068935749",
                "84091008669295231867294187922577856182",
                "145731466465828350967567457770536137524",
                "138433203379197996152917716569621392633",
                "128341184885852270926434272547751504089",
                "24817996451101346335927302488169053004",
                "11247135181272359457446835838822842167",
                "172566992281518354041105591732304917167",
                "255113803135615242178144503443454745132",
                "157419205333260648646533278925852698435",
                "87731847159700449427625034331501561221",
                "242422182084927048157565120553812281803",
                "161377680854861105127083064039670254753",
                "206162708461207790636275554739345136340",
                "203542654019772790100732911142198300584",
                "267668796927467453772795776372842873725",
                "259255938354396287860346897206708042673",
                "267585938061058008602945539298380609829",
                "184722234260177334940339412566073984180",
                "73984282788516288597084011522418513245",
                "186304331172647096405186514889719442573",
                "80248600319455336754008147519083111537",
                "324259132240217238494904887097752203762",
                "231246795215735438425405925870147963893",
                "228366035265915713195059120162926569662",
                "223995122100222649709855636163768100374",
                "286645626528415050551618384993833104448",
                "87721658053807201727193340572810888178",
                "239714434556882210839940367259688737492",
                "163155462965178292750767423571903668343",
                "60330557164369626395939601457985153262",
                "149496157310572993770001746708094822116",
                "332739694158622183630825462613644349429",
                "297274307982713187248939156069868392873",
                "58741104274715232635711009588244399015",
                "129289024797585402181374530094622166583",
                "268097443784431256014830672801902049731",
                "112205476471755224985900108011003133602",
                "140155357217658406442443256478744229448",
                "26492439433411360462023537214510170971",
                "75841129470112192373666550821252795301",
                "62209617851761143865024639392890177210",
                "54069793201147274510675553910268493145",
                "121636121727069306306599682432764205385",
                "149684866843868263280739292134799313577",
                "259549535600268758125604816295933612936",
                "290849291507109767512763905253393857174",
                "334903506991871290956146678204854351221",
                "252188376094936328358275489529572369628",
                "38719237036298174077581531556884784634",
                "271409661416136301356914346042028347022",
                "330230520442315197249740747013336840551",
                "94511094473313877710894956003045485507",
                "57919065256314636500924059350660995018",
                "281607219140825212260321934966790460232",
                "258522567716616139901470169414147941503",
                "17636364494349482820343855583690193057",
                "258555777631300820764886780422923419771",
                "251902419493030640545527941975113300047",
                "201717188230854002114655699473153912649",
                "224590528279763751992973178037457088453",
                "141257678673505692053387943564008685551",
                "308227561494351247947857350873291227782",
                "248371752169563896493730064686338870585",
                "136633826787310345426763579453814288260",
                "83703388893337204064111577005527639277",
                "212362562143224884631468029750941363015",
                "124347546135874122038352742024329618762",
                "284841755786632576262934484977493408219",
                "291644058812201788933537526527568194402",
                "147138799610609267988830022274859184256",
                "317247447385552279198354728009400623964",
                "253081579773648007241874891221096328550",
                "35963095059024191069671066973307803334",
                "116875787219673964804078547441686467178",
                "268759924318878220499403304946632164041",
                "272072570359714340534514979671445558116",
                "94811849930147547705964678298517328238",
                "143886805565055303881945387266678673110",
                "10088400659807057655475344316109956450",
                "311267172361972491213352987758719570296",
                "218428843855008590614246827770036792157",
                "151355003983235962328631862693439876897",
                "74413123566522551573518450786007774622",
                "115552908777692354044337584367880935469",
                "316949515177315854035390722508794232436",
                "248216958179500145826934748251413981213",
                "279041702289784702445063629941895894410",
                "311029352163163512977835925803422715663",
                "105604607528521408585238835571965832653",
                "196599140705447079991860770253566158833",
                "224039194004821317111745602091202433253",
                "202587207587555629524540648510126113210",
                "267230273391580821524312373941816572749",
                "220922475667477159665170104994745903519",
                "63057453061222267920584812454558186796",
                "243355867057099265717256221750108085571",
                "171096269027410813331214320169966619194",
                "41060294850243298600307698260019023340",
                "172259374519808931917258670933060263843",
                "97801675131400154864776577808839892619",
                "162506363641733261554667217478560651501",
                "215339024451057929287557703590659286029",
                "50281424690072937270024733458726212892",
                "45944901719907708448585332797337416748",
                "9842482827722439560084219097641822762",
                "248823780602115800253665193434158943372",
                "32977642452266983879277452775674506577",
                "147671770283370152474758305094809487065",
                "277727608042166049870280948229142835715",
                "175606812104750637342917405543852145009",
                "99543377611215593277692890421160549014",
                "176426987787325354022312476632481274767",
                "59494177706525921727748841854934922105",
                "256943265981162243376933192018536896775",
                "229016388609721045620480732524636404173",
                "180312255687177334234909660672696570772",
                "48281367277312198296537795337596793326",
                "72590353569872263021788745408620772980",
                "253971065658278094922775086544394138967",
                "323149181440304458099054007989146576855",
                "287887884398192310673583710409875818489",
                "244361038587578585351631829798229959324",
                "122606518174148673570637145135961020660",
                "213935437078732816893515470108071260952",
                "105549878659060853357814068834720922754",
                "304729315293346075206571131622266125533",
                "103002190721268553544173160102949177427",
                "18583227442239773132285777068659561476",
                "188589745947787725307883650696264740365",
                "9886909689411455299866466111070145732",
                "125171267338317265607583889261622958764",
                "78424323043900105489374432459113454122",
                "61952903330509677305172638076711640986",
                "147825975634156575428182336633167043308",
                "312702992707595986958241092351394408814",
                "164113459210657037485462802769849734114",
                "311401723320756832549044035733869533937",
                "209305921774687600552157011234440204062",
                "327377957729168029533112605805074014866",
                "201787854025787938107859856499431272600",
                "231390928413296505132510811125912061992",
                "208183374869935399857839353737772458814",
                "15925041057510945543164398254862069348",
                "269628120591265628758967140026329285419",
                "140960386476301658715684921268346232575",
                "121392614406712761410571742508171001009",
                "235923468778829316843923422498446249543",
                "75350803143043242384887094155668699839",
                "173582041098822893935996347445263742020",
                "130146863949312936805566019328965389445",
                "273776695706220501119680505760005569373",
                "325452627320105636270059148231286120697",
                "53874436541417788849929795948960861287",
                "57394509630213663924954490473148040067",
                "337570992060348532786579620517579408141",
                "325443159635443123902781166455991771632",
                "153053000895169252712509738490968248835",
                "48327017154110594535048990953603393969",
                "217925639415903597314408345607767600021",
                "308834843506203755837237885564592816763",
                "16304973685124802964118427552116500810",
                "258908605627746410513887073187285520957",
                "336621008333384024011963281228199629474",
                "238783590821924830679333228506272098110",
                "126268082677608885387636601284725525166",
                "284630392071142845700883352745972033476",
                "100335663244239626245094232932519721786",
                "114960920169579663278948846274958468898",
                "285868943628226972402030336387118221917",
                "182547773857445860371043101342019799555",
                "126740774552024264239329208693823347557",
                "256875382830124561683461139152091582470",
                "191085329010302488893534058593356876924",
                "9932666072540766251127945966314170644",
                "105144110758858152487683236363676603370",
                "319243654695638634810237816667811943778",
                "38682757008756084526791728789633856462",
                "18670978295482962983957206977118160661",
                "39169885800567801011712854919709551628",
                "77501033816612192953596994471504635373",
                "138955543215822835284088796265084439672",
                "112298183060564318747404640975851082620",
                "293991252903146634888825437639132459595",
                "82995924289823975831041311861915768423",
                "319111102699163912904535439594845994073",
                "307175637568144247670929378826840522447",
                "136339570079869156525754998344460645099",
                "281867674096606585616370417500820304513",
                "280523369892554068379788899251964860735",
                "566431311340058272195723677227761751",
                "253578035194364607023474941018595971502",
                "82161050152619863781116489339268500676",
                "259635145791481457739442528406338103506",
                "192499014134109402095646579251263810189",
                "4595074493260985189815319673452544071",
                "6608135756643709575080479764047795260",
                "202633218836845563171198858410011566857",
                "273493352765307707703750914805096878271",
                "197200648403938083421515131597655005486",
                "194305173815867865781009258720134064096",
                "245235732365173884237889513753326248746",
                "195461148361632240519996955617182626555",
                "42998741162871955262802915687711872287",
                "229733439790495673759543406673658696438",
                "114297369314293836120968059887556327013",
                "187417307831755864338963461834636855752",
                "301930917332062553295371484575669319287",
                "266191294330092834376954556605670456468",
                "236640966101095574512914026972948769462",
                "46610188082072477303609863412897536181",
                "336792422294603940797476795009961564593",
                "43735120042955276124884100593624389565",
                "97826878910488041045071199425594250051",
                "96110740474804768880131117260074547666",
                "169758252494582742954524930682461021280",
                "248982561208929682037638256129460885953",
                "310973707144135604979830075271511777378",
                "57202958447346735676627380537632035117",
                "192255998707050415592520007883004735285",
                "137000799559300396918051844041424200960",
                "179365439925651715747159762007397322290",
                "27882343553788675664000120531760544766",
                "16239439031788545241208681543875010597",
                "94634075274339675006328072440908368552",
                "265547096594355401279005987530937827349",
                "143971401147461658153097533772901129359",
                "162086895506228835769342954687242467121",
                "83007075861995434920779592126040153004",
                "8008371281513069379158008782541078354",
                "99606636088599004526752560076093536864",
                "129749082691181634867846167892545445839",
                "308697025331618495117877690050629297370",
                "268936803719310676761218734513063093474",
                "417354635759547655383039230508252942",
                "286885937987884687865523992392028596552",
                "277112057403574771816869842895492994480",
                "279735334127490322435277492304915298284",
                "292347423426593212919497751558799992164",
                "322240890457954511336313014550856609140",
                "76591463356405471989721421291137724695",
                "45827453599095976238489611467530570452",
                "3687326898087599627069447879675811123",
                "154731906133805041088761018147449507356",
                "51477220204777340770578497994637957096",
                "177705004907988128834552876535829565596",
                "169195669540924231584214435581229131143",
                "124741079957369735397418978768193817774",
                "175038330456057294211699110752991396302",
                "173599367703841742064010460310032294907",
                "92736027498187680144501564263559801725",
                "118592855954972645750913626644595918710",
                "40890773090963309041472684234218895805",
                "80941001247598825257857633194535159185",
                "231068486963306870363584672061824833941",
                "159279857728855049567729893883276323321",
                "283455239240661170065578147972252588135",
                "63721022194542086733198323676273421403",
                "191805966923086771746211854988345423977",
                "335693076781875972405255671072658605681",
                "295767408363358716999751180919060021736",
                "6870099254579749224918494758478982293",
                "283759350360835871604134204014577860192",
                "129430381761853250085570810855650630995",
                "48698369221062615817454548498495153835",
                "268655449933559129396110030822780512856",
                "9908254363206948635272775738320638354",
                "313769191882369860941702596012749277891",
                "277406295840204999594817456031311293694",
                "230491175941815462711618673744475871304",
                "16481060888616497091919269910180534596",
                "92931252296057547941340075836881441656",
                "305520065906496344136625514986935748936",
                "162574745674980557104509426202000349736",
                "235642257309217141157075606253009098844",
                "66777481139056259508452780183988337571",
                "195300760716792180171810124620754097818",
                "234192966663695025052871030274718140716",
                "93191503917587963143527312265671819681",
                "288835269830340194788548897195841952148",
                "174815346233986017337582305176436401406",
                "106568853531835690939944835551588803247",
                "175541740608625967271302460403006578118",
                "318232727037165732569081317072372857452",
                "28797991483143574646692107651633874401",
                "32565122284875074940886519796644371851",
                "175566117204607877100904246366205483211",
                "189470394954646416502414402075742346502",
                "169588174733025392426880771978488479665",
                "182633987779370178917574024196720917927",
                "305034833730556628493261550639672839090",
                "241304429835977341261694216157357599307",
                "49561783389426859735103459917354261456",
                "128321667781882213359496882552762231292",
                "254930657973399061365521457425325947943",
                "126817868649415125452881759274696914804",
                "105668851659156964710101980736870156883",
                "303942277208757276900079325355201880969",
                "54878120646270859891674152696438560488",
                "210972204478233124054787826345148659017",
                "13176515588539804036853132173097217663",
                "132058302067880360150993803187583202225",
                "16450104740462949309373321163740745375",
                "302199636193055496986704385060205198479",
                "98405915328509137727124571789783974820",
                "48114934954027383199422612854816047070",
                "322493864891918776550249668605016237645",
                "204007313620749700378753755759734876530",
                "87985213078811341744090632103031679529",
                "16624727159207947874070476370198723084",
                "298265463810593470990617901730489576050",
                "41310494259666509347863909669555613471",
                "162023898346286139014478938105629954995",
                "158454857368532297961614170736237464985",
                "332255172227905405668056857015354139039",
                "31712559584186327918260590573927906",
                "213926492705950850456400403609787118431",
                "283870560696250869261425551282996995769",
                "66426536568824841942646192257278703807",
                "254762409816515419951914330051613280312",
                "20553264517266980885209876336245893520",
                "30268342255793372384412706369025398710",
                "319499069231972169483226685115576638730",
                "87567250384939031898389796109156546486",
                "150779643449201047963359624385731191640",
                "288811623186499046753513649133846155084",
                "198654016008078251619592161716428677288",
                "80088719009242627372512726003848726022",
                "223177628051131239638909646386198915070",
                "199181688018493073133428129454304000723",
                "228865858653984717363627313404142724266",
                "41696505247006525404984105878237127155",
                "307234490793587600621578896001907693136",
                "285861726666964937157213604936523911332",
                "329970511503677173223888107162642839213",
                "259845005994408217841035630992656850334",
                "248221318932324894727601593451777865635",
                "11561275442596240274840354617102370806",
                "260567744945005127316230674923094055109",
                "267654329892745804549245685528439525407",
                "340176318537251702200409238421344989444",
                "196956048556455796259196336864555586949",
                "70354397466931465781387669997588222793",
                "11151323845079807064162946869527823349",
                "118272477221922136545468156446414218889",
                "288681443675948138357361966839846883414",
                "16949614118781204716218515488373468673",
                "80602996541809238380555415289049643851",
                "124258248016530302030343658811613340005",
                "43942370890616394806183662633494362010",
                "302335325903214429124224192030346790134",
                "275700025126180013709141032475545604382",
                "154596508907853425868059902773997779643",
                "170997820944687532003591147316005012219",
                "130987792868390573563512228306381909774",
                "84406208777303180521822884569799705372",
                "159081751790523227951605298300544320964",
                "294410314397549416115585347286474364549",
                "311552766135392300932412593436289203062",
                "44493541134869227145993942645795868590",
                "173362113550062505557113914555684409450",
                "27699941235223612419873539945799151749",
                "177653615805847324797430840785993730951",
                "156242957237527013934385508340633085053",
                "99934035363119413412095130665255250834",
                "93395598054674033075836423039600637531",
                "767428439082116377542045489035698428",
                "308304805270615499824243181471071031325",
                "113592911078467786104714435709295213716",
                "173970572006230830495722086585580871162",
                "339836759991798396028674102094831295778",
                "214137814259294232897940591367755397835",
                "283900561580908876026987274674644072470",
                "65252721749951214185626256704251963592",
                "221784198305196599764435475653625638625",
                "271444683377885786456019053922422916882",
                "302716714498278773321221393911075740758",
                "330378912976359737460807796893863271992",
                "25565067081957418437057713431285551285",
                "196084796193555654496236678408275950051",
                "210343070743432247524501430958810895271",
                "84055594339344588461920040019213149584",
                "325344285689980380242453206152880664953",
                "305857895333610414806415129631240879531",
                "146431675382560703087861191021228395938",
                "268916193742018023810720645597112382618",
                "255451197220075816704099242407335901242",
                "56491239548633441633923669809138241164",
                "84381780438453527561089132327385948033",
                "81169163527848182544934394817066063526",
                "115936881584825108797874672151564942483",
                "223689697879708129207915986388360680149",
                "176413792570839740197058704109443046378",
                "24986603660700801475009997920789722699",
                "268267901573741062065074666111126514826",
                "13859956895142490573984770952927794224",
                "1408902451721853456915559963888828578",
                "2060782871021304515040946843098367068",
                "254933205911521309567840169441427859667",
                "32332077668437801486422474929225593635",
                "31489067483830179642096075623683133426",
                "247641602552971594500865243910648215950",
                "101589291039462891874613627057729456017",
                "68572349148810130863500933154571637818",
                "93846915053460432538738150519212621646",
                "111054994704649497850563652102435542177",
                "46790271327638618524461066026053348875",
                "118971930971858993543439148173877881455",
                "107758250865964934248283343272157744245",
                "117476566546968621639719444985656078356",
                "130270817260482117770000720828353328957",
                "32504783311833689563891249812963682257",
                "188296406336044508446358705536765249968",
                "234032212088687790021962808518491930763",
                "58199441613480866978511916932873675036",
                "232630002003664300493470309773468876144",
                "40148915352322283948449780194543518196",
                "73992651017934687545304161135557626168",
                "59209765682946619319480448092515218781",
                "214397999913303571244044812675098158236",
                "272084939948644167575913063311160140275",
                "107436173076399366924573236648368991308",
                "208370168203063923781012701205747300720",
                "22853825794644701416643300582507510186",
                "87317938534811615330511375596860391088",
                "204609528013038577861037282936733849795",
                "37885506376158024793915735224636768768",
                "49724012329911679363310510197112028613",
                "147401642488755412250109869536120037474",
                "55897623759937907063270742061763928702",
                "86796614357537315004127410434326468226",
                "262783897203824431654205553012526408668",
                "54668136051523385665554568754818787406",
                "195201618603839458097945215303995778993",
                "147156319400525998727207444611876653562",
                "266466077230371014911594415931367363334",
                "52120868673533352017786972198674751615",
                "307333068650566309861476291552746323328",
                "241458277520967604837073841636655222845",
                "112331093843168911610915828321537969422",
                "180304738378249247289362131555789762705",
                "169915178015692540252752584937232493314",
                "305997689229516266934820849838035152059",
                "54200867270877719864352526176367471227",
                "327468153925655767043441829785895708755",
                "48150959712143855901047998752535525758",
                "123333724289915080607433469843731114721",
                "74231869409868105005101140051323028158",
                "41554225945421128096492374818510845441",
                "222058388370904980660594051994469067002",
                "104835622407430091268685731278426959886",
                "186775293815835751724345343511395845997",
                "46983399824389578533927984806511218300",
                "151327236674301566936178271687113333782",
                "84274122217087964720475914566335340613",
                "138003073024985755458052689768121741444",
                "195924370253129722579031576861111122590",
                "181927563285194679653271686424732227379",
                "128431770962864007254346946482884078746",
                "287043842543019316346988107922430745341",
                "5051781938583263495321069118489264200",
                "90933697384019291243107510884103585725",
                "128140568511324980791417183975313083487",
                "170225886111292054447030602737393434835",
                "84601783909893547913997540142665109494",
                "94909514940660739552207657427775406721",
                "174573331640427418503542240339619661925",
                "154234825920645302136866262327815268212",
                "300624338722654513946374828987851484026",
                "206791324636571794826776564056153384100",
                "67989724580554843027287122178358309578",
                "159279834882674209650003621436317195439",
                "193647720178302530951688950881093082922",
                "23864378466268774226150872722261914057",
                "321035572106997866046541430618445655849",
                "17905547200234837100413164842335193622",
                "50161126179253471562640659496749164616",
                "90005121067669203176434691556179711907",
                "273324058086700835042026330039244684658",
                "212645522323063272381170417055036809495",
                "165414642533469084409905838544080431267",
                "164649378255787721127605890603174998732",
                "179628693780756287757285956296155474960",
                "62303082001269020508635180255722346759",
                "130628115393991678487554296400389872704",
                "208218898954648336971511085585645824903",
                "146233393265054796146387153694838344904",
                "242899759749703382588196220394448459672",
                "279320581373878277905104259617483606786",
                "232187595706853602700177899060157619563",
                "231684740582930971517223380232318445482",
                "211302071990225598922973423391649275101",
                "241572522942201632609153877011762928400",
                "327513505084464041886583052788041274444",
                "330671725611386205238527462534452427061",
                "105280434912697166022437637309486236648",
                "278029104794020133677525730056309604081",
                "145577038674247495598160062440044820570",
                "113432054412299523074145646029010893014",
                "146411330702765137607387043215019316132",
                "55824740308291011795645034356407091961",
                "49078881300520313945892629733928456404",
                "139710923054669103905696906443003869928",
                "13593467394918647865211343074244945627",
                "156915534318028711290861955348256294118",
                "221286660679020589257387372027102415080",
                "22186252117455918472109365757771358639",
                "315705418978532003903420516250185750193",
                "315896709963747759340081745745370316597",
                "145761241686765593329573160428219219858",
                "317181336003828374687221385381019823216",
                "336884983197986988519953729984151121209",
                "235538569075563555962174041213068326189",
                "269965617053598767795061658755371582433",
                "308151049377513727610134381948604366035",
                "12960644343605346642816754908305967126",
                "240007799541656462671862046466645398631",
                "53189287841720602829763920276992645470",
                "75545673285243019651041232622452221432",
                "112926701381278929082222896717526137218",
                "283396657722064081685311449859747410407",
                "268744061685845927499422878759753678272",
                "271076201239635266472647089898664126643",
                "86398476662851145058841769907529849711",
                "312374996033763269013482085209874671832",
                "102358237283199183691772952291371575190",
                "9061281005282794894773969569854409638",
                "82899359173965752179379816630373432275",
                "69961060723219004469185945339948489462",
                "107308994568508539346408042814443861471",
                "83430869231000261380031774244514752130",
                "85355218898198234298712119121600213749",
                "283813990722136161291549863048737117242",
                "145674342883435800409720085703309806304",
                "279213701612457911765620901448710722042",
                "111804132991248558679887410259507440687",
                "164321621484971379227925488059890879932",
                "89637086202902537834611739065208402616",
                "130130250345964740928239850409860006364",
                "331343678643895481723486369498661231423",
                "326754424865495497908392540439306210417",
                "229149196009907737631971158617424516546",
                "265746738615575737284023924066329726154",
                "15840225931012865062542769234318350561",
                "36946705597430891143754252845287422035",
                "290214258595211124532745764948647615673",
                "46600091078484286212760203331909812126",
                "269253430091131566785097499533853386516",
                "223300331094830669995203704316363200848",
                "184173569186586077487251250410654645523",
                "60600729336818244895146274881482213724",
                "201618408616837422315544129674444332597",
                "154787637880566221370719666119471279159",
                "196844554313866767444178573727345059760",
                "161266085273515564684935634336255763138",
                "73636782222598521609393225808452290998",
                "82949617646320326612757673250203458451",
                "144158202330146263005679446141964411445",
                "200348436629644811770566000328165847104",
                "273646259408583383938546581403265088037",
                "59195987671009855927805749817472689051",
                "131968752243244300531386386402803881204",
                "113987070863832138618385817778169563432",
                "108940378523445855197254410737777476972",
                "281513152238324805078994954796435104324",
                "334740493862280166098547634045042831633",
                "298264998622110217478868680777827979847",
                "153538536092649645868770727660815291581",
                "198171579866257240493933246259605597071",
                "29839229416308446881370169348003267484",
                "215581537367216798407422787930734367492",
                "95300932037784659627546930454232195572",
                "273284580294799837327149108547258635036",
                "265423661385108936399674803910952276038",
                "264244525576238895241671209763918640418",
                "124569056875513015980598771977795023904",
                "164075873714727534461655527197095489267",
                "332593089966106199165366523977095992202",
                "145569371176908740722974997610372317906",
                "101554523612168564435668502997505387922",
                "219415740847057907257200606643303570838",
                "34930831405608802341586208283325314142",
                "143453226920015614454449130548626114655",
                "26641289734372746266739369721250806231",
                "222470899625936238486640116926632538632",
                "79226059719873625865649940362146595221",
                "50311874108552691760085331329503093206",
                "130277301166829104849193927658164664550",
                "237848898435284905594591777895803937776",
                "67713084235250598409264050937238612330",
                "20192042923789833130746207751873242535",
                "237816431129815731336645127319266613859",
                "53183556340313790300473828869359148465",
                "211740138371399450281614456849035040103",
                "292593325279668639362351498410828857111",
                "7059380783817799767004491806176293700",
                "331882401696638105005940603621727495667",
                "285554142337442566123060718076083441593",
                "39968670578798594389922659193116762895",
                "55378803380119568084541402342235803949",
                "85488276352329401144687549767617231749",
                "192525859031640513663324102181466196840",
                "89606857968190385739347309243646171192",
                "7499675717868899259732022495758762736",
                "246703261831339970645369295927914230050",
                "57002091250283005642896963741965140447",
                "334976319427864833294928782480646395444",
                "163305319814170865250161995881352637128",
                "314067609515553632418429696703742526128",
                "101236610256245760803321240328149367751",
                "296101722151063663620380341438220350004",
                "123524289098477823209599537855758127717",
                "142374131979855979661434668754210079481",
                "320938186091165581749933070907795320009",
                "221037815724153143278264984179969823595",
                "179665310265987201966666544804011706745",
                "331175565729587914797067802018629844824",
                "172121749714096158584260256858201152244",
                "149965397812722599703541543054860286926",
                "261792824633389094377351456603894134338",
                "5974418990801679812419083433259375702",
                "13401423071518895196926095093346797404",
                "41828710457340163254323114396778081744",
                "325006939377103277065231791254741667744",
                "51078251174015192698321801921570788669",
                "46010525858911867060471636690068639675",
                "149090241489731217141394466486307046543",
                "136965897011386300504803538637008898162",
                "59597847062063045724298748122228591092",
                "107101752221994532623293102814449305334",
                "66133870064869149467073811614875798512",
                "49271883698040329067098813288532172869",
                "55731239244875474214832540759821176466",
                "229849105411064972410233805042847421548",
                "276120539071500861557330338380231620732",
                "237027053000349899090563679030177581046",
                "180880912849313388990121566318608858884",
                "333744477966979450210220198298253190004",
                "15872759915437072124130378909021004860",
                "68704415309855559575489623414663509640",
                "114338858955454768887285357297198731512",
                "56489614975524051587249830829321388420",
                "255508371976490781586497719609947558062",
                "102351979967094510694744665513568847396",
                "92667468732044010796666080614692870978",
                "216613865487114718475688504961967946842",
                "270437367110168762164552895440609355939",
                "80083465504702125430731131082840844716",
                "338600150745030364202017565562465799359",
                "9109824133131995780653919459334350139",
                "280820313568810472597086803405261552407",
                "255580146341272196872455677696817710270",
                "263762223598575694286062090088674144186",
                "255078361751378312555489312624210550390",
                "222285023705455363807642419888044302923",
                "18197576002729694320041566352038387166",
                "219610675042369423882456273450228381343",
                "232314627130812736487681107601314774552",
                "111225040352639773859352390567745284293",
                "278803010425408942027516519224984280300",
                "201494932897555087426794145528254036487",
                "66566969250376980631833076737023094032",
                "260426342307874551891356151875488508278",
                "213175732316108308795413114201319050816",
                "235183550869275712558495363860504832050",
                "64946153702815262218347381696734233694",
                "298522626616910135571922230018696305776",
                "132390608285508330944903042954789175202",
                "4271869850336075941952557763238834893",
                "67574981930256216585379387838628758030",
                "71854504546393477787460490936019669155",
                "147219353829856073271365952271043253336",
                "143337097613654828888971894198177412863",
                "302465721625347326757059712846579013253",
                "285458055596573609208128071517012537639",
                "99641599229110643081272948809703591764",
                "85661021620887253113820701797655440504",
                "227511789200479118324524040336188510017",
                "199091014876695238330500856572045343715",
                "189036922453683317390185307770557286488",
                "210207117133623840486286369012666567110",
                "87339917541972361265420223370901360416",
                "290309378569570674216815468318220137870",
                "151976041185389682351889813188705628632",
                "121226026443348987026268834460735334158",
                "27875397601992270931786431023249204447",
                "7363362809774878112520536241527220151",
                "231791885654718764442220461553166735269",
                "253213745345849452928882283009918556816",
                "300937821889053535031933166802031747751",
                "212722337941610146144678228188878209569",
                "194479432183215099323682303244244086755",
                "283873233444965519935599014831039197557",
                "224146727351852101319602700119905426012",
                "117388918083729994896978109835356021414",
                "246758094201045054566446477526926657328",
                "53886575787804138614347028838512934038",
                "71778331464088478211009661527245058431",
                "71838020023848243063468541079074756629",
                "161530151012229639808850157205193288098",
                "67092901006797484597642238727389469601",
                "308023089453844438812889618503135727678",
                "158532215440221927217608908786246197573",
                "89951341776543245901122485295512291663",
                "217576337512031512141299465206593105075",
                "40761067931232480110829864995290423449",
                "186293994259763095019899182606903872308",
                "67092364873445919289536900749222924975",
                "29125395543895835819695245374008814311",
                "221775482042175845985505794115178725092",
                "340171315641266599164537626060290355633",
                "256508907040539019603023044566049785836",
                "857038313868888952032187583109543968",
                "178536932601353584033430925514352878684",
                "126741193203319456389587385828522803748",
                "218581231813205425523895708901583208371",
                "220419012237900876952942831018395758076",
                "72114282547190187285594009987647212135",
                "322789269350142872392699382490091385247",
                "248081800351002334221554956456500773610",
                "197208607054098682492819282703686321456",
                "149153865399817902594681350984603980270",
                "226733700731035707796596942528970535532",
                "317018486310769993583958101453701744678",
                "295059867344055716583613727379069308003",
                "233479305636092659575449351778360747604",
                "234838008253762508431195079580721741050",
                "258572518650205460098150921900984987054",
                "161794830250746850033074604652213143893",
                "77125711697443406319609399280602236838",
                "155899760567299520922983592107819363682",
                "14018528867846152167775441026295753615",
                "13692069859371769264379897331760827555",
                "222666545698001914796044015001918160817",
                "109328686681565660011095541414287300142",
                "183235049564705154267594595968236025969",
                "255760749684410381739152151959163415",
                "125700243725522004913440644321242672751",
                "238110751350657371741494314219080145976",
                "59544019260782449091500440146470808429",
                "21797022304094986530531949152567617238",
                "235703867959312303724868981490009046075",
                "18419525757395821141235999686702642618",
                "177471893430013869914087016440143247272",
                "114308704626444264465485709892316078350",
                "6723422273844335703072158683372849759",
                "97438697047164899866909375383406047550",
                "137951018436518056465855768535483314396",
                "163489685199593584090644834284176279166",
                "242273629933390954639938239237777421615",
                "140004896379173488390193660270436901707",
                "17784772684397119190319498574247682251",
                "27682044054122278812553676716478228968",
                "153478725257138873231579455456002680062",
                "240171637832222087528686426658525031649",
                "184322942419048820252639356774900900316",
                "222948829772924314186694424743333676572",
                "64113229567235444391203824360415500219",
                "308979771023200999934229623339220794941",
                "289779580060740517668133224281256794967",
                "256333842073014421028959682408240238865",
                "53082800908210324146961644007477298727",
                "194161239333158680143813676842580874408",
                "158554792168871214824081434711631677144",
                "263979557652641913931133133505509994600",
                "268420490039273806522340635362602417403",
                "271423435681958952196800851148769404437",
                "45939174154571728618514773880561002773",
                "324387599630489561315277226868970229803",
                "12496352158880341555888476484482673394",
                "168071394802161723205053970336339631243",
                "314002604858353163784744360916706276831",
                "279967518441465934117656218850124092103",
                "313525313991711164487989763098405812248",
                "289549319161197433636687614773863128683",
                "274038601737273701961176127494441777295",
                "74771993046288181427579701017056357576",
                "153446190888720160871340038158714639833",
                "235586184894406260383263057416872302596",
                "186692742709357592092388496179763481443",
                "254848907767117071892300563370086093776",
                "199940340574765210851806082687470250725",
                "35508274820015578956531176228727157816",
                "161696848061777764643147164437716032475",
                "180150307286050273373430173207556639226",
                "197921554459328679357224566740375108778",
                "3297519052462717580378016508192718879",
                "274701523392934419760608242884829022668",
                "276110585039002392037707653445330260293",
                "212430300822170888497585666073149844658",
                "130090851537641367940795764684923643494",
                "233145704797606510072692384681898342906",
                "305227004999923239547013192859525577092",
                "130108917803124724971620787923681343589",
                "289982902968595029952581585134524218857",
                "181309395476659172917316875677633524666",
                "338874062094287204027056282852817828306",
                "311219912842496922901909447650881089100",
                "259904125334354862188554288859116633320",
                "48892579956073918530923853743156300270",
                "98433954694366749014573438231632536607",
                "270837595787884973226725989496284500190",
                "154811833983278662871605570084025779028",
                "13621729441717616544432519482598096795",
                "203525919033244432629991235394394175484",
                "8008694893880518709259160301842632741",
                "235002852030876610598880050789205214221",
                "235530721355613717877987043912631382756",
                "156436323061417727358377195626075039614",
                "91904075031401802736112522574638141363",
                "284349627179982127094812070507288148378",
                "55947673636402226785647976667118461650",
                "82245736793845483754669675168366877897",
                "106789929050564614759194380458411684955",
                "183554932143566662932541278441131988589",
                "124007489555496488308986955465795328180",
                "77433546805197339947206382995736056310",
                "320754676415379137091802082825530657858",
                "131529084689850189430834396459392117328",
                "189674010675015964729823721921768068455",
                "160344419793772663332432481468603326540",
                "226611658912375649720362228384579766511",
                "92255603139873724638189150159073084072",
                "6306243851979767321488218081379684475",
                "15841988174782583898568844014880242588",
                "321211999896354372406943749993984716584",
                "168089137350102482821602193642479745906",
                "330643044331040881818483384498284515777",
                "48869912497880696562200589892048093110",
                "192196499221548643058347913600150721181",
                "297017324661036212884043138213278180768",
                "186842861485673123337012238569327671672",
                "111895707129612135997215698240756811393",
                "293242027515613879886983865109605368694",
                "123136066104214637908424560947116338598",
                "51400696740232851342859453163611805881",
                "196259592751091405752872484648930414430",
                "129516625559363049089297280772033379603",
                "262759464474099811692818449517123078676",
                "106860211931156822528740456784537990062",
                "129368084079386002056397115097943541771",
                "174844258405257444295516728414856998602",
                "302026172051696753740174215002625292252",
                "96231929301808369591066197517287544056",
                "88749262345396138837802734997366536312",
                "333493819000867754075062137914655629351",
                "191055843868909202110300919911764028359",
                "336717923403067916731298188164014736260",
                "235159210479642159210426936037986251036",
                "88511243840993079797395762973281891244",
                "84588667691804417775708665593069213859",
                "91252680827245332233823289414739363076",
                "91694240091863027104490954584300989944",
                "285624604173192715333638045500011367863",
                "133625596518386070196760805692687074912",
                "185877049371835883105775634728570196851",
                "314945888653816549613916048803610967911",
                "197566281464889129954476670802843290020",
                "195593069302626979496265587446320971232",
                "29789583788654559243255049247200946694",
                "105086271236423586019447465093225676803",
                "320207268296563017373940353864483125106",
                "249109915199640737366222183029948577430",
                "227527613447023262254412200492802008805",
                "272766414513530160002265458292553864095",
                "280043806693637765228845803493723890022",
                "295570537292779053665947798203637522686",
                "116714059273998963607681652341750779754",
                "163655557523585478144873263223442736429",
                "201696488425387181017316680941316199829",
                "85993673020565217701469309415886734759",
                "95863614392417629124596578037344171971",
                "279138711465601703819619616216031634291",
                "150298121857146904813766525907220006958",
                "194286963747874742840973022869636877326",
                "304873343746005320882514994212571412379",
                "66672865517020407155490297748831522482",
                "7774547290704007526304534194315769910",
                "245883301964317765858545127117553127606",
                "302819078548445569977206544328783170714",
                "171462023958039911196024224721885909128",
                "14375381766008797965907640709323881348",
                "65273150476037960362309121964916618786",
                "237817584599123678779072124077816749908",
                "32747764041890293477835892465103032815",
                "254640324443485037347325250796066622376",
                "322263203512754155735218795469384848421",
                "44085619920205395083953411411660143623",
                "276760449558203252786019732174078343800",
                "200143865141971714085297417090429360573",
                "19942144593749478405834109928925891169",
                "230918657847676874396915823901857075552",
                "159499006948328538503646877763335923245",
                "166262692158459732167047602060948233644",
                "122823271283236874692839514520025340868",
                "147348886241623561327983328981139075400",
                "75820740024730840212879041194523547797",
                "31559856076797622090580785555902786654",
                "319179340003807432249038989406523572659",
                "62202174221036198416691555910227108374",
                "217751014615448434598170480082291698989",
                "328543323682387397098999960075030883270",
                "150957654960298868810053127494216255036",
                "270644946240510643534568601169908657447",
                "137629245500562705214773323096887853257",
                "105271920243402921627592173993628184814",
                "259074506855477999278472985699269957887",
                "171399254874747049190717993148782071682",
                "8230220615971160025526151693722877299",
                "317735129884276829380317799050003651038",
                "51630983758451105681824438575363376281",
                "293971054151735735692179495360571851962",
                "311198366175966870825692390676965506789",
                "177517224572426016373660821159180970504",
                "318090111708796344598276326316026797109",
                "151035557627241901223672448783618729907",
                "54210533552609500616840990419829270502",
                "195621763832680480110890518753435191989",
                "186367240473465184010394639736865063516",
                "291600700722781757034957901478956815252",
                "332248872039779085731765593464195026932",
                "336738578757190167165784621252799138394",
                "237825625303569294928890164999726967707",
                "338049945270767242692599732961240459216",
                "106924243533112384560652004564956654805",
                "164532870654738840833779073196188960033",
                "20366154345036434772078831736478017400",
                "58321727592182369213097941953091918706",
                "208084869005280085080769786728592630619",
                "223116619534332813316833098401031459319",
                "209999189257337161984813121921897987594",
                "147196292011097946126644689878731319698",
                "110492951914646048987532544922465729778",
                "57429718359832390724023247852425182863",
                "285421723318297709626456298152537203045",
                "240393543889805592413661673218586424158",
                "87539386005730294263094733515362825844",
                "36193594898191701915637667077376828823",
                "13578186241617546371524058719775515848",
                "74679257368223797988181098387874832947",
                "222588377308210599140257845037941892797",
                "146820795503209620273478164345247080024",
                "278712412713415940227390108990808194173",
                "90759815926958493068530598561101092157",
                "274406401156549939080403880603681407981",
                "288606958337107304635958912807439288039",
                "131289023564933965980985132836220699739",
                "294497682324798642963739914937278850782",
                "15297993232328533906882797104489285413",
                "145613141441143365033370479708794039726",
                "78777642180239897954468809599736257502",
                "184536450898117064448559226917816567748",
                "221737576734540339814143527264454042945",
                "303282754982284030130388081677947493172",
                "325114304886117741143573248062294641220",
                "254337165923976040249426732036426202597",
                "9946957190377003452880264337330816575",
                "305753605851011117057007634897865255974",
                "328627493042589831384949769145501469079",
                "192567365529742034925294482759246526014",
                "135774945586186001654912005415125732503",
                "86081724007290264451379227811790685401",
                "17862006293673056096021459328043532810",
                "289209465089926972080221861345777977520",
                "252133903596824691428508479653310533202",
                "283238149542584462808416494850284210747",
                "87382220902201670919627338529906289205",
                "188429524805098599075981556096863690041",
                "256710295248794553289405364352001630009",
                "45985801054903720255432171887197142562",
                "243909917404653032442195507788522790562",
                "9537641317856454178032900513765596917",
                "231934115269320623731463363786244218888",
                "174955436033112197563841095242045560112",
                "229026519240866681622029572853083530515",
                "61415547817639612973321469979326470627",
                "128421387189085243806419799906938362905",
                "287413801506907628427248442678574281457",
                "284330264597833191980931556795378557186",
                "95636853668696506477366383597422848168",
                "19313014951401359171525905798948365339",
                "134016753905350334621332943816875052117",
                "190268228890879338563657250983398079187",
                "80219526991162515032374429564375916622",
                "257063087574046960489517765191861674160",
                "37733049159399736046427392479948341447",
                "152222923509896627761019520823101720020",
                "322642819390058553852439015779447557260",
                "285015395626372171069047003282535845588",
                "214456831454171137688445076784403195458",
                "333202654032578634778546023229937146118",
                "278175795496998715518270659502867841848",
                "197947476501659452934619296220570834226",
                "10850117021256658050281954297949127758",
                "61935001784212837609366731759809865847",
                "133928969353461834810695649274762134145",
                "52670247699784442111233185132689183781",
                "51883791936682780165683940714017354442",
                "305208973835555450274301022695933050139",
                "297484133454564413315341551637157296025",
                "245046022163388333630829905864981001110",
                "51440199917712105994964580012121862525",
                "94779238362423503732037934120374354707",
                "24864674116023118574242112499136677287",
                "14683029331690959283831259226340303734",
                "149253074712852946786589097122074333013",
                "260941588053856090985904336004897276647",
                "56305519113363608840733099754156537501",
                "230596677145511870075322363059057938643",
                "24524026522735808654611892350272305358",
                "132189708608566284744348409044151658773",
                "91256200515646480964824685958022383438",
                "187991513560944810124411929450542412875",
                "282087834343862086167175960702938405",
                "19133487129058085804444373483818726687",
                "36433509988273155661522687971396054555",
                "160919479863305790134756816614504269444",
                "127637377513326966801288831582841219016",
                "87157629987015108723689214535071120044",
                "275206378668622129502378627470855258027",
                "197750324990905521282381512769112657094",
                "8430244706796081335123248434560943691",
                "257786941870999184338556380730563564203",
                "198985216358892100791675117314609418777",
                "318184339398053611312063170804727412399",
                "83204045854143140117635155199050072788",
                "184649358139668843543365057367089105782",
                "139939239160932955122298527959564465584",
                "330760273113050826470559472518593235656",
                "336845212723363293457164160364254787394",
                "20175038218758039111957316376428206389",
                "265326935930482778573884593721107626914",
                "94297685093845289606133677682096610179",
                "157627119002421411942153173875081320953",
                "164353858978309748135271333940560792834",
                "148770164697476193703496906370727608368",
                "97775180146758637774930287659533028905",
                "111508745664604254341582210143528426236",
                "88412327858325049857236331126734725352",
                "181611303742612181705597147372024140862",
                "48228100398354843904486971528999420160",
                "78784510818175411986555162957866273014",
                "10527793762363802862535201527668704529",
                "19168563005349551025617943981378785432",
                "286419284585116508201638794480774825357",
                "56447699620424257258654031283033308441",
                "209046218033471784000781692009858627694",
                "20668243760635016333412042302512908320",
                "276154666484414957261592228849879786191",
                "254062399728063683089454917070423831630",
                "50590881839245285950935650329214070317",
                "85637428284981132981217439615228926089",
                "159581496398573332441119283620170465968",
                "329019235050878683343012544533108146920",
                "8850605031096004555087295809564541508",
                "336164363595942482063762601377340651304",
                "179645590831835450223855068731577510534",
                "163429145801241467816082079482233134747",
                "243626264884695629131969863025227035302",
                "109940497508525493914461793001077761423",
                "333460753924114238322737987856633287620",
                "210480415611770530875530647446783928852",
                "97438290276142472789037436638253331663",
                "48916219001748463789628373483557329261",
                "200137115020199844151183593486534869094",
                "154825526149435135989723900931585673601",
                "285096137223006914925607289866239589988",
                "181699725866016183959913640334657974167",
                "295849548482626999778402638173768219312",
                "181855966199332453781566361879951560035",
                "272452505233492302146304404883643515886",
                "174115594572425797298008544499628897684",
                "139664206938932551247718099567769073206",
                "276965069984944150917679368127066691372",
                "322557704593531676619977623323968293104",
                "108432536204383942129529715961723264882",
                "246040798259892517856889270465892621230",
                "207386314120042452977065269725524672488",
                "26888169225580352826426463354870454330",
                "176276295478658500550101825618330217374",
                "32418967531616622460589092553614074144",
                "39052018113144631071635319162066105766",
                "221939396316522424122446994603017109031",
                "149777160140270056144099051795284429299",
                "36518861425019239992838164857726215679",
                "316181288855092173700751791320333088119",
                "46621817529870827146356529746129198340",
                "113035060205350688871576256008567682267",
                "213921377235269515988067913935147938354",
                "299408479609404098959136487812395343554",
                "92505485237267540472591203792235813914",
                "134927278978922785199269361951428707699",
                "267577943340943176316161647340485347602",
                "148001551775868225560717355806529611813",
                "50757325701030650256690635207964400553",
                "155812532458245393435192565994201318613",
                "260144558384312207725016728484330798347",
                "82400474017613764203605366850364606810",
                "325016353758684877607839775675161610415",
                "120269898131151817782563660073719139465",
                "305815001436293123830721304274699740179",
                "199439826409292435053427826699650849057",
                "292184248677827774358875615609347813247",
                "192162939913170863792289636751227876812",
                "262285253968002740306149432197882073492",
                "296179857323680593163098812519877941336",
                "278794012372675980528605359766859284207",
                "108684498492090983827656689572468125020",
                "317086710632093518009834104969613476917",
                "209491795747763025704637805312159881681",
                "294020583354063580075801602216851861929",
                "330074426857271988950923796682988407369",
                "129943800012353680828863851213973636528",
                "308096958641768691879138960114452574308",
                "65225617072501267243789972736674733436",
                "69048867706109599129011452881267570809",
                "300142997372652047449196663341756030401",
                "158634057194479714541013112010480043905",
                "171165066867733086310983813513915898949",
                "256744823564261621969043292729886838788",
                "60658002311228375198544446520194869174",
                "36084188698674573773810521382058165188",
                "275373384587649419209928406919520852077",
                "192847738716730082727189767923299031208",
                "74521885846885535448307166464101463226",
                "194035082773578488540300670460872551000",
                "81384121125599254326587681855720578519",
                "10772997450314883467551985301962564054",
                "290398158281228332988355409085387906995",
                "255361787304088459232536893767105281918",
                "157368343048514006581533834943379333924",
                "265553681533616899508018636875005692046",
                "301483907065293832154637525775277467969",
                "252261971605150562984538463544813148721",
                "157184217414497546719488033364898955042",
                "124496213665722504929830110975868909466",
                "53739781613684062140227050571411706969",
                "67289469075635534602250376156633985936",
                "329386508120563617349704344613238059897",
                "304166975583446583266943575286434318401",
                "168574345848275745178696732572819937623",
                "256688634090276079837906577568321356256",
                "281198506290104007994123788112721229151",
                "8502725886125664103070919890685884133",
                "157398452478361205999660484496697724036",
                "279743224534500630264842139464300535743",
                "189577865241772029972265546961146404180",
                "291896666916653761232187588847409387624",
                "96628254253361650713946976410353693240",
                "134052355193556911045725781471535578064",
                "257717470050248933415267989477109123188",
                "76356511244571929279047343316869749798",
                "162044174764053164694030231715872866177",
                "215727180234833606172209460201542584053",
                "325888796480499427262084008366518838400",
                "225277805644880651623350027794332995756",
                "23369218271893920754512404483660506656",
                "191572551877229289588522434686804877868",
                "273597050402916578720631727268477161202",
                "208891857486407152056052428669338233502",
                "26714498281770291269261901715432724376",
                "195538062857375254902372974748277527418",
                "166846285695090046713554803005317948728",
                "247158500238561394925065416418257146606",
                "317517341327363783529221238791573854790",
                "177492623555554794361696460955990183144",
                "317673325382660028400362897470833608172",
                "243644957823222039737117894657489246366",
                "216330164920352758495323620347694680845",
                "248274668575511813043660156523706387088",
                "272959399752866282305214443210818476988",
                "47323315338096966848520735629105744200",
                "13731561067800226572879772434739691275",
                "288672638370907226507309054610012771357",
                "238446464461790907879905577706023062511",
                "306086124399529045149978923530825514977",
                "160900989064534226018801940044498947840",
                "191310535719298241541709907701875157951",
                "19143312660033776870910202936378761442",
                "72067495727381061015607691656113087774",
                "116529414391608916661713691834397873656",
                "26300872152860678226215779703783639474",
                "217488534128291501390513802628734837597",
                "217173448235799773423835128059283695342",
                "182157938658496092912203417198734303283",
                "320566994321925464658639934194292520168",
                "131263459502992817199398328175765468776",
                "197815295705508418881360588309738039408",
                "323186984888556701746040864195022882732",
                "301094331657647187743092555170859310521",
                "103408329393109379903717618059337259357",
                "302238051316079683109538708477762103352",
                "19750741713689268535914486756102326582",
                "59156107893547598808705394004044769612",
                "224667461893290849485263990230998282251",
                "249017338443543124950885368350572693457",
                "15806485421244441448786063827780355307",
                "108064859730788236012426227561868630140",
                "334850383605658369228668223521240649300",
                "301708154565263773972627880292726309973",
                "303520885008462683920980919704846555225",
                "210234373190056637184820619914736099914",
                "208549992012563191329567117736983617740",
                "225537001633890768191731626077400582980",
                "222965488973766908306638521517974987471",
                "202966562498388619829742231952388478684",
                "324777546123408148325804083326516043013",
                "125244958232734094325374085473760854456",
                "248845597720817508275575187970494692862",
                "17976641976816116626125475960064534750",
                "103364447976050004995239341798764183628",
                "130942119413717285962531285095816148165",
                "337459614952602239018289415588206416555",
                "266080056058716663602368773408601963254",
                "265955524075514134875180186456166296528",
                "162105062857138943303203805448191980648",
                "93655966058229814765773772012203169706",
                "246461379988294745944153209194250393567",
                "8548381472992618775210143908222582407",
                "144903969989798979995928549790042792664",
                "44911351588470386224238947906951308045",
                "154202291594627050893071405970787181372",
                "92124765342800169041286486831527777380",
                "265022531784431802499422559480991107913",
                "832344814957420998739665596227305691",
                "2534407976471290979354498066148832960",
                "275276622367650364127261944591279489680",
                "45328504416923229238576403774800935541",
                "250271840032846801730451938253804411096",
                "265982309838340213979478711647702316538",
                "214345735153835116604731840516806183271",
                "284829927110387388605530241271864078318",
                "45343517728871626691893465486123090998",
                "167754770446960584757302283098287697558",
                "280859803238964518255825647527259027005",
                "82990545117235765067797910576323564065",
                "12662405882185054679761885306815602326",
                "207022663421220188745852143131151164877",
                "202052333326683670284034347318599379044",
                "24931229985996520138952526341371485025",
                "80185771166731949303480794871917493899",
                "83461933946022424793315034891433697902",
                "325289877698152292162654063607700348689",
                "183721717635220913919197359173906841999",
                "196010447104845903147802394538669148645",
                "258820750243835751162853152879946508190",
                "280671617085891231635207712742015018870",
                "70390950093468952772033781825503714614",
                "249572245215718060927263726164998707604",
                "229360670648269496260376812518269252695",
                "4072056801592877860387462968781656326",
                "128074308353061803414831991432100999965",
                "227020789656095792631052071584944809958",
                "106837022371203875028973800415293918114",
                "24505735493446035176692096796231362775",
                "261256910757023104222271935704548569273",
                "232666606753173263179156147245461170420",
                "328346016982533191452724042119323032441",
                "136905466104619466775984653777387881243",
                "299292373630322972699457946287963541846",
                "146111234186315704241504469391944666117",
                "221239363128428070784815470030053940557",
                "57921837540696465062187100463809112619",
                "330364913734999576629339894221750902243",
                "39102313247287021674646037203269760",
                "84258358338303938212928927434941389394",
                "304308733468011332739903667188254417557",
                "64362918132358520497731661164537551276",
                "93569412306606209406862785984235031581",
                "187233481116523838498763272461010373382",
                "273401325935128789732745213101565650549",
                "117151239160684852703438183922927617227",
                "210048244257501985620642609231995011462",
                "314258867681272912992022872107823730745",
                "250163815855807371432385321653072914141",
                "176077291442520440974782205140503663874",
                "307075756371588358375990277735856986769",
                "72316432132082320325183777507806981104",
                "318256214532020255569132140886835629144",
                "295491735122370088331157750447247453752",
                "62366705317216501196948086985288919055",
                "320171003187375583822429103276772924672",
                "215042473468900133472594225597862158507",
                "37352808634660190240615907976101136220",
                "224464785197962430255506280781794194191",
                "192322425474238900347133697010741801337",
                "240009740335370389754074733113785958327",
                "140167498474660490279930733657451307650",
                "212491970604130187098151029120737320650",
                "10784130419866340517361253278767722877",
                "335616235908458196505408668992988248108",
                "303226588103946825285066750634714623881",
                "31360637699097108961321265094900471250",
                "299043414593705908672069473317029075080",
                "73918904670005483060563969035120139146",
                "324323938583946431079022244302874484317",
                "295692614177670074634363222038122254899",
                "52557882093649778893232129145286550401",
                "226272366273429631719758746774906829649",
                "326483342690306153170141777287501022178",
                "15450329153420443730975449534049163421",
                "152775602383824292997739163125999216167",
                "197351368773915537365545405472881148052",
                "193060854125357043512802748321386502699",
                "78744423387027420889534232834004746618",
                "333360635628813137912801840619203461166",
                "330242261123565311845464621324120789874",
                "92741523320698346019333098983985126582",
                "188467145594580672280329095143289122357",
                "3710700764778946232442747553586735116",
                "13329155588768756436480001616594498358",
                "334820444061998352828109233903868874955",
                "289871160442976883551443844124518930090",
                "161817819153839123628599491722948210816",
                "154987898781631702699397769783021203609",
                "260596531077926200666607524140250968325",
                "118178699422277509843634773518235611622",
                "253921479988745806715218641886240315084",
                "173428097715573880775990735118952846519",
                "272658278974567267981922750203970093181",
                "87770969530338242679555541832539560160",
                "196378382946160257074040925272183547495",
                "243098526104896137103038725899119613533",
                "222674480225827479142803130894966684314",
                "112629519628834988069553206118429666377",
                "327114280786507204973707958847012533833",
                "198048727006813139268944496266092772025",
                "51800334413409891150409670947774116079",
                "124321805197752178249851271871523104063",
                "2990493011661460772992885200416225181",
                "334598272243265811711888683301830703416",
                "215524035608139946644253589344736722505",
                "313690194115385880220300926356908305305",
                "217499360830837886855572550581387597045",
                "74559121642390646082414082031013429879",
                "195837338288418727436087127438436495517",
                "227957946131477889486621524472888063343",
                "306296434682950072804977770150281200615",
                "76331423605850707023613548229279224489",
                "172655224646211399493686106718828242099",
                "59379359770911220328544281432231651538",
                "157694393721546803130332850092150884237",
                "113909724888097114698742815849965897536",
                "264245625876906877714499260097221644742",
                "36002383241482931324784668184195746858",
                "27836943602555900866729843973240023879",
                "6465137007990713176102472613069047453",
                "115416379642578894657612103907548736145",
                "68535323452795777647834643782460147147",
                "25895415579486519196341180228927144684",
                "68275373748932732505182415474179178060",
                "231261106089288310075371861007619554254",
                "19276812543182956751260296964713323946",
                "25473934120833096930878559704809760607",
                "110553379759922978379721556124966631552",
                "303534205333238622704927883798062864512",
                "259593539380398833977674628857308164270",
                "226666363217134245885964233586881999147",
                "33550042407502735964770988636363072204",
                "220375697075014957697281006369872906112",
                "150615431894597606513311495328631634424",
                "175160954939912519827601683161127751889",
                "13301061343369246142473672963270934026",
                "281990076009473075356520020527106575285",
                "31277017408420789270990291500460026385",
                "92169599275416713852409086286581594729",
                "186830515199285542632890462890456186661",
                "335600628315508118229232604404601529021",
                "146445738452343253182955271955948697567",
                "221162430700291222948075747210321059819",
                "212383885373913542615546487653396507425",
                "227534198011393016308562211372400247563",
                "212833304831416071756008650380922487408",
                "238119495455034008974509012080857611535",
                "329326854482677823281492290352858637716",
                "95600875482300241317238652795776627083",
                "223530858211079698253403439515795702015",
                "93309170055588716182263789979703095630",
                "10546097248325244990026272100429724160",
                "303932824728142990638754681838695887744",
                "215433750357794981986943329961261897669",
                "158930425370201661473333401153752461980",
                "229417978949334642558980078979119195542",
                "202322880689787252463137410765967652420",
                "131662248517276139900715831432826685736",
                "43515389625447510292739044329156665226",
                "206147747602902815607663082014517091851",
                "220719478571563534658667766585023084003",
                "205299512651221876977831550846385435298",
                "130684312474613734776681044764585506819",
                "38113975126605269997622268366513205335",
                "202434135661747026373435280570092242014",
                "231141115064371036846685240979841799288",
                "271630188716779924142173317608124710378",
                "261993417827602786118516743252788058491",
                "220282539171554316331486606150593397183",
                "294036738236143956215313278874475945640",
                "290997806450363123644689955138721787894",
                "189415006021423639250298512152882804455",
                "187677796236399274907908461228982414828",
                "300004781559358683163198439325787259087",
                "334237237916333957776559316637585188585",
                "247758975973682635693946775843659286084",
                "158789046969396620263972864128372995852",
                "38774287438179817523423641777112791761",
                "157434447532087754200442308021314708905",
                "512204308365897255440723619490312122",
                "183705759322351865255345895120644077532",
                "162870427031371283465741683455435344400",
                "76961717352037126056094461034452980319",
                "53547773136075747092058556515760341096",
                "134224456747104813506255626163630880705",
                "218536757326521298429412307089308180451",
                "526982388640182559861490569919270230",
                "261383202169260788868428881126018914443",
                "196144631911831688454361315114337378564",
                "29698632296907466656878347387609202287",
                "47209006532385869205330290894966533919",
                "286824759043317329269242247931142612977",
                "258723309556237808685768015413874005662",
                "314332129266941573225589544793324687299",
                "184445543346885174139143205532258388510",
                "306612492115452439687722118393512403611",
                "191353686081841283573902217437095824677",
                "27557441502912782952009204987344493678",
                "165460373489643580504588093606713413742",
                "128062384618843757452331891359962194701",
                "123864430787713322427352913931123250747",
                "308509105864095409791439827261437305150",
                "119268259864793374125454449454649054946",
                "151789495327304363826298999987183595515",
                "38653017831969203057886638914042908110",
                "20484004956999941435051051303551784191",
                "208989288004339233445773739673739718222",
                "327878742870627208446587960455843531256",
                "259983608214252265737589103775971888452",
                "45122425050650549122815525533753282376",
                "247179360150819655850245793133664764147",
                "246979690979428488750089169352029516894",
                "208992336420898538090333890196719284999",
                "133587172121634365878976030290090278180",
                "97877934491344697723482397228319376072",
                "264971669067726821950321847010056764087",
                "239880910740299726392782630852772789620",
                "53029342462317554004753462878024868079",
                "151503178199792558079206927313338251230",
                "273481152272110954155814966653017338982",
                "234734883145280352030711462032960174342",
                "66740032373269861908814194918141977336",
                "210356071502616325341353833954784166339",
                "183410864150698366005375373921814232588",
                "209021325436182389980847490720149098869",
                "14289147144009755394822268132991692015",
                "117902480525742441038238861282529642024",
                "202614901621502673225306249122827408251",
                "338876865581579967598015763187569731910",
                "52723376094507318046283722268592398279",
                "117115971390373620731026447239088570650",
                "91306840387225403679642436127025926776",
                "145288570854500636409235738481120148572",
                "300676318292742231255631091597584963216",
                "300785112103427290406288836532308205502",
                "114724293139842136447996249828597381528",
                "137459943425100036340220917983877170905",
                "48009726047704290448589261350144827823",
                "312572564296705652337148912538318215632",
                "242564452968127960161159200566782932552",
                "218568403825364708715543513104451014085",
                "78672626311048935765740074809509730754",
                "18721432756660004839457835019721317529",
                "55551205152307719883973724279121422500",
                "270003556850533785617779525354743261182",
                "299306874526480102789235216954957444362",
                "295387766889933122850275524460795019695",
                "261532509382521812788787827468230427849",
                "240629524495874133748576087713866689878",
                "53230844025648127871673729649809994703",
                "129210895918355864166387390654611759336",
                "149183401130947092912851372403204847677",
                "229476470827543891094260843039091589770",
                "317439758581949548133956925410244011368",
                "337553540405920795541714535504873403957",
                "189195860444683395688019174707225778659",
                "240700661751490665655979080926635079391",
                "205737708160426191082186371929625681605",
                "325449897135140119399859708153537785398",
                "245402566407028978282514131406412826416",
                "159769454775973953132020869112699362804",
                "176656075335415298184770858490564171574",
                "107532724672858748459950382175218774443",
                "165252130352423093074961895227588868668",
                "170873296960961644380677754809691950398",
                "323078532061280117889822885868504475828",
                "129014632510583986457885114353227577995",
                "317865217518940466146657144223227532414",
                "156788828705356336862499730704907610675",
                "330280493833283068535858754813416890467",
                "19352080347556297457303368197371234435",
                "71756224052051728623000981402300237",
                "72253367225048450941569089294227712493",
                "245313672095082052216327628847981303592",
                "314669087802337926408253288355914007313",
                "209005262379159920048750376417185139186",
                "299860963316525273625885000267509448436",
                "189478679022762652333924237627312031467",
                "202078746029111974300884026875952021497",
                "128254933024302351065213991627458075394",
                "268756760874755644134305603021538988414",
                "203175935145457353755674858253120580827",
                "66354370911681577799762665699225163589",
                "143921441341187367506869761397696636334",
                "158426846394471118854622783811086312100",
                "181286600684076352033541254941642831095",
                "218482860928596570604348372516010842188",
                "258758104383211193615599198701939028841",
                "179948145869843139399542155858446084142",
                "35145599935484285777179630321035404843",
                "272088769583383587135932689493123420012",
                "73477024836637402499131924893130617534",
                "321767652711990363539109724918397597614",
                "331531106665027507299310343004529935661",
                "132593960489841864613176019459797133403",
                "144561829045315116151285758124603390985",
                "86980916399682746041640756523335399563",
                "135992321838895959976784812403572454046",
                "84471954602410238779221079731360957338",
                "44864684322611155780162243834976383528",
                "209051479831602191826706155649716227581",
                "210028873530624111582433464055736843431",
                "58770366794205548980816361603024193784",
                "274206225345877245851187300125417738449",
                "200198163115898733324715332151805591170",
                "222138096452793975565569711299653547282",
                "103779550111228067520144150898781698393",
                "8302136083205290482826775547298935632",
                "265002687825592462098812967740565915828",
                "151267707893464609331407579793573802683",
                "232046571089847458939983685974409337324",
                "27112590086874568298054063667918286728",
                "269475506197591385429966811179568055456",
                "262247477310077883583375265066448310761",
                "115380900067224485907238377400061305971",
                "161116529922639544649670413792766147293",
                "135685491929600440972806939456659802332",
                "301335678292493016576257196541989133569",
                "306515828890500966060943274996584503003",
                "134111196302348704920042808912046461920",
                "131420167238137330292232009679646633599",
                "207654366421585201864574751914534838",
                "140226337337461063305110794568185284471",
                "119086914720893476178178987259707898943",
                "69997986553068150262413241577416607473",
                "162581323693719112703492011729944426478",
                "238574034890318301698695003887487323338",
                "203559065618347937619878301965808240774",
                "338096608529156946408646611436127060465",
                "77624013965859691496183820984004219900",
                "203825729339254639057654758768068324012",
                "328832062338881490059042639888619402135",
                "179751272663278463764403879478579863144",
                "23621721051905653546588587786104582281",
                "191300898671304338147728350837152637862",
                "338727168196423050268930258561676861698",
                "57346571814518148688500864262912593208",
                "55652062488000619368075625881611421261",
                "157129023461821144442306603794881364115",
                "253557119711443860627764169828749249498",
                "161062395666391164880811543248719544446",
                "236938272466357616021491719797173258023",
                "205341004674312630404573312510027422387",
                "77976780776978445600687704549235824729",
                "40638022544316577904492205650540551747",
                "163496875003415394388765478093448493030",
                "292241515220607125688701000552703932993",
                "124193250779424216764449139781394698980",
                "304603406568905254836973357500911853905",
                "62379517098472059417906352961908305835",
                "210409173314915168880593048056385331021",
                "258730442568809394101749986273963778453",
                "128163212998458051583150992216457337252",
                "314890324801663116343451051766222744036",
                "122070781585475326334263950817750570607",
                "141090295386026567889759334111294822058",
                "3365342120856215068782434747975624912",
                "204014701657967188983537498479339896669",
                "143672618720739530977762406486512589735",
                "327661781117832129992730862426475655543",
                "54642899039308245730288743430924059411",
                "103471721080779279647346865517091058740",
                "209765646419578701581573371886783992406",
                "175309101398050722465542671379858292129",
                "95245919936267656058452254709684464959",
                "246396771677882982994318990535555877560",
                "262050465755688612617691400725138589244",
                "256135217337607821756410428066480979158",
                "256692588299510207069966393070113078020",
                "197571676805004098999761826767170583438",
                "206411153946387596605268196316112020936",
                "307972622863070390175292880078859617730",
                "93762509043108144467760077126258224310",
                "321747459033863334376673479237915422124",
                "281786047522778418241600285288726496052",
                "35763504897584914616157979657326117813",
                "41386009062391258647112637391894733936",
                "301101086377238687507909644064155309334",
                "116743089363386339269146607425005483445",
                "24346109634557765891447062175973392176",
                "116664132819214071618866312585236247",
                "188204726760363496873129922804616826160",
                "334976038807614178756614240901210606044",
                "271473045246658789988531374524621774145",
                "175601617514802062579708795063745607715",
                "53742395071068591322198036673175577327",
                "254402494896423615174031138703259378745",
                "106519647555373941397476979029223802790",
                "55421309182587485089186393222498834984",
                "47055950731049111757656436135402724731",
                "198358939716650664122633306545875992461",
                "17410224420539089576080692841711277360",
                "257130465414537223936112812654969520819",
                "20028632211194046218231673511301599559",
                "97833259503569535518988622042273309519",
                "301760202723767728633991063554441416676",
                "325556302028410134139051177893628190091",
                "248392292976673053428940189591211485781",
                "99018044391344744465434881047814761863",
                "222325241497809616482799060882901057542",
                "167382770021443272607702418884406237734",
                "242278002190991223278673676035873402114",
                "216123503466574936016592849606726962390",
                "214452426571234044299605762181866659235",
                "31286236217892659904239301271047943880",
                "207654686839025633764635232189243499702",
                "202473478746344836313586992291770593534",
                "98536777046000222145900637227533694396",
                "88558660866973752480447475048347004457",
                "80650633618968338713283845480224375267",
                "171194706458689300871908891960088784219",
                "154446265493001690223446591594030049868",
                "129169154431371249633401065852042871635",
                "276790608718558376948759075480268085704",
                "224543430072023784803005094277634394790",
                "232563901487653464445205065799414487235",
                "146962301821323387619463064244772073435",
                "213276582395426411900090298161154044026",
                "95092420627307758977832644088071419828",
                "118998366760427089073952863765032647733",
                "39240033286704689935604931565347623060",
                "224383930454403725817423934913852537933",
                "278049771124507737648422442308915288449",
                "130951426814071702335278559189538929033",
                "231072619571736777961639327237304379017",
                "299356133638419717495697419145943292217",
                "129572088741629598840028297047566361565",
                "296378206105852763495168682992990279094",
                "17702903825554430045694590712685959818",
                "226640463906523424747913231701007770726",
                "139253212408577061273663302428967179104",
                "218067402043310630108984453498460354819",
                "160268759005299559672700471533641219720",
                "48371861758125331285961936630908290146",
                "159404773839146502264618741912876321142",
                "142475664425528280238702327739896307634",
                "146986272978968781169888654296806680116",
                "62884914077695463859378483079491469504",
                "175970094988339793103180377104905241816",
                "220408918149975696481265912787099900581",
                "196622121172937825215861366530659197598",
                "38651281732135693418433571740551953286",
                "212590827001687242793861519173602311177",
                "238461268095800033369227647795220602212",
                "152705454238168957114992427704219867927",
                "109339072689078439402451230793070522609",
                "291455173468272636766492890042871625016",
                "44435236273313287609203622103317732375",
                "328150467094347428586344206839298204295",
                "65340770688821400544266300088492461890",
                "334539379550259140408590272009994668462",
                "55519896808480336997683038000075089115",
                "197152568970636884058159327963236035238",
                "1505458311467408009877929840703302323",
                "300888945447114434471014625105129020996",
                "125624008830794538323208241756348436987",
                "207328577640976323751075710859675346150",
                "282171847494958267629285851312138533634",
                "220073481725714939275295894357694798731",
                "53376199647549670354311611726832801784",
                "92320301432197330640100531383069950117",
                "162396274107861241559328272542421637429",
                "178257001422618594667087295334761858063",
                "329142569013215984400557925964738923386",
                "185109093603833780686921604089547918399",
                "281619567735513665060362579778315818019",
                "66519815048170590155556953057170788793",
                "94771580541706620927531908491179760497",
                "6382986181562225858997909900536786748",
                "23609055401832652829360515756511674594",
                "185375273670042536001047467949976440266",
                "323348228711938911470961006041519261402",
                "131648596531642042289219131013473344795",
                "122067973382128005710751795536679740835",
                "335647271351657074791560564910832098183",
                "143400797972867841024985616157464454618",
                "10455084314127236970385396467396336838",
                "272631444500268887468046604386654188028",
                "335867099618180068901531053087807055629",
                "237449190801467946738238891172467457417",
                "199974885141226040540942948560177326393",
                "160663942192908974369054052631337025644",
                "111308813184450940391247743478396209329",
                "304214850861865737689500510487265611546",
                "295606525138995615175175007427303329345",
                "63603181020233979674542061522025738424",
                "116214475020340656111127738162105409922",
                "34029860530943028428922516485758879007",
                "96165938828747857482968078344543132711",
                "139246991922105823559252356267036119204",
                "226142849575038892460251784178222302175",
                "55650461376715471569871466164198321108",
                "41771374464859661339518818512379523233",
                "248520851490654600930355239476240058250",
                "179223894313692860097408534129258244190",
                "197866482869178208278196875868503987663",
                "191611166655192562982062811358664011808",
                "179805174007891574838762970863535503566",
                "26198383293035896897924536883970340520",
                "111950039735771883526519649441620917989",
                "136696363226882134733889506875484673264",
                "136656936970106136526614158467102435075",
                "260724005520018169236174805759980967921",
                "139836986685732539864183864172872208478",
                "21459553078793420609493956791409734839",
                "35934335019475861746385182009645167752",
                "110396117375851249189966446816810503709",
                "289471661542191247532962885582706352246",
                "76466500899903314598237918385513178266",
                "48811345471756757066289970173326018505",
                "300270156368259267483722443724116477796",
                "175350168789479638045548529021926783631",
                "314251785726018340441741903135492584051",
                "187221048427467316853409515095209091238",
                "313089930841169372084065067157383765418",
                "12230179943372398747651512491644574779",
                "270524333004260313107472380588627822063",
                "314119019615727751773526039718690339812",
                "330625888683647961352778492497518087867",
                "110125133257529188981645365455836745907",
                "89575280470941105058228926029487271413",
                "281882189332273029326923537948463637020",
                "197134042602903191635269399755367034689",
                "144094894237317028051087148065239799733",
                "92609668577551657775580504311589261092",
                "111004180654721076349016656909513929977",
                "206317711670697802755240403085795596175",
                "266530667835970910505738670839438134712",
                "2671356208719807820579936712392430015",
                "296414873629584341467247912833803268541",
                "33710676463082741343198601535273739038",
                "184472631201776856814297940969135611830",
                "45787561027953250585753703284636963979",
                "134445252523709256492987005092560216309",
                "214094002405489698397330336501049200475",
                "7379497026959348418359562414443562604",
                "63908384926317563141683250252729261625",
                "335255512271274981560167291192353384781",
                "184895600069318656848258723420347216294",
                "300609366034732736117148449456049342572",
                "119098552235162573234217606599371626745",
                "97817341783390818098848695933801536739",
                "168146334419087366099057120070316054847",
                "228485468153019822301677289530756092048",
                "255570064863603624146710027332307313828",
                "235881144471695118884575630941653511594",
                "237665903708777976441800364594238660287",
                "121361990466637450024709391070722920424",
                "147111374005683398085479458428165311429",
                "61319440937583922986235745050464840135",
                "314948581261749443913192925495326905524",
                "309789864241892030997820647009991002935",
                "315932531325251362889027946731614809459",
                "99089637599554430463816859763335618857",
                "101906905330994609731960339598413070632",
                "277266998507456761674622784429969806153",
                "134219302027955042535860571918720292712",
                "316825651384522181395710892947637177430",
                "209868498411748192121107631728432025879",
                "142363773826039380375093874132031840834",
                "316890853554457779554540328120770648737",
                "232808859797037974327887696565493675197",
                "34922705658289932647886110635509358388",
                "292437531149536467314512873791816360131",
                "184504174546335104264445476931403302959",
                "172853531358535621390206427899352534636",
                "300173733063817813980052755425969754842",
                "67116578364662548231043085550944134343",
                "280432236239379887216855789294126021381",
                "287023516501765388834679624446181864429",
                "178939186547342020010785820656995106765",
                "43626700757817011042342669958069741513",
                "151442496001760669933489140171999769943",
                "161389967835110551949767842375204043698",
                "142293137444173591703869782245725400992",
                "245421456217846681781546713742844238049",
                "304320510486734739615547980003129401865",
                "300339766836119787728500139808970652307",
                "22140347567942301215396672266482829481",
                "103285428833810801441428174731176309429",
                "11183276436863196443793355187767182027",
                "182654165303028242729109992043282647610",
                "28851332316924095503618272420058437659",
                "214428079872912312222538073660782547138",
                "321783713218084728257799753446004205232",
                "323086002767571008230889102573574458754",
                "127524528757001127164493767847906250670",
                "138888412580201094915816184793707474304",
                "314956387046218962460983595568892918170",
                "97355266100404306965618587434390260858",
                "223379560384879612223644312440314918449",
                "213347726288620598659166789290924223684",
                "251918029849790454000311885999405096037",
                "310282108605623124794915391636252565215",
                "127204508086924940669263626291648716840",
                "176690075643603498318795759165190758744",
                "21460058529317535272206173820202770701",
                "283153354675133162039884510434443537038",
                "268171677064404198870749739688067299663",
                "260903898303845566405102986085831452710",
                "172067491753877511993221560981921330639",
                "30194880738211970726567120475120880154",
                "332425372505939435967043357287861224434",
                "203926771237881228246452547013507622373",
                "203879762109156731962223454927220658992",
                "95528776826213087434200210929447789255",
                "271949092664665834999027305303048505620",
                "68886877956424599727345531084623597069",
                "49625889097986804830281410495210625427",
                "30144677433155897864147251721356389072",
                "17795036837158941217238972233577451911",
                "180887806278669966958325672489733871735",
                "337605624733685446377333808902208291656",
                "348894591975074250806482654643059938",
                "233834318002138266338930943636963597366",
                "36173825568907903990385280182364754023",
                "290064298856429580230415170085206364701",
                "60935864590595756320920779468310219886",
                "250816763892898376283969738482186944326",
                "243922068541199134031025779616823200021",
                "29021982890224200954049986895807398994",
                "150269242027376489154366417398933093210",
                "81152808614616433116727391978618648149",
                "240053160401413405977324896266281730915",
                "338248183284540441764028167063508288341",
                "164046285110145169609002877259012231580",
                "179097952332724209594019311237431485806",
                "142447658092516964362535585729224721008",
                "83159283122271682090617183994845084953",
                "237181298145617746935717937960669057690",
                "70058609119322404312992539775176588079",
                "187387797908367366624161118505365717735",
                "298081353046856655840892358549975429588",
                "51530255501560373452781334754709020704",
                "172746052204221147314046118876653414511",
                "188373741438574946789599060775880881973",
                "36776759750505768402175117047958814117",
                "303081295214067873093084831883157578016",
                "110817593010503446232765493044012137619",
                "327621944104432441933392360015596878047",
                "60388357091247727291917083204399429365",
                "66458403346769727474832076224955230666",
                "321205796930975652983860559677442108447",
                "168125320796600821308028473534937326514",
                "256114453589228416437813237725014211481",
                "143634684809040294645609402496357595250",
                "110164349091254032665358372865878240088",
                "269346554423057097052541493028079041819",
                "302240033059705246823587582004679009885",
                "80592245015356766835301280474767780417",
                "218172905540274602641655868111239126658",
                "254865298586370850331229260549258581411",
                "280842081964778116492399012638275641797",
                "83359460971056564315277570738384493684",
                "187462320390160067002848784558701060784",
                "228549800899645847660928171083127569660",
                "274251315998718891057272783977721710617",
                "72435746440197131514415198415149594700",
                "17375782891406022312026376472399289145",
                "297288065053351058569080168398213713040",
                "150798824937894613879094036802776610413",
                "193600418853378007731968957676932677406",
                "16130597878494205413707615677690734168",
                "78637798635688710367367385723454451188",
                "50568648297425049167895182357468330210",
                "155813019451399995552433452794639312803",
                "294196952784475649150292796310845400624",
                "145251504446179776132958993091303908031",
                "57522707056855958696626067430467535999",
                "204092941766845815980399054193150797066",
                "131260846339294804244880981616551209475",
                "232171341866056218515533545868123961122",
                "290815469730020349665088856512155514282",
                "313112442285755060999500387605317540664",
                "15813527792136065277755310575782333526",
                "31995411142547675763995462088389203878",
                "221226011147432071996780373962372171593",
                "241716898156376368324728546388838019293",
                "119952541654169636950453571936184465428",
                "324189240037687518686077153786577003757",
                "6409544937276349831613532791254873869",
                "92838465127430391526986017867022309831",
                "147320593206792476575931380698518138424",
                "337158193761270111571647303405972424549",
                "142813466809704183584032456924579158052",
                "252275662493196397350712146220094978991",
                "10625239000194147480747789332313026751",
                "161636309152676468960518157982882267805",
                "309673364754931531844823309346782553524",
                "148554526509705987528426918454836871856",
                "133580372980790210830605362242571435870",
                "310510859762992792859661481803957608478",
                "147157119557679386298408894072114301554",
                "151519643514341109935830737952820718154",
                "137512673155149966712020308384276125620",
                "149796226700572897217604064799355492555",
                "219175155014954903796117397977182991144",
                "244663838909475043780766436862110418903",
                "13219523580678655629048077376371533256",
                "229264329368444570968630193716940196768",
                "153459442919198249977015685925779435596",
                "600283389723645640011111882562575275",
                "313345736838250534479353188429503301684",
                "2342142426344559334872787811164697289",
                "221885464158631616634067566466301894215",
                "227488431585190403128682535989230410614",
                "177703234838450771117008208689328405551",
                "94869478542761591740673226229061676001",
                "339829415382162940435090528110964658152",
                "267758695534101102177864954421423852782",
                "91980399849349897199044469030761813974",
                "268838717515691684200435985683084803115",
                "87706058076684987539769637866994955969",
                "252056428624447629735386572103964869385",
                "73858225306816063955536021517767761762",
                "194742429293136401995595752347479569356",
                "78979745128679733501534775960671449536",
                "206572015701026250603894692415636217447",
                "238122715424443502896464627075466204758",
                "180978997436654127613289135132503166247",
                "145612984633591667611347951892145676356",
                "58816159786457712545994298808206910649",
                "301960784087432962373704434820223631558",
                "67980638785294018973642426058482744519",
                "74383629715431500119675354129790090556",
                "64969295146247897587563252912772087628",
                "317710607667738328835304049728096390272",
                "331365352896659410320523370818096938604",
                "50154827852271708548023672918081881897",
                "128617137586059771515628350452671713477",
                "173817656692011267910108829190174555379",
                "296612375581081265255775331115214446098",
                "105476931393827154103151385302903448951",
                "98081964777259700404159509679913073684",
                "53792622662231593028641962948044675799",
                "29565615317708834304773288057356640162",
                "144299729813081335893078511638430069750",
                "124306902203893750254550782928207451932",
                "154844716844407794104593774978849491178",
                "160812181961375139564926793826390409483",
                "292177711001249902846633847706836037837",
                "33300856043691673703876874742678863023",
                "128288128722221562503036932369698583451",
                "131065004474950890598865907784994078271",
                "157323074170731841462617921538315559961",
                "221328387966281629158015852691542711316",
                "162174623930860663327655125856113021801",
                "55111303823968504990345926193525225387",
                "312539693619580383145114445720790560802",
                "148950144051830915443715865269744660662",
                "80029461315695770001054457941809280925",
                "268543068036915892293789191459653902501",
                "102803072443910991957583388449393720419",
                "219473400225267510989277514073577496760",
                "27783782282219209900568987331762746819",
                "283278774175713805304597626959944229367",
                "177846493852991782236691115567348500651",
                "239929356840754575776866073836750925113",
                "338471513326018587450571966211885147844",
                "195648825730659148045146066626085989866",
                "21998626460078032727711789907855783735",
                "9485902722270632103567729731540537571",
                "84520538278107906593841011888518937234",
                "91884356023634160083778541801828565702",
                "84121112797140345054269388356264040666",
                "144991952054583915164848216284687869133",
                "86322227349163366535314503443503671803",
                "237961160194505201520025948814714155570",
                "158125790711589636766043797732351438099",
                "31267972684040867892052486059098225707",
                "2418850981802235930817943492621956154",
                "215525695172569316572471515668004461507",
                "123503017088853815071578005827480944945",
                "71484504516317967169262129552171607634",
                "276417189301977638983676431833698206554",
                "210709711665244074426127255107603976290",
                "270714003412353817348284281011080869198",
                "133615325121422168703353162580690409912",
                "74468368143502325697623906132885224303",
                "63270614262078841653845229608375830113",
                "279590275362846728572910619316987129735",
                "165667987222228467357233979119439741274",
                "123099106526137115962668940183297084568",
                "184785214351764476955562665587715275041",
                "173888950140017352183536853198834023432",
                "36279799720121682608352130830549838406",
                "32713120733423622904861118439692649007",
                "220069240277486536942798358481118370323",
                "269275307652999216571128598934717693516",
                "164387370788441264415852359952130969136",
                "161054890856352967628354618936496874568",
                "208781650928366982398906278591781889431",
                "61034294632283690451562548280499572600",
                "40554542836134079183129345764400300742",
                "240021517985505744435777601986810832647",
                "37571562659311148939451637743611565937",
                "43730152687553015625341829130195814551",
                "329072052684544366636212027844318339171",
                "176109811746591527479677457029236524756",
                "93950217230345215823068518247373884387",
                "183421621452679504036501356501231418429",
                "331891178359526588727237676008861340384",
                "273662036229965066922340296499892993757",
                "126571955394589344503044748435036521096",
                "225385418968498707232927495125724884617",
                "223308527268087829206502886663156550842",
                "81681155981531817420239403630618670422",
                "114357888024868720058127077588244423481",
                "336938265900259528292586608630958446034",
                "282924050420497297853712305223881161228",
                "92470897395862416951626265779262830383",
                "296399717651222280346064711990149056030",
                "280470973826186275028172871109807594254",
                "133098913099154005176647849950895084534",
                "110630390986824851785696572396543079591",
                "89942266210192175510118884921252984128",
                "288461814861469726910076442271817980595",
                "326414730554504317949049172604482870244",
                "146276807931864199041312533220244141298",
                "36949848213648768031707753829141000631",
                "337831663075829024422364150043105811895",
                "34983246965158105087437319864550620949",
                "32060721839841493852509247927063412619",
                "108504804546380278188348492333903309053",
                "277193614296018864734162148525955180215",
                "262757824116961379423831797008883744683",
                "94842893644282443852846667102974432584",
                "331271760153880504403081826000071971157",
                "144422727972671295273622210236760419370",
                "254355977560227923097760710729297774677",
                "57409030429585366778593127656367827659",
                "248175289612131996299277065178014341946",
                "298473151343027112450744635228078972131",
                "113530316333617642098122721522554597557",
                "228356267829370891983426018109886774490",
                "323723086463749395916001919745930535059",
                "164999105594781164563065336567420248868",
                "9212698473200109325568984831182614822",
                "241783379711681198820834610120105042103",
                "304370941273352898952926109706203642705",
                "102576668980849984819467985985066777178",
                "156407460612987113572767163204589588442",
                "76365281482259799488398227167509597659",
                "311189034162100873460300338765138428171",
                "292504382165712792175314293313798485036",
                "308769311880659989978404976037161375527",
                "172025961148261146861236218186553533552",
                "288584251090482119935068982480595938063",
                "75034873204182481792922944807617576016",
                "92094582189456551324876065430741809699",
                "323070233813501913365737501624542309949",
                "280669609232400446946681943910174138471",
                "274761240004662304519411618739738656799",
                "197814729490312873827951945911756295868",
                "245261747716128447327472281674954569989",
                "222828078392140076784586493210521532042",
                "223369396031824151203884775586691964994",
                "216443492516350206396030983813507217038",
                "124524815068996162198191639529709599845",
                "140098105854934325729631227476888748324",
                "268499382571798184361269843292866395839",
                "41814894460848739545844674113675194579",
                "290234880675216643498510627363731120900",
                "223828913890871575766455591039464900928",
                "182934264383047962981162762590369972266",
                "297859346833400920766385048395777135536",
                "25396758219669917986371410807626208008",
                "203733875060959164609600775827663773170",
                "234853592926006544122585229389870323534",
                "308830932315222377849748928609463403251",
                "315300260843574641056210995643616365311",
                "250448821601490681219770140836270155210",
                "204009119457172741531354516447084303024",
                "262783450743919530772433068560299574869",
                "60775527198774095260062725549817006179",
                "132515930346660544744986894457333463962",
                "297585186574896319098302504002948879852",
                "104847745443446955088165418510917469024",
                "146812530966270204108948978214736654076",
                "77563984996743041818253525642485044797",
                "265620071391209707538754350298569738352",
                "88475401799191265427428843910326759619",
                "85099869100571533352900953417255489489",
                "151489739952281531162915835731307671038",
                "14316000364623449079232860140758545527",
                "225748702366262202213472696420903367453",
                "280773211570905795476039923622326357458",
                "112626394246062529590600274556561537790",
                "318334852272138757501254856691721944146",
                "250014500756448408252337363336648946080",
                "94024398537388083833180611504804236515",
                "275384134797935746024397186597942596761",
                "73346268176006016984697084152524550118",
                "315131214741151248768136396665385963548",
                "121526821799430064684514635311794977556",
                "28076686787784070550028054282671849111",
                "330479339285289119853479460866998009031",
                "205292491319342400563099194058102005898",
                "258524600272607712427411517110202535886",
                "80215014068728863458050317401637660957",
                "128168385288144070884213867772013918255",
                "173981283195433809518377323193348435463",
                "313579399066009006509396954381738604184",
                "63844030377936364903189372954168670287",
                "63272706892271236145560101793507490369",
                "150951998160589045324206970875848603193",
                "129517429296888081765379782204453279651",
                "146983798522119705692658942667332529107",
                "214582587724449555714870222800979411753",
                "70533362374567724311374221934304430445",
                "268679557186483954838574071201070952199",
                "262663065664506254351804253755887544528",
                "59662066848120458342187153299798969213",
                "203407676536748719461879977846326702665",
                "151045952465209567685023152790891721781",
                "117789465355486739454378375380937374890",
                "178200001755827053975743828293140420527",
                "102631438057187325512515392190089770605",
                "226136651917509595121253098842030220207",
                "36418696185148149945845888136054566878",
                "311905022041344629494310785883957860046",
                "42945350775125497104670222682083569508",
                "215795888859454929454765281789187831100",
                "200755513426601035937634947486037789643",
                "93014091820481902374104913785400898104",
                "105672398294267201830310393670237709954",
                "17553782102757149445332372590866358744",
                "322740206682199849501754258258175156752",
                "272550261443881914494504392293923008614",
                "61475167757683426117029659068317066347",
                "203074370141412059418543869535853243909",
                "315210917552733547421645790116811520815",
                "143367351490134561001906029493504925327",
                "199621580140270321710996139115659803397",
                "114597731100742571222476436608333508208",
                "142182299578766340588724000334442451424",
                "69090799359579713789293923777354380849",
                "266986337627331607797488483010933950673",
                "274277969294342531596866274958737916094",
                "269075982798542972528950943608335089424",
                "301029020213178721712694079689922027643",
                "39132020652112977677324759579189085827",
                "226416585578188309595776365708451832722",
                "175075658158848079286681491272301903370",
                "95002258590865037357442908569652203551",
                "197347849027525755355204589664163315080",
                "334645730362490554114630466859866143950",
                "12441830310117657911776453746019516412",
                "67436471572166196056205617689852484507",
                "30153262053105515678032528985192982705",
                "198418282547095060404245895602976084219",
                "263620174255062998841693511493888242702",
                "307855685169923013681565829057063914980",
                "115303259790723926183168227298276132156",
                "275269663016071935005393476522037123512",
                "46744987971180856055464658833104617174",
                "108041500414415857250619835717590428526",
                "252474709945797919841078021288049064729",
                "238499241395780527796437563867288987037",
                "322788216419906085408114112587549916670",
                "165620387768124396879077553366896861345",
                "251738377585913459865950592754534155909",
                "18759335578317258393625634886235164833",
                "275072335647284532486161365907315640715",
                "287763861304728547714433029919642054939",
                "155814983378938742300083528565856628696",
                "94707558131746877975957300891370422350",
                "43273814581395278831048392646299739715",
                "300541651841334032368258211336760135147",
                "157188914407320103277009744336669965203",
                "43909647997088299364715493877372719456",
                "35679685357944107545928963727323525450",
                "86505353523798163150292308790670479408",
                "244003935053803432603810295816774561141",
                "279858608631548484423391587692942734452",
                "90129707902553877244659391511957593459",
                "15620602389590319336899276748845528372",
                "178408243026023968193190438599193821525",
                "62863762859447182797659212690744407447",
                "77109082047414848796082155027332811776",
                "199287409949136544614833050012137221328",
                "115711976249852580415360256647399977101",
                "202341764783259849649694015288974857670",
                "106957266271894861758884036006666848327",
                "98452493946377270597938900257831752311",
                "223221147108805672913646545239019420086",
                "26548127671290171765007110638712191467",
                "103124651656281679002504391465485321013",
                "20697535918987500644929043896410392608",
                "335137329651455540589021043369424649454",
                "244125737922122490355841163184448575599",
                "167089151975497540770376507289337817690",
                "204425833264362101985133436814861328987",
                "250622842643872953104313016975416195947",
                "164794279744314315795573975098099538716",
                "289622796302187280127315877956273514664",
                "259761132364658638224224677938438238958",
                "311287745322555728852693574604923380418",
                "206249835169657467116378261872971535583",
                "17003538529204495112948592065491940589",
                "34825249846638965940652673781905211690",
                "74885380476958280791385497876412883547",
                "178599438528135035734656456914246041448",
                "304236415400641955675104376350691754110",
                "27100906147779700631927825536895947282",
                "327600696217323704170450216018165378858",
                "190898484458856709368020482682860311358",
                "241030283540508754731466687599082770558",
                "227539093612234496002469090657796097967",
                "120441918157850600438493822816514461268",
                "282864845445577527706601403371635751899",
                "67868881194068557875772340249714195926",
                "324009485641146439985853260081908225141",
                "174935646488790032345265651055832764842",
                "164087096439595331321384129949589587049",
                "313264413818561119938240874921236661497",
                "216662480655556336935952850185483741041",
                "213485661576852059867954558875276352247",
                "216183870723631840533194964918268105957",
                "246779244732948922426332754119730127974",
                "57517338791555349196368814255674024626",
                "13667496710143719608033655296599854470",
                "276681009391347610512448481467309667929",
                "76575958074351277898864858632203632391",
                "337580099762096495612970122704550299402",
                "45153964549661930383622978064287772957",
                "113795032898030690293155301474258297689",
                "152750489498218589255122458704127164267",
                "97729775439851744797959556281295312390",
                "308771765937721342393983564041246990119",
                "205196671424578764081420605029202236591",
                "105706553600064033359213668367758762237",
                "181570473219269285164020716068713576126",
                "262806990006416523500572520127489846864",
                "320820109088239560104400317274805589962",
                "271915732297832250294931643969201787144",
                "242881956574982875447485818051818438630",
                "283789447761754433523266503729200775652",
                "22860605764059503572273070971000496616",
                "64921380252155323216544285782648483026",
                "60638892331734164383170503977011094798",
                "303186344428523176992545516749500786489",
                "135057906467176964574906959060759574979",
                "235900141997966430041712736460460795716",
                "81000499117064698876975782309636185441",
                "322498350057419885898095451041293456383",
                "150546028660542393235254285853384968710",
                "17667973896360346777437946899469106370",
                "81322424123586475080397784804587547284",
                "142382512630054187921489996320846892181",
                "316884470061005209399018880795888208714",
                "172611575300044804054403387654180984167",
                "235416937319603830537399188571645222441",
                "136564648060622361621002985841300882028",
                "313942473218328921020153704501446458944",
                "36627917189524947405437430316818848859",
                "231584851197030081873654100621803857089",
                "144280975638634021406565050611538839760",
                "229353517678756373540608311856565496515",
                "274041518638666506972009768901607683814",
                "79889827848754975248769115220990265613",
                "110764647910593886608281059155113424460",
                "311805302562635617976799546394294080147",
                "57039604118427487753764319631014323675",
                "79981815668676943131248548043193731884",
                "206700845486425495681723608875772592454",
                "176421767496592487430826069259034649257",
                "284282261611074668381135730022459047671",
                "82980896668117958297459012464392184994",
                "102306518869454428021024881593338725234",
                "99701068595994809875042985692954009275",
                "165521531247685714644343788942736983965",
                "12336123996521766211457019309370102446",
                "43395780446268075266802863332249440649",
                "187259908027763465552701547856671140614",
                "9923031832715902694892827021036501811",
                "131050408170862646793105459967113829828",
                "5977345337773048030666732210723177297",
                "94989644879607735083092529113103200976",
                "226190137769650586355041062378704353130",
                "19459808561876910311979753066848189959",
                "159020423017838385665599572970457808199",
                "155148102036681315203964238465659605754",
                "229659239635653433371953825170751025933",
                "223619033068829436965283282275825518755",
                "245910435211029075920139791577293240916",
                "308859865585049155835512002582920001306",
                "247903663535939987370239162190642586763",
                "50484584440969958133222227129127915676",
                "304888641178211124766070990908786917166",
                "169981739315224869766016290900419697079",
                "254375150034428484925314546696193695100",
                "193483373852372316809338462945146533466",
                "117266847351419287095678852854261585333",
                "61873060934571778893676206295477075227",
                "135134887561755938213240679473309814660",
                "266427897297203627470168356973715920975",
                "272962359029391021662086103472456455278",
                "43589791468090666933775135756110182237",
                "319848665400998375521769489287411922576",
                "183935530622891217084273718834974806290",
                "241932352257354638640222953000248555520",
                "312955002912580519726207406897586475916",
                "207012027032098456892105469787581340765",
                "285336527813033250740122238519026940741",
                "305342709939481056805413907314377210270",
                "82054122639164683183788420476567743284",
                "188570465011086639595731832486788577106",
                "52755844199741953082818768927628729162",
                "214467829005399703934530315989762047731",
                "29483298663926449110910793838795869083",
                "141752400052957547098146172709408684374",
                "211116629648132768171541048349872125447",
                "115419078359462079194122215573439941213",
                "148469339765854464822819958677798013724",
                "165823488311915657193890333050586024028",
                "148921544419579189866126021311205790205",
                "252870875676449346775933190845556382924",
                "333369637243796609684441826202689705560",
                "120673135360793507582513929083028031182",
                "149936968329582398773295958949250916994",
                "156749794889335193225268559377510352306",
                "304792905166112480896952197972662951690",
                "214029347880220897503987060704514755325",
                "209716060334198405280800732350780399687",
                "307720423613939238008868046812898894501",
                "21221656748351210306384055813973180704",
                "115459250025969611441248882034659125061",
                "229405179497884497176989228060580744048",
                "268847025763543625827015616259685741400",
                "237102206896050596254896392110986976922",
                "193507875238714226309614814640895500657",
                "48655888095306379840196593805793610162",
                "108812071129017858845444086665118874911",
                "125302768865959865684043442213355440933",
                "196399670442654907672325301510461269296",
                "338203256863202816038000612702508867333",
                "62274731086576328386500367237507387820",
                "279819684344078619920282767922137549034",
                "123773253015045353011809386911779349005",
                "96209034164844071532716343761234126987",
                "29522070961483073428735308770795075151",
                "54576131177034087763347911594109433082",
                "2764492992309648443290840718562609337",
                "175249506583482436975648699657144655969",
                "165836560443206283620986451493410097313",
                "62752890714241309023671869677071629939",
                "171444854463280583200849935876248526492",
                "206755895545672110270668397983641821046",
                "40244759598919319848387580786502290593",
                "9364839234864556314229002500547553707",
                "286987384267073250969645817787833603419",
                "77192540054589617852161022397289305286",
                "132766233395261207882522440532939318115",
                "67703831954996470445290151496187826416",
                "246985757372081135955032110203588652780",
                "165911852009691212646848909921824438885",
                "70263398116281584149680478112534383174",
                "123305539774862870408015530041619132466",
                "139359806678113698070953017608713008302",
                "155052769337246804192724846431573631627",
                "71693495610914708189420401175035817914",
                "71371225582735442045298577107276200032",
                "264742875033762774540417805456029634456",
                "305644307563983417867157471069058766571",
                "275230576480102983331062910697248961945",
                "73768666469074235638389905599279420508",
                "149788694729848133127744746895560143912",
                "36454852725369422492853032995768202020",
                "331984132670343003966041230555343543406",
                "135976876185630409532098299864097258150",
                "130213982774232944140643869588906463480",
                "300940614423560670620954380513522603778",
                "290566270858035720317118997679435825317",
                "64956521943510397009571371225494224204",
                "87798741788488926332015371682229549764",
                "223732069321399640886880713423246487208",
                "153120134197359642693435118373850642617",
                "138775004687873550046909291478405403366",
                "301702037473883050175803421424192190414",
                "131118044952059349919764322008617502558",
                "53796580451093872971640217134240844080",
                "55665557382620611019085239230108478832",
                "330444548236131441615482490398271370441",
                "305987441958308955134255224771852720779",
                "136386958318500365183344761198500511762",
                "261614406998282197033413276782082373952",
                "200218294855747950623654573007001132791",
                "63946070348707456815639925980712211774",
                "288141691215274741180007712707460882157",
                "102914892300804000063166470574370648401",
                "156849952097836191893136303153302793301",
                "214344482427279951519570858373755746745",
                "309266648620852463666367087931875958379",
                "165090645076555167489103577041345006267",
                "229232843898417676675040306917993904146",
                "293456974779648772142171796497661091394",
                "101356389212860132622044825661740235081",
                "310808153962139823332130383459718762344",
                "120498984777035718970114999766582007564",
                "153545779060584635218815732101394676465",
                "97625917547753857368570257228864632465",
                "148599443120973257631244944386904148793",
                "83198697406249569672626815618485053325",
                "258667082445034335599424860792474550446",
                "323119724386988572253776056638885961683",
                "195790493431720788051531357611441676050",
                "221717282377618124123472892556891852051",
                "301047740798492783774766442160973420001",
                "21536594591348396334806335626451151157",
                "250964084912152747950395015046830796619",
                "108814998368866601343569459082008013028",
                "325873992166878466748926212470811914405",
                "311242541473863092556172976567037700928",
                "50892252776703229096208621669033245086",
                "204932170427786951831655930057511528149",
                "286139706946548067477942928197811130198",
                "191223324696307428060816973973925130385",
                "305540084658641707829661431156771381447",
                "120107680733012203114036993933842503059",
                "226354125410393421107002746117271033097",
                "142301057165120021769273360186067178482",
                "109827846104294872566251040713194943276",
                "339929450338043307682786917945124265705",
                "258281792030388450479253757765298624258",
                "92980264451604818328678863054819608140",
                "177544371799312154736599960008405931701",
                "106133464769750949214396384360509350474",
                "30855852057004502849029284395943894481",
                "129746782705097357769621057422194417268",
                "52731803485953236720443036867785422231",
                "252364563656587472728954535860169208786",
                "101540300468378112606462667831206530796",
                "92203998015961617928390854119259228540",
                "270758689015597207369603912478646853450",
                "243375499107067351023517387982360208032",
                "243344339864886183973704482623149058678",
                "50677418287886029361689767691460233074",
                "194435609534433085761131690359942671730",
                "52360361747194720390111648657188113271",
                "177010640595534107567335066949909445849",
                "33752211316337930792191973968919356803",
                "96496499600425636328960115250357138426",
                "108604758881169243450108460705796593205",
                "287591114665069069768295877206246468776",
                "109446143222130356995968534421425068359",
                "156221520592594691614065400593550516933",
                "298879068139141073641588607546684971862",
                "298319904800462852915893185822624813066",
                "184273589300387464682392939365408171645",
                "253215534638676278944152341290908197455",
                "257310049057391664425789967054700824917",
                "117338716776468235068252527261555061959",
                "310434545957912425741662738422017383905",
                "275788780389323986179585294998261327739",
                "225187323335320239518277136573483557537",
                "118366411321481545651645424768994715421",
                "304264202824697158558433035371822611906",
                "57801536442718979091801695870610804759",
                "54573162136847545203755530036817190469",
                "186029577239322322415264386131622732434",
                "177289724507380405240822546498786083635",
                "88004485532899409329191010115876083437",
                "78344589578007813106443858404033649479",
                "259871328793389588413811555907423791707",
                "84558159392045326758543547372907517731",
                "43160751707371534910352622704598398774",
                "47274805557147878798825506132978698125",
                "86281620581426182579150063018898885475",
                "66424487777553850861569434378049602481",
                "209340149688576706205830459484308468991",
                "214523978797749525360459903501061196366",
                "107668210915651505145734488070513808929",
                "139180492293915090677616062070247276304",
                "83296885497400936913803605105543166330",
                "327608915961397008143391235987168564167",
                "200369631934249698948428311135453604108",
                "256508040952870996601757564234325247863",
                "134677004783395720022896051906604739904",
                "248064626879362827544292349544220849651",
                "287905697606385447132083427666050590639",
                "125212895474062432892679213756105530441",
                "328032644206312079299921849187496154177",
                "179672578885225914853820315470837390567",
                "186601106619550989805663853098840335382",
                "66852782576224711891278323041998793853",
                "131534360896722255524536207996671026305",
                "270573597018158527257967995665726681910",
                "80477260297114316676698157372895990212",
                "340266813032491348599321504768399737938",
                "299319845548990326606909591319679709745",
                "103173432795680438986359238144072322443",
                "146564729682699108390598436962837177299",
                "113559617690040116242013916891557727214",
                "305462269642219800751721682374957363955",
                "24723203776876586655696526056954518106",
                "7327248948511456811799147692694279687",
                "277060674908132112863509060527260445117",
                "316175863318605589499420929510065858504",
                "192448370998303536529280402326454390363",
                "119506913140746589817956891255985803207",
                "166134855930692376032835696154085526398",
                "261010971562784398381563296119807304092",
                "323795927922488761163038208301327121576",
                "214931408968885083168735160435372472322",
                "321791440625923431107435916295732302099",
                "29380600179753459773984549761299799988",
                "198079011138720081515392926982349247758",
                "268802176042255653735918271801356618233",
                "334831131701815863623610405465944590071",
                "142374722308037755174710098136630908654",
                "89320274847957631148448961836892721430",
                "23742219787641153919162002532352077538",
                "199926980746658147316728144192549169016",
                "15757961032999036901583829634129499364",
                "188832157574886857588950122656270685530",
                "95689219290101522674785344038413537215",
                "208375325250776607413109451547198555908",
                "94257971132924803254936950610109121089",
                "252314964051397986995765682274438120481",
                "260310150418494718921659516111440326729",
                "209432750489538086184034369128964358964",
                "109397293282474790542389005651890937566",
                "95190110886011182784831121759346701546",
                "67908869145143242147193205367260543779",
                "333263978210503761402921675272016953473",
                "225351211054851870741118992815518231005",
                "170539409791859362172308175373605886023",
                "289244211829691584325713946274352963517",
                "328411340429009732908467583859797565827",
                "248986189376195329400046943808932886799",
                "97329581639805785180750180489667669823",
                "241720456366923471412921820153005193273",
                "268903268756706577995894142622769339746",
                "233538495202635155664156245165970454481",
                "205893350991346263875447238229770439119",
                "165376860901797222351768488863200987380",
                "124655490727571216265525496852159802927",
                "272492762268983840573878319169288849845",
                "233210692890394022840072422249772153820",
                "102098208101128058768775261509771093963",
                "150188213547233170100313510609425063677",
                "256067910597295285870345723774818567650",
                "46701456400588809118348053411091484850",
                "251791493659381834968632157934321776035",
                "21658429298407029400664841670004629207",
                "88443459114234555405910643633569706597",
                "183238625608458349224688381415735883259",
                "317877902356112741768916781900542815832",
                "335979240855687074982402344673740093744",
                "282037085101541021433994822002554351701",
                "199096716970569828704435632532698130978",
                "169949664707983250196545663513090258919",
                "89852910009428652933945757412728920878",
                "302420487485641729742667673759862997637",
                "248563247199863342983904837171616555244",
                "67374477586871986113994393877296166081",
                "42187099256065403862981247444435032336",
                "152086458147989562067140889033989527017",
                "7216221376346833100778225712621158942",
                "49463624715828777703665911837679484971",
                "241982583363660821258053173015669768672",
                "52485521879292501086341502561925304313",
                "103157907793297832151661763850990623504",
                "276601792709146068663825010422211494304",
                "166546051923208060746189812506570917695",
                "224126169601807258591600283724213885084",
                "207144706795281675562313934198032713878",
                "257649393162661962581713494704476560448",
                "94320694431500329628091094109586710054",
                "59485699981070914308993298729154362359",
                "133288991757410253235425914288330936206",
                "221729391057495919792554184240680334869",
                "307715365483719235777664474710339024921",
                "333748730345383761655693175593693708586",
                "44732184374334825403940523376976359201",
                "316943327401925098903966661365064496792",
                "46630438254613284609980014140349765193",
                "113387737440448976060407195834127049317",
                "204490544861654341060577317688545870885",
                "308727598148940564274981490526258631810",
                "20236184392444241883419097664509709795",
                "173422771344364359484810096820838764659",
                "53801381686565269279091340849309461291",
                "195400036267394227300467101805646479033",
                "195585137193423174771715231546557952207",
                "49082590632746868814936725834142098",
                "162470398017231298923464300869020185340",
                "65455702111983961359021815477348794473",
                "86413580484160938997643579342784850741",
                "39180712625743307404739462228920989782",
                "26533111543825887575858887429493525953",
                "99304544570717655522196179439231703450",
                "322692409914519951632692330405341592442",
                "294675493231762445775227326091916860880",
                "226237229653027084744022355347110285109",
                "11440495444766552102470255470071484992",
                "48209447774291298414393945269220645910",
                "318517610312692013474898761221184302795",
                "182182110582523477458491468272471044480",
                "285999735572640955523208510141565160973",
                "13083271142402597409146238870877214389",
                "45189417257863047976855899678089239128",
                "2795040591147389470705627668568554645",
                "127770954946401095272364022592428514724",
                "147910495934509573878674822078003350017",
                "68722043544139924879589540638815696528",
                "61112952811944723225880209740761081813",
                "104964176474855211914827137652945348909",
                "282592618281843340264165495349851780952",
                "181294226991711063305243423179446251450",
                "162174725015085306344470208692496735094",
                "325293277063340725689233318602836151520",
                "32561662536669463694833200684015043476",
                "14121518782196712538806989004695373350",
                "171310668843046248956577166281812783155",
                "180035521278733707748694030485041813301",
                "192953003730948865809006013698934072884",
                "135899666015148620799722200849912290119",
                "270754801495150182776940972892564810218",
                "220557671953443466340010718598209322957",
                "280963480355788414597094785934129723874",
                "118261323619098378080704593295640693449",
                "255350675066247433832904450216780802254",
                "333928394284988896911533726223545837750",
                "73619929890463351194189420060701608612",
                "2186088735249953141924147408149596324",
                "196498609339427865783058126306121504049",
                "311416932781245780486513727269168192197",
                "200259660644119317780647856637569471818",
                "165279271892399187639382099021802492448",
                "127498181073600770554176199798217565574",
                "82864850699530159287362876552395409648",
                "211156233717101132497301472677341596151",
                "76223691639135835955006723400457503925",
                "288275138015225654687173830303416416015",
                "47575239693989039929052857771834492910",
                "45518293444323315569933069138513588184",
                "33277312142598650759390345232735862218",
                "62935293485199240342767962780048000492",
                "213551294735907242943077784519805353528",
                "184022405645049752225106546419434172562",
                "295072072558682133280822030705040837838",
                "53740456687120915062288769156027703369",
                "211828071266008919651048389485903205354",
                "32776536921045620698678118162423517906",
                "111939634108134470666172425120059003894",
                "200801982617595494026068873192496960056",
                "83179601581488017029058413116432938811",
                "105545478772253944982617301389354767745",
                "109695076168362910570836032993490577566",
                "34397620864161248224711020426967331496",
                "270460885140805062441974197730369322155",
                "3015170044510756665507052213985520543",
                "27551495525203671026453825838801088999",
                "9518895332608343189723690703275059528",
                "149765097600253617923678342168114201531",
                "55643492802127602263475930720214867166",
                "241213140482748876419696842197954582496",
                "184625599134192240297530885782671798423",
                "103980068943583286117110440457133352965",
                "130277159615334988248525884831529216344",
                "97992729087640356280519797092415327916",
                "301368100395343353462693704197273393116",
                "123066250526222416388416212745367839024",
                "267715848036686840138845555775007895394",
                "210525932358954226287494366501444798623",
                "222499514766945655360212927464657121852",
                "13108202300203172980578754654011540012",
                "272177429613204470717489191942989350724",
                "77878440864329173440937694482984382210",
                "68856043817293169808923781547201450569",
                "110608120199609954624796876477264762058",
                "229147771530648549308112179598355696995",
                "197203142893152557154614515670973393587",
                "246717282748885713540053111409054006726",
                "20969043573630201675844141779165158685",
                "240737352888400159851519577641363734530",
                "136382155931785795744716773511221733312",
                "36734488866986545980656059160411080298",
                "36328758549472797502339239249840145873",
                "229790622600287321568296248739016222191",
                "10197900282435081596754440493956817753",
                "68843131181827459772582578319378993617",
                "220067472221380487634758506011682683981",
                "233260711214123070833875473024057830571",
                "83866675669966398041217936038488549558",
                "97606191746402813533718538768854501284",
                "193355145378047797844104242114930848923",
                "48136230356020850291399220799413409872",
                "153416829750906848757908173374587462404",
                "42515282168158603117115524247856622756",
                "263390944453740695382527345412331281695",
                "110632216439182508364985347911935657767",
                "218006335935220024626808477226577524560",
                "233578244178101275712450807498299295637",
                "204148436824154603245787277627737773492",
                "234488644748856486333737981586073050268",
                "18434199217953385205481027609025923733",
                "65358318614833473208125727768041848066",
                "270100732001777548201242877897722565776",
                "218480969001648909795705483117687559493",
                "157258158804569332374594818901754462408",
                "312968353594726950121580515185898818136",
                "53277491379739435455253201603757246981",
                "280918250296964378298659785684974393292",
                "68974084829719899107325689353431337119",
                "204041729409566071874039531027281498843",
                "27044418060553639611094123370749178660",
                "49248723371452102876554043078215712337",
                "279639173939222877843186844249910984165",
                "136865111587372761040023515751208678001",
                "335048516350803814575473149228586598082",
                "139843158737263103036093152689607351268",
                "328204067291934091455911302386423490787",
                "182142775934064724452561529666080229069",
                "89267323581852340772718017050930487953",
                "241996390324832160921533131013727377618",
                "64699501541899723992080184605367154489",
                "336118664844284456184907329895140297467",
                "134269829306195978465882418594040699797",
                "153831493022588359160523348390928588971",
                "66438817105599874058284774802386813576",
                "7727965081707225468399646914380973508",
                "259862147468899287663394398923386192467",
                "328719683715865652524592763038758327375",
                "89253367943312731634256853995146445164",
                "193280146201899104393475318874313688552",
                "59909283672475716114618789473259743894",
                "139339479660694172917879851587270735295",
                "40224706277481528135962626543838538484",
                "281963780675044225499354322402305593321",
                "201336175890847904016833319681242707961",
                "40167909986803748558503497131809429523",
                "19354397913560235033535438211737248924",
                "193689974014979966944241782797706117172",
                "82969296806232420763117537899710090181",
                "48107342039134256050873170367103449749",
                "121664405117869092955907162949485639696",
                "208172472595507911553938351104802929103",
                "100178208765342859269087069572518170828",
                "172678706249565529867938811847357927246",
                "307892420336894889288705013709104326138",
                "289451520682790295605487712048499810308",
                "230125801172040819032444688820699465945",
                "200522236555902804673711370343254528159",
                "278303634227457614022398657293640842526",
                "273066255832205774498484562746898651064",
                "200157168047780991742867866138502008525",
                "9921398426754235400486071386925494169",
                "110043977191400700404988777524028303830",
                "34429491153776046955288386376339047192",
                "52133965938606940774535345250495325257",
                "240578106438393672488048150240479280347",
                "85951681659378168134327803155838935140",
                "163502752691001949756747303068496194159",
                "278712048423956875063833749654811019500",
                "253685853441205813729551778693284929299",
                "185474464359528582237045443783376827417",
                "199415367073599954156387700825822545912",
                "151732856051008823662042004961981873394",
                "277341364230465996232127107967304137339",
                "181402432805518179773747040655222165095",
                "162147004195463004012073537846158593135",
                "179305718199041977940590460008117374865",
                "265297091332429399805448172674088023163",
                "131003527153548055253099831427708773881",
                "237491351998268126267516569381423928769",
                "282441958237615573999400890466316633092",
                "136339495214435110821361756804530798691",
                "19448595728562297016738495424653039420",
                "138307285100686420509592140040334208334",
                "107757215348874736080137265993312479276",
                "99703384866227620699836439714205261069",
                "187204123371062427798998802257087347647",
                "108087271980292962198728710213555266804",
                "144655344497932579378795180544622145443",
                "278231986556564308867633421451951020279",
                "123040411534077854415107100221331542302",
                "50618485557757798522802651584381393644",
                "274441620024153171013369646279732078372",
                "125313132597865476655192608921276354920",
                "103349914168153920723526973402810215983",
                "253151763869464074208297317202255286496",
                "136724617880511833183847402869287875580",
                "303168413268995260370135569771834310806",
                "310691382541542788862598150281634333897",
                "141933930261576443759128081889294346079",
                "44995847347844856978085521415156794568",
                "111568537070823048669861480899171919897",
                "324914835094716470559225180580970055020",
                "96397301475369159639618294929451550849",
                "111298350530035362964725608383526277355",
                "135662585292149257170481076458375327682",
                "116022926255059949662506536771310662493",
                "230945027524957299628845296171161645007",
                "101830626892622318249847264019675520423",
                "242731468347774653228747652627590095971",
                "227993329431935584392527857808206844277",
                "312970848567852646501753237749223795960",
                "101418103973045718624068632013782930200",
                "153112026060757616308645921679744907029",
                "289968466964054023274815615869333689861",
                "242612143098870972992740421808903915556",
                "329158586425523262873256082379475456041",
                "46814033012996233104305760280707524582",
                "190561014431306076759830698550759635572",
                "110467328111435763958234508365555009288",
                "148527887063257393833510346931645362913",
                "196107068516323599596591897581412612507",
                "304962195674155400216760696253184752060",
                "196548568760636944033840425074577377782",
                "158549650530027645504281900019512116771",
                "202804521984060301647481910834694712356",
                "45873263538234130925549080916577319683",
                "89572827072475607093160887263009937094",
                "58013761180264450600327319225400179248",
                "120800780850477618867689419651495890694",
                "65220540598647140591063829403833581082",
                "184869530622879638276154518371463315278",
                "254360505400643081860673464412084013193",
                "217480087841596103688003433396138128843",
                "320057514093984207405834464176241369684",
                "273625075439646543975750966236805875691",
                "201570977696266192383450132252196176010",
                "7370225415519723058516200075847526816",
                "147682003416371534792240190164147298781",
                "268934938386651108799896499538860502136",
                "121496118720287792248106194943736611628",
                "137856663555559104092744913366006837875",
                "274356694162738454863619240752714317735",
                "68189403040295322662324230153009927002",
                "272683396787589020611938932625718100497",
                "119919308701522565345286528643213206408",
                "211627257606534826565481425453361576290",
                "189449734963706024370450551432050664012",
                "258554159433781113589666342303665532420",
                "167822364897723787748721100873130795040",
                "314286671864225625322887449657022522144",
                "224045096521348643067964684499895018684",
                "129623396044746543946333915056558566845",
                "308880263091713058821988914666590612519",
                "311899118578289800039483059620642518026",
                "245865499130532322146605339366100070550",
                "105350666846357274469649140295094428099",
                "189213466113654342928428142978861357941",
                "2907966219105041130037154950053660623",
                "339635891062405517668630664640158419345",
                "86344163118215023587827472068523215240",
                "139767858074135212817086521143615491836",
                "103689602333877491646900855042072340256",
                "297277806793309736643867234048899248072",
                "243557868758851683535407671857537968512",
                "36957312826788160706325203883093411960",
                "270143846836570248139292778814456383020",
                "287757846469637616501377947143512092168",
                "182260433548732783447499842308355435331",
                "221164665239113949909135254830151008159",
                "115011909873695666944397221678603535460",
                "167395283446963181584774550960060547660",
                "239337718317568111899195310077538639900",
                "250177922553272147570765740017278269216",
                "79826026096741980889280358853657513380",
                "34088992094111635161736124257313548825",
                "90146160497338375039107990827241435308",
                "79150287019716150044850835302170828696",
                "79328548271215182221691563874341485919",
                "30135424521382925513606317104451016542",
                "69357930943994435064253767584863052449",
                "279430653575374092274053296483657369157",
                "225563081160678192223936444792169484696",
                "99913380155655592204300134402583346799",
                "38821653771944379558133788257719890399",
                "309454214018885815718279922735967930152",
                "197889579565358128506269409820506553565",
                "144004929408412372583520134780712992994",
                "208737845475036647650237851084267243585",
                "316484001296121368771701829273340700830",
                "140412908115486778456773864949318776192",
                "202328360085398445302300741844672447371",
                "327679800014922527062838289646224929897",
                "156095715508374434562516146174935302710",
                "46014254097846940490218377412630437276",
                "314787123291730607395785677388406120597",
                "266458481422661366883281351521281767260",
                "182212210177972379495362733716008530417",
                "19895930035507078234696813887581054840",
                "199181890974685394777643881371779964182",
                "5497100887109841959371358625206884344",
                "246750812948230917821993000861167003943",
                "249283242462155382999468079050599742534",
                "93256941123534900508789153570974893254",
                "190657076448181986195296111468074540640",
                "146883296964863683215129141200763427527",
                "4877389756371685684424224371747102396",
                "55287182505798407906985849574932396166",
                "319965341184562807960883229110153985602",
                "40499561296156772707365773035070846735",
                "232537998880622748833765287438364566379",
                "142275189849155648381439145131805196118",
                "242208604969483115115947594862213571103",
                "206165773446032630687904915978607455929",
                "93324135211363915109715898090736033596",
                "114682081218287348395647551875336743892",
                "19344736548542357119353980543808174634",
                "249313732364149053851094013631333679808",
                "111194475698428509780330550806420402758",
                "92349625627106044192088857700237914791",
                "234600605538519864842622736422804554641",
                "215230205961111094722140220185710764941",
                "315308490949712060915977578421651799898",
                "232352939743301792481676649139167864797",
                "319974097551694550129626100973611860541",
                "94039428273317244850902623795308698506",
                "193921847434558779974867896245949764403",
                "105846309869744275101177357681595047077",
                "107959977429908280327081051789469012915",
                "76850276749496365957786891598164594912",
                "271427297368297103282884431902949330429",
                "153337373561114784339894958035790043221",
                "152060712934173020918246894629317628670",
                "221732705938073012755699154372023268307",
                "331277711103365865671236712708699128532",
                "89515799527535585007543578896291976839",
                "66310539701982957591239575178381552159",
                "18019231791927668456352191845520582601",
                "302635839789054221969628490181247547715",
                "181731390121309636845302460460637662833",
                "221933549782401304196140866052489210309",
                "68371385033436049165218748101848057650",
                "183205166615126625277360470116333564725",
                "249570478590079698897369382547854639570",
                "121870336068949224679355661290098089792",
                "144897151876291203340628193572007089146",
                "254134910471259902224760437970311780284",
                "133979122148303746011675520562589105163",
                "271988727492632145738041613947739997052",
                "294222169790466441149196978663972895019",
                "221778664459340868989614447544711220390",
                "143733551494362418423385347845010000398",
                "216466895744203430942817164313939458243",
                "189057012730999130595446120609511423226",
                "196863268292629635480288052376293584595",
                "33151999685642655926311950306563843084",
                "146742958111903328931423578836620703261",
                "224781115041410707069795039608150130438",
                "238418207503534057856960387867917746072",
                "85083141720731907407347323341586575870",
                "173031857882274927801619195768880214837",
                "24164982748805747723581158589143738933",
                "132711304143293688165623001179554294745",
                "155401890200929526278798364209870539413",
                "53329464250618544040437285321395723371",
                "76169835474950875726019591514717108455",
                "41749769635264082816335520355081953863",
                "78968924982462804744943956959151146111",
                "165309555889410327249245599204972816970",
                "324926308217076210670633677573812889648",
                "146492404608775741218181109615298852146",
                "324976537200090712588938387474146753229",
                "120439132526132675495452372571756240910",
                "46755264040162781428644023746711004397",
                "14637357487973775464380752928531050720",
                "132850560338437970864245781064696854513",
                "148061596829697967744167176139746604529",
                "74446247900337797795973145039900464802",
                "60237869706506151365679169198356503789",
                "222055882468060441104199437682946135500",
                "64901616751533626067860247599036906675",
                "9833338786440962111449258540916261167",
                "253208774862932854137875688936452179562",
                "172487369828571013697760489873353647586",
                "304668887476375217408271350060199716989",
                "224881289905844272365271450252909708129",
                "305428685860908051593042393797444870811",
                "309585310674322317489077601336619290650",
                "312563083033719979524581554265843781587",
                "138460869579590438799417476626317545315",
                "243683821721986284099175678413673731530",
                "10572854971322748548705415484375199005",
                "271036708055450694608052177801497540205",
                "143556002894556787232727744657757066201",
                "206980711103903188606788312301798724957",
                "155978263161800081763154507761145343830",
                "263667076874036301604205946488653343736",
                "286867868418740099143508304663024302299",
                "172929509284923831146754393394909346213",
                "311681499656831038994235258955805809638",
                "242127617398242682156106125523772021749",
                "38747598116200870275388471790082816583",
                "112379509282581447317406666305773677963",
                "70455445292104519996664178945793408248",
                "72111030309697686456927217813954979060",
                "206486749396545995538027214046964895836",
                "184700125950973455279359743566051682301",
                "97402935100958706060633512795483107528",
                "302728237613776848640238771186485084661",
                "31694625806257260401047409484480418746",
                "189553537910658608691731075650146849602",
                "233392265589975796312238879508536239576",
                "473464738114953968739212951758349187",
                "112903668562299889465655376314913548906",
                "225746149821220224265256084530231025163",
                "9388606772419886019914372954610367490",
                "202153942227174267827239478226429142730",
                "87240981882548551569890877877964847268",
                "131702407025017741466813952499495865224",
                "328777335204112023601215708552285769239",
                "151153658980511211094944358600715090268",
                "205331190470359355142720923581018536927",
                "168177022085418252180177611291757118715",
                "119551420597967811363219777800125479148",
                "172507304480366675390515194441085826096",
                "115584030215134038675409373046338905123",
                "7982978174249644948621936632622637239",
                "269491286044030448878780057023888933778",
                "176317139185573062486163552858294875011",
                "235274328311811920700383610086989349844",
                "9049582615483694717796152385349388437",
                "74132862276918056239622716514646280981",
                "149199705067099933152548113365195041996",
                "164101830008642828740508630255474767451",
                "169704437714689573982953447906129239360",
                "261606492578901956452068851937601521067",
                "11041212651622007721554941902536615299",
                "65371520802302631327518386501106249558",
                "52350252300076163995252170541584738956",
                "107563106949677456394808052943216197997",
                "152385993266003672880766967484971352324",
                "279949507310881694046841009851326266483",
                "115899097324138798982500195082182053262",
                "112548274398831144943224644225103986236",
                "185631748687439615092226893614148844302",
                "178501709930327115336461311104281237171",
                "128181172320207307257773187936317739128",
                "99396800892085863203387288776295941888",
                "84270681212344600753604079102571395844",
                "114059233073317540592180924365680472173",
                "54728356338935407010041102126116636093",
                "70499777229822556579391843589549809705",
                "142703680395116871561902074623402764599",
                "338762419686107147955455321976243954028",
                "225596393924433580225459571399009581657",
                "67096892677221194207876345003332662083",
                "292725153285695530488513483607587216299",
                "321021518646502169083363307468069465923",
                "193526743223514254397833059022702419266",
                "262517700435495132430572654262933759180",
                "28419559357036989677559121060590519096",
                "179202606217487106276842011778162611022",
                "154812563681254144647280575828177935947",
                "100759102636550415143680659672257213942",
                "317059508495651441289109008620412813859",
                "33225331948443482152109593383596470720",
                "187434132013089289372573371860537231890",
                "1994545214828428102176810675733016537",
                "317957073640594636018183988852393488554",
                "64358809727393381222444438336444852839",
                "216066391358549820466313459077424140090",
                "326117688196546693664756630424004201938",
                "19349676876723991620166897087750267321",
                "150114840241036849500058955949956613792",
                "115967169937217850658314198824372397249",
                "2153544353137623146885253830950047525",
                "28476831832592312145821036255178148304",
                "35236552801975583134843032876449347075",
                "245780866656043914789173415920962064665",
                "126991023015437020886800261468191028503",
                "174991326179139402228732003101926662097",
                "43698642861760240476694362658795931338",
                "229416141578125322778114263863133308113",
                "295175763209541323159954692930540916058",
                "434510533361709754507525609201894322",
                "274673321990861163133041416491898761580",
                "284024379364988017182473567060129590907",
                "195778248108785279972433677124519142405",
                "96680159550113748612559561749048941465",
                "99183592401178193963099535920952873588",
                "114653169465637508563356135068769882835",
                "267568714845506512069928420227043414169",
                "225939665743198801324580693797287845064",
                "121020678844985661626447388921861767803",
                "290503635884050568293358366143848647417",
                "153495427154548786679617373356047081874",
                "289395054033991563168434804374174552806",
                "332686910749526332166363972430743371830",
                "46046271953136591659748349933109991516",
                "49269240686153358806356780044926562358",
                "58691325236004731398188980820548416299",
                "35300102928745163471363991262839489457",
                "151936108385714037018288942043795764743",
                "313636227965463203341362054632121798166",
                "61196841040557884192766648152340525286",
                "307123997796994645263197796886493592448",
                "300468868288274640301813665313795606575",
                "317508298482191786683087868417331114343",
                "8372589583851770427234527811344639920",
                "133836751564925107329884103533147550610",
                "117771847976827291049691402184495490691",
                "97916666265116104565874540374970544371",
                "188180357930681053706074026272515886188",
                "296720181791264512422495052397985668441",
                "87165821537521195480044479187437044105",
                "320228847184355399034088907033112320648",
                "107665948546020750691425736747084195257",
                "281060097893369410869820547585624929295",
                "99228355842933547451551368500833562806",
                "327462943499876101263435977765088674129",
                "187062637960860043159742570950645710533",
                "263894132894633547522764836206431593388",
                "101506177672750325041263975854034790225",
                "165702684402523910400312191172788617745",
                "183013724204177350870810410136505981687",
                "273846032072063359823816763731889302838",
                "316237635102232973291300888102478669462",
                "290810131621760256711301033970627168004",
                "25707535119740890449612020002125320783",
                "252001649389464485504214188339898532019",
                "150633476354067491439576235020067277615",
                "106461092161919792737996294128152124716",
                "74269044637916073867733299188030085471",
                "272161848487068578447273501763260453817",
                "207657929340410385253652146322638734843",
                "24723867350673361629474417944438023116",
                "562886904193108849279544784440481170",
                "178489721401834177240401727383375218455",
                "84300700862056748438779327265585362226",
                "28074860852355619640624319274485296270",
                "228163803349886228236825150979468843113",
                "142711642230645816535756343720339902756",
                "54048553429548557091409132988341129820",
                "217609948696143033133044276758624439508",
                "158320128308551159991849757629806564960",
                "37288142102241987754465645214069140364",
                "107568297282329679191742821096119885722",
                "125251436139622307383717925917883345158",
                "87928172237868405013124474625644798806",
                "288783052771282183394445589664472694303",
                "92943676901791130867799464675854498068",
                "306467390658209123268417011399535334282",
                "2433921969183551868471238725434124509",
                "328041253030456313761816926359493393613",
                "104035724394812773247261236742162475663",
                "218082183899114151001184637526623118243",
                "125327605343427693425132794716874090536",
                "112755900915266979082800632609780295190",
                "163058180669658179248927583242777293820",
                "209094057951662374366722358657269186298",
                "174636590575414647454748403054488493606",
                "322696010486359159488994634511555545147",
                "10758649695917639546675902339809619936",
                "207749961266826512172070757113355944707",
                "74732551721394611360766045314897988731",
                "222068675405774074373121295093636493123",
                "164164303203719736070770368111389844186",
                "316175639691334746583189583605314854912",
                "96254043091282481449829409802550866301",
                "335680121862630886883402451477384775928",
                "19048014955761314880282692440167966002",
                "273124097789158934285348334769720532642",
                "281221138756102842485785012128022606496",
                "328105764618177735838551100251908754848",
                "91572804097888660289036005220235855200",
                "294382234630656464179130078284814458927",
                "238904917139183578822439525659275280429",
                "149973730555188303401745415189442505510",
                "125345826891027852149207744678130416376",
                "36215816813303725707584075819036655721",
                "178219765208733967947868691660639687595",
                "73496092738707391335382048588802865833",
                "136555878648412748095716199207350274225",
                "269822898623710466234215669968619294827",
                "127906407901923493938840951180022608561",
                "203246820739509441753119610017062011024",
                "260100353186948715546600604411038254754",
                "223540279934797691719323798036683574753",
                "297302915599435643704827662078152920211",
                "94051218351769616513344512547294947628",
                "59469739152136654618059231704252577681",
                "19407929657461884668544399510736126709",
                "218302197629069180752890679207257880855",
                "271663656238455315597331639922826734813",
                "264040901874546449187752356097172112247",
                "48941287716532439527820913038415170433",
                "263124280101753480687934515362789590134",
                "214867141815130842413141664528717778632",
                "93154247313958191601797616730490541640",
                "178336648185087668472911983261840533203",
                "233163162635453091385277732432450900815",
                "248003599318897303324379076110763556613",
                "154610731398379761241282133641805599655",
                "138700287835921105441018284295257560656",
                "109713551937002207409377717015971499544",
                "52126036890968650278879112553220223639",
                "84385119081772320452979525630925836826",
                "53169041230076836274375719820918947421",
                "325438727315010645762232106518037405679",
                "327012498203489310848020425364644532472",
                "238375212098301663515818087911708155652",
                "153822288686137631469248298999651044326",
                "197768233876642014287406175064540549655",
                "226321151544567136603114889727282297490",
                "26013368568604735937584136291073054214",
                "52437183562842788821194887784774579914",
                "155623117745254981175602830840020187103",
                "34104600960423275185362828937098124276",
                "54880527404658902789129885596842351395",
                "110051874708505623342810541949113879125",
                "127630388154104264525565084855821159786",
                "69466434093116859560150935127858550818",
                "37392509653209812598391824492959555930",
                "275309623881665942960460387966243638745",
                "245713195934158195794967865094259922292",
                "159236249543725771880365877582100445133",
                "125889288699103381639125593404796469930",
                "308667662726275242142008379408572485169",
                "34178329810010100707906278516765020841",
                "319261284628361039450984162522397917563",
                "208886559193118571634470677623997384825",
                "31319003606374136258406477644264487102",
                "161515173079000734187531448888096017872",
                "36625990953690480219070027959684780959",
                "218900257828886919722187918793191851158",
                "142212421833290021465828529790454485019",
                "244231774080516950011405343158254052410",
                "31698577670132359110077855121401315788",
                "310708766724902657118309215025282107949",
                "188683525201891325369468642519671004778",
                "335765077976945373729202047633167550345",
                "196932113758265179311570520441603176349",
                "29035288541738786186175847423670599620",
                "19663061062507679110823721158040059339",
                "236836150170073428942957878543768801816",
                "117137794954143741073680427398903954968",
                "149191362202785189498161816346225165386",
                "279838037331057759132051079446435548797",
                "144897092903138699396369818244212547882",
                "21997091167235307326107381023369858541",
                "25083848968113160589704782355634568351",
                "18718579350688851407713748015024435532",
                "1779192976431679321573846105382653341",
                "4508812638876478306574292112668712496",
                "30571918108783826383515883970930007953",
                "229540459072206350412133167320251623928",
                "160950017448256842446523534945487056163",
                "279245411731566118736524642138402290086",
                "190859036078819585300775020317337944641",
                "114330468185082152250584428794280488030",
                "323006297147355822324950246936722844660",
                "185079615859370425814826978923602451522",
                "195322162026584744605853934265513977502",
                "274036064452820498207467075986170211088",
                "235763932481188198651137765315726628995",
                "89851500136873018061022781418883178349",
                "212882110167684052506719956509863900167",
                "336986148465462111157247650862451817360",
                "19017422918972305938206096181067736893",
                "292799728037253403408247143787607933557",
                "145538904487364543032600817924442239076",
                "266281085187488611316171278892477635161",
                "45119095953522084809888043134039061322",
                "153041447533228730936930554165674541399",
                "291336683872739524371217660552661746581",
                "250271774357769000949315246533664383537",
                "165496330531325067595651364790712303344",
                "18976242151008664185372029076701665895",
                "329827584178043552213717719101178701993",
                "248876651132682994769202124879325405046",
                "88556307319273736474173782221823675008",
                "71256635958837252102283300888816935168",
                "247035101369392186081412999340693599386",
                "337415751485979049631807568686534261461",
                "101230037661644323696139580117280827795",
                "190081775693635868624398589049198074833",
                "133785321493845961933092736309930400962",
                "139689740011262831343277241988990794964",
                "327832753027451803450295440326136072873",
                "229573515868355033223020520644759914334",
                "300750475037966586354024052400759168544",
                "78150409695795598481691148332056172669",
                "339343870363604223933991326621668663133",
                "82556394198633437603838767516080492922",
                "137174011117843584831885771771309502125",
                "257441021268511682140353031285083739220",
                "243267973982976949669545627701560352676",
                "123555437152155986208282120559014151887",
                "263758805332533149196735662565200959143",
                "245981311158574336063426508015944477538",
                "41066685798638659639041833889129933643",
                "57538927633469635921036003118649537146",
                "88707761053589638143350727765062872610",
                "36387488931019103123408562466959472952",
                "273236222368531651057018094560958697130",
                "132740839933348489594476192236281762575",
                "80248080381199121585644249724411000793",
                "263763770758416890312685502933921068937",
                "277729198128365114242299725043685433560",
                "337087025740289218221219824275126308732",
                "131925212617337822520119897939579277977",
                "126001842318396628098605135529472825622",
                "274795986669960850343896182238387742397",
                "276650647229024502208872930233973146253",
                "278629608371318415587593442695184293510",
                "100978204739367238935051896668810039342",
                "281714859195155274278681676520748308578",
                "328628095686069152386191672612378672257",
                "330695630012236733192713259013476672061",
                "223344318373243578386099146227363169236",
                "291917083774405757119647083276034044632",
                "12901146417154668454283476351124004712",
                "9916723058028319668827229604606226273",
                "35522523144474177591061305753415897643",
                "56654174535205037779712550432062803025",
                "67175725982691501372052083803646996002",
                "219472325669567719175797826442004220081",
                "300411833740498200129979727568690069595",
                "119984254796749007091571221461746824840",
                "264453174765606687962359971594397567576",
                "292826379851032748993566680166038451664",
                "10078790962353775334276330648944546394",
                "16802378538435470461198190101749283601",
                "104082350308647533563446786509426119654",
                "114394828953171912555505837587542615106",
                "46492386241962098262556503203324403314",
                "25841602727492607053385290399991369683",
                "283144934529001992157160521868463343827",
                "83868422012404450222462524787725144574",
                "56004443144958394942050653775633440694",
                "297891666867375975357905318010384790934",
                "334059069965259109979765159040190845277",
                "127428332868574333969848367918997972628",
                "283876673414650498296943451009762285094",
                "191051539601420463831426240423034883033",
                "78040848056835945779356696102421771137",
                "8587800773375808895192608261820053286",
                "221639902834985924136785145570381458356",
                "197341007397737319568474364993315209381",
                "314079128767581648142193513383132686129",
                "152795873076291522762396013427406888610",
                "47247028144172283812619445590128720326",
                "80426794927378855678501139599168714050",
                "281281054306431773681654739216932279757",
                "143263929688265376011661633551644154759",
                "311448397390242856104970767962064745306",
                "255470034555984796468998198262269735800",
                "162625030172164006067993081157711903488",
                "191803199641418396757234764603739836215",
                "13649681394883219957366437772780990297",
                "208301425396477081336583872345906318619",
                "247355463702270916041580761846791816174",
                "295138075229346701835458958500774849642",
                "198176680456570700044711382438982495760",
                "77721375678272681254834414130609990032",
                "110542361225920986260940924537396843393",
                "14788615025397710540110230132285955696",
                "14595312836826989972090808481373795565",
                "145769836320157084867927673528950677995",
                "320888360194543846559031283296355834081",
                "307180256282758714878702580134857564209",
                "59195075406044791252838807812202061023",
                "48422741046642862882717541422119556670",
                "291576295865222743765176568599348932879",
                "127947555400268333554647729884005092276",
                "255797984100141286046617397191142459329",
                "253078605958717015472918707453038531543",
                "222752850581147030667708158189977261180",
                "91204832883932586297119742162598748614",
                "34450819724522390848322332638566415748",
                "178960157346466143320237203490798712154",
                "259180375042413973738338795669477916799",
                "21572958559515750304385311946854505947",
                "211541136434293540427261498026109347247",
                "5674429773322556119468237934173717962",
                "113423159904733779732203562077525486382",
                "154134964633512277407122369724101513984",
                "11586091737128282922701245703211465913",
                "303746706078212130872252540246418417988",
                "161311209811588964837029495483711704687",
                "298027842868191823333897222260515578457",
                "139206855217871546015910416627952909144",
                "35877283451200009638840929526780298603",
                "232121074754421025089314123887944896933",
                "185864393931783071145858574587894167574",
                "330822428920909967237547993431157049720",
                "47512629016260873154460791535887348972",
                "109524997561279659254934042079775009418",
                "151076351450228252371399879680507628810",
                "83223522484286595416924156605345699510",
                "319006577213381681664668765079192678568",
                "286610880044141422986612763476887802300",
                "34496999503156644529644237224099759663",
                "35785298159331246749310981063151554011",
                "136626485652861876033667499667338970277",
                "179539599674451503868320278474281329191",
                "194856952404004359829846134934318359832",
                "292979638727147412627036434786643639251",
                "114225609584463226369871529481298137242",
                "71943497516012116072330853985626316347",
                "82350961092127823865658634205312315803",
                "7412626355268600514839512548847806254",
                "320811923258935418911605048552992200486",
                "310555110886710803280752959961726160109",
                "37000110658215859020896202870153407147",
                "2470540350413008416931785256978030266",
                "41122196391540695843870645513983831862",
                "96699812661428100765754366430031060741",
                "164032039002185168358956008505545878983",
                "291555898343196077515024255695528875465",
                "217015984017265674704072302926140526016",
                "328896671886881816521967733748809470990",
                "278196377002276911315811912350849499915",
                "149673648013104727253158917487709117085",
                "110619015572323361366993093291061156239",
                "95555254894193442019802377655453157182",
                "70476339916483068425799554880003061019",
                "296945563482293485456062837538075250253",
                "30330506822082739453548521197818017793",
                "256676696683039118026650029524239491118",
                "169792857723912983213014133839878147262",
                "271343990215037934648207720990363148567",
                "38534545829853037683928189997372693462",
                "220454195396994838887845885123892710078",
                "150048819689571156598097660127364029736",
                "31442020133623555113767001300786534192",
                "330207809249352223555216525335153711890",
                "146908609216599275368797414620212060628",
                "334444257802746083516186135334553497556",
                "160632783614775638230499689163126838923",
                "195239637211440930776897444792507081771",
                "49634620428448207322388864957110705123",
                "65577898691150489326062379620670885566",
                "283785325932296689394485305988709866661",
                "237412619969548767999961749501145163950",
                "104446242423080412807339270213410282800",
                "20884171336921934467282427355841115407",
                "250491495745871322117838326234131997317",
                "73386464413406278566899252093013845502",
                "2709201591934637002320217410220222386",
                "42740016203834735451178198952668171805",
                "252411713546892920493792465628900769444",
                "152756191865778966283643524276610675595",
                "187590972827694415792152574510483013972",
                "304880981412375003935000303604358488581",
                "7203544885944089306028447436924203551",
                "18690477375392361024724693427521904260",
                "172863834719299597016347656276732795548",
                "34170174674817853509144451168764692127",
                "20004260876027150345522374322757017354",
                "10975941432963671437090197355621398291",
                "70162035041707276988200678042960434915",
                "142529629369674979857905108793858828212",
                "293125528379783757147203700902609980956",
                "57097049514147623480334820929093462871",
                "325656243013539020053690112581002174708",
                "235687278022813753905252112590284705061",
                "122212858596721451581584599394012459421",
                "205755497913773593262719925594709335058",
                "162907411823552532422414832212502912695",
                "283730509054376877826482121964724965609",
                "307685681551150924966700409562479425358",
                "308275925952114721801988891091843872135",
                "91999486401333355771942844911652806386",
                "23322426016195946525882250072524898524",
                "123093266424562656306316108672517248113",
                "146270232238188015715876017984762429431",
                "158800868902241967834453003429439678170",
                "139182005978181557725037507607454021687",
                "264534315260897234561800340704910901103",
                "156070983381216869607108150010685901719",
                "178838349042356443866585979762546391267",
                "155926705725655562214475794439819486454",
                "188646268732190304067275662712026268970",
                "291007456012884990290487166374000875974",
                "294980380436180717199833903139161967297",
                "278107650082887861102909570206521565517",
                "226119165025049898836362658104217001768",
                "119091318151864354806508966250875080060",
                "199432748226989355023246724529898099598",
                "282095026257267563568462306032551257754",
                "110654257548516417212280609740933633635",
                "136577253760692698147373733824839217307",
                "278578177038343505458545710083620781465",
                "234239280970114899083272204535321208366",
                "21298510051934005830379314135033639744",
                "98723508003466535587154082094401417849",
                "24247767839847326951259772574887814396",
                "339468139934687812870085613607747024408",
                "284036334790115098542744359647763297582",
                "5144482155539235555459128034570541739",
                "302691174199450110606949470421541519282",
                "239035808479249653636083768053223590210",
                "23245696318460130129288977589764193860",
                "274068401801921095448746442651087211215",
                "290139624212273153189096765690888542308",
                "205098544797173363880749832528577428398",
                "164581572421995645248853869597639273202",
                "5745088307991780282141303850403478852",
                "71980120243605602064718237365004958424",
                "78303853616469747070528927177788089541",
                "332219373503143570304157307104580111081",
                "299874377519566904908274363359961651745",
                "27183485521943085982733127123794038914",
                "320359903758465992107699236367570911666",
                "58137852921236571135928559577995834634",
                "107405691901175380773634633369710176581",
                "169080265425430954645127292249432396641",
                "166188356521270714195263781220143575110",
                "258380117869618389177078557630030740894",
                "226676290482255952202246265770550500726",
                "44372612470592686867279028083752822980",
                "156715325462037657638234293300443341505",
                "208798185900283126735363272309097447091",
                "94887965694711354858335701373203874847",
                "133094938558500065474471017793092440493",
                "263235427554133606466346421226445929694",
                "77677497008906482281042765799216051596",
                "317545744778840239690693710946737258345",
                "66113412551884860758593155886144883265",
                "321685390925508515961167968136635941029",
                "147758311362612409864812405300991890185",
                "210832084496923855258506611635963979583",
                "211467688799711599022136015938418902035",
                "286072986931409065333502407610208041973",
                "79954265452217897112280930597294883938",
                "26020906011301437027152380138008872489",
                "78428278465270715157193297283204035289",
                "314656383168665449488106275899134852926",
                "8630089987495309808076857741834263630",
                "156132077670339470996179738898066746924",
                "136340240061160399205835316841308266885",
                "291763923966093971612437135094479373821",
                "273629703937676642443535955878663137748",
                "310959008119983877962559345932113219132",
                "128430596581596185493396287050586530153",
                "230749573226190001360354030990722684445",
                "285541469416898696386648900201371829847",
                "320964895572576856725962045754615778938",
                "1914821312666441352070704233387492106",
                "261170702176309312122192978997845954652",
                "328826284162944216865264245702279092214",
                "245023190458860150361608058992176064558",
                "303182482925112866327931412006979969806",
                "294852530441999162141358430593547647067",
                "255775978576786604992117228284824288506",
                "82143351858544323615761283253802608625",
                "81401272657397894756326179195150731054",
                "285520726394505448253988812712752426922",
                "67648692796077695011339184548398241496",
                "208900573370567516463265965130280919211",
                "45365382911423233157963390723318010948",
                "325374598506003553594320115873845430692",
                "54644516603355413450059680915023660399",
                "183537952805463922164190585057075794232",
                "169493353592470402932142720751575211674",
                "301471781765124072385345324525116820824",
                "330514059162200521449892448658535746596",
                "58350599181766777587214935808139503715",
                "262907115802100082112864649322381322525",
                "17599842174927015644295058697049615966",
                "204650510127602790815562349984639891262",
                "177521512438971826713254667196701465414",
                "20275354337680582172327677047259697757",
                "288697033387476906400634554281351571026",
                "72641453677547063364623452065256621163",
                "46102004161763249040193629631952307209",
                "239701813330018670383462097487116586575",
                "60781740064645282294814869399582608384",
                "308012562098417624653855245134885339419",
                "291237615907283769908677110471632179197",
                "318679599043795386218104753637762690525",
                "95562128066247228120321012336090516380",
                "44579495434566519578504702543146376859",
                "126967579598474617110766195407076239471",
                "259399459435789042710365217414959281964",
                "237327589332604313966659362508667472409",
                "87202903635532854994498366351591292730",
                "157781861778470303427358066006857364030",
                "8599554803587304712328679692389001007",
                "113879098500143859345169676949522716294",
                "91691441668843513995324978938163174565",
                "186385331645094041677387005498906129135",
                "243375131616788270939210528095312166959",
                "245023618081955423546892147759582075486",
                "118326306608561537379204748304507345950",
                "129410946090231103607417892535459321634",
                "97791212499061123365494275638544814097",
                "109463962130933956359886131992164520876",
                "296336650356691032263379776710861781834",
                "67270135961569836866035753953698893963",
                "248733568877650457409138189669546021708",
                "116201890789272093987607655041221058661",
                "100899750443186543348612425405830983821",
                "53617453393352813296737522654644632622",
                "81330530891028781817402931681489843959",
                "3371837327640067340294946350400494499",
                "17796507826614466782855810664779568868",
                "62580271877545424223970415641108673353",
                "167227067389969982779935810841925890340",
                "336665616908070692031287408141578294740",
                "271238262747904510335801389911364373363",
                "254106533354534921302474440420079307887",
                "207934605969447130301808463171662878560",
                "179986323205012649869682401623017219817",
                "191165799874271552418458943936137148637",
                "218708054133466946923081727220859736082",
                "15748970373709417566582707869595356088",
                "77740354950161487055137585643577630554",
                "322567140199715361169399704185373963996",
                "254663560296825431575909820295881281196",
                "53498136113856591396861373290502039053",
                "269456329145397462437225743238414844299",
                "340195016768315102282687299463249725297",
                "322605370063588621567694560681691240383",
                "69015316685981276519897049227472311057",
                "293417043425462647633625194865451733698",
                "202758934505363721414335297841994023396",
                "181654592186788006312078064488825566486",
                "326608129938315670053060814509201986435",
                "261054418337733613816498535712274442246",
                "296863529146991257212036202859544784167",
                "20283419710465373020053764380500866679",
                "53913656479756828607546571773707432900",
                "321815961355950059316320136294488860306",
                "300627565133503824053869823554127173170",
                "255929711028909192452570944510408953326",
                "316573864747103328878757715208376749449",
                "328555464055046599358699362771514087736",
                "315858560618171286580035691247867257478",
                "251891969851513626359283354662453563431",
                "156140792398859550493668969242563698459",
                "229495053389268309412704064415679391717",
                "3283865138920445345917624728815577638",
                "152283626045885749522611414256399140451",
                "295393628796332410353159920462115555235",
                "318317617962718232043732617029714204148",
                "87951301595613101435627349095016784304",
                "114696420194882097381589069573203132164",
                "337032125152295627001189346617574002111",
                "109694989542994556338580774626238708835",
                "142915834012516600596325133729214476826",
                "227599119764125417561815598655328805659",
                "299939252450798298638240635423764672363",
                "336270554807084254867218812153323147235",
                "311483194658849582081534318400274121526",
                "75898954863940553801231210623975587837",
                "307458809256643058599229374316787129094",
                "225176382697509398108232919119452009079",
                "18688066726237906411015178464734335395",
                "14683838300920200434991033192551778991",
                "293861029690622120066618138474190124572",
                "290669586293874951841117524264296328729",
                "282985666793363607427658095357099816700",
                "331146369006869624390493077443698091136",
                "163578143447897481428015292831564460372",
                "97276107832257113312991882133716365832",
                "195194074841268123875579233480165484203",
                "74117321965805656190562011942287662609",
                "211970407129750888151167051349414212722",
                "172407708756735100214685530491479576088",
                "18060139879110233486104984852405036703",
                "108891702512861576841820442921852744569",
                "225464780471804851699599971057227464037",
                "109779282592390714099634698617095909888",
                "317964432163149087197534623420870629303",
                "26833995317763466991979550325293060715",
                "171697476732402767181226425998315155588",
                "105465106028897340455197587028707471297",
                "88745439867448161581240800263255631856",
                "145761474928500057723002668761312104387",
                "8930133446228980592021066755278659022",
                "259128381245363732447376219135483034757",
                "261110084910776062414999948610059222850",
                "292893908833513778337338760837580131499",
                "329183742371790710286935087541859496783",
                "163981010066943947547342114792501303217",
                "140156171887758381013518808821002519597",
                "25398213419927665343409686472768262938",
                "34798918383160093298690388686009506645",
                "315678594692203919306201769983004945861",
                "309550893053194628662801973669164115979",
                "275016010150362595142859484386023629988",
                "119605061750087770613184633679887367894",
                "157218824684883208868488771609884438034",
                "326806199571522455748814716889048647259",
                "13130300140888512171543017749898461717",
                "304570568500606933190156962708928154654",
                "167138233148731522495016415838503966681",
                "71055567371244839811728696250980257989",
                "215453743235869926844989023629379499243",
                "225359274626093344644348274979308010071",
                "67483576645777839390901263927574381543",
                "287360435016358423740863622765980721941",
                "303068317673591439855972833378188356431",
                "228964573646520277085739135167996126754",
                "151653603772562613425119447889202333691",
                "34865137100837331712506405152309617093",
                "173678526828734230643432708038747047892",
                "20968542184825255231225020675163411310",
                "266149844361519205312986669453812582745",
                "204503378763229318504625599868493492696",
                "13531747596203968543476696088142158535",
                "183356219689778887143671393072429503370",
                "323852813151002306874875600571112284890",
                "220683907663152260232698319012302095693",
                "338931549901680498679512351752381051928",
                "94036714202161208638327291606782327606",
                "124214669201429326582507175694685394883",
                "108522817351415846841840480034335535993",
                "52479723030126212561741806805143825035",
                "93425835563784089957103489902929133326",
                "134844061549188672300793058677737468484",
                "324884967669625836451660197369522085361",
                "110530191642490424637333039839283504168",
                "139340999759219233645656041117171106364",
                "179000076540835219866304652857061683634",
                "26516900761168565857769518277203058025",
                "277558218707010742973488125152835249021",
                "66068813738264307842793254633321852234",
                "107800418288817273167088380096227389473",
                "204323068256327325985266767792483865112",
                "68519162296100621067898492504135763226",
                "136655013413786584674334145910791597377",
                "293986993774111341630503204666505003497",
                "331967002831960905723075288353257219021",
                "96949704705383865483947210162832836595",
                "309985065383638838947062709306062730522",
                "25913658023087975231904942202218162309",
                "313507151901813806613834374382268322861",
                "172343671569356763715444301620995538004",
                "75332689319585149342855513306496588692",
                "223921307647390826894642852575181618360",
                "43954070763409436099998372165143534962",
                "100018628582749393645705527425328949693",
                "55904543196408675208104716145452474738",
                "140444680317797231984851521567220701419",
                "149363560232435173038296053194934034315",
                "107565486713087440576063610096296572847",
                "44699242334886954364259295250164832187",
                "6285111097567888647193839144436935368",
                "105696759470134563362933046292758713233",
                "208595309907052889204120988610158662658",
                "154480472627014948819875810506803527127",
                "309880717231147146021389353280163019340",
                "216602674977200411749735916653002453687",
                "234001055323681375355495799783047152606",
                "215118935489314454995885377121577083794",
                "299600739613406594411483557612370342076",
                "52529578166453531321952513633643592439",
                "74348424693027858497174663281264658884",
                "48097470996305102534852855862939276219",
                "244969673755886184323113455538866045036",
                "150198004981432537576898320888884687691",
                "148712838317197087155590254434012154510",
                "184036151635577237940669126826758122280",
                "229661670433215994454248125053252263799",
                "300973992705650277787058362828263302872",
                "304593729047059391902868100671443396685",
                "301864877081347290165281618587765820864",
                "331594273992569652295329893616769968924",
                "239264010186727290654079908633302210527",
                "41144409586956208775632095780481745581",
                "42637417070287037851636955670880383194",
                "87981050214764175814888242556814432168",
                "188154536337253958452185103391253946815",
                "35191363039289570134901100776322861137",
                "268976830746108740918869686040414254429",
                "300758383398873789323026975289185113923",
                "243810872174715484212587418474551592824",
                "65301120906268146817546291916742142557",
                "185194862745544030323965577847978950930",
                "282160674849214819445905723660238006185",
                "252286051489852572959873591084301213296",
                "138077133237221609174117973346815781009",
                "66283352037465921680146261907724023622",
                "318172104361895019239535782574247815022",
                "112492003396789519682428803864475605354",
                "110795040866030629594657590919415189921",
                "119075446001598971923144227551973674849",
                "141226396995145489167353813955087801162",
                "139475268669914821209580221582589418477",
                "211228590861589452437098902316422268034",
                "65183823002623026110639901964082348862",
                "269162162881736183694543423385263357151",
                "75084144570227317046774137608952625742",
                "330279079661991208658223506694671337397",
                "289531308749491304246855206097383477026",
                "8974126275616473884355088564024129763",
                "80256940233611924463325622104485919259",
                "179724068920494318135106432852706088894",
                "324467020554717970535002581642340475213",
                "312239496509491150005490681706638539627",
                "53644266083930456198947116820181481871",
                "228230250621442672087373215898158573726",
                "264767411595106883541963169062944694157",
                "18366321640435370161096037804837877654",
                "204402097695864998408499636199007277963",
                "79168646176545618620202665322432280921",
                "175441184344375662658764860801545369815",
                "168956888945732687695487176965409863116",
                "159735243984462464395319338105370298413",
                "314142739076007114542419994492532211133",
                "291060691641110330320148719294301264351",
                "153137957276886560226684230589782196977",
                "108809622672044996206293537551850016334",
                "130483296156453436702432941320718218870",
                "326145963927880316176507523106303644331",
                "196977807381540654444582422528000653030",
                "118777488660674356695296505910546863166",
                "309640745613454438881460156040865225543",
                "212776605193814473742534282287366452907",
                "82308181011508277557829117214058483604",
                "317194744220612232569712833306355199413",
                "27956878270152001205125610210623270828",
                "294000920087660876240083255077328771997",
                "297148344161624071260025064664312480727",
                "215854656117832691658037489212326769218",
                "119489759305272006381930734281552004912",
                "96467008551994140803162264882078679471",
                "217540090422501904444527171899613448621",
                "150506943267287942782235288305225538161",
                "189422490885741713296681667024002029151",
                "326008973712935595224603236557442421280",
                "146533585204140351131708342094317210043",
                "6864141417606766699492314639345179598",
                "84164008158345902683712396573396725670",
                "314110470001306497741234583605482282745",
                "152156934909259777451139242256009483574",
                "245469946178334717506090270212767921187",
                "22695796416173349946994328587365833892",
                "317397088722226637613795757978680932574",
                "51844574890566610417171154753160230390",
                "53745634224116140529552828466716263808",
                "253909246327627029933145373243607166213",
                "43941381745545942737208793946588826842",
                "123814647088111731479770241319842890949",
                "215676198672542936406168896940743924493",
                "97502484762246055848088479051597791909",
                "76842996449432627510747401829439004923",
                "264805947400843524012524564589648126695",
                "191249029106769312189369737299850416777",
                "310473063356767356051571239897053470188",
                "260967233922515423604873186978339067542",
                "81290674569442055021789786691992087580",
                "192557145714713045477522030668352958292",
                "312406463301069282965261351561949827480",
                "126341707935443493778363514419728852221",
                "148662965950419647878493969302007803146",
                "322050664808352983118784989052275077798",
                "229409168371940137595956693818587680136",
                "286704074421021907063175637837049362395",
                "288450165468405996545718689528832538563",
                "266587827226084892709758647835085230081",
                "275599517483128431211386259311850424833",
                "244808911265156081626457877855884520725",
                "258402449951368752423665202534675583914",
                "231282185720380720257799594387838275275",
                "291874198814545367223428624834723516463",
                "256978058680218968808630768855691792028",
                "102022799423708629260487036585528223212",
                "59081888137704033732742941504223565393",
                "271028417938190323127315695866604611497",
                "22951540663537783184893322922751252284",
                "93316978407256627106726613013881747153",
                "219453157732594436355345207811527060954",
                "141713840376828199211076239272377760802",
                "289381794509395317233388379032350138182",
                "60588272413181886991372667120573132904",
                "44164521195224446151795115997520064557",
                "36191103834719478193962395935088472108",
                "279404500328084724678740922403430763766",
                "43993960110136969299143705989454522893",
                "80563993350965299462962491710478183848",
                "119651845294960729436167951199070949907",
                "195734811746431473917488971578115624290",
                "140327976387644074720363350159140188751",
                "8886811259270211879340644265603718869",
                "8311386821607859206849035647284057233",
                "221713737284235203797191700415028847117",
                "108086346399922726470085495771114632308",
                "81907149249883979706846348997532157170",
                "222579747078463097167442007068611240120",
                "258316835709175858330390871354993321002",
                "257910350577485088262905906004734107134",
                "182883217250544190787671117458502176643",
                "196717889436490518700899284535272420157",
                "339931840620314528984420937274483199598",
                "213664630968076029009809956461635610866",
                "201517958365265432440561360906805473240",
                "47491628590191805132789114831004706383",
                "288418920821517436913707659321061922272",
                "301184159704612555820594047065073864122",
                "147429966541591297146249840680247066605",
                "132311875008271864941383445566081133829",
                "313851671001015891495072203668441798340",
                "172673130230421148601928084076151515358",
                "1357911842679838736235995249979897030",
                "138922689547696109871645507033490862237",
                "234870384265646266965820758240798611597",
                "261455526664318656898029363261592138961",
                "153746577616439685946149068352498868121",
                "188863191002338725729849887187783636366",
                "161964256005099689681319443826963675012",
                "180700763637520655164745554039690457754",
                "170318145601741890951697146818763264360",
                "176903668036416218669502563185400389835",
                "2872263559760537122238290378220991803",
                "253168166666617388464040580994318999160",
                "37122267259496950366963820257712282187",
                "137540038283391164939375250356863250395",
                "79594491240917088767472054409658967970",
                "283852191645595653586369682053342192005",
                "197138073259609752552517321687155218936",
                "231278370961259603466279563945971681509",
                "334870003682961381083328306423870320715",
                "33383852099471670341675194099866112729",
                "206487445022168357057485453949185878286",
                "300932836300474872776668236475219114805",
                "145356123258327162635368752612768835657",
                "205597632865610620155580081184850815818",
                "333130033582174221197531784086594844268",
                "306253204149885750784860465714592707028",
                "237649388616064757653442232002729987769",
                "54078206008227529458222783341433291303",
                "84135658189120094709525505429239512044",
                "30028424261210166928604798572067799805",
                "233847531783298782198401996108643947120",
                "254381312270247071935128036347356152083",
                "162951744817063121692919654139517731080",
                "328477900885885748268285873998773608647",
                "139626069497455074018913790011552303754",
                "11103702211767039072498121590732260389",
                "249223087506285767152233431883289589957",
                "254008363783034491707337069196757790939",
                "206127112103190065966824545983605003635",
                "84616410573781464831703698152950766864",
                "85092512433705549623212298821584939137",
                "37968571026736977511008896489828324933",
                "235446173802558352532197572407556815413",
                "236903202675170731773307851559755012482",
                "312772875671691525069898320444920895745",
                "311146767052997888599360435312402286642",
                "279269638082703878517687925449613070547",
                "187633823432796929336786034021095563333",
                "58580332337839804743424355057173989949",
                "294234282071049208852503502465145139206",
                "335700070171602738437187883703568356618",
                "120501000024396751707458546380416958214",
                "133304790382022222088095328502509260330",
                "12528308380455777926145138553250814174",
                "128584591362014812435622898614223704745",
                "287096606448810811755495785856547488020",
                "10986432410378065149345675350128374983",
                "207330105566452687076971487475886799093",
                "31022508735676618692108212508568085121",
                "59576794328043853455464997362675744733",
                "164672673556668913415111234054350287669",
                "328729158230093539017998270203461930640",
                "50435101640746944848735372624754618902",
                "287615597868875295455529005225456084443",
                "313603744938258056107182273397419016712",
                "112129574099439308554620972591938132290",
                "306317932109122633511350618269183470619",
                "315670108094431122734679474656212713785",
                "25505584379374579057479498779123334356",
                "149898766935434534348488475158508159504",
                "103369727059867023545282929460913081876",
                "308954524616094292431701608108681576399",
                "36499685825045264611060036399044453356",
                "118778210289033255190286092698143574607",
                "127507630166284314604968409572383988746",
                "38374001914543471805659454042340934857",
                "237669088984349725492840648325255951145",
                "95900953802136340269392386219128754901",
                "73800802170666509104567111349983832823",
                "62893220829693890462447267757759412086",
                "50415372832626369177135025907175916931",
                "43084871067829707988823570022379493285",
                "280142758282391740146387479656313894910",
                "67100226473210679446020319039221954752",
                "318206910039037815160090969362907276610",
                "279112585846089456339148703349995148297",
                "24604140784530654752777729607978123260",
                "281861985485361341081179043641096651873",
                "173767464128920733073651096159859769031",
                "273747740992315764755253394708407859072",
                "55830629982641034849684992078436053098",
                "160729500344221528423873567706417636609",
                "96543738640979690029848827169533286833",
                "253782396231359939239604969525080122352",
                "40545679562496800028103368578491683581",
                "147996286875505255093023725125873343452",
                "140450295144971682207106883189590147421",
                "159230765491077928774601789965502086233",
                "9480766564465997260693655586411197038",
                "274286170793559917049632312410721096646",
                "157478932993883927734663127062023808850",
                "58855942341350881199845806418144140090",
                "60058051275334172126023302161738209878",
                "96309646376119940575072980655922299261",
                "92844803744552906949924927556751559681",
                "11820906793741666646749961094966335112",
                "197375709288668720917261150792109476639",
                "192251880989788744471869110082603683737",
                "108830768154688906930656984126630075929",
                "173971068370011580146891968011058189538",
                "89555568616913048107136664258944222168",
                "251207888049776480735804027337512285782",
                "288578604973053447633963386339648888095",
                "168436697113454058163292818140579512170",
                "188050727133520199459142047628173273760",
                "70002323089941648187221353273528154936",
                "300615826709948596949613897097565892582",
                "45250504646070610497152579025711717182",
                "18644508655666388150506147371899095285",
                "74099961284307261506256684235021849121",
                "59122201501912527656506410639760150225",
                "129441548591138125465061610846858261764",
                "263484232136808872120048532330560458497",
                "43769787127761399712973504218461656027",
                "217773083770349195129840750401011030322",
                "136394190948441132536774601737597893470",
                "141321683686787795333406986178176035789",
                "26055493711224635278868066703737265730",
                "14192159142893501929147171799278068480",
                "45157898475718793308456737586509633130",
                "70499840870182873700119425829037515371",
                "21933455080398607244998537934207731910",
                "177212994243161870178712961468345609651",
                "282514818303699176055484475683815736274",
                "42123226892798146919589947769222420090",
                "63088962807818733772634173712074591029",
                "251938897896938301292274475781816918542",
                "127725793047854589962377924000437637239",
                "211546469785883019436570845536989837771",
                "237124729657572051760052996742763489939",
                "197532296577503129436973811401850467674",
                "185688517917714696896451459607234345105",
                "285204709061952343676192346223672275265",
                "124692340063241195781965750118973351975",
                "98214486083311792924009441077647782053",
                "132714036029294773405285578731759532024",
                "50083916425969938312365818401093289013",
                "129448203487927816205612252956069386739",
                "132873288056573017902570551346841253453",
                "172932214549198670105115869569059831616",
                "206927336666642346394787082626521293465",
                "289817707748363674793398231399952774303",
                "51190330004171229347315519156470895066",
                "161822586558263545418295355063775133397",
                "41766667844971641266914679764979608653",
                "216232915797504610131906420484017457909",
                "56211057679278574741547150780641611459",
                "54882116058688007637206264566278863511",
                "224670197024908268729019780306186472171",
                "26280355192410114106470736890384936976",
                "275414132550997076915295194288522463823",
                "98733001181081615272351090487265630936",
                "98795280767052355805878023510258297635",
                "20288875134690613965690190151151130948",
                "153014460474907934784588540616485820748",
                "176826884695942738708437497149748530759",
                "283403320697441574779954410161588278681",
                "102709076175948893674010593263983141888",
                "318924161826520426208919647310952019980",
                "110886892278877259219340692553123721669",
                "270502810289944627945574058142545165891",
                "229632745126897670841726756577652488067",
                "194616098879152661824834573884295450865",
                "265713565296390953860895174303309561285",
                "326508564241706138741075882551919743099",
                "249309973581446227948975349408966125335",
                "196337571377123646628365575753983631543",
                "309977424931401062940880202292111044809",
                "273247312326487090780772384081030101773",
                "165469160539579949799155992428258418298",
                "189348318581035351470306012660328338670",
                "327476287302134991076129317287912804246",
                "7628286229715377876057943782022950404",
                "197778730718307495241646136703595129891",
                "300032437574700977291179954760761423827",
                "36266311552208743383897195696836907136",
                "70603860916494323137307757585350327650",
                "310245439555137221329900769158278627958",
                "141100074818102874473739654846169779435",
                "280797309707405692581986785425315023874",
                "223762696915193676152095677215408426943",
                "317255069553366179538552994626614431837",
                "201250778763449446490740969268520904444",
                "288304222145209055295217248813458448154",
                "41912141956661251935514553467179904470",
                "11252049823443345222163376840941559220",
                "241442192251799414414766402783058441281",
                "158426836372588432304081460421012305330",
                "120109651699715634705540831219997955906",
                "118907378889347281485262632742512264686",
                "141427892369801227259748644625004476765",
                "147340635054441931813519245561550227732",
                "141553491682905903902198310941938439319",
                "98548251045326337472883365491355571938",
                "156378415225280628871549066857065318945",
                "181044134292640831744584255297868719994",
                "157350940512887857359995340393284081184",
                "46120384703009657196125408596928791056",
                "204977859087246703347300916708980316865",
                "166216951222219915735573452748625805453",
                "30496657453958138072328124721871670344",
                "296271965823065040812098124946710698867",
                "246635935160424054388778926338652525188",
                "99953221287455923858684664786156964567",
                "257627833686333883651888191626267825965",
                "327805129085329623253731871220226429784",
                "10535219960349938837269981061722271724",
                "200976348924002200566760553141774754920",
                "239351990402461911986912465375352741732",
                "163047034305892131392105460027925613029",
                "251062609399815438258150783114294805655",
                "247905956350196781968923078768699980998",
                "58893549834485466735057749840601122914",
                "270781176797129328633780705120588320456",
                "90816946678132862204135423422003751841",
                "159215395230005948730765297104543506293",
                "58371934773803376889620738839657733598",
                "289428474494400382140369051879648072883",
                "49325672717126948421936480617609263261",
                "70889888822167146615480386676849171541",
                "103963395196034700385848467748223811642",
                "131926752434484486798698269850695759444",
                "161759176557665633365256018534693340352",
                "124401831411205156382090221152303777992",
                "188894987857044585672571014033742330671",
                "304983739420122596227157714545053801808",
                "24328682586347380347246803627319208899",
                "297443535572415382855011808647375359194",
                "27746693623014222568622149842375748827",
                "152321691396112450698804293065634042778",
                "38652635552216452398796982446572082318",
                "223279829857281430372422762863965445563",
                "52520590141772086672627061872660154432",
                "72852663495363079624756865056052776172",
                "54663078266130439394197465201677862526",
                "2107338912789641125058180255787076725",
                "75103276544029732228945032745942401945",
                "152051499822907264845506456197950496552",
                "91189529266803477336953387471102774038",
                "297745719716847382595186298809732501924",
                "143777130578542697731091137167955284744",
                "142820658575597497603648683796554461476",
                "267215440833826795512231169078566565165",
                "72412552644600225735274670734860437091",
                "230592258974654623180929956761146487218",
                "278336998707818579183898326385019537083",
                "188108022261716656312199347336126675239",
                "169524464568777189673705038388326266526",
                "28852598951004894072108449392339548337",
                "142902465753199437949003908643752162916",
                "36090119715408655770636697833058525232",
                "83993879405881372850632132374256671595",
                "152427820454853224447488707918229071708",
                "227820248598617971991350592620195068775",
                "72910421689507452918617828666856572503",
                "157579476751118550110663408005044491515",
                "184984150010520460035612040841233347527",
                "30051445027319548682070863370839291016",
                "33480060650319969560720022074432019121",
                "8687682739736634899688290054388089405",
                "78426781794979810804264477366461805860",
                "195560476239027613346695814616641841384",
                "34517520224787807922486193518642276012",
                "39104487889271952963434515993805060147",
                "88531991015689059950801260755955810110",
                "303422640187328239513211760081329570110",
                "59503829778520651927203424787335658969",
                "221396158881431247906881924210872569481",
                "124587994736603606093550754754633334378",
                "43237137641304887822995315312705157277",
                "168406919731795413620559959675583768016",
                "130379291489013775793262605320862914463",
                "303493101472422470207548754690711078314",
                "84562450483809470272257765418844616172",
                "250436565077959056364284714295588495439",
                "324232245527937312255093018778170209941",
                "73452172955182383394783609314055584649",
                "232834556205448786259622232231421290863",
                "309580882950146946991014419961754238686",
                "211641777446107291240592831879362701644",
                "337639625650320325698553604794190540031",
                "138376721074791390776510447167659758854",
                "65342899229488960371833986549767810478",
                "112354210857938957077517371748750840195",
                "131016035189194848532588336047109741324",
                "144849676555138832503697555327091933106",
                "195903858809883265366035611811219340011",
                "277167084699129241887075072335008275690",
                "117718017133476991179949340556327023292",
                "113026174286898718169291807753897230973",
                "257340040212548357739893546095742659698",
                "81779234796038333117996832082336680858",
                "264113154522898564114880869843004325709",
                "6879487074429034565349049377322384078",
                "291784226360683690172875306652865470801",
                "124680919937021298371437764485656738751",
                "305777623387312570982621970941512134103",
                "250065783899064423268148625799724293761",
                "164770225897171575413057174674926108389",
                "310750690232084546312908697035228889539",
                "24452400693392030853005850135940812750",
                "281176178909507059223444769585069553841",
                "112461578325994552069228799772220682302",
                "222059638902000026528655357718211607922",
                "141457001261403996657513049271117576473",
                "154940027649414385382797794196495695085",
                "88582219266632228910103808814254710432",
                "55626363138376961733775286288821802855",
                "15540145091513137359815474359830487657",
                "284400079910609619086273041582784272807",
                "128911335626547519173771560540265995094",
                "191175690918442014661059619154911783456",
                "62202731942875091020606203452669124049",
                "100727451936841951927146609540405459786",
                "234880351327299092637557704621061668247",
                "276331752042284790738603401874796448200",
                "27698075024632057619137431915443810663",
                "19279766341625356951480588420292855828",
                "101457155609406046315109656325071969405",
                "287358005976464517028298479097454572102",
                "229561384479181900164353331491592587713",
                "114578171237844073400630670918118052316",
                "134196768792426174034468987744020930764",
                "117015731644742086734902641152248867675",
                "125716800409524611063701081416082898545",
                "290881385657334746313739929084086168738",
                "98108653465147062731172772363592633155",
                "330007340779772290452234648686774953237",
                "141983133329497450135223985249308676628",
                "197808569792986936201512344944857259112",
                "203619752774180260594843275625170633501",
                "124025843331529110542331651771554242854",
                "231246921137916139764921530403837523656",
                "92766715124217816993462010614279585249",
                "240635262828789929374695698718803919869",
                "1782473349904373601491125766155050690",
                "268119957295646538422109296752787931422",
                "284211698270187960891607735556354900483",
                "274832058849175009886557210072149876072",
                "222463983207412188492993804493365391999",
                "62624489065340477641824040374554331799",
                "40606325260177558436078388691927923599",
                "41208845525438606527578249546710019578",
                "275220658012890048469051079264812137302",
                "64786883623368295683127213540225730712",
                "335685280730256751864063186869620755739",
                "53626481819542605240682065893815062172",
                "313646236535204297847700168563391830565",
                "13699896555878350488363444220816363678",
                "160329417549110836382128000852330001184",
                "142631345650849127966497582356343374924",
                "29817776110411666272940248470948279030",
                "309412133995422124637683877986561255126",
                "208578987271288848441123200918733414330",
                "299745900207672042814610779284713183390",
                "200031604102663509784821884705819120904",
                "312548668650271606478524197501568460923",
                "180558697906721655905285074458302444023",
                "29598293529508016532804253287817943894",
                "328470350260437364817564297589455415936",
                "249997401600270304281733922518993208127",
                "243556657495031524231965726916941278812",
                "31026464337867845347103181276804554976",
                "141781259266413778102275875567312021223",
                "16512233499372203115640162097875605351",
                "57954301118208263464138820644032175148",
                "195578388797757367082569571910414154980",
                "268670411745840241852554480347388429605",
                "143342252226746279834301917076063524167",
                "244302888731152978384535019673663190320",
                "238861414601068594935205531291654078683",
                "324236230376908816178198256934047013418",
                "42681150418547782798663459419401427",
                "189123864916946565094746209819550764310",
                "19567198455632288064523578429518140140",
                "32491128120400236679104953036306765218",
                "198359337469870820705707036690419515509",
                "34879213880520045383710212826965407255",
                "61950364264519510224593039317443872529",
                "116159969537843966991385656734265712620",
                "53833339634467301926296883367110715529",
                "267946252271189413209788446642508597742",
                "242038280629193527661700242928596381447",
                "271855367482535712314704622342369908722",
                "11800677373481645214605115234834067271",
                "185615596724649243690406287825029513574",
                "257185696073408545190553747153760029842",
                "92155856832732626456092965129519313505",
                "54588671460849697161140540841804498179",
                "214543452600956031911618240205141543639",
                "329805288461290225636152943352836191790",
                "275876778257927936312864809627419242867",
                "109574205010981750473701308632427733880",
                "77100351134493044101264648732917114068",
                "198067976218090459501298302315496689936",
                "254847039256434016872062655748017548906",
                "253328289105074975014198675033026405120",
                "18739310497026368639478521014160584314",
                "187732739137088409027123008587393939490",
                "254178187906947140023878542171071258759",
                "172360294058729662692046934771665023361",
                "23275272649655165144961111936242436736",
                "112860747867791339523560501115682786295",
                "336106553052521428710955891336876748513",
                "200289823722132979271872997219761498192",
                "32576797280431378604332808684590754628",
                "94626721853055217722522733566845100485",
                "52902476745595779385677740105457693441",
                "200781190856459164889282235565070748722",
                "9075421056045126875648242140968378026",
                "50515702441760084669304447183581666041",
                "226003809771872116355970965476439202900",
                "4348052016358694116383177235459847551",
                "87581645479542460998752163935215102781",
                "93252345940712104879601982842255238260",
                "167155947909792386980801301312568609083",
                "225259632014063713931268599601381430465",
                "113972473742809664633326295592319931752",
                "163458647302300228209908763289902120436",
                "204390861703545401202855347325552225088",
                "48825157438412436474046699642676121087",
                "187507987311456953237634882868874211700",
                "94181300107526881529865708286683265101",
                "133520382769271427337287330011968596598",
                "234308651907474379054620360267067634744",
                "91257183452640482278501925541890502666",
                "21465119706036900743062542963885194693",
                "326312721844467226856096389022990507095",
                "111395515396797279249052864174218584812",
                "147413561253158877753172032512141430746",
                "91495682575024014206482347786047114730",
                "157289411718014709042220723066294619292",
                "324247571564957544864503909847419748866",
                "231501372221592633707725760316821516104",
                "128763206871120148730907369892527097161",
                "180501636135410765219025318343318570872",
                "137387174728985194756260756393908188813",
                "293802100489619666066085728205876255431",
                "11176665694933254124361049521963840675",
                "31736567725941186555693412094940513584",
                "122698107116280919405386080074342454336",
                "15846784244077817567463884673356785148",
                "296870808147822326440386706278533803335",
                "19586773719018010072455036055759052216",
                "168880456978562690178124237998823868547",
                "154446810545179096996139481619656781816",
                "221884401888492476421329394782972830030",
                "228527818796610813322605758798033038443",
                "89665036759334553135317402425410746709",
                "286298517491246072123733776433652034179",
                "195465852509720845757658916710503583424",
                "288193019788944379300176197483983661125",
                "21288867144547255569121470904241259160",
                "182713717688408091312077761863728933711",
                "244064915104132679466359367278039307385",
                "308501875651677589703463319842949984535",
                "243192336388791951766301274208811431733",
                "124976779186687844300468457546415639962",
                "1832336658592112041493701203464461192",
                "325051010698541758523926327838558820785",
                "340269511735754779517915919223503598643",
                "88934316965864674568649417015657595124",
                "175670856652665090131925410634239057600",
                "204255415573506179302197269864839285061",
                "276968948975339426000948267474307501417",
                "205559524595864869753636799910049139044",
                "103364374804908887658501186278821303546",
                "216925863235896583650809506744232079764",
                "336072593837660970859916252092746265165",
                "60198814558653420330671951960011199574",
                "19475189918092969578410103157002822765",
                "172061217669906201076839340705960379366",
                "101028794827578625880124470361609219549",
                "181664619933486534962716572425375320279",
                "167473271446172290759202182314678130928",
                "312940883661625893546861612014389595497",
                "298567509370584639676637557644775473279",
                "37021179188915013525494235085115008321",
                "227344793902604302106534522627177144695",
                "2206035878102063009035840058612710181",
                "248547329682032580956355852197521391684",
                "334805433612147996623296100906994709607",
                "87205020281357768081077880821545663008",
                "271177663143847708931655517644202056478",
                "205500516709511072768465797188950695896",
                "194725325510744625818169378261835320294",
                "294029299081422961346795254069690356020",
                "233330645482849210550893217608441367512",
                "94142552366524354577861804466832488877",
                "114170017977400189700132557550890261233",
                "243405040972335229503302181671148682168",
                "318447900136322099146931960993602460880",
                "69743502424219847352933769932122843392",
                "105104541870882731277302756844543704579",
                "166627524050494200295742153837177085763",
                "3069673329238377380588464689891049612",
                "332661589841668565700350552380111404040",
                "77288943298517500337129633195987913612",
                "175861498581962233645478318725547414758",
                "27077456765286525686101094491900084256",
                "56763784949283204965382630487302261083",
                "143036649092852638758700299300662912515",
                "26951776533406339988360280750739518083",
                "193017763480142649048147131863929544429",
                "219438140645601231504708016720945115568",
                "43837741016912444547682580212362252286",
                "94769733564378381911383656812777388350",
                "143297954185092341104808822505264613062",
                "18152498255411088423254900597067430136",
                "87831953351652623002163492227561489703",
                "84929069001602151426607619565889217645",
                "307345403570643616826950724173251926097",
                "221262536885571318318345220750394131852",
                "292607237023121450371932215268035733828",
                "13489498449321912543467287110994448265",
                "297031304632519749506357030678819026978",
                "164752796556385860274175526207131260857",
                "291311864800226198611313884796305819503",
                "324712857297744829440673423100847991798",
                "194722149563792028701585014829601969940",
                "30409151591585883076447858501615025012",
                "295451378169265316178608468921886424434",
                "156273825640133203667827599371919982001",
                "86164187301984583619729504260988605350",
                "70084662167445937149063010380341476237",
                "320263432118549634498186303691505114785",
                "246876525833322012234199235531685046956",
                "218765289956415227497360886485540726676",
                "25787242279108385720170794452322518080",
                "194404615835338368370464883029327756072",
                "154376715255093882811179719675922967296",
                "287861431179049994131384369152106148558",
                "88276200191687403862618289694382305235",
                "279191568701375564246003456083465951555",
                "211636570821734588357094037706319374049",
                "115554027487592539805540338784131831130",
                "28537768434074684460474773467241215614",
                "309822994915379429624081603395120139615",
                "247110217443498806274287106984031408164",
                "210989591994425840257235139704863573274",
                "242487001614344725571179118347322217261",
                "299993063359806959944138472183432720102",
                "151998177516345736789316552362701574712",
                "178577904051422920388765211931982267662",
                "12250374890427897416780319243097830915",
                "94592997587118759821592303332990643942",
                "207279234076343433770279088236039627594",
                "311861653440331523783592108671136772081",
                "14606638431836583177718240902057240839",
                "31308385003956173112429654818510868227",
                "128838286054827687568368171194438922542",
                "248830695335413891115849046476891101844",
                "210109197274517253719125736271904247931",
                "255748866774344764393208180709618694345",
                "152925731540342307585248196451852382802",
                "124902490981729128350464009584451411710",
                "338430556057440538262534280518317800367",
                "19162420624875060044543231835827147360",
                "197356296575959373187655441490966608913",
                "310484460355963179109037015368562912889",
                "93968423995330541579976642302943821660",
                "63226305655421556386390782875050442951",
                "278780190802794158339161655912710708724",
                "133559566539900935923982076804543905186",
                "6664508193543797437588685801308958408",
                "201449956496791044235351735530080126346",
                "224870839157257175071216884447079502551",
                "142472776236828876973735312148249500530",
                "304984420542058622620308743267037261048",
                "13063183960863966327516488343505458171",
                "296402004270069296487847082729558070770",
                "61343665843047353902002297513562297923",
                "334492169798858829449793911442305279284",
                "119947208753420880324071618669695177086",
                "92725407213754907464156042621238079080",
                "269070769131017744268722015950606564887",
                "67357881901547638932144486876534352219",
                "166778798725753914636797964225665288250",
                "26846668450541901834267228979396590743",
                "171752816724426714061401191751358606324",
                "283260070627133779484653334803969166542",
                "327167637781122737241018482688361182508",
                "4058828185264087125252182943590995041",
                "36010093179326651390818443887514094292",
                "262239699338744388416947188711903209874",
                "237140449295760844749782941254172376593",
                "17862295424362242108896895714770480982",
                "51958497653283594024405632421788397380",
                "223112093077193494841085746402235987473",
                "239311446592953613906326857879621274486",
                "33048280062888354215397711209656575680",
                "137660448349701608254152225550629228537",
                "1632620481189340381399467184240944619",
                "49367166591885864375061154692992680586",
                "178669921659455238903721573273548184189",
                "14123179981041570810031983830227166231",
                "128530683367692057089381984685350316106",
                "338449348457249943693226955839771853488",
                "296083030274780894245285680905041545841",
                "275820359592792909585354905458844391116",
                "331739379852353879855358483081522151939",
                "257873727579779291438169528769763007133",
                "46653134903257135641938025761906823767",
                "55437296177897837444193112824239724214",
                "165849624198015601246870166484558514466",
                "129203273994649822737963440645254036329",
                "216439991512857117839421242052353431412",
                "303275448640768147336632788432460410638",
                "241422655065425852297003926299873845740",
                "338216707485408291935108432790999742407",
                "239424644764009240522524418112715996821",
                "244123184327171928033827937283728702303",
                "81304860397083105001276600155457792414",
                "153861626346633465394627825321984173118",
                "139882506615779999049846125147076797862",
                "326403130403841964231911946455192800503",
                "324946485171897686615215601047453852342",
                "82005606928401239987420430461840573298",
                "153360766674494021479408592189230258845",
                "33184275528893581752485406954273110240",
                "58575048903907383614695776227446275162",
                "123482761987094471290313185971096304789",
                "328742858627372228441300553408322302500",
                "325470217368899153200558251557959866311",
                "288579508524109761972084500445635713132",
                "197854329222990251436526218272823974719",
                "71626561622765758776163553167857828464",
                "322279932616751154391924242636324496004",
                "331597106361658589032330837096999322847",
                "577265869563421236041286000230982151",
                "13352658297136418382152460009346425845",
                "153206632418850971309585451556560515112",
                "147826921599733808757793108045548130381",
                "171437677011162472862068950088617544715",
                "258876089894248718336595840909974114581",
                "7492357415711434445628860991802742156",
                "56801395196400420858181307468686930248",
                "232568315651496428741944789870463962941",
                "196010836402549414405576010674157838903",
                "204577814887396386519765649306314385705",
                "54757245670511328699150409942460277135",
                "239935428170947761336208370799117830301",
                "226759152010092194063773357924557033920",
                "128222476402505727067951672902267777735",
                "222511344746368050803067375558480784154",
                "174216726244210146113602044117005811855",
                "58836585294126343463827152995726170712",
                "156608398159356204406231371928922617258",
                "170557431342451822794242314810361941815",
                "230498756099738376471565693167493678820",
                "266084962652904781761435921712070771312",
                "153857331674790808908387158757439194913",
                "308650028643269510603790370485476894471",
                "304047118103548913103778661958844160028",
                "104997831192518773693751460084807541139",
                "239811343946137896789130637622224161906",
                "278199135379917454158279894270415884097",
                "4580879109211571723800370788195993815",
                "39462472474333096459765629721987232131",
                "328595244396467793993770190159608021272",
                "154447022357257871765292219915730159282",
                "8090422368369646235857169625169911428",
                "102718809998123032037498276865510833849",
                "97405868148708493781183858330801100323",
                "322287486450687994875645673846831206082",
                "180329390979332888120144461452479878544",
                "164284556600535608970064962600453103147",
                "15825183251970402047236309312583204871",
                "23744105465095408017620420505970903042",
                "106861560334424504981935244391282188462",
                "310396580834601472768416475490529490130",
                "194031908771271835885778331508172246460",
                "283761302410841106953587394468461896131",
                "46933654706382868215691173509091872639",
                "214193239594213091773650861768023460475",
                "171683761761945492804311953898664807961",
                "82049153585957700845237938449657198731",
                "190358246913682067710105394116575445721",
                "30833800235085388783423578642441064363",
                "226508984699124660337148788469541617490",
                "317077842893184707559767513812384056850",
                "35971430715321786655100146925585547024",
                "95615188518765668340804024454908563217",
                "32660395379752794555767882233794249040",
                "55626259544862891620845269991392094766",
                "79878392464469341091641070966729665685",
                "176792464903809417413860051712109945303",
                "149717443639206891030422086062251429996",
                "205703452444251531219751829555038917831",
                "87391008705202741202747153483658762616",
                "257298958462848153571061216413035799647",
                "26864557034084634175299203561163864723",
                "323016007536069970665733867182964145095",
                "255633346416638441119676567608423179849",
                "273705318962584539662625615349274543107",
                "118807103298761918436936311018638744195",
                "153547813074723179382708271376625624110",
                "96715884323351517054698415298017619876",
                "283684479476591413986128282568063341139",
                "213964982451928322781741124300367677301",
                "36274856808995709100072063589073991595",
                "85733572470650850831804994980571972851",
                "57504045457291920547255518124865068036",
                "263177197793747875959372115608268700182",
                "194819132871579617946214062922226260268",
                "82100888030685485055581215972824960654",
                "212217882801091873984635234817693869356",
                "135178578580981359365007729275329326273",
                "274667537794808517121714633425468185106",
                "143245528049576918719028230305057180150",
                "121329538151389364738335271007319075144",
                "132867799724122981124115996178686338542",
                "140712373456771959383236215036503947237",
                "122871808900934502120804112611847588222",
                "113846764020991191470057307408366147546",
                "97517954810588738554052152761700437784",
                "4631103188736774140461303216105088333",
                "50094046810271962487549783501490934770",
                "106480750322632839070866314843184813088",
                "53490751954392554024214794041412923905",
                "320243208348788804408019060084341810672",
                "7560101463999751055110548541994250998",
                "290637153266057515166755049969588269010",
                "110477295624162685533223794544667225057",
                "151597925000480951464605971361168620379",
                "189136175432351453171395263022836848577",
                "38990942507342018387118478107176058189",
                "286227729893352786206664421625184300050",
                "167218359879376901196940937285075085116",
                "330330346961880193432524005121409489879",
                "294261777053883587864914397508127726455",
                "108450011031714090867907634420413464102",
                "233512965606871166098549523611310627431",
                "338746508407183951258069212538490387929",
                "19420537482849385281424211659355586910",
                "137072972870455789886960463870929101106",
                "22063804646474712451438409238004256570",
                "60001909401985427735547595258060120203",
                "326658281502178933842473391820515240153",
                "263759766675227803972045244961758589971",
                "2261222482211185210479304902245752602",
                "6452050265048892563534313463820651713",
                "77422985319517315035992115842224455563",
                "232438752561658044220455084676813350317",
                "170092642971875212711034053949352090913",
                "103691224085055775886224909603225090852",
                "225064469149909469740213417560781051821",
                "158197085813294301299918945054936000520",
                "85380994556002893295410443763349825394",
                "298410914169726593293559816728112348351",
                "312615167868871517736838161027125245694",
                "168957037636874296785246266943787948034",
                "125331625198671641759397631997036703330",
                "235550892963161402061155411190485467844",
                "253487128010679574218060121211672320201",
                "313168893511654383533031526330288237525",
                "15136283811895252431395088158116648923",
                "99227060040386502029702030715471439145",
                "307875692891257236997605836310921437469",
                "66662524207558647645514519813801789225",
                "10385007022177285176720314626682564544",
                "106876838989219543890293929662242802565",
                "31642316439580117085496400635219814821",
                "206738892297662534812678408860658002993",
                "323864152294673799887987526134959469466",
                "158765047765505893002678748799084156183",
                "325649165509932162196986701990798954513",
                "246526029054336662337538241993286930239",
                "330505863553423126783251696040714128921",
                "237951529574505253129928238199393705567",
                "16822660955331323012334821406227285190",
                "200211347956812381620413026068890617480",
                "302077069430079265403319450386629406082",
                "113027492394364768901926436544251921000",
                "244680516357921655277941956781273598371",
                "120374972465866946612946528167189508782",
                "47049074960267661521563458605682757825",
                "129582035611378832154790776769607206559",
                "49953928465989856892594169033936590131",
                "92065657496214976332836594522054400731",
                "24222999470328247037089978076581797414",
                "210978744604253797306738282995617607436",
                "7377006787570081275411579848388851923",
                "238580950528327560277050835281952277309",
                "329058749742581211556633057229775981701",
                "319619769790581087482981503779228773055",
                "120338274673704603107729090102589003963",
                "46619550087372134571661606340725973069",
                "286865831405155167104043114904506763343",
                "87438497686422950728970869943636889232",
                "259092969202603612153472087974626940704",
                "105570075676159430533093763050622225894",
                "138990757531834111429092492552539128345",
                "210027029736621257935763948124260744104",
                "51856056782015073326115546875483498087",
                "156592244535304353420107972806475762233",
                "320106857204299275400761521187324007991",
                "163992019124972541616968717450577819139",
                "187941452822351490807502778257463802611",
                "56154333438494802272843471733960850362",
                "14198208330732014097281208003554973882",
                "244482897085613584132575704747461376777",
                "60943694052522471495283701565257908067",
                "201338992800281183193952253671552363762",
                "235190816060179217044961604382239955683",
                "268412016938667863459019241438207665132",
                "276657646636764315400820258161896831681",
                "248399763356399899769128506815122793738",
                "315263598061606562723938361781413122775",
                "171387715230916591732320446857626374869",
                "60751042927041916767180135511997264939",
                "121579658521227132587676645967787506909",
                "126937251731672007868105480232812419058",
                "98210517097105069908133108018536860231",
                "237186071166896525036041350295242845933",
                "270807287037904239133608094611678243955",
                "188140124736566148570006196704637387043",
                "313256632263799345120020529352476679071",
                "95496047991115613049619798219105678536",
                "241140248847400418918054230491022051228",
                "84579669060526545860051050691061322021",
                "10624309091131715000956958133619444729",
                "161367589164300575036945369215291634093",
                "248858469257894416472399932635201302708",
                "206186514710282278923949042917975368089",
                "119819317357615580771142701590674871164",
                "131850033812251731270938278308497022410",
                "34010339050268002106844748940388028100",
                "12985627601826079666008641475080892394",
                "14366000559713277889409189967584456865",
                "303577055737268115538036088258715856275",
                "84928668040825504704806032939470402267",
                "260560885677719232555049461923600308832",
                "254583427283299274227869846609166505646",
                "189989168313475960148459897051701049352",
                "17599723233647512412406092071550436921",
                "259987496327556238650614313146818832659",
                "288892945163810508381312628408312614269",
                "301646975245978619481717235602617491810",
                "67547521135706529947051840106366332967",
                "231384058500973480890743896573492316832",
                "175868481383869950068522535635271658386",
                "336865475065262749022550686418934527064",
                "258439073104130822365947553138482069497",
                "232068648750126151778915356435437005766",
                "241923254074078292098453027516708242413",
                "54232833425755918827355406431483250353",
                "148103119904644509404389348491225977971",
                "15143166664481833161483009800534437280",
                "254916839100565337788668785532166406046",
                "233924026147697652343708854258413742938",
                "134388500578409770409658953458510931664",
                "209766416905238431470280266706190095885",
                "273805120695711646234340093530010287059",
                "106206383735730547004355530043509924389",
                "166233035015530964898371826768636865909",
                "187783985356331134467884731102719561083",
                "48531802873841097316855991574715570841",
                "256034572348407455787878670596741728696",
                "147251660051874119970967318570272029679",
                "243386759368192631765927887829877591157",
                "18129754265919054766555280612939322116",
                "217056606980512914386828851492401470142",
                "15995386606325345419762077188898792513",
                "167791893169664043916337470384926095616",
                "339425325414095140880394663083942026454",
                "58749347043580329889943585562480515546",
                "268400580306170025193682000637131092366",
                "107099664797754686304900064492832123925",
                "209035574569196867566548021209700297210",
                "179185290967500498455555103242376615939",
                "168402991633347382827942538393971999605",
                "126258141151773520983004336379904033153",
                "319271433734358747998582435291204497273",
                "105401158566192052493911599552408563257",
                "284479697693260393525619406158506906843",
                "1120580339687866569979874713831427053",
                "236046748135845934373326002722274912470",
                "109373039393778587824193947530264648058",
                "23065447224860282342363069148626355667",
                "278000430082420601043648827633445588734",
                "153389649923791678462462306097227321580",
                "45613435400859988023501053054229538382",
                "192805016495883474644782275637596298260",
                "21749349021061625768668603432627856203",
                "299236586786112146302879653857621618740",
                "150059038831967012173954968154312431999",
                "291759826490687746479031695928539901597",
                "121190760124663865440570130576255065351",
                "87970094498148057203998294437345530583",
                "148710870900480736586538551381947997921",
                "230533538134967650404364254930660704019",
                "289360706968681833473904447883038816756",
                "35012694041185947487813283598759348138",
                "323465740072891662321493047181256351821",
                "176564042276152504459892478285691815323",
                "80454629788664669925141428968137577052",
                "323997447877673345672846539448930704054",
                "77761246062719302353803220525606248415",
                "1511408319049668131701433056849821802",
                "276941976327913272159623087501888991008",
                "246602529603472633952950338129873004099",
                "301801399918576894750548720912447829898",
                "285835531202731901505733851377495461190",
                "236480066159514527092833050967995065278",
                "328653742939542753508366707199533940436",
                "138680010086926992190809669984520878629",
                "154745250628559905156376173070329523019",
                "286296454050651955285813636742386093424",
                "193675215471578863092087147985703194533",
                "75086912717132654597402702035308995324",
                "320955851189841233204661335300184268344",
                "75114682163001688826723139944724029478",
                "183427084484529763796568555118914736051",
                "117579189550870863617113158118135064131",
                "54489809781416654661871014259670404955",
                "135646339471891174281617750134555282241",
                "38611443207052487496268134417939734743",
                "231087411379654441020405068064226039268",
                "240128493732065244158861966906813358888",
                "48485838884918696359328674732172917740",
                "86653587593631065193667116733313440359",
                "296559620672791678666219122794190429812",
                "148541972335493049129701176619622701484",
                "227923966502509092518624627139186191235",
                "124953976373236604660920352786723051697",
                "111498701497367570819545642098118870331",
                "248441093800711987432731895618709137238",
                "13542573683515014805164367453617390882",
                "129306881369844474201287140600420236040",
                "73468552205896154868603267153017911179",
                "168326086380126550440520189926625538705",
                "91534596701948939571901599309930758816",
                "29745984708728713475794412507654649051",
                "339980882500795162466876971691290084046",
                "257585961862656275381673939374235103216",
                "122519196316075595391103901869899917432",
                "45966072395090255179646001484373797720",
                "120344534404598337601954050440849720265",
                "217693705846958023340439400436902530934",
                "62613351800869532010194523285572211179",
                "92904505750160402603765442293958903080",
                "126087679134056469338466898021092934024",
                "56728473588164609940959768871840060955",
                "169900106346359942460829729550165242451",
                "141369382876271121472496847177176023761",
                "93943519061516542698922585846314721619",
                "25982159100028256762349932542280940715",
                "311263532847174389947005972904041123176",
                "249927329529776234227101910530061502343",
                "329469057851800602926053468557941738102",
                "74891985036216438451449462237611953967",
                "281576835802367436023563968023556277070",
                "44602780917671842493442765188948441052",
                "22973577770782260381830173629997381157",
                "213794070785107940262321926931338123019",
                "170731929085479660700725142943614980413",
                "136328119255097517857898089537421582965",
                "67810118813640185174949127991069092577",
                "262706482451613552646249327974578926163",
                "1643021643356236897259289994802815787",
                "217297840426706241255874828282334971469",
                "180157345987911681407343103678304617305",
                "267843287910195863318776752700763948049",
                "530990207418201055430343293948345788",
                "216666218684379417051666772026292495829",
                "91057683958529937539285520372651741261",
                "63467263712900395073875484351192991257",
                "196624701070870380828606723680154960413",
                "179482525953124819603475016720037547255",
                "170125779168203423468598469677667883486",
                "74648100442900789100773404436058496995",
                "288965490716365549217561033263900037523",
                "258439972427467753767984475187109597183",
                "245565652513325501027756494041490995627",
                "280124134900282323468259847200126381672",
                "233515113796049853424092437456396877958",
                "115050457255579342264751430755132531162",
                "309573427173184835966064994284893075176",
                "22261699792756268816810473156513300387",
                "304668777461197516469849305528328909923",
                "251773546933861643419573877804309465749",
                "237138753939648358660850861676565215674",
                "132783523956186597751449386362629085415",
                "66352553266753766433124340885444013081",
                "198049379773969358663461086098441451124",
                "175635316753761974564063461310597097617",
                "179878500207749276501348918833603747670",
                "16813350800920201380675333637533567504",
                "118106612161213259075728221212800752710",
                "8251061472016578748523348322673906880",
                "72493458762802798123319558555855046083",
                "322762913809184236137281215583992265036",
                "248903979166213553187909509700991543547",
                "304771081892905077729857752125550736872",
                "241492504781471508155879014710994500596",
                "90339409004300834723224370403392681453",
                "338063247968723006589895158946639203156",
                "296935799883294824651690943701058559525",
                "146033968668936544042990933516948343330",
                "137978736059029196886291622795364524340",
                "50602510616178957488562550145061490700",
                "65055248871097946552113013180500264539",
                "129881982277937054503758529629935903612",
                "87828325417364860465197571361112102628",
                "138114930149384540889501602328941535970",
                "291518115552131316769012766849244487639",
                "266353522872122961030239690941376661058",
                "163876394977989537922222937741336085995",
                "282297399127659065033624806467701104513",
                "337175559337987774195363199341249326932",
                "11627318244800968737512902509985270131",
                "247634637234049516321839808143435484191",
                "216809342197250277779657585786404872429",
                "249591261438391938454436195898761426432",
                "297769440457644608732978376514568454465",
                "92065224789604390743240020936473822201",
                "162565674124991872996594000512662841604",
                "294778875858221446620150735863313880177",
                "6799141664882836326814771308353610737",
                "211363160113678315265187778920505489356",
                "324294660131905728401080226409886810979",
                "334727785702516887162034402321057399088",
                "76320301033911017465732291324330488324",
                "307621069761811795479586410827104295980",
                "49598712810351945108189425363743460943",
                "305007412977763747128344386915041376080",
                "51621519200053659156990294340878626060",
                "155990653323931755393281995377960395432",
                "304324854644478588116058694905914776544",
                "125518944086778959045030042312190235187",
                "237153338291180188308156483893584997029",
                "42666862108537426064085170556586080094",
                "167280376200512606743237886890876754079",
                "278259322488847344028862008977933226104",
                "139929159766320205848290722317326856891",
                "188931581327294160020671570156502929586",
                "40460486203709073836143939644437485032",
                "327129211668895151942263399948762469936",
                "56985129100597069343065713038326933602",
                "76386258671550770530277809862287239813",
                "176748221292428508099669539914494947884",
                "62646794235816164541025752652925937421",
                "213987611419665705530007725166075249513",
                "137714390735123214281781550516411227854",
                "250150632164398224697583931604133458259",
                "66041007241131810957979589190798029441",
                "279243855131035011354721189094783137057",
                "55401252997999075448959621060117890795",
                "176632175494894654809863735362665607028",
                "316737614890772440229996569744375723656",
                "226695774616292911683891129780312814245",
                "323111322964679939574882796495376128798",
                "147833616673438475815436851118642192552",
                "276874885737428438043962919432800270216",
                "291606561897262564213458565522947737372",
                "325718479159018477007334606406343169461",
                "299930640390767178043334402053860371503",
                "251833399265078207447968065446078267227",
                "96626654999674124332837251688620805275",
                "62501767821696323584377741928550745455",
                "305660971950108229990275073819510471449",
                "260535142376451813367315117015357296108",
                "71379095438794735690998828924697653267",
                "97395277348107072245566378363184200387",
                "42581821374240501582486538200558124694",
                "278765147972406048150182465546174134756",
                "319405921699437568953079946035156664408",
                "318308267440795761530012405715310100271",
                "28676742662830992001573113811842088800",
                "303626972432688424728587686801349090545",
                "252260966806485978103036833517077628263",
                "258348917209833343821613433486232279835",
                "81281932841316571899417460403538180921",
                "109758946110163210827847056260977289553",
                "310986060754678886627125989737763839224",
                "95344222669128462858810325959710196809",
                "104389645240772457542797148980523087047",
                "107055078892390106944968223208106047580",
                "217439992012841935995727427636891461866",
                "214236316944925747335082950601331105985",
                "262341061257884609054301904912968573136",
                "23640833871426335139319061721740170650",
                "267834326510039211899787687971508991617",
                "32372231105919218493789022378080959684",
                "1644512401835079127711589671528065790",
                "88492638536301216287467730483945064649",
                "156974362979249059823736963117306468230",
                "228075562799442107510690888323569340589",
                "73787732312033345892766326404261914383",
                "102699867344372427514390889129327679409",
                "296746677097882110542683475094879093043",
                "96201240284248465816657480767366077043",
                "38272093902849204304303300049252782632",
                "173741237383974593034427403513676182629",
                "84677927381036260460715653000763024616",
                "329659874763656085797028173696126853279",
                "21155311953223763813304592019211988081",
                "66030883370339124192388470410181888766",
                "136742317066946510934083640286497674431",
                "180056852949753344490375483949986302960",
                "323735093086146173824471121809608286352",
                "234841051261765286907627999778899639149",
                "230505565796288647705015345365521460196",
                "27618580467556483436726297940871435158",
                "329547424112328625892819616050547297511",
                "91979487894458021762789527841208479531",
                "17722425990601117416779778399637580024",
                "271123018588792246231825123164349934156",
                "154215767046522802628301836473119166313",
                "71493231047800081720434972335239980005",
                "129594731251159878774021422590755840660",
                "106875152396247036673468756593844633236",
                "203646818212097017617619280621027166382",
                "35884703784539949333371446259815186159",
                "212894809849680131843636310935436832763",
                "266241837175172384587208584255746464498",
                "144660073931931518517756700394204024455",
                "184472872319195523706422778407332466233",
                "74936497821183764627134765844176405386",
                "3359081145157508602273941959678189401",
                "68283733775051335567386766771928798790",
                "257195438886968145655700094211703239370",
                "145747058855028137506374172118432023315",
                "272974324247161897828212833748810354822",
                "7977634215171666563201223692893620845",
                "239151825861513534707567381042797383236",
                "94881281836707465721278917902430172761",
                "106570953622612169952390003208986965121",
                "205402318185393963792366118606111198076",
                "165656881542852388125077790928992039259",
                "266853602511311623523981033060986433380",
                "257659711000197741843519405718053297026",
                "260148908308626518685759643592832891084",
                "226581301053224703935555801130731891228",
                "23475394136914835965995666931715567913",
                "172484858700202086748870684141295271050",
                "112647132914267267696371580482445154577",
                "131288353552794877221538435845877248434",
                "36599190974648901930220244938752640769",
                "204490472699187442798163141967064092867",
                "172880055237503802756004612205885546461",
                "203645884357357473218432460472912620170",
                "331376180858704042883372143687853050311",
                "319889525578995368894825880362193551095",
                "33193831781430803070140344311395283849",
                "285520881851210271089426303067779985001",
                "9085742100353255000244649876614197211",
                "336699854997710314733552776450327327784",
                "87356817791914365847516529630776817256",
                "191460887808701095803663116811241271331",
                "41938985766656391030004926963085433479",
                "8244489634393619400031735982327097959",
                "197451052806644191677170696080883893148",
                "194375870302164089801703596217369539887",
                "53691041788832448467438416460045669378",
                "153584124471912186818858161218962829826",
                "267168187993903170326097621312877803004",
                "141860843844712186402791961078623988674",
                "30101210015275513286077791465250578791",
                "186119286425457936586268457182200752840",
                "257000514757732374971168087485732769793",
                "3617092273380104492534702898462812057",
                "160197995399020465045714186804726092291",
                "334690923187184323058091229414727893690",
                "226145103513473366500624120399893490428",
                "26323649397164343431030024990373963958",
                "180503263864258221038886225052674775184",
                "217302533182544163595144794652313309797",
                "299427102587256474669514782325683978641",
                "301911301171353463967200335032424041039",
                "130250375966738949140359438590689523751",
                "205355287917004849148631415730710849224",
                "186802116357676502410675528111750174422",
                "25972056212662243192654316322427396042",
                "51876646446862358054986006448995309181",
                "127751044711291955683423658877033517204",
                "261419107727642722754558143574141782319",
                "154064711021194618000666067078384105597",
                "84322099326753022840693021906087758965",
                "259589096616535326132901716042943625711",
                "309637734358441279055940639936780467539",
                "139470072124494859600826759940330796536",
                "105802115505264547027671881603429088205",
                "80571177387124149613633778091919515552",
                "266915990877371718122069611031189345129",
                "144252542912682288861949397345974750597",
                "330854569747011379000870275354842039008",
                "151355745994433533583340876462485768447",
                "89793968262536837264010728032570060160",
                "260209365739582058539109573563760558678",
                "7221582422643636463452721702618527635",
                "129762221669260845043285955894462437273",
                "149688041137020852829336234843387686663",
                "104507854179442871653442222886779215099",
                "172304851483915714359053025120874352181",
                "27946303780112985872746314388860346989",
                "67459338992131147027222105139771810983",
                "107570209336117863593212715322063402318",
                "328790575539632878770145875843615647751",
                "311889029021731313852992082208620996083",
                "283464813782789993135758614781244379572",
                "299930767828282769720481918463231828644",
                "280507773945693905788749225458245867721",
                "36949238153211818110050556181430429074",
                "277772822603660596819017099183362489413",
                "18855785170292010268463543366810547900",
                "248287904315162562936223698913356211003",
                "281435002404172122009682606505655501990",
                "27527267412608764490199459209347965704",
                "199897967929518173264628906026615641245",
                "176558125975651114936904044491955806449",
                "138787242561932200140333209571378380543",
                "54907363768839344752212391806077185544",
                "100068701345341870233782830030154375178",
                "165788177849720017566623159137949530905",
                "47966936926394591270228580626797250571",
                "144315764043886401378254567045892030931",
                "66746998672064694093265274527586875611",
                "271298230006868469081345600944992300318",
                "26036710169965941661094179720274168168",
                "272359381326869486291736141011109827048",
                "132944337046879095652718223740446422865",
                "258733958911310685029935657573645773881",
                "310300330522443057307652308435468906783",
                "116570258441450049501746767725083461200",
                "311161273480277046663668759706393322992",
                "190979506629964720572000747483842442331",
                "309532378855005042470442146843062504327",
                "7547990796079802956915945432602432906",
                "21432913718956376134517435324586571408",
                "174905693871041803321630686175447646675",
                "134534695061327852969467337493949100650",
                "218600070830372638434828056330866117028",
                "256764061711267887032080761235544303237",
                "259296822060236662250211336969113698856",
                "119935517678851223643204778524990995312",
                "211776970992712106980133197500018064989",
                "250525259775539722026103476287459115420",
                "122835796643646376644556717849852105984",
                "244600360850793619037718054857682333743",
                "66643617017037845757221141872800113028",
                "125088282078447621458203837851103923799",
                "249876131915250634289883166606385762862",
                "314904033765748209139496744843761123897",
                "75358788124957958327265963487757983469",
                "277741254944516870958348553140086476857",
                "4099659282764333575256902310485583449",
                "334600144150640639630654805576051272993",
                "104502524819579076141075851421061203173",
                "110055012705181829402043042254432111224",
                "157644754638045780011893732234802884409",
                "183462771234937746621017896870261678508",
                "87030013683861608515967135330857855922",
                "80199978519916502860962997197048973329",
                "277306689402003409834937383597239817799",
                "229474135977513992014208345224490696746",
                "18556943545205147846003859158877605988",
                "63022083399312624314819729227410807505",
                "258602469565416010631703535668776424297",
                "225366637897031025317096791819944346134",
                "157879331024653715913111380010046824093",
                "131283316671199482660870972995064288800",
                "61166256268053633200339765249807858840",
                "289574946459730036680224686382490766448",
                "167182766049495134837525960445870070064",
                "96329339578005969824928131497115901136",
                "195396789697369937732711527801633647435",
                "8018048677293434516691327523642715336",
                "245259762623591980551719156283693254658",
                "321332074672228483291887192886826291074",
                "178841816323785282588836338053934933595",
                "8569487632749666906078625951169917086",
                "272240773464673746279795228132260562763",
                "214957665857398370785733233221309402650",
                "207101424271393007585510476844954166497",
                "42160666941824243562509688158776260704",
                "116019153273790237023551636321342340660",
                "22728753269436886219705607380204056745",
                "206048073053088298632088029811424184734",
                "154752392127514500901108840974097223148",
                "275701768520621023345947393979779580429",
                "281142973157329009788506780487332444982",
                "18485965750934107339867739151206344963",
                "95885362591403530654704253912938794305",
                "35899144688274896026466913862470794970",
                "105621699640625298311734046623708919550",
                "89703612749063027289812643857150922493",
                "51194020640992540871441462999800728501",
                "318127090681873218733770062613442278921",
                "107680932152010771444426779239288532296",
                "37060429621306139360847780573347621433",
                "199320190449862225609723874244098718858",
                "156599194938965931644801974385387388406",
                "188363681180555244610438583791178011519",
                "9432910152122677709398187454073583489",
                "240298037056094830656443097711717055284",
                "284997847734650977710070031417366155013",
                "320139051778410299081430985228834772575",
                "39263064815511826991944339139512987812",
                "234604056689404395214711804283535575908",
                "118521063447541004094586970627651906008",
                "276911459105101767221620596161801867535",
                "311108621476074949854452240921108548358",
                "10713922592830828112890574816377686236",
                "126956466318677386176615928350288614452",
                "35064609429626982960581032656037072371",
                "15739928444604194419210012932763952152",
                "252355603617804411974713714288253553918",
                "91354535693913171816192035839472271266",
                "131829052733004904962545022908008260743",
                "170121743407329161668194212038420370962",
                "242384098147755598779929783337654163344",
                "186021120604164220861665644389264103090",
                "94753949088334976618506405008373807187",
                "36138528783595558119197897669012704367",
                "216032778230878261239877077659865704344",
                "155485704615131914804079509034352253965",
                "230889972040041073088884209581327248297",
                "263754604736796832948652832448838033635",
                "289491984046639040260338663606931705102",
                "306539022464895382640997696619428020049",
                "223439821241749902910275232519128459946",
                "188945765330777868920992917715198271620",
                "76072200919557240245960664057087865942",
                "240611187482426026358426763786785701664",
                "297332156030695949742117007364312530443",
                "105053253724076584520694002260045659421",
                "164924990323601151547791848200794882783",
                "1963179266838319619392581213989187380",
                "133979151914387088981925208248452499324",
                "213709990094764939626043674135342502199",
                "92070943889943640748100703406422331910",
                "60308586338768673545322533338866357839",
                "281292639086172190882915965986208296456",
                "232380139670153830109491679635124079652",
                "98378746477610742248165183249357234132",
                "179813326077800586730105141136625460292",
                "101466108005634102173446860903974695578",
                "171665225292426789271039847959114740954",
                "334969047522264881518250589572055275174",
                "47629914418193448914485157375443484860",
                "220982907864181814745760474899823873850",
                "301367694827136259387968734053096037747",
                "100009596695111642481027604411134843691",
                "297261909654829109211633507930358601919",
                "174490933281237829948860719314279060556",
                "44826498857890364912884695281678816702",
                "278039224727038719258719118141251964910",
                "90335581305134669707463247334881914332",
                "320519727906392158121756663024452820555",
                "146862952472050964636771775878616959619",
                "276375071340583512046262862499783181274",
                "180149779908863835530074928498318000524",
                "169480828597237782125224867057749275056",
                "232837768475281579959459202400476752476",
                "125013648861340373925653827814136703007",
                "320086647219983543491084851617214835260",
                "328498609519392795793898849360980419530",
                "335959248731998873205234583983442381873",
                "334586637540238404952234838193088854418",
                "178173165449842706072589547233147334365",
                "60257816865541536829358061389422205768",
                "128161910082246491666328433322120314187",
                "163296767339743953393664703706509199559",
                "173050086662921866703172174063448029698",
                "248500658882599758758939763751867076334",
                "6285209995365530359831532774979543338",
                "174409664214953523784624359011852720027",
                "181572293840392127799699819409368189374",
                "216103955648389257785865872893855999216",
                "230611870992186053503161211287924956967",
                "171063698195976072884506993374520384678",
                "157550403587202819164670743765806194604",
                "301816696596145697147310573286511229307",
                "303759157739457364212980623504197941267",
                "219900909379196843520868561501139391426",
                "332147906941107338718902564098004660179",
                "251382684784366222205724395194882712140",
                "20193830924710817883095379704710581482",
                "213806688429992801369575606536951750513",
                "6201127714580424317535689094794551291",
                "188066356767472483146248647064868181520",
                "25696913055112574981214121467955839441",
                "108593266643577325376653719076213875991",
                "255242580253981629766323859895213997319",
                "144441789134732295925427471150711613178",
                "298846063685700896495385029785878669677",
                "226376340000129074979170032933499473620",
                "4951751325613390008353497122104533230",
                "171639371467605787010243782207032710639",
                "140872875562787055464746771304550103944",
                "327024476219520067369511926298445517044",
                "125275273463627636596739900865862363007",
                "33862728124607187742011132505466595747",
                "309757413778907540373570483502022381472",
                "336531634196872637028316595095973117079",
                "63445789877676456823070424286871530579",
                "56524319564318787598908763015758204454",
                "224934549740779372636278934740385871699",
                "321851267187624988946784452262466753744",
                "36904335939800150697561621494138162777",
                "49408841699240558816716080043693056460",
                "103558106189908921883779255884235014119",
                "209504275062573540113156951497533466227",
                "330272434104947823213394878228816830429",
                "129010028402109919148880345476089539409",
                "219447768397489215966722140463200022195",
                "104751222985707941648239234601355662792",
                "281660211588419839992417017008141369153",
                "270520800798306817140977990981681829828",
                "304788139037188832067171284157848583405",
                "58310210248302838574855426572858279369",
                "120338571661411463373923994279545469127",
                "65523491071194756768078201269350016711",
                "310825894507592515016590974353246129261",
                "325124818790675985708684820162042211051",
                "224434039054807911560679253275556360992",
                "10973032682533242514232794111106693799",
                "35142985940455898005596619353573526966",
                "51267925519855943870940499062826384927",
                "246263482537487410139059384525295978258",
                "102413136404300640487573330949001212932",
                "32341426877515870923899885725245958925",
                "269052682203267690918490973248713698160",
                "20088009400359636656680510065828124570",
                "92126003350214921703020046381581928112",
                "315600694041811614498776376500698407137",
                "295994430064336118041369189690180163615",
                "146451250423177335672473707665702603443",
                "320636006039217789217255001893922854689",
                "77752193774951417848517515386773921502",
                "114012092788682021149153000062280393843",
                "314749466458041096827095511206595209459",
                "34065693459714289414988793028000492091",
                "47684942973003227053447410837114453523",
                "316403204180131860804927624449871184749",
                "73574214661624715042447110947023474606",
                "178533974879640712169726023466938529348",
                "29650265648666336860673124261065630096",
                "219990416943479760879310577217283879608",
                "4391928772199157697190148845741789812",
                "239148954315298432686249518860402422789",
                "333472555780953973861353419173248359717",
                "200657979110378340142477203345629431071",
                "283983010414420063425367681106008180446",
                "140145511419217548954203545977141051441",
                "303838232764790656057833053286793152433",
                "36673771185709450046944770034337115687",
                "254935612993931932303056256000268733814",
                "261834234559054795819396232982257531914",
                "12220350339662196987872067455219714747",
                "164795899394650121745178669528046409412",
                "128467441228541272367199496424691834005",
                "160836540853112579756572554378352312794",
                "179193427282652920336957350919727934181",
                "71246909583786799731047732518439096707",
                "204102359861231289777434976930914877393",
                "212995785243695653945453901690843699582",
                "179312895293524500755877564715882432815",
                "291897539000067460039975484015402185119",
                "305531283120547809688570843091863693322",
                "53664275069955276691007115769989110027",
                "126798868716894100405964440689479634181",
                "110311861188300879293286372074199368861",
                "104441027395095710504215069549223778549",
                "129406967543520950853816636748211859089",
                "94337103640644491837593394985456375986",
                "98183299030162219457816706611672166983",
                "331908447962490001775197149696782059810",
                "319080898855625217487881168029183444960",
                "72446890705614739246498691178557495749",
                "193317006277395289964728919950148021458",
                "328344545672379099367209574593564041238",
                "128093087928258685022703643223650513893",
                "50740518621284653187025946147242040726",
                "183079061550297309414746111315148401540",
                "36649635230571816457938102601408702414",
                "197928188636910830934764253484788432926",
                "174002376309039391590922488452758682364",
                "24565403529725642700762228731975004398",
                "273428675343056729346496794273878689355",
                "273630345163710118481031184893188632577",
                "261687168870969883653468672839437275773",
                "218009514226854954541182467918525002591",
                "202505477170828225073733456525741493494",
                "57982270998787873453533218547937416452",
                "66301831226613848237102042332322971640",
                "171329032860478770237750617636806941231",
                "213766970393042157041724045859490799186",
                "108127960617520702961013382158548277140",
                "155409382313018633895737980935778014858",
                "194362493729938137632861404846031732914",
                "173622719622742845993587189875024649877",
                "31333067482908951918005336834244656072",
                "189174691783449014272121335245806989454",
                "182719501339672057591540233313138534453",
                "122585899007102960007315608515340261654",
                "174146739209132645640960870081934393144",
                "47052519846714504496849396729324771097",
                "130468081250306652246842613903178095765",
                "74797586283961813787409145752781662436",
                "97083103859510714264191066297498040804",
                "227914832133673582824262583342245076506",
                "219513280763079011797426528222939917012",
                "149111616518002765156450833624541862132",
                "41531279915569790815994290452075717015",
                "297755634810875943376238200703240009314",
                "313768335825907187399781981139990673537",
                "42689539890084960441522482714761478358",
                "327350283871562845927763860163632658251",
                "286546708062597014009740558544185396077",
                "260373067609311128269512402838732630822",
                "80469335187712920292432500542061930231",
                "326618185285700199297942275945461724832",
                "248721729170715045763191469415475385483",
                "274057683645791437497631014666458965258",
                "294559792444542952342611088906771674828",
                "63622149485489128293544940214839973325",
                "275599807359245832890221568097381823467",
                "227020387089268301138561554345034660020",
                "124643952295331146848831765420886960568",
                "262532681133234769025639161828715791592",
                "184957858048388014423911922275941084537",
                "171629330877600842134913006585307452686",
                "247139418790247961349661847836331959085",
                "167481327973099786936307056180979957792",
                "101636463046606369685556641426610495496",
                "306148070521854590298859676959217370732",
                "44909263699055877449657089633959012885",
                "44493497285716730099096407884794418069",
                "330180278356192197482945729774496383898",
                "19732757535157418932167286836669654127",
                "166006669210687103455403589129334569672",
                "283511602319537427723385500920501491908",
                "327943162495075187252130367617631582421",
                "317161661305331328273635920879619887243",
                "121022124481839657360446459759635664176",
                "16355808078120731714317909810118413484",
                "58010545531700102484950866572038014866",
                "330373484115065268394147506683471901749",
                "233267452242639245244872815973954179965",
                "54317315131238479206011430560125610523",
                "63441846387475221764279043521943880397",
                "38553482927940019702707834188653911935",
                "189517291171964947022955060336612913659",
                "191028879648990008591696066200830117405",
                "121816829561957531942420645029223509955",
                "226617371016380528258497769252325752344",
                "155207927910706107086216350437736280936",
                "147286596075052677350958769936077727214",
                "316831286435843213951197619334959519224",
                "297346402681122235507710611769936809883",
                "312090435543438502606634647476931912386",
                "255079090128778871987312741996674269287",
                "323709478787553524383370700618803733043",
                "55515913421578509038449838116909406775",
                "14929073945806708305024747830181098163",
                "86898878357669465188961335642961551737",
                "223776149906862679456417103587740009692",
                "285365646122508765762619146442992340490",
                "188993661103308615816425664184823610114",
                "90720979597244095629771018233793470759",
                "237898945038791738337848135908422336845",
                "293530400173567168229286527471897255970",
                "263528135492340359560979583843259126614",
                "208328099072552618250160542472971972989",
                "49532197125527148968360872386086992747",
                "324237263972402553658651917556866975599",
                "179727041158882331121220088980232974638",
                "197339439311491617473874906467125043950",
                "225164477833686967419060867980930746544",
                "173901085545281979938241434363745868438",
                "85584751299645979646124673176704047944",
                "212059210809175805455915831350153354262",
                "212235431037798032913520330098356861833",
                "62676319387881198865087655431896770201",
                "213741172705966982962395748130018387797",
                "131631944610045177719409068324795619238",
                "207058773296642998450454085293248149350",
                "253511766301422159697482720200266874695",
                "30000894490586116034759604600827848602",
                "241728508365828085478804017569078295607",
                "88285612029854105138930133816256351360",
                "280905397554009998515353337439662077379",
                "86323001279030930051579276702950042416",
                "87956438238966829516526241827636763709",
                "215528006245336684523769154609087264736",
                "120556940653264827607450516997685074403",
                "119373499839802403599324696148597047979",
                "185824106293736270136669222335780089582",
                "25691953607753998420839177483678363553",
                "314729858234986903689499562143265411675",
                "334734844905397006899794687886690753785",
                "61631390832820035331174875948155415219",
                "264583985947495995169420011771693699946",
                "32897441970172865699549251526341042658",
                "36432275581944008371911940710929369977",
                "338402829486932521537354527342954198703",
                "204910225087937201946420412301865144779",
                "289394359816234326558069832938454071525",
                "321428031876169600280959222073025201368",
                "43602535733116157333864443319757687095",
                "202740635685353058458406379510050398733",
                "296134986887639878513892122931830446575",
                "237686488250038634478368032940586809238",
                "190069882999925712046592649874193740619",
                "140412801148163167907212893052676212357",
                "211400475993442810924904570561896364029",
                "210371625774094905164602917321281330131",
                "223781087505633052567550769100770587754",
                "257862406495183827564553020563736540974",
                "155739558426829100428701087234774170156",
                "195539702004468609437576971467270951785",
                "91214321298136686054161097622847156594",
                "49583502921246661118160883973320690392",
                "104008126361664807804006221095328256516",
                "208158014334141644541628070425450993864",
                "332678074729132669387601573642371697919",
                "46868871283317811064175392374187650485",
                "59466439486826929864426980669042075754",
                "109320980699849112603558438801316948745",
                "103662626612675431080237027176494827454",
                "206934006611432094953641284699072698504",
                "199059440930681138717143296197840917596",
                "53104734884096451398393196626872315351",
                "188220123175421504258433052127351676864",
                "220137961576093431994831317033544039214",
                "285208150060513139479469215759802105346",
                "322767091134045973466207304795950259136",
                "300237126246657960224658247256854831423",
                "233908001973048697246884296083543116244",
                "283741050496022828426984944439862726100",
                "199738211155036809050052024621490562514",
                "13404793797861035890312680523243699534",
                "228007563027931414441235811757291694226",
                "196661400119284170625036786482753226579",
                "325592797628718361401349823681377857472",
                "96166958611194203547328488695101143611",
                "133101356885373602396093379700872241669",
                "123097268373031719489532373916793901765",
                "236790636290333108001374112674485196808",
                "260653981650019889866527044651430692823",
                "267971231704965567502254086566931654330",
                "235138097089844198738671809762077601797",
                "212624637539829101323323396287067920735",
                "71818900077882305661334217674508984175",
                "205327910707417629573905368095387061996",
                "126450386874566327684916716479148864236",
                "102242677772414934438520328702883871708",
                "40990026591050993762705666449168108343",
                "220401806910143768309072502361207496050",
                "24347910587946373255179706243410820345",
                "271450515613378642094240953678411819404",
                "182195122923058193302578026956370257497",
                "210454782871731943263912442819843770443",
                "26667479912008792348863391007855642896",
                "129964265604681961460410983488392090753",
                "71638252661282566871603517111603286702",
                "80437627178563658009387241196327363373",
                "126055987881907353482842214347314124203",
                "192509775431763634721646626530114333860",
                "174871328102812480114284191824009759271",
                "59956917694192791139414006344500867531",
                "84572956474206815866633785899788225530",
                "166526940509629336504787375486454869992",
                "113853057565957399812773382148658576574",
                "125947051741846208638308706698959166420",
                "275511301304246218726482316618304597349",
                "232578841475096206316120659835362044048",
                "155604169158824123261406745338998457385",
                "67067620894948909697617375237797415245",
                "175412799380288962866546819801694407178",
                "304624100895644841688327659418690166768",
                "24561484379191576769536658788022686086",
                "73331680632035617130163164547227606820",
                "296354671124926363759968389177449739576",
                "331291902211258807851290746299554828573",
                "101130159170531644702764444647498581167",
                "126720876465206978498829832745093594230",
                "117597286919000270388293011546580480828",
                "98453598874644459884732474668370789009",
                "140478345191792307435935813375336344888",
                "330409959245724522992630798009689676",
                "322208171785581504501927304438231473094",
                "155213168209363150611637628612926008392",
                "225252706951524721825977932211574171505",
                "62030104166670126803976982253987891711",
                "339702097524895551387007836241500495052",
                "263349993686400891733896166663868429304",
                "312213170303935520113706580060134335523",
                "292951620858010635423703841511009609484",
                "9979818412499088943134883751623353043",
                "46905687502627527224703343817342353214",
                "336991009271274973729156470812076495011",
                "309504267524923246331051359690482197606",
                "186926954154943089320111892980678342176",
                "158152755519344943671838948482660280629",
                "160489114155891291561653735235924421913",
                "335567740016611379447444725435416741044",
                "135203578846463133255365615735215648645",
                "183061738582825287176296157055892134503",
                "332631417096521655219592619288161433065",
                "164287738531030557189482569741289695772",
                "240047616042627199011653925229771058017",
                "99764465201158158455774434941477734043",
                "141860748772868860459578209800611612680",
                "244893346993003147281979071444175280291",
                "175661135020156842307567084538672787307",
                "325982872062104621288785076470658430859",
                "192930612093171864772647925786619453765",
                "133531608650068060366947337551880407564",
                "174641388436909218255191879922045589831",
                "75345725281531464762754639273406879012",
                "53773324449482286969251978591958176816",
                "115799853054465158630694134469382485215",
                "134482676542564367384685706561205462417",
                "2017335770368041068657012366613766574",
                "325968580294401592222950063610601790663",
                "219936032760192783761175036614121261044",
                "147157861081018158847993177396227455938",
                "148421199583487173524431166058259457206",
                "269867126909773486444687677800724619313",
                "327307589108610651533795061863132957524",
                "72702205011129513876796564645565841317",
                "48790225374297628596870637660175256053",
                "142907219459213804536692271579203112249",
                "12920353058861390405969654415404328508",
                "95804793286056976172622772210562695988",
                "210724401917878850346208039480704696889",
                "139596296068953869628958247895709442158",
                "49152155468865267027959005795158031531",
                "319869086054307538247223905796616556805",
                "118579247489501370734846002213574748698",
                "142919171391434385717326834797662894825",
                "148292849918928849400462823020113228570",
                "239551868000614207538148666344460189605",
                "303754572156363540790696536201434653946",
                "312473990158133468741987250975552981690",
                "42357597836566741065672680624198516556",
                "335346557724956575318450413251075271648",
                "182781725932500523767934382894474606371",
                "232994707093886364788291026697425054487",
                "232757907590662012123954152950441172619",
                "290068417689935177408843678890765887090",
                "274426460373289529470017086593134208269",
                "238027060332225274476017595998620181726",
                "295885105474362933523588125206619188551",
                "198086757287317668342107919028409475379",
                "233785152753059734605654004647869536143",
                "231671152413571928306771748103826937275",
                "94271997567252967045066695667088636496",
                "81794426220867504241417383706269590968",
                "207158016761036327481795936072475960136",
                "44129111951380711841194611674263549880",
                "68809525484431974368258986372468249191",
                "313586330735124361083749964070805410148",
                "264662307124991482631186833963622269482",
                "28165250156732005960304067413238319536",
                "94649653604780387606962177163885855769",
                "339321889877178326394403709654517809241",
                "181105852723866951369720767990219152488",
                "327723429983333538629257932582777606627",
                "66456940956670443216918747057230025555",
                "305489795425965179092030449380181986592",
                "236325633787683331342521013635087528877",
                "239066584456443121332344662509063771",
                "191122907033242758686626972173359586151",
                "3989933224439630136404634299402203308",
                "194371481866608989961492507769343151096",
                "48917598504799854016772646711374027643",
                "237491205631526047488665221890911416749",
                "104151510741235067240685224554141765939",
                "279462016778960418729890794073424357459",
                "234098820862509932300490052153112548054",
                "119202723093828934218972757092657662062",
                "189097710306091564927476815591980974688",
                "65824585135214437336478087193702944257",
                "152296956752405992724524512778007719457",
                "173981533166952943176046950051213856409",
                "288506039658483038414538553644882244719",
                "94605015907482807850732911656025781576",
                "70702923903856320071008248260918350925",
                "239314161232190563000771085178625504566",
                "263920684301624672748694620560422556805",
                "142955476131227497698457401821567939820",
                "22546106383828160105284964628805290731",
                "330785721248812262882468748010861565697",
                "190050030963610910259510395242313421857",
                "55094684638619817905048257536799654989",
                "253243018969772189437632557614401662724",
                "97942808043400958785332957130026254814",
                "50107810583900295917807933475097606227",
                "175915737563925587976081575970650205694",
                "73408874752013422493211750500829594333",
                "176386320655293999304141910240153027783",
                "77398956182183735671905551893134525917",
                "337545123088606863104194465250930574995",
                "111510457767956282767597947094118039883",
                "199135169367548024685197965809150812244",
                "210976256605196334294863235131900596320",
                "181216002994420765487882645721890619568",
                "277585794712517554816182820809086476414",
                "204600268381736518211668726351482475181",
                "289596490288410221757584780675068698031",
                "63689731148517876235070585843344670386",
                "179927340477509245219921536424274280081",
                "278003465352388663714936762801323508680",
                "271045132461797122115720059790521505237",
                "197505816834478759575226333813658639769",
                "220526971800534435467667276136072273235",
                "28921417935237097167699635599366686236",
                "56035763133617912802613116222291447950",
                "45643172536166556910450911499855026923",
                "99917184262991258748210434374034913151",
                "237792240705273165767103801973185772865",
                "234224925778576029966166699612456934545",
                "192395804597388066584963154310787918199",
                "106248092181962927966824423446163425774",
                "184824675228303141014202590301186614747",
                "324751481707770256039900508562941321711",
                "500573742734811925876452489888928946",
                "8949469970104660195128961344671299103",
                "269843786311665118514409639164007924933",
                "263823411508576369845355630924853530829",
                "171608280250628305409038655707867955692",
                "126499463641076604571355160401628971531",
                "217941301399968872905900307301627508538",
                "214135499584695373102842937419467853241",
                "130752495385648167920230612677090890152",
                "175231615192046599673459547844012499566",
                "279623871979014975194226726596408252319",
                "69533695016293803642996338393095345058",
                "102471296832222019481145868821448739373",
                "15935066474754128527077112132294620004",
                "200516323852868203811892546301695031509",
                "279550758751848407855163825642232522755",
                "134857278829120192044324992542002247314",
                "327884972748356210115162765067022743022",
                "271742300713411512896318979851158054972",
                "212278749549706895778240412261169260171",
                "306128623667420730861045155694585316220",
                "108854601222474751176723984481814451773",
                "134870475219780693111890034502599670869",
                "252588705016388613346256514063415609600",
                "169470757598149868833366821547310909936",
                "92296333989330834013896711195366680299",
                "325314222223198736625105148045119670106",
                "122080074880210240822377087394811408265",
                "147744578703766607279683622662821540444",
                "158636659370817841037120473706114912205",
                "273431038237863284121461659342757073134",
                "303787617275825018414848316684832249812",
                "148352449170160283388993987118505827939",
                "147438774124719085883353115538838329928",
                "126352066170938225882579119989566436478",
                "276560304700681660487810949096008832027",
                "79619611081551636098952425358763394636",
                "274970487250204189714488842640554910399",
                "188214805634574676350861950028144064035",
                "95372871902563358755169281049200692454",
                "41957913178900052473642419668017206484",
                "44284187181467876380550402303489336792",
                "127375116945947889502065289762219168923",
                "73219883728176633546237928888573630609",
                "66994034942173513209178603042141812634",
                "142112442366789162102991708688458778539",
                "276327081752313354729519914967984352987",
                "318523259439782874752001897654182872970",
                "96052674219957580109338056205724334368",
                "86064698826246707671513369727927676719",
                "199632227896469308484519415834706483694",
                "215186938791428383966485352864684143798",
                "82787901201277967253290829814400865868",
                "205518407172441074749264077828543068908",
                "256413551712201679939503816008455240041",
                "202193428575004008923181356387890664780",
                "286347839110572343548179556207894848480",
                "96810161645580259928565590479028676186",
                "252773614910629998774887760833515017336",
                "17439954397219053405204592727442409461",
                "164907393712974372030357859548328632735",
                "148160074288431721538353212814306808682",
                "294359490018840968319152680148415683594",
                "69648913728991942142470066092100726076",
                "195668313222047383586876789854654351840",
                "92388786156018831523937461762999328978",
                "59495570422063559338059209786451032482",
                "147186073388564618901614104603051088370",
                "9814786983952867952717814751093718856",
                "107703664941582202556242010561639248294",
                "225834882989183034247010099454343397405",
                "166569047933443371082392941686826762928",
                "152187806012914448055687296293018559315",
                "274953265939542553482942556809346278129",
                "68002169885223640294135449472168070588",
                "235237903459945881907496774104031154101",
                "112614815737428788070756555056552002021",
                "216606633918015049954722179743850368104",
                "252084143991186868692566894304448199308",
                "98792160216428277498426206727995368521",
                "338492882164237954679030012754476329247",
                "196115299543523967214162782807091019107",
                "36132634611972923906019710353812700421",
                "15886522221112918382276144112950327228",
                "9791359250749053002387036974752072711",
                "25503649871715405108110259642907985519",
                "268501526051609417881078288399068500466",
                "192678811519346684216232506645594717097",
                "118017893710383828175256427698048754028",
                "94151973643312964798787078752219664024",
                "182970709546317015385523036469462919871",
                "261028976478913722754088942930767861568",
                "261953208145280011881417764099558857101",
                "70820824848564577941328382669788980055",
                "302371282791856311926529131709081949610",
                "230922698240087782772183009388494752143",
                "338478620597910420709959580993793391434",
                "275922393881580098546759932003221706007",
                "223516368637036044639143766847889935302",
                "26574378581497132158717919692018721181",
                "251714171791110156781379066616193626558",
                "270435749382256470773517620903167627940",
                "322781905100194031490607442554839086294",
                "203079125227806421802672275719616330698",
                "300169365877281041820805336672285530587",
                "5203883965321492914298292709021358069",
                "306923173447233604447194656621937247050",
                "241190722094289130692657338234025276917",
                "164977528213884631056760615208598552763",
                "205710141024273085665650709920621830414",
                "123303574533612914862328844482992835949",
                "115277691939905616802461293775972524421",
                "75043328398661760365051035396367185550",
                "228062222602352796395463943979752371466",
                "317030678678537724332424701941049044578",
                "207918357066028301762559912978331593965",
                "136280863142353110940295998812483212269",
                "123725408328940333950900691627080192177",
                "85686226929538537053375930979861471456",
                "251968699382046359493077696931418333665",
                "227371868014790111197930752714918076062",
                "55128645744043931868549595422129057585",
                "192018873635856200265572695485972544681",
                "180302869438992807883763444264891321608",
                "294285427435008823085167981410508149418",
                "176901557378662723768134471535221553642",
                "249829939505406258124634798354733497642",
                "91247714478204683559849076104029492529",
                "4745134883380097861500853336872743271",
                "158195185784727419667731229205249511472",
                "248302967271405635516986522886833894772",
                "143425944243889720320177044617126547526",
                "58342919780717434895370387347753350303",
                "220199247088794408438017805965707630921",
                "7436294489218010386236723602214772104",
                "102275596394649526713429462340752166173",
                "269623753671282389272273194490060294924",
                "31638776799636046364354053968958434265",
                "306426561548374217239596771482078304597",
                "300379858342458459001081140048910936416",
                "163375951892637340203321681585142819446",
                "297238247260512922365168159570701350843",
                "50045676044365244441262746338442936530",
                "316374327486167486982237374731102270096",
                "119082162958381719390401067310157611205",
                "148449402000796379797633463745207899742",
                "273302516771058924089271659441515011346",
                "230887469828568082145557397006969657369",
                "38807209970971338449320765008289398675",
                "174161843867302765732291297027422036632",
                "329373855693494204267688897406989038320",
                "178399930259268098483140992241071160767",
                "159886117949947150764166892625602183677",
                "62880166382576404529812210755351464177",
                "277278409326198820421301662715313440073",
                "147634869789407352750912255235163367334",
                "42053244042958297715583243656861536971",
                "322780304487645414542659877720967011576",
                "267236503941820239585167135181109716205",
                "293753367159538713006526604354393049063",
                "305775857738563873087088580455523053419",
                "79658803066662867778936308130647900425",
                "196966087679902258625600747286795175233",
                "62203697295182267874948500534054032657",
                "270428963640777524128121958468930536693",
                "114838817789309890371143568138974917084",
                "177192383031565081436987600302133088361",
                "59559604425307861236423907564584147045",
                "327280657562730834760020107092749049439",
                "171793485945821504775040346232198781521",
                "142371401607711171865635456051239086960",
                "121120112492023044094539965619290633325",
                "307276198255702202230624074560199991448",
                "84347947157513370603910285864820476217",
                "12099566430149489325229648155661489361",
                "299260409163396841162257765027632142327",
                "293963913932742445133229351424902616169",
                "199769182110865228521834964504506955576",
                "85917381058945791928270447898209418408",
                "293138604446223285280154384159612899716",
                "201095430480635516154198204856209528419",
                "132004208949327987046755879399312922964",
                "185328555253416834503589305461972821539",
                "320887516734409987666695677051551179526",
                "66773534000739118199670865919135306128",
                "116189929845750320823701008884785361309",
                "199347424373122895538546742411371943825",
                "138709687351760718945156402491060316864",
                "105127577484642849975128903657902909863",
                "206880445705476887045870289593485652887",
                "119124224799933966218709900741937152817",
                "195006521442258441189941806496725856392",
                "237229892667839902135817731639483322004",
                "146977932403340485398034438795303568858",
                "173390167579232250415223461736371004716",
                "225373570590284055627317904471664718368",
                "40398045134378450084902617829681535422",
                "310670623407414891836509059201367818826",
                "114772094365162685102559801873399133300",
                "44931826558408682214593295719516333558",
                "18223891850165693708556192811405397869",
                "54383794902089297639244905982264523479",
                "123401970657776914454994990097088939978",
                "9595279123983670661692848808164857715",
                "243557697233772144388253473824617925819",
                "324719362642720462814104599091018936614",
                "82935652235568013574091872698132752090",
                "167072648341005376649524020807548883284",
                "183805588234376616581393444834790711193",
                "105580239011782968556111704262003927195",
                "339283026392585629146053308904956149210",
                "304480551596467336792661174747928556635",
                "117962691642269919413849766491724415031",
                "103810219837924785340051240475854068248",
                "185427408159853881558681644360070989304",
                "178258242619994510452732482606035332561",
                "275117368834045795785220553379475156061",
                "71082674674738988871082772964731127021",
                "1717933518275209463373639845583214201",
                "65392486503061721447584797800198822873",
                "308738635276500421125978208660503170300",
                "182693707790205470523267658532564626309",
                "76462358080464218624547721106383966489",
                "68660591022606648715682890044058631927",
                "78250199365767698206231826953641453653",
                "335028964386283112010432310496076794631",
                "182656636466087910876631221798545788267",
                "296327210493468613507863680621956070373",
                "19348367245624869878197068453255848034",
                "9901022196497917953513111998536549045",
                "306141205354876226422592742155750316938",
                "4379335494939357947516114678675758283",
                "18587267295565045077200561994796295638",
                "182645802639518841257173509517179367832",
                "60492927767922938461601567942724655635",
                "264799218365326812565308049097471988781",
                "252565137835122553058418738329094350272",
                "168027794692653250228887424805825860893",
                "67027109225140073857987272103912387535",
                "123151504561357339813586198313951210456",
                "94678713531237260774166306056098485869",
                "213764275260702612171694526449673755530",
                "67130032746039980811925863009077570125",
                "324028534364144216426418120559109132707",
                "58557263234765798692575471543925936670",
                "143155177337328886100490420576777338522",
                "22657649369595806070928453003853484524",
                "232461232684360967823617780429949028847",
                "60312586384110078032362925941473139946",
                "227661003014550196683269945777978591991",
                "30348058476818991536759956108753326306",
                "139512182918251793971755526658685944987",
                "338037947638134260656001781436569515467",
                "184881408202422794694945161670092479412",
                "65489525574864734613139849464811072540",
                "36107703787933735274211872106899488324",
                "327720476094234962159083042052746676306",
                "19355170366779994605993923479412178531",
                "47865949454732264759429789191489598228",
                "199057613580227961862060936038113447487",
                "96621859504708307943803371904197438221",
                "88015603487438000499582136002337110370",
                "33130145121057460837351256633323432138",
                "267125627713616934786120876970392784628",
                "189756354725410533212108627072654732068",
                "66576793393268141426502927315182836557",
                "227748232205062929574336553980255104851",
                "3706312365690979754863186591982636820",
                "253531988624658456637498001634333889629",
                "170796395146818717927860893328944473791",
                "21044050949472921346761488559424044946",
                "215788826276117716761032154349476049207",
                "277009998258376314224028953369530104473",
                "123923532106171647765012381669899128766",
                "310458559410522273368038652768711027120",
                "300354116124433943788338102731430293726",
                "251785129592014649321973142238886279962",
                "62749045137405539914073989595648283396",
                "239034070245564996961440855941295490879",
                "62661714737739096983363165416299421687",
                "196219631529151101829915161145796891279",
                "93590637054343301238784590008473846219",
                "192785039578909203292219337901730451889",
                "177420901033199477044428697224138895201",
                "300306632596842871200285165202283132630",
                "29279671785124472166695407745791954952",
                "130962419275110300948783390546111291811",
                "324421183539844565005656720979034326659",
                "184327896048105880892386684145813657247",
                "90966096203194476102379476772248486536",
                "12541311195233790696739808064119848613",
                "79738457629501317827200625215276912864",
                "327354852466087490696742515478455695896",
                "55628380366425230537370121197994089001",
                "126425771056294264414131924924453288999",
                "13286908220752404154096120385439030134",
                "32562278631065494932434953930550949836",
                "155049945476492115901054948065139726963",
                "155030458226342360371134646728885599833",
                "227636079872324941280268221887714981450",
                "102048983013374631562639413350760547078",
                "213660681029070909709806216241297384799",
                "307471223899665920843621773183020569533",
                "110840694468206243757205240712973655688",
                "143010138631145690515167380849244047273",
                "283768272775336133233706470558540249805",
                "133460972111304301072416580087049388357",
                "174932368393452613884087257018957017150",
                "173232277921551554558486319899877032730",
                "100301813275580143529205135928456331601",
                "117318572058469390304993347170512104232",
                "260884079645159490006919018056555723765",
                "335512896432497074038171839161349635043",
                "304056147445248324628366388995645681919",
                "254348839963950144372609408676638136610",
                "300949413003393738464927146836734812112",
                "314302676414165533142582434708613441588",
                "130655962485613313516070220206834501506",
                "47846518775863581649605045046359227448",
                "152592583429772255332773232983321132929",
                "177737755782292500040500584171013479729",
                "324286379638050334061476805770996039102",
                "77629372860700577394373480795410753142",
                "124180095904414668595659122235303104202",
                "60258746729255107818577891948317307423",
                "92446206566075959733125284540970903543",
                "168305251242245961069156450791187871026",
                "84019749225217813011513563922591750583",
                "185078895369639932457012946697433162166",
                "246901327546379429161312198166962805616",
                "130200940204023001900120603961072209554",
                "134846775776166089476160701758295779837",
                "320169552809924820557348626644899745803",
                "320831179022728533919542740511540481324",
                "314875018515039649122443631510019297434",
                "250130280374205086453888478078239496714",
                "211712461326675676932735069363745228058",
                "106915739928900919198810379946189864651",
                "337554125146736369792656518248016663458",
                "207044973436451085499817938254161347273",
                "321253604457609021584508724449310920660",
                "88938500445836047841170750930045773915",
                "27134864979288579075549408420898030944",
                "244298374947052925235574818440180962590",
                "302550240759070320315944365025873248768",
                "158087441668324346971496503197772354321",
                "195877351491793359833413054430412492858",
                "136326012997088113282698341554240199282",
                "252251480925062078516719086151245611321",
                "169096168481127492147550520838757281511",
                "268177037542791516458493367904337938519",
                "48401546137321727701987305038003689428",
                "187865416860808788595216784861474871455",
                "962796638702212806675204687110831627",
                "18374911362859316865702372846921250808",
                "298580053629867591281180211793926622680",
                "99879614301998487548252080376404776524",
                "204049071994634956038412894239693119746",
                "225173518695959050794629605171615208444",
                "94322948433561048049450744373644732832",
                "290689504004813640279764972223525814270",
                "223569760457119351170702507888202793317",
                "316082829081004140884777968887183165171",
                "334373394925673045283551624973793811918",
                "85880014813258351879513873633522577360",
                "24116759506511202708468876404953692493",
                "31958652850344415067795527343409135507",
                "82916792367115814860782693373257765484",
                "204954454926815501020535923866688695384",
                "55842155122939856787636566581175711793",
                "290898974021241494819464787821646179020",
                "246932900556104417168032715574533539075",
                "303784138790150367051597733024110822635",
                "2188474443971200060707721048467504313",
                "106379297767775307599107848717891651903",
                "15891263899515666719970687205476919509",
                "114755997015536683304706279050225915325",
                "321580313916346041224276584308686009575",
                "164588819339516258676068820105238804031",
                "101855378631143442512364673730903585614",
                "97796692207391167422000513045754172433",
                "260637415908408870731772324343493257128",
                "234557681071659612336429565757088431060",
                "181841875803844390905824003615687577380",
                "219530606129185876994860194396718965150",
                "45259771913459710719249162672905145725",
                "119114531716925681577369354937917506623",
                "264267743885058629380169344115257475805",
                "93860477717753687281165877182758654347",
                "239338607905302498769559057170930868431",
                "304923159965533585550982390702316688438",
                "243424890454874643859620340512702493378",
                "148887090818718935672270495463396385223",
                "331535306413123278743472280694877402341",
                "193597169848910785669088129862499842480",
                "93087136842469410532126458282315828224",
                "72059392618540302643106364315279137251",
                "119593026543692267962054475583698597597",
                "236522839182611351102963253889173698966",
                "153904928519588585652826637053239008055",
                "9686757670446953714312616441988894864",
                "243807226586873113452678843627895975939",
                "66386367858192613421486113885469280822",
                "62565540793428483808333313232002594316",
                "37206330393004822581050215800008448032",
                "284770551887251199072792609269424872973",
                "69116206295338546857450416520054091518",
                "3628768726552981665289189923819067543",
                "103290574239092805432918642689242589584",
                "248722485312765419991976906573924276798",
                "279425079681338171243283447941026980864",
                "163863126187854093993060642503752291331",
                "304333172344146538346526304952314595285",
                "321144999354315687065578092925168042191",
                "322880478874509797534925754661113208660",
                "128598630000996083745435004353974730909",
                "37674676890919321614003854543962715003",
                "81588435215950842238946551389479973527",
                "31028613348607264249614943685279337156",
                "55715264948135135366965512883113579239",
                "169161672373752208614387537743817007230",
                "25414206151660019954537562023823327372",
                "311662737468736339237810301479188052454",
                "265336879501437658543514605004109473377",
                "202190628479710576089183657583619057511",
                "178577399891546197257948672156745877694",
                "166185948459901331329415779782701584568",
                "37852616341170291766791231633039178212",
                "258431093683300167694423883041759228879",
                "204230972614463268825273378466371366090",
                "215379930589710045215292450826887367853",
                "83250726497986970816961360180369432289",
                "56942186730473531579177054633269195498",
                "116944474248126819473978174643590685912",
                "220983743290999121634802594153231301828",
                "317398351258822090994033001329272841000",
                "292859995272009060541200674589280467755",
                "53449135209926343164302706555450327857",
                "189183012041741043088335782258327773581",
                "295868602118571189576001860766529182766",
                "229210475759717319133638638021911054378",
                "157077495254644714962943671191814797926",
                "18771639008163395721669379484214137587",
                "320617136952768269353317787369809365119",
                "58654981574611842110119811912534562619",
                "245632866697420528834172768711986143163",
                "72639260323306859382241498884015334132",
                "202008631304734461322026524753368665669",
                "226678416954165544469601177152165574929",
                "5369853660614221003362840541206025381",
                "250773707241703547385147509938818846570",
                "241528289725353112758930181289427901482",
                "227383336630665647122095333405834583693",
                "268196981107126900929836430081950984827",
                "253566002771811426310216529674566500194",
                "219860445721349364129034002400197970561",
                "301168946170433896504250661204150303292",
                "154649970156982767798577564868254107196",
                "112715885825847282013107522826680123902",
                "191550470339706941939800585292883137366",
                "314210177462808684998021351468983377171",
                "243172380574956677099953061886437700385",
                "291845123144532224539035505601759811465",
                "260411021431788691071587938249838787040",
                "36357410253773987051313386118286377881",
                "76160204214705658062982926707298022750",
                "81699958076617598761248159111562542518",
                "27206066046604105055138625516520814350",
                "269686468850739707505609711438074056879",
                "169642379484051789182438119704181822054",
                "46155256478702887274703734519689429750",
                "134493399240922729863761323209894304470",
                "316290063999468958815636076858296387203",
                "262267855774369556678439819562776890828",
                "193653576037258607833788812344861002535",
                "172722214913132764484435245589144765775",
                "319548763409148472507587773856148696295",
                "139195095460354078835283219641953197290",
                "278417875092177267338683846807412713879",
                "43736416267451289296784060383673812831",
                "259076128946501109410681613776291016933",
                "130436808673425706784714232509939657667",
                "220140662251735504462576228264172726380",
                "185622509387928212255682714172155536926",
                "245209714443938276855760065254331170975",
                "162766698355635025679308829098182475369",
                "94733198435540497413194357685244393655",
                "296721181561295105786575589898251446350",
                "241323238450338984441992337665584537434",
                "282983182717959672281877661308065249188",
                "107672444523897426378370371124441327121",
                "314948158865786494240213659385858163741",
                "61757111466663401334956243176856492941",
                "25074291455618486884662561545029444324",
                "8102781767299301256359872476299638390",
                "325185124604825016345156639701132832756",
                "254540800144471560185626215391056441343",
                "256686484622757593913203700193406645379",
                "77539954156805051210380947258189968379",
                "225077307781240396432819212495924039049",
                "273890486164114389406526885102809799670",
                "210764166115643974281130759636064982514",
                "86573433501313789021110834322329830276",
                "115374645054154042729433615628965454441",
                "56123840310799373538267620902539301191",
                "37533174960147629939381832904743674514",
                "117080738558516815739614821726967876816",
                "334847868659580426029347520018870855939",
                "69110170368920868726835452799818056443",
                "181706101529939570292086175179809611304",
                "9209880382076766776080137435018473929",
                "22145942787219538584066507460670366466",
                "239978288956967446103396014697836334311",
                "245114447735032545503360767279457852579",
                "37378181268770475013723371086902485771",
                "35243178802050778672916200162428996120",
                "32463972697578279128685905959221309539",
                "191250088991027942327247482918654314092",
                "338818058936065411024582715917102720045",
                "277913432128396401749638280453510095703",
                "117927961571660408485890189922330485635",
                "325067088766197767441988690903076174257",
                "203071377561124632699179969786693176268",
                "30602833728023896091331886428709986464",
                "217876580499094726787270741346746263893",
                "7544726596157458790042843463927337028",
                "316001092175581915304237595650476346206",
                "93035494088531955308755230359346047804",
                "193159360622716061266089335370257082554",
                "231514491743224475430832908062351198643",
                "187083253367357973260261849453464391816",
                "131307654517195745682730303316246958153",
                "151467238740099820456954046111455161340",
                "72935250956540859765982613827247169497",
                "29332340290529377876874283866914788114",
                "13355509482178451379872275538657843076",
                "115114708127701265965486501157098139648",
                "123817076108196637873644560191922146264",
                "111418358103512332906320498005191476706",
                "1993943642598233932778717100384517978",
                "254158133957737398844466564984141274891",
                "108854462739378024840556349401714753519",
                "232786129521598234249104532561845815288",
                "47759931855315640194137285532917162967",
                "61456201124763015355573939903413523984",
                "323608894698211726860105181908054303587",
                "224629528493714100029976290800138701906",
                "11360316258389130497910465176484819896",
                "234612288940548930796511705285167413132",
                "193735281230875857232412168035647236248",
                "87084394479655243973447657287923287554",
                "34088926196002768741017622020117347285",
                "217594898515761695126462631321222738423",
                "274201648339057567818361043778596196673",
                "73269854952460549146568722074561893745",
                "190234007570450190677749994156960605743",
                "31515578279737362624374948835145232993",
                "253014121300615602057944986545840656588",
                "150495040660113951683954215457976136689",
                "73191432477940791975811794360321326887",
                "9247414682840678944074236236898338182",
                "298384416192097306224720603526501861504",
                "183293049522095891548146351910081750975",
                "55356377854274372054874470066668554013",
                "168949968661600332766010574415314509921",
                "244051277867992602442588670725230254949",
                "25856708608619187829702248518324333277",
                "126226839354233475950123048507562701714",
                "169805564238405516203427449101562425475",
                "99965868818611135167288745057586621678",
                "218694380465446572422440538560214053304",
                "257302287788105653958187241671649994695",
                "30031615153563559033501048086118904077",
                "314511612663587827737376396914896134529",
                "161913032279036442513889328027396044672",
                "77145896557039943141989087947704905007",
                "207423340726559028003715134050758127340",
                "44933634695909784614561380434332228919",
                "213363605348295615151609144931547888163",
                "144399156243776366420015402071388143513",
                "197408911276709233803169629890821054411",
                "311479712239063572715894774336309277708",
                "143411442719020055468579399036988338246",
                "235855472111289894195520895230228512139",
                "292676549863104486281004800947916183359",
                "108449945254295506738681702181572615823",
                "292433860127370154963310293721062216575",
                "189356001447384616418078880047619907013",
                "259303536378121245027628826294403833232",
                "44865032175092169677103966583427754948",
                "24868449941165260647642242699088406537",
                "22205957210540882068555167411665733863",
                "54325803814408313806712094596431175799",
                "27944929202135441900401583177845547746",
                "151089881055018953978220261701225281723",
                "251188595938584296710971181713086986165",
                "149859272670496499323641943832320967524",
                "251596219993331312330853770592175462437",
                "253073123509920899646924714992075748140",
                "253944742109581381516770528676038813701",
                "156354557114025021540851431332319783956",
                "247646939552403450375897225130301704851",
                "113643836513641570725024907508284593001",
                "278451460979496173520278508749337869707",
                "145506692600850808118301127532137112431",
                "71934562033687599724082284626954111124",
                "235402183993316805293823350417097628475",
                "272609773021526512578307032597516924605",
                "301100953249748064347020635762774355346",
                "286034249945170042909421199764752161064",
                "24847582553048697974539788917506392026",
                "56353212252275567886920959257040911348",
                "337444992032640330001266270563089827882",
                "230574808750814926966816245001656490173",
                "149882376868821861893581336470289798145",
                "245482303204257309974115198622683134532",
                "229019924069264093575059657652250682997",
                "22332980009993407193122908438651784326",
                "96514763746163246150872478945800117819",
                "203707439904423158842773411131498760015",
                "271873536553759451412670834821792834003",
                "310246285451056497895692045683398791979",
                "14826474070663747089403589916192133085",
                "217634620343121661062652264774407317196",
                "148060982954554319421191395506874077257",
                "245969691990084735137201512958165057877",
                "109443895639382159856170098004924400737",
                "109186001753834813821225173164439214851",
                "177819548420564262038338924584689945481",
                "86737146544032029846682283394015908614",
                "34994151601304364129397821251850336200",
                "93137326051106578710281833381194902559",
                "279296204675804896359504126438218416426",
                "280037637781498688655973023453515346176",
                "264010592183353950072566498088023712244",
                "123435223596753870231649019398082219398",
                "167685561559494859747116992181935498104",
                "249185728727237092677683688048543685255",
                "301946856601375767603911307725695071461",
                "144634731470947804288152074165735156686",
                "315524561502364891893683106213025797766",
                "126811530150170715239875249314626415663",
                "287840170993134624222997893722765454560",
                "115971227430518638940721909737589287316",
                "98421450197676133415684166170856678810",
                "51069949259455302518483972970911405635",
                "286751477110564889673337319744462059084",
                "216922796201154387242758100267670278290",
                "264217527957632536939532380581489486493",
                "162311935447208701717940607794693564875",
                "278528023109660550927387558148837780090",
                "16718585325843684346991614745381841316",
                "16688702196156562629328347604859116326",
                "115051943038009961573732918370348957854",
                "257402297489763127066745634197276305828",
                "263150544520559822437331685346083673879",
                "156803058417620957220458431743888546845",
                "333213526117182303872123911988243171119",
                "145830746617685308459194273446488286005",
                "230835800666216334030811661205081830731",
                "78178185328186835023714977129542514416",
                "133000228499012044849681220245238426434",
                "62272275117752115111069008281367162638",
                "237614493134819604062277345567931945655",
                "241077508217531283806144154149746082990",
                "153581869416478724539145967825549260910",
                "187314698899035471172151984053218145591",
                "8829603325057524780871481750259846851",
                "65940330321939345182504853223105893040",
                "317256938020024548741190697677026027082",
                "292947361285016987532052644304333246887",
                "142248174070654940980839573583507187500",
                "266839376191270647438870936733915133979",
                "136883905581163955684548287207138014660",
                "261533885724176399847727949354136107589",
                "187532576374526036601925273633445511703",
                "253109938171887337317035763413300201236",
                "108161946951844960522127254722407788928",
                "102771877422035605171116468723020684067",
                "297196530227404411559265954673648592716",
                "67538169835726308628760884123423747493",
                "125233550328261447531727906989870374659",
                "147438716438109424551172543459160827095",
                "93107796361947374298778254284841189655",
                "286815986223071995163877604368650126260",
                "239596034145748191771766570794819751071",
                "78164566222181316875646774522350910951",
                "251014789727387285796764093106577061223",
                "218680801913460582964691568586646432735",
                "97006907085346715797327267887251609870",
                "185260749390120102417089191306019395811",
                "86719432346728130912740602374153505559",
                "251536469373921186916821256787100390482",
                "301076478363359016682405647988512369648",
                "177602930812203160408217263943320923797",
                "10520287512799073396629379124160208867",
                "158923832423496906143787234741497319822",
                "153630096394875242957352299075778099915",
                "136884540797346749527350577750617931926",
                "126479559919637638453025396845673829836",
                "19948071201290537938570625941906932294",
                "336661228406819499800541927888235939733",
                "9243104010109507372697142934284010269",
                "146482877331062384495553394435425303204",
                "164384623312299784232874149940693151369",
                "68627559310233483295541095465410665328",
                "204328431584622417652067282957134526713",
                "201415691048773933888986590121289865152",
                "91746839349007669687049642129650152443",
                "70264380601882772920207442005382113085",
                "308909724158666982345467230018622071942",
                "273142108646802396337965080262179279265",
                "7580929985234445658887223501448489453",
                "260176952070490854815737824999605061013",
                "264116567248535078427386887968458703557",
                "163300731167248828163976409539370290539",
                "273088839056844217334483514721340108369",
                "228864172671206957609016017374518385990",
                "149610114041811334672020420692628670536",
                "273593070767079807861786244445094689320",
                "143126740698256097508761891543084532712",
                "289820553019380448767713053524874695691",
                "39995500426308156633193108431867815390",
                "311981369516737489970087043849359772105",
                "176330493673097478605465860633177536547",
                "35503369775205426628395447524387852141",
                "74391335880674280180849181274884136893",
                "294052035814242575948286975113139389011",
                "30588461708632020345196355174711223678",
                "78897408031376051925402675939853167991",
                "325751973905625961829569417681077308910",
                "118831162798220480622037781891217315938",
                "83306624716741768082297498767036265158",
                "113643822646140937554129969117796562543",
                "332838532441381882298076228356300784123",
                "94364443120049708405481183779213091603",
                "115305186666322835926472367013453748447",
                "284985862880668639598549524706785462580",
                "277114255907683886223817261429968035857",
                "118200340193167343890617550952205227429",
                "109040085939919054790368078142077567496",
                "126300814772652920700797703343346941435",
                "278169447181461724002311015340453705714",
                "120267695898963894332364896144121201135",
                "339070963039770947748882783853751708808",
                "198732694503258425223014391734097295478",
                "222417699348709840308936479231796091148",
                "301387609255091480530779111721667194883",
                "192505165199716894398390688489265056368",
                "325620575142047820819618391206360378388",
                "19984022876110237578600129584692888860",
                "208549754615698119193068532768390094272",
                "36367281180245027072816487946280488205",
                "123526460878371755590476605555091108509",
                "40589808801454092990016696295629941761",
                "93570142084759292593126242522387912807",
                "160103790512665624001917240169973593345",
                "209138633853855087701945436006749238118",
                "244301110364779094865242207113318142284",
                "87664086226659036206358774810836257137",
                "257210569947118815569631639746993808266",
                "311495865451112708661645974131925785716",
                "53444361944789174326833266330108476924",
                "208276877590140810213171437680014817133",
                "62578015548551624462984153675752429599",
                "69800834295961818418698623989881720746",
                "188039082463928027176853662808109188010",
                "203353628214149842370105201688834658658",
                "30210825131250168488493071718484044814",
                "6473772293568051830856014192460420496",
                "232702036240783913039445111265590008391",
                "314971906563698356205983994040608908463",
                "312428647408303770201067527126233320518",
                "176907657868156626157423908644483942736",
                "265455787216235669010128958554841886721",
                "47087940928023943858450423348760747426",
                "334703025574350422416773791150355269472",
                "244968612942391210808248363942864792142",
                "134688489867946551122341523086269142468",
                "59279907862012361191232569716460494413",
                "91417878355249396787812605256712177552",
                "185888791993457198383745975061750330212",
                "182351081078131551628924296893274698153",
                "326259693090580714772266849972059968252",
                "181087069608068093531779461691800997904",
                "41013605743096343512923605224467924159",
                "97231507497965276918408042184215964924",
                "205454448120310233272548683278882375602",
                "222183943025678140645929196730711301127",
                "290570385365227559504381692268895336281",
                "311585440149526204666750078244053425229",
                "97497461440437480179172617842147005955",
                "286271509108198369825227825849960171106",
                "188281775464323781794926265915932826391",
                "214494868116289272984115734381517356785",
                "314907093258729289853126888017898523169",
                "181854352713289963772465749699080503959",
                "147134114178702609255002460341791079573",
                "198279557461105607919180793025437084193",
                "167629534407922901443842912022829642346",
                "90390945636219078609826222066747850287",
                "193232559693190237015639683884692638576",
                "127037883548295362097289755670378808083",
                "215025727676552155790292133307632698707",
                "246626276515613389033145720256062034974",
                "90077411130057871453191652492890427640",
                "59169554317316263539075045355900851880",
                "321204389092643835403590100634985459980",
                "237799693574327409871070810238022368773",
                "154873991869345690923184681494455608046",
                "322323845241922482204359619710473506439",
                "252259997227672015877454029593364969849",
                "76874833757551072983510888400939973679",
                "243867097756475361767232011336339637167",
                "13092153799725020797875248491549560890",
                "312380462740159185161827407235200270700",
                "317952354339426568610075392160555362923",
                "256029059654548125970821016491705958837",
                "224375051404894971703007895034459619991",
                "258561351816014605917517628919103359729",
                "304568674280011360038500277758878939687",
                "114247665716005649203746682851264366133",
                "93224445991245638827171569764465428471",
                "46779420106778771097721778378669190230",
                "216198574415546082284293005570951736934",
                "5393432657561744085084214861836558016",
                "37306017492057860164267651212731480389",
                "149340513740774143259199930111802470900",
                "76544331199822964391935427236774925778",
                "84850398891090647691248827976637982756",
                "278903579331110307205347278317072953745",
                "133540700579093974644455775846129556302",
                "104623346387644376745337510222717028913",
                "228851125814647240200586201028630494208",
                "9826340496303028750893635560969621977",
                "234533072845313254733941819102564425764",
                "196139902338909174484785403563872744894",
                "229527627213837808580233395880169458200",
                "296268554898481260516887394244608246928",
                "114860671514991421087518809536043637461",
                "32929701121159667573856670795578601115",
                "336666488092664471208110801800700700872",
                "38030905413532688303350191208919316227",
                "162259532657415088323422318185052284248",
                "106017141583022091995437926253419428729",
                "205569239884670862984774019855649444061",
                "183628291307817217861883408185802489829",
                "82225779141459548223182236846160392860",
                "6710227368576797092704762126150303263",
                "136055553605479538899501187390279842554",
                "288312720673975434251155980663817359354",
                "298539832868896659128091277280946638993",
                "74070245883032781313385802107733868577",
                "55851461734170922802848977746695046791",
                "152117318197701454242104110748126179501",
                "326522986103027506035781114962063407532",
                "224397355457803695261769433760333198304",
                "30843757311999572983780359913927576017",
                "158454118844799280551791544734173930657",
                "190628588463663411834100372472598405621",
                "170440619413684831167539985788246083667",
                "237065893105591425462515305902602888864",
                "213894140615736799387741632416855775077",
                "109135207233948740363005640194003363821",
                "77485948121146673938503478831725181419",
                "200645786075679269054595234369926998193",
                "267572815612861057660982901784165298020",
                "45943241899050083258466158792864647040",
                "325261723051826457176029346354752763004",
                "297565005517924221220622959420225487261",
                "219691664132589214205999280277186752928",
                "298146251045242114137008905596958918258",
                "151247056057114747654997832205188720227",
                "42270269115387188741633234296331026451",
                "247613191113528393278670259919340085988",
                "125191565600552854168523857752426101282",
                "232207743425808124100706687992500452938",
                "57224277286376756973992798236220857300",
                "213328696427757471505659584896738219688",
                "239726597838915010342909111415122193006",
                "162801382367220465586742545928420398624",
                "241077968737678317654732211661003582663",
                "17909805395926027360014377760838058892",
                "338188857592625706749648919921194316867",
                "142137268319291906504348781149616818697",
                "200483069922921688879373966585254102255",
                "121232504960341969720444547578578027090",
                "339591849447796019336850824397466354130",
                "185654762937953403384081444290894974585",
                "89254890937526771686225772239909826819",
                "37112817917844740731366186576925208431",
                "188580679247574518079355061346778263012",
                "174974946743741489640309901222722796130",
                "90572073887808718170912225093090012046",
                "44231422067212435801986501793671009400",
                "215315447512472980605284149875216270552",
                "146101172771452385251220785761936286005",
                "132615000162272390692395448508296830059",
                "295750348281816942537376470358379006588",
                "254553751709002777275121448780056803379",
                "38474808474215568220399703472446466250",
                "32162484501081842269604268286225066806",
                "185774672982709567309343846002710525549",
                "218290736852956794769792601967847285322",
                "215971767163050264334131100284579209896",
                "254093497484170988424245477916644926569",
                "72966193446895362115144021025598337198",
                "315798130128385864717801442498922233787",
                "68232382819718819535913614244761115977",
                "80899123874064129678102361866029388694",
                "274452155151490104329397779874850111048",
                "210152665725002714013265477427248427618",
                "80459129276666404252518911742271916610",
                "68954390527512546176231958174495894591",
                "134154227108998319711016834305699459671",
                "222040751770986335331539672385349690919",
                "20606162429832213163517654509600599279",
                "22856954756666648943798802203140976571",
                "108462611198066135940986276082322111806",
                "107651232848990682292096600843428672594",
                "329744351452288619512781478324153690856",
                "109569683882000128899585735886372309108",
                "78795967019644758213977820074597209099",
                "213446272503696237938265866667330017841",
                "267383569380553526438043469844804403830",
                "258558325579937936202940412167135084055",
                "163342279210053970559226904920138968204",
                "129750920967879727752920410688318353131",
                "284237130835777196641373744778006259331",
                "20553740339597370893431080527781609434",
                "218775588026229155504964279615622762383",
                "29331127597124018482810344996844162458",
                "211881778621040549491746955497015753713",
                "271170075739321897074180910552664879378",
                "37493562780001803339769562681308321125",
                "140634616674972122667555484528386722862",
                "247670073099268982461583208994467263893",
                "198436513041588515857027606069391195334",
                "244738495214478277806556617684190592266",
                "144390041424770182929912771687522716465",
                "93099765821625985123232178496929182695",
                "145418979803964335532809922468696461296",
                "228395244933700076812437794315034173013",
                "8237692966806830143668961843224872880",
                "134039983775435938271616527108872221593",
                "152514043228810033832663864670749669780",
                "199999950449060346321633328468745724706",
                "122721097408931766623282941249906226831",
                "296333446393487601860376500562739534446",
                "199487122351711445955693733023825867925",
                "18800963565944290700897292819862241320",
                "199595968665180835930093748645989449701",
                "108988427528098555877617796274277810208",
                "67514825189306382619614301188857236280",
                "289990681845037954275504028579557834",
                "175421406613653779729780164193838442023",
                "212045514343944722751467511168054591943",
                "329854191122318921479414053109779115214",
                "192822686184953847039941894095352727921",
                "226921883284430772961874786463193823503",
                "252248195651873637245020860236290235300",
                "234174857385698526759802846520574607755",
                "212386204571263641907628371869971656870",
                "124304695919532042383855124908598688178",
                "28210694577141025708727095204284375960",
                "29297738407395442014320176303949513526",
                "234266157767401276120499461616069289761",
                "215833878392028056436581204408383307863",
                "185802003515167283393859491530327304861",
                "113263078177631289010305416746366702426",
                "97088590195868409840250364342355565437",
                "206174812642875336195390504943157577180",
                "135153703738323811490608972115652186139",
                "43379977145138175225344210095042455395",
                "293378067272516188714871887404391995581",
                "274239520724765151354173870888693560377",
                "131953107528990708460843220461312630261",
                "296315760111685764177541663071530096683",
                "80133197093959733720482190614361500496",
                "299249533020660563519310572657616883961",
                "24912299973324892208871328345035394527",
                "246280430697906812396235575487741403609",
                "143374789982115050541073199608226601933",
                "70480424968436269166878417878049870994",
                "289096783765497220406786397963865623282",
                "166155824902463396635047305815452825728",
                "285918284584733167334985260143363254036",
                "130442309327479224125690160954709640790",
                "326019170206470590200507966061769786598",
                "107190259563527971917343773786934957302",
                "296357919230507364263718202373123691186",
                "246455182318305274401886372297517037223",
                "4442990476959834504461277910561097911",
                "49260502245761956536748511758432333223",
                "265336913517049166566636599302005864841",
                "331861408248752007209836995477601483508",
                "16909749986839287523921298627307471669",
                "94257311824414767392046283125810690548",
                "24674775501381299663894279094179698280",
                "172790056073936586677064278673502386994",
                "126411496606138018312574242906648458601",
                "228472989544885069597302963570100614338",
                "326406414464483177951261821492199311420",
                "209417530798383274483606454281481754220",
                "205637632616128654190781381962053192355",
                "318944284710982611847963086067815400857",
                "157446764286675445679125224887168367097",
                "50806185078645546620515620918333610601",
                "304065580084036334468482851214716651468",
                "164139477367123153595589682318512011393",
                "279563321459947209013041840907864590921",
                "89691040733794987150936309204376958762",
                "232865326605779264090221501976678921504",
                "332358992049009523287161492520452168253",
                "65331539076655730474047609119227696812",
                "129057189632780114529950917021942407249",
                "217917479488059825165938783152207364180",
                "248119697254616833682661637412638002928",
                "139235434740604250938693108835967843594",
                "44874429897001596099413839202096763005",
                "6595616585311147273996567713840655251",
                "307974224821762928315355252689231133708",
                "137020809436777060197843898703421378023",
                "128370863461190171235518784160813667533",
                "244746450066807710377836899678929861307",
                "226756342353691072182664240167992272122",
                "185757870105529213291394770992819692663",
                "62372933146102698304093666616103036469",
                "134772609021020917802748608304998895478",
                "97029247690787565013366763399587334508",
                "121904534343416672707521571402049719590",
                "172568051555478663574038047346525247004",
                "113548858488028852620573221576544915882",
                "34816296595601721033923091188938956075",
                "27990108487155100875116962168269701149",
                "234795878964845380594494575757994020610",
                "33846189401122401972887335548547140064",
                "145376536459579672041113782354840294149",
                "44849256282421186780315889661035170689",
                "145031891305161479978130560344830982469",
                "70116180873244849027489599892206451472",
                "275167078850079189718512367817595826019",
                "37323598001895467614869091972497435041",
                "193136872507304542747932825487612172016",
                "174177798113041307013232685824521922618",
                "214754811556781513571517236700883188408",
                "94518536748563026168057951975198619820",
                "35457102978630284571855720023132687221",
                "285102619570771839582803170377880275676",
                "274631610237616470051769541172931206905",
                "176989538827425350256322553276575550000",
                "9126412969461904724373540441526177352",
                "215328415594493906785210940434249306839",
                "158121569431019267065873778977349278499",
                "152552427843468063810339512247428025662",
                "80795528031946973246769751358124534533",
                "152676168419329541173219967452833758076",
                "337700998114405836714875441331463047792",
                "69606049744891266513275960032262420590",
                "310516868604537671468893913598104815990",
                "78775221229201541943608001802213080542",
                "299604972470247505776356278008966606108",
                "64816319169848909659362125246371298767",
                "214871547278440530599551034701624916036",
                "307377151167954527468995184727989387938",
                "225079201411129779050496024754363272310",
                "80101431446562222077078158286867170331",
                "100601248696444503894525477927375277034",
                "179835716654314054045107782843102495235",
                "191972891065513307529581012897343565112",
                "32502919671933073877053912274647016659",
                "328737774161818066820684862179934458667",
                "302712141317421121176772523421527712744",
                "267263981883039764528744931449008119401",
                "225720339294262463994327767981067610077",
                "242905934029126957757461239388439382564",
                "142030601722387268607637112289427506435",
                "296135809552933561556097637889080417496",
                "128120076311866575161666360661957939287",
                "183864712348051206731357132677952498890",
                "337963657493860362730376729116805710991",
                "60976994887087309961813246728772651456",
                "62227427454396541153939441860190145492",
                "329853737458202751821396689464894793260",
                "256291859829931407637339777136198487171",
                "6022107159933724663779602556482110568",
                "225366596398343133050546094974309768464",
                "227957885450958791267465986226968880761",
                "50584340960597216327732196132654705712",
                "277780722010456093329213057665332750259",
                "126681273592069029926916530404610156241",
                "205200761106871353248521720162983960515",
                "55209439426760547135435211328815433110",
                "295020574347867058553524962951433121871",
                "291359382124130519895056558056771787274",
                "19127943147299136814354015104389929432",
                "81792153547041019267190357189162328116",
                "129509737420959936901086648017707784257",
                "290866677761402465751699034161244432339",
                "126602271027791840587262910257129339054",
                "277082059485918307401360867994340379535",
                "6572971038373649142448607177274586134",
                "272373012293868881802194501950922758850",
                "212649440550215941839382694886925904406",
                "11344415630564500247365266797477349693",
                "227610114197273705021696370704142271452",
                "166750452882140838421442858308512861248",
                "302429950969657122822928989997655921454",
                "281817815534355337049791633741153294914",
                "142250052548264918580844099309988511563",
                "71141410511687452904428799755217781543",
                "333603307567941563032831454724249418944",
                "206438345181545278310880337344627887566",
                "181380222864202522629599701806225579105",
                "53853478002325309858038791007582465472",
                "69255656554574050827178358198280177068",
                "86296481134284133274313061431448815608",
                "232555018097809081402580414110686524886",
                "175769100420973274557936844835510736602",
                "93902185974748540378353199330321198795",
                "153235891080617584704082906707393953562",
                "164660340871730016764461862514588278494",
                "308562219831991803920589832119670225999",
                "306357471331023374588875044156601307379",
                "40714191600239177505926154582435477240",
                "76693741313166617124926005057148929093",
                "139474396391253128250226455270982096516",
                "317216874243872545755128117806172904009",
                "180825322294177105265553951357333870140",
                "322339944847035276791721229944793031763",
                "110284559112670672651926418474300607576",
                "218496499328589340890813731710616661926",
                "276554423462303546387241181024634615610",
                "200415260888534249034621942481730536384",
                "175225230013630224223504681552638062002",
                "314044372757990826175530908409222918101",
                "285947672441030946407961870207487076398",
                "311100412961238581272609381604525158168",
                "295011529378531834306131597185376939873",
                "64065048361825296036246045500670180339",
                "182541704758464687980573029089448326407",
                "82420429959855145776686114801088819029",
                "335251550990042556003741358652084467944",
                "121806423524073682993792214977381896838",
                "260073374966889662390338981596751108952",
                "213700780451195963679638635526906162611",
                "227812139725950661852781183079980495301",
                "114682556422714276366644097419331304117",
                "87051532002604432218504700617681923505",
                "275156780890637029616712095886276844934",
                "171474632192469527528485863296246287586",
                "69221821867025196231697730791146045016",
                "168977251400784099406832396327987772863",
                "56900562584119176223753523947620555724",
                "143864145264935524736781475560208086894",
                "133218592610749389529102431704303004989",
                "4383827317731300621168124499300317637",
                "334998435496302485559051274995262476193",
                "267870471085914184836988830920370774873",
                "129736609122321990978655159100330760221",
                "195237757364748740330900501205442395642",
                "138245097139910165762442914821725075023",
                "262929413670503772636388018958387716750",
                "208085741122964796938781220664497883149",
                "319120543200761852897230303623834760082",
                "339325797043343658774653855033045697897",
                "91989787222052909855048270288968043821",
                "186093835910424469150856127716718738517",
                "182230288919878553671573936729365218361",
                "68975347667040369258558254734120618083",
                "241113266082542385390148942806200119225",
                "330852155285806828471007785892069628040",
                "111951751829502479317867601808041309828",
                "186403645092320159952129409080328495241",
                "251539958273711152419681120362793700141",
                "903930583173508651405059185669827237",
                "275241087512354523000283659783996898287",
                "184221351017399475654842724790175827110",
                "50381974108863257791630636366862398870",
                "178202061725421452196613235788676776493",
                "16496598533864672920716662986064674684",
                "174413474307023904559765884728644583430",
                "1751994913545813325722033958593369163",
                "232346031693795596347950101474318901998",
                "224847854218188010248345402440256942702",
                "242387643658552058919373449033299497100",
                "232636013862480404811733820877687192366",
                "186875322463540823481503659101700344122",
                "286692743689699601339835787780118405567",
                "302161706698965349676578300360653704757",
                "105335148681613737496619593080562283518",
                "210050599360189717721773515551641917644",
                "281854746965950880583451662715149435143",
                "1527952451925159041696461222924932631",
                "173125896431925931071998287786149558509",
                "9645096669186933168165858228638049887",
                "195388376584890770903202709084241318994",
                "284861114431312649965967653695009984448",
                "321422738799091046076914903416528834158",
                "227005289514519816675878578362540494793",
                "212763128402696033573714513974818725243",
                "261415583868084764424776235143484748877",
                "112086185108911098316063508447879975615",
                "119616257012652529086661047034391924678",
                "83590675625682945114291463008930506617",
                "236922506219602913083515738661068202616",
                "5270574480428866421171240710154401335",
                "54733603256397279715088337325002307676",
                "262994614324413340910665757351278400757",
                "21040011535511315241127567720254855229",
                "84009934387865821708669260134006874128",
                "337078956739601927531856197206732227041",
                "101829510508614528258704031271201031496",
                "327993810384250359476122239300071164905",
                "311497868179018014828522161198482128458",
                "304529552754634620815404979974061229792",
                "150195365709545978192956753648299697080",
                "162763357243179432712985001747332221657",
                "201438039558849253509911447483860326911",
                "27902739274702828649873295681471841849",
                "314809546774493951248498615175693672958",
                "265284235546237335512588399986511532003",
                "215844067627834226609250952144942176096",
                "240361735174826491767603296074022541383",
                "119778634786719597547336187150733821988",
                "242750960582251660335693321179087063905",
                "281321757565577776186283591649672239509",
                "318177056369205882695371310293545944110",
                "55311978271851669048967227231676439977",
                "300941997220272684688107088703877621782",
                "146943750186830306045631566924270992815",
                "147229383506132523725833396404895428694",
                "49008266514165425648583468686372774007",
                "320243101691168578603039235823302333426",
                "113632086144865641457393138556546373400",
                "314441102427939149190944522662311816913",
                "115179432471495024985062366585125273079",
                "180964916872262690858630007541800904002",
                "197900005630354519184605980303348738433",
                "145844183383372699861131328008934275399",
                "258654239237233289022896030927183605715",
                "195456705740667434357002961277240072800",
                "58391424218614682287837982630640894102",
                "158916690185919573555634680759865131851",
                "219736554575388303555094236533378560794",
                "232704136403538410914494605128321530896",
                "183981827485271717726230858503722286949",
                "325846428874277707910663635201058310808",
                "259932007960516006197826472023765200392",
                "311073858351812515032910106455614274262",
                "16865448521552984427065194586665952043",
                "18541915490055460463144920682214130697",
                "202718573237805625310885369337161252900",
                "120270763688754102207986856498246162284",
                "18554679362345187001301220594949354136",
                "135743241539294781270481709658746100692",
                "165356122972751223780235600461959329558",
                "94290480435133580293601160706366320990",
                "194046232717570718831540257046832373919",
                "239089833556813630740348227569192940437",
                "297833529058211311576946446881516099006",
                "260608190426768504875337380076952337940",
                "158170182175641564066725860079854566325",
                "4019728087499275559759006833659709839",
                "268445444495659549469639649968845563116",
                "180706621451455729367643550519844828219",
                "299322497816374841077257585392583099224",
                "243056869630327753701366583791233946755",
                "200716571442426702769211003026631934494",
                "115552271657754498739273369510559597962",
                "91400437529889450315299426027439397632",
                "265802473254471671953272305626810515328",
                "205763130411919343892211491210029239595",
                "89456037820840286254575503324438064992",
                "111074310227817600940902890515665334859",
                "202733135105988308137841696187581794486",
                "173265522521560867492346643105672684246",
                "272342694890630184432503507268343169431",
                "195946115369865067013309706557770762185",
                "321025013055391954412060966184445946696",
                "235590924577451413759016153664095960454",
                "1806734561072243752208383426250605134",
                "145293870011467394616420926587478828400",
                "332321545579664846672447863232688477458",
                "148080260094975806322959397360941204791",
                "219920427073899243391211289622255039374",
                "259089314465457068707019661878960060688",
                "9991097936214303112246549551518462440",
                "7198281739393196057277802763307703132",
                "15622712601018327376515640677748106910",
                "196482313680753701951869732329165903620",
                "153110350550020427045937468665395300141",
                "100586552810744060072743884831525268472",
                "315737550989512693039513874153794946357",
                "54209017686426725042525349500881003660",
                "27319631855470999258553135617536372477",
                "1699852253992189375505481132594273248",
                "19554010681978740628761200210929788249",
                "93449290489094598000309847663148019267",
                "294007673392227172258901185571244607294",
                "272911556915113809842541769173611044221",
                "242147658461528844971819893131637311035",
                "260066417820396700836995214378916329011",
                "133119657396077181507990287532901475263",
                "227090678183643515098421067476226213066",
                "78320658684022372190238741542394999037",
                "207373546116920470420384326949431775558",
                "68039979366395940573350915917579329279",
                "129175880700152189412478115635763345345",
                "314362186653695266019392043215282396756",
                "128623215647682966763874547476515953331",
                "258896859786819891091711451002502170957",
                "324450981707406544789730033263361576082",
                "267989473138723199687781623779481013476",
                "273223145438990231627521522818722623914",
                "37176764408313549038254331410023981823",
                "338787925947179125512569540345137440987",
                "134982968019739006239332655253483189521",
                "33333617899854628601721903433418097411",
                "292706945984523515332080719324458112668",
                "144537869596775174243696399838966110794",
                "301758567909686041372179619896978475785",
                "71400594774029631013648738708979604923",
                "119596497645133879669478609871544608677",
                "189099466122303876769584863557620016613",
                "271572096417413617478347337337099296586",
                "144980663618022897417372216751626748349",
                "260710704211880613039519449790289440880",
                "169459701401159502529256397000176195052",
                "254289677387407358095331346652330375805",
                "236047145944094809394007895221523984365",
                "231864799015802262694605859470630521679",
                "190313837651547543732694156122991754390",
                "76585198276086900467720762704890199869",
                "190583193552690470984796754858127054342",
                "192295757272785924824240292725400760124",
                "298354726094826173569684264287605002927",
                "123630333714644847854209070606294045650",
                "329270183798599885409435829206128469627",
                "280505832904027591911990655528218419472",
                "336607177768682128186418774600570934622",
                "242671631319734649752291341975106437192",
                "214477295405305203884825186386439371044",
                "136984672383728928405627265944411773208",
                "40640750831196943193305269785534324191",
                "46910388079215373390848059890303080887",
                "5252242457337705406087832031045711475",
                "302353251473158309745220672340625646833",
                "70873368236096388341378386790315215456",
                "309428189646034870861109034068653256657",
                "74883798862296401312084077680158942393",
                "190044248956328972249705006152270993211",
                "199217965382505343584872464322926527283",
                "22788493173145634027155985001551821129",
                "255982813979681678293529010967743017579",
                "138536918445010139287125700672775190624",
                "233914025758773637784064630417457556772",
                "336641427784558701372975255829338942972",
                "63130345715750518885907040792505705936",
                "58658898026327243395348160240829526651",
                "101616340062783273588572707077262971153",
                "64052529622049212100329889332969831405",
                "231560367268440623165163985427945554748",
                "50855554089389003778729746821989731920",
                "193727249306835864775939133768131207861",
                "177722956073962838556888153332130148238",
                "175291560899712629223122696130274241714",
                "132524067215337836339205843038732651879",
                "5356365066970590128797648307210439552",
                "170416437691301281607377754082587777833",
                "173834082875525138074418529851581610179",
                "210817084315249854569522362214304647099"
            ]
        },
        "id": "CVE-2025-52484-e05befe1",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "262494179003958152207956999516766129715",
            "length": 42042.0
        },
        "id": "CVE-2025-52484-e171b1bd",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_16"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "42508594765376746226903456287216328636",
            "length": 39960.0
        },
        "id": "CVE-2025-52484-e2dc25d3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "35766643876098773642595122738188743604",
            "length": 936.0
        },
        "id": "CVE-2025-52484-e69c8ed9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRLI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "12813488053075171503171518524275492027",
                "44877982516666554627878770164250051087",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "327345808198433363612486199099320573085",
                "290244699032707107026824727755730496125",
                "234617580768832284642432360240971451093",
                "166207064536371314831253196024790661585",
                "90377056197031754443961052908398815556",
                "145898635975834150790794615727201075210",
                "34153779385762998911118664723532667057",
                "57284408591668527721548876786747916578",
                "262538870065771228332383004286304596580",
                "88312538947833597049517799303648323181",
                "65628039336762840494405279244931847203",
                "165653957731602772907387623529279450790",
                "106038272025496142022529146664832719022",
                "257788864932331970432692932900715892872",
                "119249201497599096250308218638549071940",
                "131732983758068985828148381082495738747",
                "319648204470228050345464332880869355346",
                "100483397002185617358475642411624643868",
                "11894483712451327399787167494517313823",
                "21732654110655884606985628382011738777",
                "260382423556117664316914890412670056722",
                "174723159499825139463253442746125017118",
                "197070025239865412537490575833295980195",
                "62383009055255344916280731600010845186",
                "252585916483657299140867203956552743266",
                "207835094282903325272471514891299882155",
                "175374586615263432395164658337371144996",
                "334334419849154873646919494136560127077",
                "286628011069813641612287795941074911021",
                "222581849173620289803504043534988083531",
                "1474316695877182269972681769985120849",
                "28741894509064326032223771681171806451",
                "84397390540635435452002551973728942178",
                "337356286674681979253580936286985329864",
                "257058414696423034034361279556248601030",
                "129423639894171067720927031016992307548",
                "96069389525251805151656806813911185614",
                "82581938034124105157621407174767403830",
                "147563334508532364211875619522643794285",
                "272169268689796372688623053464815453863",
                "121297234179407723055563604488849120240",
                "206391912989071121237422281475995407787",
                "315710961640974912394959369886687649935",
                "219707717349837087501392488757777144952",
                "304557638863903406605327519391591370834",
                "230305382853678170283150404666300788654",
                "200092937923263466135964880523342805057",
                "203173464199864269372696967706453945703",
                "165778512415660031308389953423545760963",
                "84569701937643027114044831880753640167",
                "244271514700153675843790190038802714160",
                "105812856944751256073991075402396075469",
                "290606029055710165947591326251291612345",
                "248896227198741797218628251650216746040",
                "236801787075142880259640975836461411997",
                "174779015572650093015938274995555154346",
                "309593860042043944028821120292992887331",
                "79055773184223883842889339324514531157",
                "166665096118278200929939388352785931738",
                "340073037389827633502270139512963517738",
                "24087966442392907576364782710714165973",
                "217643318907366014287210648012764692974",
                "306662472225995554466664578026416443726",
                "38567710096772505175359393995592939232",
                "144299338373544709894295132057124994201",
                "93789762807343956546665625146856093979",
                "217977632077801470579869761358338984615",
                "319041727451272426137052563918850806072",
                "281506482028382617175541325117237565005",
                "138797593988467585154907279318485172069",
                "35499040028949134494526664374947679205",
                "57072324507012591278857392557955331930",
                "180218159342707013482379606251630037023",
                "137211109418194771255659223853387525474",
                "62679388232453475037829527156749904181",
                "317308274524342276053208261436912825456",
                "316593678840460462271492842069384830646",
                "308223860064627149007088252798637601596",
                "98890864817484353456409795388943609895",
                "264280387540957232997251239000800820766",
                "112986984656356330621221358034911672956",
                "173580573597103490679838186641228162987",
                "247595485853245439791668032912082627510",
                "64156228146485087247968352300851204024",
                "318080499613389696342376651401822968691",
                "138423706468635519333473427214925117190",
                "261294603263758879963444642853181184482",
                "195145930262412517546518601790119654881",
                "297109977175623050422757981356795453198",
                "124141700396990465401180285807293575491",
                "99037543380354110354813856217113785484",
                "253867400309852293549794662445898601598",
                "134970927521206517557155535335029352836",
                "81174659333894542824752667965901087716",
                "304643067777694888169425132311092598963",
                "61393484567337450640205888283562210503",
                "338046048422045866274384250858762890746",
                "321398589762181236629014616481429741336",
                "199633381431730421237387666343227273826",
                "47849838209759260990500435800317201334",
                "93418164084151247370440974272826624085",
                "317371859270161367992543427635703258472",
                "114244631395561536076752055325409914013",
                "148508937434475975978931694631916133436",
                "131021983302201154469945367342419414635",
                "119963374256350689118038084304305515558",
                "327172880018583413619890698586357282174",
                "222445600991632065785444064283421285707",
                "5384180240568837254625287957358573180",
                "281752092620089120561733556255164453919",
                "180836707043062230737981861029485148066",
                "263386305191522335620944703028429648151",
                "189453493142088195676228970931702270453",
                "274123547930189672200011312020642832939",
                "199437510636671384806792301567502010424",
                "97787645969781561459380226751189629149",
                "212535102368122491110088904098075894655",
                "332562438543155371306722480516041610492",
                "196031640762262898774640409068732133108",
                "214985685482233096381651243366781421518",
                "147714152421798562785773212946629160552",
                "98911684608983365708399730948815529918",
                "221977948535848173558929393675690445657",
                "29653750314020887380037183995447650227",
                "170502179898263667847779144045154757087",
                "65404098580770402036932912257065943911",
                "215943936444130607183081688505039182749",
                "286646938441090293135743483426233342699",
                "98991603519505527926448100784848233091",
                "330598299019209420485707624885165198517",
                "59874433634175070318479563505274226521",
                "182839714633254602393439772714905559465",
                "319694311918261598151415210159128739059",
                "299249668574876090173610642812991210607",
                "190267023027932013221164789893305468000",
                "61245530586873808947137267688556952911",
                "51795907990329132083761313185966742791",
                "110875852957389141125290695887449130090",
                "132578044809341509800758510177633429733",
                "330456395435900574533197244154204364956",
                "293548155565510779830070327960714748348",
                "329487026556138524119499009918474696980",
                "147102541380497879027874540207627850789",
                "247826676954529275022161916089102291553",
                "142555300593192804975672281486331619345",
                "138127411787986544673701854379107341560",
                "265052693698119253568654223918056913329",
                "143884111932424513131019560240553698036",
                "151074528839948506950008963778371320264",
                "17824493118824463501434760095650057346",
                "273077546800265624001216178160038153903",
                "133858856962870927859601904703343566536",
                "22012164742702702746602764259442249825",
                "339255269121765734508736961593098513462",
                "74922319791767491897671125248843376283",
                "876992429040180348593191981127681821",
                "177349963300793106466438610261323606466",
                "18631175576651909800291096463145204125",
                "37169663288032627360074251875841212427",
                "557453382314737010271290385446975877",
                "78044717603952675807472264555242432693",
                "20089270791078096852164827373735722411",
                "197840129910728648794075207706263576620",
                "310612560930892459333377283435180395191",
                "35809731568706372605488377468419188847",
                "126833214105934693353355819918187552432",
                "250234170655322684662151526209904301462",
                "253250127658154560246848295167124298420",
                "2965127127942483372213455660182193783",
                "185444857929376777361272786431221621871",
                "56340277893847129057949246671426038196",
                "299971451399983303875730854613171674138",
                "239910920104786026063678732492173696715",
                "55933924408838734653187406231857102940",
                "288846318026902864838012878755937867142",
                "236957290844490913525393755743195781731",
                "175825325202257117069408253744780736569",
                "154691556299729964639122896876486375623",
                "11116389286558934984699762024617160898",
                "252839345754139044083088631701221340380",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "66829985047198941670527981004377860381",
                "91138680865276786094592837313573468534",
                "237848800845396607515665231088013987759",
                "34533207841781618503610915902933405666",
                "207050470041867178498404705338693324742",
                "288548512797514375147810357447509544413",
                "277453372978024050267231628137135221115",
                "326223243152791046596660730497278569792",
                "152970336847741985876928902127909553149",
                "46168874162663575594624565775984660733",
                "249060858819926038347673257875713680809",
                "324529703545167943887605775116554023235",
                "17801317773625251211016601500957526289",
                "93153927971653918612651231751581268115",
                "221029017059050142517228093813180501256",
                "4430003665942662694341710546627528349",
                "1289666282747264832517357572794874405",
                "114614715916592254961504149477227687026",
                "15988421560201104864858552771771018009",
                "38321661543172334905480272628948525412",
                "273591504386667349546210855207783816946",
                "337168825387851791003643017608767922862",
                "58527058698005024145672136749277446430",
                "42968628122701397327004038226425724420",
                "214466386769822186421203832623534987871",
                "143109078333824011512435280877867277371",
                "44460927423636705151064508729539038198",
                "137984380841289129087010289294932061261",
                "21303317007129831601402943089777426944",
                "318358497013429959408165897777727446022",
                "287879912518053647659981810705039030201",
                "207418256114696085129723687554248196651",
                "280024136666565649034242662197708735998",
                "138242139883667802716365531600975167019",
                "189481198936517449174293614109951684981",
                "292267005627146049009670355773491674380",
                "68743526021385835109438374398568124034",
                "119805543341541917657351809271855834204",
                "233752914939346292144469352455146682347",
                "75795481095906923813098107885683156517",
                "289340716826973363397622431170650417963",
                "246106319705143671170388267800209834758",
                "227642180589404067482243361231818150055",
                "212115068921485600066241702558570661786",
                "144963669313361052360525074114951319126",
                "229804557422661179541331581797832473522",
                "31815047449194145620475202060223146223",
                "119090655812663754524997090990252927189",
                "326656726104806785426523325421752221755",
                "296190200014238567534747113905595063381",
                "244235831573088950633793121232755929387",
                "208161987002069758136758456559003293513",
                "88163954334835380509437453044926748577",
                "254747825666519323420587931476038406430",
                "200251319832090073968228867615404270177",
                "51723327681414282099816539215887432698",
                "118945821074510648956905497528394483246",
                "237876998015628255012466786339461948578",
                "95773894217290552912526676000926404190",
                "298167263587247736880521943946921187976",
                "116205195329320234027541501698259682699",
                "142825503944198397811921726208489252811",
                "321522811020343483271146674263251536984",
                "115024363050043795698699988421548045104",
                "203693572931383490958778296591868538888",
                "146879686429111725964098176649278187120",
                "303451549340089131557553527642123312931",
                "80347702203637617689231627114126555035",
                "200290849724115555338603325846263583211",
                "230285489794203620086143645314604164765",
                "211706604846930477593769484301450543724",
                "222101884574721844349526740353130640404",
                "131668718134521009690344728688682757805",
                "52566414894113307289016230355661099624",
                "28827620514460205812547354003139962750",
                "169455631354399360462904608827858168542",
                "167886273035042582539302034635600696245",
                "15960145971442266205067395346945002739",
                "171512589781922268814191414788218055037",
                "278232928567852908843742526172818538382",
                "55745969861115214666195996438330263786",
                "120511588233935466199815724810948983377",
                "184409286019443482548376332570428596361",
                "126753340379579461667614186642380147174",
                "111466938904711874361170298557485023421",
                "140756054043011183729269226491578288586",
                "225908055596464944577988665899445471323",
                "301511166396282513639714327922163938027",
                "34893641090327110240951604473372883415",
                "263546551330724567909632945577763645320",
                "173086573272274475664304086346895048418",
                "181298243801784474814505177043407973847",
                "125982223913944725165709497740363731020",
                "194167008932279301925333969423108213961",
                "279541997400323677641568053015507865996",
                "193159489417285182119955760252812252690",
                "92088914042107503344823389572650619260",
                "257922177469972078284334539878928771136",
                "69179784250383326265585315382124178798",
                "167427082225870164132494577575515436804",
                "111584752677709253808022785532725684240",
                "201739783158610454433518883846046268691",
                "47838024407686397629351518790353405050",
                "275705807261210707117597725933852433029",
                "110634264651292147545189971259735812741",
                "114532185982892509699942454834644498083",
                "7949576757171002209543284518781164024",
                "201686846616631326853051363528222009743",
                "331562517615839193236651400733652135518",
                "333501656180023429061147229595161776275",
                "195279851449295820434015801717034478350",
                "119162574065098266966588128422548791602",
                "171281515978218756201602894545970435184",
                "111373194234510484819304391576420737287",
                "200129816564154625410141424343918942339",
                "207621185993276169620854914388661128933",
                "260848116019890890962890048667445080199",
                "288922751008124859791920078302860598629",
                "20985363093538306267736033106736245783",
                "46635117026598409630149870446364800496",
                "169877506497444923864011708098961498214",
                "146486868220658649456116702235270433966",
                "297649076670920045457462450589171664528",
                "86946607803799451849382972882510586568",
                "262834959396911258993428969964159299730",
                "279422264169210997483209145236928828588",
                "79142255041405753562882046167711896622",
                "247294295290573849785655464218871567164",
                "23167473474245688941657349231899593252",
                "410814240383044609848616111224718712",
                "209664115596706952968360274892511595135",
                "100573227042709814985482316787056294666",
                "136400683385798128286719503679215988424",
                "42639009922821887391325397188830324794",
                "33356015086948924677306321236031818366",
                "180928608229108157645456166729789561718",
                "225051166457829208986762643964928474789",
                "72560012989005060252050453599666806771",
                "183715792111372229397971309838630674754",
                "29405134674947948028575538312155535624",
                "129780852864190124463927227124184609336",
                "160617611278364885716124528449086669465",
                "167829781847919998406097761894994029384",
                "325229382920754015501532714255296191406",
                "14929015873622529544868747298809171080",
                "203354694558721875786988863036177839949",
                "113423419950278215320289414353319861108",
                "269999160456369723494263900556383518813",
                "190727601915919796410105517785444495415",
                "134103544759393506838788707109232083608",
                "205104250223045305100324984251811822090",
                "282652447886923141159076208174834486304",
                "323136060216102843251432124029186876931",
                "105007174190785203061793508297715120153",
                "168590279337795477862166169546562027060",
                "51563659250771967934913577966706201740",
                "49022467555925692524998687345444710781",
                "283118166849377242399249302882313320530",
                "91706289219821880952388431389297921445",
                "202528170278903897719289868388078481974",
                "205104250223045305100324984251811822090",
                "28828771192525698130839660567327751428",
                "142454870378044274858387609976055382817",
                "44958579103953368887025398626724985460",
                "290325146690867256128527603041893682552",
                "310349616017058021852605953690270370823",
                "260607644516356795925542294628301643670",
                "336071971507117342571266269911764797033",
                "76876751292121210011411116639718023434",
                "11977903989846922469278113928766191259",
                "205104250223045305100324984251811822090",
                "339813329342562835657368819426144353764",
                "130383169439671288273140706853238111320",
                "26717967443687563935969522445987694015",
                "209072802266059738288038666542252972784",
                "19860215795163639595990602104273983970",
                "335979035489703125972197420673177369523",
                "17488271715453554968805837163929646357",
                "158241776156831203380897164492229765332",
                "309749267963370103910956803236423030077",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "280370451747856586571303727883399081264",
                "233871420510623279198986081732680960200",
                "130302828024095566340878384053553882978",
                "215712402938483903836933192900279678158",
                "49490925502687436795317554113769029988",
                "322240061633377560646082779095777113206",
                "32820911101499281331512890567123146514",
                "295396773933422629762628375023440126441",
                "195117021166936156621743436538894573603",
                "72044849732348778469523827564248553231",
                "305772964292375631698100061574698313489",
                "244296457680852434619809509828539354973",
                "200064077164563555731069644633879406104",
                "224173103278060554306734260097377976880",
                "14478887778912604597464569557534392148",
                "311259289421855993463728829025056404403",
                "250918092874223743517562023798910260329",
                "170868747400977317844744414265290504120",
                "321045171065471324471096460428556662203",
                "103841539297108605235663820175005183834",
                "102527212115968902342049690988830751149",
                "56273913562096768950935771970558584687",
                "249643503398166807777296515602818097460",
                "100861228497055512334298927850895251170",
                "334200287904957215176042931085585708944",
                "199072285596944346262483349225288608577",
                "160285589000056676478158571879182653051",
                "339186247883603545228340894556722205389",
                "300628774794370917073724242013094891486",
                "19827483989365295132341295555347802811",
                "41660341219221461288051542033421076300",
                "119931025346334765595270760991958183003",
                "289484721734420254224571616112211428453",
                "324190148748108690329203519851366926694",
                "282745125573140260496691574161100515069",
                "118463998542140801573191045247450935705",
                "287188382763142862705205528827721962611",
                "148437265869009556421958419837862668497",
                "4050091372102025472024908668558607911",
                "111358911905024388153745519259228818857",
                "209906211787066654285882625430199735267",
                "136215020402217258833901132235478015717",
                "326937123962731040211124808815068334745",
                "291088423072232390534912802594147487529",
                "104976959131613895463297901351169581226",
                "205064595949084810887729791256549780192",
                "182786952015860275566143839942882127593",
                "61400228628132970842038404506713231519",
                "64943426193875293806930209824711077068",
                "254597560733682763205682799670875346772",
                "121796727989667702867618644221064103351",
                "290697644341204132241281833305987777440",
                "198902094450740583343308670902976707664",
                "133909925137628780781536109000164601903",
                "245709869361393587031983361979914873193",
                "33302245067928564523743256399696228766",
                "109620758775373457222588378354044663929",
                "190849766016810668624963682360588400533",
                "115226483342611799380477112270369373828",
                "83943749145695852637270920800925503240",
                "238978758878102614204569046569779495633",
                "172908463551460013831603305299063066877",
                "266127570911947128235688098001103264002",
                "99136743005836226383218484167902320770",
                "198546950970228054855564109632120669322",
                "208190012092996069411314260899989480387",
                "324964444644085918630386285316225676710",
                "328677843068341207030262462926086751352",
                "146772160032717144193417533971251386092",
                "124638124564299242166724503885142781710",
                "322114525539005172539584420642224294280",
                "172828095180514270916701571993734605632",
                "59129036115533587541781965670135825714",
                "101501431266523628455385465426310469597",
                "60031612551765395019256264278359381550",
                "146384604465436697759577947726987800173",
                "160158513708289376265169510261895554884",
                "56454184645055953168770401941866077437",
                "72479653315212545668971539946356666457",
                "107962432534249165398087093992047501344",
                "159296379109653863556423167267005529287",
                "206700826640243552324945787368550274862",
                "6590640923811282571118256654733425714",
                "32371293572841786149702165995357825720",
                "93071759505228954654792882941069381748",
                "64344111006150649429737498866766553968",
                "12834507859377949436089271295307974898",
                "189888351512451760770308691969711837475",
                "336407454255167980090769588466005468886",
                "160321544760078117896398890822941283712",
                "190033763070836271640958457071438509852",
                "83075902453761139810587572040661755946",
                "162196133841386752614846796035371558124",
                "106838643607038481258655313820373808734",
                "284371739866100266987852891861278092132",
                "311447977341845452391052856941607230316",
                "139186537507694023257196467621835854428",
                "52832597204802095151448332089755626663",
                "158315854865831534668430160573871988606",
                "54440814116094007790822656854923310762",
                "119444911312587931613970147524358373262",
                "228394824698977293533249109724483781305",
                "11658358580322582355393019092195969543",
                "260155794881882828248222923966575514955",
                "179724527216819067147616461685459850366",
                "197889356913479476875391713990515265044",
                "210827795573396164767485908274837895903",
                "107731910129018487755304472803998363929",
                "105677497305579997242464430362775034871",
                "171000604741976611832343057598507656892",
                "140789361388505249147549493346734682645",
                "301731041203806262780526893501325297959",
                "234882338328087368594376887531547006515",
                "48796587304753136023549422288145694122",
                "34602886628102215671837368354650025348",
                "116986361108338796997057779292162941423",
                "220299117029236296952762083575986618320",
                "324916090641406259037145953082516823697",
                "63319848088731879862884172650728422821",
                "131999359574601342797284379007345676274",
                "254534103910278955574204006497647575953",
                "87049924278055250811597351973588232157",
                "328864076341519889056894925291699007620",
                "96633450294189781636361723216579117195",
                "4850921397280620784033707503114371582",
                "149760456916790571574826354715973818315",
                "10906218199276448976952394141829456843",
                "302526606173863641718937759863006482432",
                "154467555662228754938925119639041053605",
                "69087761182492149784721476690911130634",
                "174811996821278548822985941127492207784",
                "208401707205465842907756773666209784603",
                "242735141676296879365179681138106247788",
                "204820502985640919769301948930275137260",
                "13885010559372081654767838497945550732",
                "290444709445190773449411871786447713391",
                "252755369618791320888339745509285478834",
                "333718127412925413215057271660784488310",
                "48703956783428948456539858411715679027",
                "195951333778355061620663603786669917061",
                "195166324124845741204011302977098674377",
                "143625149664117216105349514845626931358",
                "90809915191994903444969282205445592674",
                "205104250223045305100324984251811822090",
                "60859781645385107990155050453850449399",
                "295507960697572047667665949105877563319",
                "244162657627901814820784489733743930681",
                "96689692808766590263168419127062991855",
                "228537991663356904450959580630256382198",
                "58230192670274707684386958968020963661",
                "220365562566594895422035531154611983794",
                "58012208745507741492762297137532330368",
                "205104250223045305100324984251811822090",
                "175745147428510737470646828728766368598",
                "237656620400039650637655707917387715084",
                "309139205753451535496449391147940519126",
                "210070629762044900717275606798417896573",
                "333904127156188763731305158292345013781",
                "76834412942263742852295009837764600328",
                "45054983779901935724694510164692466426",
                "214533051652205933091533067568037985755",
                "205104250223045305100324984251811822090",
                "24217160550262913105225673224250286062",
                "261393298491357796789367103720856592424",
                "328445865003389659210999841565836188246",
                "65102097742022328285905599333328496581",
                "289062975544437797612182249129148382436",
                "136107037780832161984094003223448980646",
                "103343397216240891307887278162985380352",
                "188651133356178877427333511909273856339",
                "376738758239609769742776471866106651",
                "131511029726052288968846100711507712104",
                "148727573422922999638623114836214236725",
                "281811247004024184905648798122196393457",
                "92550367870382018642165657687609620862",
                "328702413299315489269505893843335427983",
                "31123478154376974615272386740758369561",
                "261698341696605803783391057742509255307",
                "278624014675307240582375497028816507437",
                "32657729120459166443339623875731029308",
                "103192928656901071590636869629064440499",
                "188276589837480007082863004946274538696",
                "262037080933601073291246368519142244303",
                "305772964292375631698100061574698313489",
                "90495004074696248080542765350157069974",
                "273789233783095591990129961546328500597",
                "149285256250150326807235283385510094212",
                "324565890704444863318234567604689357047",
                "247568734268089134862820319026124149995",
                "320376466370416419671022601354006819320",
                "224381111912726973465631401075389585752",
                "70314083466465200912027395945508519471",
                "244802121054340263628251867881659066237",
                "243577015918956218008978108891923526420",
                "248503713712796289026801481083215680250",
                "254693647441235559968700708539378379136",
                "135095465618527043226587108939512324789",
                "161786395126456801911021513745836402103",
                "74250889850860129734588928582093913397",
                "187901576856726037015128765735441335507",
                "104819036881235872663162102023446860289",
                "323609864461448700105495203201477043627",
                "306302269449215564584574710420403963415",
                "304009574840521205904318323326730907236",
                "167977788972897333837430916041144528572",
                "84209285230506102657527985043850015351",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "92408203316087084164920197402875446280",
                "270043756219509831988255440084602328376",
                "195375130528919396803851991794732474659",
                "101083449104929361849976131949931692858",
                "23380113620487843380001936596782940504",
                "214068601313343077259229457808075232711",
                "266559835652307381448778982486028415491",
                "2935580295858933586834254941974081106",
                "219620451880741313431451616426639082417",
                "148523558980470181084249511800014188365",
                "110800440673167511412439891198452423119",
                "23770959989429902515709987866963932401",
                "321386671226757685381560559041101789528",
                "34903858311098244022922308044858704517",
                "23245500802008296975895218954276705280",
                "36987016261074064979574222037146187983",
                "192144242080559492754983639443964339662",
                "10517556291708800501097563063854297408",
                "64016901244089895142711435901299392868",
                "326718074818130209419595741021045461072",
                "155841032135302546820360689294690631508",
                "176561216831012377175559816673987992704",
                "332576293785817955809698657085202476408",
                "295338785201640426008402763292033566840",
                "206093101501917737420485337760206174951",
                "138209443631216800617607605686263067277",
                "151749370441054512468477428665001421764",
                "102226455186090962789932649636874676734",
                "86365278112985965952278730690490734399",
                "100037812469097183902803203455388398447",
                "48052018340060063768811575275336987730",
                "83451513606284562276232471983037477962",
                "278347397986082323244370045002095955443",
                "120344996598040993891048064022608461042",
                "323636943049034204435654130620392768027",
                "115861067989884752671017272148603348396",
                "299577920347980917238005209588216733644",
                "12661326601660582350708216175894318252",
                "206791362162539255415440508901033636625",
                "114219311053047417463124802900276646087",
                "167853590285128241648426178595947788080",
                "71467530259039541874253557577320658084",
                "158924442957457487901454104686380689894",
                "109952509886662561310412767482144777702",
                "86625308019892719633330941361001263005",
                "263888993513814565305233985746066294113",
                "204118356102268635739619796280364838336",
                "253277958861004804495275575545967525364",
                "298685186682546645455346380754294827101",
                "215084473401495858986708309695488625806",
                "102190156038373987016096008356529960302",
                "11831671307180730198807626566927144638",
                "204757719562384989771072847518054426180",
                "322825559569819562072063415852151018214",
                "253861922097532192013060577106908433263",
                "264921305262554763458836283011941208580",
                "51959486768025280428293698940611559063",
                "232342420610562237863920659979875198469",
                "66409420589090606361090731880926999793",
                "178685574991327345422182250284473612260",
                "296068556315149923353687182686884075485",
                "170165751595480772338558758269554775342",
                "109821130955902855980669262143165184360",
                "101979690849967638979969555251162050090",
                "265118381881444602264651905228462481235",
                "64169947513522548290603897866871817754",
                "71215858680709829650707572522946533759",
                "141883701893378572489545972987119878039",
                "173307094648931071519370696964323086002",
                "207506989335139356086113889179863542540",
                "171502488075653329986085229935269781972",
                "14838116932567704160063781626772604633",
                "122024697978105504482869903317571793167",
                "56611485595912806843535714984329248388",
                "315681873639419038924958431088877032835",
                "266934626830984279584877947738996631352",
                "125222195846038391428272146908517732296",
                "32403099341856520558468796200172869929",
                "21788195640767436556043694884215480715",
                "202526460221752606130279818505043469046",
                "27480071008951023219524799042716859301",
                "73937967512063795625658165388497734716",
                "25976471606633671251505344786763080490",
                "245132947260979728315338414026723237594",
                "24596881553453085601548712246530242109",
                "111299240531903171859492179933988565697",
                "313210872978736528505850282457350093993",
                "33919142811854626679035423319091574608",
                "296607193402531270516687206554562270480",
                "640482606189599010166987511190301021",
                "272903619745411483610403685717303069593",
                "321204604341398972985538288167804712535",
                "98096683971851280591101186769029057858",
                "332574879055475749530276363799241492011",
                "266824249427872347005401975264412485893",
                "114824822756153012077442165982762374557",
                "320741031901078638499888031808025050452",
                "151803189687332971871446417772735277862",
                "292938838958158164287126772819415864775",
                "237799403328510978452373721515901660042",
                "288922751008124859791920078302860598629",
                "296040375700148826483574348280966002570",
                "286860019631074167725398583468731664758",
                "202165079236753444140293601411412168899",
                "309554795633255588567133691693549412583",
                "311142743977627583083862217273980538626",
                "120690323875473370026234364287071569043",
                "30660292801631932432906033593842612704",
                "37488279329155390923229802284950491910",
                "2348683227692889537365875641324690976",
                "201459128143694373733323111353007709611",
                "68316874142618406157853264994982001771",
                "212351565419157621667442389076530694718",
                "215529086046698400495773163320472789390",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "104109104612253244043165041582845831416",
                "271564134949092438748352792269149139373",
                "65128041570489465716188913084054398526",
                "106700627055588538343746138112116290419",
                "104458198833905166736606657503113768749",
                "216395799871024758433084343376698795027",
                "33369739418448266314196485342809581543",
                "111768557897940040505911578614108948090",
                "26103081454106944843866391575662899428",
                "105825159681680124751938502353232660236",
                "233053508632831252120861201409638667788",
                "261653855811795640736908142398549062610",
                "147060593675533347441707711358662132587",
                "299935072552231235057377274825917995646",
                "76498054306139758457359468878786941637",
                "204272978014719225250489271482391969283",
                "167710052517412766277396705186207723542",
                "166922091057497843109025946255115198105",
                "243535835787248856813770126137322911821",
                "77386711620587190279208732689653315867",
                "251589423988255684801739256492067390856",
                "294364928644815221368252846212289076518",
                "95069295877017604928074624344152611496",
                "147606106767398498839409749420186718760",
                "203741440600277907382258706095194213765",
                "98058457508249222476772914847528030593",
                "84799027118414136597732533660605916521",
                "165754058726796182831968246188169698493",
                "6161578685365537882648625019181998905",
                "129492827432525580083359569931046855263",
                "100974950822675190346125031574177458795",
                "25972430298965804402466880779791548422",
                "132449509502269450434908922752847543195",
                "278092209477695392529143006021345902858",
                "160357068656143376484033381242469581806",
                "164641418467649862805727581536063384612",
                "82045807676074293712525424439991933212",
                "114307006202239491307439053377920328823",
                "290652998196605520222698298706756499950",
                "121134047639653608330111552509965751929",
                "171103960841422116058437975924548696545",
                "177302859830634877789348981619538412647",
                "99437849868166680341859001066825672335",
                "189517146610879225501034049743927931272",
                "295512726953902212198364598678584651974",
                "48968667332141768430925386923638182227",
                "107095701084875128448583727913311878206",
                "4870572664194178097909187945772475256",
                "92048409062418930937894080735192041985",
                "124875152416394846872529747692655442936",
                "334739080859485155837454486380087339031",
                "173452598811320707777612863429556064911",
                "8148125141766086220731726688951334515",
                "280343574671493498194600016913724336650",
                "115773271372936854578675629615129541837",
                "225690251165985384700489698287884484427",
                "327355997177894933927233383031396929967",
                "223352287543361377906213947896041616038",
                "55414261715368167465935825399892075846",
                "229440233726364073883383364956449515166",
                "213936242795173844786063414289209365717",
                "110989705088532264070402520917397158739",
                "302264643357182116377491038322359869659",
                "2532622970714970075639437052786426274",
                "253311786937562631814577490831915394542",
                "126623239839853179314860918245124921385",
                "11660579361242292465858520895561326202",
                "96851075536505408414428192959965340770",
                "237414589199522720236422338819020139702",
                "239483228525125477989203240610726930057",
                "49069773456227712997460039495844880233",
                "41085773929193745921486203903145639143",
                "77024826343777122068615540842250004445",
                "9095192120974717864848072429722444987",
                "333030855870326741151800918377714651350",
                "81659858800017928671670327698700357980",
                "289593309408367247057357163222210221499",
                "200135729936617669186186541019147351857",
                "269558901990383665471192290527021984205",
                "129479023610516853014764987542600180682",
                "162850790302732703235680411570718134261",
                "224918123753562793838598884519199718467",
                "123429249234685001680459161099348696461",
                "144356765734629410173161808278432364587",
                "276197002004859947663506680347005853177",
                "33086073095062602139586635936614224511",
                "56176573731182952305685524887633520985",
                "299016254596469793160419751190049552833",
                "204529890838593992374481238866952928802",
                "122039572576774796639609831380242377221",
                "275748357993877142515847750692481603350",
                "178224102361865068603686523296578426875",
                "279333908070200244671999937039423327861",
                "235188552416180899302128011099295981017",
                "77720066869031803527622752401631599131",
                "235745705735041976959778396274007986246",
                "84734210385643574429777260536356704339",
                "232164696955861833009089581200755332467",
                "126914662282138295247986801575915202304",
                "295306530914325774186109133170090612595",
                "208155606231244872648097430394549234307",
                "54753535461295878323446812453662907957",
                "88073454556244851829293431608805222509",
                "11077103107265067181379714836018955620",
                "41049528479034537243907992290684994008",
                "117949520488038231622594358656356088450",
                "217990059007577342534638813393291989011",
                "335079838997063876039124460567058704753",
                "195591096707555948195947929955458049070",
                "304171966572329255304640809413957168227",
                "153351230454052103289496487489288210967",
                "49364783964805733564918105153777461174",
                "265443837186344002630198056517222405834",
                "308526948574984803867110930229973307494",
                "18481225937036913396386791678033136370",
                "294884724472221559375795951224956497275",
                "42278371347178708009624575993309657656",
                "69414035230276079459092772404466233723",
                "241715335812582208378553984130795976590",
                "297259161151866265476865293078940836923",
                "298969641132574913124980569845274790451",
                "7164124845673402374740278952896442891",
                "237965279526465521931827190405693966849",
                "31393652996836584194334959202163671616",
                "279633561977516012351673139015885989541",
                "288926397186269818929756923730616349292",
                "310718454273341925085144876393400716960",
                "340058741510044373496810786687672702268",
                "125514116277391553086097225564057664435",
                "67098717646857231364784233276693777874",
                "99569460875074787754994919060815674827",
                "271615020520359046092946002731062703260",
                "174743750200005342104795173889393694502",
                "175183461407984866939427118840027102178",
                "125349489078414575175277753114462990354",
                "261397485590065699670729894843248162430",
                "102010594578797854062437293874604167550",
                "239104967661595731634580572815416033921",
                "252724189722181942298432002328935914557",
                "152116214382561580355414984587025980801",
                "337271278433680920671843586775197389178",
                "209542497953832422833817072755551851547",
                "232129539875925560980416286852103455277",
                "221899907705505294756895522161751681008",
                "114005721743128460642957762194008205560",
                "304530883348572415453544833447387642096",
                "332658628706629918867807015742851555619",
                "255801786684888531680713388922872348199",
                "53739505897729542698323999202470815952",
                "97836700488610708605178098190449124144",
                "3454448581804504387253890688391109422",
                "278490465246118416405411297718680175234",
                "298849014151173474605718837746256043072",
                "39761668231160247456183637014740230699",
                "313406425760642869628556679438880673285",
                "189927320355274728758443942669056033077",
                "70252659329854146123153405021340792359",
                "264015647469144183683185615199156988435",
                "157855875523537971248767950575299272079",
                "278484202873755372240372366008022673240",
                "205309196341585237068075554731330996913",
                "245474986705597590653029246263115292358",
                "255781862092758152018603334141554304743",
                "289026110604240553213839388281524725950",
                "19261233972113969284459773199818713248",
                "203849455159776469331787525019581373091",
                "180916306821447792807916365203848604178",
                "303150505031653787389269618745013831879",
                "158458083478978280768005216261973496690",
                "313820622292290471031884465792409036197",
                "14045488413769822902450172354288346752",
                "324503966358192281171640319057503333490",
                "90313582796397806205539190251566081694",
                "214880726651079056843010013674422890566",
                "62746640851814107166516435596582373842",
                "324235092965967430682003809097802694236",
                "233274594505565441601825624479043108256",
                "304075539678257279230255201123863837704",
                "6965594321646106477265283674762837431",
                "313929578448986140527603522115999053359",
                "212667625502896347258997476929459549450",
                "314563388845189547027440813843300380592",
                "74334109821656042717741342687081352156",
                "65144343525039503509472128312692858425",
                "319451213968799202061348506337361095359",
                "122218291808254113220364475579637586092",
                "227529968590095584161942813160916535410",
                "187680981398965864172743211866253072872",
                "264758522482303209356046991350571706330",
                "165921137033610823457480918855252842653",
                "1329929069024722269079944278437708690",
                "99464965110130092172834482536285790928",
                "19806819900272948394549089787556540032",
                "246204646477314339204067357450480578353",
                "904958053459442452232006105971276275",
                "4111339088319363653542260668174542812",
                "30588675485507489304368789834523445316",
                "223117531515195378435700831380536026704",
                "236397390616710810678906534101202042875",
                "110538814963897840777995992283667971334",
                "201242460323799739615914587980439973999",
                "25830552911171866434286238519859209757",
                "207956433140378858674371116163519237457",
                "240057039141166752038408947606123225635",
                "278489859873639615784816047003299353621",
                "149790609784871670934514086510613560743",
                "172370858210385069324912286993175528760",
                "268780749156645452508369237350442166479",
                "150162705758552337201460303090054306310",
                "220314498906652317860427199821482480973",
                "129021529729251313808021069345835940022",
                "88074689386874922064777178717952784885",
                "223710081118394766833560106218911974803",
                "94771738121328752540631749663205563514",
                "298283889644858858274671946504901079857",
                "330618354721500461758978922692426312679",
                "292094457011747254746175903591963019825",
                "74736204427107429291257781468888425824",
                "10783709296808448719442408000671963290",
                "249371947300571103565682771822649133445",
                "22025581017535180461323119557388397736",
                "49239699433801896592358865223333803313",
                "40579139437076298049717495950374296277",
                "66646295993315385006072723879971387257",
                "122626913607975269187974212783159166036",
                "324543726846747558083480026108747573104",
                "339101802926839482108209118572959534235",
                "151890768737970559888291395499144688845",
                "138855435733928099035223817804572127941",
                "333194367271622899572983439357985264213",
                "104649495733828543936681100780893436290",
                "172605237014454593976343050402203063585",
                "244147821249414567657380651900284398276",
                "308494451629229155003936183266730130700",
                "232726394149813061115252412584735987174",
                "157067045258845345310668198300777020579",
                "65884260399396321105735582460014943156",
                "108980190276597477528188882009720356324",
                "201988687452331104788574262969603296242",
                "92062910958967293731118465467869798988",
                "48449620354851086337276043503353592629",
                "333931863854308779640714067919970884344",
                "169941295965410269557096417851904809073",
                "219623452248277687926209619129545719923",
                "141920143916389572066101615287552428778",
                "286292294498676069549550333794414218853",
                "20106146884401135798233144086143683877",
                "140705366889503612459502697208766223102",
                "108360669292260546843741826080461735729",
                "167184188530258601507876420894256690823",
                "101375202920122525119826090412265928931",
                "250474500109255123390376448141707930586",
                "309900553216776916859157809920040188264",
                "134277890195165984303200226679482614158",
                "33795432604369654482744318334544509397",
                "249505314867363997041014080683905371386",
                "135472311370497460673101318958661086436",
                "130824903882892368775384758719724695664",
                "318931309605297071286077844941331839314",
                "9608376684740691147054492828217787415",
                "55811738561826515982075323535654470348",
                "283108316044541222180872646430347431873",
                "115443799728080972124533615287364257647",
                "233103222117659039581533825554192424246",
                "329920889219855062663611831766970224527",
                "191863174812755299058387255561520345466",
                "79607504612258272633572790063753806010",
                "258490040938542092467352749708138802405",
                "55738935657003502884759289185251490490",
                "339322480709146071927091476342115376448",
                "135754365742269027360240266535339784824",
                "196986700104237707079218344145145745929",
                "135336865890197548141241598924853767223",
                "221055393380480470469637541889192889569",
                "7615178878742393235123315314457023998",
                "317128148997861215766157328895394480312",
                "264223766139579331373185174421368160197",
                "272996678117380759798497631343218402661",
                "188601733994734690428012601738706050035",
                "27857063077915993265975224882715924698",
                "141953746372561930864298028493304219681",
                "284181824313385263479634016878197196288",
                "96660460193801322757532532577459951172",
                "11731693379166948715545237523404409512",
                "185128155430593779904224922559021196026",
                "296332989494403536036560043425366564202",
                "63555892491559822398262105555784990176",
                "311767003932682600070777470167247085407",
                "118340471800856440110915156857968056045",
                "172631872015168599488410242644913974727",
                "225792089556006875590072472854406875264",
                "300723608158037208387826878322394404566",
                "63232224980070613549195716464863587739",
                "114839781038332845115280667270086486860",
                "260397975992431031195341896153761263521",
                "297260441108647441713586754207636071714",
                "270661257804659054667376443742473984133",
                "32986828428132818046260202391382212320",
                "83894263491275119596240870551505222371",
                "213920669997488552360779844066840187061",
                "224652055606867374329598147915319387345",
                "147332604864821594144927660502298526817",
                "274174016358777972814675071994496253009",
                "82251596406379270765703125048394632494",
                "53605842960493902566714586897932832622",
                "185663482965308164932708297935350192424",
                "297081683458420236330638483088081473456",
                "84745681264940656941868380312701417227",
                "226654067050002286206357807378139618952",
                "55964045467529992034737829394038304696",
                "213810196083139666947914596963780953320",
                "335473308666372534040389909908941498959",
                "306445490258341383007148430186808350128",
                "121858872924706000012621186879524799947",
                "328042266502167979951818850977831632230",
                "90292854946967615223255687653631213296",
                "96090777729738797481463686217991292960",
                "31911589427630759293048562883339313250",
                "211798727558287059646492441562885246555",
                "151780894459392330881324268859671245664",
                "14030056952885328630269662188195678161",
                "41867135712025355402187293596768450167",
                "42448070432988437388590439740114273728",
                "119730369438857705620044958992220609210",
                "113428602941897886079254828136108543190",
                "210633997398611981316743618392472289629",
                "182278736878701386350598369389277988628",
                "11909916562733451663915626661733050738",
                "318886933640487737497962896769445484190",
                "310185893246243521268677215076538187707",
                "55959244433101235230604882830806844224",
                "318798422501385817513584127656673719847",
                "120118868656326014825240622936342096636",
                "176931786473512173168753393083325035702",
                "327694634655511081159636560583492606436",
                "95158033453524307092222177556412963697",
                "123873859634703752899884990289648929293",
                "233665738758258724519579763320167756452",
                "301209462940317645446975165226365468475",
                "20521031316079743088968108098323045861",
                "248065215195613916780094046642345339138",
                "129993998711034461901760368783488766360",
                "251028272778482239487563822192294576030",
                "183334574865171132342028278079904838239",
                "31089901749856905023067748077311156590",
                "85625883841690672884085635851268132482",
                "308045340318341688381414138195015758834",
                "184736949336470164400911379816676480429",
                "63651781357168533584961081967535121990",
                "63578754818627932226521879953575938492",
                "6415524519984602107368183732937742385",
                "210201443563177963303485620711050769442",
                "170510726889163632432962551833465566066",
                "195843646023472198456663921982966056685",
                "250237657164486735431262511239953327086",
                "103844684884674370181775977471573553882",
                "253879053050402051892215422532507994711",
                "193064099891257914211572363192317486680",
                "319992724866417512974157939744563702716",
                "307097278980456958927466265152674068387",
                "302349527006267241449532645654850823897",
                "1579337110693160110460677089534683627",
                "307865022929225672079786456805597538624",
                "337992331749552999929651716255538924152",
                "181245618813830236170233264595744599068",
                "256311462387584518936866641341320535428",
                "61154786727217708595277275607081435382",
                "307225721783423575972752952912238824305",
                "256969019825764391185613607412723062708",
                "220799204843744266474210504644965863340",
                "44043981467233152318327945337217185473",
                "135746782927759819928377460200705464096",
                "300314987492026804814053910088386411946",
                "149717138927769935292468827343212476552",
                "29611139143243536866278835796483095505",
                "271850065398617787696655286050094808561",
                "152120000730595591007504304524025127789",
                "102497239176183685270204317188730988483",
                "201944420239865635631341697717988755555",
                "68687288970089579723455239475364969901",
                "303089058286335637707911772310937524226",
                "173900069101519687097944811973734626276",
                "110212759556043446229395455480015236261",
                "223659363311441891788473791827464812878",
                "273716307841302003175994816378047276239",
                "86694846065646872604758290493827755228",
                "20457552928467688421099912792761847148",
                "183189836840812536702508516983863083808",
                "5529936949319675132027345859262492265",
                "97097296964927709312610122483726208954",
                "151058044470444267299115997061479299841",
                "204144037842798876788025391480407546784",
                "92747464793537971242964346557443191438",
                "172351989833252482003661421891935619224",
                "164055422729938116811771999993346543402",
                "131674252355612009532506423316341346737",
                "158212866697386293807559789971020890200",
                "291442320634463362051184720580691850843",
                "278397450887107991049883688515163202481",
                "5036407917685772273162474400168487937",
                "36581134203599306198144837879901231608",
                "16256382625883692853648043300462990577",
                "162910038535859527195970515871788179307",
                "77310759091067483041271121043685128466",
                "140705763503251795702439229152605533266",
                "242057176231975347080951428526916720434",
                "99191483624539931892368799785172379544",
                "79418946668849757627596275078290448588",
                "304557234021855492363447631824127694577",
                "111433071124222313191809620448260143289",
                "270066074813003913389429441644587965836",
                "3391742055134580938538122037592226481",
                "141063965867712770125654094281607208388",
                "303216461419391973271269759972235856458",
                "294555794391451446300293025700930015232",
                "84203490828387967216826172776226352208",
                "77301657772163894942840373301496837506",
                "227923782945680437052918718883534999933",
                "53221372048039578192532197109680825700",
                "153956441386027578878699066830509944747",
                "72764876453383475625811100785731146562",
                "99781758193576848420813479383588543327",
                "225320788255083358554268961638941527456",
                "97608040922805109420495239020656367005",
                "141089426273246842227731111759675510074",
                "75485648472397947657769595884888004301",
                "189593292015964750957665453445367253953",
                "10119317485716755554779481153771534223",
                "250136472216636751031949183560313310266",
                "26416420425450344029166094519368377789",
                "62004253234990428903296836727542102757",
                "159981326128405233949796328962894942779",
                "296094063944690224046082414452551703395",
                "285395113859008862300834002379679890073",
                "62578043942486746062620148603873230427",
                "311261039888252921883651242350739941859",
                "170710184228427302269848609151274433408",
                "327275254533908093460466547622716849772",
                "147682733961180414082234660443998456965",
                "37618679586726427514696676200238596592",
                "199093055808000317397216604464016144068",
                "123992964460971248984028626349241748987",
                "156502958083091637211271987530937274916",
                "240875593721645784459500128242920880953",
                "88250299122460943390258645728680585392",
                "52519277262914696257829354615654951592",
                "247663418834653697833329458692864006159",
                "141336326559418380403914664526558678497",
                "177220205348565315907407139741230460655",
                "188283026386779621444889547703573299044",
                "35215413245646530768409386645345474908",
                "82952401121422072884715660970037024973",
                "159694572972155851165216611288879311479",
                "333286041401126261159811250990494474885",
                "294600587964073861070071147594047424524",
                "174769804486691793265478017198840927769",
                "50576000322557139305265019076424259034",
                "308508687057886781269061874918352972156",
                "116835275724915876124017464652823806469",
                "119574510478956430764445968729381310967",
                "28699267278322320393425579452497732920",
                "60833768944412167602355466334352701761",
                "170277405892969993977526947862787735818",
                "12462399954410576485331476165702238513",
                "291764246494835090007072754568474151334",
                "88205235774211954350094544762694366478",
                "17772359792903332934671392537872529823",
                "186196238149307431717024042498750552558",
                "303577160225873264353604330282272771143",
                "320989966440690416958839442583197509078",
                "153966327476334380104112345907301538013",
                "234303166451981327403023559703553088986",
                "42982369631077378036154291100833825999",
                "89731181780057432983371038319450613171",
                "245971910735137061624088688208278574274",
                "256324998369812496955187439825821061143",
                "284828391179807961116962431896271536218",
                "251642763458951743118271510673312119556",
                "311430335797942128579433395042120024391",
                "263701101985578002908396575996191529499",
                "201407133943070266763959542197575583130",
                "180311409320756273284605973367950737839",
                "67016363793507235658624262981412064580",
                "282468519596113597562181067615623013828",
                "2373534267275602170972324537564068270",
                "293958709872056597868694628535520695767",
                "12732766610162613624560565832597328950",
                "291532209998163642075054402137899501883",
                "179553763862968407694288196127315303675",
                "258821049039673954250806772860878113004",
                "143355251016588371903251975760872988267",
                "263841927769015857229312852105909688933",
                "17053798328898054293640967276038471174",
                "68367290433967806404360607683884145930",
                "286914523620368618522982609922432850466",
                "234433158068067912316856697602799137618",
                "55842895421927716203561813182663590299",
                "107740013596117667427051932418639355030",
                "3957871490352119610953653414574324175",
                "145799478766637332891801198457290711315",
                "9337099291231516751242229645772348399",
                "244075093314240407263511419660632743938",
                "81270502727389674515084306962340446437",
                "125475079356034220892830734142689570716",
                "328558260141270317059171580778365424762",
                "192399951046670610086407216735625339192",
                "332877072565870657686720437074062278646",
                "315918336357484417063024698515761095309",
                "121446239902211609821422973367996929444",
                "211760393699435223574535433920686735729",
                "300197408220087951544111034317065291065",
                "271128348777864590669222794369633165050",
                "202986700356883814166917467321851471764",
                "257436865191018926783418138185513055750",
                "332304636858290262722601728224245946440",
                "295363375523649993199916933056043778906",
                "240109632604123002873394576547340795373",
                "306790941242562833902188734463265050497",
                "65302126106878044875751052832647131643",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "243998950251517745831996172421401312310",
                "38607225462040781346638588619529735628",
                "247686422600593753565911999684791859032",
                "256896353475435429688779753453660979409",
                "289080163246159013092028738421967533254",
                "253833075509294653780036067808213499455",
                "223400366422604547370819548900390506133",
                "111445313509729374482048778537283066599",
                "307791183538888333550721928758000252533",
                "237148629133173688468269593838907621634",
                "34113096850803817120108800375353420955",
                "299466920249243646962435728550790463389",
                "313109984632211747484893469479284759471",
                "168668750468312248362594441930305636699",
                "36201985066286712892432893029444625447",
                "44179157995839162045297922903866925240",
                "12571058667272480919793064762969999834",
                "94963098087350084456449738511641107393",
                "88872503102252330458429019926991680915",
                "315288856516691189113348868237593795058",
                "266101533260405738002157038131300478316",
                "122911246479106371879116342526159751585",
                "84708893640053443409251049030492089553",
                "273537683020124175534631095501447934541",
                "27156384546225218401249620647992050888",
                "130798594367209533694268904966707627283",
                "332279382668913905643570161227149117692",
                "125830188932023251710380360852850055573",
                "6854976264129927207882140799091119453",
                "123494082242937389068212216032791201332",
                "247289150735406892453637851105670341401",
                "330168609197578258762102318083057562644",
                "71953634846534556621822538497359123075",
                "208387858190910174708956926051170817924",
                "226468133409259791119119673894069340056",
                "37026751179532621782636005115592480723",
                "183824258879631768821950040117402874890",
                "337965284904311089845715738315647796878",
                "111576443165050070098415365142574709540",
                "290041898638063451281520426610104956450",
                "152005343360283627713886577825923018963",
                "148582829525496168161244584108573686845",
                "278319591702917612394656545455930164739",
                "33643861051058943310335495830807864290",
                "173521775767895724519780205380234487410",
                "163355640164781287266945138500240346985",
                "266179940283096355743637289898463805548",
                "76973966099441487492046773839770810819",
                "36553116201439224241037073737808663520",
                "132043276002569138874806366978752327949",
                "100264661516686573971990965739223012954",
                "91914304578998313288431595361229368722",
                "177442313348228366765284874193783513311",
                "186435907363053500108392670156894289699",
                "7191837946844167541370914565241084085",
                "291537523047632713820069751075440488797",
                "202899029916212336356809797537144580510",
                "143717641263843586076726700902274929311",
                "33235498244722699767702076412433904674",
                "257173982425228099963979425330986173987",
                "104596676550414573726241418001820577454",
                "315109280522465521407909209091918916197",
                "111172438413735420241934011800590355440",
                "107695201986419741130010927930244000858",
                "180406915032144328197679587221471863335",
                "171561404084569143407621771474398820899",
                "45614095645717101923038528458756879261",
                "308498568169350582558145495734311186673",
                "306796408807830785376400045363880254782",
                "218204037544894316172842898847099206248",
                "181641067321308922060309812423583131479",
                "43838106183458956772520631850202224412",
                "133129820566672537876163269752142570833",
                "156796205608729144762241487683882478182",
                "173556209977043868802712138878652436788",
                "238348162197082946584405652635730495821",
                "334923037326656355385381459032671833884",
                "207750578090169761675166539304856685517",
                "110890609951314119473158543316760831272",
                "316655836682104404045123171758990553070",
                "95681219160384876764491571804439973667",
                "94618960152336012760019411999007075659",
                "107660254359841729060531255628523347945",
                "63398420881607152534100516255801919903",
                "49588176246112765199101837225682193585",
                "128522775608014480824074554420882851066",
                "340133500746112695842323537107963682213",
                "254134074600824227592784353588851011049",
                "58484719392584181402178458588964091292",
                "47266734648066302679682936654082909691",
                "254489703667607775964070452877915261088",
                "130193786764522500122189512379032965216",
                "31171491520276207298443503467268056509",
                "9091566631289548441041761592197614301",
                "247070869776026618761267587026623672299",
                "219632204130492718856027508174913589388",
                "257605622307846534036658417779835788634",
                "32460968067268911101705399119198920487",
                "62792127900075440821286783399944522557",
                "38602639496290311449641088336766716847",
                "176474452969908100655823825349863057609",
                "209217833338428301072570895821640804917",
                "304790966398151961428449386149128130852",
                "123529461245847517825742894976162754943",
                "267349555166191428265196724582067771309",
                "176081442576592066493914048543138647896",
                "264202349151469920135680805484133507308",
                "253434694214195143270478204407771506268",
                "221838892328643167066396592212786777902",
                "228314856662085981680196010599688496989",
                "47122659104440997009883536908637636614",
                "78863971982968852162302245835246715184",
                "219770971710050139506796831452023945047",
                "144201751846868483025451735022520491585",
                "214089972040895770912784733577458214835",
                "334862576621501664140220629159123159945",
                "296827432505543167770162774457860134566",
                "37411800943260269275733027567531110965",
                "69493384978903531540854256285502692514",
                "226482587809703736000051626496759611948",
                "156726140214433284468494153365621030685",
                "90277300612888868464139521503192562511",
                "241151321216217985506676810597589157139",
                "240829137365531685673210629855489985360",
                "38858979442909537007238511978193428378",
                "300985951187823010107060165533025888672",
                "210038717943682258683144282734234770708",
                "158589344638765007034109673967621090815",
                "188433661302329614881016846900526018252",
                "89009053427143629333667018816558580439",
                "58978145762311659331235973277175819950",
                "88912223937674792885467088177321611815",
                "80181463112454803055768904089890246106",
                "100988348420285351996087113915302842627",
                "34927628219065505450262590108513602357",
                "318429030549031666309901923827877068143",
                "179896163202690576580300896856732326604",
                "203387406722976024634550197878207551872",
                "242111561587642670994251908869858298616",
                "73915735272389304925053955441242355653",
                "285153383794502792028109662656433294552",
                "87168362277578643152320607213410198072",
                "133181553695867277639851939474123075054",
                "286776369139121509067937574610177306380",
                "323423312887751922098495759093861869897",
                "3140292785880181333362376692440524905",
                "127696432349234676506267828213689302464",
                "306848344827655230959359837327090639380",
                "45001668445550236782447756993944061819",
                "244689311820921308512102555776935229285",
                "97289710653889344250861126837335821011",
                "322749836071977164396688172635885844184",
                "179371058696640071881481945669703813337",
                "157727111209209134902155805809253444799",
                "206619187684034941267773754261547296117",
                "269075083196593540659829252649212624399",
                "258751558851130678423157013980939384763",
                "333791941612812922667990812115301841046",
                "9894595905144921185357327445394476264",
                "149618467885836961784596935603259181508",
                "129221847491831334860766186618807153998",
                "318654229009477379498122682278784347281",
                "221653391813328840129571466665520665377",
                "323053026511420380628594252359175734371",
                "225871153779175491208209268355059750456",
                "130177194315467240283542086528423953528",
                "223987484015686693521664176796966016935",
                "306574654092555261401758529868148712621",
                "325703432490887687881244887162420470760",
                "140327381170068181168509331620764230783",
                "84437512145810436304006212233412194843",
                "2645769953425003241971425337287015707",
                "33116365347839086347994247157380008530",
                "26371781842805726223549632435944392580",
                "338720368105650090581718772721620024940",
                "73574160545096319375977369601235930554",
                "152677617731530946150144083051690492908",
                "196644316023121642558318611829230284225",
                "15496761125137459521666848584924024089",
                "34757007990221968637748672721069068784",
                "166479442445655778095119630924570585696",
                "11629626195963700489871339421494582740",
                "213786158971386851122511897959295648303",
                "292263008676338018707609425038526110846",
                "206513746681710234376317090021917771013",
                "168424496151514586717909029031307889044",
                "283171728146514686409670100788149321096",
                "4881691052568478938638407536719376500",
                "269916440867422399749745048344883787080",
                "174996178368381992495083113562280097139",
                "28056494731516548854009843131610545426",
                "258730665082372315313507180611918901781",
                "272305458391264590280360673992403676048",
                "87852479606401298362295716273137593413",
                "116501925926771920789639635953921551093",
                "147170355109724076305991306687341333533",
                "205738389822452711521380451386297712701",
                "241977829587129388805575171143809602804",
                "57785725893328011058343295216796153499",
                "262225095918822626986688682514113060210",
                "143584785089022347065356575700388748395",
                "78242877019210094870255652447803092666",
                "254626513218084495488642348696033489174",
                "118123961611499118035365141927242425792",
                "46576652351875460747977940683767043231",
                "157048546557727620309237608967306390831",
                "319210812814528787513836328873902358517",
                "74995671601243654530926966386322311290",
                "251842311681949755046507428840896430807",
                "127037548825838485475350078724801946005",
                "162749290732588014837096580062653884076",
                "189077541605816190814603283648517639975",
                "5655240229280655751317296499377012930",
                "296073540964735828801543245892422934877",
                "151361722242488259611600344458129586032",
                "7263199624640242837844091337281429282",
                "11673361567697307501262674778597634920",
                "47471744370437625116231907427165322820",
                "311522638750312656886437723632439695212",
                "327884912715468786810315739995173303378",
                "63077591466974707834294356880190572318",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "271862284454631579284441686665972308592",
                "228342480434426486967255277975055311234",
                "162775417267863366386530619671448374151",
                "197454588044364528887198074157355286424",
                "300888564619777252685247256021204344470",
                "139783897210476265589886403082906447201",
                "278517410625757274085168351978937596096",
                "193856887067211672298580484719186314672",
                "157212228332897989896591758234207489674",
                "180806455420856841243949996140798000557",
                "143821759638747417938361272025553004597",
                "104381768663616557359845040070212454852",
                "138727190368453520697269135801509699243",
                "248839993758328007339720273407182727888",
                "42356864103614074272516382281312856493",
                "151690524697036250433702557026054088855",
                "22805180938558308366545439241621825301",
                "253139481865154809377713606167100939091",
                "106596777635038869771477516832403495493",
                "141521241861471455841184219429096877597",
                "289136964671961908484542407706968899919",
                "32476974404791409467586550686461351850",
                "205543297523553377872954728310618863699",
                "158901763162091730852024290906571153160",
                "184572863787977780917805026005841911279",
                "149714057640004642936767777548379827697",
                "255214140044654592390338315057312350667",
                "143097868728216911587778688444060298173",
                "255755426246812442123516242039469688344",
                "121206952215108761615503849894947261608",
                "333025106354161366734006247165909715008",
                "80886570629680220301164627688230251715",
                "154351317959981720621515636881743795417",
                "293665012859345921925737178249417719130",
                "199958382579569056638418242798352102993",
                "172399991033581324035974928447051860981",
                "265197566902764296912735264948212516819",
                "33737690150821259084508796642910645022",
                "190466392899290491686665179306984339837",
                "56108348356345533124561854745934097420",
                "165888133273112250082552077050307833368",
                "58906096921950179233776018297840664256",
                "229893299410112772058132977807119557202",
                "112902337148464682927979700494535508809",
                "23586123806115760822887068371635049875",
                "127741831593329944215077579110813363814",
                "268749205706085131601453172055545060671",
                "223872070427795240580921703208120754037",
                "196481095459984282562208181682080205962",
                "59870740486309886412297574586386654465",
                "226612722875125373942312682308337301148",
                "251168629294820935693270601929183748077",
                "160969608595976230772646186009001464715",
                "2402461562586327650578267809386765642",
                "139589390970531395779402593945637313867",
                "115863251339187385983093054430160876670",
                "316022421738771700241506752958754112564",
                "230395174386386596602877266808981865873",
                "14653320912192444614294159399165993855",
                "90422560945672011232293007241506102357",
                "230161516644771794991136124054753059801",
                "185412016918519496382246277001336058162",
                "203955909621509566024827224442020746670",
                "235101182394312513565372209325576003973",
                "145628684700284709355907948772663526692",
                "44051400666741881540697345892703241829",
                "117547904557138608209587763621878563087",
                "306035432215427381399142732714864621669",
                "62721280023124269159191304302401697231",
                "152287339231705885125897692821531521973",
                "73831508425112382393342895597889797826",
                "81755789419745072585378878771747509637",
                "292493350590165745923477121329900986175",
                "44651630128548846819178746692851254099",
                "285526635572969411192296561100141687818",
                "318844078951236248346893583750594487885",
                "263203649808227000319941742955586720471",
                "102258160922173983485401826047503855307",
                "204661116856183840639733463300874082502",
                "60637744155660009932189765917632470099",
                "248990526263051536424851467023920640733",
                "265580583214098087319635270806824387366",
                "103027164502905457450651665830061312885",
                "148967961526232218335714504591422554877",
                "53764364767349698783152598224043205816",
                "28697401944605415604648747561352639121",
                "287325609824066696049256216695139402923",
                "145996383506569198579363902537368481162",
                "295694459584697187269540272348104203708",
                "10482916495505423829886593546101026016",
                "153185938951263535159202206366019933630",
                "70299881791137755342114841917227651386",
                "245346904405699211314611356571919261810",
                "134070880615276760566047737737463316574",
                "112579111353599201072892514170472560496",
                "63398270346994813765335984992252063900",
                "61583886207654569359415331815888360107",
                "272382366073986707507414549141770834957",
                "250048541614372047063248852275357043493",
                "252701242569965490665499789474253838084",
                "109007756249352576492548916122426478940",
                "144487158998655340340359458972411717909",
                "226916808547326516696753869663849947710",
                "61781172833508789175452381761290101265",
                "127986857940507683075521936365597863255",
                "76838178794151715592970574511569934231",
                "16616840986059574633188223920882341520",
                "333003516780190367409729304092855017097",
                "326043318197344705386428592525538978354",
                "158390258116810327053179728489813098346",
                "130092453832940386927348147818783894915",
                "200028203223816024702980336260080611818",
                "146448602255258486783466075152595374671",
                "106651655530069480893011533125592916586",
                "114027945295810605507564036162797053607",
                "251786722310784800618126064506388905415",
                "292516614056748073749681371075032491016",
                "288049893550172734549322797808166265390",
                "218608200214218318885751518490404556202",
                "339826689415336990591054723009773018921",
                "202151171595032240672245520313069022509",
                "38409648506527180536841966817490447313",
                "145481965322026851651855938170771884436",
                "198708225950982143490318529527158043391",
                "56225569221988170698668309720031072551",
                "207221930513166914482115796331142078848",
                "129996764441819882055898029101556665800",
                "38668869622459253292892141580542638310",
                "15112934151861960924089238039768170468",
                "202714073501731106006671852411518272944",
                "285969519853444201597233871568115374175",
                "334350067706085053044454020794088949942",
                "115375101466556176687611569816586441020",
                "293422444281920767915379366593675981647",
                "158925891591727930369119294288433120784",
                "88474152669549866033533268788255001242",
                "127765242308764591677216050520818246082",
                "144911173956908189748597354577357527265",
                "273487156368219683979349364631541448122",
                "187112223281367144013429142715009862815",
                "274651362795380300935885993457526553951",
                "200716487083320336984662655023150615743",
                "123595153024890854710735570406212064347",
                "55020079676990294376794661041303317200",
                "165670522652251088374266929722821167776",
                "315372538019962609391771913364726082237",
                "72069103944176691386809195337148899034",
                "249767870918791555813728353102756133979",
                "255562424736886083795388252203535845174",
                "46500785726364135426905237575870224340",
                "271609743431406784359029450438707903510",
                "296979244697231751495335080111110332031",
                "293303702852336552236038279998983948625",
                "329921139072133565223322770757491488781",
                "276213742121311871237758248650518575752",
                "192189648314291712343936763790610132519",
                "263480445121094006313848388863088010231",
                "185430104599630950951288152879135084928",
                "126941855207634495570985980629678421603",
                "283619447113591781367358314638016647806",
                "325476536304839477843044761216694255958",
                "217152687419229518069729763378164469928",
                "202845608872426261108374313628575338927",
                "293645622945117101775849407697869143129",
                "296594484922232554032013611006568069389",
                "92441459149931498971823623259040447751",
                "242866701157292720699023250146654309132",
                "330167058166963706815053825491174202608",
                "280608659990943880033510236120471498454",
                "66701089390979389956403814158206601371",
                "299147151497897891862217509838214193721",
                "308455617081217342396298117028125863590",
                "288351287753226228696518574122219215062",
                "84485523273849112415310396803646154391",
                "22108360251142771344844524066595642231",
                "178905914439228103783310436930791083303",
                "305467965063444224781973077989940740723",
                "90278357489526207239377740624366800519",
                "292179593641918460133859916248712903228",
                "175612843645155042984953694998240010977",
                "102267315412653967765927539664642252860",
                "338335345956911052429850553297735186517",
                "121635285820020742781847958644533697158",
                "257562774824387701365520158740004138768",
                "287412472969368194685060110085363545035",
                "185018634596198973907031826542775312019",
                "7867998576346174256635893578587860732",
                "205119746455611449271530411985048275079",
                "102464671902054424451941106958738181043",
                "19467385069749445768698813005990841488",
                "142915475226366150211017760388580349425",
                "98212401555734533508297786837554350444",
                "46563882754302498623993400830511071091",
                "299688022183883287609787510423609727416",
                "299657314926121721284162479073875076737",
                "35672628327536102065666798867238305252",
                "329736282379974518215453189573865070641",
                "286248596446067809401280821155343592468",
                "106973112992832805024606035942225336686",
                "175887429806985707841793818782212115408",
                "30581097978421148145230988627320857604",
                "129990995691648750239864515560107030954",
                "221835525775475213256268208209867422040",
                "308353650005106005752364164041846700786",
                "327157070713291278213560825026931778159",
                "295481282039554927052433969797853239209",
                "250724455940226376295797270911388545716",
                "48755286430097888242907154883090025155",
                "329362738387921613433631279278840276803",
                "79009871192037772573975629062182343773",
                "34981212611262606877459167918296264553",
                "137747932650047820126587348622878092549",
                "284071254292152258169729600772965222675",
                "71270522877946110697831832747048787345",
                "94000812177568474605851026496455702981",
                "951779828167996382671578679914577441",
                "265128899229359954999529420756661577096",
                "160296490853970858338245797736392300758",
                "285538204788161431340644947600654349539",
                "124225736046991368723940254440647835047",
                "266229700753626138852844308261913474630",
                "198803249595671530000153683980478381802",
                "290341358077343223622262806238598248694",
                "149335213170584311375174904715475969075",
                "147874146474925926738648169081752831339",
                "250903435983447366466934041176978082165",
                "111868153812438150421260360185040123941",
                "144861234856707010997579072663233083035",
                "188374336993099294075744626487439095152",
                "309173140128651878557053917416314154783",
                "250320463651830966227035793403168092268",
                "224848854519325823575981588157136860336",
                "29408805391278538498919438030326057784",
                "38795577709682598397840782816278673260",
                "51088034960423813910127274377612479041",
                "158596488851491134526818950688815550433",
                "81258745928582168966485573145586369462",
                "191898184784512009135389596140239842551",
                "59589001078051014602163806554529584604",
                "187408790131683105776088450486913662176",
                "89494190715337789507661522621433226246",
                "12982131172925351218873297397368529306",
                "147489052334737355362542720927271534918",
                "32371912702300712014901334121867541873",
                "139865909433594925442115587356853391106",
                "309953503130696023386851966318660664689",
                "219756197380335285053321477913486242797",
                "49147484821041273236369644029464752018",
                "244195096178436123896122842380491156973",
                "53470508964162552348258401305828833031",
                "83563659480381708581075596447080776119",
                "43230565036066315363008812933177043407",
                "14686438690204076144991050664833908156",
                "115480220709344479914463025980548103838",
                "661048315700967824706508682604378843",
                "141268496042506405552780916410420248473",
                "333644431234417503473936649234282564189",
                "119572363670059463894379161279858032094",
                "189738123780573215167322196440993390662",
                "180378078292119980460080519651529963447",
                "283353535538161378759519509101289598736",
                "152486905083902851738525826598538633528",
                "68436398430331374689259453078358365763",
                "56739118916432155089498112812130549017",
                "138438430799737460181519941193641019457",
                "97228953856728147860299076998797778658",
                "205419715696524709916195691133449449951",
                "7776671296976948154106405912221003971",
                "52125062556605881575262138473560718830",
                "260418639942307765386360085860160059101",
                "183566764704508258936817701182751923670",
                "240597682894941848070298382602825617023",
                "259625663720011382873970732785388364688",
                "140120765510969427906969563654749360730",
                "110774059294980817462833462397754175849",
                "206389691132504195257835123392811154818",
                "60642393741399074639799603468849945815",
                "209491168227957001645134207998539609283",
                "98161347896046155960106418890506918823",
                "102674877861429302692522948781076832919",
                "128712546191085373876133077748213604582",
                "45693403235839283438391372794766513643",
                "60924766018829952690769721756324759510",
                "153216650494367851225428266868759417772",
                "16824488980601412555430505086522658249",
                "240075750501379866470338976294614686532",
                "150971307302193521597923711059993607339",
                "170258027528473086591633669781004825609",
                "314380408525733360105210244176353346304",
                "227825156233685642918333586669569305976",
                "207510292449794741374977915333248877970",
                "254629795884411148116964180222006931706",
                "145267164991720421353173313992603273223",
                "132650487722628518995291508657550624409",
                "174862033415982135206296451878460451598",
                "335963532910028727771584653235879743827",
                "334962397397835374064299818944860745187",
                "283308710903269916742924050215330174264",
                "68422744231942541494368272869183370230",
                "209824274312489122539474258665580730574",
                "174164760688178213262353991931915905336",
                "281142727521234964304191183562287126843",
                "141802120721692215649102107298758874689",
                "324175832397914309674321257035593350002",
                "228981805553004070964177246643356137753",
                "244126547247255887532099301382125222899",
                "98904167600506615895587970110367774629",
                "250422886830901113959538482618558874142",
                "276310481920812923347880535392827174179",
                "21123317896706708281272921023702984308",
                "11966055764892523180396511872337216837",
                "277706414879848233241383310451593559607",
                "139130829508051938367735047435304524339",
                "323314820554110866350809047533620809414",
                "326691613906638631871374437469699028525",
                "23865327463121875147292899270657046871",
                "206804313452300405872319133632997613352",
                "106166435414123711681451315348171698744",
                "61641115623324543295924837982348183626",
                "240316823786535922567753561190815381389",
                "125228239774447177478786920460855774087",
                "113533850401681998232706915780623572641",
                "159711510437410314268416561324109974646",
                "169406797744764375357001677533955533388",
                "87379996444134624493637106828836603680",
                "284541807301058994855981634042233516480",
                "339009687908237810981203628684037854950",
                "30507710240914875873499911549909448678",
                "127081478431879204237619873216332978373",
                "251225451945393170677299303507460694165",
                "17757152469331255215283793160844820721",
                "332537383905427864983491072990374163288",
                "215751175776331641388624468322099553017",
                "296224358779327984311488621437386272480",
                "172640119131330112646174987486659847419",
                "198407762200624806163450626961621511105",
                "284628715167223786943226628966010041645",
                "256012141685409592576556566571033094228",
                "225516480600733553037309801416150618050",
                "227153972518316657563869006194666346036",
                "179986475625408205843025382230727218424",
                "292922115358375784800292589735949360833",
                "268682738481187977169747879775557587885",
                "154139544261535155206632456541213523199",
                "181246910653900413221755789891004217477",
                "227332293876379711914938924739016851870",
                "218866615619287954459817454602315990447",
                "230419111021568041378274418816489546189",
                "844142643978080386500751326241024737",
                "259862603587901686182195747590699495554",
                "184945305379810336581841304675653714309",
                "159449113677725346840370887660359776156",
                "305142228001246770471267628804830969965",
                "271053609477952454210757141923882436677",
                "86695636484743398362294006471266279791",
                "237676972752370707317785850101263958461",
                "20687110906142420185626599977869498748",
                "27282712346853033667802936323909494442",
                "17327942634952350609698266065125135254",
                "222476643103764947025660839089551482422",
                "161573043269015088939232894483258124084",
                "34869825851123903102972997943001112523",
                "295614365387810302839571944936315020373",
                "282259435738184354040513480928999552205",
                "245369823724698478598680466397549851059",
                "252691168538754292723597585047481995974",
                "145440971467926956583799121538686152985",
                "321654706156769296229897811363163160553",
                "312290195941007483079571616350089666757",
                "211356342826447577556835571296170029893",
                "34696634654665318427033872452351387581",
                "193000581618450175579914990869295112372",
                "52532560334819702321138355118240525979",
                "168151368544476187986492100824102418302",
                "172565135447351450176290170824588667914",
                "339522142462553877638505741382849661102",
                "313310563299834912932285695046671538233",
                "276312553937803105603357039394667807452",
                "5953593367054453610001988344292556149",
                "270579553892083010682384850840332581492",
                "253385554639780965013627628808774080235",
                "39276937987264378221559397827498751949",
                "257182028475823741096147484001825828243",
                "153363756148280574248867724600044116158",
                "267432766701635794679153431684444093647",
                "180380092074985339309933645357382476325",
                "42059085296484599803412464625517528803",
                "167788685690898354311507034916343330758",
                "95818932846683810933521372288178085612",
                "68001436783434481781770450950235933431",
                "148403354890619010686820633769207871535",
                "315285744956010838806815429435883885069",
                "158626180856296971987386216553996646106",
                "108099518236280782931371176549964267342",
                "227839471139134309873490987825989624425",
                "203161038955362740221598803792110244467",
                "101718270044031392691246665478215181581",
                "171040468145404075821861208168556995972",
                "8373680028298147858560332656354290693",
                "271655133750589221580102614793728494370",
                "207734882757369216432150748785233769258",
                "312289528660211430087489392243841170965",
                "286390783375480961858276125066179614908",
                "285177676725777947062597161797802324693",
                "223487651423419558719547074492108962934",
                "252799169466573600459841410499627706679",
                "47490409308211068294844092301896589993",
                "281582438585846396525609022793712647589",
                "57399217253243302474893056946974901036",
                "191881474396941071169503942799001868975",
                "275219833850395637309560535340233078588",
                "194892257047944482195587443189039822098",
                "43859642134819262560312033560001540902",
                "283874416321699405699778676471871610062",
                "239480939012346031218685027060166627334",
                "177142506301131833412168419244832865900",
                "51225519865357444159586110394147835064",
                "116997944989558535655081026654887729729",
                "198277749274485016668294799325455596361",
                "194232601707567167614368408939302271709",
                "13341741780452229742866460066151287514",
                "330604880743644377071751063944926179818",
                "21519366004601225112739586678044566006",
                "111704583588897907355217283961757029779",
                "168740785287417614084440644362299580176",
                "61130586153544947359226623893524310413",
                "107688818730785133483959341217396729452",
                "291209244362115104004930845129549907534",
                "203152942382046966500850673027597715874",
                "246071821610393065860618979461472978163",
                "191286995470432595105751453716465186501",
                "110371225048664711379046217213988509878",
                "225593955450410164756720866211383024069",
                "171463870462149101290984195228669201588",
                "298684025017613452504196508347471812482",
                "100047052131972708097570008269061465272",
                "129879880547570742899808707465863314731",
                "62932985248715725710459732450748523631",
                "22980599195853990514828945212381068736",
                "103250005384602217720873577084500438903",
                "290680802791184205474938865302635849069",
                "158605517402301798316955259366057156103",
                "95421230822245702789821901710152865092",
                "174523817473055210816182072039328276805",
                "10682463632957132333538499162234604367",
                "304588378743965070789497691471171315562",
                "15493900915298837759555866439166635274",
                "58272233693437336695970057339357930532",
                "152706250115491888290251105656471919503",
                "280947017636394726804124621710191217281",
                "97376524002088425697761239543827672433",
                "241146189220949140289506415482341529562",
                "133643660787375324895576337517296908226",
                "64430508680059329792595467432353476668",
                "258930619379006236614047023493275373577",
                "143212810450070362335964334362651657049",
                "97771615316294449131539540984731762739",
                "173723807501560871366516851404696421516",
                "292765354586971633737694008734528451666",
                "197126497416061693088128323553023200814",
                "242938235663309259299372325435180655034",
                "96376475253207384444650515999273576219",
                "241367927951570200650057332324673010758",
                "334270499675067025253893784510978373435",
                "67802918309318306898634876736989635633",
                "925218272499860282633392120027374594",
                "266213357538250575583553069825180447500",
                "258390118572430630488866114562572224391",
                "159605914517649535099842085309927774981",
                "37536747277850259416781184899240475632",
                "215936216881534351631306525811322162483",
                "206605453358116389158237286267615491602",
                "183588589185980411552394988805210313058",
                "219883655283847969421031924152282829014",
                "239635137463285917301020958319032564475",
                "320698451290520435514126282524835978224",
                "339654948933828587305875145522728682962",
                "131979037427874733736431850177677149501",
                "175667833728633500992099475285603587438",
                "95492540593274763898941745026016736135",
                "264467143980004913975304237057678733071",
                "220285353810639426544587066507205708289",
                "10745004799448494472420103610986603493",
                "123414478060342263770546785350933320521",
                "307519135940174437258058172618617893447",
                "233753528015316823816187024899136939620",
                "31330523584535511206675464249546506040",
                "257263784930686349334992680717692456647",
                "61431755217156204526880885190153855015",
                "158329829315602203994163960925812475619",
                "255145839262829083853046254419657930069",
                "177304981584054013593597683489807876109",
                "160930357147602163408519092170864211993",
                "158988369768360433636697011185014470704",
                "204417368335968085400693948581802949252",
                "334687682785438463391687188029281061186",
                "125108387169217174927527621305016145534",
                "339803320522201279838454666096396120631",
                "262501174031034026506595618084145863302",
                "329868205978798423605680674479211573766",
                "160205938332861832585234107694939562128",
                "313427433314174527363628535908762249732",
                "81043627263082251610122329509136504146",
                "253187933429092637611700618853560684016",
                "316578411400964366912854278570174868528",
                "109742446389723515633574713035520259009",
                "280949196447263249557991520586097041685",
                "117479303973200437209549516428079494413",
                "149046536816446955681478643911875563298",
                "40041340608119958743405786520292548649",
                "308552083350694079490551339259885725627",
                "326821006091416029507585346239274545240",
                "200631706866649703978954826673572888754",
                "270203785451192898486642010288119766027",
                "168008798123435389153234062884744745504",
                "19168292899902102136360806355592149024",
                "262788597295482683414246034799308142904",
                "188368610394170642581587116914257091015",
                "103486410779769047010351920099789102376",
                "37515882669840694544949245458242189489",
                "237539467414429663737674255620340164439",
                "139098207341388052762577748766415221002",
                "175545872353218324549143386579959663025",
                "269478408091136153280693846094952471578",
                "239145845275765265960518116212778842231",
                "335655938240030304236546864488859378680",
                "53739538152950281305166256504943275355",
                "208317132041628235618339480452241595896",
                "255675858984075845416875746245277367615",
                "186574892451234905382182759838826097862",
                "237363702229957804201885169164699292116",
                "210935248829608752627919490406502740345",
                "164354313719169292807163451144150706978",
                "37328426106911828738467389285191360058",
                "94277659974192164687115846222232763951",
                "240013292070759286364906284697389946970",
                "302818325337316326549888375880055506816",
                "320776652179953411431169839658664171195",
                "100040946216224184850097702873382035326",
                "3564820852158887888545392574984947757",
                "239077723638000050603450576188172346360",
                "235784360342822355074859808450249581798",
                "262238610774439634928156519388473759581",
                "239936915817792489315260679549470589203",
                "289127903319098613411768213626747880486",
                "268742575219805438426235708679299233646",
                "35219289168093343163441162040498508250",
                "320849353308772550459450640629161182280",
                "149014647980894358182284710221172836847",
                "122847227246584449471571646789670428184",
                "103844820438670252025196682122782227218",
                "15947324878980459163863580447932340152",
                "259132450499880714549043153245432947488",
                "103274115210388403286401802303458033187",
                "270164341815464655635197795713471016746",
                "255439920133524581919993735178329472259",
                "109194033605357044564446721327008841589",
                "35965360910477551503537574904988795558",
                "178468523096748998124855526957153534257",
                "133610763982956867131416411050687324314",
                "73457520052043237362746100397955599846",
                "41987629980035678434589845291571712871",
                "76946233362948750515476525961937389990",
                "158565273199240686368866688756115505324",
                "17004210879926261154993658646295176277",
                "224175560956406975671833090866146931093",
                "304587689010892587266916395855592218896",
                "325965626715692354507360355831769248303",
                "298889562390607946695913431998846293405",
                "60809194349946730158188033339822710721",
                "171856459332963432548020569549125148109",
                "157829257348512322588251468656656365053",
                "335716761907910204143618797675879785722",
                "252085319315152379538367503686292775553",
                "300452890542879365864954263756770627140",
                "153035370212284961466167433141202301039",
                "154475977643764567362610927818176500864",
                "33712869655675298486952004801256870740",
                "150886501310562778701079409884751871295",
                "2357979129089123668308243391181196990",
                "72056388027133140497031406762616534213",
                "315287177838220506765947931420415015278",
                "256548938448372987672848002056214643979",
                "324086639213821465256875883744230309968",
                "145837597588448270643477170234979019776",
                "265968240967070996344388650556270577057",
                "210745553481162080859000767164645808493",
                "285473877998302763626574382069553885421",
                "192192667890581910274121954854923219765",
                "325617073841198476237909401760398786761",
                "185228374916762310973509055702309792569",
                "308402961818227733298711023432797160732",
                "150528061993065737310632187844631224728",
                "109575503916698428746000277446408154989",
                "196656916613618226352740927209654355610",
                "269275401811367267906145390669273621440",
                "125047434329348636843925963735229132268",
                "180729818984998464366675575570295586773",
                "131896039500112739031232882874935978616",
                "92494702416396739451390762087533032709",
                "66142994713444423236506228040980175264",
                "81003393918421667001709503728096735818",
                "18634717369228472306284047325046423998",
                "227122539997696885237963333248935057142",
                "329495251183687760595439184531707744084",
                "50174145627903297492291330543316888378",
                "311930963393406908044719096195712187138",
                "179864537476361830474684821666043549704",
                "328299412111379412791957236428813488780",
                "319175434976396624409791776432888499576",
                "311205212573153872003087394676303831689",
                "254073420386520602862554097747846348261",
                "119584655918741356012994448835607939704",
                "3425470556722813352516440374301509444",
                "85533898144267186583702699148314986355",
                "84995151392897911892618140252034022727",
                "267098741733434047522298921976894237254",
                "60589321897794925047704136354626121554",
                "325387862415400757403424094633090023819",
                "24076681365928988980701981784227900463",
                "43164005548061827480243856986116471036",
                "232635301655285797458026280447602795610",
                "56116205884176040043195291060472761490",
                "61700999352103223277773315201063549756",
                "127727782919348618167546482891387368336",
                "329402509274056874953647849402600327382",
                "122122999945031298772563826298687897227",
                "37426010532859289181364607563835146822",
                "124420268847938096922994879489573476837",
                "130972315794071902944507063136020858177",
                "75668613258807303682238657490225259868",
                "217866367749166902895239192030594666587",
                "315399337117848594969762481693579321006",
                "337980662133333600799350128826388900643",
                "300002573554287700189051065762517370387",
                "219568578002117118214180090939556733420",
                "330894004277748375288698798218037120112",
                "166794169120806459410532409150938647217",
                "85742591513983902971714927180435961928",
                "175821506046819676648447041221483830000",
                "199993886111807431519031916798024484901",
                "109084199231600615575544566944980615315",
                "112199256638845562519699287869225988020",
                "282290868813485961468228306476209392109",
                "249914294744370235681069861785006458694",
                "150336143508698276799046795683973809849",
                "268009918772811883340041932589270012585",
                "60987024122344672765086512440212748706",
                "334669989194213907900271458911074479955",
                "110931275145024402159043743203056336670",
                "93373824157395332240033387413008436567",
                "138356832905234092830571356497474307241",
                "327967643566717876042310551175393812323",
                "47378884360730756597220429657885576649",
                "62490609090024718347468437053732374216",
                "106129086784269516213788279535477937050",
                "184139987172830166632507714970986174182",
                "274419108331643489888863073511464492948",
                "85529935099850208167858518854617259241",
                "2790296419879032499260299118283041585",
                "260295776379129890340716386669583336469",
                "69726371154666817169510690683037313439",
                "14911416711753290650930587536412097885",
                "172966177180893968454020592495826486163",
                "69812764835761550176567446499726372749",
                "180560322163786893462767418300308672383",
                "12424400800063186928940839436247606455",
                "167657943960109049319390478545697081470",
                "188633726755323566904210969568070757389",
                "66068612719876511314750750678685084905",
                "102000342505047119521554034253118858847",
                "16973605020501315098748552063144323251",
                "39061436111238763855274177048156899698",
                "46843216536573120845117350177368605157",
                "148705331852974181462780138628029449470",
                "7355545520602407235213186140191897047",
                "132859768048649333472776211546205726279",
                "166741119045557628393396673390389289064",
                "207933874974611650170777800418735152691",
                "183057909928842905941220477786210487336",
                "145696828050593740216948061694029158510",
                "215746553634376712561130724367563368948",
                "87974608824363138159591245386611831086",
                "289746425769351697522454768471013007810",
                "320886862080441544004645552355861965666",
                "325697678315150644288637209548632588222",
                "294281831904509837956226425227173801589",
                "140074950301777814341002522447839890487",
                "299002618097720379536700431223184398225",
                "216444933042269168590147805491055116125",
                "16307955326510421281757329685720447828",
                "176632371906284632980908926810100427823",
                "178576444542584183853345436559258581563",
                "213463140956508104357400909333252868629",
                "121419054553590640968012483443611446570",
                "254995568126411121803445665866661748212",
                "81228981641826634298261041960707081879",
                "100665958545706165465058447960023070380",
                "79520723235713076875646117975669909253",
                "142309354868921682024916973193718125263",
                "73043271132261674477550761961279143902",
                "223107275006870186484180147630315110729",
                "99990114469373545356343786689599391720",
                "322487920458262662949541101540000029758",
                "28858748628655795655696722868877698946",
                "16801052626012671547824686485635516261",
                "237566225720458287691805225426978343575",
                "137796727980406555157571370408728655013",
                "24448803832688772482258943241310654654",
                "62855262601595382586975550381858942860",
                "92094564375800843470395388607492152502",
                "111222500322674859343280514348452275843",
                "226091000138869680794049787204725617281",
                "340069005167636266377435029258733463603",
                "259128077143401351518080182201272665507",
                "253497133742186772020930625916780096890",
                "54107480480803876500897552680845304910",
                "159564456544692621660829330479969375803",
                "215338809887858955857418450814621582669",
                "104226040431383089799930788763979480713",
                "120225388115036499283094185001146447857",
                "283380438085221543490471417904182387810",
                "263644589695847813748625973242625174630",
                "247411030942994886538766062938417640356",
                "148114890078685065096282890933733153634",
                "73097401184183086877481934892622290274",
                "95940790885853410579628330409586926959",
                "172668814042527668863967125104453273620",
                "317276899434155144912259924860281205202",
                "190598012698741875260661033366894317456",
                "308309162314103985743076191331521509905",
                "193800362611639010407616791536063271421",
                "333886372233694224728469621257746780397",
                "135122789506602717656904165515600373827",
                "70407992788449359287515156296437546418",
                "264895817540317262290440738063935171639",
                "337947644962559900989581417594469016359",
                "17485196183763147187122493812189579430",
                "117678032217955512012980364003747792641",
                "300019946135792624013814060744894178263",
                "279011650238528239088860736820070200777",
                "233847135687897787478850166683320137538",
                "275682292788123127667641303664516363156",
                "177731211350544800299386438325100159682",
                "186183241878748505387867946259309580785",
                "218452475507927793744671051983018273325",
                "148578947114870216271188236515516174116",
                "276300498830255181923438394400695512815",
                "25134353591881806469571154735349403613",
                "28840451510619904516457822602111698209",
                "83929877596243959318039231263637315032",
                "93498336570301397084436695024836195865",
                "225326822494323974622079757430763549259",
                "133884125974136859872891680126734018029",
                "201317244355162135884811816484530248305",
                "196746944087214482878415950089854389811",
                "133592345158194245286779558725706954133",
                "3045615223440415126274974197985205098",
                "305868093137735906219971601626489125267",
                "295605780911292039953125419598956881341",
                "301763262317933701714602261853435050482",
                "181149111013495795065520868365387989802",
                "99217343954540874819450706688511571175",
                "23242204310446975465130679099014960169",
                "209935395309861371951620341898480074428",
                "335746768388061020244528775273607734463",
                "195121788468459139506619233235814445854",
                "156836261477820836085785839783289750115",
                "42824072389427776578787672632761008382",
                "234882738699056641892947287097029417832",
                "23788221654150777929461823747329735034",
                "270071939909023749430011669961760565707",
                "15188459157695245687221334007754091368",
                "137416776113572548520447879868394259452",
                "222624725530139265373000681324588860848",
                "25396445895031374701054078711418535616",
                "195304245116636857858055627852892046786",
                "332437048990686981242736356189462983935",
                "260974861103665129670895171106883538507",
                "321692419948050712142726581084379100623",
                "259913757721678954449953986461116198750",
                "24305629693600191182049003561703436244",
                "15953618743740435754662444420132049458",
                "278949737140847815023192462242799847696",
                "120990419234177753612704418771646931618",
                "212777723519114738688267236031607769559",
                "183094632820417356972901033469453707643",
                "39976434217672057364740958259262774341",
                "141997202920628736066760147158456739585",
                "326262792544838488394537033958834934712",
                "179658846097849808171922272917059765271",
                "2738898515316693826088767173480979194",
                "98608001009340779542964986993005815806",
                "251554188483277505295326172179405705279",
                "275595266017108655524407648252851162311",
                "163149960264809643835500395467044192122",
                "207320134610818051007156837608449562711",
                "126575292077027161448304450438863692175",
                "131457845853191557953628913021639806471",
                "63157707064780542098905319308549454258",
                "48667873213405636268824870168005573433",
                "272392866025743169082870628388548948247",
                "123903097472255934862915634701836391494",
                "125871541690311908563313530291618890078",
                "266880526838522127151971659764327682198",
                "303968417203808616415016144350388904543",
                "33861642920750965673704033308032402339",
                "254920066900396111581040108332656239412",
                "44865007097899626827389103977401417885",
                "78342335199837494478124073117121486705",
                "258239971312604400489788279293301577495",
                "264547911616852854478183546971828369550",
                "99947365034791814645257662331154067685",
                "55726009948866025685727129398401603001",
                "266540846131886915727208154230497559239",
                "89859966029523442684041972493011788774",
                "168804692680539303259070754579817879288",
                "198684198070848241520082098112953749517",
                "49316939117788897439923183825223667986",
                "238301307695312010303231856167053700565",
                "175782015404981340703195935129805214114",
                "86537694499426419427410062955192200382",
                "123716916370160545211052420764472951791",
                "220212493367523242463993773985573200048",
                "292276538527250815843772929814018335837",
                "171055817102313722905171839602131173397",
                "191036839510683271734790373293730649565",
                "21301001452416626520214688396510699046",
                "185577414735405299195249530169777253997",
                "94240237839739812837107379744402238272",
                "114424261414160688021531545582549415418",
                "222173337012448928597874665182465577178",
                "65887650294327316327879614210312395510",
                "290206932262103991958792233773085711837",
                "132990255947463307276370171067157987349",
                "11048851855162706858022510817841170117",
                "111808969384806944024012858742208135460",
                "233826853745121343504523864239253134173",
                "94747048864937921142659624641693028722",
                "269740980328703304334831964015174212698",
                "172963016524662086549123677856402481855",
                "275781709735150538611428327870881053344",
                "162525566741911658971058736450976385289",
                "233806696515983092997523008887192798920",
                "125169771931029688243388851011938865894",
                "310703569477645977525338757287096831587",
                "118452667530821728876489887762293086922",
                "85106599747905564079466853970033310988",
                "113049626833245957796413074762473806631",
                "115596215040775674587215515567615664247",
                "249833017530310162321899842547680146642",
                "317853045421943428647049130826944200131",
                "96001617349894792624568949458449282982",
                "187555245450182384713688279636510484703",
                "147666802940532211811432184055000986021",
                "26648773803681012378982566455893531341",
                "301246807974960353408488701554423807326",
                "79483384280695746707318615290881898529",
                "62013503378286552753370618009349822591",
                "331748087687408884440418200684415473428",
                "99749101254479855897741599299770607334",
                "76876637228882082010098026267362288570",
                "112358445468449244697764015857126595162",
                "255813904798491813324751102601910219161",
                "323946605861608000766217080072488229461",
                "283396345191287543174758171321888538349",
                "201409436287597072242189330023489526031",
                "3153352611532987531883692182977025057",
                "255799998239516401843014598124422510517",
                "276830975331188268953429486213969279970",
                "188662568705074213790457635635254029668",
                "166345099895974680472671742816215413098",
                "113489377723341982346926645990828162302",
                "205976534984119661828202756157016527527",
                "194461933028832511629950473871999890967",
                "3697916740781289232538399293892540704",
                "56915562101855208675106629578957114060",
                "279528207182429640549860976496064382969",
                "13932708081578381761413696660093976353",
                "216135671596054679491531917702666459579",
                "15110659663188057378449806214635991002",
                "317240180318240023538548548653410154430",
                "233572575118804292224624658806163026937",
                "186072691763398712165603618812119050589",
                "303333108765028579219754701145147782949",
                "35668008765833965938786610702607879271",
                "217680591657626055981400552310226700627",
                "46608528166830263334342692884419354510",
                "196254717013245654839744934011430657938",
                "294077222399351478888364825441635431901",
                "216918630131791754787171363256749123258",
                "28561031590229644234334720829331077745",
                "52648449060300305866475483598112053671",
                "267144965968710887707095409494214825845",
                "84516537456731042937829454474075335124",
                "30476698405153658778396888444303246646",
                "102833645817739156271850794729911610457",
                "247148209832284010540668272538868320510",
                "109472255098756063127945583899574883802",
                "88981940086870674069310934800102300768",
                "263255932899178251317548748199352652262",
                "136898651619715158438593889056966514695",
                "143716427947599321115795098334459337046",
                "98410663427242285673212739948637619022",
                "29996669992503477283404570171195705393",
                "66194816988306861576177243462309931857",
                "175447554544561265409597315327451441602",
                "8701979308386635029201614465722167989",
                "58146271962632601960538859292833226487",
                "223640063382073409012387040613182528945",
                "305479998575005078369906763425275451925",
                "5730439111595914956592944762425646776",
                "127535385738043274171460962871476620566",
                "92228114488795433639294222094993559708",
                "200245796057632612109949310626965189277",
                "318021726933797717729195796912620011663",
                "213008551887558658995693181218795099622",
                "33531207506038193442207479825471503189",
                "73901716380029476583378104325800692157",
                "416203611631430581333680963656610717",
                "39322980350119183591150747789333885838",
                "336726187404739814549848850634985189021",
                "258053511737254303111540813690862392244",
                "137095370834130941364190997946305410220",
                "83256294309018277013382006361857341220",
                "104811137614323845866081512221212603561",
                "204903705001215102506546644143205282088",
                "58379451940419958344973534144475638417",
                "230508688838365981487101191887274719434",
                "210283570714301023293650686289173166054",
                "151309228928632928018668842226683875382",
                "240671485947907687964502968170660719029",
                "313527616425772661427820602763330033413",
                "30856049927992407384011112661885613153",
                "177098058816048924560353899535706612993",
                "44619742822620537846586271367679992918",
                "149567875718611604168504123248573494627",
                "56113152715701824406622867115045020390",
                "79255329275439450510989527403769935500",
                "62259851079580030864719232962969853967",
                "192196566763297668089364055808112598151",
                "281431221200078964630457730277712856995",
                "171627084560218000846263525166649105659",
                "60473294831144716657876074069417430576",
                "125095927458449450032272189357337435529",
                "67826843658529165256634529842917463469",
                "13577806509780910462353695935037227411",
                "173582036859099794226648314475075830138",
                "173532085460484452353170427305155265552",
                "154789277969588147513343869018900857668",
                "99401803720280368620093785128019614526",
                "150357853818161204977887396135647361941",
                "282479044011907201778744286806734414162",
                "97018426618990631121994391718546399634",
                "107653560818988988206768762177131617820",
                "247521266239481328914172982665057902585",
                "234014610980250708454561140666326624292",
                "55440568566506086302997812756337059529",
                "215711968756248892154652532545332474126",
                "175262506338629549751161872155939702645",
                "37003439595734984849598375822729458044",
                "319714834154166683345984032897579812657",
                "130959012792857687719518857593112418818",
                "304788512171799072584047948327935798400",
                "225467914412204709019524628634034965106",
                "178439261509092734987037412763305244160",
                "287595706425996234994406186448308593793",
                "68148326407371418880152722156064236037",
                "179121209239022402461175326238447127301",
                "131387271460339245334160526049731674583",
                "31087329654603445679435387670278946443",
                "264703268191586956359102299112576426489",
                "223973605791105662867304072855919074598",
                "1994653922181556244924873238627574665",
                "40061816725019608038897470337707698758",
                "18657146195994453859817170280621810627",
                "110351629138095711879047709101578802436",
                "268175437390241852910607387021482551505",
                "180039967173617078319437443680179165082",
                "262242581358881914592651599975344561203",
                "213403369886201024510744331468583422169",
                "21879662247357052431724708027434083989",
                "211858479211018283702862876120438660369",
                "316061407444636546131724573706016531672",
                "220340700508303055874216578758292826485",
                "89116402048799187490399743996045472686",
                "15298578944139665917132750464692972675",
                "249261151412395946932907669908205395169",
                "63315705937490740231123314353342768902",
                "118847613565112272203987228272473008097",
                "209942215551891653794821855699439998286",
                "318270616683283576806054201021395137293",
                "146493611587316521902525139725377878268",
                "330738456679887306471076026531340991951",
                "318403285614080984512195833062205350433",
                "192160142089685836621076488758904610312",
                "146868580254791437204727148820601406216",
                "16894595921286130164230737247592336824",
                "54452555981215128444867333655964404946",
                "273668509784205367792843963494877092419",
                "254113742289835176584274953673570153818",
                "277152745822592776913573980109984306853",
                "208516941144828106323032077715061811276",
                "205724236316368041215531901618487470024",
                "112171383643600697166451097577712132787",
                "234627737052080993951655232587384120583",
                "213212544150797851585786358533090786098",
                "74126434247003103479793997063323379915",
                "77990739148119535864389379880959896189",
                "115859398927939776364093149430402808280",
                "105721785468605473830180665691773630943",
                "276989127900134238259223248386162732841",
                "246694307253794719293601557091038120821",
                "292672800905546465487054137128171469650",
                "287949061460672404703852887813539469593",
                "243978867978562719994449388078891162980",
                "84201346569370373406785948027599384701",
                "198178634587365620703288053325573838312",
                "319902063490736543990109932499532308839",
                "8637784912324543814090721386479020117",
                "309220444367387393097910361056202986078",
                "218475673792929725826372645711623495596",
                "41601172457052266596283656016067154657",
                "36848500790135926275931612296502524004",
                "303115723309895200081804715638022542384",
                "136819262380254537044176864189296833413",
                "182398456864410226958766647149539137306",
                "114157901043791815743312573836143431059",
                "260009264235594677402885009192828045489",
                "191083621702621694411806710435320579215",
                "33403907280037937351023792921986793413",
                "116542808000753289520687167643195201878",
                "11105762992851824590285207903056288056",
                "13448460209212648027628712276035734091",
                "12691699535582688383159475442357414359",
                "15771395061508931827033202279468533726",
                "249501762939530369926828023035875999060",
                "282626505979118350394933774383838015413",
                "64788249879480816676289704629882014592",
                "238371028213730818384841414942164611543",
                "46264673194785639144751583610003258050",
                "237314157441612405295372004827870113432",
                "29192549578228781536759804756611653296",
                "215929015486395339070629966865134294320",
                "37907192601841765794818083688762313392",
                "231338243753289276287165680705132761448",
                "102414142123668091423942754500189055904",
                "32748642151666245454627954008860648493",
                "7697413365299694771486695779700176895",
                "317105598888606107233344197295764182959",
                "247714047445211075988127413988895098517",
                "255328654349348490630109799781286191088",
                "51089989185605632518099179011890377887",
                "289390459952925836145962266146171478941",
                "181968464768585414174241422545918959496",
                "71289202766778883419865982359195332556",
                "12482136922091270475029054255727032655",
                "193659966725020780242808246740860458915",
                "222526768359926467770765801837300543970",
                "214863445664685768724354418357170575464",
                "134136588028089953189359655413056008398",
                "247704434796590041992857033257045802419",
                "276451580851404093386859826886429473571",
                "198363077247349795230023228020825688334",
                "324309409744037321694588745525341687344",
                "121979663452377905064458346121013469897",
                "54622246920907052409418511543376877625",
                "70429052526194916855816576659428114932",
                "235737840263703177046847990140886911833",
                "241433310358328736319965283175756986853",
                "245631714914739488785648035114679571693",
                "136875163533620194057357971999430617290",
                "191027920106303191119455414783872300406",
                "222873261950123603424408218656905864186",
                "47553802446352654821525034760264780867",
                "128300531392779973537997677554841359813",
                "217403432184682931260485840473347214685",
                "46563818768074035211295768422730083223",
                "169203839152447956585726955379874035827",
                "275174934642840307365531397821715139699",
                "211643792670288529013032393727324920636",
                "150360787992895390684347765643546923196",
                "294945564750314199612403937610537582006",
                "300714625086915296580087937887284550505",
                "147281063287407377457901430456638961744",
                "94429151012270734148005717494848973605",
                "67322992861876947857748762841643917012",
                "100580492536029645445991231021758146421",
                "60323504426436292991553031001808873499",
                "150541969935758808179794360614410502074",
                "246408448879988306700714524299464403700",
                "129042514139649143079502212619736867302",
                "118184817087665391746270603138984577598",
                "174071441603545050417059029000204651434",
                "135518358232405556152785421302303187561",
                "61768930624084900147377748058307455654",
                "134093731525653300398174893738194072094",
                "127457518722948469024943228972816723629",
                "210103990356761318414272153065642693094",
                "96776834004445169348231304652290041437",
                "213047404461528894578617583142988839412",
                "210255069136911223757581812523683066954",
                "274851597052148934852105714916694232946",
                "273617767222904869441990270634631340080",
                "255589510319423663549860835274150674752",
                "303788427781619890014434065985015816313",
                "4214532003848297839354160802179333287",
                "97444542649300183775515832321876132732",
                "326244282764608604383457180551937524957",
                "243859374704841605813749938298908044165",
                "327135093221656758833698215298634354943",
                "218841169248837624112614219929544576432",
                "115069139553368343028722161587626286349",
                "151414199911927817869097034377105280713",
                "176500193536377678663593941211882249088",
                "333205047402453600025280093456320983419",
                "168097323620343647451504490097755018159",
                "170711858132786064102426379245508904760",
                "654085607961316992999225137727036823",
                "74383791302274609094410916323193376651",
                "267436282909604518639743005250333653473",
                "195963321681434737485638940490705815216",
                "177805192581156962591992495936590474369",
                "295170380754284333293682655006848648838",
                "176340305576079578022875920421651697495",
                "109336756639002575936722542172467406664",
                "295892642169746463750718932526745797198",
                "306887930145596058690195324262519025817",
                "281035627785717188936662686483364128060",
                "79342532938148034870739823570331151838",
                "26856462892848829003348666366975220254",
                "109613664960759355815156470958590999452",
                "271311867376751324685414842779596287960",
                "59562938928132976527050479611780195655",
                "98471805918515148505124386700686902406",
                "251417601964343791586036926111550816043",
                "116028737466892373453513782025931591543",
                "91407989161489907990321057616400149135",
                "41055554769502083281241104264115039411",
                "94647485597700828094200018802644505472",
                "65289237893102544995409050049058346167",
                "304872288749809373025951162817722427888",
                "279668367125137521954083294280869922659",
                "99491307921789447506287236739517496963",
                "55178105958049894663228280969266044403",
                "243367169074079359353245500084316845555",
                "262982088470314654028739196111426286956",
                "198724108696820414714557969739530503093",
                "98069425149108764763388305436069018954",
                "100897283365397919975585351271694831985",
                "76640708129396197501278225178165047908",
                "302674079987466415650512608472066594074",
                "581272810385198726217572428323388360",
                "121605636047454258935820147066978867869",
                "36799033360966435400675545428296386606",
                "198909672061208729073795692107215478999",
                "54335005070902686550712797316844340500",
                "168874774568880712742754867061979251975",
                "157609417092026658663234471402230263512",
                "138660519819756548701889385745021408398",
                "285320222834888107246801254802944656271",
                "269790956294250784554552739224438716306",
                "193256733177808893550909475261019929357",
                "337018476518080542596729507944051500275",
                "279458572193552423617818443849519573367",
                "89686986370136891722654727439675866995",
                "19904660154726799529552033499887275271",
                "324032797961475484160692384170696386744",
                "263846958258366659125964530829936281413",
                "119868773377039830883053541904729030883",
                "200466608836151559987070666631504738393",
                "147487730070116026843150493118154673222",
                "125256797146527556768342933809860285648",
                "195894675845992008017239170531858966795",
                "97792744657092439093216073467363705234",
                "313385731429956787297686334929916374675",
                "214841810923675733830631099037490445134",
                "124570494762763911353718595324240380445",
                "165467574539141696787633248871115057193",
                "66574076212978354624146639656871950534",
                "187229370500815339669865038686617407666",
                "202250756952164506201600074107389123485",
                "258004947428059767250899308591681018231",
                "67832094312186209539847923810754326077",
                "2202464214594394359649157487987488890",
                "246334988280699655691926221557167934523",
                "80490169394079458880491558214167903102",
                "146707991993148145163885094273085435434",
                "291725728392344089479508420838377288053",
                "149242804366973868220982121649322069594",
                "201774038137342173453582123537112656539",
                "109937715058788658744543284026739891592",
                "71382394683480868373631475683799606513",
                "305165833208456563181538802604682475262",
                "275136508039965624787858516439566195795",
                "20295026486209588314894018321156612499",
                "90433529966460412450800040175222633776",
                "269060574573067654598578133306776872012",
                "160555828211387699217401630593773585756",
                "199801599258597777479195262118150373267",
                "304818561630663520882169589974830367886",
                "112164897872051568402751122807940873690",
                "290647682579244748264134785483417133860",
                "330630040316005691021736248771213999087",
                "279513069482768576762916752718594808655",
                "99067923048754960942758405008968334148",
                "244771643159109191584481369806023036927",
                "226388672580569345925841444241462044385",
                "42930045755302149841226019621029717476",
                "251584295826756813632299448188132969938",
                "689162154927577673355222527530890566",
                "37050429868179218545107655441699503005",
                "147200497820659542221471119869052176730",
                "102281368290110927664843967393060149641",
                "47007789584267028918580885944184403904",
                "23489588782692453622680719257166551071",
                "166743413525447756531286994442436489683",
                "61740319160778931957972291382850771533",
                "9685106444230904858571629487698772877",
                "137629337034984895564857905012614520121",
                "91894602785052497734453437702687748760",
                "27353751054900177237646103127479812256",
                "267293141764829288270425630608914846060",
                "40158869399091121163528481537324223308",
                "29658593950616436222877492219030200889",
                "99343736975206386742459472454197282884",
                "31751140242557164278180221052420610693",
                "43446980444145158686644052714595769977",
                "51119296528592788573234261078097074479",
                "10026738977624197918059966752765421374",
                "327121012850154009347150796741775032552",
                "291854793659576567691669169748242009557",
                "227078891095688030906011037697133994451",
                "330260044552660240140706064848240520821",
                "166051871953307552734695131322308908022",
                "165294947252920984509152635505909563502",
                "135995043795810976078607171440450631207",
                "296457475412064227194360713989719064908",
                "248645471358474343279338691983496242853",
                "288016919424981170934759486291326273101",
                "200498992998760688103834889632901120584",
                "272266685823318009517514901470866017204",
                "146817195684188631020553370746917678659",
                "56947714032087494584010342541262894185",
                "47921558477146899020821623598251929354",
                "125246807782619077131980783373610032267",
                "150021617040299560040106315424136854829",
                "151527274472830503389545920464962697450",
                "225196424046888295947410089404998989148",
                "111344381240655384853878989150746427993",
                "297571187652854136368907642891529849929",
                "303599340091918058774283451151754697469",
                "326270130304210612923243997016853157876",
                "9934527445638962214515357779454286661",
                "168190378019385883967516773963013844677",
                "274851865462141057134856840665820134045",
                "35694584734493723717138103726678982689",
                "50366311987299386424226148533445049434",
                "140377381893205437879382544863089120618",
                "115012167322222868959264990666030015799",
                "209425326267888938671310953529543159756",
                "247207819377775109106109081178181066902",
                "140141461052346755711863517885963377597",
                "317582495277975464362740895533196045109",
                "29591456993603416094177131494935386679",
                "1176934851473559676694582450381508364",
                "252915712968775926055111862781123593067",
                "131718402931103820465891537160663456459",
                "256671138917297543699010048818495291781",
                "228026718600455795348755416292322646303",
                "332827843341413600678229051191962054357",
                "216933393899182409777663460502810844179",
                "107444399759224379378979732610187640190",
                "228429833698815461103848754811856508826",
                "220414892781337918346265099747325936511",
                "258651418592261283766197129989568371105",
                "118201974177166340975024536338854712910",
                "272923840501281341884138574052553172500",
                "81483819108716378795010484537616062758",
                "313675945631402868050648384603921308994",
                "99557689959198199151605154474993343800",
                "187466571013681600704220638784905719798",
                "171418756519975600863965254630472400485",
                "311962762852639744140444469402997673248",
                "201562798021511820943726627285068935749",
                "84091008669295231867294187922577856182",
                "145731466465828350967567457770536137524",
                "138433203379197996152917716569621392633",
                "128341184885852270926434272547751504089",
                "24817996451101346335927302488169053004",
                "11247135181272359457446835838822842167",
                "172566992281518354041105591732304917167",
                "255113803135615242178144503443454745132",
                "157419205333260648646533278925852698435",
                "87731847159700449427625034331501561221",
                "242422182084927048157565120553812281803",
                "161377680854861105127083064039670254753",
                "206162708461207790636275554739345136340",
                "203542654019772790100732911142198300584",
                "267668796927467453772795776372842873725",
                "259255938354396287860346897206708042673",
                "267585938061058008602945539298380609829",
                "184722234260177334940339412566073984180",
                "73984282788516288597084011522418513245",
                "186304331172647096405186514889719442573",
                "80248600319455336754008147519083111537",
                "324259132240217238494904887097752203762",
                "231246795215735438425405925870147963893",
                "228366035265915713195059120162926569662",
                "223995122100222649709855636163768100374",
                "286645626528415050551618384993833104448",
                "87721658053807201727193340572810888178",
                "239714434556882210839940367259688737492",
                "163155462965178292750767423571903668343",
                "60330557164369626395939601457985153262",
                "149496157310572993770001746708094822116",
                "332739694158622183630825462613644349429",
                "297274307982713187248939156069868392873",
                "58741104274715232635711009588244399015",
                "129289024797585402181374530094622166583",
                "268097443784431256014830672801902049731",
                "112205476471755224985900108011003133602",
                "140155357217658406442443256478744229448",
                "26492439433411360462023537214510170971",
                "75841129470112192373666550821252795301",
                "62209617851761143865024639392890177210",
                "54069793201147274510675553910268493145",
                "121636121727069306306599682432764205385",
                "149684866843868263280739292134799313577",
                "259549535600268758125604816295933612936",
                "290849291507109767512763905253393857174",
                "334903506991871290956146678204854351221",
                "252188376094936328358275489529572369628",
                "38719237036298174077581531556884784634",
                "271409661416136301356914346042028347022",
                "330230520442315197249740747013336840551",
                "94511094473313877710894956003045485507",
                "57919065256314636500924059350660995018",
                "281607219140825212260321934966790460232",
                "258522567716616139901470169414147941503",
                "17636364494349482820343855583690193057",
                "258555777631300820764886780422923419771",
                "251902419493030640545527941975113300047",
                "201717188230854002114655699473153912649",
                "224590528279763751992973178037457088453",
                "141257678673505692053387943564008685551",
                "308227561494351247947857350873291227782",
                "248371752169563896493730064686338870585",
                "136633826787310345426763579453814288260",
                "83703388893337204064111577005527639277",
                "212362562143224884631468029750941363015",
                "124347546135874122038352742024329618762",
                "284841755786632576262934484977493408219",
                "291644058812201788933537526527568194402",
                "147138799610609267988830022274859184256",
                "317247447385552279198354728009400623964",
                "253081579773648007241874891221096328550",
                "35963095059024191069671066973307803334",
                "116875787219673964804078547441686467178",
                "268759924318878220499403304946632164041",
                "272072570359714340534514979671445558116",
                "94811849930147547705964678298517328238",
                "143886805565055303881945387266678673110",
                "10088400659807057655475344316109956450",
                "311267172361972491213352987758719570296",
                "218428843855008590614246827770036792157",
                "151355003983235962328631862693439876897",
                "74413123566522551573518450786007774622",
                "115552908777692354044337584367880935469",
                "316949515177315854035390722508794232436",
                "248216958179500145826934748251413981213",
                "279041702289784702445063629941895894410",
                "311029352163163512977835925803422715663",
                "105604607528521408585238835571965832653",
                "196599140705447079991860770253566158833",
                "224039194004821317111745602091202433253",
                "202587207587555629524540648510126113210",
                "267230273391580821524312373941816572749",
                "220922475667477159665170104994745903519",
                "63057453061222267920584812454558186796",
                "243355867057099265717256221750108085571",
                "171096269027410813331214320169966619194",
                "41060294850243298600307698260019023340",
                "172259374519808931917258670933060263843",
                "97801675131400154864776577808839892619",
                "162506363641733261554667217478560651501",
                "215339024451057929287557703590659286029",
                "50281424690072937270024733458726212892",
                "45944901719907708448585332797337416748",
                "9842482827722439560084219097641822762",
                "248823780602115800253665193434158943372",
                "32977642452266983879277452775674506577",
                "147671770283370152474758305094809487065",
                "277727608042166049870280948229142835715",
                "175606812104750637342917405543852145009",
                "99543377611215593277692890421160549014",
                "176426987787325354022312476632481274767",
                "59494177706525921727748841854934922105",
                "256943265981162243376933192018536896775",
                "229016388609721045620480732524636404173",
                "180312255687177334234909660672696570772",
                "48281367277312198296537795337596793326",
                "72590353569872263021788745408620772980",
                "253971065658278094922775086544394138967",
                "323149181440304458099054007989146576855",
                "287887884398192310673583710409875818489",
                "244361038587578585351631829798229959324",
                "122606518174148673570637145135961020660",
                "213935437078732816893515470108071260952",
                "105549878659060853357814068834720922754",
                "304729315293346075206571131622266125533",
                "103002190721268553544173160102949177427",
                "18583227442239773132285777068659561476",
                "188589745947787725307883650696264740365",
                "9886909689411455299866466111070145732",
                "125171267338317265607583889261622958764",
                "78424323043900105489374432459113454122",
                "61952903330509677305172638076711640986",
                "147825975634156575428182336633167043308",
                "312702992707595986958241092351394408814",
                "164113459210657037485462802769849734114",
                "311401723320756832549044035733869533937",
                "209305921774687600552157011234440204062",
                "327377957729168029533112605805074014866",
                "201787854025787938107859856499431272600",
                "231390928413296505132510811125912061992",
                "208183374869935399857839353737772458814",
                "15925041057510945543164398254862069348",
                "269628120591265628758967140026329285419",
                "140960386476301658715684921268346232575",
                "121392614406712761410571742508171001009",
                "235923468778829316843923422498446249543",
                "75350803143043242384887094155668699839",
                "173582041098822893935996347445263742020",
                "130146863949312936805566019328965389445",
                "273776695706220501119680505760005569373",
                "325452627320105636270059148231286120697",
                "53874436541417788849929795948960861287",
                "57394509630213663924954490473148040067",
                "337570992060348532786579620517579408141",
                "325443159635443123902781166455991771632",
                "153053000895169252712509738490968248835",
                "48327017154110594535048990953603393969",
                "217925639415903597314408345607767600021",
                "308834843506203755837237885564592816763",
                "16304973685124802964118427552116500810",
                "258908605627746410513887073187285520957",
                "336621008333384024011963281228199629474",
                "238783590821924830679333228506272098110",
                "126268082677608885387636601284725525166",
                "284630392071142845700883352745972033476",
                "100335663244239626245094232932519721786",
                "114960920169579663278948846274958468898",
                "285868943628226972402030336387118221917",
                "182547773857445860371043101342019799555",
                "126740774552024264239329208693823347557",
                "256875382830124561683461139152091582470",
                "191085329010302488893534058593356876924",
                "9932666072540766251127945966314170644",
                "105144110758858152487683236363676603370",
                "319243654695638634810237816667811943778",
                "38682757008756084526791728789633856462",
                "18670978295482962983957206977118160661",
                "39169885800567801011712854919709551628",
                "77501033816612192953596994471504635373",
                "138955543215822835284088796265084439672",
                "112298183060564318747404640975851082620",
                "293991252903146634888825437639132459595",
                "82995924289823975831041311861915768423",
                "319111102699163912904535439594845994073",
                "307175637568144247670929378826840522447",
                "136339570079869156525754998344460645099",
                "281867674096606585616370417500820304513",
                "280523369892554068379788899251964860735",
                "566431311340058272195723677227761751",
                "253578035194364607023474941018595971502",
                "82161050152619863781116489339268500676",
                "259635145791481457739442528406338103506",
                "192499014134109402095646579251263810189",
                "4595074493260985189815319673452544071",
                "6608135756643709575080479764047795260",
                "202633218836845563171198858410011566857",
                "273493352765307707703750914805096878271",
                "197200648403938083421515131597655005486",
                "194305173815867865781009258720134064096",
                "245235732365173884237889513753326248746",
                "195461148361632240519996955617182626555",
                "42998741162871955262802915687711872287",
                "229733439790495673759543406673658696438",
                "114297369314293836120968059887556327013",
                "187417307831755864338963461834636855752",
                "301930917332062553295371484575669319287",
                "266191294330092834376954556605670456468",
                "236640966101095574512914026972948769462",
                "46610188082072477303609863412897536181",
                "336792422294603940797476795009961564593",
                "43735120042955276124884100593624389565",
                "97826878910488041045071199425594250051",
                "96110740474804768880131117260074547666",
                "169758252494582742954524930682461021280",
                "248982561208929682037638256129460885953",
                "310973707144135604979830075271511777378",
                "57202958447346735676627380537632035117",
                "192255998707050415592520007883004735285",
                "137000799559300396918051844041424200960",
                "179365439925651715747159762007397322290",
                "27882343553788675664000120531760544766",
                "16239439031788545241208681543875010597",
                "94634075274339675006328072440908368552",
                "265547096594355401279005987530937827349",
                "143971401147461658153097533772901129359",
                "162086895506228835769342954687242467121",
                "83007075861995434920779592126040153004",
                "8008371281513069379158008782541078354",
                "99606636088599004526752560076093536864",
                "129749082691181634867846167892545445839",
                "308697025331618495117877690050629297370",
                "268936803719310676761218734513063093474",
                "417354635759547655383039230508252942",
                "286885937987884687865523992392028596552",
                "277112057403574771816869842895492994480",
                "279735334127490322435277492304915298284",
                "292347423426593212919497751558799992164",
                "322240890457954511336313014550856609140",
                "76591463356405471989721421291137724695",
                "45827453599095976238489611467530570452",
                "3687326898087599627069447879675811123",
                "154731906133805041088761018147449507356",
                "51477220204777340770578497994637957096",
                "177705004907988128834552876535829565596",
                "169195669540924231584214435581229131143",
                "124741079957369735397418978768193817774",
                "175038330456057294211699110752991396302",
                "173599367703841742064010460310032294907",
                "92736027498187680144501564263559801725",
                "118592855954972645750913626644595918710",
                "40890773090963309041472684234218895805",
                "80941001247598825257857633194535159185",
                "231068486963306870363584672061824833941",
                "159279857728855049567729893883276323321",
                "283455239240661170065578147972252588135",
                "63721022194542086733198323676273421403",
                "191805966923086771746211854988345423977",
                "335693076781875972405255671072658605681",
                "295767408363358716999751180919060021736",
                "6870099254579749224918494758478982293",
                "283759350360835871604134204014577860192",
                "129430381761853250085570810855650630995",
                "48698369221062615817454548498495153835",
                "268655449933559129396110030822780512856",
                "9908254363206948635272775738320638354",
                "313769191882369860941702596012749277891",
                "277406295840204999594817456031311293694",
                "230491175941815462711618673744475871304",
                "16481060888616497091919269910180534596",
                "92931252296057547941340075836881441656",
                "305520065906496344136625514986935748936",
                "162574745674980557104509426202000349736",
                "235642257309217141157075606253009098844",
                "66777481139056259508452780183988337571",
                "195300760716792180171810124620754097818",
                "234192966663695025052871030274718140716",
                "93191503917587963143527312265671819681",
                "288835269830340194788548897195841952148",
                "174815346233986017337582305176436401406",
                "106568853531835690939944835551588803247",
                "175541740608625967271302460403006578118",
                "318232727037165732569081317072372857452",
                "28797991483143574646692107651633874401",
                "32565122284875074940886519796644371851",
                "175566117204607877100904246366205483211",
                "189470394954646416502414402075742346502",
                "169588174733025392426880771978488479665",
                "182633987779370178917574024196720917927",
                "305034833730556628493261550639672839090",
                "241304429835977341261694216157357599307",
                "49561783389426859735103459917354261456",
                "128321667781882213359496882552762231292",
                "254930657973399061365521457425325947943",
                "126817868649415125452881759274696914804",
                "105668851659156964710101980736870156883",
                "303942277208757276900079325355201880969",
                "54878120646270859891674152696438560488",
                "210972204478233124054787826345148659017",
                "13176515588539804036853132173097217663",
                "132058302067880360150993803187583202225",
                "16450104740462949309373321163740745375",
                "302199636193055496986704385060205198479",
                "98405915328509137727124571789783974820",
                "48114934954027383199422612854816047070",
                "322493864891918776550249668605016237645",
                "204007313620749700378753755759734876530",
                "87985213078811341744090632103031679529",
                "16624727159207947874070476370198723084",
                "298265463810593470990617901730489576050",
                "41310494259666509347863909669555613471",
                "162023898346286139014478938105629954995",
                "158454857368532297961614170736237464985",
                "332255172227905405668056857015354139039",
                "31712559584186327918260590573927906",
                "213926492705950850456400403609787118431",
                "283870560696250869261425551282996995769",
                "66426536568824841942646192257278703807",
                "254762409816515419951914330051613280312",
                "20553264517266980885209876336245893520",
                "30268342255793372384412706369025398710",
                "319499069231972169483226685115576638730",
                "87567250384939031898389796109156546486",
                "150779643449201047963359624385731191640",
                "288811623186499046753513649133846155084",
                "198654016008078251619592161716428677288",
                "80088719009242627372512726003848726022",
                "223177628051131239638909646386198915070",
                "199181688018493073133428129454304000723",
                "228865858653984717363627313404142724266",
                "41696505247006525404984105878237127155",
                "307234490793587600621578896001907693136",
                "285861726666964937157213604936523911332",
                "329970511503677173223888107162642839213",
                "259845005994408217841035630992656850334",
                "248221318932324894727601593451777865635",
                "11561275442596240274840354617102370806",
                "260567744945005127316230674923094055109",
                "267654329892745804549245685528439525407",
                "340176318537251702200409238421344989444",
                "196956048556455796259196336864555586949",
                "70354397466931465781387669997588222793",
                "11151323845079807064162946869527823349",
                "118272477221922136545468156446414218889",
                "288681443675948138357361966839846883414",
                "16949614118781204716218515488373468673",
                "80602996541809238380555415289049643851",
                "124258248016530302030343658811613340005",
                "43942370890616394806183662633494362010",
                "302335325903214429124224192030346790134",
                "275700025126180013709141032475545604382",
                "154596508907853425868059902773997779643",
                "170997820944687532003591147316005012219",
                "130987792868390573563512228306381909774",
                "84406208777303180521822884569799705372",
                "159081751790523227951605298300544320964",
                "294410314397549416115585347286474364549",
                "311552766135392300932412593436289203062",
                "44493541134869227145993942645795868590",
                "173362113550062505557113914555684409450",
                "27699941235223612419873539945799151749",
                "177653615805847324797430840785993730951",
                "156242957237527013934385508340633085053",
                "99934035363119413412095130665255250834",
                "93395598054674033075836423039600637531",
                "767428439082116377542045489035698428",
                "308304805270615499824243181471071031325",
                "113592911078467786104714435709295213716",
                "173970572006230830495722086585580871162",
                "339836759991798396028674102094831295778",
                "214137814259294232897940591367755397835",
                "283900561580908876026987274674644072470",
                "65252721749951214185626256704251963592",
                "221784198305196599764435475653625638625",
                "271444683377885786456019053922422916882",
                "302716714498278773321221393911075740758",
                "330378912976359737460807796893863271992",
                "25565067081957418437057713431285551285",
                "196084796193555654496236678408275950051",
                "210343070743432247524501430958810895271",
                "84055594339344588461920040019213149584",
                "325344285689980380242453206152880664953",
                "305857895333610414806415129631240879531",
                "146431675382560703087861191021228395938",
                "268916193742018023810720645597112382618",
                "255451197220075816704099242407335901242",
                "56491239548633441633923669809138241164",
                "84381780438453527561089132327385948033",
                "81169163527848182544934394817066063526",
                "115936881584825108797874672151564942483",
                "223689697879708129207915986388360680149",
                "176413792570839740197058704109443046378",
                "24986603660700801475009997920789722699",
                "268267901573741062065074666111126514826",
                "13859956895142490573984770952927794224",
                "1408902451721853456915559963888828578",
                "2060782871021304515040946843098367068",
                "254933205911521309567840169441427859667",
                "32332077668437801486422474929225593635",
                "31489067483830179642096075623683133426",
                "247641602552971594500865243910648215950",
                "101589291039462891874613627057729456017",
                "68572349148810130863500933154571637818",
                "93846915053460432538738150519212621646",
                "111054994704649497850563652102435542177",
                "46790271327638618524461066026053348875",
                "118971930971858993543439148173877881455",
                "107758250865964934248283343272157744245",
                "117476566546968621639719444985656078356",
                "130270817260482117770000720828353328957",
                "32504783311833689563891249812963682257",
                "188296406336044508446358705536765249968",
                "234032212088687790021962808518491930763",
                "58199441613480866978511916932873675036",
                "232630002003664300493470309773468876144",
                "40148915352322283948449780194543518196",
                "73992651017934687545304161135557626168",
                "59209765682946619319480448092515218781",
                "214397999913303571244044812675098158236",
                "272084939948644167575913063311160140275",
                "107436173076399366924573236648368991308",
                "208370168203063923781012701205747300720",
                "22853825794644701416643300582507510186",
                "87317938534811615330511375596860391088",
                "204609528013038577861037282936733849795",
                "37885506376158024793915735224636768768",
                "49724012329911679363310510197112028613",
                "147401642488755412250109869536120037474",
                "55897623759937907063270742061763928702",
                "86796614357537315004127410434326468226",
                "262783897203824431654205553012526408668",
                "54668136051523385665554568754818787406",
                "195201618603839458097945215303995778993",
                "147156319400525998727207444611876653562",
                "266466077230371014911594415931367363334",
                "52120868673533352017786972198674751615",
                "307333068650566309861476291552746323328",
                "241458277520967604837073841636655222845",
                "112331093843168911610915828321537969422",
                "180304738378249247289362131555789762705",
                "169915178015692540252752584937232493314",
                "305997689229516266934820849838035152059",
                "54200867270877719864352526176367471227",
                "327468153925655767043441829785895708755",
                "48150959712143855901047998752535525758",
                "123333724289915080607433469843731114721",
                "74231869409868105005101140051323028158",
                "41554225945421128096492374818510845441",
                "222058388370904980660594051994469067002",
                "104835622407430091268685731278426959886",
                "186775293815835751724345343511395845997",
                "46983399824389578533927984806511218300",
                "151327236674301566936178271687113333782",
                "84274122217087964720475914566335340613",
                "138003073024985755458052689768121741444",
                "195924370253129722579031576861111122590",
                "181927563285194679653271686424732227379",
                "128431770962864007254346946482884078746",
                "287043842543019316346988107922430745341",
                "5051781938583263495321069118489264200",
                "90933697384019291243107510884103585725",
                "128140568511324980791417183975313083487",
                "170225886111292054447030602737393434835",
                "84601783909893547913997540142665109494",
                "94909514940660739552207657427775406721",
                "174573331640427418503542240339619661925",
                "154234825920645302136866262327815268212",
                "300624338722654513946374828987851484026",
                "206791324636571794826776564056153384100",
                "67989724580554843027287122178358309578",
                "159279834882674209650003621436317195439",
                "193647720178302530951688950881093082922",
                "23864378466268774226150872722261914057",
                "321035572106997866046541430618445655849",
                "17905547200234837100413164842335193622",
                "50161126179253471562640659496749164616",
                "90005121067669203176434691556179711907",
                "273324058086700835042026330039244684658",
                "212645522323063272381170417055036809495",
                "165414642533469084409905838544080431267",
                "164649378255787721127605890603174998732",
                "179628693780756287757285956296155474960",
                "62303082001269020508635180255722346759",
                "130628115393991678487554296400389872704",
                "208218898954648336971511085585645824903",
                "146233393265054796146387153694838344904",
                "242899759749703382588196220394448459672",
                "279320581373878277905104259617483606786",
                "232187595706853602700177899060157619563",
                "231684740582930971517223380232318445482",
                "211302071990225598922973423391649275101",
                "241572522942201632609153877011762928400",
                "327513505084464041886583052788041274444",
                "330671725611386205238527462534452427061",
                "105280434912697166022437637309486236648",
                "278029104794020133677525730056309604081",
                "145577038674247495598160062440044820570",
                "113432054412299523074145646029010893014",
                "146411330702765137607387043215019316132",
                "55824740308291011795645034356407091961",
                "49078881300520313945892629733928456404",
                "139710923054669103905696906443003869928",
                "13593467394918647865211343074244945627",
                "156915534318028711290861955348256294118",
                "221286660679020589257387372027102415080",
                "22186252117455918472109365757771358639",
                "315705418978532003903420516250185750193",
                "315896709963747759340081745745370316597",
                "145761241686765593329573160428219219858",
                "317181336003828374687221385381019823216",
                "336884983197986988519953729984151121209",
                "235538569075563555962174041213068326189",
                "269965617053598767795061658755371582433",
                "308151049377513727610134381948604366035",
                "12960644343605346642816754908305967126",
                "240007799541656462671862046466645398631",
                "53189287841720602829763920276992645470",
                "75545673285243019651041232622452221432",
                "112926701381278929082222896717526137218",
                "283396657722064081685311449859747410407",
                "268744061685845927499422878759753678272",
                "271076201239635266472647089898664126643",
                "86398476662851145058841769907529849711",
                "312374996033763269013482085209874671832",
                "102358237283199183691772952291371575190",
                "9061281005282794894773969569854409638",
                "82899359173965752179379816630373432275",
                "69961060723219004469185945339948489462",
                "107308994568508539346408042814443861471",
                "83430869231000261380031774244514752130",
                "85355218898198234298712119121600213749",
                "283813990722136161291549863048737117242",
                "145674342883435800409720085703309806304",
                "279213701612457911765620901448710722042",
                "111804132991248558679887410259507440687",
                "164321621484971379227925488059890879932",
                "89637086202902537834611739065208402616",
                "130130250345964740928239850409860006364",
                "331343678643895481723486369498661231423",
                "326754424865495497908392540439306210417",
                "229149196009907737631971158617424516546",
                "265746738615575737284023924066329726154",
                "15840225931012865062542769234318350561",
                "36946705597430891143754252845287422035",
                "290214258595211124532745764948647615673",
                "46600091078484286212760203331909812126",
                "269253430091131566785097499533853386516",
                "223300331094830669995203704316363200848",
                "184173569186586077487251250410654645523",
                "60600729336818244895146274881482213724",
                "201618408616837422315544129674444332597",
                "154787637880566221370719666119471279159",
                "196844554313866767444178573727345059760",
                "161266085273515564684935634336255763138",
                "73636782222598521609393225808452290998",
                "82949617646320326612757673250203458451",
                "144158202330146263005679446141964411445",
                "200348436629644811770566000328165847104",
                "273646259408583383938546581403265088037",
                "59195987671009855927805749817472689051",
                "131968752243244300531386386402803881204",
                "113987070863832138618385817778169563432",
                "108940378523445855197254410737777476972",
                "281513152238324805078994954796435104324",
                "334740493862280166098547634045042831633",
                "298264998622110217478868680777827979847",
                "153538536092649645868770727660815291581",
                "198171579866257240493933246259605597071",
                "29839229416308446881370169348003267484",
                "215581537367216798407422787930734367492",
                "95300932037784659627546930454232195572",
                "273284580294799837327149108547258635036",
                "265423661385108936399674803910952276038",
                "264244525576238895241671209763918640418",
                "124569056875513015980598771977795023904",
                "164075873714727534461655527197095489267",
                "332593089966106199165366523977095992202",
                "145569371176908740722974997610372317906",
                "101554523612168564435668502997505387922",
                "219415740847057907257200606643303570838",
                "34930831405608802341586208283325314142",
                "143453226920015614454449130548626114655",
                "26641289734372746266739369721250806231",
                "222470899625936238486640116926632538632",
                "79226059719873625865649940362146595221",
                "50311874108552691760085331329503093206",
                "130277301166829104849193927658164664550",
                "237848898435284905594591777895803937776",
                "67713084235250598409264050937238612330",
                "20192042923789833130746207751873242535",
                "237816431129815731336645127319266613859",
                "53183556340313790300473828869359148465",
                "211740138371399450281614456849035040103",
                "292593325279668639362351498410828857111",
                "7059380783817799767004491806176293700",
                "331882401696638105005940603621727495667",
                "285554142337442566123060718076083441593",
                "39968670578798594389922659193116762895",
                "55378803380119568084541402342235803949",
                "85488276352329401144687549767617231749",
                "192525859031640513663324102181466196840",
                "89606857968190385739347309243646171192",
                "7499675717868899259732022495758762736",
                "246703261831339970645369295927914230050",
                "57002091250283005642896963741965140447",
                "334976319427864833294928782480646395444",
                "163305319814170865250161995881352637128",
                "314067609515553632418429696703742526128",
                "101236610256245760803321240328149367751",
                "296101722151063663620380341438220350004",
                "123524289098477823209599537855758127717",
                "142374131979855979661434668754210079481",
                "320938186091165581749933070907795320009",
                "221037815724153143278264984179969823595",
                "179665310265987201966666544804011706745",
                "331175565729587914797067802018629844824",
                "172121749714096158584260256858201152244",
                "149965397812722599703541543054860286926",
                "261792824633389094377351456603894134338",
                "5974418990801679812419083433259375702",
                "13401423071518895196926095093346797404",
                "41828710457340163254323114396778081744",
                "325006939377103277065231791254741667744",
                "51078251174015192698321801921570788669",
                "46010525858911867060471636690068639675",
                "149090241489731217141394466486307046543",
                "136965897011386300504803538637008898162",
                "59597847062063045724298748122228591092",
                "107101752221994532623293102814449305334",
                "66133870064869149467073811614875798512",
                "49271883698040329067098813288532172869",
                "55731239244875474214832540759821176466",
                "229849105411064972410233805042847421548",
                "276120539071500861557330338380231620732",
                "237027053000349899090563679030177581046",
                "180880912849313388990121566318608858884",
                "333744477966979450210220198298253190004",
                "15872759915437072124130378909021004860",
                "68704415309855559575489623414663509640",
                "114338858955454768887285357297198731512",
                "56489614975524051587249830829321388420",
                "255508371976490781586497719609947558062",
                "102351979967094510694744665513568847396",
                "92667468732044010796666080614692870978",
                "216613865487114718475688504961967946842",
                "270437367110168762164552895440609355939",
                "80083465504702125430731131082840844716",
                "338600150745030364202017565562465799359",
                "9109824133131995780653919459334350139",
                "280820313568810472597086803405261552407",
                "255580146341272196872455677696817710270",
                "263762223598575694286062090088674144186",
                "255078361751378312555489312624210550390",
                "222285023705455363807642419888044302923",
                "18197576002729694320041566352038387166",
                "219610675042369423882456273450228381343",
                "232314627130812736487681107601314774552",
                "111225040352639773859352390567745284293",
                "278803010425408942027516519224984280300",
                "201494932897555087426794145528254036487",
                "66566969250376980631833076737023094032",
                "260426342307874551891356151875488508278",
                "213175732316108308795413114201319050816",
                "235183550869275712558495363860504832050",
                "64946153702815262218347381696734233694",
                "298522626616910135571922230018696305776",
                "132390608285508330944903042954789175202",
                "4271869850336075941952557763238834893",
                "67574981930256216585379387838628758030",
                "71854504546393477787460490936019669155",
                "147219353829856073271365952271043253336",
                "143337097613654828888971894198177412863",
                "302465721625347326757059712846579013253",
                "285458055596573609208128071517012537639",
                "99641599229110643081272948809703591764",
                "85661021620887253113820701797655440504",
                "227511789200479118324524040336188510017",
                "199091014876695238330500856572045343715",
                "189036922453683317390185307770557286488",
                "210207117133623840486286369012666567110",
                "87339917541972361265420223370901360416",
                "290309378569570674216815468318220137870",
                "151976041185389682351889813188705628632",
                "121226026443348987026268834460735334158",
                "27875397601992270931786431023249204447",
                "7363362809774878112520536241527220151",
                "231791885654718764442220461553166735269",
                "253213745345849452928882283009918556816",
                "300937821889053535031933166802031747751",
                "212722337941610146144678228188878209569",
                "194479432183215099323682303244244086755",
                "283873233444965519935599014831039197557",
                "224146727351852101319602700119905426012",
                "117388918083729994896978109835356021414",
                "246758094201045054566446477526926657328",
                "53886575787804138614347028838512934038",
                "71778331464088478211009661527245058431",
                "71838020023848243063468541079074756629",
                "161530151012229639808850157205193288098",
                "67092901006797484597642238727389469601",
                "308023089453844438812889618503135727678",
                "158532215440221927217608908786246197573",
                "89951341776543245901122485295512291663",
                "217576337512031512141299465206593105075",
                "40761067931232480110829864995290423449",
                "186293994259763095019899182606903872308",
                "67092364873445919289536900749222924975",
                "29125395543895835819695245374008814311",
                "221775482042175845985505794115178725092",
                "340171315641266599164537626060290355633",
                "256508907040539019603023044566049785836",
                "857038313868888952032187583109543968",
                "178536932601353584033430925514352878684",
                "126741193203319456389587385828522803748",
                "218581231813205425523895708901583208371",
                "220419012237900876952942831018395758076",
                "72114282547190187285594009987647212135",
                "322789269350142872392699382490091385247",
                "248081800351002334221554956456500773610",
                "197208607054098682492819282703686321456",
                "149153865399817902594681350984603980270",
                "226733700731035707796596942528970535532",
                "317018486310769993583958101453701744678",
                "295059867344055716583613727379069308003",
                "233479305636092659575449351778360747604",
                "234838008253762508431195079580721741050",
                "258572518650205460098150921900984987054",
                "161794830250746850033074604652213143893",
                "77125711697443406319609399280602236838",
                "155899760567299520922983592107819363682",
                "14018528867846152167775441026295753615",
                "13692069859371769264379897331760827555",
                "222666545698001914796044015001918160817",
                "109328686681565660011095541414287300142",
                "183235049564705154267594595968236025969",
                "255760749684410381739152151959163415",
                "125700243725522004913440644321242672751",
                "238110751350657371741494314219080145976",
                "59544019260782449091500440146470808429",
                "21797022304094986530531949152567617238",
                "235703867959312303724868981490009046075",
                "18419525757395821141235999686702642618",
                "177471893430013869914087016440143247272",
                "114308704626444264465485709892316078350",
                "6723422273844335703072158683372849759",
                "97438697047164899866909375383406047550",
                "137951018436518056465855768535483314396",
                "163489685199593584090644834284176279166",
                "242273629933390954639938239237777421615",
                "140004896379173488390193660270436901707",
                "17784772684397119190319498574247682251",
                "27682044054122278812553676716478228968",
                "153478725257138873231579455456002680062",
                "240171637832222087528686426658525031649",
                "184322942419048820252639356774900900316",
                "222948829772924314186694424743333676572",
                "64113229567235444391203824360415500219",
                "308979771023200999934229623339220794941",
                "289779580060740517668133224281256794967",
                "256333842073014421028959682408240238865",
                "53082800908210324146961644007477298727",
                "194161239333158680143813676842580874408",
                "158554792168871214824081434711631677144",
                "263979557652641913931133133505509994600",
                "268420490039273806522340635362602417403",
                "271423435681958952196800851148769404437",
                "45939174154571728618514773880561002773",
                "324387599630489561315277226868970229803",
                "12496352158880341555888476484482673394",
                "168071394802161723205053970336339631243",
                "314002604858353163784744360916706276831",
                "279967518441465934117656218850124092103",
                "313525313991711164487989763098405812248",
                "289549319161197433636687614773863128683",
                "274038601737273701961176127494441777295",
                "74771993046288181427579701017056357576",
                "153446190888720160871340038158714639833",
                "235586184894406260383263057416872302596",
                "186692742709357592092388496179763481443",
                "254848907767117071892300563370086093776",
                "199940340574765210851806082687470250725",
                "35508274820015578956531176228727157816",
                "161696848061777764643147164437716032475",
                "180150307286050273373430173207556639226",
                "197921554459328679357224566740375108778",
                "3297519052462717580378016508192718879",
                "274701523392934419760608242884829022668",
                "276110585039002392037707653445330260293",
                "212430300822170888497585666073149844658",
                "130090851537641367940795764684923643494",
                "233145704797606510072692384681898342906",
                "305227004999923239547013192859525577092",
                "130108917803124724971620787923681343589",
                "289982902968595029952581585134524218857",
                "181309395476659172917316875677633524666",
                "338874062094287204027056282852817828306",
                "311219912842496922901909447650881089100",
                "259904125334354862188554288859116633320",
                "48892579956073918530923853743156300270",
                "98433954694366749014573438231632536607",
                "270837595787884973226725989496284500190",
                "154811833983278662871605570084025779028",
                "13621729441717616544432519482598096795",
                "203525919033244432629991235394394175484",
                "8008694893880518709259160301842632741",
                "235002852030876610598880050789205214221",
                "235530721355613717877987043912631382756",
                "156436323061417727358377195626075039614",
                "91904075031401802736112522574638141363",
                "284349627179982127094812070507288148378",
                "55947673636402226785647976667118461650",
                "82245736793845483754669675168366877897",
                "106789929050564614759194380458411684955",
                "183554932143566662932541278441131988589",
                "124007489555496488308986955465795328180",
                "77433546805197339947206382995736056310",
                "320754676415379137091802082825530657858",
                "131529084689850189430834396459392117328",
                "189674010675015964729823721921768068455",
                "160344419793772663332432481468603326540",
                "226611658912375649720362228384579766511",
                "92255603139873724638189150159073084072",
                "6306243851979767321488218081379684475",
                "15841988174782583898568844014880242588",
                "321211999896354372406943749993984716584",
                "168089137350102482821602193642479745906",
                "330643044331040881818483384498284515777",
                "48869912497880696562200589892048093110",
                "192196499221548643058347913600150721181",
                "297017324661036212884043138213278180768",
                "186842861485673123337012238569327671672",
                "111895707129612135997215698240756811393",
                "293242027515613879886983865109605368694",
                "123136066104214637908424560947116338598",
                "51400696740232851342859453163611805881",
                "196259592751091405752872484648930414430",
                "129516625559363049089297280772033379603",
                "262759464474099811692818449517123078676",
                "106860211931156822528740456784537990062",
                "129368084079386002056397115097943541771",
                "174844258405257444295516728414856998602",
                "302026172051696753740174215002625292252",
                "96231929301808369591066197517287544056",
                "88749262345396138837802734997366536312",
                "333493819000867754075062137914655629351",
                "191055843868909202110300919911764028359",
                "336717923403067916731298188164014736260",
                "235159210479642159210426936037986251036",
                "88511243840993079797395762973281891244",
                "84588667691804417775708665593069213859",
                "91252680827245332233823289414739363076",
                "91694240091863027104490954584300989944",
                "285624604173192715333638045500011367863",
                "133625596518386070196760805692687074912",
                "185877049371835883105775634728570196851",
                "314945888653816549613916048803610967911",
                "197566281464889129954476670802843290020",
                "195593069302626979496265587446320971232",
                "29789583788654559243255049247200946694",
                "105086271236423586019447465093225676803",
                "320207268296563017373940353864483125106",
                "249109915199640737366222183029948577430",
                "227527613447023262254412200492802008805",
                "272766414513530160002265458292553864095",
                "280043806693637765228845803493723890022",
                "295570537292779053665947798203637522686",
                "116714059273998963607681652341750779754",
                "163655557523585478144873263223442736429",
                "201696488425387181017316680941316199829",
                "85993673020565217701469309415886734759",
                "95863614392417629124596578037344171971",
                "279138711465601703819619616216031634291",
                "150298121857146904813766525907220006958",
                "194286963747874742840973022869636877326",
                "304873343746005320882514994212571412379",
                "66672865517020407155490297748831522482",
                "7774547290704007526304534194315769910",
                "245883301964317765858545127117553127606",
                "302819078548445569977206544328783170714",
                "171462023958039911196024224721885909128",
                "14375381766008797965907640709323881348",
                "65273150476037960362309121964916618786",
                "237817584599123678779072124077816749908",
                "32747764041890293477835892465103032815",
                "254640324443485037347325250796066622376",
                "322263203512754155735218795469384848421",
                "44085619920205395083953411411660143623",
                "276760449558203252786019732174078343800",
                "200143865141971714085297417090429360573",
                "19942144593749478405834109928925891169",
                "230918657847676874396915823901857075552",
                "159499006948328538503646877763335923245",
                "166262692158459732167047602060948233644",
                "122823271283236874692839514520025340868",
                "147348886241623561327983328981139075400",
                "75820740024730840212879041194523547797",
                "31559856076797622090580785555902786654",
                "319179340003807432249038989406523572659",
                "62202174221036198416691555910227108374",
                "217751014615448434598170480082291698989",
                "328543323682387397098999960075030883270",
                "150957654960298868810053127494216255036",
                "270644946240510643534568601169908657447",
                "137629245500562705214773323096887853257",
                "105271920243402921627592173993628184814",
                "259074506855477999278472985699269957887",
                "171399254874747049190717993148782071682",
                "8230220615971160025526151693722877299",
                "317735129884276829380317799050003651038",
                "51630983758451105681824438575363376281",
                "293971054151735735692179495360571851962",
                "311198366175966870825692390676965506789",
                "177517224572426016373660821159180970504",
                "318090111708796344598276326316026797109",
                "151035557627241901223672448783618729907",
                "54210533552609500616840990419829270502",
                "195621763832680480110890518753435191989",
                "186367240473465184010394639736865063516",
                "291600700722781757034957901478956815252",
                "332248872039779085731765593464195026932",
                "336738578757190167165784621252799138394",
                "237825625303569294928890164999726967707",
                "338049945270767242692599732961240459216",
                "106924243533112384560652004564956654805",
                "164532870654738840833779073196188960033",
                "20366154345036434772078831736478017400",
                "58321727592182369213097941953091918706",
                "208084869005280085080769786728592630619",
                "223116619534332813316833098401031459319",
                "209999189257337161984813121921897987594",
                "147196292011097946126644689878731319698",
                "110492951914646048987532544922465729778",
                "57429718359832390724023247852425182863",
                "285421723318297709626456298152537203045",
                "240393543889805592413661673218586424158",
                "87539386005730294263094733515362825844",
                "36193594898191701915637667077376828823",
                "13578186241617546371524058719775515848",
                "74679257368223797988181098387874832947",
                "222588377308210599140257845037941892797",
                "146820795503209620273478164345247080024",
                "278712412713415940227390108990808194173",
                "90759815926958493068530598561101092157",
                "274406401156549939080403880603681407981",
                "288606958337107304635958912807439288039",
                "131289023564933965980985132836220699739",
                "294497682324798642963739914937278850782",
                "15297993232328533906882797104489285413",
                "145613141441143365033370479708794039726",
                "78777642180239897954468809599736257502",
                "184536450898117064448559226917816567748",
                "221737576734540339814143527264454042945",
                "303282754982284030130388081677947493172",
                "325114304886117741143573248062294641220",
                "254337165923976040249426732036426202597",
                "9946957190377003452880264337330816575",
                "305753605851011117057007634897865255974",
                "328627493042589831384949769145501469079",
                "192567365529742034925294482759246526014",
                "135774945586186001654912005415125732503",
                "86081724007290264451379227811790685401",
                "17862006293673056096021459328043532810",
                "289209465089926972080221861345777977520",
                "252133903596824691428508479653310533202",
                "283238149542584462808416494850284210747",
                "87382220902201670919627338529906289205",
                "188429524805098599075981556096863690041",
                "256710295248794553289405364352001630009",
                "45985801054903720255432171887197142562",
                "243909917404653032442195507788522790562",
                "9537641317856454178032900513765596917",
                "231934115269320623731463363786244218888",
                "174955436033112197563841095242045560112",
                "229026519240866681622029572853083530515",
                "61415547817639612973321469979326470627",
                "128421387189085243806419799906938362905",
                "287413801506907628427248442678574281457",
                "284330264597833191980931556795378557186",
                "95636853668696506477366383597422848168",
                "19313014951401359171525905798948365339",
                "134016753905350334621332943816875052117",
                "190268228890879338563657250983398079187",
                "80219526991162515032374429564375916622",
                "257063087574046960489517765191861674160",
                "37733049159399736046427392479948341447",
                "152222923509896627761019520823101720020",
                "322642819390058553852439015779447557260",
                "285015395626372171069047003282535845588",
                "214456831454171137688445076784403195458",
                "333202654032578634778546023229937146118",
                "278175795496998715518270659502867841848",
                "197947476501659452934619296220570834226",
                "10850117021256658050281954297949127758",
                "61935001784212837609366731759809865847",
                "133928969353461834810695649274762134145",
                "52670247699784442111233185132689183781",
                "51883791936682780165683940714017354442",
                "305208973835555450274301022695933050139",
                "297484133454564413315341551637157296025",
                "245046022163388333630829905864981001110",
                "51440199917712105994964580012121862525",
                "94779238362423503732037934120374354707",
                "24864674116023118574242112499136677287",
                "14683029331690959283831259226340303734",
                "149253074712852946786589097122074333013",
                "260941588053856090985904336004897276647",
                "56305519113363608840733099754156537501",
                "230596677145511870075322363059057938643",
                "24524026522735808654611892350272305358",
                "132189708608566284744348409044151658773",
                "91256200515646480964824685958022383438",
                "187991513560944810124411929450542412875",
                "282087834343862086167175960702938405",
                "19133487129058085804444373483818726687",
                "36433509988273155661522687971396054555",
                "160919479863305790134756816614504269444",
                "127637377513326966801288831582841219016",
                "87157629987015108723689214535071120044",
                "275206378668622129502378627470855258027",
                "197750324990905521282381512769112657094",
                "8430244706796081335123248434560943691",
                "257786941870999184338556380730563564203",
                "198985216358892100791675117314609418777",
                "318184339398053611312063170804727412399",
                "83204045854143140117635155199050072788",
                "184649358139668843543365057367089105782",
                "139939239160932955122298527959564465584",
                "330760273113050826470559472518593235656",
                "336845212723363293457164160364254787394",
                "20175038218758039111957316376428206389",
                "265326935930482778573884593721107626914",
                "94297685093845289606133677682096610179",
                "157627119002421411942153173875081320953",
                "164353858978309748135271333940560792834",
                "148770164697476193703496906370727608368",
                "97775180146758637774930287659533028905",
                "111508745664604254341582210143528426236",
                "88412327858325049857236331126734725352",
                "181611303742612181705597147372024140862",
                "48228100398354843904486971528999420160",
                "78784510818175411986555162957866273014",
                "10527793762363802862535201527668704529",
                "19168563005349551025617943981378785432",
                "286419284585116508201638794480774825357",
                "56447699620424257258654031283033308441",
                "209046218033471784000781692009858627694",
                "20668243760635016333412042302512908320",
                "276154666484414957261592228849879786191",
                "254062399728063683089454917070423831630",
                "50590881839245285950935650329214070317",
                "85637428284981132981217439615228926089",
                "159581496398573332441119283620170465968",
                "329019235050878683343012544533108146920",
                "8850605031096004555087295809564541508",
                "336164363595942482063762601377340651304",
                "179645590831835450223855068731577510534",
                "163429145801241467816082079482233134747",
                "243626264884695629131969863025227035302",
                "109940497508525493914461793001077761423",
                "333460753924114238322737987856633287620",
                "210480415611770530875530647446783928852",
                "97438290276142472789037436638253331663",
                "48916219001748463789628373483557329261",
                "200137115020199844151183593486534869094",
                "154825526149435135989723900931585673601",
                "285096137223006914925607289866239589988",
                "181699725866016183959913640334657974167",
                "295849548482626999778402638173768219312",
                "181855966199332453781566361879951560035",
                "272452505233492302146304404883643515886",
                "174115594572425797298008544499628897684",
                "139664206938932551247718099567769073206",
                "276965069984944150917679368127066691372",
                "322557704593531676619977623323968293104",
                "108432536204383942129529715961723264882",
                "246040798259892517856889270465892621230",
                "207386314120042452977065269725524672488",
                "26888169225580352826426463354870454330",
                "176276295478658500550101825618330217374",
                "32418967531616622460589092553614074144",
                "39052018113144631071635319162066105766",
                "221939396316522424122446994603017109031",
                "149777160140270056144099051795284429299",
                "36518861425019239992838164857726215679",
                "316181288855092173700751791320333088119",
                "46621817529870827146356529746129198340",
                "113035060205350688871576256008567682267",
                "213921377235269515988067913935147938354",
                "299408479609404098959136487812395343554",
                "92505485237267540472591203792235813914",
                "134927278978922785199269361951428707699",
                "267577943340943176316161647340485347602",
                "148001551775868225560717355806529611813",
                "50757325701030650256690635207964400553",
                "155812532458245393435192565994201318613",
                "260144558384312207725016728484330798347",
                "82400474017613764203605366850364606810",
                "325016353758684877607839775675161610415",
                "120269898131151817782563660073719139465",
                "305815001436293123830721304274699740179",
                "199439826409292435053427826699650849057",
                "292184248677827774358875615609347813247",
                "192162939913170863792289636751227876812",
                "262285253968002740306149432197882073492",
                "296179857323680593163098812519877941336",
                "278794012372675980528605359766859284207",
                "108684498492090983827656689572468125020",
                "317086710632093518009834104969613476917",
                "209491795747763025704637805312159881681",
                "294020583354063580075801602216851861929",
                "330074426857271988950923796682988407369",
                "129943800012353680828863851213973636528",
                "308096958641768691879138960114452574308",
                "65225617072501267243789972736674733436",
                "69048867706109599129011452881267570809",
                "300142997372652047449196663341756030401",
                "158634057194479714541013112010480043905",
                "171165066867733086310983813513915898949",
                "256744823564261621969043292729886838788",
                "60658002311228375198544446520194869174",
                "36084188698674573773810521382058165188",
                "275373384587649419209928406919520852077",
                "192847738716730082727189767923299031208",
                "74521885846885535448307166464101463226",
                "194035082773578488540300670460872551000",
                "81384121125599254326587681855720578519",
                "10772997450314883467551985301962564054",
                "290398158281228332988355409085387906995",
                "255361787304088459232536893767105281918",
                "157368343048514006581533834943379333924",
                "265553681533616899508018636875005692046",
                "301483907065293832154637525775277467969",
                "252261971605150562984538463544813148721",
                "157184217414497546719488033364898955042",
                "124496213665722504929830110975868909466",
                "53739781613684062140227050571411706969",
                "67289469075635534602250376156633985936",
                "329386508120563617349704344613238059897",
                "304166975583446583266943575286434318401",
                "168574345848275745178696732572819937623",
                "256688634090276079837906577568321356256",
                "281198506290104007994123788112721229151",
                "8502725886125664103070919890685884133",
                "157398452478361205999660484496697724036",
                "279743224534500630264842139464300535743",
                "189577865241772029972265546961146404180",
                "291896666916653761232187588847409387624",
                "96628254253361650713946976410353693240",
                "134052355193556911045725781471535578064",
                "257717470050248933415267989477109123188",
                "76356511244571929279047343316869749798",
                "162044174764053164694030231715872866177",
                "215727180234833606172209460201542584053",
                "325888796480499427262084008366518838400",
                "225277805644880651623350027794332995756",
                "23369218271893920754512404483660506656",
                "191572551877229289588522434686804877868",
                "273597050402916578720631727268477161202",
                "208891857486407152056052428669338233502",
                "26714498281770291269261901715432724376",
                "195538062857375254902372974748277527418",
                "166846285695090046713554803005317948728",
                "247158500238561394925065416418257146606",
                "317517341327363783529221238791573854790",
                "177492623555554794361696460955990183144",
                "317673325382660028400362897470833608172",
                "243644957823222039737117894657489246366",
                "216330164920352758495323620347694680845",
                "248274668575511813043660156523706387088",
                "272959399752866282305214443210818476988",
                "47323315338096966848520735629105744200",
                "13731561067800226572879772434739691275",
                "288672638370907226507309054610012771357",
                "238446464461790907879905577706023062511",
                "306086124399529045149978923530825514977",
                "160900989064534226018801940044498947840",
                "191310535719298241541709907701875157951",
                "19143312660033776870910202936378761442",
                "72067495727381061015607691656113087774",
                "116529414391608916661713691834397873656",
                "26300872152860678226215779703783639474",
                "217488534128291501390513802628734837597",
                "217173448235799773423835128059283695342",
                "182157938658496092912203417198734303283",
                "320566994321925464658639934194292520168",
                "131263459502992817199398328175765468776",
                "197815295705508418881360588309738039408",
                "323186984888556701746040864195022882732",
                "301094331657647187743092555170859310521",
                "103408329393109379903717618059337259357",
                "302238051316079683109538708477762103352",
                "19750741713689268535914486756102326582",
                "59156107893547598808705394004044769612",
                "224667461893290849485263990230998282251",
                "249017338443543124950885368350572693457",
                "15806485421244441448786063827780355307",
                "108064859730788236012426227561868630140",
                "334850383605658369228668223521240649300",
                "301708154565263773972627880292726309973",
                "303520885008462683920980919704846555225",
                "210234373190056637184820619914736099914",
                "208549992012563191329567117736983617740",
                "225537001633890768191731626077400582980",
                "222965488973766908306638521517974987471",
                "202966562498388619829742231952388478684",
                "324777546123408148325804083326516043013",
                "125244958232734094325374085473760854456",
                "248845597720817508275575187970494692862",
                "17976641976816116626125475960064534750",
                "103364447976050004995239341798764183628",
                "130942119413717285962531285095816148165",
                "337459614952602239018289415588206416555",
                "266080056058716663602368773408601963254",
                "265955524075514134875180186456166296528",
                "162105062857138943303203805448191980648",
                "93655966058229814765773772012203169706",
                "246461379988294745944153209194250393567",
                "8548381472992618775210143908222582407",
                "144903969989798979995928549790042792664",
                "44911351588470386224238947906951308045",
                "154202291594627050893071405970787181372",
                "92124765342800169041286486831527777380",
                "265022531784431802499422559480991107913",
                "832344814957420998739665596227305691",
                "2534407976471290979354498066148832960",
                "275276622367650364127261944591279489680",
                "45328504416923229238576403774800935541",
                "250271840032846801730451938253804411096",
                "265982309838340213979478711647702316538",
                "214345735153835116604731840516806183271",
                "284829927110387388605530241271864078318",
                "45343517728871626691893465486123090998",
                "167754770446960584757302283098287697558",
                "280859803238964518255825647527259027005",
                "82990545117235765067797910576323564065",
                "12662405882185054679761885306815602326",
                "207022663421220188745852143131151164877",
                "202052333326683670284034347318599379044",
                "24931229985996520138952526341371485025",
                "80185771166731949303480794871917493899",
                "83461933946022424793315034891433697902",
                "325289877698152292162654063607700348689",
                "183721717635220913919197359173906841999",
                "196010447104845903147802394538669148645",
                "258820750243835751162853152879946508190",
                "280671617085891231635207712742015018870",
                "70390950093468952772033781825503714614",
                "249572245215718060927263726164998707604",
                "229360670648269496260376812518269252695",
                "4072056801592877860387462968781656326",
                "128074308353061803414831991432100999965",
                "227020789656095792631052071584944809958",
                "106837022371203875028973800415293918114",
                "24505735493446035176692096796231362775",
                "261256910757023104222271935704548569273",
                "232666606753173263179156147245461170420",
                "328346016982533191452724042119323032441",
                "136905466104619466775984653777387881243",
                "299292373630322972699457946287963541846",
                "146111234186315704241504469391944666117",
                "221239363128428070784815470030053940557",
                "57921837540696465062187100463809112619",
                "330364913734999576629339894221750902243",
                "39102313247287021674646037203269760",
                "84258358338303938212928927434941389394",
                "304308733468011332739903667188254417557",
                "64362918132358520497731661164537551276",
                "93569412306606209406862785984235031581",
                "187233481116523838498763272461010373382",
                "273401325935128789732745213101565650549",
                "117151239160684852703438183922927617227",
                "210048244257501985620642609231995011462",
                "314258867681272912992022872107823730745",
                "250163815855807371432385321653072914141",
                "176077291442520440974782205140503663874",
                "307075756371588358375990277735856986769",
                "72316432132082320325183777507806981104",
                "318256214532020255569132140886835629144",
                "295491735122370088331157750447247453752",
                "62366705317216501196948086985288919055",
                "320171003187375583822429103276772924672",
                "215042473468900133472594225597862158507",
                "37352808634660190240615907976101136220",
                "224464785197962430255506280781794194191",
                "192322425474238900347133697010741801337",
                "240009740335370389754074733113785958327",
                "140167498474660490279930733657451307650",
                "212491970604130187098151029120737320650",
                "10784130419866340517361253278767722877",
                "335616235908458196505408668992988248108",
                "303226588103946825285066750634714623881",
                "31360637699097108961321265094900471250",
                "299043414593705908672069473317029075080",
                "73918904670005483060563969035120139146",
                "324323938583946431079022244302874484317",
                "295692614177670074634363222038122254899",
                "52557882093649778893232129145286550401",
                "226272366273429631719758746774906829649",
                "326483342690306153170141777287501022178",
                "15450329153420443730975449534049163421",
                "152775602383824292997739163125999216167",
                "197351368773915537365545405472881148052",
                "193060854125357043512802748321386502699",
                "78744423387027420889534232834004746618",
                "333360635628813137912801840619203461166",
                "330242261123565311845464621324120789874",
                "92741523320698346019333098983985126582",
                "188467145594580672280329095143289122357",
                "3710700764778946232442747553586735116",
                "13329155588768756436480001616594498358",
                "334820444061998352828109233903868874955",
                "289871160442976883551443844124518930090",
                "161817819153839123628599491722948210816",
                "154987898781631702699397769783021203609",
                "260596531077926200666607524140250968325",
                "118178699422277509843634773518235611622",
                "253921479988745806715218641886240315084",
                "173428097715573880775990735118952846519",
                "272658278974567267981922750203970093181",
                "87770969530338242679555541832539560160",
                "196378382946160257074040925272183547495",
                "243098526104896137103038725899119613533",
                "222674480225827479142803130894966684314",
                "112629519628834988069553206118429666377",
                "327114280786507204973707958847012533833",
                "198048727006813139268944496266092772025",
                "51800334413409891150409670947774116079",
                "124321805197752178249851271871523104063",
                "2990493011661460772992885200416225181",
                "334598272243265811711888683301830703416",
                "215524035608139946644253589344736722505",
                "313690194115385880220300926356908305305",
                "217499360830837886855572550581387597045",
                "74559121642390646082414082031013429879",
                "195837338288418727436087127438436495517",
                "227957946131477889486621524472888063343",
                "306296434682950072804977770150281200615",
                "76331423605850707023613548229279224489",
                "172655224646211399493686106718828242099",
                "59379359770911220328544281432231651538",
                "157694393721546803130332850092150884237",
                "113909724888097114698742815849965897536",
                "264245625876906877714499260097221644742",
                "36002383241482931324784668184195746858",
                "27836943602555900866729843973240023879",
                "6465137007990713176102472613069047453",
                "115416379642578894657612103907548736145",
                "68535323452795777647834643782460147147",
                "25895415579486519196341180228927144684",
                "68275373748932732505182415474179178060",
                "231261106089288310075371861007619554254",
                "19276812543182956751260296964713323946",
                "25473934120833096930878559704809760607",
                "110553379759922978379721556124966631552",
                "303534205333238622704927883798062864512",
                "259593539380398833977674628857308164270",
                "226666363217134245885964233586881999147",
                "33550042407502735964770988636363072204",
                "220375697075014957697281006369872906112",
                "150615431894597606513311495328631634424",
                "175160954939912519827601683161127751889",
                "13301061343369246142473672963270934026",
                "281990076009473075356520020527106575285",
                "31277017408420789270990291500460026385",
                "92169599275416713852409086286581594729",
                "186830515199285542632890462890456186661",
                "335600628315508118229232604404601529021",
                "146445738452343253182955271955948697567",
                "221162430700291222948075747210321059819",
                "212383885373913542615546487653396507425",
                "227534198011393016308562211372400247563",
                "212833304831416071756008650380922487408",
                "238119495455034008974509012080857611535",
                "329326854482677823281492290352858637716",
                "95600875482300241317238652795776627083",
                "223530858211079698253403439515795702015",
                "93309170055588716182263789979703095630",
                "10546097248325244990026272100429724160",
                "303932824728142990638754681838695887744",
                "215433750357794981986943329961261897669",
                "158930425370201661473333401153752461980",
                "229417978949334642558980078979119195542",
                "202322880689787252463137410765967652420",
                "131662248517276139900715831432826685736",
                "43515389625447510292739044329156665226",
                "206147747602902815607663082014517091851",
                "220719478571563534658667766585023084003",
                "205299512651221876977831550846385435298",
                "130684312474613734776681044764585506819",
                "38113975126605269997622268366513205335",
                "202434135661747026373435280570092242014",
                "231141115064371036846685240979841799288",
                "271630188716779924142173317608124710378",
                "261993417827602786118516743252788058491",
                "220282539171554316331486606150593397183",
                "294036738236143956215313278874475945640",
                "290997806450363123644689955138721787894",
                "189415006021423639250298512152882804455",
                "187677796236399274907908461228982414828",
                "300004781559358683163198439325787259087",
                "334237237916333957776559316637585188585",
                "247758975973682635693946775843659286084",
                "158789046969396620263972864128372995852",
                "38774287438179817523423641777112791761",
                "157434447532087754200442308021314708905",
                "512204308365897255440723619490312122",
                "183705759322351865255345895120644077532",
                "162870427031371283465741683455435344400",
                "76961717352037126056094461034452980319",
                "53547773136075747092058556515760341096",
                "134224456747104813506255626163630880705",
                "218536757326521298429412307089308180451",
                "526982388640182559861490569919270230",
                "261383202169260788868428881126018914443",
                "196144631911831688454361315114337378564",
                "29698632296907466656878347387609202287",
                "47209006532385869205330290894966533919",
                "286824759043317329269242247931142612977",
                "258723309556237808685768015413874005662",
                "314332129266941573225589544793324687299",
                "184445543346885174139143205532258388510",
                "306612492115452439687722118393512403611",
                "191353686081841283573902217437095824677",
                "27557441502912782952009204987344493678",
                "165460373489643580504588093606713413742",
                "128062384618843757452331891359962194701",
                "123864430787713322427352913931123250747",
                "308509105864095409791439827261437305150",
                "119268259864793374125454449454649054946",
                "151789495327304363826298999987183595515",
                "38653017831969203057886638914042908110",
                "20484004956999941435051051303551784191",
                "208989288004339233445773739673739718222",
                "327878742870627208446587960455843531256",
                "259983608214252265737589103775971888452",
                "45122425050650549122815525533753282376",
                "247179360150819655850245793133664764147",
                "246979690979428488750089169352029516894",
                "208992336420898538090333890196719284999",
                "133587172121634365878976030290090278180",
                "97877934491344697723482397228319376072",
                "264971669067726821950321847010056764087",
                "239880910740299726392782630852772789620",
                "53029342462317554004753462878024868079",
                "151503178199792558079206927313338251230",
                "273481152272110954155814966653017338982",
                "234734883145280352030711462032960174342",
                "66740032373269861908814194918141977336",
                "210356071502616325341353833954784166339",
                "183410864150698366005375373921814232588",
                "209021325436182389980847490720149098869",
                "14289147144009755394822268132991692015",
                "117902480525742441038238861282529642024",
                "202614901621502673225306249122827408251",
                "338876865581579967598015763187569731910",
                "52723376094507318046283722268592398279",
                "117115971390373620731026447239088570650",
                "91306840387225403679642436127025926776",
                "145288570854500636409235738481120148572",
                "300676318292742231255631091597584963216",
                "300785112103427290406288836532308205502",
                "114724293139842136447996249828597381528",
                "137459943425100036340220917983877170905",
                "48009726047704290448589261350144827823",
                "312572564296705652337148912538318215632",
                "242564452968127960161159200566782932552",
                "218568403825364708715543513104451014085",
                "78672626311048935765740074809509730754",
                "18721432756660004839457835019721317529",
                "55551205152307719883973724279121422500",
                "270003556850533785617779525354743261182",
                "299306874526480102789235216954957444362",
                "295387766889933122850275524460795019695",
                "261532509382521812788787827468230427849",
                "240629524495874133748576087713866689878",
                "53230844025648127871673729649809994703",
                "129210895918355864166387390654611759336",
                "149183401130947092912851372403204847677",
                "229476470827543891094260843039091589770",
                "317439758581949548133956925410244011368",
                "337553540405920795541714535504873403957",
                "189195860444683395688019174707225778659",
                "240700661751490665655979080926635079391",
                "205737708160426191082186371929625681605",
                "325449897135140119399859708153537785398",
                "245402566407028978282514131406412826416",
                "159769454775973953132020869112699362804",
                "176656075335415298184770858490564171574",
                "107532724672858748459950382175218774443",
                "165252130352423093074961895227588868668",
                "170873296960961644380677754809691950398",
                "323078532061280117889822885868504475828",
                "129014632510583986457885114353227577995",
                "317865217518940466146657144223227532414",
                "156788828705356336862499730704907610675",
                "330280493833283068535858754813416890467",
                "19352080347556297457303368197371234435",
                "71756224052051728623000981402300237",
                "72253367225048450941569089294227712493",
                "245313672095082052216327628847981303592",
                "314669087802337926408253288355914007313",
                "209005262379159920048750376417185139186",
                "299860963316525273625885000267509448436",
                "189478679022762652333924237627312031467",
                "202078746029111974300884026875952021497",
                "128254933024302351065213991627458075394",
                "268756760874755644134305603021538988414",
                "203175935145457353755674858253120580827",
                "66354370911681577799762665699225163589",
                "143921441341187367506869761397696636334",
                "158426846394471118854622783811086312100",
                "181286600684076352033541254941642831095",
                "218482860928596570604348372516010842188",
                "258758104383211193615599198701939028841",
                "179948145869843139399542155858446084142",
                "35145599935484285777179630321035404843",
                "272088769583383587135932689493123420012",
                "73477024836637402499131924893130617534",
                "321767652711990363539109724918397597614",
                "331531106665027507299310343004529935661",
                "132593960489841864613176019459797133403",
                "144561829045315116151285758124603390985",
                "86980916399682746041640756523335399563",
                "135992321838895959976784812403572454046",
                "84471954602410238779221079731360957338",
                "44864684322611155780162243834976383528",
                "209051479831602191826706155649716227581",
                "210028873530624111582433464055736843431",
                "58770366794205548980816361603024193784",
                "274206225345877245851187300125417738449",
                "200198163115898733324715332151805591170",
                "222138096452793975565569711299653547282",
                "103779550111228067520144150898781698393",
                "8302136083205290482826775547298935632",
                "265002687825592462098812967740565915828",
                "151267707893464609331407579793573802683",
                "232046571089847458939983685974409337324",
                "27112590086874568298054063667918286728",
                "269475506197591385429966811179568055456",
                "262247477310077883583375265066448310761",
                "115380900067224485907238377400061305971",
                "161116529922639544649670413792766147293",
                "135685491929600440972806939456659802332",
                "301335678292493016576257196541989133569",
                "306515828890500966060943274996584503003",
                "134111196302348704920042808912046461920",
                "131420167238137330292232009679646633599",
                "207654366421585201864574751914534838",
                "140226337337461063305110794568185284471",
                "119086914720893476178178987259707898943",
                "69997986553068150262413241577416607473",
                "162581323693719112703492011729944426478",
                "238574034890318301698695003887487323338",
                "203559065618347937619878301965808240774",
                "338096608529156946408646611436127060465",
                "77624013965859691496183820984004219900",
                "203825729339254639057654758768068324012",
                "328832062338881490059042639888619402135",
                "179751272663278463764403879478579863144",
                "23621721051905653546588587786104582281",
                "191300898671304338147728350837152637862",
                "338727168196423050268930258561676861698",
                "57346571814518148688500864262912593208",
                "55652062488000619368075625881611421261",
                "157129023461821144442306603794881364115",
                "253557119711443860627764169828749249498",
                "161062395666391164880811543248719544446",
                "236938272466357616021491719797173258023",
                "205341004674312630404573312510027422387",
                "77976780776978445600687704549235824729",
                "40638022544316577904492205650540551747",
                "163496875003415394388765478093448493030",
                "292241515220607125688701000552703932993",
                "124193250779424216764449139781394698980",
                "304603406568905254836973357500911853905",
                "62379517098472059417906352961908305835",
                "210409173314915168880593048056385331021",
                "258730442568809394101749986273963778453",
                "128163212998458051583150992216457337252",
                "314890324801663116343451051766222744036",
                "122070781585475326334263950817750570607",
                "141090295386026567889759334111294822058",
                "3365342120856215068782434747975624912",
                "204014701657967188983537498479339896669",
                "143672618720739530977762406486512589735",
                "327661781117832129992730862426475655543",
                "54642899039308245730288743430924059411",
                "103471721080779279647346865517091058740",
                "209765646419578701581573371886783992406",
                "175309101398050722465542671379858292129",
                "95245919936267656058452254709684464959",
                "246396771677882982994318990535555877560",
                "262050465755688612617691400725138589244",
                "256135217337607821756410428066480979158",
                "256692588299510207069966393070113078020",
                "197571676805004098999761826767170583438",
                "206411153946387596605268196316112020936",
                "307972622863070390175292880078859617730",
                "93762509043108144467760077126258224310",
                "321747459033863334376673479237915422124",
                "281786047522778418241600285288726496052",
                "35763504897584914616157979657326117813",
                "41386009062391258647112637391894733936",
                "301101086377238687507909644064155309334",
                "116743089363386339269146607425005483445",
                "24346109634557765891447062175973392176",
                "116664132819214071618866312585236247",
                "188204726760363496873129922804616826160",
                "334976038807614178756614240901210606044",
                "271473045246658789988531374524621774145",
                "175601617514802062579708795063745607715",
                "53742395071068591322198036673175577327",
                "254402494896423615174031138703259378745",
                "106519647555373941397476979029223802790",
                "55421309182587485089186393222498834984",
                "47055950731049111757656436135402724731",
                "198358939716650664122633306545875992461",
                "17410224420539089576080692841711277360",
                "257130465414537223936112812654969520819",
                "20028632211194046218231673511301599559",
                "97833259503569535518988622042273309519",
                "301760202723767728633991063554441416676",
                "325556302028410134139051177893628190091",
                "248392292976673053428940189591211485781",
                "99018044391344744465434881047814761863",
                "222325241497809616482799060882901057542",
                "167382770021443272607702418884406237734",
                "242278002190991223278673676035873402114",
                "216123503466574936016592849606726962390",
                "214452426571234044299605762181866659235",
                "31286236217892659904239301271047943880",
                "207654686839025633764635232189243499702",
                "202473478746344836313586992291770593534",
                "98536777046000222145900637227533694396",
                "88558660866973752480447475048347004457",
                "80650633618968338713283845480224375267",
                "171194706458689300871908891960088784219",
                "154446265493001690223446591594030049868",
                "129169154431371249633401065852042871635",
                "276790608718558376948759075480268085704",
                "224543430072023784803005094277634394790",
                "232563901487653464445205065799414487235",
                "146962301821323387619463064244772073435",
                "213276582395426411900090298161154044026",
                "95092420627307758977832644088071419828",
                "118998366760427089073952863765032647733",
                "39240033286704689935604931565347623060",
                "224383930454403725817423934913852537933",
                "278049771124507737648422442308915288449",
                "130951426814071702335278559189538929033",
                "231072619571736777961639327237304379017",
                "299356133638419717495697419145943292217",
                "129572088741629598840028297047566361565",
                "296378206105852763495168682992990279094",
                "17702903825554430045694590712685959818",
                "226640463906523424747913231701007770726",
                "139253212408577061273663302428967179104",
                "218067402043310630108984453498460354819",
                "160268759005299559672700471533641219720",
                "48371861758125331285961936630908290146",
                "159404773839146502264618741912876321142",
                "142475664425528280238702327739896307634",
                "146986272978968781169888654296806680116",
                "62884914077695463859378483079491469504",
                "175970094988339793103180377104905241816",
                "220408918149975696481265912787099900581",
                "196622121172937825215861366530659197598",
                "38651281732135693418433571740551953286",
                "212590827001687242793861519173602311177",
                "238461268095800033369227647795220602212",
                "152705454238168957114992427704219867927",
                "109339072689078439402451230793070522609",
                "291455173468272636766492890042871625016",
                "44435236273313287609203622103317732375",
                "328150467094347428586344206839298204295",
                "65340770688821400544266300088492461890",
                "334539379550259140408590272009994668462",
                "55519896808480336997683038000075089115",
                "197152568970636884058159327963236035238",
                "1505458311467408009877929840703302323",
                "300888945447114434471014625105129020996",
                "125624008830794538323208241756348436987",
                "207328577640976323751075710859675346150",
                "282171847494958267629285851312138533634",
                "220073481725714939275295894357694798731",
                "53376199647549670354311611726832801784",
                "92320301432197330640100531383069950117",
                "162396274107861241559328272542421637429",
                "178257001422618594667087295334761858063",
                "329142569013215984400557925964738923386",
                "185109093603833780686921604089547918399",
                "281619567735513665060362579778315818019",
                "66519815048170590155556953057170788793",
                "94771580541706620927531908491179760497",
                "6382986181562225858997909900536786748",
                "23609055401832652829360515756511674594",
                "185375273670042536001047467949976440266",
                "323348228711938911470961006041519261402",
                "131648596531642042289219131013473344795",
                "122067973382128005710751795536679740835",
                "335647271351657074791560564910832098183",
                "143400797972867841024985616157464454618",
                "10455084314127236970385396467396336838",
                "272631444500268887468046604386654188028",
                "335867099618180068901531053087807055629",
                "237449190801467946738238891172467457417",
                "199974885141226040540942948560177326393",
                "160663942192908974369054052631337025644",
                "111308813184450940391247743478396209329",
                "304214850861865737689500510487265611546",
                "295606525138995615175175007427303329345",
                "63603181020233979674542061522025738424",
                "116214475020340656111127738162105409922",
                "34029860530943028428922516485758879007",
                "96165938828747857482968078344543132711",
                "139246991922105823559252356267036119204",
                "226142849575038892460251784178222302175",
                "55650461376715471569871466164198321108",
                "41771374464859661339518818512379523233",
                "248520851490654600930355239476240058250",
                "179223894313692860097408534129258244190",
                "197866482869178208278196875868503987663",
                "191611166655192562982062811358664011808",
                "179805174007891574838762970863535503566",
                "26198383293035896897924536883970340520",
                "111950039735771883526519649441620917989",
                "136696363226882134733889506875484673264",
                "136656936970106136526614158467102435075",
                "260724005520018169236174805759980967921",
                "139836986685732539864183864172872208478",
                "21459553078793420609493956791409734839",
                "35934335019475861746385182009645167752",
                "110396117375851249189966446816810503709",
                "289471661542191247532962885582706352246",
                "76466500899903314598237918385513178266",
                "48811345471756757066289970173326018505",
                "300270156368259267483722443724116477796",
                "175350168789479638045548529021926783631",
                "314251785726018340441741903135492584051",
                "187221048427467316853409515095209091238",
                "313089930841169372084065067157383765418",
                "12230179943372398747651512491644574779",
                "270524333004260313107472380588627822063",
                "314119019615727751773526039718690339812",
                "330625888683647961352778492497518087867",
                "110125133257529188981645365455836745907",
                "89575280470941105058228926029487271413",
                "281882189332273029326923537948463637020",
                "197134042602903191635269399755367034689",
                "144094894237317028051087148065239799733",
                "92609668577551657775580504311589261092",
                "111004180654721076349016656909513929977",
                "206317711670697802755240403085795596175",
                "266530667835970910505738670839438134712",
                "2671356208719807820579936712392430015",
                "296414873629584341467247912833803268541",
                "33710676463082741343198601535273739038",
                "184472631201776856814297940969135611830",
                "45787561027953250585753703284636963979",
                "134445252523709256492987005092560216309",
                "214094002405489698397330336501049200475",
                "7379497026959348418359562414443562604",
                "63908384926317563141683250252729261625",
                "335255512271274981560167291192353384781",
                "184895600069318656848258723420347216294",
                "300609366034732736117148449456049342572",
                "119098552235162573234217606599371626745",
                "97817341783390818098848695933801536739",
                "168146334419087366099057120070316054847",
                "228485468153019822301677289530756092048",
                "255570064863603624146710027332307313828",
                "235881144471695118884575630941653511594",
                "237665903708777976441800364594238660287",
                "121361990466637450024709391070722920424",
                "147111374005683398085479458428165311429",
                "61319440937583922986235745050464840135",
                "314948581261749443913192925495326905524",
                "309789864241892030997820647009991002935",
                "315932531325251362889027946731614809459",
                "99089637599554430463816859763335618857",
                "101906905330994609731960339598413070632",
                "277266998507456761674622784429969806153",
                "134219302027955042535860571918720292712",
                "316825651384522181395710892947637177430",
                "209868498411748192121107631728432025879",
                "142363773826039380375093874132031840834",
                "316890853554457779554540328120770648737",
                "232808859797037974327887696565493675197",
                "34922705658289932647886110635509358388",
                "292437531149536467314512873791816360131",
                "184504174546335104264445476931403302959",
                "172853531358535621390206427899352534636",
                "300173733063817813980052755425969754842",
                "67116578364662548231043085550944134343",
                "280432236239379887216855789294126021381",
                "287023516501765388834679624446181864429",
                "178939186547342020010785820656995106765",
                "43626700757817011042342669958069741513",
                "151442496001760669933489140171999769943",
                "161389967835110551949767842375204043698",
                "142293137444173591703869782245725400992",
                "245421456217846681781546713742844238049",
                "304320510486734739615547980003129401865",
                "300339766836119787728500139808970652307",
                "22140347567942301215396672266482829481",
                "103285428833810801441428174731176309429",
                "11183276436863196443793355187767182027",
                "182654165303028242729109992043282647610",
                "28851332316924095503618272420058437659",
                "214428079872912312222538073660782547138",
                "321783713218084728257799753446004205232",
                "323086002767571008230889102573574458754",
                "127524528757001127164493767847906250670",
                "138888412580201094915816184793707474304",
                "314956387046218962460983595568892918170",
                "97355266100404306965618587434390260858",
                "223379560384879612223644312440314918449",
                "213347726288620598659166789290924223684",
                "251918029849790454000311885999405096037",
                "310282108605623124794915391636252565215",
                "127204508086924940669263626291648716840",
                "176690075643603498318795759165190758744",
                "21460058529317535272206173820202770701",
                "283153354675133162039884510434443537038",
                "268171677064404198870749739688067299663",
                "260903898303845566405102986085831452710",
                "172067491753877511993221560981921330639",
                "30194880738211970726567120475120880154",
                "332425372505939435967043357287861224434",
                "203926771237881228246452547013507622373",
                "203879762109156731962223454927220658992",
                "95528776826213087434200210929447789255",
                "271949092664665834999027305303048505620",
                "68886877956424599727345531084623597069",
                "49625889097986804830281410495210625427",
                "30144677433155897864147251721356389072",
                "17795036837158941217238972233577451911",
                "180887806278669966958325672489733871735",
                "337605624733685446377333808902208291656",
                "348894591975074250806482654643059938",
                "233834318002138266338930943636963597366",
                "36173825568907903990385280182364754023",
                "290064298856429580230415170085206364701",
                "60935864590595756320920779468310219886",
                "250816763892898376283969738482186944326",
                "243922068541199134031025779616823200021",
                "29021982890224200954049986895807398994",
                "150269242027376489154366417398933093210",
                "81152808614616433116727391978618648149",
                "240053160401413405977324896266281730915",
                "338248183284540441764028167063508288341",
                "164046285110145169609002877259012231580",
                "179097952332724209594019311237431485806",
                "142447658092516964362535585729224721008",
                "83159283122271682090617183994845084953",
                "237181298145617746935717937960669057690",
                "70058609119322404312992539775176588079",
                "187387797908367366624161118505365717735",
                "298081353046856655840892358549975429588",
                "51530255501560373452781334754709020704",
                "172746052204221147314046118876653414511",
                "188373741438574946789599060775880881973",
                "36776759750505768402175117047958814117",
                "303081295214067873093084831883157578016",
                "110817593010503446232765493044012137619",
                "327621944104432441933392360015596878047",
                "60388357091247727291917083204399429365",
                "66458403346769727474832076224955230666",
                "321205796930975652983860559677442108447",
                "168125320796600821308028473534937326514",
                "256114453589228416437813237725014211481",
                "143634684809040294645609402496357595250",
                "110164349091254032665358372865878240088",
                "269346554423057097052541493028079041819",
                "302240033059705246823587582004679009885",
                "80592245015356766835301280474767780417",
                "218172905540274602641655868111239126658",
                "254865298586370850331229260549258581411",
                "280842081964778116492399012638275641797",
                "83359460971056564315277570738384493684",
                "187462320390160067002848784558701060784",
                "228549800899645847660928171083127569660",
                "274251315998718891057272783977721710617",
                "72435746440197131514415198415149594700",
                "17375782891406022312026376472399289145",
                "297288065053351058569080168398213713040",
                "150798824937894613879094036802776610413",
                "193600418853378007731968957676932677406",
                "16130597878494205413707615677690734168",
                "78637798635688710367367385723454451188",
                "50568648297425049167895182357468330210",
                "155813019451399995552433452794639312803",
                "294196952784475649150292796310845400624",
                "145251504446179776132958993091303908031",
                "57522707056855958696626067430467535999",
                "204092941766845815980399054193150797066",
                "131260846339294804244880981616551209475",
                "232171341866056218515533545868123961122",
                "290815469730020349665088856512155514282",
                "313112442285755060999500387605317540664",
                "15813527792136065277755310575782333526",
                "31995411142547675763995462088389203878",
                "221226011147432071996780373962372171593",
                "241716898156376368324728546388838019293",
                "119952541654169636950453571936184465428",
                "324189240037687518686077153786577003757",
                "6409544937276349831613532791254873869",
                "92838465127430391526986017867022309831",
                "147320593206792476575931380698518138424",
                "337158193761270111571647303405972424549",
                "142813466809704183584032456924579158052",
                "252275662493196397350712146220094978991",
                "10625239000194147480747789332313026751",
                "161636309152676468960518157982882267805",
                "309673364754931531844823309346782553524",
                "148554526509705987528426918454836871856",
                "133580372980790210830605362242571435870",
                "310510859762992792859661481803957608478",
                "147157119557679386298408894072114301554",
                "151519643514341109935830737952820718154",
                "137512673155149966712020308384276125620",
                "149796226700572897217604064799355492555",
                "219175155014954903796117397977182991144",
                "244663838909475043780766436862110418903",
                "13219523580678655629048077376371533256",
                "229264329368444570968630193716940196768",
                "153459442919198249977015685925779435596",
                "600283389723645640011111882562575275",
                "313345736838250534479353188429503301684",
                "2342142426344559334872787811164697289",
                "221885464158631616634067566466301894215",
                "227488431585190403128682535989230410614",
                "177703234838450771117008208689328405551",
                "94869478542761591740673226229061676001",
                "339829415382162940435090528110964658152",
                "267758695534101102177864954421423852782",
                "91980399849349897199044469030761813974",
                "268838717515691684200435985683084803115",
                "87706058076684987539769637866994955969",
                "252056428624447629735386572103964869385",
                "73858225306816063955536021517767761762",
                "194742429293136401995595752347479569356",
                "78979745128679733501534775960671449536",
                "206572015701026250603894692415636217447",
                "238122715424443502896464627075466204758",
                "180978997436654127613289135132503166247",
                "145612984633591667611347951892145676356",
                "58816159786457712545994298808206910649",
                "301960784087432962373704434820223631558",
                "67980638785294018973642426058482744519",
                "74383629715431500119675354129790090556",
                "64969295146247897587563252912772087628",
                "317710607667738328835304049728096390272",
                "331365352896659410320523370818096938604",
                "50154827852271708548023672918081881897",
                "128617137586059771515628350452671713477",
                "173817656692011267910108829190174555379",
                "296612375581081265255775331115214446098",
                "105476931393827154103151385302903448951",
                "98081964777259700404159509679913073684",
                "53792622662231593028641962948044675799",
                "29565615317708834304773288057356640162",
                "144299729813081335893078511638430069750",
                "124306902203893750254550782928207451932",
                "154844716844407794104593774978849491178",
                "160812181961375139564926793826390409483",
                "292177711001249902846633847706836037837",
                "33300856043691673703876874742678863023",
                "128288128722221562503036932369698583451",
                "131065004474950890598865907784994078271",
                "157323074170731841462617921538315559961",
                "221328387966281629158015852691542711316",
                "162174623930860663327655125856113021801",
                "55111303823968504990345926193525225387",
                "312539693619580383145114445720790560802",
                "148950144051830915443715865269744660662",
                "80029461315695770001054457941809280925",
                "268543068036915892293789191459653902501",
                "102803072443910991957583388449393720419",
                "219473400225267510989277514073577496760",
                "27783782282219209900568987331762746819",
                "283278774175713805304597626959944229367",
                "177846493852991782236691115567348500651",
                "239929356840754575776866073836750925113",
                "338471513326018587450571966211885147844",
                "195648825730659148045146066626085989866",
                "21998626460078032727711789907855783735",
                "9485902722270632103567729731540537571",
                "84520538278107906593841011888518937234",
                "91884356023634160083778541801828565702",
                "84121112797140345054269388356264040666",
                "144991952054583915164848216284687869133",
                "86322227349163366535314503443503671803",
                "237961160194505201520025948814714155570",
                "158125790711589636766043797732351438099",
                "31267972684040867892052486059098225707",
                "2418850981802235930817943492621956154",
                "215525695172569316572471515668004461507",
                "123503017088853815071578005827480944945",
                "71484504516317967169262129552171607634",
                "276417189301977638983676431833698206554",
                "210709711665244074426127255107603976290",
                "270714003412353817348284281011080869198",
                "133615325121422168703353162580690409912",
                "74468368143502325697623906132885224303",
                "63270614262078841653845229608375830113",
                "279590275362846728572910619316987129735",
                "165667987222228467357233979119439741274",
                "123099106526137115962668940183297084568",
                "184785214351764476955562665587715275041",
                "173888950140017352183536853198834023432",
                "36279799720121682608352130830549838406",
                "32713120733423622904861118439692649007",
                "220069240277486536942798358481118370323",
                "269275307652999216571128598934717693516",
                "164387370788441264415852359952130969136",
                "161054890856352967628354618936496874568",
                "208781650928366982398906278591781889431",
                "61034294632283690451562548280499572600",
                "40554542836134079183129345764400300742",
                "240021517985505744435777601986810832647",
                "37571562659311148939451637743611565937",
                "43730152687553015625341829130195814551",
                "329072052684544366636212027844318339171",
                "176109811746591527479677457029236524756",
                "93950217230345215823068518247373884387",
                "183421621452679504036501356501231418429",
                "331891178359526588727237676008861340384",
                "273662036229965066922340296499892993757",
                "126571955394589344503044748435036521096",
                "225385418968498707232927495125724884617",
                "223308527268087829206502886663156550842",
                "81681155981531817420239403630618670422",
                "114357888024868720058127077588244423481",
                "336938265900259528292586608630958446034",
                "282924050420497297853712305223881161228",
                "92470897395862416951626265779262830383",
                "296399717651222280346064711990149056030",
                "280470973826186275028172871109807594254",
                "133098913099154005176647849950895084534",
                "110630390986824851785696572396543079591",
                "89942266210192175510118884921252984128",
                "288461814861469726910076442271817980595",
                "326414730554504317949049172604482870244",
                "146276807931864199041312533220244141298",
                "36949848213648768031707753829141000631",
                "337831663075829024422364150043105811895",
                "34983246965158105087437319864550620949",
                "32060721839841493852509247927063412619",
                "108504804546380278188348492333903309053",
                "277193614296018864734162148525955180215",
                "262757824116961379423831797008883744683",
                "94842893644282443852846667102974432584",
                "331271760153880504403081826000071971157",
                "144422727972671295273622210236760419370",
                "254355977560227923097760710729297774677",
                "57409030429585366778593127656367827659",
                "248175289612131996299277065178014341946",
                "298473151343027112450744635228078972131",
                "113530316333617642098122721522554597557",
                "228356267829370891983426018109886774490",
                "323723086463749395916001919745930535059",
                "164999105594781164563065336567420248868",
                "9212698473200109325568984831182614822",
                "241783379711681198820834610120105042103",
                "304370941273352898952926109706203642705",
                "102576668980849984819467985985066777178",
                "156407460612987113572767163204589588442",
                "76365281482259799488398227167509597659",
                "311189034162100873460300338765138428171",
                "292504382165712792175314293313798485036",
                "308769311880659989978404976037161375527",
                "172025961148261146861236218186553533552",
                "288584251090482119935068982480595938063",
                "75034873204182481792922944807617576016",
                "92094582189456551324876065430741809699",
                "323070233813501913365737501624542309949",
                "280669609232400446946681943910174138471",
                "274761240004662304519411618739738656799",
                "197814729490312873827951945911756295868",
                "245261747716128447327472281674954569989",
                "222828078392140076784586493210521532042",
                "223369396031824151203884775586691964994",
                "216443492516350206396030983813507217038",
                "124524815068996162198191639529709599845",
                "140098105854934325729631227476888748324",
                "268499382571798184361269843292866395839",
                "41814894460848739545844674113675194579",
                "290234880675216643498510627363731120900",
                "223828913890871575766455591039464900928",
                "182934264383047962981162762590369972266",
                "297859346833400920766385048395777135536",
                "25396758219669917986371410807626208008",
                "203733875060959164609600775827663773170",
                "234853592926006544122585229389870323534",
                "308830932315222377849748928609463403251",
                "315300260843574641056210995643616365311",
                "250448821601490681219770140836270155210",
                "204009119457172741531354516447084303024",
                "262783450743919530772433068560299574869",
                "60775527198774095260062725549817006179",
                "132515930346660544744986894457333463962",
                "297585186574896319098302504002948879852",
                "104847745443446955088165418510917469024",
                "146812530966270204108948978214736654076",
                "77563984996743041818253525642485044797",
                "265620071391209707538754350298569738352",
                "88475401799191265427428843910326759619",
                "85099869100571533352900953417255489489",
                "151489739952281531162915835731307671038",
                "14316000364623449079232860140758545527",
                "225748702366262202213472696420903367453",
                "280773211570905795476039923622326357458",
                "112626394246062529590600274556561537790",
                "318334852272138757501254856691721944146",
                "250014500756448408252337363336648946080",
                "94024398537388083833180611504804236515",
                "275384134797935746024397186597942596761",
                "73346268176006016984697084152524550118",
                "315131214741151248768136396665385963548",
                "121526821799430064684514635311794977556",
                "28076686787784070550028054282671849111",
                "330479339285289119853479460866998009031",
                "205292491319342400563099194058102005898",
                "258524600272607712427411517110202535886",
                "80215014068728863458050317401637660957",
                "128168385288144070884213867772013918255",
                "173981283195433809518377323193348435463",
                "313579399066009006509396954381738604184",
                "63844030377936364903189372954168670287",
                "63272706892271236145560101793507490369",
                "150951998160589045324206970875848603193",
                "129517429296888081765379782204453279651",
                "146983798522119705692658942667332529107",
                "214582587724449555714870222800979411753",
                "70533362374567724311374221934304430445",
                "268679557186483954838574071201070952199",
                "262663065664506254351804253755887544528",
                "59662066848120458342187153299798969213",
                "203407676536748719461879977846326702665",
                "151045952465209567685023152790891721781",
                "117789465355486739454378375380937374890",
                "178200001755827053975743828293140420527",
                "102631438057187325512515392190089770605",
                "226136651917509595121253098842030220207",
                "36418696185148149945845888136054566878",
                "311905022041344629494310785883957860046",
                "42945350775125497104670222682083569508",
                "215795888859454929454765281789187831100",
                "200755513426601035937634947486037789643",
                "93014091820481902374104913785400898104",
                "105672398294267201830310393670237709954",
                "17553782102757149445332372590866358744",
                "322740206682199849501754258258175156752",
                "272550261443881914494504392293923008614",
                "61475167757683426117029659068317066347",
                "203074370141412059418543869535853243909",
                "315210917552733547421645790116811520815",
                "143367351490134561001906029493504925327",
                "199621580140270321710996139115659803397",
                "114597731100742571222476436608333508208",
                "142182299578766340588724000334442451424",
                "69090799359579713789293923777354380849",
                "266986337627331607797488483010933950673",
                "274277969294342531596866274958737916094",
                "269075982798542972528950943608335089424",
                "301029020213178721712694079689922027643",
                "39132020652112977677324759579189085827",
                "226416585578188309595776365708451832722",
                "175075658158848079286681491272301903370",
                "95002258590865037357442908569652203551",
                "197347849027525755355204589664163315080",
                "334645730362490554114630466859866143950",
                "12441830310117657911776453746019516412",
                "67436471572166196056205617689852484507",
                "30153262053105515678032528985192982705",
                "198418282547095060404245895602976084219",
                "263620174255062998841693511493888242702",
                "307855685169923013681565829057063914980",
                "115303259790723926183168227298276132156",
                "275269663016071935005393476522037123512",
                "46744987971180856055464658833104617174",
                "108041500414415857250619835717590428526",
                "252474709945797919841078021288049064729",
                "238499241395780527796437563867288987037",
                "322788216419906085408114112587549916670",
                "165620387768124396879077553366896861345",
                "251738377585913459865950592754534155909",
                "18759335578317258393625634886235164833",
                "275072335647284532486161365907315640715",
                "287763861304728547714433029919642054939",
                "155814983378938742300083528565856628696",
                "94707558131746877975957300891370422350",
                "43273814581395278831048392646299739715",
                "300541651841334032368258211336760135147",
                "157188914407320103277009744336669965203",
                "43909647997088299364715493877372719456",
                "35679685357944107545928963727323525450",
                "86505353523798163150292308790670479408",
                "244003935053803432603810295816774561141",
                "279858608631548484423391587692942734452",
                "90129707902553877244659391511957593459",
                "15620602389590319336899276748845528372",
                "178408243026023968193190438599193821525",
                "62863762859447182797659212690744407447",
                "77109082047414848796082155027332811776",
                "199287409949136544614833050012137221328",
                "115711976249852580415360256647399977101",
                "202341764783259849649694015288974857670",
                "106957266271894861758884036006666848327",
                "98452493946377270597938900257831752311",
                "223221147108805672913646545239019420086",
                "26548127671290171765007110638712191467",
                "103124651656281679002504391465485321013",
                "20697535918987500644929043896410392608",
                "335137329651455540589021043369424649454",
                "244125737922122490355841163184448575599",
                "167089151975497540770376507289337817690",
                "204425833264362101985133436814861328987",
                "250622842643872953104313016975416195947",
                "164794279744314315795573975098099538716",
                "289622796302187280127315877956273514664",
                "259761132364658638224224677938438238958",
                "311287745322555728852693574604923380418",
                "206249835169657467116378261872971535583",
                "17003538529204495112948592065491940589",
                "34825249846638965940652673781905211690",
                "74885380476958280791385497876412883547",
                "178599438528135035734656456914246041448",
                "304236415400641955675104376350691754110",
                "27100906147779700631927825536895947282",
                "327600696217323704170450216018165378858",
                "190898484458856709368020482682860311358",
                "241030283540508754731466687599082770558",
                "227539093612234496002469090657796097967",
                "120441918157850600438493822816514461268",
                "282864845445577527706601403371635751899",
                "67868881194068557875772340249714195926",
                "324009485641146439985853260081908225141",
                "174935646488790032345265651055832764842",
                "164087096439595331321384129949589587049",
                "313264413818561119938240874921236661497",
                "216662480655556336935952850185483741041",
                "213485661576852059867954558875276352247",
                "216183870723631840533194964918268105957",
                "246779244732948922426332754119730127974",
                "57517338791555349196368814255674024626",
                "13667496710143719608033655296599854470",
                "276681009391347610512448481467309667929",
                "76575958074351277898864858632203632391",
                "337580099762096495612970122704550299402",
                "45153964549661930383622978064287772957",
                "113795032898030690293155301474258297689",
                "152750489498218589255122458704127164267",
                "97729775439851744797959556281295312390",
                "308771765937721342393983564041246990119",
                "205196671424578764081420605029202236591",
                "105706553600064033359213668367758762237",
                "181570473219269285164020716068713576126",
                "262806990006416523500572520127489846864",
                "320820109088239560104400317274805589962",
                "271915732297832250294931643969201787144",
                "242881956574982875447485818051818438630",
                "283789447761754433523266503729200775652",
                "22860605764059503572273070971000496616",
                "64921380252155323216544285782648483026",
                "60638892331734164383170503977011094798",
                "303186344428523176992545516749500786489",
                "135057906467176964574906959060759574979",
                "235900141997966430041712736460460795716",
                "81000499117064698876975782309636185441",
                "322498350057419885898095451041293456383",
                "150546028660542393235254285853384968710",
                "17667973896360346777437946899469106370",
                "81322424123586475080397784804587547284",
                "142382512630054187921489996320846892181",
                "316884470061005209399018880795888208714",
                "172611575300044804054403387654180984167",
                "235416937319603830537399188571645222441",
                "136564648060622361621002985841300882028",
                "313942473218328921020153704501446458944",
                "36627917189524947405437430316818848859",
                "231584851197030081873654100621803857089",
                "144280975638634021406565050611538839760",
                "229353517678756373540608311856565496515",
                "274041518638666506972009768901607683814",
                "79889827848754975248769115220990265613",
                "110764647910593886608281059155113424460",
                "311805302562635617976799546394294080147",
                "57039604118427487753764319631014323675",
                "79981815668676943131248548043193731884",
                "206700845486425495681723608875772592454",
                "176421767496592487430826069259034649257",
                "284282261611074668381135730022459047671",
                "82980896668117958297459012464392184994",
                "102306518869454428021024881593338725234",
                "99701068595994809875042985692954009275",
                "165521531247685714644343788942736983965",
                "12336123996521766211457019309370102446",
                "43395780446268075266802863332249440649",
                "187259908027763465552701547856671140614",
                "9923031832715902694892827021036501811",
                "131050408170862646793105459967113829828",
                "5977345337773048030666732210723177297",
                "94989644879607735083092529113103200976",
                "226190137769650586355041062378704353130",
                "19459808561876910311979753066848189959",
                "159020423017838385665599572970457808199",
                "155148102036681315203964238465659605754",
                "229659239635653433371953825170751025933",
                "223619033068829436965283282275825518755",
                "245910435211029075920139791577293240916",
                "308859865585049155835512002582920001306",
                "247903663535939987370239162190642586763",
                "50484584440969958133222227129127915676",
                "304888641178211124766070990908786917166",
                "169981739315224869766016290900419697079",
                "254375150034428484925314546696193695100",
                "193483373852372316809338462945146533466",
                "117266847351419287095678852854261585333",
                "61873060934571778893676206295477075227",
                "135134887561755938213240679473309814660",
                "266427897297203627470168356973715920975",
                "272962359029391021662086103472456455278",
                "43589791468090666933775135756110182237",
                "319848665400998375521769489287411922576",
                "183935530622891217084273718834974806290",
                "241932352257354638640222953000248555520",
                "312955002912580519726207406897586475916",
                "207012027032098456892105469787581340765",
                "285336527813033250740122238519026940741",
                "305342709939481056805413907314377210270",
                "82054122639164683183788420476567743284",
                "188570465011086639595731832486788577106",
                "52755844199741953082818768927628729162",
                "214467829005399703934530315989762047731",
                "29483298663926449110910793838795869083",
                "141752400052957547098146172709408684374",
                "211116629648132768171541048349872125447",
                "115419078359462079194122215573439941213",
                "148469339765854464822819958677798013724",
                "165823488311915657193890333050586024028",
                "148921544419579189866126021311205790205",
                "252870875676449346775933190845556382924",
                "333369637243796609684441826202689705560",
                "120673135360793507582513929083028031182",
                "149936968329582398773295958949250916994",
                "156749794889335193225268559377510352306",
                "304792905166112480896952197972662951690",
                "214029347880220897503987060704514755325",
                "209716060334198405280800732350780399687",
                "307720423613939238008868046812898894501",
                "21221656748351210306384055813973180704",
                "115459250025969611441248882034659125061",
                "229405179497884497176989228060580744048",
                "268847025763543625827015616259685741400",
                "237102206896050596254896392110986976922",
                "193507875238714226309614814640895500657",
                "48655888095306379840196593805793610162",
                "108812071129017858845444086665118874911",
                "125302768865959865684043442213355440933",
                "196399670442654907672325301510461269296",
                "338203256863202816038000612702508867333",
                "62274731086576328386500367237507387820",
                "279819684344078619920282767922137549034",
                "123773253015045353011809386911779349005",
                "96209034164844071532716343761234126987",
                "29522070961483073428735308770795075151",
                "54576131177034087763347911594109433082",
                "2764492992309648443290840718562609337",
                "175249506583482436975648699657144655969",
                "165836560443206283620986451493410097313",
                "62752890714241309023671869677071629939",
                "171444854463280583200849935876248526492",
                "206755895545672110270668397983641821046",
                "40244759598919319848387580786502290593",
                "9364839234864556314229002500547553707",
                "286987384267073250969645817787833603419",
                "77192540054589617852161022397289305286",
                "132766233395261207882522440532939318115",
                "67703831954996470445290151496187826416",
                "246985757372081135955032110203588652780",
                "165911852009691212646848909921824438885",
                "70263398116281584149680478112534383174",
                "123305539774862870408015530041619132466",
                "139359806678113698070953017608713008302",
                "155052769337246804192724846431573631627",
                "71693495610914708189420401175035817914",
                "71371225582735442045298577107276200032",
                "264742875033762774540417805456029634456",
                "305644307563983417867157471069058766571",
                "275230576480102983331062910697248961945",
                "73768666469074235638389905599279420508",
                "149788694729848133127744746895560143912",
                "36454852725369422492853032995768202020",
                "331984132670343003966041230555343543406",
                "135976876185630409532098299864097258150",
                "130213982774232944140643869588906463480",
                "300940614423560670620954380513522603778",
                "290566270858035720317118997679435825317",
                "64956521943510397009571371225494224204",
                "87798741788488926332015371682229549764",
                "223732069321399640886880713423246487208",
                "153120134197359642693435118373850642617",
                "138775004687873550046909291478405403366",
                "301702037473883050175803421424192190414",
                "131118044952059349919764322008617502558",
                "53796580451093872971640217134240844080",
                "55665557382620611019085239230108478832",
                "330444548236131441615482490398271370441",
                "305987441958308955134255224771852720779",
                "136386958318500365183344761198500511762",
                "261614406998282197033413276782082373952",
                "200218294855747950623654573007001132791",
                "63946070348707456815639925980712211774",
                "288141691215274741180007712707460882157",
                "102914892300804000063166470574370648401",
                "156849952097836191893136303153302793301",
                "214344482427279951519570858373755746745",
                "309266648620852463666367087931875958379",
                "165090645076555167489103577041345006267",
                "229232843898417676675040306917993904146",
                "293456974779648772142171796497661091394",
                "101356389212860132622044825661740235081",
                "310808153962139823332130383459718762344",
                "120498984777035718970114999766582007564",
                "153545779060584635218815732101394676465",
                "97625917547753857368570257228864632465",
                "148599443120973257631244944386904148793",
                "83198697406249569672626815618485053325",
                "258667082445034335599424860792474550446",
                "323119724386988572253776056638885961683",
                "195790493431720788051531357611441676050",
                "221717282377618124123472892556891852051",
                "301047740798492783774766442160973420001",
                "21536594591348396334806335626451151157",
                "250964084912152747950395015046830796619",
                "108814998368866601343569459082008013028",
                "325873992166878466748926212470811914405",
                "311242541473863092556172976567037700928",
                "50892252776703229096208621669033245086",
                "204932170427786951831655930057511528149",
                "286139706946548067477942928197811130198",
                "191223324696307428060816973973925130385",
                "305540084658641707829661431156771381447",
                "120107680733012203114036993933842503059",
                "226354125410393421107002746117271033097",
                "142301057165120021769273360186067178482",
                "109827846104294872566251040713194943276",
                "339929450338043307682786917945124265705",
                "258281792030388450479253757765298624258",
                "92980264451604818328678863054819608140",
                "177544371799312154736599960008405931701",
                "106133464769750949214396384360509350474",
                "30855852057004502849029284395943894481",
                "129746782705097357769621057422194417268",
                "52731803485953236720443036867785422231",
                "252364563656587472728954535860169208786",
                "101540300468378112606462667831206530796",
                "92203998015961617928390854119259228540",
                "270758689015597207369603912478646853450",
                "243375499107067351023517387982360208032",
                "243344339864886183973704482623149058678",
                "50677418287886029361689767691460233074",
                "194435609534433085761131690359942671730",
                "52360361747194720390111648657188113271",
                "177010640595534107567335066949909445849",
                "33752211316337930792191973968919356803",
                "96496499600425636328960115250357138426",
                "108604758881169243450108460705796593205",
                "287591114665069069768295877206246468776",
                "109446143222130356995968534421425068359",
                "156221520592594691614065400593550516933",
                "298879068139141073641588607546684971862",
                "298319904800462852915893185822624813066",
                "184273589300387464682392939365408171645",
                "253215534638676278944152341290908197455",
                "257310049057391664425789967054700824917",
                "117338716776468235068252527261555061959",
                "310434545957912425741662738422017383905",
                "275788780389323986179585294998261327739",
                "225187323335320239518277136573483557537",
                "118366411321481545651645424768994715421",
                "304264202824697158558433035371822611906",
                "57801536442718979091801695870610804759",
                "54573162136847545203755530036817190469",
                "186029577239322322415264386131622732434",
                "177289724507380405240822546498786083635",
                "88004485532899409329191010115876083437",
                "78344589578007813106443858404033649479",
                "259871328793389588413811555907423791707",
                "84558159392045326758543547372907517731",
                "43160751707371534910352622704598398774",
                "47274805557147878798825506132978698125",
                "86281620581426182579150063018898885475",
                "66424487777553850861569434378049602481",
                "209340149688576706205830459484308468991",
                "214523978797749525360459903501061196366",
                "107668210915651505145734488070513808929",
                "139180492293915090677616062070247276304",
                "83296885497400936913803605105543166330",
                "327608915961397008143391235987168564167",
                "200369631934249698948428311135453604108",
                "256508040952870996601757564234325247863",
                "134677004783395720022896051906604739904",
                "248064626879362827544292349544220849651",
                "287905697606385447132083427666050590639",
                "125212895474062432892679213756105530441",
                "328032644206312079299921849187496154177",
                "179672578885225914853820315470837390567",
                "186601106619550989805663853098840335382",
                "66852782576224711891278323041998793853",
                "131534360896722255524536207996671026305",
                "270573597018158527257967995665726681910",
                "80477260297114316676698157372895990212",
                "340266813032491348599321504768399737938",
                "299319845548990326606909591319679709745",
                "103173432795680438986359238144072322443",
                "146564729682699108390598436962837177299",
                "113559617690040116242013916891557727214",
                "305462269642219800751721682374957363955",
                "24723203776876586655696526056954518106",
                "7327248948511456811799147692694279687",
                "277060674908132112863509060527260445117",
                "316175863318605589499420929510065858504",
                "192448370998303536529280402326454390363",
                "119506913140746589817956891255985803207",
                "166134855930692376032835696154085526398",
                "261010971562784398381563296119807304092",
                "323795927922488761163038208301327121576",
                "214931408968885083168735160435372472322",
                "321791440625923431107435916295732302099",
                "29380600179753459773984549761299799988",
                "198079011138720081515392926982349247758",
                "268802176042255653735918271801356618233",
                "334831131701815863623610405465944590071",
                "142374722308037755174710098136630908654",
                "89320274847957631148448961836892721430",
                "23742219787641153919162002532352077538",
                "199926980746658147316728144192549169016",
                "15757961032999036901583829634129499364",
                "188832157574886857588950122656270685530",
                "95689219290101522674785344038413537215",
                "208375325250776607413109451547198555908",
                "94257971132924803254936950610109121089",
                "252314964051397986995765682274438120481",
                "260310150418494718921659516111440326729",
                "209432750489538086184034369128964358964",
                "109397293282474790542389005651890937566",
                "95190110886011182784831121759346701546",
                "67908869145143242147193205367260543779",
                "333263978210503761402921675272016953473",
                "225351211054851870741118992815518231005",
                "170539409791859362172308175373605886023",
                "289244211829691584325713946274352963517",
                "328411340429009732908467583859797565827",
                "248986189376195329400046943808932886799",
                "97329581639805785180750180489667669823",
                "241720456366923471412921820153005193273",
                "268903268756706577995894142622769339746",
                "233538495202635155664156245165970454481",
                "205893350991346263875447238229770439119",
                "165376860901797222351768488863200987380",
                "124655490727571216265525496852159802927",
                "272492762268983840573878319169288849845",
                "233210692890394022840072422249772153820",
                "102098208101128058768775261509771093963",
                "150188213547233170100313510609425063677",
                "256067910597295285870345723774818567650",
                "46701456400588809118348053411091484850",
                "251791493659381834968632157934321776035",
                "21658429298407029400664841670004629207",
                "88443459114234555405910643633569706597",
                "183238625608458349224688381415735883259",
                "317877902356112741768916781900542815832",
                "335979240855687074982402344673740093744",
                "282037085101541021433994822002554351701",
                "199096716970569828704435632532698130978",
                "169949664707983250196545663513090258919",
                "89852910009428652933945757412728920878",
                "302420487485641729742667673759862997637",
                "248563247199863342983904837171616555244",
                "67374477586871986113994393877296166081",
                "42187099256065403862981247444435032336",
                "152086458147989562067140889033989527017",
                "7216221376346833100778225712621158942",
                "49463624715828777703665911837679484971",
                "241982583363660821258053173015669768672",
                "52485521879292501086341502561925304313",
                "103157907793297832151661763850990623504",
                "276601792709146068663825010422211494304",
                "166546051923208060746189812506570917695",
                "224126169601807258591600283724213885084",
                "207144706795281675562313934198032713878",
                "257649393162661962581713494704476560448",
                "94320694431500329628091094109586710054",
                "59485699981070914308993298729154362359",
                "133288991757410253235425914288330936206",
                "221729391057495919792554184240680334869",
                "307715365483719235777664474710339024921",
                "333748730345383761655693175593693708586",
                "44732184374334825403940523376976359201",
                "316943327401925098903966661365064496792",
                "46630438254613284609980014140349765193",
                "113387737440448976060407195834127049317",
                "204490544861654341060577317688545870885",
                "308727598148940564274981490526258631810",
                "20236184392444241883419097664509709795",
                "173422771344364359484810096820838764659",
                "53801381686565269279091340849309461291",
                "195400036267394227300467101805646479033",
                "195585137193423174771715231546557952207",
                "49082590632746868814936725834142098",
                "162470398017231298923464300869020185340",
                "65455702111983961359021815477348794473",
                "86413580484160938997643579342784850741",
                "39180712625743307404739462228920989782",
                "26533111543825887575858887429493525953",
                "99304544570717655522196179439231703450",
                "322692409914519951632692330405341592442",
                "294675493231762445775227326091916860880",
                "226237229653027084744022355347110285109",
                "11440495444766552102470255470071484992",
                "48209447774291298414393945269220645910",
                "318517610312692013474898761221184302795",
                "182182110582523477458491468272471044480",
                "285999735572640955523208510141565160973",
                "13083271142402597409146238870877214389",
                "45189417257863047976855899678089239128",
                "2795040591147389470705627668568554645",
                "127770954946401095272364022592428514724",
                "147910495934509573878674822078003350017",
                "68722043544139924879589540638815696528",
                "61112952811944723225880209740761081813",
                "104964176474855211914827137652945348909",
                "282592618281843340264165495349851780952",
                "181294226991711063305243423179446251450",
                "162174725015085306344470208692496735094",
                "325293277063340725689233318602836151520",
                "32561662536669463694833200684015043476",
                "14121518782196712538806989004695373350",
                "171310668843046248956577166281812783155",
                "180035521278733707748694030485041813301",
                "192953003730948865809006013698934072884",
                "135899666015148620799722200849912290119",
                "270754801495150182776940972892564810218",
                "220557671953443466340010718598209322957",
                "280963480355788414597094785934129723874",
                "118261323619098378080704593295640693449",
                "255350675066247433832904450216780802254",
                "333928394284988896911533726223545837750",
                "73619929890463351194189420060701608612",
                "2186088735249953141924147408149596324",
                "196498609339427865783058126306121504049",
                "311416932781245780486513727269168192197",
                "200259660644119317780647856637569471818",
                "165279271892399187639382099021802492448",
                "127498181073600770554176199798217565574",
                "82864850699530159287362876552395409648",
                "211156233717101132497301472677341596151",
                "76223691639135835955006723400457503925",
                "288275138015225654687173830303416416015",
                "47575239693989039929052857771834492910",
                "45518293444323315569933069138513588184",
                "33277312142598650759390345232735862218",
                "62935293485199240342767962780048000492",
                "213551294735907242943077784519805353528",
                "184022405645049752225106546419434172562",
                "295072072558682133280822030705040837838",
                "53740456687120915062288769156027703369",
                "211828071266008919651048389485903205354",
                "32776536921045620698678118162423517906",
                "111939634108134470666172425120059003894",
                "200801982617595494026068873192496960056",
                "83179601581488017029058413116432938811",
                "105545478772253944982617301389354767745",
                "109695076168362910570836032993490577566",
                "34397620864161248224711020426967331496",
                "270460885140805062441974197730369322155",
                "3015170044510756665507052213985520543",
                "27551495525203671026453825838801088999",
                "9518895332608343189723690703275059528",
                "149765097600253617923678342168114201531",
                "55643492802127602263475930720214867166",
                "241213140482748876419696842197954582496",
                "184625599134192240297530885782671798423",
                "103980068943583286117110440457133352965",
                "130277159615334988248525884831529216344",
                "97992729087640356280519797092415327916",
                "301368100395343353462693704197273393116",
                "123066250526222416388416212745367839024",
                "267715848036686840138845555775007895394",
                "210525932358954226287494366501444798623",
                "222499514766945655360212927464657121852",
                "13108202300203172980578754654011540012",
                "272177429613204470717489191942989350724",
                "77878440864329173440937694482984382210",
                "68856043817293169808923781547201450569",
                "110608120199609954624796876477264762058",
                "229147771530648549308112179598355696995",
                "197203142893152557154614515670973393587",
                "246717282748885713540053111409054006726",
                "20969043573630201675844141779165158685",
                "240737352888400159851519577641363734530",
                "136382155931785795744716773511221733312",
                "36734488866986545980656059160411080298",
                "36328758549472797502339239249840145873",
                "229790622600287321568296248739016222191",
                "10197900282435081596754440493956817753",
                "68843131181827459772582578319378993617",
                "220067472221380487634758506011682683981",
                "233260711214123070833875473024057830571",
                "83866675669966398041217936038488549558",
                "97606191746402813533718538768854501284",
                "193355145378047797844104242114930848923",
                "48136230356020850291399220799413409872",
                "153416829750906848757908173374587462404",
                "42515282168158603117115524247856622756",
                "263390944453740695382527345412331281695",
                "110632216439182508364985347911935657767",
                "218006335935220024626808477226577524560",
                "233578244178101275712450807498299295637",
                "204148436824154603245787277627737773492",
                "234488644748856486333737981586073050268",
                "18434199217953385205481027609025923733",
                "65358318614833473208125727768041848066",
                "270100732001777548201242877897722565776",
                "218480969001648909795705483117687559493",
                "157258158804569332374594818901754462408",
                "312968353594726950121580515185898818136",
                "53277491379739435455253201603757246981",
                "280918250296964378298659785684974393292",
                "68974084829719899107325689353431337119",
                "204041729409566071874039531027281498843",
                "27044418060553639611094123370749178660",
                "49248723371452102876554043078215712337",
                "279639173939222877843186844249910984165",
                "136865111587372761040023515751208678001",
                "335048516350803814575473149228586598082",
                "139843158737263103036093152689607351268",
                "328204067291934091455911302386423490787",
                "182142775934064724452561529666080229069",
                "89267323581852340772718017050930487953",
                "241996390324832160921533131013727377618",
                "64699501541899723992080184605367154489",
                "336118664844284456184907329895140297467",
                "134269829306195978465882418594040699797",
                "153831493022588359160523348390928588971",
                "66438817105599874058284774802386813576",
                "7727965081707225468399646914380973508",
                "259862147468899287663394398923386192467",
                "328719683715865652524592763038758327375",
                "89253367943312731634256853995146445164",
                "193280146201899104393475318874313688552",
                "59909283672475716114618789473259743894",
                "139339479660694172917879851587270735295",
                "40224706277481528135962626543838538484",
                "281963780675044225499354322402305593321",
                "201336175890847904016833319681242707961",
                "40167909986803748558503497131809429523",
                "19354397913560235033535438211737248924",
                "193689974014979966944241782797706117172",
                "82969296806232420763117537899710090181",
                "48107342039134256050873170367103449749",
                "121664405117869092955907162949485639696",
                "208172472595507911553938351104802929103",
                "100178208765342859269087069572518170828",
                "172678706249565529867938811847357927246",
                "307892420336894889288705013709104326138",
                "289451520682790295605487712048499810308",
                "230125801172040819032444688820699465945",
                "200522236555902804673711370343254528159",
                "278303634227457614022398657293640842526",
                "273066255832205774498484562746898651064",
                "200157168047780991742867866138502008525",
                "9921398426754235400486071386925494169",
                "110043977191400700404988777524028303830",
                "34429491153776046955288386376339047192",
                "52133965938606940774535345250495325257",
                "240578106438393672488048150240479280347",
                "85951681659378168134327803155838935140",
                "163502752691001949756747303068496194159",
                "278712048423956875063833749654811019500",
                "253685853441205813729551778693284929299",
                "185474464359528582237045443783376827417",
                "199415367073599954156387700825822545912",
                "151732856051008823662042004961981873394",
                "277341364230465996232127107967304137339",
                "181402432805518179773747040655222165095",
                "162147004195463004012073537846158593135",
                "179305718199041977940590460008117374865",
                "265297091332429399805448172674088023163",
                "131003527153548055253099831427708773881",
                "237491351998268126267516569381423928769",
                "282441958237615573999400890466316633092",
                "136339495214435110821361756804530798691",
                "19448595728562297016738495424653039420",
                "138307285100686420509592140040334208334",
                "107757215348874736080137265993312479276",
                "99703384866227620699836439714205261069",
                "187204123371062427798998802257087347647",
                "108087271980292962198728710213555266804",
                "144655344497932579378795180544622145443",
                "278231986556564308867633421451951020279",
                "123040411534077854415107100221331542302",
                "50618485557757798522802651584381393644",
                "274441620024153171013369646279732078372",
                "125313132597865476655192608921276354920",
                "103349914168153920723526973402810215983",
                "253151763869464074208297317202255286496",
                "136724617880511833183847402869287875580",
                "303168413268995260370135569771834310806",
                "310691382541542788862598150281634333897",
                "141933930261576443759128081889294346079",
                "44995847347844856978085521415156794568",
                "111568537070823048669861480899171919897",
                "324914835094716470559225180580970055020",
                "96397301475369159639618294929451550849",
                "111298350530035362964725608383526277355",
                "135662585292149257170481076458375327682",
                "116022926255059949662506536771310662493",
                "230945027524957299628845296171161645007",
                "101830626892622318249847264019675520423",
                "242731468347774653228747652627590095971",
                "227993329431935584392527857808206844277",
                "312970848567852646501753237749223795960",
                "101418103973045718624068632013782930200",
                "153112026060757616308645921679744907029",
                "289968466964054023274815615869333689861",
                "242612143098870972992740421808903915556",
                "329158586425523262873256082379475456041",
                "46814033012996233104305760280707524582",
                "190561014431306076759830698550759635572",
                "110467328111435763958234508365555009288",
                "148527887063257393833510346931645362913",
                "196107068516323599596591897581412612507",
                "304962195674155400216760696253184752060",
                "196548568760636944033840425074577377782",
                "158549650530027645504281900019512116771",
                "202804521984060301647481910834694712356",
                "45873263538234130925549080916577319683",
                "89572827072475607093160887263009937094",
                "58013761180264450600327319225400179248",
                "120800780850477618867689419651495890694",
                "65220540598647140591063829403833581082",
                "184869530622879638276154518371463315278",
                "254360505400643081860673464412084013193",
                "217480087841596103688003433396138128843",
                "320057514093984207405834464176241369684",
                "273625075439646543975750966236805875691",
                "201570977696266192383450132252196176010",
                "7370225415519723058516200075847526816",
                "147682003416371534792240190164147298781",
                "268934938386651108799896499538860502136",
                "121496118720287792248106194943736611628",
                "137856663555559104092744913366006837875",
                "274356694162738454863619240752714317735",
                "68189403040295322662324230153009927002",
                "272683396787589020611938932625718100497",
                "119919308701522565345286528643213206408",
                "211627257606534826565481425453361576290",
                "189449734963706024370450551432050664012",
                "258554159433781113589666342303665532420",
                "167822364897723787748721100873130795040",
                "314286671864225625322887449657022522144",
                "224045096521348643067964684499895018684",
                "129623396044746543946333915056558566845",
                "308880263091713058821988914666590612519",
                "311899118578289800039483059620642518026",
                "245865499130532322146605339366100070550",
                "105350666846357274469649140295094428099",
                "189213466113654342928428142978861357941",
                "2907966219105041130037154950053660623",
                "339635891062405517668630664640158419345",
                "86344163118215023587827472068523215240",
                "139767858074135212817086521143615491836",
                "103689602333877491646900855042072340256",
                "297277806793309736643867234048899248072",
                "243557868758851683535407671857537968512",
                "36957312826788160706325203883093411960",
                "270143846836570248139292778814456383020",
                "287757846469637616501377947143512092168",
                "182260433548732783447499842308355435331",
                "221164665239113949909135254830151008159",
                "115011909873695666944397221678603535460",
                "167395283446963181584774550960060547660",
                "239337718317568111899195310077538639900",
                "250177922553272147570765740017278269216",
                "79826026096741980889280358853657513380",
                "34088992094111635161736124257313548825",
                "90146160497338375039107990827241435308",
                "79150287019716150044850835302170828696",
                "79328548271215182221691563874341485919",
                "30135424521382925513606317104451016542",
                "69357930943994435064253767584863052449",
                "279430653575374092274053296483657369157",
                "225563081160678192223936444792169484696",
                "99913380155655592204300134402583346799",
                "38821653771944379558133788257719890399",
                "309454214018885815718279922735967930152",
                "197889579565358128506269409820506553565",
                "144004929408412372583520134780712992994",
                "208737845475036647650237851084267243585",
                "316484001296121368771701829273340700830",
                "140412908115486778456773864949318776192",
                "202328360085398445302300741844672447371",
                "327679800014922527062838289646224929897",
                "156095715508374434562516146174935302710",
                "46014254097846940490218377412630437276",
                "314787123291730607395785677388406120597",
                "266458481422661366883281351521281767260",
                "182212210177972379495362733716008530417",
                "19895930035507078234696813887581054840",
                "199181890974685394777643881371779964182",
                "5497100887109841959371358625206884344",
                "246750812948230917821993000861167003943",
                "249283242462155382999468079050599742534",
                "93256941123534900508789153570974893254",
                "190657076448181986195296111468074540640",
                "146883296964863683215129141200763427527",
                "4877389756371685684424224371747102396",
                "55287182505798407906985849574932396166",
                "319965341184562807960883229110153985602",
                "40499561296156772707365773035070846735",
                "232537998880622748833765287438364566379",
                "142275189849155648381439145131805196118",
                "242208604969483115115947594862213571103",
                "206165773446032630687904915978607455929",
                "93324135211363915109715898090736033596",
                "114682081218287348395647551875336743892",
                "19344736548542357119353980543808174634",
                "249313732364149053851094013631333679808",
                "111194475698428509780330550806420402758",
                "92349625627106044192088857700237914791",
                "234600605538519864842622736422804554641",
                "215230205961111094722140220185710764941",
                "315308490949712060915977578421651799898",
                "232352939743301792481676649139167864797",
                "319974097551694550129626100973611860541",
                "94039428273317244850902623795308698506",
                "193921847434558779974867896245949764403",
                "105846309869744275101177357681595047077",
                "107959977429908280327081051789469012915",
                "76850276749496365957786891598164594912",
                "271427297368297103282884431902949330429",
                "153337373561114784339894958035790043221",
                "152060712934173020918246894629317628670",
                "221732705938073012755699154372023268307",
                "331277711103365865671236712708699128532",
                "89515799527535585007543578896291976839",
                "66310539701982957591239575178381552159",
                "18019231791927668456352191845520582601",
                "302635839789054221969628490181247547715",
                "181731390121309636845302460460637662833",
                "221933549782401304196140866052489210309",
                "68371385033436049165218748101848057650",
                "183205166615126625277360470116333564725",
                "249570478590079698897369382547854639570",
                "121870336068949224679355661290098089792",
                "144897151876291203340628193572007089146",
                "254134910471259902224760437970311780284",
                "133979122148303746011675520562589105163",
                "271988727492632145738041613947739997052",
                "294222169790466441149196978663972895019",
                "221778664459340868989614447544711220390",
                "143733551494362418423385347845010000398",
                "216466895744203430942817164313939458243",
                "189057012730999130595446120609511423226",
                "196863268292629635480288052376293584595",
                "33151999685642655926311950306563843084",
                "146742958111903328931423578836620703261",
                "224781115041410707069795039608150130438",
                "238418207503534057856960387867917746072",
                "85083141720731907407347323341586575870",
                "173031857882274927801619195768880214837",
                "24164982748805747723581158589143738933",
                "132711304143293688165623001179554294745",
                "155401890200929526278798364209870539413",
                "53329464250618544040437285321395723371",
                "76169835474950875726019591514717108455",
                "41749769635264082816335520355081953863",
                "78968924982462804744943956959151146111",
                "165309555889410327249245599204972816970",
                "324926308217076210670633677573812889648",
                "146492404608775741218181109615298852146",
                "324976537200090712588938387474146753229",
                "120439132526132675495452372571756240910",
                "46755264040162781428644023746711004397",
                "14637357487973775464380752928531050720",
                "132850560338437970864245781064696854513",
                "148061596829697967744167176139746604529",
                "74446247900337797795973145039900464802",
                "60237869706506151365679169198356503789",
                "222055882468060441104199437682946135500",
                "64901616751533626067860247599036906675",
                "9833338786440962111449258540916261167",
                "253208774862932854137875688936452179562",
                "172487369828571013697760489873353647586",
                "304668887476375217408271350060199716989",
                "224881289905844272365271450252909708129",
                "305428685860908051593042393797444870811",
                "309585310674322317489077601336619290650",
                "312563083033719979524581554265843781587",
                "138460869579590438799417476626317545315",
                "243683821721986284099175678413673731530",
                "10572854971322748548705415484375199005",
                "271036708055450694608052177801497540205",
                "143556002894556787232727744657757066201",
                "206980711103903188606788312301798724957",
                "155978263161800081763154507761145343830",
                "263667076874036301604205946488653343736",
                "286867868418740099143508304663024302299",
                "172929509284923831146754393394909346213",
                "311681499656831038994235258955805809638",
                "242127617398242682156106125523772021749",
                "38747598116200870275388471790082816583",
                "112379509282581447317406666305773677963",
                "70455445292104519996664178945793408248",
                "72111030309697686456927217813954979060",
                "206486749396545995538027214046964895836",
                "184700125950973455279359743566051682301",
                "97402935100958706060633512795483107528",
                "302728237613776848640238771186485084661",
                "31694625806257260401047409484480418746",
                "189553537910658608691731075650146849602",
                "233392265589975796312238879508536239576",
                "473464738114953968739212951758349187",
                "112903668562299889465655376314913548906",
                "225746149821220224265256084530231025163",
                "9388606772419886019914372954610367490",
                "202153942227174267827239478226429142730",
                "87240981882548551569890877877964847268",
                "131702407025017741466813952499495865224",
                "328777335204112023601215708552285769239",
                "151153658980511211094944358600715090268",
                "205331190470359355142720923581018536927",
                "168177022085418252180177611291757118715",
                "119551420597967811363219777800125479148",
                "172507304480366675390515194441085826096",
                "115584030215134038675409373046338905123",
                "7982978174249644948621936632622637239",
                "269491286044030448878780057023888933778",
                "176317139185573062486163552858294875011",
                "235274328311811920700383610086989349844",
                "9049582615483694717796152385349388437",
                "74132862276918056239622716514646280981",
                "149199705067099933152548113365195041996",
                "164101830008642828740508630255474767451",
                "169704437714689573982953447906129239360",
                "261606492578901956452068851937601521067",
                "11041212651622007721554941902536615299",
                "65371520802302631327518386501106249558",
                "52350252300076163995252170541584738956",
                "107563106949677456394808052943216197997",
                "152385993266003672880766967484971352324",
                "279949507310881694046841009851326266483",
                "115899097324138798982500195082182053262",
                "112548274398831144943224644225103986236",
                "185631748687439615092226893614148844302",
                "178501709930327115336461311104281237171",
                "128181172320207307257773187936317739128",
                "99396800892085863203387288776295941888",
                "84270681212344600753604079102571395844",
                "114059233073317540592180924365680472173",
                "54728356338935407010041102126116636093",
                "70499777229822556579391843589549809705",
                "142703680395116871561902074623402764599",
                "338762419686107147955455321976243954028",
                "225596393924433580225459571399009581657",
                "67096892677221194207876345003332662083",
                "292725153285695530488513483607587216299",
                "321021518646502169083363307468069465923",
                "193526743223514254397833059022702419266",
                "262517700435495132430572654262933759180",
                "28419559357036989677559121060590519096",
                "179202606217487106276842011778162611022",
                "154812563681254144647280575828177935947",
                "100759102636550415143680659672257213942",
                "317059508495651441289109008620412813859",
                "33225331948443482152109593383596470720",
                "187434132013089289372573371860537231890",
                "1994545214828428102176810675733016537",
                "317957073640594636018183988852393488554",
                "64358809727393381222444438336444852839",
                "216066391358549820466313459077424140090",
                "326117688196546693664756630424004201938",
                "19349676876723991620166897087750267321",
                "150114840241036849500058955949956613792",
                "115967169937217850658314198824372397249",
                "2153544353137623146885253830950047525",
                "28476831832592312145821036255178148304",
                "35236552801975583134843032876449347075",
                "245780866656043914789173415920962064665",
                "126991023015437020886800261468191028503",
                "174991326179139402228732003101926662097",
                "43698642861760240476694362658795931338",
                "229416141578125322778114263863133308113",
                "295175763209541323159954692930540916058",
                "434510533361709754507525609201894322",
                "274673321990861163133041416491898761580",
                "284024379364988017182473567060129590907",
                "195778248108785279972433677124519142405",
                "96680159550113748612559561749048941465",
                "99183592401178193963099535920952873588",
                "114653169465637508563356135068769882835",
                "267568714845506512069928420227043414169",
                "225939665743198801324580693797287845064",
                "121020678844985661626447388921861767803",
                "290503635884050568293358366143848647417",
                "153495427154548786679617373356047081874",
                "289395054033991563168434804374174552806",
                "332686910749526332166363972430743371830",
                "46046271953136591659748349933109991516",
                "49269240686153358806356780044926562358",
                "58691325236004731398188980820548416299",
                "35300102928745163471363991262839489457",
                "151936108385714037018288942043795764743",
                "313636227965463203341362054632121798166",
                "61196841040557884192766648152340525286",
                "307123997796994645263197796886493592448",
                "300468868288274640301813665313795606575",
                "317508298482191786683087868417331114343",
                "8372589583851770427234527811344639920",
                "133836751564925107329884103533147550610",
                "117771847976827291049691402184495490691",
                "97916666265116104565874540374970544371",
                "188180357930681053706074026272515886188",
                "296720181791264512422495052397985668441",
                "87165821537521195480044479187437044105",
                "320228847184355399034088907033112320648",
                "107665948546020750691425736747084195257",
                "281060097893369410869820547585624929295",
                "99228355842933547451551368500833562806",
                "327462943499876101263435977765088674129",
                "187062637960860043159742570950645710533",
                "263894132894633547522764836206431593388",
                "101506177672750325041263975854034790225",
                "165702684402523910400312191172788617745",
                "183013724204177350870810410136505981687",
                "273846032072063359823816763731889302838",
                "316237635102232973291300888102478669462",
                "290810131621760256711301033970627168004",
                "25707535119740890449612020002125320783",
                "252001649389464485504214188339898532019",
                "150633476354067491439576235020067277615",
                "106461092161919792737996294128152124716",
                "74269044637916073867733299188030085471",
                "272161848487068578447273501763260453817",
                "207657929340410385253652146322638734843",
                "24723867350673361629474417944438023116",
                "562886904193108849279544784440481170",
                "178489721401834177240401727383375218455",
                "84300700862056748438779327265585362226",
                "28074860852355619640624319274485296270",
                "228163803349886228236825150979468843113",
                "142711642230645816535756343720339902756",
                "54048553429548557091409132988341129820",
                "217609948696143033133044276758624439508",
                "158320128308551159991849757629806564960",
                "37288142102241987754465645214069140364",
                "107568297282329679191742821096119885722",
                "125251436139622307383717925917883345158",
                "87928172237868405013124474625644798806",
                "288783052771282183394445589664472694303",
                "92943676901791130867799464675854498068",
                "306467390658209123268417011399535334282",
                "2433921969183551868471238725434124509",
                "328041253030456313761816926359493393613",
                "104035724394812773247261236742162475663",
                "218082183899114151001184637526623118243",
                "125327605343427693425132794716874090536",
                "112755900915266979082800632609780295190",
                "163058180669658179248927583242777293820",
                "209094057951662374366722358657269186298",
                "174636590575414647454748403054488493606",
                "322696010486359159488994634511555545147",
                "10758649695917639546675902339809619936",
                "207749961266826512172070757113355944707",
                "74732551721394611360766045314897988731",
                "222068675405774074373121295093636493123",
                "164164303203719736070770368111389844186",
                "316175639691334746583189583605314854912",
                "96254043091282481449829409802550866301",
                "335680121862630886883402451477384775928",
                "19048014955761314880282692440167966002",
                "273124097789158934285348334769720532642",
                "281221138756102842485785012128022606496",
                "328105764618177735838551100251908754848",
                "91572804097888660289036005220235855200",
                "294382234630656464179130078284814458927",
                "238904917139183578822439525659275280429",
                "149973730555188303401745415189442505510",
                "125345826891027852149207744678130416376",
                "36215816813303725707584075819036655721",
                "178219765208733967947868691660639687595",
                "73496092738707391335382048588802865833",
                "136555878648412748095716199207350274225",
                "269822898623710466234215669968619294827",
                "127906407901923493938840951180022608561",
                "203246820739509441753119610017062011024",
                "260100353186948715546600604411038254754",
                "223540279934797691719323798036683574753",
                "297302915599435643704827662078152920211",
                "94051218351769616513344512547294947628",
                "59469739152136654618059231704252577681",
                "19407929657461884668544399510736126709",
                "218302197629069180752890679207257880855",
                "271663656238455315597331639922826734813",
                "264040901874546449187752356097172112247",
                "48941287716532439527820913038415170433",
                "263124280101753480687934515362789590134",
                "214867141815130842413141664528717778632",
                "93154247313958191601797616730490541640",
                "178336648185087668472911983261840533203",
                "233163162635453091385277732432450900815",
                "248003599318897303324379076110763556613",
                "154610731398379761241282133641805599655",
                "138700287835921105441018284295257560656",
                "109713551937002207409377717015971499544",
                "52126036890968650278879112553220223639",
                "84385119081772320452979525630925836826",
                "53169041230076836274375719820918947421",
                "325438727315010645762232106518037405679",
                "327012498203489310848020425364644532472",
                "238375212098301663515818087911708155652",
                "153822288686137631469248298999651044326",
                "197768233876642014287406175064540549655",
                "226321151544567136603114889727282297490",
                "26013368568604735937584136291073054214",
                "52437183562842788821194887784774579914",
                "155623117745254981175602830840020187103",
                "34104600960423275185362828937098124276",
                "54880527404658902789129885596842351395",
                "110051874708505623342810541949113879125",
                "127630388154104264525565084855821159786",
                "69466434093116859560150935127858550818",
                "37392509653209812598391824492959555930",
                "275309623881665942960460387966243638745",
                "245713195934158195794967865094259922292",
                "159236249543725771880365877582100445133",
                "125889288699103381639125593404796469930",
                "308667662726275242142008379408572485169",
                "34178329810010100707906278516765020841",
                "319261284628361039450984162522397917563",
                "208886559193118571634470677623997384825",
                "31319003606374136258406477644264487102",
                "161515173079000734187531448888096017872",
                "36625990953690480219070027959684780959",
                "218900257828886919722187918793191851158",
                "142212421833290021465828529790454485019",
                "244231774080516950011405343158254052410",
                "31698577670132359110077855121401315788",
                "310708766724902657118309215025282107949",
                "188683525201891325369468642519671004778",
                "335765077976945373729202047633167550345",
                "196932113758265179311570520441603176349",
                "29035288541738786186175847423670599620",
                "19663061062507679110823721158040059339",
                "236836150170073428942957878543768801816",
                "117137794954143741073680427398903954968",
                "149191362202785189498161816346225165386",
                "279838037331057759132051079446435548797",
                "144897092903138699396369818244212547882",
                "21997091167235307326107381023369858541",
                "25083848968113160589704782355634568351",
                "18718579350688851407713748015024435532",
                "1779192976431679321573846105382653341",
                "4508812638876478306574292112668712496",
                "30571918108783826383515883970930007953",
                "229540459072206350412133167320251623928",
                "160950017448256842446523534945487056163",
                "279245411731566118736524642138402290086",
                "190859036078819585300775020317337944641",
                "114330468185082152250584428794280488030",
                "323006297147355822324950246936722844660",
                "185079615859370425814826978923602451522",
                "195322162026584744605853934265513977502",
                "274036064452820498207467075986170211088",
                "235763932481188198651137765315726628995",
                "89851500136873018061022781418883178349",
                "212882110167684052506719956509863900167",
                "336986148465462111157247650862451817360",
                "19017422918972305938206096181067736893",
                "292799728037253403408247143787607933557",
                "145538904487364543032600817924442239076",
                "266281085187488611316171278892477635161",
                "45119095953522084809888043134039061322",
                "153041447533228730936930554165674541399",
                "291336683872739524371217660552661746581",
                "250271774357769000949315246533664383537",
                "165496330531325067595651364790712303344",
                "18976242151008664185372029076701665895",
                "329827584178043552213717719101178701993",
                "248876651132682994769202124879325405046",
                "88556307319273736474173782221823675008",
                "71256635958837252102283300888816935168",
                "247035101369392186081412999340693599386",
                "337415751485979049631807568686534261461",
                "101230037661644323696139580117280827795",
                "190081775693635868624398589049198074833",
                "133785321493845961933092736309930400962",
                "139689740011262831343277241988990794964",
                "327832753027451803450295440326136072873",
                "229573515868355033223020520644759914334",
                "300750475037966586354024052400759168544",
                "78150409695795598481691148332056172669",
                "339343870363604223933991326621668663133",
                "82556394198633437603838767516080492922",
                "137174011117843584831885771771309502125",
                "257441021268511682140353031285083739220",
                "243267973982976949669545627701560352676",
                "123555437152155986208282120559014151887",
                "263758805332533149196735662565200959143",
                "245981311158574336063426508015944477538",
                "41066685798638659639041833889129933643",
                "57538927633469635921036003118649537146",
                "88707761053589638143350727765062872610",
                "36387488931019103123408562466959472952",
                "273236222368531651057018094560958697130",
                "132740839933348489594476192236281762575",
                "80248080381199121585644249724411000793",
                "263763770758416890312685502933921068937",
                "277729198128365114242299725043685433560",
                "337087025740289218221219824275126308732",
                "131925212617337822520119897939579277977",
                "126001842318396628098605135529472825622",
                "274795986669960850343896182238387742397",
                "276650647229024502208872930233973146253",
                "278629608371318415587593442695184293510",
                "100978204739367238935051896668810039342",
                "281714859195155274278681676520748308578",
                "328628095686069152386191672612378672257",
                "330695630012236733192713259013476672061",
                "223344318373243578386099146227363169236",
                "291917083774405757119647083276034044632",
                "12901146417154668454283476351124004712",
                "9916723058028319668827229604606226273",
                "35522523144474177591061305753415897643",
                "56654174535205037779712550432062803025",
                "67175725982691501372052083803646996002",
                "219472325669567719175797826442004220081",
                "300411833740498200129979727568690069595",
                "119984254796749007091571221461746824840",
                "264453174765606687962359971594397567576",
                "292826379851032748993566680166038451664",
                "10078790962353775334276330648944546394",
                "16802378538435470461198190101749283601",
                "104082350308647533563446786509426119654",
                "114394828953171912555505837587542615106",
                "46492386241962098262556503203324403314",
                "25841602727492607053385290399991369683",
                "283144934529001992157160521868463343827",
                "83868422012404450222462524787725144574",
                "56004443144958394942050653775633440694",
                "297891666867375975357905318010384790934",
                "334059069965259109979765159040190845277",
                "127428332868574333969848367918997972628",
                "283876673414650498296943451009762285094",
                "191051539601420463831426240423034883033",
                "78040848056835945779356696102421771137",
                "8587800773375808895192608261820053286",
                "221639902834985924136785145570381458356",
                "197341007397737319568474364993315209381",
                "314079128767581648142193513383132686129",
                "152795873076291522762396013427406888610",
                "47247028144172283812619445590128720326",
                "80426794927378855678501139599168714050",
                "281281054306431773681654739216932279757",
                "143263929688265376011661633551644154759",
                "311448397390242856104970767962064745306",
                "255470034555984796468998198262269735800",
                "162625030172164006067993081157711903488",
                "191803199641418396757234764603739836215",
                "13649681394883219957366437772780990297",
                "208301425396477081336583872345906318619",
                "247355463702270916041580761846791816174",
                "295138075229346701835458958500774849642",
                "198176680456570700044711382438982495760",
                "77721375678272681254834414130609990032",
                "110542361225920986260940924537396843393",
                "14788615025397710540110230132285955696",
                "14595312836826989972090808481373795565",
                "145769836320157084867927673528950677995",
                "320888360194543846559031283296355834081",
                "307180256282758714878702580134857564209",
                "59195075406044791252838807812202061023",
                "48422741046642862882717541422119556670",
                "291576295865222743765176568599348932879",
                "127947555400268333554647729884005092276",
                "255797984100141286046617397191142459329",
                "253078605958717015472918707453038531543",
                "222752850581147030667708158189977261180",
                "91204832883932586297119742162598748614",
                "34450819724522390848322332638566415748",
                "178960157346466143320237203490798712154",
                "259180375042413973738338795669477916799",
                "21572958559515750304385311946854505947",
                "211541136434293540427261498026109347247",
                "5674429773322556119468237934173717962",
                "113423159904733779732203562077525486382",
                "154134964633512277407122369724101513984",
                "11586091737128282922701245703211465913",
                "303746706078212130872252540246418417988",
                "161311209811588964837029495483711704687",
                "298027842868191823333897222260515578457",
                "139206855217871546015910416627952909144",
                "35877283451200009638840929526780298603",
                "232121074754421025089314123887944896933",
                "185864393931783071145858574587894167574",
                "330822428920909967237547993431157049720",
                "47512629016260873154460791535887348972",
                "109524997561279659254934042079775009418",
                "151076351450228252371399879680507628810",
                "83223522484286595416924156605345699510",
                "319006577213381681664668765079192678568",
                "286610880044141422986612763476887802300",
                "34496999503156644529644237224099759663",
                "35785298159331246749310981063151554011",
                "136626485652861876033667499667338970277",
                "179539599674451503868320278474281329191",
                "194856952404004359829846134934318359832",
                "292979638727147412627036434786643639251",
                "114225609584463226369871529481298137242",
                "71943497516012116072330853985626316347",
                "82350961092127823865658634205312315803",
                "7412626355268600514839512548847806254",
                "320811923258935418911605048552992200486",
                "310555110886710803280752959961726160109",
                "37000110658215859020896202870153407147",
                "2470540350413008416931785256978030266",
                "41122196391540695843870645513983831862",
                "96699812661428100765754366430031060741",
                "164032039002185168358956008505545878983",
                "291555898343196077515024255695528875465",
                "217015984017265674704072302926140526016",
                "328896671886881816521967733748809470990",
                "278196377002276911315811912350849499915",
                "149673648013104727253158917487709117085",
                "110619015572323361366993093291061156239",
                "95555254894193442019802377655453157182",
                "70476339916483068425799554880003061019",
                "296945563482293485456062837538075250253",
                "30330506822082739453548521197818017793",
                "256676696683039118026650029524239491118",
                "169792857723912983213014133839878147262",
                "271343990215037934648207720990363148567",
                "38534545829853037683928189997372693462",
                "220454195396994838887845885123892710078",
                "150048819689571156598097660127364029736",
                "31442020133623555113767001300786534192",
                "330207809249352223555216525335153711890",
                "146908609216599275368797414620212060628",
                "334444257802746083516186135334553497556",
                "160632783614775638230499689163126838923",
                "195239637211440930776897444792507081771",
                "49634620428448207322388864957110705123",
                "65577898691150489326062379620670885566",
                "283785325932296689394485305988709866661",
                "237412619969548767999961749501145163950",
                "104446242423080412807339270213410282800",
                "20884171336921934467282427355841115407",
                "250491495745871322117838326234131997317",
                "73386464413406278566899252093013845502",
                "2709201591934637002320217410220222386",
                "42740016203834735451178198952668171805",
                "252411713546892920493792465628900769444",
                "152756191865778966283643524276610675595",
                "187590972827694415792152574510483013972",
                "304880981412375003935000303604358488581",
                "7203544885944089306028447436924203551",
                "18690477375392361024724693427521904260",
                "172863834719299597016347656276732795548",
                "34170174674817853509144451168764692127",
                "20004260876027150345522374322757017354",
                "10975941432963671437090197355621398291",
                "70162035041707276988200678042960434915",
                "142529629369674979857905108793858828212",
                "293125528379783757147203700902609980956",
                "57097049514147623480334820929093462871",
                "325656243013539020053690112581002174708",
                "235687278022813753905252112590284705061",
                "122212858596721451581584599394012459421",
                "205755497913773593262719925594709335058",
                "162907411823552532422414832212502912695",
                "283730509054376877826482121964724965609",
                "307685681551150924966700409562479425358",
                "308275925952114721801988891091843872135",
                "91999486401333355771942844911652806386",
                "23322426016195946525882250072524898524",
                "123093266424562656306316108672517248113",
                "146270232238188015715876017984762429431",
                "158800868902241967834453003429439678170",
                "139182005978181557725037507607454021687",
                "264534315260897234561800340704910901103",
                "156070983381216869607108150010685901719",
                "178838349042356443866585979762546391267",
                "155926705725655562214475794439819486454",
                "188646268732190304067275662712026268970",
                "291007456012884990290487166374000875974",
                "294980380436180717199833903139161967297",
                "278107650082887861102909570206521565517",
                "226119165025049898836362658104217001768",
                "119091318151864354806508966250875080060",
                "199432748226989355023246724529898099598",
                "282095026257267563568462306032551257754",
                "110654257548516417212280609740933633635",
                "136577253760692698147373733824839217307",
                "278578177038343505458545710083620781465",
                "234239280970114899083272204535321208366",
                "21298510051934005830379314135033639744",
                "98723508003466535587154082094401417849",
                "24247767839847326951259772574887814396",
                "339468139934687812870085613607747024408",
                "284036334790115098542744359647763297582",
                "5144482155539235555459128034570541739",
                "302691174199450110606949470421541519282",
                "239035808479249653636083768053223590210",
                "23245696318460130129288977589764193860",
                "274068401801921095448746442651087211215",
                "290139624212273153189096765690888542308",
                "205098544797173363880749832528577428398",
                "164581572421995645248853869597639273202",
                "5745088307991780282141303850403478852",
                "71980120243605602064718237365004958424",
                "78303853616469747070528927177788089541",
                "332219373503143570304157307104580111081",
                "299874377519566904908274363359961651745",
                "27183485521943085982733127123794038914",
                "320359903758465992107699236367570911666",
                "58137852921236571135928559577995834634",
                "107405691901175380773634633369710176581",
                "169080265425430954645127292249432396641",
                "166188356521270714195263781220143575110",
                "258380117869618389177078557630030740894",
                "226676290482255952202246265770550500726",
                "44372612470592686867279028083752822980",
                "156715325462037657638234293300443341505",
                "208798185900283126735363272309097447091",
                "94887965694711354858335701373203874847",
                "133094938558500065474471017793092440493",
                "263235427554133606466346421226445929694",
                "77677497008906482281042765799216051596",
                "317545744778840239690693710946737258345",
                "66113412551884860758593155886144883265",
                "321685390925508515961167968136635941029",
                "147758311362612409864812405300991890185",
                "210832084496923855258506611635963979583",
                "211467688799711599022136015938418902035",
                "286072986931409065333502407610208041973",
                "79954265452217897112280930597294883938",
                "26020906011301437027152380138008872489",
                "78428278465270715157193297283204035289",
                "314656383168665449488106275899134852926",
                "8630089987495309808076857741834263630",
                "156132077670339470996179738898066746924",
                "136340240061160399205835316841308266885",
                "291763923966093971612437135094479373821",
                "273629703937676642443535955878663137748",
                "310959008119983877962559345932113219132",
                "128430596581596185493396287050586530153",
                "230749573226190001360354030990722684445",
                "285541469416898696386648900201371829847",
                "320964895572576856725962045754615778938",
                "1914821312666441352070704233387492106",
                "261170702176309312122192978997845954652",
                "328826284162944216865264245702279092214",
                "245023190458860150361608058992176064558",
                "303182482925112866327931412006979969806",
                "294852530441999162141358430593547647067",
                "255775978576786604992117228284824288506",
                "82143351858544323615761283253802608625",
                "81401272657397894756326179195150731054",
                "285520726394505448253988812712752426922",
                "67648692796077695011339184548398241496",
                "208900573370567516463265965130280919211",
                "45365382911423233157963390723318010948",
                "325374598506003553594320115873845430692",
                "54644516603355413450059680915023660399",
                "183537952805463922164190585057075794232",
                "169493353592470402932142720751575211674",
                "301471781765124072385345324525116820824",
                "330514059162200521449892448658535746596",
                "58350599181766777587214935808139503715",
                "262907115802100082112864649322381322525",
                "17599842174927015644295058697049615966",
                "204650510127602790815562349984639891262",
                "177521512438971826713254667196701465414",
                "20275354337680582172327677047259697757",
                "288697033387476906400634554281351571026",
                "72641453677547063364623452065256621163",
                "46102004161763249040193629631952307209",
                "239701813330018670383462097487116586575",
                "60781740064645282294814869399582608384",
                "308012562098417624653855245134885339419",
                "291237615907283769908677110471632179197",
                "318679599043795386218104753637762690525",
                "95562128066247228120321012336090516380",
                "44579495434566519578504702543146376859",
                "126967579598474617110766195407076239471",
                "259399459435789042710365217414959281964",
                "237327589332604313966659362508667472409",
                "87202903635532854994498366351591292730",
                "157781861778470303427358066006857364030",
                "8599554803587304712328679692389001007",
                "113879098500143859345169676949522716294",
                "91691441668843513995324978938163174565",
                "186385331645094041677387005498906129135",
                "243375131616788270939210528095312166959",
                "245023618081955423546892147759582075486",
                "118326306608561537379204748304507345950",
                "129410946090231103607417892535459321634",
                "97791212499061123365494275638544814097",
                "109463962130933956359886131992164520876",
                "296336650356691032263379776710861781834",
                "67270135961569836866035753953698893963",
                "248733568877650457409138189669546021708",
                "116201890789272093987607655041221058661",
                "100899750443186543348612425405830983821",
                "53617453393352813296737522654644632622",
                "81330530891028781817402931681489843959",
                "3371837327640067340294946350400494499",
                "17796507826614466782855810664779568868",
                "62580271877545424223970415641108673353",
                "167227067389969982779935810841925890340",
                "336665616908070692031287408141578294740",
                "271238262747904510335801389911364373363",
                "254106533354534921302474440420079307887",
                "207934605969447130301808463171662878560",
                "179986323205012649869682401623017219817",
                "191165799874271552418458943936137148637",
                "218708054133466946923081727220859736082",
                "15748970373709417566582707869595356088",
                "77740354950161487055137585643577630554",
                "322567140199715361169399704185373963996",
                "254663560296825431575909820295881281196",
                "53498136113856591396861373290502039053",
                "269456329145397462437225743238414844299",
                "340195016768315102282687299463249725297",
                "322605370063588621567694560681691240383",
                "69015316685981276519897049227472311057",
                "293417043425462647633625194865451733698",
                "202758934505363721414335297841994023396",
                "181654592186788006312078064488825566486",
                "326608129938315670053060814509201986435",
                "261054418337733613816498535712274442246",
                "296863529146991257212036202859544784167",
                "20283419710465373020053764380500866679",
                "53913656479756828607546571773707432900",
                "321815961355950059316320136294488860306",
                "300627565133503824053869823554127173170",
                "255929711028909192452570944510408953326",
                "316573864747103328878757715208376749449",
                "328555464055046599358699362771514087736",
                "315858560618171286580035691247867257478",
                "251891969851513626359283354662453563431",
                "156140792398859550493668969242563698459",
                "229495053389268309412704064415679391717",
                "3283865138920445345917624728815577638",
                "152283626045885749522611414256399140451",
                "295393628796332410353159920462115555235",
                "318317617962718232043732617029714204148",
                "87951301595613101435627349095016784304",
                "114696420194882097381589069573203132164",
                "337032125152295627001189346617574002111",
                "109694989542994556338580774626238708835",
                "142915834012516600596325133729214476826",
                "227599119764125417561815598655328805659",
                "299939252450798298638240635423764672363",
                "336270554807084254867218812153323147235",
                "311483194658849582081534318400274121526",
                "75898954863940553801231210623975587837",
                "307458809256643058599229374316787129094",
                "225176382697509398108232919119452009079",
                "18688066726237906411015178464734335395",
                "14683838300920200434991033192551778991",
                "293861029690622120066618138474190124572",
                "290669586293874951841117524264296328729",
                "282985666793363607427658095357099816700",
                "331146369006869624390493077443698091136",
                "163578143447897481428015292831564460372",
                "97276107832257113312991882133716365832",
                "195194074841268123875579233480165484203",
                "74117321965805656190562011942287662609",
                "211970407129750888151167051349414212722",
                "172407708756735100214685530491479576088",
                "18060139879110233486104984852405036703",
                "108891702512861576841820442921852744569",
                "225464780471804851699599971057227464037",
                "109779282592390714099634698617095909888",
                "317964432163149087197534623420870629303",
                "26833995317763466991979550325293060715",
                "171697476732402767181226425998315155588",
                "105465106028897340455197587028707471297",
                "88745439867448161581240800263255631856",
                "145761474928500057723002668761312104387",
                "8930133446228980592021066755278659022",
                "259128381245363732447376219135483034757",
                "261110084910776062414999948610059222850",
                "292893908833513778337338760837580131499",
                "329183742371790710286935087541859496783",
                "163981010066943947547342114792501303217",
                "140156171887758381013518808821002519597",
                "25398213419927665343409686472768262938",
                "34798918383160093298690388686009506645",
                "315678594692203919306201769983004945861",
                "309550893053194628662801973669164115979",
                "275016010150362595142859484386023629988",
                "119605061750087770613184633679887367894",
                "157218824684883208868488771609884438034",
                "326806199571522455748814716889048647259",
                "13130300140888512171543017749898461717",
                "304570568500606933190156962708928154654",
                "167138233148731522495016415838503966681",
                "71055567371244839811728696250980257989",
                "215453743235869926844989023629379499243",
                "225359274626093344644348274979308010071",
                "67483576645777839390901263927574381543",
                "287360435016358423740863622765980721941",
                "303068317673591439855972833378188356431",
                "228964573646520277085739135167996126754",
                "151653603772562613425119447889202333691",
                "34865137100837331712506405152309617093",
                "173678526828734230643432708038747047892",
                "20968542184825255231225020675163411310",
                "266149844361519205312986669453812582745",
                "204503378763229318504625599868493492696",
                "13531747596203968543476696088142158535",
                "183356219689778887143671393072429503370",
                "323852813151002306874875600571112284890",
                "220683907663152260232698319012302095693",
                "338931549901680498679512351752381051928",
                "94036714202161208638327291606782327606",
                "124214669201429326582507175694685394883",
                "108522817351415846841840480034335535993",
                "52479723030126212561741806805143825035",
                "93425835563784089957103489902929133326",
                "134844061549188672300793058677737468484",
                "324884967669625836451660197369522085361",
                "110530191642490424637333039839283504168",
                "139340999759219233645656041117171106364",
                "179000076540835219866304652857061683634",
                "26516900761168565857769518277203058025",
                "277558218707010742973488125152835249021",
                "66068813738264307842793254633321852234",
                "107800418288817273167088380096227389473",
                "204323068256327325985266767792483865112",
                "68519162296100621067898492504135763226",
                "136655013413786584674334145910791597377",
                "293986993774111341630503204666505003497",
                "331967002831960905723075288353257219021",
                "96949704705383865483947210162832836595",
                "309985065383638838947062709306062730522",
                "25913658023087975231904942202218162309",
                "313507151901813806613834374382268322861",
                "172343671569356763715444301620995538004",
                "75332689319585149342855513306496588692",
                "223921307647390826894642852575181618360",
                "43954070763409436099998372165143534962",
                "100018628582749393645705527425328949693",
                "55904543196408675208104716145452474738",
                "140444680317797231984851521567220701419",
                "149363560232435173038296053194934034315",
                "107565486713087440576063610096296572847",
                "44699242334886954364259295250164832187",
                "6285111097567888647193839144436935368",
                "105696759470134563362933046292758713233",
                "208595309907052889204120988610158662658",
                "154480472627014948819875810506803527127",
                "309880717231147146021389353280163019340",
                "216602674977200411749735916653002453687",
                "234001055323681375355495799783047152606",
                "215118935489314454995885377121577083794",
                "299600739613406594411483557612370342076",
                "52529578166453531321952513633643592439",
                "74348424693027858497174663281264658884",
                "48097470996305102534852855862939276219",
                "244969673755886184323113455538866045036",
                "150198004981432537576898320888884687691",
                "148712838317197087155590254434012154510",
                "184036151635577237940669126826758122280",
                "229661670433215994454248125053252263799",
                "300973992705650277787058362828263302872",
                "304593729047059391902868100671443396685",
                "301864877081347290165281618587765820864",
                "331594273992569652295329893616769968924",
                "239264010186727290654079908633302210527",
                "41144409586956208775632095780481745581",
                "42637417070287037851636955670880383194",
                "87981050214764175814888242556814432168",
                "188154536337253958452185103391253946815",
                "35191363039289570134901100776322861137",
                "268976830746108740918869686040414254429",
                "300758383398873789323026975289185113923",
                "243810872174715484212587418474551592824",
                "65301120906268146817546291916742142557",
                "185194862745544030323965577847978950930",
                "282160674849214819445905723660238006185",
                "252286051489852572959873591084301213296",
                "138077133237221609174117973346815781009",
                "66283352037465921680146261907724023622",
                "318172104361895019239535782574247815022",
                "112492003396789519682428803864475605354",
                "110795040866030629594657590919415189921",
                "119075446001598971923144227551973674849",
                "141226396995145489167353813955087801162",
                "139475268669914821209580221582589418477",
                "211228590861589452437098902316422268034",
                "65183823002623026110639901964082348862",
                "269162162881736183694543423385263357151",
                "75084144570227317046774137608952625742",
                "330279079661991208658223506694671337397",
                "289531308749491304246855206097383477026",
                "8974126275616473884355088564024129763",
                "80256940233611924463325622104485919259",
                "179724068920494318135106432852706088894",
                "324467020554717970535002581642340475213",
                "312239496509491150005490681706638539627",
                "53644266083930456198947116820181481871",
                "228230250621442672087373215898158573726",
                "264767411595106883541963169062944694157",
                "18366321640435370161096037804837877654",
                "204402097695864998408499636199007277963",
                "79168646176545618620202665322432280921",
                "175441184344375662658764860801545369815",
                "168956888945732687695487176965409863116",
                "159735243984462464395319338105370298413",
                "314142739076007114542419994492532211133",
                "291060691641110330320148719294301264351",
                "153137957276886560226684230589782196977",
                "108809622672044996206293537551850016334",
                "130483296156453436702432941320718218870",
                "326145963927880316176507523106303644331",
                "196977807381540654444582422528000653030",
                "118777488660674356695296505910546863166",
                "309640745613454438881460156040865225543",
                "212776605193814473742534282287366452907",
                "82308181011508277557829117214058483604",
                "317194744220612232569712833306355199413",
                "27956878270152001205125610210623270828",
                "294000920087660876240083255077328771997",
                "297148344161624071260025064664312480727",
                "215854656117832691658037489212326769218",
                "119489759305272006381930734281552004912",
                "96467008551994140803162264882078679471",
                "217540090422501904444527171899613448621",
                "150506943267287942782235288305225538161",
                "189422490885741713296681667024002029151",
                "326008973712935595224603236557442421280",
                "146533585204140351131708342094317210043",
                "6864141417606766699492314639345179598",
                "84164008158345902683712396573396725670",
                "314110470001306497741234583605482282745",
                "152156934909259777451139242256009483574",
                "245469946178334717506090270212767921187",
                "22695796416173349946994328587365833892",
                "317397088722226637613795757978680932574",
                "51844574890566610417171154753160230390",
                "53745634224116140529552828466716263808",
                "253909246327627029933145373243607166213",
                "43941381745545942737208793946588826842",
                "123814647088111731479770241319842890949",
                "215676198672542936406168896940743924493",
                "97502484762246055848088479051597791909",
                "76842996449432627510747401829439004923",
                "264805947400843524012524564589648126695",
                "191249029106769312189369737299850416777",
                "310473063356767356051571239897053470188",
                "260967233922515423604873186978339067542",
                "81290674569442055021789786691992087580",
                "192557145714713045477522030668352958292",
                "312406463301069282965261351561949827480",
                "126341707935443493778363514419728852221",
                "148662965950419647878493969302007803146",
                "322050664808352983118784989052275077798",
                "229409168371940137595956693818587680136",
                "286704074421021907063175637837049362395",
                "288450165468405996545718689528832538563",
                "266587827226084892709758647835085230081",
                "275599517483128431211386259311850424833",
                "244808911265156081626457877855884520725",
                "258402449951368752423665202534675583914",
                "231282185720380720257799594387838275275",
                "291874198814545367223428624834723516463",
                "256978058680218968808630768855691792028",
                "102022799423708629260487036585528223212",
                "59081888137704033732742941504223565393",
                "271028417938190323127315695866604611497",
                "22951540663537783184893322922751252284",
                "93316978407256627106726613013881747153",
                "219453157732594436355345207811527060954",
                "141713840376828199211076239272377760802",
                "289381794509395317233388379032350138182",
                "60588272413181886991372667120573132904",
                "44164521195224446151795115997520064557",
                "36191103834719478193962395935088472108",
                "279404500328084724678740922403430763766",
                "43993960110136969299143705989454522893",
                "80563993350965299462962491710478183848",
                "119651845294960729436167951199070949907",
                "195734811746431473917488971578115624290",
                "140327976387644074720363350159140188751",
                "8886811259270211879340644265603718869",
                "8311386821607859206849035647284057233",
                "221713737284235203797191700415028847117",
                "108086346399922726470085495771114632308",
                "81907149249883979706846348997532157170",
                "222579747078463097167442007068611240120",
                "258316835709175858330390871354993321002",
                "257910350577485088262905906004734107134",
                "182883217250544190787671117458502176643",
                "196717889436490518700899284535272420157",
                "339931840620314528984420937274483199598",
                "213664630968076029009809956461635610866",
                "201517958365265432440561360906805473240",
                "47491628590191805132789114831004706383",
                "288418920821517436913707659321061922272",
                "301184159704612555820594047065073864122",
                "147429966541591297146249840680247066605",
                "132311875008271864941383445566081133829",
                "313851671001015891495072203668441798340",
                "172673130230421148601928084076151515358",
                "1357911842679838736235995249979897030",
                "138922689547696109871645507033490862237",
                "234870384265646266965820758240798611597",
                "261455526664318656898029363261592138961",
                "153746577616439685946149068352498868121",
                "188863191002338725729849887187783636366",
                "161964256005099689681319443826963675012",
                "180700763637520655164745554039690457754",
                "170318145601741890951697146818763264360",
                "176903668036416218669502563185400389835",
                "2872263559760537122238290378220991803",
                "253168166666617388464040580994318999160",
                "37122267259496950366963820257712282187",
                "137540038283391164939375250356863250395",
                "79594491240917088767472054409658967970",
                "283852191645595653586369682053342192005",
                "197138073259609752552517321687155218936",
                "231278370961259603466279563945971681509",
                "334870003682961381083328306423870320715",
                "33383852099471670341675194099866112729",
                "206487445022168357057485453949185878286",
                "300932836300474872776668236475219114805",
                "145356123258327162635368752612768835657",
                "205597632865610620155580081184850815818",
                "333130033582174221197531784086594844268",
                "306253204149885750784860465714592707028",
                "237649388616064757653442232002729987769",
                "54078206008227529458222783341433291303",
                "84135658189120094709525505429239512044",
                "30028424261210166928604798572067799805",
                "233847531783298782198401996108643947120",
                "254381312270247071935128036347356152083",
                "162951744817063121692919654139517731080",
                "328477900885885748268285873998773608647",
                "139626069497455074018913790011552303754",
                "11103702211767039072498121590732260389",
                "249223087506285767152233431883289589957",
                "254008363783034491707337069196757790939",
                "206127112103190065966824545983605003635",
                "84616410573781464831703698152950766864",
                "85092512433705549623212298821584939137",
                "37968571026736977511008896489828324933",
                "235446173802558352532197572407556815413",
                "236903202675170731773307851559755012482",
                "312772875671691525069898320444920895745",
                "311146767052997888599360435312402286642",
                "279269638082703878517687925449613070547",
                "187633823432796929336786034021095563333",
                "58580332337839804743424355057173989949",
                "294234282071049208852503502465145139206",
                "335700070171602738437187883703568356618",
                "120501000024396751707458546380416958214",
                "133304790382022222088095328502509260330",
                "12528308380455777926145138553250814174",
                "128584591362014812435622898614223704745",
                "287096606448810811755495785856547488020",
                "10986432410378065149345675350128374983",
                "207330105566452687076971487475886799093",
                "31022508735676618692108212508568085121",
                "59576794328043853455464997362675744733",
                "164672673556668913415111234054350287669",
                "328729158230093539017998270203461930640",
                "50435101640746944848735372624754618902",
                "287615597868875295455529005225456084443",
                "313603744938258056107182273397419016712",
                "112129574099439308554620972591938132290",
                "306317932109122633511350618269183470619",
                "315670108094431122734679474656212713785",
                "25505584379374579057479498779123334356",
                "149898766935434534348488475158508159504",
                "103369727059867023545282929460913081876",
                "308954524616094292431701608108681576399",
                "36499685825045264611060036399044453356",
                "118778210289033255190286092698143574607",
                "127507630166284314604968409572383988746",
                "38374001914543471805659454042340934857",
                "237669088984349725492840648325255951145",
                "95900953802136340269392386219128754901",
                "73800802170666509104567111349983832823",
                "62893220829693890462447267757759412086",
                "50415372832626369177135025907175916931",
                "43084871067829707988823570022379493285",
                "280142758282391740146387479656313894910",
                "67100226473210679446020319039221954752",
                "318206910039037815160090969362907276610",
                "279112585846089456339148703349995148297",
                "24604140784530654752777729607978123260",
                "281861985485361341081179043641096651873",
                "173767464128920733073651096159859769031",
                "273747740992315764755253394708407859072",
                "55830629982641034849684992078436053098",
                "160729500344221528423873567706417636609",
                "96543738640979690029848827169533286833",
                "253782396231359939239604969525080122352",
                "40545679562496800028103368578491683581",
                "147996286875505255093023725125873343452",
                "140450295144971682207106883189590147421",
                "159230765491077928774601789965502086233",
                "9480766564465997260693655586411197038",
                "274286170793559917049632312410721096646",
                "157478932993883927734663127062023808850",
                "58855942341350881199845806418144140090",
                "60058051275334172126023302161738209878",
                "96309646376119940575072980655922299261",
                "92844803744552906949924927556751559681",
                "11820906793741666646749961094966335112",
                "197375709288668720917261150792109476639",
                "192251880989788744471869110082603683737",
                "108830768154688906930656984126630075929",
                "173971068370011580146891968011058189538",
                "89555568616913048107136664258944222168",
                "251207888049776480735804027337512285782",
                "288578604973053447633963386339648888095",
                "168436697113454058163292818140579512170",
                "188050727133520199459142047628173273760",
                "70002323089941648187221353273528154936",
                "300615826709948596949613897097565892582",
                "45250504646070610497152579025711717182",
                "18644508655666388150506147371899095285",
                "74099961284307261506256684235021849121",
                "59122201501912527656506410639760150225",
                "129441548591138125465061610846858261764",
                "263484232136808872120048532330560458497",
                "43769787127761399712973504218461656027",
                "217773083770349195129840750401011030322",
                "136394190948441132536774601737597893470",
                "141321683686787795333406986178176035789",
                "26055493711224635278868066703737265730",
                "14192159142893501929147171799278068480",
                "45157898475718793308456737586509633130",
                "70499840870182873700119425829037515371",
                "21933455080398607244998537934207731910",
                "177212994243161870178712961468345609651",
                "282514818303699176055484475683815736274",
                "42123226892798146919589947769222420090",
                "63088962807818733772634173712074591029",
                "251938897896938301292274475781816918542",
                "127725793047854589962377924000437637239",
                "211546469785883019436570845536989837771",
                "237124729657572051760052996742763489939",
                "197532296577503129436973811401850467674",
                "185688517917714696896451459607234345105",
                "285204709061952343676192346223672275265",
                "124692340063241195781965750118973351975",
                "98214486083311792924009441077647782053",
                "132714036029294773405285578731759532024",
                "50083916425969938312365818401093289013",
                "129448203487927816205612252956069386739",
                "132873288056573017902570551346841253453",
                "172932214549198670105115869569059831616",
                "206927336666642346394787082626521293465",
                "289817707748363674793398231399952774303",
                "51190330004171229347315519156470895066",
                "161822586558263545418295355063775133397",
                "41766667844971641266914679764979608653",
                "216232915797504610131906420484017457909",
                "56211057679278574741547150780641611459",
                "54882116058688007637206264566278863511",
                "224670197024908268729019780306186472171",
                "26280355192410114106470736890384936976",
                "275414132550997076915295194288522463823",
                "98733001181081615272351090487265630936",
                "98795280767052355805878023510258297635",
                "20288875134690613965690190151151130948",
                "153014460474907934784588540616485820748",
                "176826884695942738708437497149748530759",
                "283403320697441574779954410161588278681",
                "102709076175948893674010593263983141888",
                "318924161826520426208919647310952019980",
                "110886892278877259219340692553123721669",
                "270502810289944627945574058142545165891",
                "229632745126897670841726756577652488067",
                "194616098879152661824834573884295450865",
                "265713565296390953860895174303309561285",
                "326508564241706138741075882551919743099",
                "249309973581446227948975349408966125335",
                "196337571377123646628365575753983631543",
                "309977424931401062940880202292111044809",
                "273247312326487090780772384081030101773",
                "165469160539579949799155992428258418298",
                "189348318581035351470306012660328338670",
                "327476287302134991076129317287912804246",
                "7628286229715377876057943782022950404",
                "197778730718307495241646136703595129891",
                "300032437574700977291179954760761423827",
                "36266311552208743383897195696836907136",
                "70603860916494323137307757585350327650",
                "310245439555137221329900769158278627958",
                "141100074818102874473739654846169779435",
                "280797309707405692581986785425315023874",
                "223762696915193676152095677215408426943",
                "317255069553366179538552994626614431837",
                "201250778763449446490740969268520904444",
                "288304222145209055295217248813458448154",
                "41912141956661251935514553467179904470",
                "11252049823443345222163376840941559220",
                "241442192251799414414766402783058441281",
                "158426836372588432304081460421012305330",
                "120109651699715634705540831219997955906",
                "118907378889347281485262632742512264686",
                "141427892369801227259748644625004476765",
                "147340635054441931813519245561550227732",
                "141553491682905903902198310941938439319",
                "98548251045326337472883365491355571938",
                "156378415225280628871549066857065318945",
                "181044134292640831744584255297868719994",
                "157350940512887857359995340393284081184",
                "46120384703009657196125408596928791056",
                "204977859087246703347300916708980316865",
                "166216951222219915735573452748625805453",
                "30496657453958138072328124721871670344",
                "296271965823065040812098124946710698867",
                "246635935160424054388778926338652525188",
                "99953221287455923858684664786156964567",
                "257627833686333883651888191626267825965",
                "327805129085329623253731871220226429784",
                "10535219960349938837269981061722271724",
                "200976348924002200566760553141774754920",
                "239351990402461911986912465375352741732",
                "163047034305892131392105460027925613029",
                "251062609399815438258150783114294805655",
                "247905956350196781968923078768699980998",
                "58893549834485466735057749840601122914",
                "270781176797129328633780705120588320456",
                "90816946678132862204135423422003751841",
                "159215395230005948730765297104543506293",
                "58371934773803376889620738839657733598",
                "289428474494400382140369051879648072883",
                "49325672717126948421936480617609263261",
                "70889888822167146615480386676849171541",
                "103963395196034700385848467748223811642",
                "131926752434484486798698269850695759444",
                "161759176557665633365256018534693340352",
                "124401831411205156382090221152303777992",
                "188894987857044585672571014033742330671",
                "304983739420122596227157714545053801808",
                "24328682586347380347246803627319208899",
                "297443535572415382855011808647375359194",
                "27746693623014222568622149842375748827",
                "152321691396112450698804293065634042778",
                "38652635552216452398796982446572082318",
                "223279829857281430372422762863965445563",
                "52520590141772086672627061872660154432",
                "72852663495363079624756865056052776172",
                "54663078266130439394197465201677862526",
                "2107338912789641125058180255787076725",
                "75103276544029732228945032745942401945",
                "152051499822907264845506456197950496552",
                "91189529266803477336953387471102774038",
                "297745719716847382595186298809732501924",
                "143777130578542697731091137167955284744",
                "142820658575597497603648683796554461476",
                "267215440833826795512231169078566565165",
                "72412552644600225735274670734860437091",
                "230592258974654623180929956761146487218",
                "278336998707818579183898326385019537083",
                "188108022261716656312199347336126675239",
                "169524464568777189673705038388326266526",
                "28852598951004894072108449392339548337",
                "142902465753199437949003908643752162916",
                "36090119715408655770636697833058525232",
                "83993879405881372850632132374256671595",
                "152427820454853224447488707918229071708",
                "227820248598617971991350592620195068775",
                "72910421689507452918617828666856572503",
                "157579476751118550110663408005044491515",
                "184984150010520460035612040841233347527",
                "30051445027319548682070863370839291016",
                "33480060650319969560720022074432019121",
                "8687682739736634899688290054388089405",
                "78426781794979810804264477366461805860",
                "195560476239027613346695814616641841384",
                "34517520224787807922486193518642276012",
                "39104487889271952963434515993805060147",
                "88531991015689059950801260755955810110",
                "303422640187328239513211760081329570110",
                "59503829778520651927203424787335658969",
                "221396158881431247906881924210872569481",
                "124587994736603606093550754754633334378",
                "43237137641304887822995315312705157277",
                "168406919731795413620559959675583768016",
                "130379291489013775793262605320862914463",
                "303493101472422470207548754690711078314",
                "84562450483809470272257765418844616172",
                "250436565077959056364284714295588495439",
                "324232245527937312255093018778170209941",
                "73452172955182383394783609314055584649",
                "232834556205448786259622232231421290863",
                "309580882950146946991014419961754238686",
                "211641777446107291240592831879362701644",
                "337639625650320325698553604794190540031",
                "138376721074791390776510447167659758854",
                "65342899229488960371833986549767810478",
                "112354210857938957077517371748750840195",
                "131016035189194848532588336047109741324",
                "144849676555138832503697555327091933106",
                "195903858809883265366035611811219340011",
                "277167084699129241887075072335008275690",
                "117718017133476991179949340556327023292",
                "113026174286898718169291807753897230973",
                "257340040212548357739893546095742659698",
                "81779234796038333117996832082336680858",
                "264113154522898564114880869843004325709",
                "6879487074429034565349049377322384078",
                "291784226360683690172875306652865470801",
                "124680919937021298371437764485656738751",
                "305777623387312570982621970941512134103",
                "250065783899064423268148625799724293761",
                "164770225897171575413057174674926108389",
                "310750690232084546312908697035228889539",
                "24452400693392030853005850135940812750",
                "281176178909507059223444769585069553841",
                "112461578325994552069228799772220682302",
                "222059638902000026528655357718211607922",
                "141457001261403996657513049271117576473",
                "154940027649414385382797794196495695085",
                "88582219266632228910103808814254710432",
                "55626363138376961733775286288821802855",
                "15540145091513137359815474359830487657",
                "284400079910609619086273041582784272807",
                "128911335626547519173771560540265995094",
                "191175690918442014661059619154911783456",
                "62202731942875091020606203452669124049",
                "100727451936841951927146609540405459786",
                "234880351327299092637557704621061668247",
                "276331752042284790738603401874796448200",
                "27698075024632057619137431915443810663",
                "19279766341625356951480588420292855828",
                "101457155609406046315109656325071969405",
                "287358005976464517028298479097454572102",
                "229561384479181900164353331491592587713",
                "114578171237844073400630670918118052316",
                "134196768792426174034468987744020930764",
                "117015731644742086734902641152248867675",
                "125716800409524611063701081416082898545",
                "290881385657334746313739929084086168738",
                "98108653465147062731172772363592633155",
                "330007340779772290452234648686774953237",
                "141983133329497450135223985249308676628",
                "197808569792986936201512344944857259112",
                "203619752774180260594843275625170633501",
                "124025843331529110542331651771554242854",
                "231246921137916139764921530403837523656",
                "92766715124217816993462010614279585249",
                "240635262828789929374695698718803919869",
                "1782473349904373601491125766155050690",
                "268119957295646538422109296752787931422",
                "284211698270187960891607735556354900483",
                "274832058849175009886557210072149876072",
                "222463983207412188492993804493365391999",
                "62624489065340477641824040374554331799",
                "40606325260177558436078388691927923599",
                "41208845525438606527578249546710019578",
                "275220658012890048469051079264812137302",
                "64786883623368295683127213540225730712",
                "335685280730256751864063186869620755739",
                "53626481819542605240682065893815062172",
                "313646236535204297847700168563391830565",
                "13699896555878350488363444220816363678",
                "160329417549110836382128000852330001184",
                "142631345650849127966497582356343374924",
                "29817776110411666272940248470948279030",
                "309412133995422124637683877986561255126",
                "208578987271288848441123200918733414330",
                "299745900207672042814610779284713183390",
                "200031604102663509784821884705819120904",
                "312548668650271606478524197501568460923",
                "180558697906721655905285074458302444023",
                "29598293529508016532804253287817943894",
                "328470350260437364817564297589455415936",
                "249997401600270304281733922518993208127",
                "243556657495031524231965726916941278812",
                "31026464337867845347103181276804554976",
                "141781259266413778102275875567312021223",
                "16512233499372203115640162097875605351",
                "57954301118208263464138820644032175148",
                "195578388797757367082569571910414154980",
                "268670411745840241852554480347388429605",
                "143342252226746279834301917076063524167",
                "244302888731152978384535019673663190320",
                "238861414601068594935205531291654078683",
                "324236230376908816178198256934047013418",
                "42681150418547782798663459419401427",
                "189123864916946565094746209819550764310",
                "19567198455632288064523578429518140140",
                "32491128120400236679104953036306765218",
                "198359337469870820705707036690419515509",
                "34879213880520045383710212826965407255",
                "61950364264519510224593039317443872529",
                "116159969537843966991385656734265712620",
                "53833339634467301926296883367110715529",
                "267946252271189413209788446642508597742",
                "242038280629193527661700242928596381447",
                "271855367482535712314704622342369908722",
                "11800677373481645214605115234834067271",
                "185615596724649243690406287825029513574",
                "257185696073408545190553747153760029842",
                "92155856832732626456092965129519313505",
                "54588671460849697161140540841804498179",
                "214543452600956031911618240205141543639",
                "329805288461290225636152943352836191790",
                "275876778257927936312864809627419242867",
                "109574205010981750473701308632427733880",
                "77100351134493044101264648732917114068",
                "198067976218090459501298302315496689936",
                "254847039256434016872062655748017548906",
                "253328289105074975014198675033026405120",
                "18739310497026368639478521014160584314",
                "187732739137088409027123008587393939490",
                "254178187906947140023878542171071258759",
                "172360294058729662692046934771665023361",
                "23275272649655165144961111936242436736",
                "112860747867791339523560501115682786295",
                "336106553052521428710955891336876748513",
                "200289823722132979271872997219761498192",
                "32576797280431378604332808684590754628",
                "94626721853055217722522733566845100485",
                "52902476745595779385677740105457693441",
                "200781190856459164889282235565070748722",
                "9075421056045126875648242140968378026",
                "50515702441760084669304447183581666041",
                "226003809771872116355970965476439202900",
                "4348052016358694116383177235459847551",
                "87581645479542460998752163935215102781",
                "93252345940712104879601982842255238260",
                "167155947909792386980801301312568609083",
                "225259632014063713931268599601381430465",
                "113972473742809664633326295592319931752",
                "163458647302300228209908763289902120436",
                "204390861703545401202855347325552225088",
                "48825157438412436474046699642676121087",
                "187507987311456953237634882868874211700",
                "94181300107526881529865708286683265101",
                "133520382769271427337287330011968596598",
                "234308651907474379054620360267067634744",
                "91257183452640482278501925541890502666",
                "21465119706036900743062542963885194693",
                "326312721844467226856096389022990507095",
                "111395515396797279249052864174218584812",
                "147413561253158877753172032512141430746",
                "91495682575024014206482347786047114730",
                "157289411718014709042220723066294619292",
                "324247571564957544864503909847419748866",
                "231501372221592633707725760316821516104",
                "128763206871120148730907369892527097161",
                "180501636135410765219025318343318570872",
                "137387174728985194756260756393908188813",
                "293802100489619666066085728205876255431",
                "11176665694933254124361049521963840675",
                "31736567725941186555693412094940513584",
                "122698107116280919405386080074342454336",
                "15846784244077817567463884673356785148",
                "296870808147822326440386706278533803335",
                "19586773719018010072455036055759052216",
                "168880456978562690178124237998823868547",
                "154446810545179096996139481619656781816",
                "221884401888492476421329394782972830030",
                "228527818796610813322605758798033038443",
                "89665036759334553135317402425410746709",
                "286298517491246072123733776433652034179",
                "195465852509720845757658916710503583424",
                "288193019788944379300176197483983661125",
                "21288867144547255569121470904241259160",
                "182713717688408091312077761863728933711",
                "244064915104132679466359367278039307385",
                "308501875651677589703463319842949984535",
                "243192336388791951766301274208811431733",
                "124976779186687844300468457546415639962",
                "1832336658592112041493701203464461192",
                "325051010698541758523926327838558820785",
                "340269511735754779517915919223503598643",
                "88934316965864674568649417015657595124",
                "175670856652665090131925410634239057600",
                "204255415573506179302197269864839285061",
                "276968948975339426000948267474307501417",
                "205559524595864869753636799910049139044",
                "103364374804908887658501186278821303546",
                "216925863235896583650809506744232079764",
                "336072593837660970859916252092746265165",
                "60198814558653420330671951960011199574",
                "19475189918092969578410103157002822765",
                "172061217669906201076839340705960379366",
                "101028794827578625880124470361609219549",
                "181664619933486534962716572425375320279",
                "167473271446172290759202182314678130928",
                "312940883661625893546861612014389595497",
                "298567509370584639676637557644775473279",
                "37021179188915013525494235085115008321",
                "227344793902604302106534522627177144695",
                "2206035878102063009035840058612710181",
                "248547329682032580956355852197521391684",
                "334805433612147996623296100906994709607",
                "87205020281357768081077880821545663008",
                "271177663143847708931655517644202056478",
                "205500516709511072768465797188950695896",
                "194725325510744625818169378261835320294",
                "294029299081422961346795254069690356020",
                "233330645482849210550893217608441367512",
                "94142552366524354577861804466832488877",
                "114170017977400189700132557550890261233",
                "243405040972335229503302181671148682168",
                "318447900136322099146931960993602460880",
                "69743502424219847352933769932122843392",
                "105104541870882731277302756844543704579",
                "166627524050494200295742153837177085763",
                "3069673329238377380588464689891049612",
                "332661589841668565700350552380111404040",
                "77288943298517500337129633195987913612",
                "175861498581962233645478318725547414758",
                "27077456765286525686101094491900084256",
                "56763784949283204965382630487302261083",
                "143036649092852638758700299300662912515",
                "26951776533406339988360280750739518083",
                "193017763480142649048147131863929544429",
                "219438140645601231504708016720945115568",
                "43837741016912444547682580212362252286",
                "94769733564378381911383656812777388350",
                "143297954185092341104808822505264613062",
                "18152498255411088423254900597067430136",
                "87831953351652623002163492227561489703",
                "84929069001602151426607619565889217645",
                "307345403570643616826950724173251926097",
                "221262536885571318318345220750394131852",
                "292607237023121450371932215268035733828",
                "13489498449321912543467287110994448265",
                "297031304632519749506357030678819026978",
                "164752796556385860274175526207131260857",
                "291311864800226198611313884796305819503",
                "324712857297744829440673423100847991798",
                "194722149563792028701585014829601969940",
                "30409151591585883076447858501615025012",
                "295451378169265316178608468921886424434",
                "156273825640133203667827599371919982001",
                "86164187301984583619729504260988605350",
                "70084662167445937149063010380341476237",
                "320263432118549634498186303691505114785",
                "246876525833322012234199235531685046956",
                "218765289956415227497360886485540726676",
                "25787242279108385720170794452322518080",
                "194404615835338368370464883029327756072",
                "154376715255093882811179719675922967296",
                "287861431179049994131384369152106148558",
                "88276200191687403862618289694382305235",
                "279191568701375564246003456083465951555",
                "211636570821734588357094037706319374049",
                "115554027487592539805540338784131831130",
                "28537768434074684460474773467241215614",
                "309822994915379429624081603395120139615",
                "247110217443498806274287106984031408164",
                "210989591994425840257235139704863573274",
                "242487001614344725571179118347322217261",
                "299993063359806959944138472183432720102",
                "151998177516345736789316552362701574712",
                "178577904051422920388765211931982267662",
                "12250374890427897416780319243097830915",
                "94592997587118759821592303332990643942",
                "207279234076343433770279088236039627594",
                "311861653440331523783592108671136772081",
                "14606638431836583177718240902057240839",
                "31308385003956173112429654818510868227",
                "128838286054827687568368171194438922542",
                "248830695335413891115849046476891101844",
                "210109197274517253719125736271904247931",
                "255748866774344764393208180709618694345",
                "152925731540342307585248196451852382802",
                "124902490981729128350464009584451411710",
                "338430556057440538262534280518317800367",
                "19162420624875060044543231835827147360",
                "197356296575959373187655441490966608913",
                "310484460355963179109037015368562912889",
                "93968423995330541579976642302943821660",
                "63226305655421556386390782875050442951",
                "278780190802794158339161655912710708724",
                "133559566539900935923982076804543905186",
                "6664508193543797437588685801308958408",
                "201449956496791044235351735530080126346",
                "224870839157257175071216884447079502551",
                "142472776236828876973735312148249500530",
                "304984420542058622620308743267037261048",
                "13063183960863966327516488343505458171",
                "296402004270069296487847082729558070770",
                "61343665843047353902002297513562297923",
                "334492169798858829449793911442305279284",
                "119947208753420880324071618669695177086",
                "92725407213754907464156042621238079080",
                "269070769131017744268722015950606564887",
                "67357881901547638932144486876534352219",
                "166778798725753914636797964225665288250",
                "26846668450541901834267228979396590743",
                "171752816724426714061401191751358606324",
                "283260070627133779484653334803969166542",
                "327167637781122737241018482688361182508",
                "4058828185264087125252182943590995041",
                "36010093179326651390818443887514094292",
                "262239699338744388416947188711903209874",
                "237140449295760844749782941254172376593",
                "17862295424362242108896895714770480982",
                "51958497653283594024405632421788397380",
                "223112093077193494841085746402235987473",
                "239311446592953613906326857879621274486",
                "33048280062888354215397711209656575680",
                "137660448349701608254152225550629228537",
                "1632620481189340381399467184240944619",
                "49367166591885864375061154692992680586",
                "178669921659455238903721573273548184189",
                "14123179981041570810031983830227166231",
                "128530683367692057089381984685350316106",
                "338449348457249943693226955839771853488",
                "296083030274780894245285680905041545841",
                "275820359592792909585354905458844391116",
                "331739379852353879855358483081522151939",
                "257873727579779291438169528769763007133",
                "46653134903257135641938025761906823767",
                "55437296177897837444193112824239724214",
                "165849624198015601246870166484558514466",
                "129203273994649822737963440645254036329",
                "216439991512857117839421242052353431412",
                "303275448640768147336632788432460410638",
                "241422655065425852297003926299873845740",
                "338216707485408291935108432790999742407",
                "239424644764009240522524418112715996821",
                "244123184327171928033827937283728702303",
                "81304860397083105001276600155457792414",
                "153861626346633465394627825321984173118",
                "139882506615779999049846125147076797862",
                "326403130403841964231911946455192800503",
                "324946485171897686615215601047453852342",
                "82005606928401239987420430461840573298",
                "153360766674494021479408592189230258845",
                "33184275528893581752485406954273110240",
                "58575048903907383614695776227446275162",
                "123482761987094471290313185971096304789",
                "328742858627372228441300553408322302500",
                "325470217368899153200558251557959866311",
                "288579508524109761972084500445635713132",
                "197854329222990251436526218272823974719",
                "71626561622765758776163553167857828464",
                "322279932616751154391924242636324496004",
                "331597106361658589032330837096999322847",
                "577265869563421236041286000230982151",
                "13352658297136418382152460009346425845",
                "153206632418850971309585451556560515112",
                "147826921599733808757793108045548130381",
                "171437677011162472862068950088617544715",
                "258876089894248718336595840909974114581",
                "7492357415711434445628860991802742156",
                "56801395196400420858181307468686930248",
                "232568315651496428741944789870463962941",
                "196010836402549414405576010674157838903",
                "204577814887396386519765649306314385705",
                "54757245670511328699150409942460277135",
                "239935428170947761336208370799117830301",
                "226759152010092194063773357924557033920",
                "128222476402505727067951672902267777735",
                "222511344746368050803067375558480784154",
                "174216726244210146113602044117005811855",
                "58836585294126343463827152995726170712",
                "156608398159356204406231371928922617258",
                "170557431342451822794242314810361941815",
                "230498756099738376471565693167493678820",
                "266084962652904781761435921712070771312",
                "153857331674790808908387158757439194913",
                "308650028643269510603790370485476894471",
                "304047118103548913103778661958844160028",
                "104997831192518773693751460084807541139",
                "239811343946137896789130637622224161906",
                "278199135379917454158279894270415884097",
                "4580879109211571723800370788195993815",
                "39462472474333096459765629721987232131",
                "328595244396467793993770190159608021272",
                "154447022357257871765292219915730159282",
                "8090422368369646235857169625169911428",
                "102718809998123032037498276865510833849",
                "97405868148708493781183858330801100323",
                "322287486450687994875645673846831206082",
                "180329390979332888120144461452479878544",
                "164284556600535608970064962600453103147",
                "15825183251970402047236309312583204871",
                "23744105465095408017620420505970903042",
                "106861560334424504981935244391282188462",
                "310396580834601472768416475490529490130",
                "194031908771271835885778331508172246460",
                "283761302410841106953587394468461896131",
                "46933654706382868215691173509091872639",
                "214193239594213091773650861768023460475",
                "171683761761945492804311953898664807961",
                "82049153585957700845237938449657198731",
                "190358246913682067710105394116575445721",
                "30833800235085388783423578642441064363",
                "226508984699124660337148788469541617490",
                "317077842893184707559767513812384056850",
                "35971430715321786655100146925585547024",
                "95615188518765668340804024454908563217",
                "32660395379752794555767882233794249040",
                "55626259544862891620845269991392094766",
                "79878392464469341091641070966729665685",
                "176792464903809417413860051712109945303",
                "149717443639206891030422086062251429996",
                "205703452444251531219751829555038917831",
                "87391008705202741202747153483658762616",
                "257298958462848153571061216413035799647",
                "26864557034084634175299203561163864723",
                "323016007536069970665733867182964145095",
                "255633346416638441119676567608423179849",
                "273705318962584539662625615349274543107",
                "118807103298761918436936311018638744195",
                "153547813074723179382708271376625624110",
                "96715884323351517054698415298017619876",
                "283684479476591413986128282568063341139",
                "213964982451928322781741124300367677301",
                "36274856808995709100072063589073991595",
                "85733572470650850831804994980571972851",
                "57504045457291920547255518124865068036",
                "263177197793747875959372115608268700182",
                "194819132871579617946214062922226260268",
                "82100888030685485055581215972824960654",
                "212217882801091873984635234817693869356",
                "135178578580981359365007729275329326273",
                "274667537794808517121714633425468185106",
                "143245528049576918719028230305057180150",
                "121329538151389364738335271007319075144",
                "132867799724122981124115996178686338542",
                "140712373456771959383236215036503947237",
                "122871808900934502120804112611847588222",
                "113846764020991191470057307408366147546",
                "97517954810588738554052152761700437784",
                "4631103188736774140461303216105088333",
                "50094046810271962487549783501490934770",
                "106480750322632839070866314843184813088",
                "53490751954392554024214794041412923905",
                "320243208348788804408019060084341810672",
                "7560101463999751055110548541994250998",
                "290637153266057515166755049969588269010",
                "110477295624162685533223794544667225057",
                "151597925000480951464605971361168620379",
                "189136175432351453171395263022836848577",
                "38990942507342018387118478107176058189",
                "286227729893352786206664421625184300050",
                "167218359879376901196940937285075085116",
                "330330346961880193432524005121409489879",
                "294261777053883587864914397508127726455",
                "108450011031714090867907634420413464102",
                "233512965606871166098549523611310627431",
                "338746508407183951258069212538490387929",
                "19420537482849385281424211659355586910",
                "137072972870455789886960463870929101106",
                "22063804646474712451438409238004256570",
                "60001909401985427735547595258060120203",
                "326658281502178933842473391820515240153",
                "263759766675227803972045244961758589971",
                "2261222482211185210479304902245752602",
                "6452050265048892563534313463820651713",
                "77422985319517315035992115842224455563",
                "232438752561658044220455084676813350317",
                "170092642971875212711034053949352090913",
                "103691224085055775886224909603225090852",
                "225064469149909469740213417560781051821",
                "158197085813294301299918945054936000520",
                "85380994556002893295410443763349825394",
                "298410914169726593293559816728112348351",
                "312615167868871517736838161027125245694",
                "168957037636874296785246266943787948034",
                "125331625198671641759397631997036703330",
                "235550892963161402061155411190485467844",
                "253487128010679574218060121211672320201",
                "313168893511654383533031526330288237525",
                "15136283811895252431395088158116648923",
                "99227060040386502029702030715471439145",
                "307875692891257236997605836310921437469",
                "66662524207558647645514519813801789225",
                "10385007022177285176720314626682564544",
                "106876838989219543890293929662242802565",
                "31642316439580117085496400635219814821",
                "206738892297662534812678408860658002993",
                "323864152294673799887987526134959469466",
                "158765047765505893002678748799084156183",
                "325649165509932162196986701990798954513",
                "246526029054336662337538241993286930239",
                "330505863553423126783251696040714128921",
                "237951529574505253129928238199393705567",
                "16822660955331323012334821406227285190",
                "200211347956812381620413026068890617480",
                "302077069430079265403319450386629406082",
                "113027492394364768901926436544251921000",
                "244680516357921655277941956781273598371",
                "120374972465866946612946528167189508782",
                "47049074960267661521563458605682757825",
                "129582035611378832154790776769607206559",
                "49953928465989856892594169033936590131",
                "92065657496214976332836594522054400731",
                "24222999470328247037089978076581797414",
                "210978744604253797306738282995617607436",
                "7377006787570081275411579848388851923",
                "238580950528327560277050835281952277309",
                "329058749742581211556633057229775981701",
                "319619769790581087482981503779228773055",
                "120338274673704603107729090102589003963",
                "46619550087372134571661606340725973069",
                "286865831405155167104043114904506763343",
                "87438497686422950728970869943636889232",
                "259092969202603612153472087974626940704",
                "105570075676159430533093763050622225894",
                "138990757531834111429092492552539128345",
                "210027029736621257935763948124260744104",
                "51856056782015073326115546875483498087",
                "156592244535304353420107972806475762233",
                "320106857204299275400761521187324007991",
                "163992019124972541616968717450577819139",
                "187941452822351490807502778257463802611",
                "56154333438494802272843471733960850362",
                "14198208330732014097281208003554973882",
                "244482897085613584132575704747461376777",
                "60943694052522471495283701565257908067",
                "201338992800281183193952253671552363762",
                "235190816060179217044961604382239955683",
                "268412016938667863459019241438207665132",
                "276657646636764315400820258161896831681",
                "248399763356399899769128506815122793738",
                "315263598061606562723938361781413122775",
                "171387715230916591732320446857626374869",
                "60751042927041916767180135511997264939",
                "121579658521227132587676645967787506909",
                "126937251731672007868105480232812419058",
                "98210517097105069908133108018536860231",
                "237186071166896525036041350295242845933",
                "270807287037904239133608094611678243955",
                "188140124736566148570006196704637387043",
                "313256632263799345120020529352476679071",
                "95496047991115613049619798219105678536",
                "241140248847400418918054230491022051228",
                "84579669060526545860051050691061322021",
                "10624309091131715000956958133619444729",
                "161367589164300575036945369215291634093",
                "248858469257894416472399932635201302708",
                "206186514710282278923949042917975368089",
                "119819317357615580771142701590674871164",
                "131850033812251731270938278308497022410",
                "34010339050268002106844748940388028100",
                "12985627601826079666008641475080892394",
                "14366000559713277889409189967584456865",
                "303577055737268115538036088258715856275",
                "84928668040825504704806032939470402267",
                "260560885677719232555049461923600308832",
                "254583427283299274227869846609166505646",
                "189989168313475960148459897051701049352",
                "17599723233647512412406092071550436921",
                "259987496327556238650614313146818832659",
                "288892945163810508381312628408312614269",
                "301646975245978619481717235602617491810",
                "67547521135706529947051840106366332967",
                "231384058500973480890743896573492316832",
                "175868481383869950068522535635271658386",
                "336865475065262749022550686418934527064",
                "258439073104130822365947553138482069497",
                "232068648750126151778915356435437005766",
                "241923254074078292098453027516708242413",
                "54232833425755918827355406431483250353",
                "148103119904644509404389348491225977971",
                "15143166664481833161483009800534437280",
                "254916839100565337788668785532166406046",
                "233924026147697652343708854258413742938",
                "134388500578409770409658953458510931664",
                "209766416905238431470280266706190095885",
                "273805120695711646234340093530010287059",
                "106206383735730547004355530043509924389",
                "166233035015530964898371826768636865909",
                "187783985356331134467884731102719561083",
                "48531802873841097316855991574715570841",
                "256034572348407455787878670596741728696",
                "147251660051874119970967318570272029679",
                "243386759368192631765927887829877591157",
                "18129754265919054766555280612939322116",
                "217056606980512914386828851492401470142",
                "15995386606325345419762077188898792513",
                "167791893169664043916337470384926095616",
                "339425325414095140880394663083942026454",
                "58749347043580329889943585562480515546",
                "268400580306170025193682000637131092366",
                "107099664797754686304900064492832123925",
                "209035574569196867566548021209700297210",
                "179185290967500498455555103242376615939",
                "168402991633347382827942538393971999605",
                "126258141151773520983004336379904033153",
                "319271433734358747998582435291204497273",
                "105401158566192052493911599552408563257",
                "284479697693260393525619406158506906843",
                "1120580339687866569979874713831427053",
                "236046748135845934373326002722274912470",
                "109373039393778587824193947530264648058",
                "23065447224860282342363069148626355667",
                "278000430082420601043648827633445588734",
                "153389649923791678462462306097227321580",
                "45613435400859988023501053054229538382",
                "192805016495883474644782275637596298260",
                "21749349021061625768668603432627856203",
                "299236586786112146302879653857621618740",
                "150059038831967012173954968154312431999",
                "291759826490687746479031695928539901597",
                "121190760124663865440570130576255065351",
                "87970094498148057203998294437345530583",
                "148710870900480736586538551381947997921",
                "230533538134967650404364254930660704019",
                "289360706968681833473904447883038816756",
                "35012694041185947487813283598759348138",
                "323465740072891662321493047181256351821",
                "176564042276152504459892478285691815323",
                "80454629788664669925141428968137577052",
                "323997447877673345672846539448930704054",
                "77761246062719302353803220525606248415",
                "1511408319049668131701433056849821802",
                "276941976327913272159623087501888991008",
                "246602529603472633952950338129873004099",
                "301801399918576894750548720912447829898",
                "285835531202731901505733851377495461190",
                "236480066159514527092833050967995065278",
                "328653742939542753508366707199533940436",
                "138680010086926992190809669984520878629",
                "154745250628559905156376173070329523019",
                "286296454050651955285813636742386093424",
                "193675215471578863092087147985703194533",
                "75086912717132654597402702035308995324",
                "320955851189841233204661335300184268344",
                "75114682163001688826723139944724029478",
                "183427084484529763796568555118914736051",
                "117579189550870863617113158118135064131",
                "54489809781416654661871014259670404955",
                "135646339471891174281617750134555282241",
                "38611443207052487496268134417939734743",
                "231087411379654441020405068064226039268",
                "240128493732065244158861966906813358888",
                "48485838884918696359328674732172917740",
                "86653587593631065193667116733313440359",
                "296559620672791678666219122794190429812",
                "148541972335493049129701176619622701484",
                "227923966502509092518624627139186191235",
                "124953976373236604660920352786723051697",
                "111498701497367570819545642098118870331",
                "248441093800711987432731895618709137238",
                "13542573683515014805164367453617390882",
                "129306881369844474201287140600420236040",
                "73468552205896154868603267153017911179",
                "168326086380126550440520189926625538705",
                "91534596701948939571901599309930758816",
                "29745984708728713475794412507654649051",
                "339980882500795162466876971691290084046",
                "257585961862656275381673939374235103216",
                "122519196316075595391103901869899917432",
                "45966072395090255179646001484373797720",
                "120344534404598337601954050440849720265",
                "217693705846958023340439400436902530934",
                "62613351800869532010194523285572211179",
                "92904505750160402603765442293958903080",
                "126087679134056469338466898021092934024",
                "56728473588164609940959768871840060955",
                "169900106346359942460829729550165242451",
                "141369382876271121472496847177176023761",
                "93943519061516542698922585846314721619",
                "25982159100028256762349932542280940715",
                "311263532847174389947005972904041123176",
                "249927329529776234227101910530061502343",
                "329469057851800602926053468557941738102",
                "74891985036216438451449462237611953967",
                "281576835802367436023563968023556277070",
                "44602780917671842493442765188948441052",
                "22973577770782260381830173629997381157",
                "213794070785107940262321926931338123019",
                "170731929085479660700725142943614980413",
                "136328119255097517857898089537421582965",
                "67810118813640185174949127991069092577",
                "262706482451613552646249327974578926163",
                "1643021643356236897259289994802815787",
                "217297840426706241255874828282334971469",
                "180157345987911681407343103678304617305",
                "267843287910195863318776752700763948049",
                "530990207418201055430343293948345788",
                "216666218684379417051666772026292495829",
                "91057683958529937539285520372651741261",
                "63467263712900395073875484351192991257",
                "196624701070870380828606723680154960413",
                "179482525953124819603475016720037547255",
                "170125779168203423468598469677667883486",
                "74648100442900789100773404436058496995",
                "288965490716365549217561033263900037523",
                "258439972427467753767984475187109597183",
                "245565652513325501027756494041490995627",
                "280124134900282323468259847200126381672",
                "233515113796049853424092437456396877958",
                "115050457255579342264751430755132531162",
                "309573427173184835966064994284893075176",
                "22261699792756268816810473156513300387",
                "304668777461197516469849305528328909923",
                "251773546933861643419573877804309465749",
                "237138753939648358660850861676565215674",
                "132783523956186597751449386362629085415",
                "66352553266753766433124340885444013081",
                "198049379773969358663461086098441451124",
                "175635316753761974564063461310597097617",
                "179878500207749276501348918833603747670",
                "16813350800920201380675333637533567504",
                "118106612161213259075728221212800752710",
                "8251061472016578748523348322673906880",
                "72493458762802798123319558555855046083",
                "322762913809184236137281215583992265036",
                "248903979166213553187909509700991543547",
                "304771081892905077729857752125550736872",
                "241492504781471508155879014710994500596",
                "90339409004300834723224370403392681453",
                "338063247968723006589895158946639203156",
                "296935799883294824651690943701058559525",
                "146033968668936544042990933516948343330",
                "137978736059029196886291622795364524340",
                "50602510616178957488562550145061490700",
                "65055248871097946552113013180500264539",
                "129881982277937054503758529629935903612",
                "87828325417364860465197571361112102628",
                "138114930149384540889501602328941535970",
                "291518115552131316769012766849244487639",
                "266353522872122961030239690941376661058",
                "163876394977989537922222937741336085995",
                "282297399127659065033624806467701104513",
                "337175559337987774195363199341249326932",
                "11627318244800968737512902509985270131",
                "247634637234049516321839808143435484191",
                "216809342197250277779657585786404872429",
                "249591261438391938454436195898761426432",
                "297769440457644608732978376514568454465",
                "92065224789604390743240020936473822201",
                "162565674124991872996594000512662841604",
                "294778875858221446620150735863313880177",
                "6799141664882836326814771308353610737",
                "211363160113678315265187778920505489356",
                "324294660131905728401080226409886810979",
                "334727785702516887162034402321057399088",
                "76320301033911017465732291324330488324",
                "307621069761811795479586410827104295980",
                "49598712810351945108189425363743460943",
                "305007412977763747128344386915041376080",
                "51621519200053659156990294340878626060",
                "155990653323931755393281995377960395432",
                "304324854644478588116058694905914776544",
                "125518944086778959045030042312190235187",
                "237153338291180188308156483893584997029",
                "42666862108537426064085170556586080094",
                "167280376200512606743237886890876754079",
                "278259322488847344028862008977933226104",
                "139929159766320205848290722317326856891",
                "188931581327294160020671570156502929586",
                "40460486203709073836143939644437485032",
                "327129211668895151942263399948762469936",
                "56985129100597069343065713038326933602",
                "76386258671550770530277809862287239813",
                "176748221292428508099669539914494947884",
                "62646794235816164541025752652925937421",
                "213987611419665705530007725166075249513",
                "137714390735123214281781550516411227854",
                "250150632164398224697583931604133458259",
                "66041007241131810957979589190798029441",
                "279243855131035011354721189094783137057",
                "55401252997999075448959621060117890795",
                "176632175494894654809863735362665607028",
                "316737614890772440229996569744375723656",
                "226695774616292911683891129780312814245",
                "323111322964679939574882796495376128798",
                "147833616673438475815436851118642192552",
                "276874885737428438043962919432800270216",
                "291606561897262564213458565522947737372",
                "325718479159018477007334606406343169461",
                "299930640390767178043334402053860371503",
                "251833399265078207447968065446078267227",
                "96626654999674124332837251688620805275",
                "62501767821696323584377741928550745455",
                "305660971950108229990275073819510471449",
                "260535142376451813367315117015357296108",
                "71379095438794735690998828924697653267",
                "97395277348107072245566378363184200387",
                "42581821374240501582486538200558124694",
                "278765147972406048150182465546174134756",
                "319405921699437568953079946035156664408",
                "318308267440795761530012405715310100271",
                "28676742662830992001573113811842088800",
                "303626972432688424728587686801349090545",
                "252260966806485978103036833517077628263",
                "258348917209833343821613433486232279835",
                "81281932841316571899417460403538180921",
                "109758946110163210827847056260977289553",
                "310986060754678886627125989737763839224",
                "95344222669128462858810325959710196809",
                "104389645240772457542797148980523087047",
                "107055078892390106944968223208106047580",
                "217439992012841935995727427636891461866",
                "214236316944925747335082950601331105985",
                "262341061257884609054301904912968573136",
                "23640833871426335139319061721740170650",
                "267834326510039211899787687971508991617",
                "32372231105919218493789022378080959684",
                "1644512401835079127711589671528065790",
                "88492638536301216287467730483945064649",
                "156974362979249059823736963117306468230",
                "228075562799442107510690888323569340589",
                "73787732312033345892766326404261914383",
                "102699867344372427514390889129327679409",
                "296746677097882110542683475094879093043",
                "96201240284248465816657480767366077043",
                "38272093902849204304303300049252782632",
                "173741237383974593034427403513676182629",
                "84677927381036260460715653000763024616",
                "329659874763656085797028173696126853279",
                "21155311953223763813304592019211988081",
                "66030883370339124192388470410181888766",
                "136742317066946510934083640286497674431",
                "180056852949753344490375483949986302960",
                "323735093086146173824471121809608286352",
                "234841051261765286907627999778899639149",
                "230505565796288647705015345365521460196",
                "27618580467556483436726297940871435158",
                "329547424112328625892819616050547297511",
                "91979487894458021762789527841208479531",
                "17722425990601117416779778399637580024",
                "271123018588792246231825123164349934156",
                "154215767046522802628301836473119166313",
                "71493231047800081720434972335239980005",
                "129594731251159878774021422590755840660",
                "106875152396247036673468756593844633236",
                "203646818212097017617619280621027166382",
                "35884703784539949333371446259815186159",
                "212894809849680131843636310935436832763",
                "266241837175172384587208584255746464498",
                "144660073931931518517756700394204024455",
                "184472872319195523706422778407332466233",
                "74936497821183764627134765844176405386",
                "3359081145157508602273941959678189401",
                "68283733775051335567386766771928798790",
                "257195438886968145655700094211703239370",
                "145747058855028137506374172118432023315",
                "272974324247161897828212833748810354822",
                "7977634215171666563201223692893620845",
                "239151825861513534707567381042797383236",
                "94881281836707465721278917902430172761",
                "106570953622612169952390003208986965121",
                "205402318185393963792366118606111198076",
                "165656881542852388125077790928992039259",
                "266853602511311623523981033060986433380",
                "257659711000197741843519405718053297026",
                "260148908308626518685759643592832891084",
                "226581301053224703935555801130731891228",
                "23475394136914835965995666931715567913",
                "172484858700202086748870684141295271050",
                "112647132914267267696371580482445154577",
                "131288353552794877221538435845877248434",
                "36599190974648901930220244938752640769",
                "204490472699187442798163141967064092867",
                "172880055237503802756004612205885546461",
                "203645884357357473218432460472912620170",
                "331376180858704042883372143687853050311",
                "319889525578995368894825880362193551095",
                "33193831781430803070140344311395283849",
                "285520881851210271089426303067779985001",
                "9085742100353255000244649876614197211",
                "336699854997710314733552776450327327784",
                "87356817791914365847516529630776817256",
                "191460887808701095803663116811241271331",
                "41938985766656391030004926963085433479",
                "8244489634393619400031735982327097959",
                "197451052806644191677170696080883893148",
                "194375870302164089801703596217369539887",
                "53691041788832448467438416460045669378",
                "153584124471912186818858161218962829826",
                "267168187993903170326097621312877803004",
                "141860843844712186402791961078623988674",
                "30101210015275513286077791465250578791",
                "186119286425457936586268457182200752840",
                "257000514757732374971168087485732769793",
                "3617092273380104492534702898462812057",
                "160197995399020465045714186804726092291",
                "334690923187184323058091229414727893690",
                "226145103513473366500624120399893490428",
                "26323649397164343431030024990373963958",
                "180503263864258221038886225052674775184",
                "217302533182544163595144794652313309797",
                "299427102587256474669514782325683978641",
                "301911301171353463967200335032424041039",
                "130250375966738949140359438590689523751",
                "205355287917004849148631415730710849224",
                "186802116357676502410675528111750174422",
                "25972056212662243192654316322427396042",
                "51876646446862358054986006448995309181",
                "127751044711291955683423658877033517204",
                "261419107727642722754558143574141782319",
                "154064711021194618000666067078384105597",
                "84322099326753022840693021906087758965",
                "259589096616535326132901716042943625711",
                "309637734358441279055940639936780467539",
                "139470072124494859600826759940330796536",
                "105802115505264547027671881603429088205",
                "80571177387124149613633778091919515552",
                "266915990877371718122069611031189345129",
                "144252542912682288861949397345974750597",
                "330854569747011379000870275354842039008",
                "151355745994433533583340876462485768447",
                "89793968262536837264010728032570060160",
                "260209365739582058539109573563760558678",
                "7221582422643636463452721702618527635",
                "129762221669260845043285955894462437273",
                "149688041137020852829336234843387686663",
                "104507854179442871653442222886779215099",
                "172304851483915714359053025120874352181",
                "27946303780112985872746314388860346989",
                "67459338992131147027222105139771810983",
                "107570209336117863593212715322063402318",
                "328790575539632878770145875843615647751",
                "311889029021731313852992082208620996083",
                "283464813782789993135758614781244379572",
                "299930767828282769720481918463231828644",
                "280507773945693905788749225458245867721",
                "36949238153211818110050556181430429074",
                "277772822603660596819017099183362489413",
                "18855785170292010268463543366810547900",
                "248287904315162562936223698913356211003",
                "281435002404172122009682606505655501990",
                "27527267412608764490199459209347965704",
                "199897967929518173264628906026615641245",
                "176558125975651114936904044491955806449",
                "138787242561932200140333209571378380543",
                "54907363768839344752212391806077185544",
                "100068701345341870233782830030154375178",
                "165788177849720017566623159137949530905",
                "47966936926394591270228580626797250571",
                "144315764043886401378254567045892030931",
                "66746998672064694093265274527586875611",
                "271298230006868469081345600944992300318",
                "26036710169965941661094179720274168168",
                "272359381326869486291736141011109827048",
                "132944337046879095652718223740446422865",
                "258733958911310685029935657573645773881",
                "310300330522443057307652308435468906783",
                "116570258441450049501746767725083461200",
                "311161273480277046663668759706393322992",
                "190979506629964720572000747483842442331",
                "309532378855005042470442146843062504327",
                "7547990796079802956915945432602432906",
                "21432913718956376134517435324586571408",
                "174905693871041803321630686175447646675",
                "134534695061327852969467337493949100650",
                "218600070830372638434828056330866117028",
                "256764061711267887032080761235544303237",
                "259296822060236662250211336969113698856",
                "119935517678851223643204778524990995312",
                "211776970992712106980133197500018064989",
                "250525259775539722026103476287459115420",
                "122835796643646376644556717849852105984",
                "244600360850793619037718054857682333743",
                "66643617017037845757221141872800113028",
                "125088282078447621458203837851103923799",
                "249876131915250634289883166606385762862",
                "314904033765748209139496744843761123897",
                "75358788124957958327265963487757983469",
                "277741254944516870958348553140086476857",
                "4099659282764333575256902310485583449",
                "334600144150640639630654805576051272993",
                "104502524819579076141075851421061203173",
                "110055012705181829402043042254432111224",
                "157644754638045780011893732234802884409",
                "183462771234937746621017896870261678508",
                "87030013683861608515967135330857855922",
                "80199978519916502860962997197048973329",
                "277306689402003409834937383597239817799",
                "229474135977513992014208345224490696746",
                "18556943545205147846003859158877605988",
                "63022083399312624314819729227410807505",
                "258602469565416010631703535668776424297",
                "225366637897031025317096791819944346134",
                "157879331024653715913111380010046824093",
                "131283316671199482660870972995064288800",
                "61166256268053633200339765249807858840",
                "289574946459730036680224686382490766448",
                "167182766049495134837525960445870070064",
                "96329339578005969824928131497115901136",
                "195396789697369937732711527801633647435",
                "8018048677293434516691327523642715336",
                "245259762623591980551719156283693254658",
                "321332074672228483291887192886826291074",
                "178841816323785282588836338053934933595",
                "8569487632749666906078625951169917086",
                "272240773464673746279795228132260562763",
                "214957665857398370785733233221309402650",
                "207101424271393007585510476844954166497",
                "42160666941824243562509688158776260704",
                "116019153273790237023551636321342340660",
                "22728753269436886219705607380204056745",
                "206048073053088298632088029811424184734",
                "154752392127514500901108840974097223148",
                "275701768520621023345947393979779580429",
                "281142973157329009788506780487332444982",
                "18485965750934107339867739151206344963",
                "95885362591403530654704253912938794305",
                "35899144688274896026466913862470794970",
                "105621699640625298311734046623708919550",
                "89703612749063027289812643857150922493",
                "51194020640992540871441462999800728501",
                "318127090681873218733770062613442278921",
                "107680932152010771444426779239288532296",
                "37060429621306139360847780573347621433",
                "199320190449862225609723874244098718858",
                "156599194938965931644801974385387388406",
                "188363681180555244610438583791178011519",
                "9432910152122677709398187454073583489",
                "240298037056094830656443097711717055284",
                "284997847734650977710070031417366155013",
                "320139051778410299081430985228834772575",
                "39263064815511826991944339139512987812",
                "234604056689404395214711804283535575908",
                "118521063447541004094586970627651906008",
                "276911459105101767221620596161801867535",
                "311108621476074949854452240921108548358",
                "10713922592830828112890574816377686236",
                "126956466318677386176615928350288614452",
                "35064609429626982960581032656037072371",
                "15739928444604194419210012932763952152",
                "252355603617804411974713714288253553918",
                "91354535693913171816192035839472271266",
                "131829052733004904962545022908008260743",
                "170121743407329161668194212038420370962",
                "242384098147755598779929783337654163344",
                "186021120604164220861665644389264103090",
                "94753949088334976618506405008373807187",
                "36138528783595558119197897669012704367",
                "216032778230878261239877077659865704344",
                "155485704615131914804079509034352253965",
                "230889972040041073088884209581327248297",
                "263754604736796832948652832448838033635",
                "289491984046639040260338663606931705102",
                "306539022464895382640997696619428020049",
                "223439821241749902910275232519128459946",
                "188945765330777868920992917715198271620",
                "76072200919557240245960664057087865942",
                "240611187482426026358426763786785701664",
                "297332156030695949742117007364312530443",
                "105053253724076584520694002260045659421",
                "164924990323601151547791848200794882783",
                "1963179266838319619392581213989187380",
                "133979151914387088981925208248452499324",
                "213709990094764939626043674135342502199",
                "92070943889943640748100703406422331910",
                "60308586338768673545322533338866357839",
                "281292639086172190882915965986208296456",
                "232380139670153830109491679635124079652",
                "98378746477610742248165183249357234132",
                "179813326077800586730105141136625460292",
                "101466108005634102173446860903974695578",
                "171665225292426789271039847959114740954",
                "334969047522264881518250589572055275174",
                "47629914418193448914485157375443484860",
                "220982907864181814745760474899823873850",
                "301367694827136259387968734053096037747",
                "100009596695111642481027604411134843691",
                "297261909654829109211633507930358601919",
                "174490933281237829948860719314279060556",
                "44826498857890364912884695281678816702",
                "278039224727038719258719118141251964910",
                "90335581305134669707463247334881914332",
                "320519727906392158121756663024452820555",
                "146862952472050964636771775878616959619",
                "276375071340583512046262862499783181274",
                "180149779908863835530074928498318000524",
                "169480828597237782125224867057749275056",
                "232837768475281579959459202400476752476",
                "125013648861340373925653827814136703007",
                "320086647219983543491084851617214835260",
                "328498609519392795793898849360980419530",
                "335959248731998873205234583983442381873",
                "334586637540238404952234838193088854418",
                "178173165449842706072589547233147334365",
                "60257816865541536829358061389422205768",
                "128161910082246491666328433322120314187",
                "163296767339743953393664703706509199559",
                "173050086662921866703172174063448029698",
                "248500658882599758758939763751867076334",
                "6285209995365530359831532774979543338",
                "174409664214953523784624359011852720027",
                "181572293840392127799699819409368189374",
                "216103955648389257785865872893855999216",
                "230611870992186053503161211287924956967",
                "171063698195976072884506993374520384678",
                "157550403587202819164670743765806194604",
                "301816696596145697147310573286511229307",
                "303759157739457364212980623504197941267",
                "219900909379196843520868561501139391426",
                "332147906941107338718902564098004660179",
                "251382684784366222205724395194882712140",
                "20193830924710817883095379704710581482",
                "213806688429992801369575606536951750513",
                "6201127714580424317535689094794551291",
                "188066356767472483146248647064868181520",
                "25696913055112574981214121467955839441",
                "108593266643577325376653719076213875991",
                "255242580253981629766323859895213997319",
                "144441789134732295925427471150711613178",
                "298846063685700896495385029785878669677",
                "226376340000129074979170032933499473620",
                "4951751325613390008353497122104533230",
                "171639371467605787010243782207032710639",
                "140872875562787055464746771304550103944",
                "327024476219520067369511926298445517044",
                "125275273463627636596739900865862363007",
                "33862728124607187742011132505466595747",
                "309757413778907540373570483502022381472",
                "336531634196872637028316595095973117079",
                "63445789877676456823070424286871530579",
                "56524319564318787598908763015758204454",
                "224934549740779372636278934740385871699",
                "321851267187624988946784452262466753744",
                "36904335939800150697561621494138162777",
                "49408841699240558816716080043693056460",
                "103558106189908921883779255884235014119",
                "209504275062573540113156951497533466227",
                "330272434104947823213394878228816830429",
                "129010028402109919148880345476089539409",
                "219447768397489215966722140463200022195",
                "104751222985707941648239234601355662792",
                "281660211588419839992417017008141369153",
                "270520800798306817140977990981681829828",
                "304788139037188832067171284157848583405",
                "58310210248302838574855426572858279369",
                "120338571661411463373923994279545469127",
                "65523491071194756768078201269350016711",
                "310825894507592515016590974353246129261",
                "325124818790675985708684820162042211051",
                "224434039054807911560679253275556360992",
                "10973032682533242514232794111106693799",
                "35142985940455898005596619353573526966",
                "51267925519855943870940499062826384927",
                "246263482537487410139059384525295978258",
                "102413136404300640487573330949001212932",
                "32341426877515870923899885725245958925",
                "269052682203267690918490973248713698160",
                "20088009400359636656680510065828124570",
                "92126003350214921703020046381581928112",
                "315600694041811614498776376500698407137",
                "295994430064336118041369189690180163615",
                "146451250423177335672473707665702603443",
                "320636006039217789217255001893922854689",
                "77752193774951417848517515386773921502",
                "114012092788682021149153000062280393843",
                "314749466458041096827095511206595209459",
                "34065693459714289414988793028000492091",
                "47684942973003227053447410837114453523",
                "316403204180131860804927624449871184749",
                "73574214661624715042447110947023474606",
                "178533974879640712169726023466938529348",
                "29650265648666336860673124261065630096",
                "219990416943479760879310577217283879608",
                "4391928772199157697190148845741789812",
                "239148954315298432686249518860402422789",
                "333472555780953973861353419173248359717",
                "200657979110378340142477203345629431071",
                "283983010414420063425367681106008180446",
                "140145511419217548954203545977141051441",
                "303838232764790656057833053286793152433",
                "36673771185709450046944770034337115687",
                "254935612993931932303056256000268733814",
                "261834234559054795819396232982257531914",
                "12220350339662196987872067455219714747",
                "164795899394650121745178669528046409412",
                "128467441228541272367199496424691834005",
                "160836540853112579756572554378352312794",
                "179193427282652920336957350919727934181",
                "71246909583786799731047732518439096707",
                "204102359861231289777434976930914877393",
                "212995785243695653945453901690843699582",
                "179312895293524500755877564715882432815",
                "291897539000067460039975484015402185119",
                "305531283120547809688570843091863693322",
                "53664275069955276691007115769989110027",
                "126798868716894100405964440689479634181",
                "110311861188300879293286372074199368861",
                "104441027395095710504215069549223778549",
                "129406967543520950853816636748211859089",
                "94337103640644491837593394985456375986",
                "98183299030162219457816706611672166983",
                "331908447962490001775197149696782059810",
                "319080898855625217487881168029183444960",
                "72446890705614739246498691178557495749",
                "193317006277395289964728919950148021458",
                "328344545672379099367209574593564041238",
                "128093087928258685022703643223650513893",
                "50740518621284653187025946147242040726",
                "183079061550297309414746111315148401540",
                "36649635230571816457938102601408702414",
                "197928188636910830934764253484788432926",
                "174002376309039391590922488452758682364",
                "24565403529725642700762228731975004398",
                "273428675343056729346496794273878689355",
                "273630345163710118481031184893188632577",
                "261687168870969883653468672839437275773",
                "218009514226854954541182467918525002591",
                "202505477170828225073733456525741493494",
                "57982270998787873453533218547937416452",
                "66301831226613848237102042332322971640",
                "171329032860478770237750617636806941231",
                "213766970393042157041724045859490799186",
                "108127960617520702961013382158548277140",
                "155409382313018633895737980935778014858",
                "194362493729938137632861404846031732914",
                "173622719622742845993587189875024649877",
                "31333067482908951918005336834244656072",
                "189174691783449014272121335245806989454",
                "182719501339672057591540233313138534453",
                "122585899007102960007315608515340261654",
                "174146739209132645640960870081934393144",
                "47052519846714504496849396729324771097",
                "130468081250306652246842613903178095765",
                "74797586283961813787409145752781662436",
                "97083103859510714264191066297498040804",
                "227914832133673582824262583342245076506",
                "219513280763079011797426528222939917012",
                "149111616518002765156450833624541862132",
                "41531279915569790815994290452075717015",
                "297755634810875943376238200703240009314",
                "313768335825907187399781981139990673537",
                "42689539890084960441522482714761478358",
                "327350283871562845927763860163632658251",
                "286546708062597014009740558544185396077",
                "260373067609311128269512402838732630822",
                "80469335187712920292432500542061930231",
                "326618185285700199297942275945461724832",
                "248721729170715045763191469415475385483",
                "274057683645791437497631014666458965258",
                "294559792444542952342611088906771674828",
                "63622149485489128293544940214839973325",
                "275599807359245832890221568097381823467",
                "227020387089268301138561554345034660020",
                "124643952295331146848831765420886960568",
                "262532681133234769025639161828715791592",
                "184957858048388014423911922275941084537",
                "171629330877600842134913006585307452686",
                "247139418790247961349661847836331959085",
                "167481327973099786936307056180979957792",
                "101636463046606369685556641426610495496",
                "306148070521854590298859676959217370732",
                "44909263699055877449657089633959012885",
                "44493497285716730099096407884794418069",
                "330180278356192197482945729774496383898",
                "19732757535157418932167286836669654127",
                "166006669210687103455403589129334569672",
                "283511602319537427723385500920501491908",
                "327943162495075187252130367617631582421",
                "317161661305331328273635920879619887243",
                "121022124481839657360446459759635664176",
                "16355808078120731714317909810118413484",
                "58010545531700102484950866572038014866",
                "330373484115065268394147506683471901749",
                "233267452242639245244872815973954179965",
                "54317315131238479206011430560125610523",
                "63441846387475221764279043521943880397",
                "38553482927940019702707834188653911935",
                "189517291171964947022955060336612913659",
                "191028879648990008591696066200830117405",
                "121816829561957531942420645029223509955",
                "226617371016380528258497769252325752344",
                "155207927910706107086216350437736280936",
                "147286596075052677350958769936077727214",
                "316831286435843213951197619334959519224",
                "297346402681122235507710611769936809883",
                "312090435543438502606634647476931912386",
                "255079090128778871987312741996674269287",
                "323709478787553524383370700618803733043",
                "55515913421578509038449838116909406775",
                "14929073945806708305024747830181098163",
                "86898878357669465188961335642961551737",
                "223776149906862679456417103587740009692",
                "285365646122508765762619146442992340490",
                "188993661103308615816425664184823610114",
                "90720979597244095629771018233793470759",
                "237898945038791738337848135908422336845",
                "293530400173567168229286527471897255970",
                "263528135492340359560979583843259126614",
                "208328099072552618250160542472971972989",
                "49532197125527148968360872386086992747",
                "324237263972402553658651917556866975599",
                "179727041158882331121220088980232974638",
                "197339439311491617473874906467125043950",
                "225164477833686967419060867980930746544",
                "173901085545281979938241434363745868438",
                "85584751299645979646124673176704047944",
                "212059210809175805455915831350153354262",
                "212235431037798032913520330098356861833",
                "62676319387881198865087655431896770201",
                "213741172705966982962395748130018387797",
                "131631944610045177719409068324795619238",
                "207058773296642998450454085293248149350",
                "253511766301422159697482720200266874695",
                "30000894490586116034759604600827848602",
                "241728508365828085478804017569078295607",
                "88285612029854105138930133816256351360",
                "280905397554009998515353337439662077379",
                "86323001279030930051579276702950042416",
                "87956438238966829516526241827636763709",
                "215528006245336684523769154609087264736",
                "120556940653264827607450516997685074403",
                "119373499839802403599324696148597047979",
                "185824106293736270136669222335780089582",
                "25691953607753998420839177483678363553",
                "314729858234986903689499562143265411675",
                "334734844905397006899794687886690753785",
                "61631390832820035331174875948155415219",
                "264583985947495995169420011771693699946",
                "32897441970172865699549251526341042658",
                "36432275581944008371911940710929369977",
                "338402829486932521537354527342954198703",
                "204910225087937201946420412301865144779",
                "289394359816234326558069832938454071525",
                "321428031876169600280959222073025201368",
                "43602535733116157333864443319757687095",
                "202740635685353058458406379510050398733",
                "296134986887639878513892122931830446575",
                "237686488250038634478368032940586809238",
                "190069882999925712046592649874193740619",
                "140412801148163167907212893052676212357",
                "211400475993442810924904570561896364029",
                "210371625774094905164602917321281330131",
                "223781087505633052567550769100770587754",
                "257862406495183827564553020563736540974",
                "155739558426829100428701087234774170156",
                "195539702004468609437576971467270951785",
                "91214321298136686054161097622847156594",
                "49583502921246661118160883973320690392",
                "104008126361664807804006221095328256516",
                "208158014334141644541628070425450993864",
                "332678074729132669387601573642371697919",
                "46868871283317811064175392374187650485",
                "59466439486826929864426980669042075754",
                "109320980699849112603558438801316948745",
                "103662626612675431080237027176494827454",
                "206934006611432094953641284699072698504",
                "199059440930681138717143296197840917596",
                "53104734884096451398393196626872315351",
                "188220123175421504258433052127351676864",
                "220137961576093431994831317033544039214",
                "285208150060513139479469215759802105346",
                "322767091134045973466207304795950259136",
                "300237126246657960224658247256854831423",
                "233908001973048697246884296083543116244",
                "283741050496022828426984944439862726100",
                "199738211155036809050052024621490562514",
                "13404793797861035890312680523243699534",
                "228007563027931414441235811757291694226",
                "196661400119284170625036786482753226579",
                "325592797628718361401349823681377857472",
                "96166958611194203547328488695101143611",
                "133101356885373602396093379700872241669",
                "123097268373031719489532373916793901765",
                "236790636290333108001374112674485196808",
                "260653981650019889866527044651430692823",
                "267971231704965567502254086566931654330",
                "235138097089844198738671809762077601797",
                "212624637539829101323323396287067920735",
                "71818900077882305661334217674508984175",
                "205327910707417629573905368095387061996",
                "126450386874566327684916716479148864236",
                "102242677772414934438520328702883871708",
                "40990026591050993762705666449168108343",
                "220401806910143768309072502361207496050",
                "24347910587946373255179706243410820345",
                "271450515613378642094240953678411819404",
                "182195122923058193302578026956370257497",
                "210454782871731943263912442819843770443",
                "26667479912008792348863391007855642896",
                "129964265604681961460410983488392090753",
                "71638252661282566871603517111603286702",
                "80437627178563658009387241196327363373",
                "126055987881907353482842214347314124203",
                "192509775431763634721646626530114333860",
                "174871328102812480114284191824009759271",
                "59956917694192791139414006344500867531",
                "84572956474206815866633785899788225530",
                "166526940509629336504787375486454869992",
                "113853057565957399812773382148658576574",
                "125947051741846208638308706698959166420",
                "275511301304246218726482316618304597349",
                "232578841475096206316120659835362044048",
                "155604169158824123261406745338998457385",
                "67067620894948909697617375237797415245",
                "175412799380288962866546819801694407178",
                "304624100895644841688327659418690166768",
                "24561484379191576769536658788022686086",
                "73331680632035617130163164547227606820",
                "296354671124926363759968389177449739576",
                "331291902211258807851290746299554828573",
                "101130159170531644702764444647498581167",
                "126720876465206978498829832745093594230",
                "117597286919000270388293011546580480828",
                "98453598874644459884732474668370789009",
                "140478345191792307435935813375336344888",
                "330409959245724522992630798009689676",
                "322208171785581504501927304438231473094",
                "155213168209363150611637628612926008392",
                "225252706951524721825977932211574171505",
                "62030104166670126803976982253987891711",
                "339702097524895551387007836241500495052",
                "263349993686400891733896166663868429304",
                "312213170303935520113706580060134335523",
                "292951620858010635423703841511009609484",
                "9979818412499088943134883751623353043",
                "46905687502627527224703343817342353214",
                "336991009271274973729156470812076495011",
                "309504267524923246331051359690482197606",
                "186926954154943089320111892980678342176",
                "158152755519344943671838948482660280629",
                "160489114155891291561653735235924421913",
                "335567740016611379447444725435416741044",
                "135203578846463133255365615735215648645",
                "183061738582825287176296157055892134503",
                "332631417096521655219592619288161433065",
                "164287738531030557189482569741289695772",
                "240047616042627199011653925229771058017",
                "99764465201158158455774434941477734043",
                "141860748772868860459578209800611612680",
                "244893346993003147281979071444175280291",
                "175661135020156842307567084538672787307",
                "325982872062104621288785076470658430859",
                "192930612093171864772647925786619453765",
                "133531608650068060366947337551880407564",
                "174641388436909218255191879922045589831",
                "75345725281531464762754639273406879012",
                "53773324449482286969251978591958176816",
                "115799853054465158630694134469382485215",
                "134482676542564367384685706561205462417",
                "2017335770368041068657012366613766574",
                "325968580294401592222950063610601790663",
                "219936032760192783761175036614121261044",
                "147157861081018158847993177396227455938",
                "148421199583487173524431166058259457206",
                "269867126909773486444687677800724619313",
                "327307589108610651533795061863132957524",
                "72702205011129513876796564645565841317",
                "48790225374297628596870637660175256053",
                "142907219459213804536692271579203112249",
                "12920353058861390405969654415404328508",
                "95804793286056976172622772210562695988",
                "210724401917878850346208039480704696889",
                "139596296068953869628958247895709442158",
                "49152155468865267027959005795158031531",
                "319869086054307538247223905796616556805",
                "118579247489501370734846002213574748698",
                "142919171391434385717326834797662894825",
                "148292849918928849400462823020113228570",
                "239551868000614207538148666344460189605",
                "303754572156363540790696536201434653946",
                "312473990158133468741987250975552981690",
                "42357597836566741065672680624198516556",
                "335346557724956575318450413251075271648",
                "182781725932500523767934382894474606371",
                "232994707093886364788291026697425054487",
                "232757907590662012123954152950441172619",
                "290068417689935177408843678890765887090",
                "274426460373289529470017086593134208269",
                "238027060332225274476017595998620181726",
                "295885105474362933523588125206619188551",
                "198086757287317668342107919028409475379",
                "233785152753059734605654004647869536143",
                "231671152413571928306771748103826937275",
                "94271997567252967045066695667088636496",
                "81794426220867504241417383706269590968",
                "207158016761036327481795936072475960136",
                "44129111951380711841194611674263549880",
                "68809525484431974368258986372468249191",
                "313586330735124361083749964070805410148",
                "264662307124991482631186833963622269482",
                "28165250156732005960304067413238319536",
                "94649653604780387606962177163885855769",
                "339321889877178326394403709654517809241",
                "181105852723866951369720767990219152488",
                "327723429983333538629257932582777606627",
                "66456940956670443216918747057230025555",
                "305489795425965179092030449380181986592",
                "236325633787683331342521013635087528877",
                "239066584456443121332344662509063771",
                "191122907033242758686626972173359586151",
                "3989933224439630136404634299402203308",
                "194371481866608989961492507769343151096",
                "48917598504799854016772646711374027643",
                "237491205631526047488665221890911416749",
                "104151510741235067240685224554141765939",
                "279462016778960418729890794073424357459",
                "234098820862509932300490052153112548054",
                "119202723093828934218972757092657662062",
                "189097710306091564927476815591980974688",
                "65824585135214437336478087193702944257",
                "152296956752405992724524512778007719457",
                "173981533166952943176046950051213856409",
                "288506039658483038414538553644882244719",
                "94605015907482807850732911656025781576",
                "70702923903856320071008248260918350925",
                "239314161232190563000771085178625504566",
                "263920684301624672748694620560422556805",
                "142955476131227497698457401821567939820",
                "22546106383828160105284964628805290731",
                "330785721248812262882468748010861565697",
                "190050030963610910259510395242313421857",
                "55094684638619817905048257536799654989",
                "253243018969772189437632557614401662724",
                "97942808043400958785332957130026254814",
                "50107810583900295917807933475097606227",
                "175915737563925587976081575970650205694",
                "73408874752013422493211750500829594333",
                "176386320655293999304141910240153027783",
                "77398956182183735671905551893134525917",
                "337545123088606863104194465250930574995",
                "111510457767956282767597947094118039883",
                "199135169367548024685197965809150812244",
                "210976256605196334294863235131900596320",
                "181216002994420765487882645721890619568",
                "277585794712517554816182820809086476414",
                "204600268381736518211668726351482475181",
                "289596490288410221757584780675068698031",
                "63689731148517876235070585843344670386",
                "179927340477509245219921536424274280081",
                "278003465352388663714936762801323508680",
                "271045132461797122115720059790521505237",
                "197505816834478759575226333813658639769",
                "220526971800534435467667276136072273235",
                "28921417935237097167699635599366686236",
                "56035763133617912802613116222291447950",
                "45643172536166556910450911499855026923",
                "99917184262991258748210434374034913151",
                "237792240705273165767103801973185772865",
                "234224925778576029966166699612456934545",
                "192395804597388066584963154310787918199",
                "106248092181962927966824423446163425774",
                "184824675228303141014202590301186614747",
                "324751481707770256039900508562941321711",
                "500573742734811925876452489888928946",
                "8949469970104660195128961344671299103",
                "269843786311665118514409639164007924933",
                "263823411508576369845355630924853530829",
                "171608280250628305409038655707867955692",
                "126499463641076604571355160401628971531",
                "217941301399968872905900307301627508538",
                "214135499584695373102842937419467853241",
                "130752495385648167920230612677090890152",
                "175231615192046599673459547844012499566",
                "279623871979014975194226726596408252319",
                "69533695016293803642996338393095345058",
                "102471296832222019481145868821448739373",
                "15935066474754128527077112132294620004",
                "200516323852868203811892546301695031509",
                "279550758751848407855163825642232522755",
                "134857278829120192044324992542002247314",
                "327884972748356210115162765067022743022",
                "271742300713411512896318979851158054972",
                "212278749549706895778240412261169260171",
                "306128623667420730861045155694585316220",
                "108854601222474751176723984481814451773",
                "134870475219780693111890034502599670869",
                "252588705016388613346256514063415609600",
                "169470757598149868833366821547310909936",
                "92296333989330834013896711195366680299",
                "325314222223198736625105148045119670106",
                "122080074880210240822377087394811408265",
                "147744578703766607279683622662821540444",
                "158636659370817841037120473706114912205",
                "273431038237863284121461659342757073134",
                "303787617275825018414848316684832249812",
                "148352449170160283388993987118505827939",
                "147438774124719085883353115538838329928",
                "126352066170938225882579119989566436478",
                "276560304700681660487810949096008832027",
                "79619611081551636098952425358763394636",
                "274970487250204189714488842640554910399",
                "188214805634574676350861950028144064035",
                "95372871902563358755169281049200692454",
                "41957913178900052473642419668017206484",
                "44284187181467876380550402303489336792",
                "127375116945947889502065289762219168923",
                "73219883728176633546237928888573630609",
                "66994034942173513209178603042141812634",
                "142112442366789162102991708688458778539",
                "276327081752313354729519914967984352987",
                "318523259439782874752001897654182872970",
                "96052674219957580109338056205724334368",
                "86064698826246707671513369727927676719",
                "199632227896469308484519415834706483694",
                "215186938791428383966485352864684143798",
                "82787901201277967253290829814400865868",
                "205518407172441074749264077828543068908",
                "256413551712201679939503816008455240041",
                "202193428575004008923181356387890664780",
                "286347839110572343548179556207894848480",
                "96810161645580259928565590479028676186",
                "252773614910629998774887760833515017336",
                "17439954397219053405204592727442409461",
                "164907393712974372030357859548328632735",
                "148160074288431721538353212814306808682",
                "294359490018840968319152680148415683594",
                "69648913728991942142470066092100726076",
                "195668313222047383586876789854654351840",
                "92388786156018831523937461762999328978",
                "59495570422063559338059209786451032482",
                "147186073388564618901614104603051088370",
                "9814786983952867952717814751093718856",
                "107703664941582202556242010561639248294",
                "225834882989183034247010099454343397405",
                "166569047933443371082392941686826762928",
                "152187806012914448055687296293018559315",
                "274953265939542553482942556809346278129",
                "68002169885223640294135449472168070588",
                "235237903459945881907496774104031154101",
                "112614815737428788070756555056552002021",
                "216606633918015049954722179743850368104",
                "252084143991186868692566894304448199308",
                "98792160216428277498426206727995368521",
                "338492882164237954679030012754476329247",
                "196115299543523967214162782807091019107",
                "36132634611972923906019710353812700421",
                "15886522221112918382276144112950327228",
                "9791359250749053002387036974752072711",
                "25503649871715405108110259642907985519",
                "268501526051609417881078288399068500466",
                "192678811519346684216232506645594717097",
                "118017893710383828175256427698048754028",
                "94151973643312964798787078752219664024",
                "182970709546317015385523036469462919871",
                "261028976478913722754088942930767861568",
                "261953208145280011881417764099558857101",
                "70820824848564577941328382669788980055",
                "302371282791856311926529131709081949610",
                "230922698240087782772183009388494752143",
                "338478620597910420709959580993793391434",
                "275922393881580098546759932003221706007",
                "223516368637036044639143766847889935302",
                "26574378581497132158717919692018721181",
                "251714171791110156781379066616193626558",
                "270435749382256470773517620903167627940",
                "322781905100194031490607442554839086294",
                "203079125227806421802672275719616330698",
                "300169365877281041820805336672285530587",
                "5203883965321492914298292709021358069",
                "306923173447233604447194656621937247050",
                "241190722094289130692657338234025276917",
                "164977528213884631056760615208598552763",
                "205710141024273085665650709920621830414",
                "123303574533612914862328844482992835949",
                "115277691939905616802461293775972524421",
                "75043328398661760365051035396367185550",
                "228062222602352796395463943979752371466",
                "317030678678537724332424701941049044578",
                "207918357066028301762559912978331593965",
                "136280863142353110940295998812483212269",
                "123725408328940333950900691627080192177",
                "85686226929538537053375930979861471456",
                "251968699382046359493077696931418333665",
                "227371868014790111197930752714918076062",
                "55128645744043931868549595422129057585",
                "192018873635856200265572695485972544681",
                "180302869438992807883763444264891321608",
                "294285427435008823085167981410508149418",
                "176901557378662723768134471535221553642",
                "249829939505406258124634798354733497642",
                "91247714478204683559849076104029492529",
                "4745134883380097861500853336872743271",
                "158195185784727419667731229205249511472",
                "248302967271405635516986522886833894772",
                "143425944243889720320177044617126547526",
                "58342919780717434895370387347753350303",
                "220199247088794408438017805965707630921",
                "7436294489218010386236723602214772104",
                "102275596394649526713429462340752166173",
                "269623753671282389272273194490060294924",
                "31638776799636046364354053968958434265",
                "306426561548374217239596771482078304597",
                "300379858342458459001081140048910936416",
                "163375951892637340203321681585142819446",
                "297238247260512922365168159570701350843",
                "50045676044365244441262746338442936530",
                "316374327486167486982237374731102270096",
                "119082162958381719390401067310157611205",
                "148449402000796379797633463745207899742",
                "273302516771058924089271659441515011346",
                "230887469828568082145557397006969657369",
                "38807209970971338449320765008289398675",
                "174161843867302765732291297027422036632",
                "329373855693494204267688897406989038320",
                "178399930259268098483140992241071160767",
                "159886117949947150764166892625602183677",
                "62880166382576404529812210755351464177",
                "277278409326198820421301662715313440073",
                "147634869789407352750912255235163367334",
                "42053244042958297715583243656861536971",
                "322780304487645414542659877720967011576",
                "267236503941820239585167135181109716205",
                "293753367159538713006526604354393049063",
                "305775857738563873087088580455523053419",
                "79658803066662867778936308130647900425",
                "196966087679902258625600747286795175233",
                "62203697295182267874948500534054032657",
                "270428963640777524128121958468930536693",
                "114838817789309890371143568138974917084",
                "177192383031565081436987600302133088361",
                "59559604425307861236423907564584147045",
                "327280657562730834760020107092749049439",
                "171793485945821504775040346232198781521",
                "142371401607711171865635456051239086960",
                "121120112492023044094539965619290633325",
                "307276198255702202230624074560199991448",
                "84347947157513370603910285864820476217",
                "12099566430149489325229648155661489361",
                "299260409163396841162257765027632142327",
                "293963913932742445133229351424902616169",
                "199769182110865228521834964504506955576",
                "85917381058945791928270447898209418408",
                "293138604446223285280154384159612899716",
                "201095430480635516154198204856209528419",
                "132004208949327987046755879399312922964",
                "185328555253416834503589305461972821539",
                "320887516734409987666695677051551179526",
                "66773534000739118199670865919135306128",
                "116189929845750320823701008884785361309",
                "199347424373122895538546742411371943825",
                "138709687351760718945156402491060316864",
                "105127577484642849975128903657902909863",
                "206880445705476887045870289593485652887",
                "119124224799933966218709900741937152817",
                "195006521442258441189941806496725856392",
                "237229892667839902135817731639483322004",
                "146977932403340485398034438795303568858",
                "173390167579232250415223461736371004716",
                "225373570590284055627317904471664718368",
                "40398045134378450084902617829681535422",
                "310670623407414891836509059201367818826",
                "114772094365162685102559801873399133300",
                "44931826558408682214593295719516333558",
                "18223891850165693708556192811405397869",
                "54383794902089297639244905982264523479",
                "123401970657776914454994990097088939978",
                "9595279123983670661692848808164857715",
                "243557697233772144388253473824617925819",
                "324719362642720462814104599091018936614",
                "82935652235568013574091872698132752090",
                "167072648341005376649524020807548883284",
                "183805588234376616581393444834790711193",
                "105580239011782968556111704262003927195",
                "339283026392585629146053308904956149210",
                "304480551596467336792661174747928556635",
                "117962691642269919413849766491724415031",
                "103810219837924785340051240475854068248",
                "185427408159853881558681644360070989304",
                "178258242619994510452732482606035332561",
                "275117368834045795785220553379475156061",
                "71082674674738988871082772964731127021",
                "1717933518275209463373639845583214201",
                "65392486503061721447584797800198822873",
                "308738635276500421125978208660503170300",
                "182693707790205470523267658532564626309",
                "76462358080464218624547721106383966489",
                "68660591022606648715682890044058631927",
                "78250199365767698206231826953641453653",
                "335028964386283112010432310496076794631",
                "182656636466087910876631221798545788267",
                "296327210493468613507863680621956070373",
                "19348367245624869878197068453255848034",
                "9901022196497917953513111998536549045",
                "306141205354876226422592742155750316938",
                "4379335494939357947516114678675758283",
                "18587267295565045077200561994796295638",
                "182645802639518841257173509517179367832",
                "60492927767922938461601567942724655635",
                "264799218365326812565308049097471988781",
                "252565137835122553058418738329094350272",
                "168027794692653250228887424805825860893",
                "67027109225140073857987272103912387535",
                "123151504561357339813586198313951210456",
                "94678713531237260774166306056098485869",
                "213764275260702612171694526449673755530",
                "67130032746039980811925863009077570125",
                "324028534364144216426418120559109132707",
                "58557263234765798692575471543925936670",
                "143155177337328886100490420576777338522",
                "22657649369595806070928453003853484524",
                "232461232684360967823617780429949028847",
                "60312586384110078032362925941473139946",
                "227661003014550196683269945777978591991",
                "30348058476818991536759956108753326306",
                "139512182918251793971755526658685944987",
                "338037947638134260656001781436569515467",
                "184881408202422794694945161670092479412",
                "65489525574864734613139849464811072540",
                "36107703787933735274211872106899488324",
                "327720476094234962159083042052746676306",
                "19355170366779994605993923479412178531",
                "47865949454732264759429789191489598228",
                "199057613580227961862060936038113447487",
                "96621859504708307943803371904197438221",
                "88015603487438000499582136002337110370",
                "33130145121057460837351256633323432138",
                "267125627713616934786120876970392784628",
                "189756354725410533212108627072654732068",
                "66576793393268141426502927315182836557",
                "227748232205062929574336553980255104851",
                "3706312365690979754863186591982636820",
                "253531988624658456637498001634333889629",
                "170796395146818717927860893328944473791",
                "21044050949472921346761488559424044946",
                "215788826276117716761032154349476049207",
                "277009998258376314224028953369530104473",
                "123923532106171647765012381669899128766",
                "310458559410522273368038652768711027120",
                "300354116124433943788338102731430293726",
                "251785129592014649321973142238886279962",
                "62749045137405539914073989595648283396",
                "239034070245564996961440855941295490879",
                "62661714737739096983363165416299421687",
                "196219631529151101829915161145796891279",
                "93590637054343301238784590008473846219",
                "192785039578909203292219337901730451889",
                "177420901033199477044428697224138895201",
                "300306632596842871200285165202283132630",
                "29279671785124472166695407745791954952",
                "130962419275110300948783390546111291811",
                "324421183539844565005656720979034326659",
                "184327896048105880892386684145813657247",
                "90966096203194476102379476772248486536",
                "12541311195233790696739808064119848613",
                "79738457629501317827200625215276912864",
                "327354852466087490696742515478455695896",
                "55628380366425230537370121197994089001",
                "126425771056294264414131924924453288999",
                "13286908220752404154096120385439030134",
                "32562278631065494932434953930550949836",
                "155049945476492115901054948065139726963",
                "155030458226342360371134646728885599833",
                "227636079872324941280268221887714981450",
                "102048983013374631562639413350760547078",
                "213660681029070909709806216241297384799",
                "307471223899665920843621773183020569533",
                "110840694468206243757205240712973655688",
                "143010138631145690515167380849244047273",
                "283768272775336133233706470558540249805",
                "133460972111304301072416580087049388357",
                "174932368393452613884087257018957017150",
                "173232277921551554558486319899877032730",
                "100301813275580143529205135928456331601",
                "117318572058469390304993347170512104232",
                "260884079645159490006919018056555723765",
                "335512896432497074038171839161349635043",
                "304056147445248324628366388995645681919",
                "254348839963950144372609408676638136610",
                "300949413003393738464927146836734812112",
                "314302676414165533142582434708613441588",
                "130655962485613313516070220206834501506",
                "47846518775863581649605045046359227448",
                "152592583429772255332773232983321132929",
                "177737755782292500040500584171013479729",
                "324286379638050334061476805770996039102",
                "77629372860700577394373480795410753142",
                "124180095904414668595659122235303104202",
                "60258746729255107818577891948317307423",
                "92446206566075959733125284540970903543",
                "168305251242245961069156450791187871026",
                "84019749225217813011513563922591750583",
                "185078895369639932457012946697433162166",
                "246901327546379429161312198166962805616",
                "130200940204023001900120603961072209554",
                "134846775776166089476160701758295779837",
                "320169552809924820557348626644899745803",
                "320831179022728533919542740511540481324",
                "314875018515039649122443631510019297434",
                "250130280374205086453888478078239496714",
                "211712461326675676932735069363745228058",
                "106915739928900919198810379946189864651",
                "337554125146736369792656518248016663458",
                "207044973436451085499817938254161347273",
                "321253604457609021584508724449310920660",
                "88938500445836047841170750930045773915",
                "27134864979288579075549408420898030944",
                "244298374947052925235574818440180962590",
                "302550240759070320315944365025873248768",
                "158087441668324346971496503197772354321",
                "195877351491793359833413054430412492858",
                "136326012997088113282698341554240199282",
                "252251480925062078516719086151245611321",
                "169096168481127492147550520838757281511",
                "268177037542791516458493367904337938519",
                "48401546137321727701987305038003689428",
                "187865416860808788595216784861474871455",
                "962796638702212806675204687110831627",
                "18374911362859316865702372846921250808",
                "298580053629867591281180211793926622680",
                "99879614301998487548252080376404776524",
                "204049071994634956038412894239693119746",
                "225173518695959050794629605171615208444",
                "94322948433561048049450744373644732832",
                "290689504004813640279764972223525814270",
                "223569760457119351170702507888202793317",
                "316082829081004140884777968887183165171",
                "334373394925673045283551624973793811918",
                "85880014813258351879513873633522577360",
                "24116759506511202708468876404953692493",
                "31958652850344415067795527343409135507",
                "82916792367115814860782693373257765484",
                "204954454926815501020535923866688695384",
                "55842155122939856787636566581175711793",
                "290898974021241494819464787821646179020",
                "246932900556104417168032715574533539075",
                "303784138790150367051597733024110822635",
                "2188474443971200060707721048467504313",
                "106379297767775307599107848717891651903",
                "15891263899515666719970687205476919509",
                "114755997015536683304706279050225915325",
                "321580313916346041224276584308686009575",
                "164588819339516258676068820105238804031",
                "101855378631143442512364673730903585614",
                "97796692207391167422000513045754172433",
                "260637415908408870731772324343493257128",
                "234557681071659612336429565757088431060",
                "181841875803844390905824003615687577380",
                "219530606129185876994860194396718965150",
                "45259771913459710719249162672905145725",
                "119114531716925681577369354937917506623",
                "264267743885058629380169344115257475805",
                "93860477717753687281165877182758654347",
                "239338607905302498769559057170930868431",
                "304923159965533585550982390702316688438",
                "243424890454874643859620340512702493378",
                "148887090818718935672270495463396385223",
                "331535306413123278743472280694877402341",
                "193597169848910785669088129862499842480",
                "93087136842469410532126458282315828224",
                "72059392618540302643106364315279137251",
                "119593026543692267962054475583698597597",
                "236522839182611351102963253889173698966",
                "153904928519588585652826637053239008055",
                "9686757670446953714312616441988894864",
                "243807226586873113452678843627895975939",
                "66386367858192613421486113885469280822",
                "62565540793428483808333313232002594316",
                "37206330393004822581050215800008448032",
                "284770551887251199072792609269424872973",
                "69116206295338546857450416520054091518",
                "3628768726552981665289189923819067543",
                "103290574239092805432918642689242589584",
                "248722485312765419991976906573924276798",
                "279425079681338171243283447941026980864",
                "163863126187854093993060642503752291331",
                "304333172344146538346526304952314595285",
                "321144999354315687065578092925168042191",
                "322880478874509797534925754661113208660",
                "128598630000996083745435004353974730909",
                "37674676890919321614003854543962715003",
                "81588435215950842238946551389479973527",
                "31028613348607264249614943685279337156",
                "55715264948135135366965512883113579239",
                "169161672373752208614387537743817007230",
                "25414206151660019954537562023823327372",
                "311662737468736339237810301479188052454",
                "265336879501437658543514605004109473377",
                "202190628479710576089183657583619057511",
                "178577399891546197257948672156745877694",
                "166185948459901331329415779782701584568",
                "37852616341170291766791231633039178212",
                "258431093683300167694423883041759228879",
                "204230972614463268825273378466371366090",
                "215379930589710045215292450826887367853",
                "83250726497986970816961360180369432289",
                "56942186730473531579177054633269195498",
                "116944474248126819473978174643590685912",
                "220983743290999121634802594153231301828",
                "317398351258822090994033001329272841000",
                "292859995272009060541200674589280467755",
                "53449135209926343164302706555450327857",
                "189183012041741043088335782258327773581",
                "295868602118571189576001860766529182766",
                "229210475759717319133638638021911054378",
                "157077495254644714962943671191814797926",
                "18771639008163395721669379484214137587",
                "320617136952768269353317787369809365119",
                "58654981574611842110119811912534562619",
                "245632866697420528834172768711986143163",
                "72639260323306859382241498884015334132",
                "202008631304734461322026524753368665669",
                "226678416954165544469601177152165574929",
                "5369853660614221003362840541206025381",
                "250773707241703547385147509938818846570",
                "241528289725353112758930181289427901482",
                "227383336630665647122095333405834583693",
                "268196981107126900929836430081950984827",
                "253566002771811426310216529674566500194",
                "219860445721349364129034002400197970561",
                "301168946170433896504250661204150303292",
                "154649970156982767798577564868254107196",
                "112715885825847282013107522826680123902",
                "191550470339706941939800585292883137366",
                "314210177462808684998021351468983377171",
                "243172380574956677099953061886437700385",
                "291845123144532224539035505601759811465",
                "260411021431788691071587938249838787040",
                "36357410253773987051313386118286377881",
                "76160204214705658062982926707298022750",
                "81699958076617598761248159111562542518",
                "27206066046604105055138625516520814350",
                "269686468850739707505609711438074056879",
                "169642379484051789182438119704181822054",
                "46155256478702887274703734519689429750",
                "134493399240922729863761323209894304470",
                "316290063999468958815636076858296387203",
                "262267855774369556678439819562776890828",
                "193653576037258607833788812344861002535",
                "172722214913132764484435245589144765775",
                "319548763409148472507587773856148696295",
                "139195095460354078835283219641953197290",
                "278417875092177267338683846807412713879",
                "43736416267451289296784060383673812831",
                "259076128946501109410681613776291016933",
                "130436808673425706784714232509939657667",
                "220140662251735504462576228264172726380",
                "185622509387928212255682714172155536926",
                "245209714443938276855760065254331170975",
                "162766698355635025679308829098182475369",
                "94733198435540497413194357685244393655",
                "296721181561295105786575589898251446350",
                "241323238450338984441992337665584537434",
                "282983182717959672281877661308065249188",
                "107672444523897426378370371124441327121",
                "314948158865786494240213659385858163741",
                "61757111466663401334956243176856492941",
                "25074291455618486884662561545029444324",
                "8102781767299301256359872476299638390",
                "325185124604825016345156639701132832756",
                "254540800144471560185626215391056441343",
                "256686484622757593913203700193406645379",
                "77539954156805051210380947258189968379",
                "225077307781240396432819212495924039049",
                "273890486164114389406526885102809799670",
                "210764166115643974281130759636064982514",
                "86573433501313789021110834322329830276",
                "115374645054154042729433615628965454441",
                "56123840310799373538267620902539301191",
                "37533174960147629939381832904743674514",
                "117080738558516815739614821726967876816",
                "334847868659580426029347520018870855939",
                "69110170368920868726835452799818056443",
                "181706101529939570292086175179809611304",
                "9209880382076766776080137435018473929",
                "22145942787219538584066507460670366466",
                "239978288956967446103396014697836334311",
                "245114447735032545503360767279457852579",
                "37378181268770475013723371086902485771",
                "35243178802050778672916200162428996120",
                "32463972697578279128685905959221309539",
                "191250088991027942327247482918654314092",
                "338818058936065411024582715917102720045",
                "277913432128396401749638280453510095703",
                "117927961571660408485890189922330485635",
                "325067088766197767441988690903076174257",
                "203071377561124632699179969786693176268",
                "30602833728023896091331886428709986464",
                "217876580499094726787270741346746263893",
                "7544726596157458790042843463927337028",
                "316001092175581915304237595650476346206",
                "93035494088531955308755230359346047804",
                "193159360622716061266089335370257082554",
                "231514491743224475430832908062351198643",
                "187083253367357973260261849453464391816",
                "131307654517195745682730303316246958153",
                "151467238740099820456954046111455161340",
                "72935250956540859765982613827247169497",
                "29332340290529377876874283866914788114",
                "13355509482178451379872275538657843076",
                "115114708127701265965486501157098139648",
                "123817076108196637873644560191922146264",
                "111418358103512332906320498005191476706",
                "1993943642598233932778717100384517978",
                "254158133957737398844466564984141274891",
                "108854462739378024840556349401714753519",
                "232786129521598234249104532561845815288",
                "47759931855315640194137285532917162967",
                "61456201124763015355573939903413523984",
                "323608894698211726860105181908054303587",
                "224629528493714100029976290800138701906",
                "11360316258389130497910465176484819896",
                "234612288940548930796511705285167413132",
                "193735281230875857232412168035647236248",
                "87084394479655243973447657287923287554",
                "34088926196002768741017622020117347285",
                "217594898515761695126462631321222738423",
                "274201648339057567818361043778596196673",
                "73269854952460549146568722074561893745",
                "190234007570450190677749994156960605743",
                "31515578279737362624374948835145232993",
                "253014121300615602057944986545840656588",
                "150495040660113951683954215457976136689",
                "73191432477940791975811794360321326887",
                "9247414682840678944074236236898338182",
                "298384416192097306224720603526501861504",
                "183293049522095891548146351910081750975",
                "55356377854274372054874470066668554013",
                "168949968661600332766010574415314509921",
                "244051277867992602442588670725230254949",
                "25856708608619187829702248518324333277",
                "126226839354233475950123048507562701714",
                "169805564238405516203427449101562425475",
                "99965868818611135167288745057586621678",
                "218694380465446572422440538560214053304",
                "257302287788105653958187241671649994695",
                "30031615153563559033501048086118904077",
                "314511612663587827737376396914896134529",
                "161913032279036442513889328027396044672",
                "77145896557039943141989087947704905007",
                "207423340726559028003715134050758127340",
                "44933634695909784614561380434332228919",
                "213363605348295615151609144931547888163",
                "144399156243776366420015402071388143513",
                "197408911276709233803169629890821054411",
                "311479712239063572715894774336309277708",
                "143411442719020055468579399036988338246",
                "235855472111289894195520895230228512139",
                "292676549863104486281004800947916183359",
                "108449945254295506738681702181572615823",
                "292433860127370154963310293721062216575",
                "189356001447384616418078880047619907013",
                "259303536378121245027628826294403833232",
                "44865032175092169677103966583427754948",
                "24868449941165260647642242699088406537",
                "22205957210540882068555167411665733863",
                "54325803814408313806712094596431175799",
                "27944929202135441900401583177845547746",
                "151089881055018953978220261701225281723",
                "251188595938584296710971181713086986165",
                "149859272670496499323641943832320967524",
                "251596219993331312330853770592175462437",
                "253073123509920899646924714992075748140",
                "253944742109581381516770528676038813701",
                "156354557114025021540851431332319783956",
                "247646939552403450375897225130301704851",
                "113643836513641570725024907508284593001",
                "278451460979496173520278508749337869707",
                "145506692600850808118301127532137112431",
                "71934562033687599724082284626954111124",
                "235402183993316805293823350417097628475",
                "272609773021526512578307032597516924605",
                "301100953249748064347020635762774355346",
                "286034249945170042909421199764752161064",
                "24847582553048697974539788917506392026",
                "56353212252275567886920959257040911348",
                "337444992032640330001266270563089827882",
                "230574808750814926966816245001656490173",
                "149882376868821861893581336470289798145",
                "245482303204257309974115198622683134532",
                "229019924069264093575059657652250682997",
                "22332980009993407193122908438651784326",
                "96514763746163246150872478945800117819",
                "203707439904423158842773411131498760015",
                "271873536553759451412670834821792834003",
                "310246285451056497895692045683398791979",
                "14826474070663747089403589916192133085",
                "217634620343121661062652264774407317196",
                "148060982954554319421191395506874077257",
                "245969691990084735137201512958165057877",
                "109443895639382159856170098004924400737",
                "109186001753834813821225173164439214851",
                "177819548420564262038338924584689945481",
                "86737146544032029846682283394015908614",
                "34994151601304364129397821251850336200",
                "93137326051106578710281833381194902559",
                "279296204675804896359504126438218416426",
                "280037637781498688655973023453515346176",
                "264010592183353950072566498088023712244",
                "123435223596753870231649019398082219398",
                "167685561559494859747116992181935498104",
                "249185728727237092677683688048543685255",
                "301946856601375767603911307725695071461",
                "144634731470947804288152074165735156686",
                "315524561502364891893683106213025797766",
                "126811530150170715239875249314626415663",
                "287840170993134624222997893722765454560",
                "115971227430518638940721909737589287316",
                "98421450197676133415684166170856678810",
                "51069949259455302518483972970911405635",
                "286751477110564889673337319744462059084",
                "216922796201154387242758100267670278290",
                "264217527957632536939532380581489486493",
                "162311935447208701717940607794693564875",
                "278528023109660550927387558148837780090",
                "16718585325843684346991614745381841316",
                "16688702196156562629328347604859116326",
                "115051943038009961573732918370348957854",
                "257402297489763127066745634197276305828",
                "263150544520559822437331685346083673879",
                "156803058417620957220458431743888546845",
                "333213526117182303872123911988243171119",
                "145830746617685308459194273446488286005",
                "230835800666216334030811661205081830731",
                "78178185328186835023714977129542514416",
                "133000228499012044849681220245238426434",
                "62272275117752115111069008281367162638",
                "237614493134819604062277345567931945655",
                "241077508217531283806144154149746082990",
                "153581869416478724539145967825549260910",
                "187314698899035471172151984053218145591",
                "8829603325057524780871481750259846851",
                "65940330321939345182504853223105893040",
                "317256938020024548741190697677026027082",
                "292947361285016987532052644304333246887",
                "142248174070654940980839573583507187500",
                "266839376191270647438870936733915133979",
                "136883905581163955684548287207138014660",
                "261533885724176399847727949354136107589",
                "187532576374526036601925273633445511703",
                "253109938171887337317035763413300201236",
                "108161946951844960522127254722407788928",
                "102771877422035605171116468723020684067",
                "297196530227404411559265954673648592716",
                "67538169835726308628760884123423747493",
                "125233550328261447531727906989870374659",
                "147438716438109424551172543459160827095",
                "93107796361947374298778254284841189655",
                "286815986223071995163877604368650126260",
                "239596034145748191771766570794819751071",
                "78164566222181316875646774522350910951",
                "251014789727387285796764093106577061223",
                "218680801913460582964691568586646432735",
                "97006907085346715797327267887251609870",
                "185260749390120102417089191306019395811",
                "86719432346728130912740602374153505559",
                "251536469373921186916821256787100390482",
                "301076478363359016682405647988512369648",
                "177602930812203160408217263943320923797",
                "10520287512799073396629379124160208867",
                "158923832423496906143787234741497319822",
                "153630096394875242957352299075778099915",
                "136884540797346749527350577750617931926",
                "126479559919637638453025396845673829836",
                "19948071201290537938570625941906932294",
                "336661228406819499800541927888235939733",
                "9243104010109507372697142934284010269",
                "146482877331062384495553394435425303204",
                "164384623312299784232874149940693151369",
                "68627559310233483295541095465410665328",
                "204328431584622417652067282957134526713",
                "201415691048773933888986590121289865152",
                "91746839349007669687049642129650152443",
                "70264380601882772920207442005382113085",
                "308909724158666982345467230018622071942",
                "273142108646802396337965080262179279265",
                "7580929985234445658887223501448489453",
                "260176952070490854815737824999605061013",
                "264116567248535078427386887968458703557",
                "163300731167248828163976409539370290539",
                "273088839056844217334483514721340108369",
                "228864172671206957609016017374518385990",
                "149610114041811334672020420692628670536",
                "273593070767079807861786244445094689320",
                "143126740698256097508761891543084532712",
                "289820553019380448767713053524874695691",
                "39995500426308156633193108431867815390",
                "311981369516737489970087043849359772105",
                "176330493673097478605465860633177536547",
                "35503369775205426628395447524387852141",
                "74391335880674280180849181274884136893",
                "294052035814242575948286975113139389011",
                "30588461708632020345196355174711223678",
                "78897408031376051925402675939853167991",
                "325751973905625961829569417681077308910",
                "118831162798220480622037781891217315938",
                "83306624716741768082297498767036265158",
                "113643822646140937554129969117796562543",
                "332838532441381882298076228356300784123",
                "94364443120049708405481183779213091603",
                "115305186666322835926472367013453748447",
                "284985862880668639598549524706785462580",
                "277114255907683886223817261429968035857",
                "118200340193167343890617550952205227429",
                "109040085939919054790368078142077567496",
                "126300814772652920700797703343346941435",
                "278169447181461724002311015340453705714",
                "120267695898963894332364896144121201135",
                "339070963039770947748882783853751708808",
                "198732694503258425223014391734097295478",
                "222417699348709840308936479231796091148",
                "301387609255091480530779111721667194883",
                "192505165199716894398390688489265056368",
                "325620575142047820819618391206360378388",
                "19984022876110237578600129584692888860",
                "208549754615698119193068532768390094272",
                "36367281180245027072816487946280488205",
                "123526460878371755590476605555091108509",
                "40589808801454092990016696295629941761",
                "93570142084759292593126242522387912807",
                "160103790512665624001917240169973593345",
                "209138633853855087701945436006749238118",
                "244301110364779094865242207113318142284",
                "87664086226659036206358774810836257137",
                "257210569947118815569631639746993808266",
                "311495865451112708661645974131925785716",
                "53444361944789174326833266330108476924",
                "208276877590140810213171437680014817133",
                "62578015548551624462984153675752429599",
                "69800834295961818418698623989881720746",
                "188039082463928027176853662808109188010",
                "203353628214149842370105201688834658658",
                "30210825131250168488493071718484044814",
                "6473772293568051830856014192460420496",
                "232702036240783913039445111265590008391",
                "314971906563698356205983994040608908463",
                "312428647408303770201067527126233320518",
                "176907657868156626157423908644483942736",
                "265455787216235669010128958554841886721",
                "47087940928023943858450423348760747426",
                "334703025574350422416773791150355269472",
                "244968612942391210808248363942864792142",
                "134688489867946551122341523086269142468",
                "59279907862012361191232569716460494413",
                "91417878355249396787812605256712177552",
                "185888791993457198383745975061750330212",
                "182351081078131551628924296893274698153",
                "326259693090580714772266849972059968252",
                "181087069608068093531779461691800997904",
                "41013605743096343512923605224467924159",
                "97231507497965276918408042184215964924",
                "205454448120310233272548683278882375602",
                "222183943025678140645929196730711301127",
                "290570385365227559504381692268895336281",
                "311585440149526204666750078244053425229",
                "97497461440437480179172617842147005955",
                "286271509108198369825227825849960171106",
                "188281775464323781794926265915932826391",
                "214494868116289272984115734381517356785",
                "314907093258729289853126888017898523169",
                "181854352713289963772465749699080503959",
                "147134114178702609255002460341791079573",
                "198279557461105607919180793025437084193",
                "167629534407922901443842912022829642346",
                "90390945636219078609826222066747850287",
                "193232559693190237015639683884692638576",
                "127037883548295362097289755670378808083",
                "215025727676552155790292133307632698707",
                "246626276515613389033145720256062034974",
                "90077411130057871453191652492890427640",
                "59169554317316263539075045355900851880",
                "321204389092643835403590100634985459980",
                "237799693574327409871070810238022368773",
                "154873991869345690923184681494455608046",
                "322323845241922482204359619710473506439",
                "252259997227672015877454029593364969849",
                "76874833757551072983510888400939973679",
                "243867097756475361767232011336339637167",
                "13092153799725020797875248491549560890",
                "312380462740159185161827407235200270700",
                "317952354339426568610075392160555362923",
                "256029059654548125970821016491705958837",
                "224375051404894971703007895034459619991",
                "258561351816014605917517628919103359729",
                "304568674280011360038500277758878939687",
                "114247665716005649203746682851264366133",
                "93224445991245638827171569764465428471",
                "46779420106778771097721778378669190230",
                "216198574415546082284293005570951736934",
                "5393432657561744085084214861836558016",
                "37306017492057860164267651212731480389",
                "149340513740774143259199930111802470900",
                "76544331199822964391935427236774925778",
                "84850398891090647691248827976637982756",
                "278903579331110307205347278317072953745",
                "133540700579093974644455775846129556302",
                "104623346387644376745337510222717028913",
                "228851125814647240200586201028630494208",
                "9826340496303028750893635560969621977",
                "234533072845313254733941819102564425764",
                "196139902338909174484785403563872744894",
                "229527627213837808580233395880169458200",
                "296268554898481260516887394244608246928",
                "114860671514991421087518809536043637461",
                "32929701121159667573856670795578601115",
                "336666488092664471208110801800700700872",
                "38030905413532688303350191208919316227",
                "162259532657415088323422318185052284248",
                "106017141583022091995437926253419428729",
                "205569239884670862984774019855649444061",
                "183628291307817217861883408185802489829",
                "82225779141459548223182236846160392860",
                "6710227368576797092704762126150303263",
                "136055553605479538899501187390279842554",
                "288312720673975434251155980663817359354",
                "298539832868896659128091277280946638993",
                "74070245883032781313385802107733868577",
                "55851461734170922802848977746695046791",
                "152117318197701454242104110748126179501",
                "326522986103027506035781114962063407532",
                "224397355457803695261769433760333198304",
                "30843757311999572983780359913927576017",
                "158454118844799280551791544734173930657",
                "190628588463663411834100372472598405621",
                "170440619413684831167539985788246083667",
                "237065893105591425462515305902602888864",
                "213894140615736799387741632416855775077",
                "109135207233948740363005640194003363821",
                "77485948121146673938503478831725181419",
                "200645786075679269054595234369926998193",
                "267572815612861057660982901784165298020",
                "45943241899050083258466158792864647040",
                "325261723051826457176029346354752763004",
                "297565005517924221220622959420225487261",
                "219691664132589214205999280277186752928",
                "298146251045242114137008905596958918258",
                "151247056057114747654997832205188720227",
                "42270269115387188741633234296331026451",
                "247613191113528393278670259919340085988",
                "125191565600552854168523857752426101282",
                "232207743425808124100706687992500452938",
                "57224277286376756973992798236220857300",
                "213328696427757471505659584896738219688",
                "239726597838915010342909111415122193006",
                "162801382367220465586742545928420398624",
                "241077968737678317654732211661003582663",
                "17909805395926027360014377760838058892",
                "338188857592625706749648919921194316867",
                "142137268319291906504348781149616818697",
                "200483069922921688879373966585254102255",
                "121232504960341969720444547578578027090",
                "339591849447796019336850824397466354130",
                "185654762937953403384081444290894974585",
                "89254890937526771686225772239909826819",
                "37112817917844740731366186576925208431",
                "188580679247574518079355061346778263012",
                "174974946743741489640309901222722796130",
                "90572073887808718170912225093090012046",
                "44231422067212435801986501793671009400",
                "215315447512472980605284149875216270552",
                "146101172771452385251220785761936286005",
                "132615000162272390692395448508296830059",
                "295750348281816942537376470358379006588",
                "254553751709002777275121448780056803379",
                "38474808474215568220399703472446466250",
                "32162484501081842269604268286225066806",
                "185774672982709567309343846002710525549",
                "218290736852956794769792601967847285322",
                "215971767163050264334131100284579209896",
                "254093497484170988424245477916644926569",
                "72966193446895362115144021025598337198",
                "315798130128385864717801442498922233787",
                "68232382819718819535913614244761115977",
                "80899123874064129678102361866029388694",
                "274452155151490104329397779874850111048",
                "210152665725002714013265477427248427618",
                "80459129276666404252518911742271916610",
                "68954390527512546176231958174495894591",
                "134154227108998319711016834305699459671",
                "222040751770986335331539672385349690919",
                "20606162429832213163517654509600599279",
                "22856954756666648943798802203140976571",
                "108462611198066135940986276082322111806",
                "107651232848990682292096600843428672594",
                "329744351452288619512781478324153690856",
                "109569683882000128899585735886372309108",
                "78795967019644758213977820074597209099",
                "213446272503696237938265866667330017841",
                "267383569380553526438043469844804403830",
                "258558325579937936202940412167135084055",
                "163342279210053970559226904920138968204",
                "129750920967879727752920410688318353131",
                "284237130835777196641373744778006259331",
                "20553740339597370893431080527781609434",
                "218775588026229155504964279615622762383",
                "29331127597124018482810344996844162458",
                "211881778621040549491746955497015753713",
                "271170075739321897074180910552664879378",
                "37493562780001803339769562681308321125",
                "140634616674972122667555484528386722862",
                "247670073099268982461583208994467263893",
                "198436513041588515857027606069391195334",
                "244738495214478277806556617684190592266",
                "144390041424770182929912771687522716465",
                "93099765821625985123232178496929182695",
                "145418979803964335532809922468696461296",
                "228395244933700076812437794315034173013",
                "8237692966806830143668961843224872880",
                "134039983775435938271616527108872221593",
                "152514043228810033832663864670749669780",
                "199999950449060346321633328468745724706",
                "122721097408931766623282941249906226831",
                "296333446393487601860376500562739534446",
                "199487122351711445955693733023825867925",
                "18800963565944290700897292819862241320",
                "199595968665180835930093748645989449701",
                "108988427528098555877617796274277810208",
                "67514825189306382619614301188857236280",
                "289990681845037954275504028579557834",
                "175421406613653779729780164193838442023",
                "212045514343944722751467511168054591943",
                "329854191122318921479414053109779115214",
                "192822686184953847039941894095352727921",
                "226921883284430772961874786463193823503",
                "252248195651873637245020860236290235300",
                "234174857385698526759802846520574607755",
                "212386204571263641907628371869971656870",
                "124304695919532042383855124908598688178",
                "28210694577141025708727095204284375960",
                "29297738407395442014320176303949513526",
                "234266157767401276120499461616069289761",
                "215833878392028056436581204408383307863",
                "185802003515167283393859491530327304861",
                "113263078177631289010305416746366702426",
                "97088590195868409840250364342355565437",
                "206174812642875336195390504943157577180",
                "135153703738323811490608972115652186139",
                "43379977145138175225344210095042455395",
                "293378067272516188714871887404391995581",
                "274239520724765151354173870888693560377",
                "131953107528990708460843220461312630261",
                "296315760111685764177541663071530096683",
                "80133197093959733720482190614361500496",
                "299249533020660563519310572657616883961",
                "24912299973324892208871328345035394527",
                "246280430697906812396235575487741403609",
                "143374789982115050541073199608226601933",
                "70480424968436269166878417878049870994",
                "289096783765497220406786397963865623282",
                "166155824902463396635047305815452825728",
                "285918284584733167334985260143363254036",
                "130442309327479224125690160954709640790",
                "326019170206470590200507966061769786598",
                "107190259563527971917343773786934957302",
                "296357919230507364263718202373123691186",
                "246455182318305274401886372297517037223",
                "4442990476959834504461277910561097911",
                "49260502245761956536748511758432333223",
                "265336913517049166566636599302005864841",
                "331861408248752007209836995477601483508",
                "16909749986839287523921298627307471669",
                "94257311824414767392046283125810690548",
                "24674775501381299663894279094179698280",
                "172790056073936586677064278673502386994",
                "126411496606138018312574242906648458601",
                "228472989544885069597302963570100614338",
                "326406414464483177951261821492199311420",
                "209417530798383274483606454281481754220",
                "205637632616128654190781381962053192355",
                "318944284710982611847963086067815400857",
                "157446764286675445679125224887168367097",
                "50806185078645546620515620918333610601",
                "304065580084036334468482851214716651468",
                "164139477367123153595589682318512011393",
                "279563321459947209013041840907864590921",
                "89691040733794987150936309204376958762",
                "232865326605779264090221501976678921504",
                "332358992049009523287161492520452168253",
                "65331539076655730474047609119227696812",
                "129057189632780114529950917021942407249",
                "217917479488059825165938783152207364180",
                "248119697254616833682661637412638002928",
                "139235434740604250938693108835967843594",
                "44874429897001596099413839202096763005",
                "6595616585311147273996567713840655251",
                "307974224821762928315355252689231133708",
                "137020809436777060197843898703421378023",
                "128370863461190171235518784160813667533",
                "244746450066807710377836899678929861307",
                "226756342353691072182664240167992272122",
                "185757870105529213291394770992819692663",
                "62372933146102698304093666616103036469",
                "134772609021020917802748608304998895478",
                "97029247690787565013366763399587334508",
                "121904534343416672707521571402049719590",
                "172568051555478663574038047346525247004",
                "113548858488028852620573221576544915882",
                "34816296595601721033923091188938956075",
                "27990108487155100875116962168269701149",
                "234795878964845380594494575757994020610",
                "33846189401122401972887335548547140064",
                "145376536459579672041113782354840294149",
                "44849256282421186780315889661035170689",
                "145031891305161479978130560344830982469",
                "70116180873244849027489599892206451472",
                "275167078850079189718512367817595826019",
                "37323598001895467614869091972497435041",
                "193136872507304542747932825487612172016",
                "174177798113041307013232685824521922618",
                "214754811556781513571517236700883188408",
                "94518536748563026168057951975198619820",
                "35457102978630284571855720023132687221",
                "285102619570771839582803170377880275676",
                "274631610237616470051769541172931206905",
                "176989538827425350256322553276575550000",
                "9126412969461904724373540441526177352",
                "215328415594493906785210940434249306839",
                "158121569431019267065873778977349278499",
                "152552427843468063810339512247428025662",
                "80795528031946973246769751358124534533",
                "152676168419329541173219967452833758076",
                "337700998114405836714875441331463047792",
                "69606049744891266513275960032262420590",
                "310516868604537671468893913598104815990",
                "78775221229201541943608001802213080542",
                "299604972470247505776356278008966606108",
                "64816319169848909659362125246371298767",
                "214871547278440530599551034701624916036",
                "307377151167954527468995184727989387938",
                "225079201411129779050496024754363272310",
                "80101431446562222077078158286867170331",
                "100601248696444503894525477927375277034",
                "179835716654314054045107782843102495235",
                "191972891065513307529581012897343565112",
                "32502919671933073877053912274647016659",
                "328737774161818066820684862179934458667",
                "302712141317421121176772523421527712744",
                "267263981883039764528744931449008119401",
                "225720339294262463994327767981067610077",
                "242905934029126957757461239388439382564",
                "142030601722387268607637112289427506435",
                "296135809552933561556097637889080417496",
                "128120076311866575161666360661957939287",
                "183864712348051206731357132677952498890",
                "337963657493860362730376729116805710991",
                "60976994887087309961813246728772651456",
                "62227427454396541153939441860190145492",
                "329853737458202751821396689464894793260",
                "256291859829931407637339777136198487171",
                "6022107159933724663779602556482110568",
                "225366596398343133050546094974309768464",
                "227957885450958791267465986226968880761",
                "50584340960597216327732196132654705712",
                "277780722010456093329213057665332750259",
                "126681273592069029926916530404610156241",
                "205200761106871353248521720162983960515",
                "55209439426760547135435211328815433110",
                "295020574347867058553524962951433121871",
                "291359382124130519895056558056771787274",
                "19127943147299136814354015104389929432",
                "81792153547041019267190357189162328116",
                "129509737420959936901086648017707784257",
                "290866677761402465751699034161244432339",
                "126602271027791840587262910257129339054",
                "277082059485918307401360867994340379535",
                "6572971038373649142448607177274586134",
                "272373012293868881802194501950922758850",
                "212649440550215941839382694886925904406",
                "11344415630564500247365266797477349693",
                "227610114197273705021696370704142271452",
                "166750452882140838421442858308512861248",
                "302429950969657122822928989997655921454",
                "281817815534355337049791633741153294914",
                "142250052548264918580844099309988511563",
                "71141410511687452904428799755217781543",
                "333603307567941563032831454724249418944",
                "206438345181545278310880337344627887566",
                "181380222864202522629599701806225579105",
                "53853478002325309858038791007582465472",
                "69255656554574050827178358198280177068",
                "86296481134284133274313061431448815608",
                "232555018097809081402580414110686524886",
                "175769100420973274557936844835510736602",
                "93902185974748540378353199330321198795",
                "153235891080617584704082906707393953562",
                "164660340871730016764461862514588278494",
                "308562219831991803920589832119670225999",
                "306357471331023374588875044156601307379",
                "40714191600239177505926154582435477240",
                "76693741313166617124926005057148929093",
                "139474396391253128250226455270982096516",
                "317216874243872545755128117806172904009",
                "180825322294177105265553951357333870140",
                "322339944847035276791721229944793031763",
                "110284559112670672651926418474300607576",
                "218496499328589340890813731710616661926",
                "276554423462303546387241181024634615610",
                "200415260888534249034621942481730536384",
                "175225230013630224223504681552638062002",
                "314044372757990826175530908409222918101",
                "285947672441030946407961870207487076398",
                "311100412961238581272609381604525158168",
                "295011529378531834306131597185376939873",
                "64065048361825296036246045500670180339",
                "182541704758464687980573029089448326407",
                "82420429959855145776686114801088819029",
                "335251550990042556003741358652084467944",
                "121806423524073682993792214977381896838",
                "260073374966889662390338981596751108952",
                "213700780451195963679638635526906162611",
                "227812139725950661852781183079980495301",
                "114682556422714276366644097419331304117",
                "87051532002604432218504700617681923505",
                "275156780890637029616712095886276844934",
                "171474632192469527528485863296246287586",
                "69221821867025196231697730791146045016",
                "168977251400784099406832396327987772863",
                "56900562584119176223753523947620555724",
                "143864145264935524736781475560208086894",
                "133218592610749389529102431704303004989",
                "4383827317731300621168124499300317637",
                "334998435496302485559051274995262476193",
                "267870471085914184836988830920370774873",
                "129736609122321990978655159100330760221",
                "195237757364748740330900501205442395642",
                "138245097139910165762442914821725075023",
                "262929413670503772636388018958387716750",
                "208085741122964796938781220664497883149",
                "319120543200761852897230303623834760082",
                "339325797043343658774653855033045697897",
                "91989787222052909855048270288968043821",
                "186093835910424469150856127716718738517",
                "182230288919878553671573936729365218361",
                "68975347667040369258558254734120618083",
                "241113266082542385390148942806200119225",
                "330852155285806828471007785892069628040",
                "111951751829502479317867601808041309828",
                "186403645092320159952129409080328495241",
                "251539958273711152419681120362793700141",
                "903930583173508651405059185669827237",
                "275241087512354523000283659783996898287",
                "184221351017399475654842724790175827110",
                "50381974108863257791630636366862398870",
                "178202061725421452196613235788676776493",
                "16496598533864672920716662986064674684",
                "174413474307023904559765884728644583430",
                "1751994913545813325722033958593369163",
                "232346031693795596347950101474318901998",
                "224847854218188010248345402440256942702",
                "242387643658552058919373449033299497100",
                "232636013862480404811733820877687192366",
                "186875322463540823481503659101700344122",
                "286692743689699601339835787780118405567",
                "302161706698965349676578300360653704757",
                "105335148681613737496619593080562283518",
                "210050599360189717721773515551641917644",
                "281854746965950880583451662715149435143",
                "1527952451925159041696461222924932631",
                "173125896431925931071998287786149558509",
                "9645096669186933168165858228638049887",
                "195388376584890770903202709084241318994",
                "284861114431312649965967653695009984448",
                "321422738799091046076914903416528834158",
                "227005289514519816675878578362540494793",
                "212763128402696033573714513974818725243",
                "261415583868084764424776235143484748877",
                "112086185108911098316063508447879975615",
                "119616257012652529086661047034391924678",
                "83590675625682945114291463008930506617",
                "236922506219602913083515738661068202616",
                "5270574480428866421171240710154401335",
                "54733603256397279715088337325002307676",
                "262994614324413340910665757351278400757",
                "21040011535511315241127567720254855229",
                "84009934387865821708669260134006874128",
                "337078956739601927531856197206732227041",
                "101829510508614528258704031271201031496",
                "327993810384250359476122239300071164905",
                "311497868179018014828522161198482128458",
                "304529552754634620815404979974061229792",
                "150195365709545978192956753648299697080",
                "162763357243179432712985001747332221657",
                "201438039558849253509911447483860326911",
                "27902739274702828649873295681471841849",
                "314809546774493951248498615175693672958",
                "265284235546237335512588399986511532003",
                "215844067627834226609250952144942176096",
                "240361735174826491767603296074022541383",
                "119778634786719597547336187150733821988",
                "242750960582251660335693321179087063905",
                "281321757565577776186283591649672239509",
                "318177056369205882695371310293545944110",
                "55311978271851669048967227231676439977",
                "300941997220272684688107088703877621782",
                "146943750186830306045631566924270992815",
                "147229383506132523725833396404895428694",
                "49008266514165425648583468686372774007",
                "320243101691168578603039235823302333426",
                "113632086144865641457393138556546373400",
                "314441102427939149190944522662311816913",
                "115179432471495024985062366585125273079",
                "180964916872262690858630007541800904002",
                "197900005630354519184605980303348738433",
                "145844183383372699861131328008934275399",
                "258654239237233289022896030927183605715",
                "195456705740667434357002961277240072800",
                "58391424218614682287837982630640894102",
                "158916690185919573555634680759865131851",
                "219736554575388303555094236533378560794",
                "232704136403538410914494605128321530896",
                "183981827485271717726230858503722286949",
                "325846428874277707910663635201058310808",
                "259932007960516006197826472023765200392",
                "311073858351812515032910106455614274262",
                "16865448521552984427065194586665952043",
                "18541915490055460463144920682214130697",
                "202718573237805625310885369337161252900",
                "120270763688754102207986856498246162284",
                "18554679362345187001301220594949354136",
                "135743241539294781270481709658746100692",
                "165356122972751223780235600461959329558",
                "94290480435133580293601160706366320990",
                "194046232717570718831540257046832373919",
                "239089833556813630740348227569192940437",
                "297833529058211311576946446881516099006",
                "260608190426768504875337380076952337940",
                "158170182175641564066725860079854566325",
                "4019728087499275559759006833659709839",
                "268445444495659549469639649968845563116",
                "180706621451455729367643550519844828219",
                "299322497816374841077257585392583099224",
                "243056869630327753701366583791233946755",
                "200716571442426702769211003026631934494",
                "115552271657754498739273369510559597962",
                "91400437529889450315299426027439397632",
                "265802473254471671953272305626810515328",
                "205763130411919343892211491210029239595",
                "89456037820840286254575503324438064992",
                "111074310227817600940902890515665334859",
                "202733135105988308137841696187581794486",
                "173265522521560867492346643105672684246",
                "272342694890630184432503507268343169431",
                "195946115369865067013309706557770762185",
                "321025013055391954412060966184445946696",
                "235590924577451413759016153664095960454",
                "1806734561072243752208383426250605134",
                "145293870011467394616420926587478828400",
                "332321545579664846672447863232688477458",
                "148080260094975806322959397360941204791",
                "219920427073899243391211289622255039374",
                "259089314465457068707019661878960060688",
                "9991097936214303112246549551518462440",
                "7198281739393196057277802763307703132",
                "15622712601018327376515640677748106910",
                "196482313680753701951869732329165903620",
                "153110350550020427045937468665395300141",
                "100586552810744060072743884831525268472",
                "315737550989512693039513874153794946357",
                "54209017686426725042525349500881003660",
                "27319631855470999258553135617536372477",
                "1699852253992189375505481132594273248",
                "19554010681978740628761200210929788249",
                "93449290489094598000309847663148019267",
                "294007673392227172258901185571244607294",
                "272911556915113809842541769173611044221",
                "242147658461528844971819893131637311035",
                "260066417820396700836995214378916329011",
                "133119657396077181507990287532901475263",
                "227090678183643515098421067476226213066",
                "78320658684022372190238741542394999037",
                "207373546116920470420384326949431775558",
                "68039979366395940573350915917579329279",
                "129175880700152189412478115635763345345",
                "314362186653695266019392043215282396756",
                "128623215647682966763874547476515953331",
                "258896859786819891091711451002502170957",
                "324450981707406544789730033263361576082",
                "267989473138723199687781623779481013476",
                "273223145438990231627521522818722623914",
                "37176764408313549038254331410023981823",
                "338787925947179125512569540345137440987",
                "134982968019739006239332655253483189521",
                "33333617899854628601721903433418097411",
                "292706945984523515332080719324458112668",
                "144537869596775174243696399838966110794",
                "301758567909686041372179619896978475785",
                "71400594774029631013648738708979604923",
                "119596497645133879669478609871544608677",
                "189099466122303876769584863557620016613",
                "271572096417413617478347337337099296586",
                "144980663618022897417372216751626748349",
                "260710704211880613039519449790289440880",
                "169459701401159502529256397000176195052",
                "254289677387407358095331346652330375805",
                "236047145944094809394007895221523984365",
                "231864799015802262694605859470630521679",
                "190313837651547543732694156122991754390",
                "76585198276086900467720762704890199869",
                "190583193552690470984796754858127054342",
                "192295757272785924824240292725400760124",
                "298354726094826173569684264287605002927",
                "123630333714644847854209070606294045650",
                "329270183798599885409435829206128469627",
                "280505832904027591911990655528218419472",
                "336607177768682128186418774600570934622",
                "242671631319734649752291341975106437192",
                "214477295405305203884825186386439371044",
                "136984672383728928405627265944411773208",
                "40640750831196943193305269785534324191",
                "46910388079215373390848059890303080887",
                "5252242457337705406087832031045711475",
                "302353251473158309745220672340625646833",
                "70873368236096388341378386790315215456",
                "309428189646034870861109034068653256657",
                "74883798862296401312084077680158942393",
                "190044248956328972249705006152270993211",
                "199217965382505343584872464322926527283",
                "22788493173145634027155985001551821129",
                "255982813979681678293529010967743017579",
                "138536918445010139287125700672775190624",
                "233914025758773637784064630417457556772",
                "336641427784558701372975255829338942972",
                "63130345715750518885907040792505705936",
                "58658898026327243395348160240829526651",
                "101616340062783273588572707077262971153",
                "64052529622049212100329889332969831405",
                "231560367268440623165163985427945554748",
                "50855554089389003778729746821989731920",
                "193727249306835864775939133768131207861",
                "177722956073962838556888153332130148238",
                "175291560899712629223122696130274241714",
                "132524067215337836339205843038732651879",
                "5356365066970590128797648307210439552",
                "170416437691301281607377754082587777833",
                "173834082875525138074418529851581610179",
                "210817084315249854569522362214304647099"
            ]
        },
        "id": "CVE-2025-52484-e7bd172d",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "223838025936886467597437144454496981401",
            "length": 2499.0
        },
        "id": "CVE-2025-52484-e8c0c9ce",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ToBits_16_"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "214135406673073388515781690505431072437",
            "length": 938.0
        },
        "id": "CVE-2025-52484-ec5fca3c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSRL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "8126715207837898386291608345302027326",
            "length": 9497.0
        },
        "id": "CVE-2025-52484-ec8458de",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigIntStep"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "42508594765376746226903456287216328636",
            "length": 39960.0
        },
        "id": "CVE-2025-52484-ecd39c8f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_1"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "196676361916934732489323310951612728496",
            "length": 899.0
        },
        "id": "CVE-2025-52484-ee33bb8e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpREMU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "259889071479242441146161287547181105245",
            "length": 900.0
        },
        "id": "CVE-2025-52484-f03f6d59",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIVU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "175192786178657455857918897995086332011",
            "length": 525.0
        },
        "id": "CVE-2025-52484-f199d184",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_MulInput"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "306987470615369552803137267697536911538",
            "length": 934.0
        },
        "id": "CVE-2025-52484-f1de3b06",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "286787336212878774162542439812866864434",
            "length": 5132.0
        },
        "id": "CVE-2025-52484-f1f9c7ba",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_PoseidonLoadInLow"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "119058200329694075957690526848080158836",
            "length": 7888.0
        },
        "id": "CVE-2025-52484-f27dff1c",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_ControlSuspend"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "333414217987719542503133857909201442483",
            "length": 47269.0
        },
        "id": "CVE-2025-52484-f2f0ff08",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_4"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "165610444721097183597541043733537453136",
            "length": 36831.0
        },
        "id": "CVE-2025-52484-f32eb2f3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_9"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "177437565140758132361233767808742353651",
            "length": 73091.0
        },
        "id": "CVE-2025-52484-f3a4634f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigInt0"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "306987470615369552803137267697536911538",
            "length": 934.0
        },
        "id": "CVE-2025-52484-f539e745",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpSLL"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "40223919009865642651945173363524566977",
            "length": 48218.0
        },
        "id": "CVE-2025-52484-f668d2bc",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_11"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "224971816334070627011650414858670630435",
            "length": 43788.0
        },
        "id": "CVE-2025-52484-f7bfc067",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_5"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "262372292807714290000091772347853888669",
            "length": 50699.0
        },
        "id": "CVE-2025-52484-f8f468c0",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_2.cpp",
            "function": "rv32im_v2_12"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "313218507187185836484284228934734259366",
            "length": 900.0
        },
        "id": "CVE-2025-52484-f8f78c21",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpMULHU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "21966768288158329163739468387396001048",
            "length": 897.0
        },
        "id": "CVE-2025-52484-f9752fd9",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIV"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "243276544218274453697908395259173270019",
            "length": 47353.0
        },
        "id": "CVE-2025-52484-f9deae17",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_1.cpp",
            "function": "rv32im_v2_13"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "259889071479242441146161287547181105245",
            "length": 900.0
        },
        "id": "CVE-2025-52484-fa399b4e",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpDIVU"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/67f2d81c638bff5f4fcfe11a084ebb34799b7a89",
        "digest": {
            "function_hash": "77696575652077434375449525291686684326",
            "length": 51107.0
        },
        "id": "CVE-2025-52484-fbb1ece3",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_0.cpp",
            "function": "rv32im_v2_10"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/006d86c363b16d2b2ac42d32d832a209ff8ab4c9",
        "digest": {
            "function_hash": "12642439884451585175966910165838899195",
            "length": 46157.0
        },
        "id": "CVE-2025-52484-fc39e80f",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_15"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "290811699037264848333411265019294516701",
            "length": 917.0
        },
        "id": "CVE-2025-52484-fdc282e7",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_OpANDI"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "8126715207837898386291608345302027326",
            "length": 9497.0
        },
        "id": "CVE-2025-52484-fdf00f75",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/steps.cpp",
            "function": "exec_BigIntStep"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/risc0/commit/1873bbb8a56793edd1f6195242d184cf6cc5175d",
        "digest": {
            "function_hash": "106536261409402400596361571361989969819",
            "length": 45120.0
        },
        "id": "CVE-2025-52484-fee5ca57",
        "deprecated": false,
        "target": {
            "file": "risc0/circuit/rv32im-sys/kernels/cxx/rust_poly_fp_3.cpp",
            "function": "rv32im_v2_7"
        }
    }
]

Git / github.com/risc0/zirgen

Affected ranges

Type
GIT
Repo
https://github.com/risc0/zirgen
Events
Introduced
0 Unknown introduced commit / All previous commits are affected
Fixed
e0e2918302c93e956f73ca2e44aef2b861d8c3ae

Database specific

source 
"https://storage.googleapis.com/cve-osv-conversion/osv-output/CVE-2025-52484.json"
vanir_signatures_modified 
"2026-04-12T18:40:02Z"
vanir_signatures 
[
    {
        "signature_version": "v1",
        "signature_type": "Function",
        "source": "https://github.com/risc0/zirgen/commit/e0e2918302c93e956f73ca2e44aef2b861d8c3ae",
        "digest": {
            "function_hash": "111267577144236527392771882718113543797",
            "length": 3509.0
        },
        "id": "CVE-2025-52484-475c4d6c",
        "deprecated": false,
        "target": {
            "file": "zirgen/circuit/rv32im/v2/emu/preflight.cpp",
            "function": "preflightSegment"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/zirgen/commit/e0e2918302c93e956f73ca2e44aef2b861d8c3ae",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "64410991017792250926833775953836206202",
                "18658311252208387719720255174710141346",
                "314779621944597106286112442546591703863",
                "176173211744817251386122894900909330740",
                "207417664664482610016649528540649015874",
                "219871009600627494004741906261487635345",
                "105954732002544700625414667482865891703",
                "12457973324910134686805998101277219723",
                "59476593375870208367205278330019927181",
                "237395860487155892856358102067483453061",
                "149005187225934919302570769788851636812",
                "133572012534314776323645469123920022090",
                "184566455108783214940758702355464832539",
                "237395860487155892856358102067483453061",
                "149005187225934919302570769788851636812",
                "282917041121959000888099405964392143492",
                "91667219757367955993226130569690275375",
                "41288391967984765979773950432284747163",
                "324993465502094832838787945220798544990"
            ]
        },
        "id": "CVE-2025-52484-d3dc73ac",
        "deprecated": false,
        "target": {
            "file": "zirgen/circuit/rv32im/shared/rv32im.h"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/zirgen/commit/e0e2918302c93e956f73ca2e44aef2b861d8c3ae",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "143740619371338028257442481251968429565",
                "285440771094411500795042927464341494331",
                "153548958253587199175891879442599973271",
                "12557850211363831826895852552961952623"
            ]
        },
        "id": "CVE-2025-52484-d52d6193",
        "deprecated": false,
        "target": {
            "file": "zirgen/circuit/rv32im/v2/emu/preflight.cpp"
        }
    },
    {
        "signature_version": "v1",
        "signature_type": "Line",
        "source": "https://github.com/risc0/zirgen/commit/e0e2918302c93e956f73ca2e44aef2b861d8c3ae",
        "digest": {
            "threshold": 0.9,
            "line_hashes": [
                "330403271670429789696354887913403745305",
                "161120527762039454659839574848141035578",
                "324693473119467310987437333656296557304",
                "178788828716643361587739480376245638077"
            ]
        },
        "id": "CVE-2025-52484-ff26b649",
        "deprecated": false,
        "target": {
            "file": "zirgen/circuit/rv32im/v2/emu/r0vm.h"
        }
    }
]