// 20463*180^20463+1
8958622429932612259737117797418374472162666548225299064624531729\
2768480708766406335175850377709244409347566637833055322414071167\
8366728168693829965178235289105869025260511220620005713926087855\
3467377088405501841613993441444793494921112799499620380467299288\
5294948155333104954779789540457660651331502351736449442118292349\
8384481462777495477278743458829683475526530960075118504646808409\
2732442851314161197936575715873954335720412555481765231944844277\
2200040773998613569086699232399956532452668707745976444186897874\
6739118865249534873760490851313058718337465137739882639282900788\
1020281175725752884840950785221051223305529958387491138115640009\
7732361152742871361045234355399177179542643090228995385558044433\
8184975741946969754865694336128699999290741309078475073847082672\
7940553506413302508486868699580835800257486502440132271904803448\
8955363013598437909916663214472478931514600322787407646157495792\
6674096377379187926842055166657670028861864606403832808109306921\
6960952212900676678181645534009954333841830297524862095115565465\
4353156732943538523619767543879689395391365856623558613412141926\
6808828218581201716980115092448512709185591606207673748867998056\
2434984704575933293301942396580999551652442035828825702419176995\
2925200972648740573536967930549240397035863226890301508624578211\
1858390978474758906787120668758198359938312203344122292388640424\
6057345183063072372748756923416226153263428511440677434568754509\
1185423078620073394393403656744254150863291172701561278325045660\
2760668208053480624015072896459877340344550089198228408930648150\
8230783000476400689812876842337021317298901780288391113773279622\
6679685625121415887844018998101867043529392950346980904215699904\
9542902664477219581468210430173894581293081332545768715671251284\
1928102920491273494256864653537193014101986242684297301281879715\
6680851916573033048817890534318493302187678670735379714804213831\
2273770692680530248842022513486963463648880791959795828920825236\
6191361611652493503843997900895127600358632752024400831672588761\
4579693207959848621834110745009115711855158474353877951824411226\
5335604392006923305590402158877366402733275326061927627975723013\
7498441514578605635361044027747170221257936720653385194281762289\
9326962885602296853509951118494382657591232597141360411614004664\
5677664622983735128278362578998056471358786568416940486030831273\
0321089680897573614035488035507402274862254316308436600709657435\
9115816815306230800546935404574987592730077217689151557558583167\
9353054917270972996987092515048615749640635918144324682908416317\
8471198341210839859863268382268964868298759498114127822661587623\
8461430487527339295700524119962835658642242204465404735639817363\
9748981964543710648170767082766655176577558900692966032347388857\
0427028647044725154394950457756116481211088850922146794278040623\
3418600286977952857551621202657119434665290179071563361953056250\
1851404908207160484075652847491426885471736214382593302180558765\
4458713017970690534841235084816859509843167679023726398228586185\
2316291690429403786956356595786634550826690786011522062029800524\
6121428583922130835655017310437191236743881180802558159866603395\
2024956703069213298849542655811780089199795697294470622241905067\
2524016726464656749848254141113574772432595330832699779887305663\
9022643278042954727202550567540839326508025664950284943242434138\
8104939135883360620814034223352442296530396334529278004457851892\
4383670676348942712987441008704043586116967097044812899253931862\
0087106923120529705090065806206796183770722134023511815971033635\
7152762937306239131280248211802705539887616286456857743122269162\
1564012817905157771988015353663337739784422415657189389419495901\
2475973766305629724863987255435753963017105407383640821485982877\
2774785399173935235703467575990514491675092013123530550163771373\
4337888464530960898155962925485517777263652235994315572140861192\
6808843643567953221003870466435385176372858595420078763320728682\
4331854699502756970635002525357798051559091932753792127017943684\
1263715885595887798094740799420969764408623773668751944491985970\
3267622066158690671584288282184966488759089438992839993738565547\
5305390677610113571633315968409011327060467323103907177764759639\
3928604992087515348316522147621501563467042011400366408594948964\
2772262640648082358247473317481292544019159458442221937045057059\
9129941199165760707555975155764524672349803677139431122572812530\
5366455595122420499165849216791687285919955130877653983672582732\
8519743066658642669756983469749802155928838189050206665794383029\
0990340137455889217278337283369880536216969148191985039733145208\
5574968390487570622503972935962069392438133574977581386345469712\
2521921377732851015370842887282273630844638404116537239668803020\
0044605775046346861132040283872667359749586105520271831944914959\
8927403479568262111582885852936171967095785599735672983771450879\
9833200470939514573385422562234854906039224662138829567482450206\
5390070200309522970838809925480253052103010208077733473003328139\
3181583639281652465874045155544550661408319371780000999201910023\
3069042638529653228407193293819312741548066222692697487862269213\
7514897844955368861180665651535693760031450225547864882416282982\
8476232371247073449704539013507224082104586841434164160004939086\
0406666731071580843975994186095781311350567285343494813734299793\
6889220886050856324616165043745165976387854956482264732198109232\
8639517353704099246015977037303229463079046262073642182965279919\
9630655812142995149528541967358805309264251981973545123085871903\
1119159205316358053930291883538898151756606681507636278568833182\
1319053135592059118468789743084549716515098266940933264939093434\
2079819018809563923719076248013498972913443118532243078402866546\
7273967390124777729639736265440198699785357040459632032543474915\
9595367948938730911400385710296009763850770237558848302530063256\
9859828643452343582780726951068571519187786534719825739158799386\
7471160025602420144486476442245085098069303771300729691790066710\
4455266992223902381746460381453565774644314819703509983430515019\
4102348922832637249882255547436971126917888088838015390006086143\
2395421746081288767092526009762405319066534652766777016289559536\
4577952172742638300425587741235239123999234049938923082012326034\
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8098544773796245432479037585063759008954265598093950136089477394\
1412013193388926204513478682907274227644277821595468467680696294\
0967032461295053893045014809653474886656969365279841279661336003\
0544442306174554778975441142234392416143519764470633549987202192\
0237540767234078138346504629678554741348877986047511950201022090\
2969650089814651449057878458511604514323714885765995184997524289\
9124524090291217017967750555884756613119978467600361697760178515\
1017763166787261848867361449453941308036007062483737419355506672\
2895541378200783506152221312951700695059635463346630244147144624\
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4478522100742180367364235339483033443131993427625536816757161375\
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1847286307541888196044503346744978231948790267062376672541564539\
9702055225255138337777959375877565297070263403861670737216533669\
5431054352499123576176965925927033439452523553553495379693077430\
5328610649538540178792929517497507748263681305644228304992222785\
8123890531102087436253586686280025565870060850771120195681427012\
6137217438045360624944811451301807203778080826940222584206998026\
2853067319142306160230335566567288883887508147134810709734669953\
0548039752341893563063753992059145836205531261902207091753815206\
1129072191238961645132540554766418252828353901527279569425541229\
0387476937466716309560705941708863717217329620056102659136786842\
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0374339336504777015738511532392040564712858009534891272386488414\
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7137926623571102034517660833416149152854144980813161973698140935\
9406509902291331636905902060760178344371543702015787525831730538\
7272972512659134539656660291783753509459886819454236351916405933\
0197569137476509074299537401182302485008184933238821868560099533\
5182851272547315407919353404090943506566330535437125468459422223\
4817245079628700545531823784736534565414017676864649864411414771\
7277045631582470072189623053585753180389269584386424997329275164\
5220755207746414833223068755859081264081485999620535135805386739\
2516670710485715398175664526358553759036072658044808051446178626\
4543273734630559582803954583723290971200167858147070540618136468\
7739005655861141403357316978924965868470300597954977963354931258\
4216968792449593872105615202030532280029079251957713653432455377\
9746286452043337567619730663469298585245701679946615338800972178\
2210559972980577092576646045289285257414050492947055649852365347\
4543828014394097579024687262180342270513409407314961152070818663\
1065191555836556894066306267144121784349790496808483317935193487\
4255470648038104663132608290999583750768190346925637888379610993\
3550162572249767484401460118266342918491814475358261926155111280\
2942802427644274008402749423737122297441806705588742650923121273\
4786935272414324548636826058180844554769431456230393935373771223\
8040394700171041169120632575988092207906575950387876622400478451\
9443361431210464028160080552791628777288916868767801881253953092\
5438977916471527241746818418339078349480179736312475726027888754\
8904344476805278983218988281836615638977155764144453883087379695\
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2305712284074680363032470921025893824091631691196556566825989564\
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3864550774708306966873296768121215469859312485181262285809890163\
3304904989567600863928947442103853974499883350274040587036727783\
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1172897896311489978141766776325128266027322837116037636200498353\
0594775676582846655639567653281638852771997036029845373540012251\
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2401593574051057187630318800540118846347540456781388801136622927\
4865885401834976366951330432795506860536750157183907403072924682\
1131990536105112382109461301280746244506552092915096857587645753\
8814704200381455861005026990994395156762696638598156063626641998\
0418168101541571316895782653274069554260853172744515677071947767\
0565668958117977511149669189760106887823136704874513799980521652\
1766725466184649009967202692812647685684476767179483574840374870\
5697532456367640544224960684787380293508922830721178050887982781\
4734403884465023045542104179754307344767722358202541896938152141\
8020296323887724074179039997050793444756705998363931708777688133\
0662972623428090607315177198461708493201283111655289135352083418\
8490928022156107805098875767991692574484163562301689921729188971\
5012435631594134858605979354430042719985091625975504997173141601\
0515398480897410229592304696001494172033529714134935083427413892\
1203875094029818049470463437625187709786839451610393287635932950\
0094718158161275811891577869307881923053726326445038918134762911\
6355176735764983750122196828506027970128626620330117446018851804\
3157480791635360542402467967319311438047883158687989732897346630\
1599650729261438051118385569486332173921114955676123489953063830\
9690339350346640775254604289293155355162645024022895854901820776\
6593933361131744914758006002836406121590669585785212407950388487\
9974733903826855843338217463809098535088041378081964701717325765\
6986377539126530371897806043962104120277972543816492713148845812\
4259083271536503100408459694705124943339610014665346304073046329\
4963624521677903723072160293556219607743830093977833397361347007\
7722844172861081774313629754818120261344535322105725091420591849\
2585354264995294161825740425167737227726331993809231683113289744\
9319980990076598511403133845235000714062190864620394307288319904\
7315012385978012118915413378702070225397570442687232826956061707\
7102393110851364566094634141511881750452860505419241898467102678\
3018041550382362904818694235001921964149862942879116348117390471\
3044146005759791782369550591781794987232959005148650430091209333\
1944459798212098768791527732257511056165239719479738626402637528\
4254678078362620383500837995564051912497312433012090284301852893\
3698964478423622806537222491341437078896810829876696085133712286\
7345444037032850733075115828869596288448911757852421843410614397\
3799342260700611533503042877933159344049917701990487808196424345\
3528994261097236912513553924291604003983672212386678445427436268\
4438608167917258387225922052310531938562338372215649978444808405\
3853510834530164729742053802299395669540160785574915502526278445\
2173947168387597874606896981292449145961954297969886918084854291\
6449630396931674640567465343767402137823046055008955669726693305\
8938733683624655102639623709024240647033227843129603012549913259\
6653598875962774847930803692898092132759138586940188110533766616\
2822381264230844821444141763183009150459688182133297377121493597\
6702143195238895271645165743180034740157904437455687497162763151\
6613649275424782162142976161933563933786866364812568828076333267\
4961636331864075591459567463299246724584687971613972830221418973\
4439096839506563638018923037046994425873933641904596712084162355\
3860412591092301169653805599297364851883793066766226520154463507\
2084628352331896686341763586356435828115897764189500248470718653\
1818727349740964285143960109337264466951038897468464495770691913\
8346972582371331147621630576568777976953027739227919202625927964\
0849477815283284817494906059296561577649206270343671722389343084\
9366177311331206448143227615514153156069435105651448771335216954\
2134736889058368929427803609338414624937836926028167562889763365\
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3915909733981993037664139193050490045657227071192284504096222753\
1545338322544706256734209147867540227419542220112757924632785410\
3615018206856018663550630047481836524581699086910889221872604353\
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6329367671193371887885240497364954422626597540604947518057336288\
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2964442256678503881073353441272410850674400773815530180634934579\
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2638572406955637632061667206066171444717205277077065501767375278\
1323248292495978538392270339880898098796982021385135686986614914\
0027017627049360367437688839711669144112653365198452046308734858\
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5103874935915248651878544270948204702389520817625434893722556836\
3286881685495868528395445810597852110168582946006753916613224605\
3085797700956187297492245948877143758578145224927331714070111886\
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3806349870384787606798406649565961091060927027753075740494064633\
3666783771016169902020468056294456211239586870152845345284496646\
1550714606738718461038330082803054061268455125522618615536469890\
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1786999484341564994451056684771003259418908953955715100834861107\
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6469134442195908619365695457067659445072843001454231740827826020\
7403733683418192881633325064274231443174890183391782950959570318\
9593577731383951493869027163187463029306583692718376745788561758\
2106138363798389410234669287527081742688428006557795049475733507\
4147782013933205230065295369800321575942585336593625556255126361\
7877339653620553959848818882667371888758386216189445381388197606\
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