Problem Statement
You are given a
We are interested in very smooth decompositions of D; that is, the ways in which D can be written as a product of numbers not exceeding 16.
(In the product, each factor must be greater than 1. The order of factors does not matter, i.e., 24=3*8 is the same decomposition as 24=8*3.)
Your method must return the number of very smooth decompositions of D, modulo 1,000,000,009.
Definition
- Class:
- VerySmoothDecompositions
- Method:
- solve
- Parameters:
- String[]
- Returns:
- int
- Method signature:
- int solve(String[] digits)
- (be sure your method is public)
Constraints
- digits will contain between 1 and 50 elements, inclusive.
- Each element of digits will contain between 1 and 50 characters, inclusive.
- Each character of each element of digits will be a digit ('0'-'9').
- Character 0 of element 0 of digits will not be '0'.
Examples
{"47"}
Returns: 0
No valid decompositions.
{"2"}
Returns: 1
The only valid decomposition is the one with a single factor equal to 2.
{"10"}
Returns: 2
Two valid decompositions: 10 and 2*5.
{"36"}
Returns: 7
All decompositions of 36 are: 36 = 2*18 = 3*12 = 4*9 = 6*6 = 2*2*9 = 2*3*6 = 3*3*4 = 2*2*3*3. The first two of these (36 and 2*18) contain a factor larger than 16. The other seven decompositions are very smooth.
{"1","21"}
Returns: 1
Here the only valid decomposition is 11*11.
{"1024"}
Returns: 23
{ "96690072263727817109456077437978989865611921905494" , "79233290314037140385229147975704119591395524082167" , "26867939347216007836430628155531884377919141768420" , "06365610954378487525351370599956313412511681025238" , "16842562137672909907446584262552211332161773654107" , "14260376811856200875016101361725787269290838040005" , "96028142922009082953996848601725204390818710563936" , "26773500396954771415236987332150522010696271965128" , "32686632687770608012956717743015704972749156248032" , "40141288877806302292753216709779406694812292814549" , "87855756756508147746449645782450499022271812386155" , "67095286396800001609379846422344574536977229538904" , "76337532451937711378318452198406223039471781203266" , "98136358396467473373231619628610559526681611035933" , "83436063973998022201216911879812025766127766857341" , "46793749081932889769848400301606974999594240250402" , "17799063890822519527796321212443561200317039829819" , "57625879121598537833940116254607758209654717422369" , "05897286557642479442993937774381064692798217499998" , "96369486814466151936216932964152382164014756601852" , "67999797084915743765936026218076419457387416075554" , "95473896083149223705614558824725889390342057857970" , "02780707775897987675857934647165762190021399724731" , "61918596469176616554853906207609511305228048087639" , "10824229482017261134654313857708793722055060617304" , "79985613792955648240475663987823138489983115374761" , "31950683130856295439942280142418867306038719930426" , "26179269330204117601738078665115544831999419468824" , "43146906149033879879842988763376285019047889003501" , "31710756830436381806004504699720029035224076197522" , "92185783410228553587751535570541679666309375823943" , "56309619860227003909194090167060527273472752597399" , "19905822771088365004384047677996769815710183028468" , "00354252339930827728524100829146253458226052958810" , "13206948008098253503835448497614642881014615484213" , "35512975616062928753539300374158442161719757690502" , "69925132426059391244886513269268159585878997564359" , "72764844927492872657349215050240078155379857040803" , "06344742199096215520911882698896225894714800728070" , "38027070830483777728341908672061939100151470754710" , "84399657451263451756636547173321903134640618830925" , "76880744413061379668804208150177008669049843806230" , "41419197655363100312005750355047601061185056500360" , "42294908555869745632246792947998162267498893304519" , "80698106595539327743825321318996099228330426998446" , "59354546726954941110236316547336279996476041119554" , "41220528391033343119714826406721374590600123202726" , "85575817727679363799351284354293208144207372934339" , "87640167038996635693106529509073824912516772842492" , "51971111526006929225064574398820737296585099051008"}
Returns: 181566959
2^4149 3^2622
{ "14493559129346584162509360446925905497894166596261" , "39252146520872233237766858635263985223778884818635" , "94198001282381869975732576116523722976804211545442" , "37423565652937964627853551673291702030216126302549" , "54742164982736719790504918434882756692005953263174" , "60228992959975005496020865187350132259181072293224" , "43355275577030662350647997465688946270667642348602" , "91522315196234041293780472008581058167648638071666" , "97487692389972065502430175624148101229734561900077" , "45462460888498176403066779193984742782247535687081" , "58227157680972127806873998086247212917679461149307" , "17447340551779917778198899777526196634005705878001" , "22110572697718410438661056799698802322397992934693" , "01732003553898488132399421329058997163491627419177" , "86102835881299787306711967472095292359894992026515" , "23447731317987859220293775597252962706835752012921" , "62514967814194973481862129575964275696582417735772" , "80830176587770998557270841755390020906945290037657" , "46329973353906805189631291599213687501882963235444" , "41681005225625320380010020565980785551473328038096" , "51198607100518879799634709127666434130385263915527" , "94214209052278302452896830321675726928866932944393" , "00027712178703885592220697861620140967655685802568" , "09683168190745622017189078136434819885991729194913" , "88711365367540007735349430181798943494477966800449" , "12470247052491420591187448055287923436466736556358" , "07747598225374760415021473606134596896896216611441" , "49213514462071548287782625147302280582128924105954" , "77536216185085254919058932370067103014035253775064" , "90752454081870733557641250139355860583540340093074" , "43187595190547208328811627018107365656327265273190" , "73890356001287354239235738945912891345441403917426" , "51259895957067882462890908586452152406150317914307" , "31205664541739730134387997507711642457254293385635" , "51656650436315660942748912110945175211568697797696" , "39883202410573898582864848255299149086881527708615" , "98247865137205990931808833649797734910891467228732" , "22998852402510522893594831740037430763511186319099" , "98382127938409384230940223354684630604214104218787" , "71246186897655179770248136330967610066585019493794" , "02619647315706408055930322249599302417341317459830" , "00493466099522476548756351740901243117694403414226" , "39349024041404402640805941392722652139882627074801" , "42610014120981399571839797111274524529498340022960" , "79528075492942324478415541834587370793630995281052" , "25868022242438942222074440176780949447497735989802" , "42634419395179437453079034566035264198069161144582" , "17268552720335891920143156954229039511410814617353" , "25550097232087925582455137951342702000028560035554" , "021867520000000000000000000000000000000000000000"}
Returns: 356538439
2^4029 3^2512 5^40 7^32 11^21 13^8
{ "32443420086904470744949273883778185668607755788735" , "07110305176896809761021955227677354875333116032172" , "67893164606198698507897644217237885402926163586814" , "81874673488075365795732665244628741265115363977205" , "80888497392947937899760209518626925719142940746571" , "42575567995567209809745653242558564215471199836260" , "15403346007955808990882355881324645852983950031018" , "04640426485139050859659922827028708101203731713059" , "43106276779291905363571466305039158465579644435701" , "01505839232109462030807251635349809782978069871399" , "67373236932033394685569843140098516998987086769438" , "67662878727641968904489520554127305210573242789532" , "03895443202476239684169708234042803750199621079536" , "38939090546158606903761897280645211690754636766508" , "64691561365607573337506393362573244003426176257910" , "35322400585840541601785827721226689349419222649510" , "61202915620808385173556702685890801363091318359557" , "87413699020273132948361583113484189160991498209238" , "55264025496550058617664789474354941014156163566001" , "18159243483947317937195928977694772070208282259217" , "06465554024461293856663486651980461210719339120328" , "60310640509329495024695500499605030522335568339871" , "08279615852382484782042276600810116954374691105835" , "67735562860555191596820191680585006549355385201936" , "84830492181520580626824593652479268946419619344413" , "22380062518331957324807021199119860707296912703184" , "02054342265325849348527760936242833927801179185336" , "27485909794154452830072761117184485268997707428479" , "47399293282410419110824817234404078671857266636784" , "25065453243686539886446548732370011379489716668920" , "29576201752280640926564558098080068664464222894151" , "29037975894319547074955836845849804821957742735585" , "34866172417146259406642139187984314787888152553738" , "69812433096003719141772824269495980003558608281123" , "23590203318154525577433802328110406721665865427168" , "94735658182804745183977484627899253748016865854307" , "73099020217551894695187500990300293098511270642302" , "18048183976677287295193296117312124409511239411870" , "92335790801536547673064624686577791017384599429248" , "04407418155486090568403895823630461643361285295779" , "83192377717451508393118112510874301557327615831063" , "94841961766052706532190313449781259310942478103631" , "95691734764328663250430746412088212723147512119084" , "37386341056707018980714960299641879070446834377573" , "85390072274829049517437682790808269750001288140367" , "21463203944164204164149237737926987146397381100410" , "32451333018177782606279596928685676022295068793072" , "01955771669603958967373112677214689969914025880264" , "20482495601286687194704158836710155010738902496878" , "159569920906759329762715491538416871623354837711"}
Returns: 0
{ "64305784254373336211601859748999331434004158648391" , "79682842778365606066429768965869187822315005310200" , "30021024645510322918135024268731294892821570301821" , "38514594796545714861111216092771989254629530802891" , "73823124595099034589553227290695726683567120486924" , "07324345312132575368148879514227383126304116652257" , "67240919051756355194619552499020260345285395018314" , "32271001052424337595518552936134232986120966535915" , "20046011722342013705727214399912481676110654019122" , "17444061919555911798762659156264477404549852822637" , "50097088046745975374549934409454936639076959336122" , "95910963043157714200576927460131761536622226030912" , "18326689612927786239493981226350921545231973746529" , "32942499809911669281040540890660181344880930028084" , "14785945765779328109872969533336151749382512707874" , "25050594442829697465194591743564586301286542342131" , "05128751246398820470361745058210022762514109847375" , "43253104479900329586881982768937755791059296592912" , "01789696314215633886328736483465155556258693241856" , "02188507775304925169587173497969386329216342819484" , "57443036176371924928750820930227708475245296583282" , "42186102820222596189124561782443811749412566446897" , "96096798663295975134829710356945356871443991824463" , "22910036264321605151044255787305415265866673715462" , "17264134624440181037459898043537200180237099321172" , "59923855619798345005312439119962175000495124200329" , "71229591686779872765431140565722777848263450248168" , "75214731466970176658024517931686312654317324039917" , "40885897896781141045000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "00000000000000000000000000000000000000000000000000" , "000000000000000000000000000000000000000000000"}
Returns: 256271394
2^1075 3^1072 5^1076 7^1074
{"1"}
Returns: 1
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Returns: 34872754
2^4160 5^1785
{"93552706652674268906623348607397931902221744175188","34507891730219952859860871271398063422830495693423","10319146345905820641494865417458473622722170738725","31761678210933844346217032151719245783132173817092","91918452414186708001256835452966562945537249501180","79458492730893594285224800928045661844081426075425","23996963480889557277138741345544654305281072821860","79007596691642794666926580099491479394775215917584","76270848593633574782933819714225283144269948974829","76633402471743456208608823283504010492384823588722","52541568502751711016688689599023079667556419144934","84009791500260128370346954297726292304279497781035","71429147201280518700931524357664714229469021598225","07649969102423036900966393836114389523620644097691","43845658095531037293839325264935118856080439493066","87000123174332390842935901277020203433735870657345","98022739502590764813931448152787481485104064974186","65732045454639657088759661066551682519026364619346","34666265841274192037571805007353839886247207331190","98270848864304556455682617516713746095118763425342","92246880776951965851375245508706521483259171682466","77282836449479212625105683871852091114707466203922","88343244925298237660131981940271796598181305733887","79991806238941032669528011732961658210302881160297","38693478623286552278063923872248499515130905759707","74636415475826058466045718173649564986227042399981","20564116820409163690484860146698385230771529511864","50393268996859238132905267784357384118300595524222","51849395647174249799684860130443973594806485002339","82806096087805844966111841024950295318680683524866","81620115635834031572738988037463399720583670353830","95674563751264122071247581345926772116121719929435","51859416787051185904612337379709728224560274729230","75256117735702601126112801680760940920516758181665","35400937141971048169794880430002942976064387716576","08713011131225642953314658819675479674299848211312","92492665643284559583159188010727927774553935825247","16974788928262050536793651109105950445735014590156","34857587466793407530384781247796562010033709799066","46469260718796889408064983646251725740089757379045","11975646215858105915896728183692407572766827068301","93325358959365172506489209707549460262087933789637","42421087900601229036372611736478167153684433199591","60407571302133874929214289358934946487537617967573","95138775442611808678696889300869502911834732629269","36361120187257447423947580675018547460299609719598","37498262676626442368115290217627233651287856429112","36426236278871763220368983237651162948966994135044","88780698988027728617452217390559472796505336088957","10823718204485199834152808762155473232269287109375"}
Returns: 1541046
3^2613 5^1793
{"97752678303721433905311748999364883967415448845211","91501919723876970245731498645823947268809588858554","89725739707821339413249990144721706220944959792978","46547613794685443731231919070208689394478025811118","27881361778986486114355512812421616724532755186925","52355047811893077053473923948673523435916135432930","12777483130514082707464850543885195825855682380066","60844208380101334006200801249955699082738360472648","20853032938414325577976342013691709558812174830658","31219849209558024557164844062968428012009391379944","59472845260638687568722446208930029015536243505664","33787703189875694503588920846992310305460768669194","06949940410939226824796840900816257220804192638500","33210341324060141722228285827644419487081453817978","62721727756913249547851763374186552853955943624488","72556165809700142628891123740138148155892200994506","66927353544027746312964778885859235337442123121002","23332424480657666825915017423204306321326298141052","45296125083500897179506823039200856186992425656266","54682202758921903814847248378722332286465539710679","15415281458249157603061914234339157700300254693331","21039758268298416767644599643084169723456054848072","50676166247034959032381863739868428534160380007206","11776737774723111775577808047327288748513520199309","88327970600016180329255321917932031507899747557689","68776730843566348445041388316094175857433813317864","47186894540142767026178633469357102684295214157832","73668897942890709918531407872343460188466223159379","69581046206002414928690388304217548587037594740310","52669300524405015695697624413705171614828330237950","24498805327366220079940095674644549184037356009933","95806254667105505752384515126395691047128969044565","83932086296010096193510952331515602352667609582432","02805021518998611721095855905394532705415587897032","26672155660069728008931907203306385273993473867118","39727999827178640462019964739955523850738792145493","69557297063860482158362524099008719813181529693562","04060884927759681409028105337029021027071700805212","11382675674852197992031511700325749907145220471834","40522729604179769144008780729097640431368451154359","48761917599311837148198290601432552827644891969816","64655496344100354072647756941550891201872758513757","87224917294378870752758627063818413062323661688055","86831215489420614926556020941456312919013766050271","78027887439709224261716098515258083884771090992280","78059619356068497985812032768619776428842105317601","17636076534536266987962020820662001064649384346608","28445800403951248870514022435948137280627537657964","43801417802498302186818553542169557530867340524724","49378590497912461039932810358455430515076538302464"}
Returns: 278335805
2^5256 7^1086
{"91535441298905906303491529987384720387984562537145","01664441243853136819300505682157238911152110783915","41721153107968125951787453071277387478140032430321","40287143963166701983263742343916713863446251465373","98308432730508264775198912665956958939406739531196","25927600192470762078314004935828847392586158670198","74243147963954791257289654650639212630419546588171","47158177459782872050789666164744625682060987347092","79372465722800514893825376903680425175487114414391","88823583504186781644926838549719058708744074718613","15940666352065448183099616842123161757446922012608","88498264260007460522348546771240852404562210797951","13319078672685252836835084779254749230994020370112","40948992300395989585178268729721014190851688824753","36630977216613425570847024994791070992098706010556","93333811754072333288401762611675142537287052509016","69389876292710333485291975120648523867958865758565","55941987833269776951253920562741744426817721446775","54228500408553176090669734821951910335406795539863","64605988438295484325280498374062348669262602388281","88535608983677680044137819538440495768365841338308","18079566865911210256529006211270741808663059794327","94298940088012584930761213780236432024223622425973","74270125169339688187008004891384901214558401614309","30361274505185354974390514211021135524966903846695","66899664897342936285420909573707197431638197296827","30336842957102398481262154812963829111205167725287","23269788565165220425194527865569853049620034645218","03923634065313753431925805821525312239834905931648","36699914037459015415157797271774944641846396146135","95781516160103431612498323406878032994354784789569","37348271693644144385771648647017733189325489583237","91816959101444680714420327428249875682840562600457","87355048048077237331502449574864009485922333176949","77313141197233562539581835588807036060117542408298","05131254277073179792215940791143075927185504067032","62207667122611834290455276781357093734393751613804","53842209476148003874173597723168119025645149397347","48535491080624698573783896776925973575715658917575","12281032106927889267362682076529095502000479652439","84459051062199323975763668446486562937864338643096","65997842216248332207862890681144096326588815375812","63220750415809145437523489568755377697811350274029","86998473770644757012961014395042016523868173241548","82326095307057047768825663062550540549732161491470","24903739291056527935140397588711725282491998084972","92553518361323524207513146539776562942890244022210","39776126520599160329625823081727408551080976222899","75407943976576265088843096529856265572492978936657","49913758473594055662233718525284287121486612791296"}
Returns: 900057143
2^4147 7^1481
{ "1099197146547500000" }
Returns: 37
{ "225" }
Returns: 4
{ "55" }
Returns: 1
{ "50336" }
Returns: 6
{ "95559750" }
Returns: 26
{ "752456250" }
Returns: 22
{ "2050803302625000" }
Returns: 133
{ "52" }
Returns: 2
{ "2608530477844952440082428125" }
Returns: 2
{ "88066437615119319848855096427822320637626548224000", "0000" }
Returns: 6381325
{ "179912249686684247440951124706854622056464" }
Returns: 10
{ "58874996718084078118395017323409326150694616268787", "89606107537046800934019568280040823481958400000000", "000000000000000000000000000000" }
Returns: 578551174
{ "48061389437415997131797494069636449010611774033393", "234504834000000" }
Returns: 21311
{ "31671106211364189013678946211362156590746450000" }
Returns: 400
{ "61436969528762191326686235693265193312246931904935", "84280540492282816644065071962681902304777024350239", "69156204304098646198532119007559992323323635225144", "04095819692113920000000000000000000000000000000000", "000" }
Returns: 939101537
{ "80046795309613918745636348650934489369413765996769", "43179365441262362495543538005872811566661122283307", "67911445617675781250000000000000" }
Returns: 797
{ "57125116407008242634031335697601241680840749436879", "89950319976169180723493520364472153014871597290039", "0625000000000000000000" }
Returns: 615522
{ "167086798003125" }
Returns: 4
{ "11207846482041785143362658062058248456435635863705", "45525126250057517797259890933982274991333842437504", "94564697389867148409220505413178423071113244357020", "31881653049363533173089800182721250817641352206346", "54846622723385658233530555155534960465020438413971", "34095415187915505282074833017658833902714270112639", "52958608156662877232920123688108605458684802191507", "29328850414269712928972130719452360959585546285101", "67277353870215192806166968371142180801157757065961", "75318852590634727026821283218274474536977818903661", "16453338014241976597973163006201967605779065300658", "76754334363706016857903195808733215385358305910962", "75064226202124875351430376679441267870085940023995", "376651812265741789981453484094380129" }
Returns: 129
{ "50176758706071524952351651130680685183593674610665", "05225951813161957774714452363215862769180324277903", "28012878553915553299108028702661287703969507095501", "57232354793281401643685429987264678950139925629646", "09818961012955356982679627533249052051733895918387", "20000000000000000000000000000000000000000000000000", "000000000" }
Returns: 31243180
{ "64082825564744358770048935629255211913879478696775", "67530456208468131397756997709489956598925226687990", "34954035385155830350593038926159724380346880000000", "00000000000000000000" }
Returns: 276423411
{ "745163972982000" }
Returns: 163
{ "50035501841071428590701328914781719968719396904015", "12680920661963365931940040442575568244863865177256", "67762457075505652515138310049144674645187614588839", "34391997092765134389854915033697351360006370183979", "71486945330103361996337790324077290540154937229814", "68715397943563006370736125701683521370369043007512", "63572598416707619064170459021161289453135175960561", "90731304121591873895290755916570441319889520106341", "64816818406807740015719547141613409968086162708044", "15777626904596327509376328402723252465183459167073", "24961527554227758924564195260352411765602189900356", "00671131564061731828975635497092614263566165682641", "03231367609029986503488700349674130364081976055638", "78641713148027228333523951446785564165468492176167", "41093627616303642050532047806605256375935413910710", "72992188435565781767401132763978611917353770991324", "65877933479293632727024758868480866313995891574151", "198000208751182071864604949951171875" }
Returns: 10100
{ "60365940638925802680508224668044311735933820472816", "53250117063429410357904115582380101187928369299095", "78102690655068179194565993414843509843650863811044", "61897767524166620189113162060534249370285437111260", "61252351891496793494010012256995405370095648110001", "74513757928774039834648896125098748324512979750958", "21738056414787701605371983415437853182083927094936", "37084960937500000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "000000000000000000000000000000" }
Returns: 365243377
{ "10" }
Returns: 2
{ "51219680503746627741221456118731221305666406451178", "86756007913795965960151163290184516377253562716192", "2975813878295755227136000000000000000000" }
Returns: 567128609
{ "94699525311239062500000000000" }
Returns: 32751
{ "13824007685169914532809611378856870959682277092328", "20941561884330409739933341181302341614049124969923", "11349580612943240354434419034948895630654685222157", "23050760703931768395989084762601266581017223824081", "42060536965644312514722894162719760960995441045738", "29082274969759646708541285284990963728522441461337", "66042537353649081218105266733769264436619641467645", "50607034604796405097722463536480222235077406245350", "76610654079600238734502875660392133337847444651025", "25312310778153759757551064531699305251679337319019", "97599587786090912872184261837255685588944793857759", "40788160957695735571543074673309580798371126892220", "63061678657226675516901032739148054227219930597795", "37586853838605988534177033972675189192330831419734", "54926183544118866276456488127323922487235056961690", "03194093159319896261521898208845432808091549008584", "30383979836298382051053681955438480964137407934006", "29576576321240221975936594983118318331695980052659", "21048332982575782780095533345994683231102699118226", "81949765046591567490086912137481628448131744984588", "54997463812403618454646445872600867907380558380748", "98182373016437765063770329310166573577589588239789", "00909423828125000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "0000000000000000000000000000" }
Returns: 49255108
{ "55467089503890896691142873060618803619630582446980", "20219104028306001327221808068161699352616816597501", "273104107700224" }
Returns: 602080
{ "43334863526686802606849049643560919979768032768847", "78445515914552635368602156971343442552368936062659", "74489992494977109180734312136290586996579686220710", "61842374145952009418452107976643695586307009223212", "79185435369416413188031630227535151082463058657192", "86510986038523596175046128961257400750214683789748", "72753508332589168590345077183600338102921884254599", "11050599213387405678454015261894931354974948812712", "64415198995319420121305344346327125702366863157068", "07850565861047127395250282309049634829288295614256", "58479432648997595252183137029870838556220788428952", "06207685987465083599090576171875" }
Returns: 7240
{ "68925701698684957452664609841893919768680137861831", "80769230117010217205460358471747608119028737221042", "00078897034916632504052795613227298043391229285925", "95974478232881994314928032690553614492390782917073", "96509781390906810540271314656002055520889134130999", "89112393450284163987014925505811215877674197845020", "52896902795701419804910104783068397205373811165522", "02970075483233077369188141672919536201126078733266", "62617830343323608597056521901653947189754464544903", "48128948112813424539774619668502551388734064339008", "41939248098316161175848121952282886977996966927681", "11819333625597956635092115898611236795613266817195", "33805260323065083402800350181134606979653338335018", "21409629075489553002519488205492295399480352967025", "67326697354741976808748177219998540164225338418752", "95785503020907470266700564554020917340866946999632", "56934759038216387061481782438931986689567565917968", "75000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "0000000000000000000000000000" }
Returns: 676048435
{ "51045053891678357447519190822026917038429848591147", "68498464756755100355185564555015272698653672170627", "81754088763513231685113898668052474022788644900000", "00000000000000000000000000000000000000000000000000", "000000000000000000000000000000000000000" }
Returns: 3304991
{ "44546559935055471204716399508211524436113094979755", "61349684596218023669463372080721611199131010808694", "83186441456698573030811990897848601573332150055812", "04406282796479278344918363274939753357730396896111", "62447227280009334278066282681780481974844724888584", "05426365431270596574923899076899110401835720095963", "01193058884898403854303160385150371708800143101853", "81834474764406983360348440711804866840676859018400", "71367449220514949850688835941184349355160438081904", "81787640154009551598276402985377031906362124146783", "94240449959668691896299087521839174498064764992474", "26704489966197798306622507096717846280938978297303", "41152673621033074222535481338740900475334548490838", "57964642398758539953687597720344928785784463023775", "50222038176058929182111546340468512143170748974086", "56750458237915057841811550988154702744641240257830", "00303128885845456366181480163382174363985937181313", "57099586208236560335394788995347002641023635625430", "57358994328802655326111386860276310713557866050529", "39117843441968849661436349712191447103822558131295", "38790840044447642577174403599303709445763789614644", "07246315450478941275895986308541208779028528993537", "35728959474351864504520232276003004736395406139611", "86474045719458643515821779154920127473172239871125", "83187316648500615090039261224046347801293300150632", "53017306523733954691782153151531054261677303250381", "97780201395824073536694258424677266150586685724829", "01111245378371693000461344984380083251079711866535", "15375998723184932324026281077880759147891904913446", "18157081346317489754060017756015058332476050833415", "09009491600134620640797363102370845102099868889511", "21256203037538276968945578288922051347385780773679", "78101312334944963670006616520050870208744266741037", "69662962336823328323648185383554692589547484476475", "60035847126464227052923956956341704765436211414462", "28016571024201336634604803914212096462775182559371", "75835819819280291609067119701450875452969593623971", "93700320658061745456347119339001844029736587813935", "08152577616581468492707577799298495150596613464632", "06862283263581357746870931803153706497317640747818", "31371347174783247187923329221913828037747490121455", "83204917394590885127887488755825120233865196875640", "75757993338409540939336152058917711945480806313042", "99869300325014320091727355046383467114658524539805", "12679053282354542169377751294627548533552421444208", "26829917228981625150733413445867725934001861328831", "60861053989238710803784602775553108593506663521951", "68243098795507117200434425426117878776322401570868", "65795699569587551554612696681691062999456776705314", "16682416468721950053577529615722596645355224609375" }
Returns: 18496
{ "45501924352386195727557802066073633208497790608167", "97400708582989634555408210597098711875339609223311", "14846035576743804776814481497272635537256186463525", "08862852567894879450897976309419651700457719481504", "66875837585691821840603045228906499485218347982900", "75084138622537657007137984013416812939401062836606", "89446457214401235479659186783392852662184168279504", "77728608460947320793867473694700322151405662888303", "79431091577879424116640300823089241157092039807648", "02938641279886390130854528767718282928430342548477", "26187493545854004413443183560993294768384810860571", "75847471784959724257775248595350997793710340648004", "25210789124238574242037328506767633501650649184854", "83637048613617906824399592444228749024213831553153", "98301076091533106863231844013473941200713059883556", "81202693257476652342285459448309702032078336222314", "75270096440418571736266495339636054921062589892004", "71621029356026114556912237981607283872599423709744", "55412710727266433804910634232190251269950706291449", "98214108853334398048436242612078654572485127170498", "28053223686248024810314577698257193322185767062254", "81762913218647435618913254200093834858486587620063", "51805243243273515528212540894760942864198504305405", "09457480401339953647309686169554865789096301830254", "06163744377326956931550594592352421712931191707133", "73560516345087890625053683701368284432145709486562", "41226694113720822875182561531938304409474710233605", "66400012567213310338497066045530004585868024664922", "27007280098493335078570434184032958175127823796215", "86841975603456711607137857254451393105237731350397", "08519640518620251451176439271080863909616107998220", "52651876438167832215779350424356126844214799366065", "56210747202239009483931075368184841154607426302255", "18164325171933328305683919283880845184225905517162", "26418212490191385830048340283254393648858967330290", "58035574478490417038266580068189174990843168033453", "63996359907121683521891181484347767893104242364880", "89867045481452423737498252667089178570861663587539", "54663245260585678447976065209867474964386518811499", "39844047041051158124971575723009465811659174107567", "24736237113322172866036278128165180672651545427834", "71672952564897579295446010983246374529107115193672", "18640060152611486647150706809703806916875617888276", "71552412515396465161529688611142417504199334931488", "81249333612494722398263943089297227157253397896824", "02312021310371412854142208421629966373895120335121", "43527836215477285166175973209869457137723221494518", "58106051939405540195240828565133190783133281144109", "84700492051659972017037606771133012937203457324012", "78015144714672590708914867718704044818878173828125" }
Returns: 60594
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Returns: 22496968
{ "44495514043169413811074738075152565647262081054961", "66157843548620692204249376839545139735286354303064", "92534759265631938569287093594069412814198942137837", "51636776133052773468554430686464579498838637443503", "64209938729137140941333736574061073681202379086032", "06072700480775167919662985665976527590151761332332", "48351657265120590318731660210614032988465403191979", "61844403030769119136917386997357481216061290237119", "99204159070626509427480129510544892786850541008687", "47645518786251895455863129418090068883175357821293", "10913404296818731661711354539466354257574380031262", "22308447604489631166492164157970468288081260026962", "78101396832857492141121148779538226493819239711866", "57493618282666741117134272080815465336464558589207", "85610549610080525649682690830258066396412510984437", "95536427204179107967170624538983691083153832788738", "02350373296186881780903513515283031171002244988113", "94495113116144481551494752055438955792522122392091", "89591260341642475856478531867573122684755232584147", "34785822868446119714169768046873187809460778281166", "04357065059553469439640774985519851508067657381004", "77899944094441043001475069267370891923030338313007", "43941823834963210117149262574054973335019610837937", "97208391059421381797364729164675907764472421396501", "93198871903199227281308821290664367925499383092778", "82422339738692702382235634117299703359289519321315", "87759494595795019361691963110428232528431520008773", "32634578144079093052035497624124195377772721439981", "32773836072721717772063475738772507420698771466896", "09043804160000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }
Returns: 641763873
{ "15361087000690259959403220600134846388873925952028", "68805183329826163181453793275640394953356949189857", "25286917089832432102950289488032990691393489801693", "69953543148634649047776148292994082587109066501834", "65907893003180338036317942296876446340175882270516", "27223061898664399122271354302108423333378313844184", "78213759043733604401005095861558958773718415813122", "09340521077876379744696114889716743501211944828168", "01590554325078555662966957960777112903882048842928", "69516538571583574061719091333533188328003692861893", "04263868408736380431573165595468150251985040479549", "33481850775179605532117138030786568763959584899014", "11008481941440627895808905569275617065897360224784", "82895961101595744153668310327897382555079710428074", "89942227952354117370093532805770266966945495360234", "13929500680076531926806387029757321556816426071937", "13056743264263088860546650205509997104962754867616", "15351084383170085038804964161975334678357820779806", "23028943193467374990122759245129456906557394833946", "23948111452187466608262873427933596074835390048877", "12494027389896613511955699609760776317186660831849", "22026665206319690801588149565960098666223937533083", "29231012105500603258370261017506655209020077008941", "44897298192675661857779304760047289376618192113755", "67962403662869451024045204717889042409158424316782", "88433639993655363042081789714890343263137244696928", "68664466269714420836382952435691950263100217201255", "69665489727314313613138281323427336937732101399477", "00616612242335983126709283793019031100714030880282", "34077910772466070864166109931841650870892232968818", "22000713061972253648515144309540791408331537892682", "42222541900134117919002642951912569964089826035274", "74391045210069050333773740821075043325354633565392", "02047934855694209517101288302316663896140148566375", "99848540014360175493615082289496064000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }
Returns: 149134348
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Returns: 118664
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Returns: 950751657
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Returns: 895173964
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Returns: 183205172
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Returns: 481703033
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Returns: 286
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Returns: 490251789
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Returns: 791707559
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Returns: 560173914
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Returns: 844498470
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Returns: 85849
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Returns: 470814758
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Returns: 155966825
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Returns: 180245
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Returns: 139189300
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Returns: 469314053
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Returns: 405884066
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Returns: 258112719
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Returns: 400988237
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Returns: 59072
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Returns: 454401245
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Returns: 471015857
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Returns: 185907265
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Returns: 24656076
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Returns: 185702517
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Returns: 548260962
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Returns: 527
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Returns: 335101397
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Returns: 0
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Returns: 606206798
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Returns: 0
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Returns: 798701103
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Returns: 0
{"3"}
Returns: 1
{"5"}
Returns: 1
{"7"}
Returns: 1
{"11"}
Returns: 1
{"13"}
Returns: 1
{"17"}
Returns: 0
{"4"}
Returns: 2
{"8"}
Returns: 3
{"196"}
Returns: 4
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Returns: 983673742
2^MAXV
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Returns: 2620
3^MAXV
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Returns: 1
5^MAXV
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Returns: 306272027
10^MAXV
{"26412908827575891418402147017349390826035417240946","76954868656279740377861246401137080131692979047525","24484547262794530523354357517466745139850922064239","89440198375220646062737753763287135251641707204734","00812187409956731010957767543058194301218706135763","67690373378153266517216489807053552139738806271245","43309753740633288822741661504761796206135990327118","65583893543090202092793076736522067339806339228998","52283070615859088386194461892974898061118140722566","16185785638893974764040473812945355834093631248973","35623086189311024936671546546680954918934567343130","21204527736277953708530171873703311829011131031065","52913743076763166559089516818498389187712238654819","16639663923899559270408721551535105551553029994801","94393433480034234279865534775138258895886468280160","94919945191633287670754579786759196588768106254428","03651728367742788624412594115923191785901776188773","22429173558437689416908729917019499613903522297860","84403469129127353239703455326012364748682919006651","78336329372618835010511771265033463634451322201513","17048244816729414090609539071420525943561525236958","08241252757010385275346608237556394716456784081252","78034738109588847101026873031803004901660669775183","50089905437347158526621245265705516382714356216614","85877124318610093093299447619945341056901735481155","00958519933262759720603891403282976964933568189582","20632362396396263194637635377422503066583791072132","90847637548667190412279386145986075856173013725191","96298093979520669720914251268223329822682251358452","58307744738119516762091719043038703482961324781882","52040901535105576353341635248425660778085457847279","48178569682329455962181924399809055359105695349667","39658931125024784829123195490718496458144689951128","42204945972804315418936604612092910401802514270311","33541268763443107222466524650009588930187642578614","05838324579237615187506574876901877642591102948497","61351718795910329765820921102145105396098996300167","75825240285967696874219416743347560417432958737134","59995693918649379116317622280764026230665505768188","97759068615258513511581620265885786993553888034637","83909901527761778398610175611162865225713765150032","20465057145189802132668199645236073963704399968973","19190547683418545883705672892499648711352641333706","49100180272653549179297891548797382597399615162586","83605974134603633102113255016418628596375564774028","34766840432723513851105544876396522287787532957335","44858332434605761884114962035872662191428302845848","01799353627257464876047916056383468346160866366818","36453423777526888946966388739638265729466992039468","92146532576565565394082154428954613174907317518336"}
Returns: 273790177
6^MAXV
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Returns: 1131032
15^MAXV
{"50727775039836842194469733696601784920973529009155","98948089617161413562804817390803940530043465793854","34817659296266150876026349039968185126559533579640","74260016956711085598028769937779360390931250327994","95758702379587940563256270943561502475113653808789","32375069455041035513034170387175173575581250568000","76465214078617084285953067640576996506527390690867","41551054570390989954587125044382816046437734778548","50272289682144397341284255986245157724971469696335","76610133458717220789494014620242248771608800955239","88203171282339264438384363954723657218006490742060","54012543610061894219124029140809573872975453743813","03713863275567546641393889678445022275903816442788","39018684740973345306219350808701009509752475390114","56647336442278133606193127654453988617624645248476","30574993231287629470719241071713626800367800429353","33796055930481179851532247615471647486114728205789","07716618752203980607095949679161907818237723955404","00810594732814477637253464086298337201687739570562","60441778611080144498921088519032970957688986666637","75277041928518696815952925496094475011565898546029","71229466763296609242900350127544931096871393053381","52482157426203277324224141727531242697268216500761","12572056963529651977876199945082079234753303995494","05274792072432622361689533162681720215189239916394","49210613205854634806212725875706964470175151018847","26649833053283249785833527525856894001466733759280","92895437115063169605716901170196456018591719868308","50377042518281894203057224827573881203019570112560","00953855059989943254094491986609818770065967745225","98764768325306013998710099732553804539268292946808","23171853306061591275654609458614454568501428253640","24513606081205234415904856934885310618043428735904","19354475123790748344405371925248287002694189962115","87815019354169774871134906124837408464266516455092","82039370753439586211572294440272159123592820158480","44923067343729255854869358889553643083288059231426","49206746096897592907827040282281761619752816291586","86575598665089800760178643717600536169073905396862","14617162465316880605053369961745104274515518090538","82143616133661118678074840628937877451106769130911","58711425798420238824469826296720405348659701467897","00196668452973505136033343468765151761234638472295","30438240420761818630238175446502013476079544592131","93422479454453411414224164722058202570997593575931","96719807646892715903378096890370986043885756861170","96504048267023958627060290558339450809244951109193","06400398019970509864233489752995418291718688925490","50875301208540356331867272941894057981444776664499","34294494924806161279545337804440979301302181822464"}
Returns: 680216316
14^MAXV
{"1024" }
Returns: 23
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Returns: 667348375
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Returns: 876868781
{"44046373905573556005322607263023551734191736630916", "71750442868043599251282414991608139966068665961453", "53612857981744170539038671119167041787258784972627", "08342602280288232707443433654967778328944876644697", "90366949352204393182044864534008071990575838070546", "77271459413269522376106718557469075696452328311079", "12600200791282607376925387185219697977133926299541", "11438445822716542783333933717172269288614478722145", "59252591734550145176824645012534009775886081039969", "26550873417853023639513541050665633735769118425097", "85605173371146912925426613898960642493481678813016", "12325820395952837438075171361952278941040802230158", "41665486616201470400271186453759635868587178804376", "78050331457168575842243021162183848573315773214809", "16638130215087435555372755075267817438392722773173", "85326311019075099222911535699927832061770031661830", "10240164344804696147889964160555767147493457631726", "71731342759850906743386724346210770891082981914601", "33047136704485379472925305984212704793303250354059", "89035324630741457527631775671132565403818863707691", "13965665253120429689411957773754546673841300007631", "50549923377965728257208781175282380551257173502799", "74191268167465160016456143520653607807543188260342", "81766922503095323159462134048918933597884574490794", "34358169727811178179635556644851660620022257594984", "32148777948152684324872265191068204118077377799694", "04612277155550594479816058370000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "0000000000000000000000000000" }
Returns: 876868781
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Returns: 465896840
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Returns: 468818964
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Returns: 59941710
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Returns: 616369549
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Returns: 0
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Returns: 45437032
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Returns: 429413291
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Returns: 319631711
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Returns: 765726215
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Returns: 681506605
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Returns: 291069877
{"2026001972628201346040875777504564709202", "7822744715880055695917252487534614794300", "8488479987636854684368597609410147913497", "4470934146942684198593101775088901502701", "3354731884339454816785226347516547142092", "1898548619794005224607347117190274252716", "9604850429728633459047799045630396200768", "7114067949583730394909259724868545151116", "3860919631352229186338561607137796876093", "6609205615604344479365786764506897816431", "8452962137592264010000000000000000000000", "0000000000000000000000000000000000000000", "0000000000000000000000000000000000000000", "000000000000000000" }
Returns: 844006229
{"56634881180294134530431951355845905739182358273044", "91782369381393998322448149833471001414274960689221", "90061827147678428711271059622143250252102872577925", "28327354332970919175631616371817620615186283771841", "55773263150217387176952033313192917605688917111001", "08666401006992089481556996324147604232584784681487", "15372951469740392830496273640359255405368035602264", "76878690912625847187576603996266692852316340611264", "26533409928311430935133742270647713340624496568219", "35032058700028301176927149103172477175080132858150", "55451105949610222215744905472157291594652413929926", "46189408608226808472923508047565726812847229091563", "72098102613144838517594213338343830778834403875471", "72181142117713628686537064159194942407225068966820", "01520571526564090245659071194939279109697980314471", "05241990681519586951250820044719666603692606601899", "12345947794825625296295636425020842063748299054633", "80437383572019161913876365833462112771926224883575", "98890683088109948713231049444512219842134665266399", "65965732799846466902869119225617095426874541929339", "45879344378211502441566815289979663344304402998636", "40751090079932845617713852918849390124497722686857", "60165350450369740528038144829107267731404427529743", "26676503294518845615635475448775184922736205439605", "22061156934776130034593146059135322610911275489601", "56734184696796733798576661026441778775639561737771", "86262718309735448793625531328620941375848399086068", "78771325398434398179072176779624432228885916997574", "16642813418347439883961944818311765426917839667601", "04515715798983467722338243063141271591743606425099", "65458301646476062694888970004426781232691030873654", "70278932507069204922377214659369848579446657514746", "57006854793586261179878662790074400406616288831719", "70527918389374070709479401696969565896362899870181", "25719696231342556278842288335294233636612277699537", "11360805021135936196258799184876571811555793669271", "76663656223430710437103480161441073895718904958244", "70584574539430846683925906217524219919940032730096", "25878394611219519516518004315532326004359484922843", "66459240713657706289622351720632643344386760057131", "87854743650539202609656090241324863955925639936678", "33099603646555666020491057402916902351413595502570", "31232555383917237005693585379264679125914291707205", "48849222156805254661626777206490236464384140911556", "45272417191378623355405687794935266999246717621120", "92640301192426209659306721823206341411007271331629", "34143515159336871088311166882057375312481527185660", "42837094702248273390050950360591304247391085735224", "91267283235452091503199351828202698295723139666466", "33525103251277778609728690037348415195421937238016" }
Returns: 983673742
{"8142691694020270104888266101952", "0369384500040576357324068716400081293", "575387777341123118839349877638295815", "86939562950356992071194474217406", "5629787374084308250008180667702551614", "7081044000193427667807755229108", "1371497480523420755305531146949523590", "6783264093632886224997193311170", "9591977019517853554264371129316210081", "6096660234752724569957664056008", "7036471589716435016887005602909266310", "4020668468971617750983052650931", "347530969968455309459962989441672809105", "04704976480214610968896484682", "168796532973662104917453264036130664133", "33759815457057131760036162540", "8808474946563749887300718027830313631649", "5964288269662149090408990437", "3041118711075855274155225504598482188484", "5720219116523369729486885544", "2326742458763922375726919049609633075283299", "4759780965524129170043040", "0782949188842129699304647847679143765983837", "0367025458804968793568383", "7470958457012347397337335929855404441357353", "0369492129485103514944496", "8779395535559424074438243331564405897015391", "2419994960407760351058588", "38228218149975719925751075415799890104042", "966078570144258160209370189", "6384861114568094734069426413012619958410", "4039460173130303896878449986", "7828673640062118568057682489685611400154", "1919550756392791891800727288", "52467031702245536423231966887569572356", "282461625152442338629685367660", "20166591751953855503380046109013731683", "975296259467965026533376000000", "000000000000000000000000000000000000000", "00000000000000000000000000000", "0000000000000000000000000000000000000000", "0000000000000000000000000000", "00000000000000000000000000000000000000000", "000000000000000000000000000", "0000000000000000000000000000000000000000" }
Returns: 757154044