logos-blockchain-rust-rapidsnark/tests/test-vectors/keccak256_256_test.vkey.json

{
 "protocol": "groth16",
 "curve": "bn128",
 "nPublic": 256,
 "vk_alpha_1": [
  "20491192805390485299153009773594534940189261866228447918068658471970481763042",
  "9383485363053290200918347156157836566562967994039712273449902621266178545958",
  "1"
 ],
 "vk_beta_2": [
  [
   "6375614351688725206403948262868962793625744043794305715222011528459656738731",
   "4252822878758300859123897981450591353533073413197771768651442665752259397132"
  ],
  [
   "10505242626370262277552901082094356697409835680220590971873171140371331206856",
   "21847035105528745403288232691147584728191162732299865338377159692350059136679"
  ],
  [
   "1",
   "0"
  ]
 ],
 "vk_gamma_2": [
  [
   "10857046999023057135944570762232829481370756359578518086990519993285655852781",
   "11559732032986387107991004021392285783925812861821192530917403151452391805634"
  ],
  [
   "8495653923123431417604973247489272438418190587263600148770280649306958101930",
   "4082367875863433681332203403145435568316851327593401208105741076214120093531"
  ],
  [
   "1",
   "0"
  ]
 ],
 "vk_delta_2": [
  [
   "6297894437972645638149489686175262957505034263069298804658866776802361905289",
   "18872138360647554907394630188964714636901196967663673779680925559295276005060"
  ],
  [
   "9065427428788736973390346911309315932876177420602119929009211552431568022098",
   "5501951161405727786894274586090689595700009501865059342728074301573950458533"
  ],
  [
   "1",
   "0"
  ]
 ],
 "vk_alphabeta_12": [
  [
   [
    "2029413683389138792403550203267699914886160938906632433982220835551125967885",
    "21072700047562757817161031222997517981543347628379360635925549008442030252106"
   ],
   [
    "5940354580057074848093997050200682056184807770593307860589430076672439820312",
    "12156638873931618554171829126792193045421052652279363021382169897324752428276"
   ],
   [
    "7898200236362823042373859371574133993780991612861777490112507062703164551277",
    "7074218545237549455313236346927434013100842096812539264420499035217050630853"
   ]
  ],
  [
   [
    "7077479683546002997211712695946002074877511277312570035766170199895071832130",
    "10093483419865920389913245021038182291233451549023025229112148274109565435465"
   ],
   [
    "4595479056700221319381530156280926371456704509942304414423590385166031118820",
    "19831328484489333784475432780421641293929726139240675179672856274388269393268"
   ],
   [
    "11934129596455521040620786944827826205713621633706285934057045369193958244500",
    "8037395052364110730298837004334506829870972346962140206007064471173334027475"
   ]
  ]
 ],
 "IC": [
  [
   "13542259662509880697115304753079295881603013205230108921372666701952188889347",
   "16290951981141655829833123347473801604028067399701248382689670382175085808746",
   "1"
  ],
  [
   "13082126331333440774622268395738581470262292173868544944507934020066118633285",
   "7693312185311232730363487546717481865062704171023505644483149378301037211718",
   "1"
  ],
  [
   "58200301638315296346777605528378481634206405868461427769340586412213455902",
   "15315377082129691349591807947915080910119251657303541927869104779886420033028",
   "1"
  ],
  [
   "13450724404320651835447108239754980976592743467220750474974173953267106002661",
   "4386233626506256534814695927591116716120109801061602352809157757956743606113",
   "1"
  ],
  [
   "6839522180679610099377753360248154413817353976398168145481302321072799493032",
   "14784285549980127748106353023204961592305894675905800423629513732135913152279",
   "1"
  ],
  [
   "8644547939308757996365465244401261920694917363877190081876691849071630259296",
   "14477508437454576270983840662048749132237650837099765663350707272588027697334",
   "1"
  ],
  [
   "4025377698882864397002883160528465345540277809810971796911546862391020095519",
   "6692175354583728638182661406375245081020634644768165117639005620776940735679",
   "1"
  ],
  [
   "12910391500661093127174326721882930012490868886571010551334421806397776017992",
   "18746240914402394053536836889397713807805928270489509932384009803994673039935",
   "1"
  ],
  [
   "16623071837076811454963616836421703399512416275406128221422369378751161149633",
   "11047240907810940455307480208133549910004809886562039068276902241865701693442",
   "1"
  ],
  [
   "8347654796061712136463776970889905314687267067221470253510608690824081593882",
   "14310867448367453470010733306583217183983046953111793736733865651453559546867",
   "1"
  ],
  [
   "12279088776829207044249086530015864356564593899197115132111154160503192306589",
   "17012805365511805554436248232241739000143722699694205805853676655199674078283",
   "1"
  ],
  [
   "19760431495779714174632524880356259998232797192332617173159032642611124634923",
   "20846024414499976586391444717837974656280218817734347681793253542166557363152",
   "1"
  ],
  [
   "7769191438341711799975100930945482073966776725882615943408401484417606589619",
   "10208467762644113675474858804394266792686997313048154367664093547577508501702",
   "1"
  ],
  [
   "12031944135980517064355924004344926830445696899214035790120522826390571949755",
   "460668335481966618470033749673512351456594545634718960323975037568115236990",
   "1"
  ],
  [
   "1768589318487981400761132905993361554717305967991229947744349023249302858967",
   "11222935748104268462809437804111026203314583199225624844936920255728523361035",
   "1"
  ],
  [
   "6603137648975378676224132808074511620843193383836397832522677022146905650469",
   "20876227442535978602927479085868437090307180360825613461600643405002711427157",
   "1"
  ],
  [
   "17555683597161092742602080698934466916888416725917542420881073858848631126092",
   "1032321687809645981798110127040503358232697270626146864608072624979895296238",
   "1"
  ],
  [
   "11687586409192510668766142006307590801852767717147770878264380394101863096841",
   "8434453703032527944760973779292699135687734059841415741871762317190553889213",
   "1"
  ],
  [
   "15269591960356805387242294109846896313467457733050807879561075875527678899855",
   "14748902888678628598938023713235054422833397164598358626308045099597516094105",
   "1"
  ],
  [
   "7699606166724469976723202853711822309477026958070475174013036751735069000004",
   "4303159397355634581118786161268971284987072570613174331442271675156887416571",
   "1"
  ],
  [
   "7224179211122240530334681228447940047310118723750051163282238408175266161412",
   "3213996564686175236088716389067889668822474639289996252351529189459900723364",
   "1"
  ],
  [
   "1675557144263056933480601584021711069053987483625639715171119219368766357882",
   "5862410450764844385612551190743765003801066039073066383193917310144487765763",
   "1"
  ],
  [
   "12429676091109943055844380020669934613373934381411936740296695746459351361956",
   "544902560604230177248092262263106314548933429464453774204926946262009371524",
   "1"
  ],
  [
   "1565782269471802274261220850311774788001673743985938139953107227459973068732",
   "15133613253038074758891372848711651598251596987139778912198880142986457738176",
   "1"
  ],
  [
   "15072644516245937554898690390382390962339387095966853006634156918543415641873",
   "17011412779701620223766503014330069184139602518536850498663212680453041986683",
   "1"
  ],
  [
   "1710117522386370930809829420526442203568102919051537241852002050151161207407",
   "16401505777498916373285734116507328461262773063769512416561731700724314406074",
   "1"
  ],
  [
   "5590565201828702900054993166345341357867612858494313457457266959716924634592",
   "3216992338420841614485408449315387103593076253111079624976989082268446181076",
   "1"
  ],
  [
   "21475434886932772100832494950642543967059386398342302293776209893725061815544",
   "9615823734414824804662335377630088713255628868620057110133506104525314530749",
   "1"
  ],
  [
   "8116705036281063945005946844799592429108318698675708050192009646625713713347",
   "21002019527838758185035746177119857292336765301276303781358812552379492161239",
   "1"
  ],
  [
   "4619841793245034379994332212962558581974961321360503701809283519840931112750",
   "2135455807787518802888186912095326639994561225189186248564992449653048116030",
   "1"
  ],
  [
   "17744072614015060082949606811390195521863813508410309028210203135074597100614",
   "9267684710669417097452688901976353746533122984953430459208976882166104587736",
   "1"
  ],
  [
   "9878486120031918269596320905301901348308738033553004472235688008706194039104",
   "6189763047749360827723886893014728107274306260991236960269572435999231156524",
   "1"
  ],
  [
   "11676521593049147802563499977836397057296834267690416813487773226741110269954",
   "18159509802362747182987027945071153775741020127956442988221665168808574953319",
   "1"
  ],
  [
   "12998491112541801214913722547975362191920780593101438028167030774879443883328",
   "18557073129974611090065172632243679269633374934080571135273071829588390619263",
   "1"
  ],
  [
   "15074775271197395931775628632663177827143651637604107513312968304985024836508",
   "3308563960102270445047507974327084690557415715960800227265066713870696375867",
   "1"
  ],
  [
   "1723996927298477671369978207239012883777681249466116910659828538337394306951",
   "11054205932344590499932616201896779427372271252586070437679035947664751631544",
   "1"
  ],
  [
   "7631934247236323263644471286770133410370134101129767015069955916933853171167",
   "17736909389705038378756538518172600004939724152696572987825834794361827692573",
   "1"
  ],
  [
   "20906860538067171220208946952538613187348362732962843693364371614520148640873",
   "13827718710082801214243582961097774256106848176463694309897524514256670630891",
   "1"
  ],
  [
   "7741550787660599040029625478206814121300820833283108872742885793079387974023",
   "4730475014513971294673599799316547253169413541570646881150763432336762980544",
   "1"
  ],
  [
   "20486604084430508256926000176545438254619688394153810864345404059028779012765",
   "19709838147609771220902049587751078630110859193458561635808509163596402859084",
   "1"
  ],
  [
   "995337393402531767417041378878637232319927589639587606303341356166860829550",
   "13807522014973724874276143406647228688864094933196070791743622154068472153913",
   "1"
  ],
  [
   "986747614114682959696136927439444711291067057207893833573170629990066700143",
   "14659399718256464840381165482215793401858001528961229398364175289445347562113",
   "1"
  ],
  [
   "8364658009300441087859787684317498497548560383464895268519406627012141277225",
   "21632032049528123656516943180227563244419836283751274959398946736356715115048",
   "1"
  ],
  [
   "12688051498135816204134334599263722230299433591840350091470102297359960440457",
   "10674193678066618184555607072184963395888181632758427253162113355133302420032",
   "1"
  ],
  [
   "302919583354682922225109897573924724292957450043320313405886956524153340058",
   "2757324831658687107100263247093466881812091795439129491561687021335226652139",
   "1"
  ],
  [
   "3477477405264024731545887580769436945813282424508375160216784747570096657234",
   "6373646930101112913978600904456551980730853116610845715772316603865786407468",
   "1"
  ],
  [
   "9546811583372708582899851460304187994044120130983987178282605869659536377343",
   "11728161765613305049227457095562711599217957021523180181021359425619357857885",
   "1"
  ],
  [
   "17113573972240840826851876063808109662242592983480720093358460277096606542082",
   "6047497017185336175455399376653799527970508716871768137462655004007414691681",
   "1"
  ],
  [
   "17129771040446313243305419180515253630151478292087768419269171844911215366859",
   "3273933181257200504590236973694828413949939934930665622068020333627789060609",
   "1"
  ],
  [
   "18458507373267613570594432517488263449645112614298197101672256363585747765166",
   "6858141932659784626289617654147144202729494104009096618906541883793411997019",
   "1"
  ],
  [
   "18375697036834941632408226650394507063373985318086412078120853678764458188539",
   "114880147991553845474967675866233808852673712708354445628896765989837141864",
   "1"
  ],
  [
   "7090347436221625935024505345537029308087185776582899927550173360026894533989",
   "19216046090994490228593533352713088761321243996678209361584023544742841769637",
   "1"
  ],
  [
   "5256802124863824601801809699338525432338667145021784792131679652042661229378",
   "19908616704229622811829429018563478086367860113984527373600669389031302844418",
   "1"
  ],
  [
   "5183797023848914792967996619165740562314220774203417266271178566176203543598",
   "936933062577717357774976387099067939788895283372733090579538779185924155987",
   "1"
  ],
  [
   "13194036953375598185848259746778185291626939498977911891702655820383587368652",
   "20426013922663216394525292387922292563237960697248329569742906076308425715429",
   "1"
  ],
  [
   "20956806568264858578512880515416879987827856195873791162261632241054456011497",
   "18144014473936996305259914058380834240157003980268812354542521405793250571112",
   "1"
  ],
  [
   "17315250252788040473480063274536011429890246457607685853805308447736902409072",
   "1499900499969467904102294254643109936714909045249696895586955169050772783738",
   "1"
  ],
  [
   "17845840734330757015603022518799452730499551082056848750170256138992463215049",
   "3715603172088154544115685117402497819437651197761119655216013239033221123581",
   "1"
  ],
  [
   "11541036823507062883285231305710660177933758804987333571401483046859693641427",
   "18288594022185904242026971880700318686883330695719086059183209194914713279153",
   "1"
  ],
  [
   "18584012092574511205343819598450714995395039967904662854837399663225207620722",
   "19878205434457881837184343447280848153711826320308120515793448220328653513978",
   "1"
  ],
  [
   "21618563263608140046373350044193377276517537241842373269449569527181351559068",
   "15626776544780718007230385792607834957600999519619192054027292991445833898094",
   "1"
  ],
  [
   "17873457089782092242257742496087301500011538139446998011733159459322356392607",
   "11185898958545372070499417816688158270049499316743096120142414659121219805925",
   "1"
  ],
  [
   "4719888384823951370300228262648478093420876143488437297182653207480140571422",
   "19281314968611076814188913307346543461220018238174657830916776608146379692700",
   "1"
  ],
  [
   "6890841251133627576393526346719318792038802575265206880805523454173302973618",
   "21032562133119483413041367532094407573604389983420947895631852866650578510972",
   "1"
  ],
  [
   "6784753120735866295671416566348123776984223395293971348627705388777036829831",
   "16987688376058939600840682430236901347390264348042743509887752023837345949535",
   "1"
  ],
  [
   "12996724683556610945860607067325423672939262909891277759036778647198799453492",
   "4431448747488303205336656144759735292171122922882014751476932984076774637789",
   "1"
  ],
  [
   "6289520303845040738036646320842828181409077268090344368566773855025579995317",
   "3023424231097538524163276510329163523968799426365600591547087493885713506794",
   "1"
  ],
  [
   "20493212667201009344108837122246137785839121964274306619033994763059579433234",
   "14897944635047977776638615941825729114464216656543002180369011393812482633054",
   "1"
  ],
  [
   "5037286480772556301312115195158961608026625367083912101996778524023149612377",
   "11952095786475728271355791765359072920359923433133239981645847524862974726764",
   "1"
  ],
  [
   "3211799190951327294384832112581887327000900739873461968599999050663933385735",
   "2534590993484712290078462824835829948643277881293311384168215468005253279673",
   "1"
  ],
  [
   "16508666611123584576274899155036758745492285885264063063230841339988230585132",
   "8369278115345694554042768125052559704443465113143355106388959180305460872877",
   "1"
  ],
  [
   "18022759882454065935309848488460880217986965457653835198252392363897551823585",
   "19008304768635615117808324018635016282880206243189036554216256116172186040788",
   "1"
  ],
  [
   "14242877197850317496218563043485296627607326788511234243999828951735069973497",
   "16609174802465179231428220793302363782907877666243423276664202605668563440515",
   "1"
  ],
  [
   "10443736447362997608694586222281250439672359609755302006855935453484432588281",
   "8692768200275777656389133610043080664420691778835435662962558434085862560115",
   "1"
  ],
  [
   "4688998320826362387388315889737943013400953709520481965447902658509727918047",
   "3210529054344656893051427465077527412445316238633900341614506431359147025553",
   "1"
  ],
  [
   "11974231124380544756496117509566710038551766039744736069595279158393916625549",
   "15876683324695103073282285606127155325556014907126629361561920710250840070836",
   "1"
  ],
  [
   "21491611080121828413595121351825462502849585726482550987591132081392545015226",
   "7287008694291712777718386958531194588194388466451975667789982319985924463207",
   "1"
  ],
  [
   "8091286407116109084953852305109794270123712369180562588499489350506144517651",
   "12466355577116021093148122630648994930762874357419383756850157818868230733910",
   "1"
  ],
  [
   "1487957556086419043123981875194528785923231986532567596150444220978040677285",
   "13060375865809040070622279880026768282142021544757960064658984437547109525569",
   "1"
  ],
  [
   "17730235564752500501079777161133024342397575785537876696312420630604969182448",
   "5683465031169804016306654985092965332358503708932304104232432536478995662079",
   "1"
  ],
  [
   "8022031766144342915106611886153875373528189223620313456641643710459315699089",
   "19357425568527391000403538694865961525982289928555969578546372500925002639529",
   "1"
  ],
  [
   "11662344265976714496979215126764772267353039845647482179195635242950376781867",
   "4041112462122137849134459584538070581626602286770083014369063024471847106121",
   "1"
  ],
  [
   "149834378396447912968132141117101724970768718738818632013752015746874545460",
   "12282161758984627706396925614989744525199672962062075006111337090502862817503",
   "1"
  ],
  [
   "10745017193573665725873313796852462612676645205926505405668577199568839879820",
   "11877987418115536322083141944437238650475219041213640191809889000992418574366",
   "1"
  ],
  [
   "21082023554424342634215801235190000205844731896901227109939407058638014165695",
   "2612247946677246281436591500935578602581601073077387376401627448148517685514",
   "1"
  ],
  [
   "16426624752703168828562154901566765054020908933095124468370546121055960416741",
   "14808132680322502050241717721204534327645715897477791625145834505002091328419",
   "1"
  ],
  [
   "7310573966812929608002743594865685703488004403922575342907981227778769071047",
   "4918940012000040456840845483690113553489641965980324252852334915603910190434",
   "1"
  ],
  [
   "18307397127602492316812618442625486555752227462239168274931440092948391853645",
   "13895159585265579581650187340706946051025566275033684065934979974994933255685",
   "1"
  ],
  [
   "10660933259546478342333566872392492604305628202317133602039975648106971745435",
   "3888202969762282333132958065460762495569384128077932531826070162823961466176",
   "1"
  ],
  [
   "7012098416178176322048772013903672267340219556796883852902843978080818332253",
   "1300558525733020652729085489450937469892937034628192149120817751264909970420",
   "1"
  ],
  [
   "17507338688908020730901733031659287939453475371228901054928372864194606309014",
   "4350762995147615402639284888080148017845784934851952490140092499947423214326",
   "1"
  ],
  [
   "3796910090431286521931815917393900011525629617201238031845450903388292751738",
   "5195919077328747974248384427674711455191877285732192394787234893574421316964",
   "1"
  ],
  [
   "18368293056982821325461262382472824353569250896749074188618979353640735455565",
   "20578873380782202490378416704237887121582051225120251495147252652094617915940",
   "1"
  ],
  [
   "17790348273682063552745967949852713644270343506924611319827637764269295970625",
   "20917263242321087538073406580762820006627418366314404965334975399252540647904",
   "1"
  ],
  [
   "15502173990752614847769394345709719881627415208302514808724684971141676723515",
   "13693249320947600134811722967908173296971666804086397640333013241306304006614",
   "1"
  ],
  [
   "7224160890615844571673190081401513140517084659817577587091340097758624290700",
   "3739522679395754694299803150078881150038979112852196623130176421735474682896",
   "1"
  ],
  [
   "7311914555369394766185313642542415348607635642547787063890117271471663115615",
   "21183119043246363281069847815463637014927946150265737657962645418064096055239",
   "1"
  ],
  [
   "12231825563885303613082112517432006973013943473661272274786699212883033345251",
   "7834989731249682304533078318056723461185561439096824330066948052640750424869",
   "1"
  ],
  [
   "15366808076912457447373673440222909661336093062440671757004545893084397409210",
   "1720236051283417918665755798156174900129834260766531246382207077671863578091",
   "1"
  ],
  [
   "16277919843816420418868280454411139876668461141522424694995897116800682748425",
   "15111041506968509856232482718631023067789466191636637737293228194950584844735",
   "1"
  ],
  [
   "811518670100786075338293968068123837414836757157870450339538763310243509692",
   "10688517075015551354843233748904028580004605572069140468904400644751731029752",
   "1"
  ],
  [
   "17913076733563914218552422656893485932762784045130115225591490502091503673292",
   "7720838496250691581455083270678458369678426714123522348978343940295481803356",
   "1"
  ],
  [
   "13093559812848940692896019978665182660623691372967780546624067909759330784297",
   "1601703025862782933308276037259112990523403058815420287478456025205188753869",
   "1"
  ],
  [
   "18468057078737409722044031139092695908968064611120556200479446395511156207366",
   "5696560629557878789760709420717153481920004256436820641459372081677954502968",
   "1"
  ],
  [
   "4847400538473325429613833624124094711831158219198270754237137500500813657364",
   "19572998849985736581925536066830192464020235626049679774540149812359288583244",
   "1"
  ],
  [
   "21868967521062490937055068252010019416497570701019924966787244234019244522890",
   "6458679510389617268959172475618459587011108744399658430806055449318075725373",
   "1"
  ],
  [
   "11164777485714395696776976005528116782666099662416133887082986639906772724822",
   "2406629834569330592443278110900782059619744998042669678678660346392165934005",
   "1"
  ],
  [
   "15590986240463464173877396405605802975054508926729375082014820291218688533643",
   "12499492845368029513191745297035453316561318947893804596726403860466955470657",
   "1"
  ],
  [
   "14066293334343356364579445211989467783227859089399217726677915662802406036354",
   "17856901313729663936452736434023331263601688542713347446700375850104846238563",
   "1"
  ],
  [
   "18790213900606420112578832745578638020866727339191056767215865388854606000744",
   "21566464867982373066539028581883022940579005871846164715527433243557961933009",
   "1"
  ],
  [
   "943052766755770768574344299144536806985977737014299041665968121137606670276",
   "12538838296824105142785474257053658629772010146732999947320307693180045629449",
   "1"
  ],
  [
   "1394625967149175647492506789439011412569026780640177079525257699741504876465",
   "20030195718723690517956504998000201957749162229597281441439907286023978547340",
   "1"
  ],
  [
   "20785108166064695952999251209122060392353962766939000399041233258644260023451",
   "2063653829180232016741927983139955712791589161817957012152382002401316172816",
   "1"
  ],
  [
   "4401569052825827442824742613583058215671290842681797137668053691181336384023",
   "11837211095153126110003444267416417211205531661146126923692649257468220742111",
   "1"
  ],
  [
   "6281671468609849911296192178201266517331333553927654081218073279061997670669",
   "20760808772370754518539001615614131774556222412417133502257651014636167336109",
   "1"
  ],
  [
   "13179322636067876236064900433088616649674953649087546759755482778569333139635",
   "2883935617896233845766869417287674199306750858938284046657422763380668808155",
   "1"
  ],
  [
   "15850067367479923664401467834568081397857797703561509005333901655172112569114",
   "12526032943789779686403311197559978484233766113852588365057888678541799721761",
   "1"
  ],
  [
   "3172402558721103652803692537278886951214341238430293278122208398021637110137",
   "21133323160438153088289390818632670261857923168332433662039517054196332166652",
   "1"
  ],
  [
   "2842427279344576397774515544710144469335097701860302049303622963696804793846",
   "17851608091167581039129891894014707839306452259011787758974011221051723532674",
   "1"
  ],
  [
   "20037274550199823993376355031614675941358850013579509146114971942899867968380",
   "8473844024624005045506626656654045931286169921468516239909540910027909733122",
   "1"
  ],
  [
   "8009187814206496250334778674613484199770100159580819179500052288236555566531",
   "10733338679647370126933905544670427099089334612480420436382265072671640901081",
   "1"
  ],
  [
   "14924324428621097621334615052208219579170163594430315493623320538079340099456",
   "20836438898410956489581755986810818241436369655948418687162000446698311189064",
   "1"
  ],
  [
   "1339698292606141440413780076539532034019812392859346803361683305766437958512",
   "9281154664203829949166268558578115542897603446388350497322074394992372314789",
   "1"
  ],
  [
   "9919433536231361053534184954536716474067205944365647021789043107666892850557",
   "4212646733898859753296778983796128354073818575213153557713807925751896612258",
   "1"
  ],
  [
   "5866976257849220972671822633596626127510922339492761030715519402614454540398",
   "21044252929830524512542966674007198276773140829945294528717013182738014064059",
   "1"
  ],
  [
   "14029216486091505186158637754865762730187101722394495575488141512137216986004",
   "15302855662145705594164048335874857144080359866252575250140153067101575931559",
   "1"
  ],
  [
   "3164399619927006113834801411907237508682611422510839896103074661823800989383",
   "6047612369340979741540523734107713571422575022264145818884318277623548435897",
   "1"
  ],
  [
   "20123842637242119368869046302438734325052196031119627675936106240785097842563",
   "12875608924721412783618192766859658089879992614671089038629961062887712788092",
   "1"
  ],
  [
   "9888641911079308478441591091528502537323650578262010618270080596306808020783",
   "2822598725185631029534024611310031574891834533950681827419436951230726124911",
   "1"
  ],
  [
   "11339454920319003791544793234718455109170357304281198142872817911058009688343",
   "7617873004469356018580069292453429618507811982769851465095326836823239616872",
   "1"
  ],
  [
   "18169719099116717983644473717689340153685860961126137365541784770475465107150",
   "3654460509623135914919943943370799585418263850693381308007247821812662569464",
   "1"
  ],
  [
   "11470376097863614380345793364350530085575586244271975680966681432827543814945",
   "21646741955542044463099041235438358189394277359782174832145628223541782193107",
   "1"
  ],
  [
   "2132665893512171533650768712239787850123196702813749388827733618081612709593",
   "11017138100325095095043600498205856171358184096238508639669322534333410906233",
   "1"
  ],
  [
   "3479712203183533425039512068489500855181707898668566683382736067868564933399",
   "6065294060224399483279811241974264472125469878280048762779408791908037506963",
   "1"
  ],
  [
   "12051914472511553979153882423795467452527400898840966444746724379300532867133",
   "2013994799300144662063599151587652748460374362497525901430307982919416439398",
   "1"
  ],
  [
   "13408427555500521368428360014651360369885112210737208455953827811802855327031",
   "13252329736600458095323309776142999363647911314584352533678566418254054698504",
   "1"
  ],
  [
   "9253770946644583704694802615117594314420792172611823771437179970687573115272",
   "6896833203409898225407851036307267027980020781516686412109866019629525482018",
   "1"
  ],
  [
   "6645322302568177119169390661365560601364916039358203514272419319576115718808",
   "114158498925813385311997373017781256011908512992873497972390303480279468576",
   "1"
  ],
  [
   "3802711766728395263742064317156713168878333336414210593831839915363386714176",
   "7389155633529535629978227179420791145842777789712362624140276330582913978287",
   "1"
  ],
  [
   "10632894079972304901673631751655695766306189902367579438851525145418088479216",
   "20815194024516487874958947876157023103467137309295286816510473777410939152075",
   "1"
  ],
  [
   "18989121237394675729608003379737597559411053835718700407171117146682433790885",
   "12455876533451348463272336422716677924526044209400259661262835904963906572322",
   "1"
  ],
  [
   "12066384912762049147886163391644048302044568982546711201384015620388410848420",
   "3858673116136350944818866487314789528543113805375870618249518940197756952222",
   "1"
  ],
  [
   "18510010779837736509624592065557383038405265761427462819449951666109156932076",
   "20150069793352698671939143277389483495495779797860246562402801352462679704553",
   "1"
  ],
  [
   "17976165070300922535532769457017545333359913788677415108432975007989138880724",
   "21222989375465860455662715335900887504848841320152262624925044671354845253971",
   "1"
  ],
  [
   "6687878255213508829356471332830152652571466313385376559682631231258561182420",
   "16072508808032810761145329729030408887819054146015366737195555870366596677541",
   "1"
  ],
  [
   "12495827593965282750601312841845812234862884619249279601611825990544039212472",
   "14766397687046580108392840416981523812986500515601630371814565967752168739755",
   "1"
  ],
  [
   "9110928577674410619086972459957895207061979772105620960446487881942467943856",
   "6313228230308850609025035245220877052358606446953661391296399873626163624319",
   "1"
  ],
  [
   "9334213204944324351914701363591195365307166242984121083875422040297255173227",
   "17319578388733220639347948010592041278594108310652590660965382399365816715280",
   "1"
  ],
  [
   "18050441425045976978163850870965879362356164220621088267255859705288234709304",
   "21298452608797602099370817057648942220213055647134660246022502952895083330287",
   "1"
  ],
  [
   "2270076940214559396124768767887883225241733895204783407212310656101659327844",
   "11902256533041740680959456802933029658497254703039733904957395322377309449590",
   "1"
  ],
  [
   "14328072216475145957550858651250265286542825660817697957361164491269452594119",
   "11138299445608629329807265440738504462481027766233077953969734906014212763517",
   "1"
  ],
  [
   "1077716600859735037099762925113721145514952817235230456277175207317573609743",
   "12694417592679815990009283929007022091025363303595194711981492757299265248923",
   "1"
  ],
  [
   "9515880048301936511986517536574392117332876754210102803190496023492913005100",
   "17480012255234416820489421761944283416017683657888153464414357430576751561644",
   "1"
  ],
  [
   "1407746594030977811088818931613213045977859994932247573400802428408519214707",
   "21660697872300590530300570205852487478995068881299239672846415239599743577834",
   "1"
  ],
  [
   "17258192404296768901578670645275929562849964094680488693236569011689921912261",
   "17235827187559479231098734848148334441405800757815650417435150333103026555375",
   "1"
  ],
  [
   "10782195183454981319390772558164327743312068654383781744535095507197188692570",
   "14789743611601015322775763609362565369011783039437912764843090590156204479014",
   "1"
  ],
  [
   "21590853472356075023953739891330814712804708503454409142117076855192573141113",
   "2067994883499577539605416961677316613022988503963666530532750301922333201366",
   "1"
  ],
  [
   "16615163869073211844787432226672588276066957933992543882940474715744865996646",
   "18580846249423301482869732468459311850682416388881803154019761884878189404832",
   "1"
  ],
  [
   "9677985795998288779035132379281089326854605796808583601412691124844654867490",
   "3933358371195293820511157983231516769554888335903516054041755940418324030141",
   "1"
  ],
  [
   "17687499372615798675903190968180084942286312559952378859019359864249009311139",
   "6253016206729952530523028663944172872967115690350506617863443049146416383715",
   "1"
  ],
  [
   "8130720815532276555038787213036773077376794351891167601485691315227116299206",
   "11890283160793159383595608372642819152487031439786898436540728909109549234725",
   "1"
  ],
  [
   "412279211999975832556718717052332936522562609494525761544648510507158865640",
   "6029432489180358037496828558588982404483834343303134681090436055513837680965",
   "1"
  ],
  [
   "4508853380233315669920782814853892619628542512480824568497257243601768790245",
   "17178832026180404399662190488202072897128097603411213610407442812564300880484",
   "1"
  ],
  [
   "7133205509963665212148458894342249569477102461450891275214649127169763613968",
   "18748997093102599535012794531331230807051413400438794874172886823829851669405",
   "1"
  ],
  [
   "16615554167111380234646865368645031313966283470892558489776308810012286326453",
   "8130216812940156506829877545548902987460486650595921138977535910494010163183",
   "1"
  ],
  [
   "1957499532592380924174900772790425606074624152144417380894042237040290855520",
   "15480052780557768506057874152249512649226417033828296031588910067016405050335",
   "1"
  ],
  [
   "3130234012019289910638293673464769072190859781572222521122302462130434151268",
   "4385576070752617485347056954300993721054700230832239137921421598581707100980",
   "1"
  ],
  [
   "9896788869745697163476212299007598498020201995067764798028142800694921173156",
   "9949488535935667349041388570883592076305778741609734573365081074558900772629",
   "1"
  ],
  [
   "9883320662528937962872941814045325693808614717891049118620722836938497296060",
   "5582328512288830327749670973370323010640919240287350077351829364820523239198",
   "1"
  ],
  [
   "12010543715428085397003577081328766485033498300098061183905716979106077540648",
   "6331283969430660065144228572365623732956874272936086727551036796123924849636",
   "1"
  ],
  [
   "18579820072094703170500344659704754806785171113683305793949928833092116354249",
   "19558580103083995841933258777009121601951034908039059624856370302672634982486",
   "1"
  ],
  [
   "9187060497136834904910060540968086811702594340385790488404419663670076194143",
   "6827951830593717689099003549821934873794596479367333220951107054916345311046",
   "1"
  ],
  [
   "17283895809472233251020266081807253573576777673279848744661530154400577513700",
   "4135816804463302338270870461693180248772374981608798086038486869249721220987",
   "1"
  ],
  [
   "3187821431560734485759435370201856636554720663195386278410225198599199284173",
   "2107442017090522109718249143144678874389365990155805795168873520775420404601",
   "1"
  ],
  [
   "3489136353340071820146189369499820557419590330125426200304334853685655568618",
   "2289457827423334581018601652596800113985807263834061921708316217631521674258",
   "1"
  ],
  [
   "15179108791805228008554030621939194217525245528848349321390553235099021980068",
   "15703748479756965193478777785840273309016209673382933861389697023285524630968",
   "1"
  ],
  [
   "9953633869498994409070760560698045922167519037205327072263329388151995224874",
   "5480070171407198689667459695796392337266915105573922983500801875569873375106",
   "1"
  ],
  [
   "18882090647627957118797326367280560875712856370337104563818525012023451401384",
   "20098942971518004361660919226551541239648151351614177310207680751884299107143",
   "1"
  ],
  [
   "4336824375964110123055501449077235519744502967736614797959213096840792279315",
   "11478789196252962696980579198159411453255495427343515896275823371088673263263",
   "1"
  ],
  [
   "5665831661616995849901101367997185983211544399962646704056940404415642195162",
   "3922601290618122323274641314378235935252124238582972559151790849065548715414",
   "1"
  ],
  [
   "10250756873091316530148095346138839472360090323032624750830832147620295077720",
   "5149406332642059688341737563864534420882456143925496292278427887886042715457",
   "1"
  ],
  [
   "16908161016775920408571795725252717742124620417082187667074862675211379430943",
   "14888589352633969806622891065350884653441173700374629997635826824870670217274",
   "1"
  ],
  [
   "18104310573498119562448607891284334258556906211609745773995815119620062303383",
   "7803878141512042298299961800197598739112142577724090520091789748484018694281",
   "1"
  ],
  [
   "13667543756896204108488604586872944777657213005621864669264667492016189520849",
   "16465079461295557050406310936555482420029198721291324610088167918784702045031",
   "1"
  ],
  [
   "6530940292542565787144911126290284082535575500613440683063715949953584740371",
   "17096223438748979315085530115007322187660499049428853263409670834461056245752",
   "1"
  ],
  [
   "1497795205217806677665389117725345881570354338018285721052508748823243859907",
   "4630632695955454016998728205831105696045642652163925271933435124328882484207",
   "1"
  ],
  [
   "10632482173340120755425991552797151752907680991097810137086005973763608094759",
   "5732495161615198754055122294994400938598259054553862686184546876779062689138",
   "1"
  ],
  [
   "14895110509088250103912971811468445459941660576328364459177199722005698993120",
   "9597736171987824512985590647504644088437835949051613985359048568759177628685",
   "1"
  ],
  [
   "14581069318877532041244991780352580780412006841466771845692551991104987103600",
   "16832640156817581485180426441941952108912483402556411763826873236990295204204",
   "1"
  ],
  [
   "11647762971769847350118661160346829775560014158335531467112470131142534893312",
   "9931512462215746356384885260143587201660396669863853041572478653097893091932",
   "1"
  ],
  [
   "13710342105855680392498223190775506942410981507273401935027046512603519716255",
   "3174406910286398083372408901236977594029754970873370212104592393458293855680",
   "1"
  ],
  [
   "68707894481310629386133774348029265668279522893341323886269734283390446112",
   "5752229999993008702913523304670237132351331550887013206874210735783326299329",
   "1"
  ],
  [
   "10978747590851975450489736005850252732429560376069168574729764732374755330460",
   "3797656416691934078638569519131125575680778417274179266998234226041881200085",
   "1"
  ],
  [
   "13216705495397762166477076638077427960016531613036638365188572060335884685410",
   "13848471451628800956447416944291942841254081353281676248059938459836152943832",
   "1"
  ],
  [
   "17807377652495890728512568891183686005645248777568409092052301979249301648762",
   "19901579967201229886028794237010241348435590550166053809064718751815403857906",
   "1"
  ],
  [
   "17600734427331819306796480338665959873032975576417299961253767582704337937517",
   "15511358823406561955655485928163056191270013817455332622617415607872974313338",
   "1"
  ],
  [
   "19617568111753751951231423530814800764779861315114523052268022283283698909788",
   "3723404280487376518401525884942536962005561384659871769985946883193310990706",
   "1"
  ],
  [
   "3273823260520558833311485319179866338143823845382946016409468841404361437257",
   "14650989849160436347389474759944100025678762511851655069048593478257948199784",
   "1"
  ],
  [
   "13572416213407780738923738519848459758911357209964078484816527737646429810993",
   "886239676683175238181182769456109382367934477382637743628982269471836942783",
   "1"
  ],
  [
   "6400118223055755644978133187348444012424922399026010257412499749670946720768",
   "9740556135260616185768366125762457264312245951908483230024937339185699210625",
   "1"
  ],
  [
   "5209417166871631384544273762790687408679961823759491637864458347965552044706",
   "7635045645418683268181684955328867666267492242894412859965393285397433246882",
   "1"
  ],
  [
   "2194105488143802775447887105563938087250648761821245022692621144626933128617",
   "12479164800118208076803247611899645418146959321276840356719912236044909782083",
   "1"
  ],
  [
   "10553781427042168672342690193359242676438043300286068002352586940513361214263",
   "2600926873580817570955039847535308726907952893567611556403304780617535351690",
   "1"
  ],
  [
   "2872862997192354078974138224286521114974696352151605142451759439643695481470",
   "15076716189780319378670207071439070983583370013048402881701370321118579859783",
   "1"
  ],
  [
   "4928283091297250116280253517978300465309310745441733375003207250318445781442",
   "6441523262947665895467061258217895921172803746092464520803118094555617341651",
   "1"
  ],
  [
   "14977004473194569205633558876798462914866135496429312194918036761804811424404",
   "4456152683064107373664250984864609546881111304513741900327788687755476438987",
   "1"
  ],
  [
   "17025352003400096441695465102549393235869156045734566544263076813274071242123",
   "903363793993157823890361374167933857966681003075756311436517253000793694973",
   "1"
  ],
  [
   "14890214168783369681767206578267081118678311265429166739720527765726241951462",
   "18103053315317548144640883301226181036732996427262573262641124840322147900873",
   "1"
  ],
  [
   "3265122415972582068196312747544871546627805974459674430574001830108219134762",
   "4110936289825061158757099127976456310917072682496058260318567802722520470160",
   "1"
  ],
  [
   "13574987188695354607786381665655557900031931081616653007622867065819267592131",
   "21727204535494590594545805624652901419163080132507602720832838939594265464035",
   "1"
  ],
  [
   "18937159323429719633253153019611821538757896100916543824676750387496437777037",
   "5663968506707568612620402701529147495046111950591241318969223382840537855957",
   "1"
  ],
  [
   "15027977809310463153816211233818662613347161849029402467632457687223577914817",
   "17050901382068758654256867752871584741314500599510010672435485144257781787936",
   "1"
  ],
  [
   "21077143964932933945362452876938075674613390201630249865967360379495545967228",
   "1772953310142135447008002116808762601135418928528815190049433378168143028478",
   "1"
  ],
  [
   "14477451359072930383778897801033295885717872371659351190758622662186985964013",
   "5538972312221211523315839475500034930628568322989453426677155452487263319161",
   "1"
  ],
  [
   "11059074531433606123445748032227646384503680037321094802548590083857153844935",
   "12314576498804683916542010525088531046001555376787494640020671637435463865595",
   "1"
  ],
  [
   "13851023365690202693590321796647213795203277532167856766492168575339143976505",
   "21493493763722389573671502821817172141233663435472127274247025200539709669861",
   "1"
  ],
  [
   "17398944202640794523921955986276446758368360601297785357449825262459763220896",
   "4031337688326207304124041037944702125497851283053555603361030969719358456143",
   "1"
  ],
  [
   "2844284759491298822562355256040359833996243122552856206185944316842222195389",
   "2542397550909668851303691118056107579393460396908366011580293242722957999036",
   "1"
  ],
  [
   "4402001909320021371169601106572614061782044748718189023916187039429412086812",
   "11987227867349560024476826654728539704306552399742034280068164840087788304072",
   "1"
  ],
  [
   "15736238535328428605163103158300320048584510187742666370550028696260369334962",
   "9645135602672113323918435359834385127515490157123528995515267679341510548016",
   "1"
  ],
  [
   "4666693599661170869859443455383200903440067622930020423498750629360061987777",
   "11415322487198625700163027781066365189204728309683600689724168691405085667817",
   "1"
  ],
  [
   "9626576670487386232653166230356902662821228612747584092604507510721900347638",
   "9356773587555470224517338010068225542747170833033832710643824108546733546837",
   "1"
  ],
  [
   "3136826989802227419475078946134962973472844117438066044749249390799245952450",
   "21112152519573813088331259994398323353639064121451412197355674581454300151920",
   "1"
  ],
  [
   "4057650529000515327407364831701197363418424849656396535749849986003791639455",
   "422644116984557075261051970484108810997416931267456120243700769528192982251",
   "1"
  ],
  [
   "15508780852428441857547598312588712958012453125004034425144980461995143246279",
   "11518389881202963069908761253784999650045785931443698565237513471579452944948",
   "1"
  ],
  [
   "8458011272462172432968598912349373545534665965390793581625238551387810884536",
   "6570904141894206807117245467349852731551185412787248037429943630385022713984",
   "1"
  ],
  [
   "2438326499197922246301941691379062431145368676699762759952183170585832587462",
   "15529436768663520389495738779249194591607997925123243639785635056983069299687",
   "1"
  ],
  [
   "12765788805996365876986766759333767596593849276501081092874722146636733050165",
   "15714508308338106596307540628769097300257103125979200155635335564061650012700",
   "1"
  ],
  [
   "14249620916932069475777516587180806541212722294479531694488997436000405608180",
   "21537199799709566813942762389186394147179583973796822348858834588270621611585",
   "1"
  ],
  [
   "4392685787388628327128550626709563830445238542098609165478159666547965817657",
   "9316203447785041684480371488559436754659599671154989592057493442645166449906",
   "1"
  ],
  [
   "10632976745973438332234708138454330743156973251314763309260940892419629791051",
   "15490109046946787994596353061582260788761293082006431690353666265708566736794",
   "1"
  ],
  [
   "18072225125113806608980321403525892809944678946365718872658721048648078938075",
   "21098428983788906641854135669489101196680181756919497998590157228130199462130",
   "1"
  ],
  [
   "5780070246661524703164761755467209278936114712037144095516828082559627269430",
   "16629993773429266215990803743689531374641500135385596040890916685195217655270",
   "1"
  ],
  [
   "7253638361066042084037667958119875228328318715466553647342936745205404306515",
   "1162851403595582110182140809787309920111083881116331868986488938964226815877",
   "1"
  ],
  [
   "17383067281051004500937045952389840422168648331520755126552492725790646787723",
   "2025490599685063551429367299766904721469153329173598650500056674301353359117",
   "1"
  ],
  [
   "13118017463383292137184615315348206363050402748397813115526003734522203827076",
   "14747262438209728973996272268774478985306603771361716008972123415777420896020",
   "1"
  ],
  [
   "11450072030649773860867898310869777825278050525897742969573201099668456647773",
   "20550184668519911887992034107762041571631291808395111119095526739028422861589",
   "1"
  ],
  [
   "8280504722371510409667516309414511140046006813557832234617712538869634011687",
   "6826089396635971420997217118363556718872751618192094349155124835026219216985",
   "1"
  ],
  [
   "13153381476993631482235751762922886852285118506575145234084444966678014158412",
   "8033991084127083340341117608975548535579402948965500402539453560276062439671",
   "1"
  ],
  [
   "20413860271521486894718012806508500211024105274679654387036579929611414533430",
   "20335278325299750863082586125268213670312612431695873119881681613070009519786",
   "1"
  ],
  [
   "6403431810453580931321941935745354148288307014315693312532384091467532544173",
   "3228566460332792532549405311916397664305122076241639000766177114791081413044",
   "1"
  ],
  [
   "19818824025641599462702443606711210387991213599354040818552196611886158054389",
   "13585573621733053388458095808950484389414979179088346722897892096778643437766",
   "1"
  ],
  [
   "20784520526090084979668459049707612699646688700939678324146827345130663685771",
   "20067490162008526753123279544026863492998501551870019722244835925024175503302",
   "1"
  ],
  [
   "9699294089550420839150630206823021442759146648511011486206476875892839359412",
   "18203519334530656981216252254843914788713859089507448193135054900920970104817",
   "1"
  ],
  [
   "7055503854571326281089482138080939638994024923306103081761951073868427854608",
   "19535330260902353566930328996486677103028604122970127772240255089538610606433",
   "1"
  ],
  [
   "19040815493701992136693735336623664132934400283607455790537296269411424557185",
   "5257090988881297614790689693414609107604272406498827478098830789685794957702",
   "1"
  ],
  [
   "20169560846472588479543213680694641189909363921531248101617498416494561901381",
   "9444614325582467547128644838246544767166324759683122404701193516788869271729",
   "1"
  ],
  [
   "15779980502307593431264758543550893007835162188019322973449340629040150536128",
   "2927741155691609026768906647188278981639674386065565605808510987422568369547",
   "1"
  ],
  [
   "16087781499390127314465900847810095161384885368149306802736742232220231294450",
   "15185830181110739741276091285431251583937891933776601222708563851393984464289",
   "1"
  ],
  [
   "12809116127476058948072938695393434035340286836042765648531155685749818512817",
   "12541038344312745362417851188545955859296778019842420840495339472458915311411",
   "1"
  ],
  [
   "5673887305604224272966360878441016219492214940581469984496007084246521368450",
   "2635253323322909955504014942360634558917938692450608798107272096782554033146",
   "1"
  ],
  [
   "29506416715660776077969604297353627806477555308382285277183804865212807977",
   "19235604259252624931625205110124421691325485308816806466415330189116029968240",
   "1"
  ],
  [
   "969201607297517956748144085059920728404482406779541684961508553642525939402",
   "6343436633755569993838675856720270161817647095752354770739678381528297487497",
   "1"
  ],
  [
   "8408652576825774764130606789044948944804206570379787919667905998995977248376",
   "6265331171378329783109310578694672238778562574820048127484518059010312921174",
   "1"
  ],
  [
   "3862196039980941346790829711074783657325097482301495711049538772068680666009",
   "5728314205765325262605693249008889257667535236037490369918083967470764907005",
   "1"
  ],
  [
   "3402199646531303840467646612755212848623625839788479419743939156056079239097",
   "696399131900335770074646061621836257027640236017103974787786123057483938347",
   "1"
  ],
  [
   "3767927707586416508398509589884740720161003612482245998239307485988761921576",
   "14517409043272247309513108625855368728270693938904717076514562498760503574837",
   "1"
  ]
 ]
}