Statistics

Problem Statement for "WallGameDiv2"

Problem Statement

Rabbit and Eel are playing a board game. The game is played with a single token on a rectangular board that is divided into a grid of unit cells. Some cells contain a digit that represents the cost of placing the token onto that cell. Other cells contain the letter 'x' that represents a blocked cell. It is not allowed to place the token onto a blocked cell.

Initially, the token is placed on the leftmost cell of the topmost row. (The constraints guarantee that this cell will never be blocked and its cost will always be 0.) Eel starts the game by putting up some walls. Eel may place as many walls as he wants, including none. Each wall must be placed between two adjacent cells in the same column.

Once Eel has placed the walls, Rabbit gets to move the token. In each step, Rabbit may move the token one cell left, one cell right, or one cell down. (Note that Rabbit is not allowed to move the token upwards.) Rabbit may only move the token into cells that are not blocked. Each time Rabbit moves the token into a cell, he has to pay the cost associated with that cell.

The game ends when Rabbit first moves the token into the bottommost row. The constraints guarantee that this can be achieved if Eel does not place any walls. The game must always be allowed to end. That is, Eel must not place a set of walls that blocks all possible paths to the bottommost row.

Rabbit's goal is to minimize and Eel's goal is to maximize the total cost paid by Rabbit during the game. You are given the String[] costs representing the costs of cells: character j of element i of cost is either a digit that represents the cost written in the cell in row i, column j; or it is the letter 'x' that represents a blocked cell. Return the total cost of the game assuming that both Rabbit and Eel play optimally.

Definition

Class:
WallGameDiv2
Method:
play
Parameters:
String[]
Returns:
int
Method signature:
int play(String[] costs)
(be sure your method is public)

Constraints

  • costs will contain between 2 and 50 elements, inclusive.
  • Each element of costs will contain between 1 and 50 characters, inclusive.
  • Each element of costs will contain the same number of characters.
  • Each character of each element of costs will be a letter 'x' or a decimal digit ('0'-'9').
  • There will be at least one valid path from the leftmost cell of topmost row to a cell in the bottommost row.
  • costs[0][0] will always be '0'.

Examples

  1. {"042" ,"391"}

    Returns: 13

    Eel's optimal stategy is to put two walls: between '0'-'3' and between '2'-'1'. Then Rabbit's optimal strategy is to move the token along the path '0'->'4'->'9'. The total cost will be 13.

  2. {"0xxxx" ,"1x111" ,"1x1x1" ,"11191" ,"xxxx1"}

    Returns: 16

    There's only one path from the starting cell to the bottom row and Eel isn't allowed to block it. Rabbit will move the token along this path and will get to pay a cost of 16. Note that it is not allowed to move the token upwards.

  3. {"0" ,"5"}

    Returns: 5

  4. {"01","0x"}

    Returns: 0

  5. {"090","064","232"}

    Returns: 22

  6. {"0477","3617","9494","8690"}

    Returns: 66

  7. {"08576","58280","25369","86141","37x2x"}

    Returns: 97

  8. {"096756","x68x14","703310","43071x","521125","590855"}

    Returns: 83

  9. {"06x5779","99x0763","3354247","2014749","757016x","8166x31","70x4406"}

    Returns: 126

  10. {"07121395","64801311","60471481","08xx3x40","49597xxx","56x29330","x0483349","13952278"}

    Returns: 157

  11. {"098936368","737491635","153087414","091769249","134955109","70189499x","237659431","803863853","113775873"}

    Returns: 337

  12. {"0065389823","9207688369","2505673842","55x8x75xx9","7831162x36","5496138346","91930x0x29","x2475x43x0","1119352553","3516980409"}

    Returns: 291

  13. {"03273x86096","xxx82702809","00400083x99","42430803140","141x7174417","07247011321","64430578778","x9285xx5586","x03564247x5","564992439x7","735091644x9"}

    Returns: 300

  14. {"09822312x298","6527485077x6","989x5859x584","502773x94076","x65x19214193","1x07376x4045","950791020122","5409440388x8","8x1x03917495","012684049789","823041903743","312884295215"}

    Returns: 355

  15. {"0431729725678","9113034210361","7729x9x309820","8x5x764167889","111x62160x022","6082368810347","8x5335x0x7xx2","6xx5308495569","4776353495158","x56172404x142","3403577x64884","23766x7766325","7966x75900696"}

    Returns: 428

  16. {"098x2486802x60","7168x921174745","04105247944809","10411041514x66","4136633475627x","2753x082345656","80286178590860","59509x905533x2","11446184126932","9335610511x898","32986168x98938","08376282645973","16469165478488","9960619848956x"}

    Returns: 522

  17. {"0x17699387x6131","5xx61xx9795034x","1229078735830x0","86x468631547635","6xx052021723916","12211071995747x","339442978818580","804439583063022","6150x4774090104","41529934577065x","x63408714313418","62745457780x768","545699956741591","446016651909601","702035529671079"}

    Returns: 652

  18. {"0069630785369583","7093657146487780","8420222976515991","2631927787371280","47x2x4x149534440","2937x03212268340","14123898x96x0651","7x551123010x7x42","x5704x1983398396","341111330x128912","389x796468304049","3x52647461330988","x1918924x0435678","141x392521393852","2577503x712949x9","738954453x079924"}

    Returns: 668

  19. {"08600278x5526978x","7907434097592626x","017258x7x82753489","88896x957991x6x83","12731515738592507","87058856257x36125","80177614053283459","77x4x39xx2591558x","783046454328x7513","36813710274335975","444401978795845x5","8x3952x580x513x41","3772xx28xx682x886","41x76849821x12311","7252875060574x984","41709120000424494","412616x216x868590"}

    Returns: 696

  20. {"042989x8x683342210","7138417x2961453417","3500x8866433827839","50x898468068987964","309246648890600347","06726x661348225x73","8192080869918x8417","859308939636923x95","81x0918x8071127x73","8738x78747783x8288","9x0828081630759737","473277053518428231","2075952021x9834875","42794x011072676518","21333185xx83x96045","438000196703749466","316002061508783046","841265791x73xx8805"}

    Returns: 844

  21. {"066539879x92x061643","4x7445x76977712x736","x0464410x3374812004","552233911880567xx98","2688x97443178683571","2403435814101xx7748","74417495x1882x14467","012x1486322x9129x11","840xx01671x99882055","x35254412x59x3x7763","541393x83xx30401x31","69651524x565x4x7160","19769x241162x3205x9","1369769858438263030","73248634x8629220088","976761x154066325258","48241743172566x6x04","10x54268366x0x24910","36x846480x109675675"}

    Returns: 641

  22. {"07914752x27207x55206","x62847x9988848x2x671","x094715x965x03466784","3x1954026419885xx925","4163422282042406x202","80x7478904997084x805","375748x31051xx862371","85756557061027599xx8","845182x30812218423x8","715279328133x4581012","70757315119054765152","19x073801x4x0166722x","5395xxx672052409808x","8781804684169789xx87","314826x542743x7x4738","1092x90077314x491117","x71884268x4235185248","x7015806904391209865","44650258017016348094","2753340876515x977113"}

    Returns: 925

  23. {"06x69x171881106383566","358771595170848x7x912","904x864x607441x237712","6x421439x272215522266","4x746529865226361x817","5405886123288x9x5463x","0774x473x550086465240","4830x69x7290684485952","43464535179x1467x8118","2x97838x231x7861x6488","65934494143x027566339","x8x704448411688908954","8x5x143234x765x445651","x8x4x45593526x3561560","1086955x53781446x3274","1964730679x70904382xx","479854449648867308xx2","x96743214141126017x09","9017696934238155x2372","00948947273330362x861","67492529491867x686207"}

    Returns: 946

  24. {"0156972787069367021x47","928x9x6233070452x14828","9x81442934857173909984","2433429230x77374831134","77067600x97919577x5593","919519320229900x841770","122504989752949684xx39","899982x0411791x8639207","627478359812x2895x9128","08292xx2x5338108154604","590347663456575635x160","81510x3721796051611281","9710537404887370654402","463260350312x4758x5776","65x1832x1778014293083x","329885264557171xxx0905","85x8432946304852003468","99x6888017x29042024249","12739182447x9071x27206","687368816744751x604676","708597472422941864062x","0158915x08939x1154x798"}

    Returns: 1185

  25. {"0915131498x075125493965","257x97643x868933xx50x2x","0x9x7949x4x11x8xx313x90","39xx2x3902181x99749852x","729020814x082064x179937","631576512x0644055260811","44147x39044485x93376019","10809467583659773814173","466x8657219639910x99180","6x93xx44627702120xx4139","8267x89938641238xx28x04","x815x70878020874344x577","x2x06943555074001707671","99791801062892x41422046","92931x461x331586x284105","65665x74729863xxx4049x1","16995502796615998x24844","65075796427x81x88513064","11158321244337847014468","81606065793177043x25876","75133919899704629545880","xx968964024848460898325","36945398264402688255x03"}

    Returns: 1150

  26. {"0533130x5x387855x2532x37","664x7713824x313698565164","x6554833403147x270875380","41x338381851590197539569","6652x4946276597559x93905","545842212020x4496x128275","360x1025x8781814414005x0","951015941389730800503198","x2129471x865084462571391","2266410x8206787339210926","274x24264x51447671418829","7425518391244375367x6273","xx8730389673945x492049x5","0438x7002213884677197963","4x389140081x033077864894","648418610567x29928294534","649x47307002667377396679","591199x43206203334696187","136794630x724429082x0805","19588767x810054673893300","8x5531737024510x18043373","xx5397040212768572782116","3472105828857798344x0831","07358893951x464x7x4670x9"}

    Returns: 1279

  27. {"08881590x618x143577549829","25x8815925953x66077728794","x9186809x6477238260033775","648795x428763650043463130","x18198xxx555382x9452982x5","6x72x9159229192357371x88x","84373366342301x7993915285","8728963074x76103356968685","717144676611486034460x943","97x582079x173460534845x30","047826927976509931832xx17","356917256962043690387892x","694894468122157x744630502","8385740588137x2351xx37003","069x0159882xx0x846x986863","x512329535372177x53123037","210x353618715x9x5999476x9","5147517x9630608554225x177","58836365788282x944071192x","5135085840268116431601451","9355x06x29x39267550215024","x0086957319x8x480572678x6","858174x17884x1887x38x5891","003494478201874x901x53698","788348601x00x160975215884"}

    Returns: 1197

  28. {"0841x377031972899424630x52","x50x6428124722321275021728","31194246834485223927740533","0484207115518615090304xx53","294564357721938x1565731920","27397977x26560643142x16640","210316247441x2x59422417x42","484869572148x8x7x0x7755x70","08x443749113602221753944x2","4233x314143489397122582919","63553x1406819x22x682485788","452012022245290164483x0045","6x9024951057291732581x4093","89663358971813232621550270","8273060x2xx7630690873876x7","x0535856701457032x506x7717","84478809375362x48427035711","59074899819497646007510x28","2x1x65759x3384x62366613862","077182220402x7262352975339","x4583x7x9x6611034936966x30","98658x3484x46196xx5578x6x0","3x05876710471572989139xx37","32295151x92907815xx3313435","x2338x83551x6x5821154353x6","75522020775589x5xx27639687"}

    Returns: 1343

  29. {"08521x3x0858x02314578782558","66792x221667x87375693890357","223247201744x19945825553832","0x370x691854593x708253949x4","30x6129x46253x4650645223645","540x4x83x709120885507578531","9x499193862x418706x5398078x","x3642507081xx67xx3417x9x401","52538592x950384x48174684321","22x005737548399882256693x11","8890378146x96x6753319204875","09965x928749x574005521x292x","622312787631630250880030030","22757x57x376502877550757516","307832834x76291957028458037","x3823359x047x7185811x169792","2425x456184932202x5373x1984","0218313507605x9267069654813","213x0682392x5027882x599097x","74x650176484059x298x35184x1","6819345055x2248722081236683","843633x255x0656403702124297","13963x8833x24473967325x3283","721879294290378000531763311","392511053728562153495772164","3x709483x4751x4936417239977","9136x513605657471x903568641"}

    Returns: 1336

  30. {"086068x58150x762985602341617","9x20122897575453387228885352","x201018838880097920669796312","3057375xx3815x2x220328155131","354812598046888942xx21152562","26x405x1453x941207x8085xx3xx","209x9705x37x5901049744457810","73512077x80650x281614173x484","x46x0887639324158485702613x8","706326330039175829667x144240","50999333x73280x4847297953405","3578835121585187x69x976x661x","4762080098960431x29591527x44","959378174887995x920905535789","2341230888974939715957612812","0561374188x333564xx749x88337","x6x2440x8x146952679278370606","084774224384038344505738x965","6369351207312894635252469764","91866497382054x0815636982664","454x9294415228999999x0050224","6x58664038804566088136248791","45x17x6149709902238949902359","27xx4183496653x6847854217330","1114x86x13x38638077976152389","609367898339333836784x885251","96424999954x4x93287200028853","9368x75978x86959674275085x3x"}

    Returns: 2027

  31. {"03230x33399996237748313x45748","01807072637465142427003x6172x","611x3168741297724x13424625087","749485x42637276881363x4561468","6071997x52451x025023465x34288","272418292282538994706066072x2","2x9x8439835887528400427877039","38451x29576874250666180976979","5xx53257262042368726643177790","0098497967x512170228x9016350x","556350828865x347482057360xx68","42705158302xx28x701565927317x","56666835x094333239632x9565872","19643395782279858912965959384","82619x316x581112273438059807x","2228967269124x104852459161899","799705897xx765452241x00665201","2303x65973428253375658331036x","3120x2405501xx2455x5300574882","66309x1789973007871437500918x","16x90116x4359625446x555x13108","247406917x4357171888992977431","006651276x48x50202945x1221006","81x3x7x19346x515221x501443458","64987073230x7205x2667x8216558","7x68408871428809439x262437155","3861943345x974169823969895118","73928265666789437228901525801","9572523621930x519x63135759997"}

    Returns: 1846

  32. {"03960838620282132x6x3x57641033","244311447736037296870419122490","67597095485820209906x975703794","30531484814x490295509599861xx8","679752x7778x410x73255547354219","6537xx7279038931x0594944178220","31x5x491260072x03865860x163269","5x9319391x26519965405361581x52","79x8365x59498491766582750x2814","x51359143253951520943659054157","72478x34446x7x3801664160x04x18","31754699147760441021xx27x167xx","57316x669369029421563842x0858x","90868392530945404344x9824x0692","36x197xx618029212x372195x949x3","3995x4x567829x1234523718x30210","1x0347639x7x7553176x8x73020346","1100965163218x3835681723552748","934746938x1225x829670023220419","7625563494x3482292195x15x05213","x13942252483060564417967269xx7","35371x031524542778567159075469","926544052013738855654005764578","x059084464747465799628x6314676","0409326533687806434177260x0286","593x392234271x46x8457032131689","1831x8699164354891065617187085","658821036x409803212x9x43428213","111702295150191914994xx80971x5","x178x88933448410774703020x77x1"}

    Returns: 1868

  33. {"096923x82484262655618285467964x","1x2168689066729440x5868128xx516","02x55x9728266060x87111916198851","763103x540114149547952548x09473","9319x2408878683x861x257x314xx66","495x5x7x403926x278384x5741x39x7","x550917x7x115954908982520757493","781x86445x0270x9868x858x0929850","269x46440469369695054x973532391","938244353016924257x5423xx0x3691","87916310532000593x75x0x00909764","7857x22x36330582430330267291733","32656748x32x42x4x189236x7437674","00482x24690082x95x199171160777x","8047x3x434156139x056x20446x7x04","x722900894118965638708909059888","61x207x3443x36x93x1105195678355","4459269233203xx55x9x443840x9715","x1445362852x8862946495646933957","298624612703927x58870417241674x","60x578899850979582182x510996819","170873822336xx1800322040656578x","740x656434x51054772750561x07698","19380565500x894624489956028x19x","484150242327404973374x927167894","98x74x2254x26385x83206857012035","x256062x2063482xx4922403x435523","x323248933166698829xx2821048x34","x5198x73384705274988672876039x0","49398x8161749334574757432446834","0947326040444970142988868121131"}

    Returns: 1732

  34. {"0014235722705013x1607x0x689x0x1x","77xx5127853x76650095961379111100","14670x5323469097x693076005112253","566476834056x86775743052251455x4","62544948761111x7555431030249540x","6007523928x8002x0341369x12989665","435x209672x46438466629577744858x","149531x13386x3465942111x0xx10532","4x32407x168669316620569501xx1120","37884282015483407213627838561252","20743083405908x72015714650x88353","433x89928702062178x3868150924821","0185377791139464x60x4986474x497x","535992x9073486387x55472557333646","5902713x7x2798876892483179045315","x2098x52468757864xx3511964855204","50534365946x66x57752037516339930","x38620011197x2x9023654x1x13818x8","26974635729720xx56x6800x77681012","5675x0x53285025061128x7786561779","6504169154578337287859064163x939","8x177x9997329x640586x3x125075382","2512843x6088135642649x451x364497","421507890807404x558260730323561x","7185063628942968837x53881891x695","9867638x29478x470399550314x92265","2454342675151253x670146xx5820809","002x142432348022613x1036x7496x55","x6x752852490449690200974221773x0","9x516466029631521282761769x3x107","044851xx0x0350898914x94624439515","x9650492283621x06872992298788946"}

    Returns: 1771

  35. {"0x672246079x859202654x58838730x16","1712583589616660561344x08694700x8","4341644781636657547124826x2815443","x0711x463x50x52570681x3915335x090","5538134033052761830221740462473x9","9845276636501787879850x7675403686","854x98x068082x55xx126551013001775","3873931x93037x9492x8232616x4x1645","0816293634300164422810474x0x00040","462491788932x06762341177058075423","019x3024395026564106x73561x628327","396414640133220635010507x53x87x58","x471370561x192576471721x34757x8x8","87460512212x1640103x01928x3655959","7638322038489x3x7690582266x659959","996918991054208471660x531x698x075","19089x2214x02x225x94x75x519300709","130319xx77x828707285x751859626732","571x89831x428381163x594x83306978x","312933611x61314679159x7174017530x","1154182805x6413x14295084x96866772","17571156142346825756051x745x12475","830281697204886855062393231x51223","8561396681627773981383947731x2350","255015793145x01x42888474091937291","x0444x366850497766194977460028840","972642414x33672221x125x9375895772","53x971337x5522935xx28908708295218","99197670245x873827896210187292100","48712483x206025x140x9713684994672","0xx8006843632831160571590x3345947","44638293x6949998x39107696x9182702","268x4020315526x913573x245x4x36121"}

    Returns: 1842

  36. {"05639624379665x97301098569844x2365","7358463x89040554x492404404194306x8","6562835614522664215837x31042443756","7861348342x24405x55939683017658130","661x4x5878377784141x3694138x341052","023816766x8747500208813x4514374120","2592228675305406898485738559x28447","34440157648127441739521606x3742522","022858094727193254121382x11x759561","02945612201x3354184393050270x34064","x6xx1626856661418509089x3416645288","87935062208748576x77866xx972955206","4363027668x97449086x0x141938144720","83x844824x49931716210567x2032x0223","76113854875583x68074x33767x8632xx3","38147961x89572x111xx8x88x153496608","299051258939113606x445399645756058","3285316742164683032997018323392444","x90848347804109x48747295x014578567","398x863235927178086754x64962x868x3","1475187608137522504270434350691398","2844682290657356174461829015421974","960881674972211952x3xx856007712451","3x2509611069x54828321672x859609283","42x202875919808788468x2126212x8176","36634x935221023x864x20074814842398","7771xx11177891x40036xx14515x215x0x","8621265043035546319657x011658140x3","x0x8893249x2925056919229223xx18058","683330760644x632236815919603973694","x4266800613x099416x029597121258070","x1117890762x7947255545978929230536","9160296461x9x219x923442x38x1519652","5x4x5x6224064675049039564046756546"}

    Returns: 2134

  37. {"05853x00x915122331678585784x927x867","462232860x68897x399774564x072265734","9465219395065642283973276683x329340","1524191x9221958409594x4073990915605","66873693x89x8216930878x30726656x528","5407xx45x0x884306631032xx17xx8445x0","930x4267841289330829603565517661085","862733449130x6035679xx310655x347019","142202165240x5xx1939967002775160124","57603318315990382435885284512x7x904","143826333097114x171868735x101889512","193869175943334581205885x8535747116","234761443924268x3x3x809246699011964","3980xx8244692x4x771214674691x06x711","x34544639x8669077294432904775242147","51394x28779x03863244415950x36508429","104209630213418x12x82x7096625x7xx54","634730639211053578x9009009554925364","964566x256997x1231x2037040902110311","464x46528x52085x760487684x0x014949x","4374x854x32315x889x9x32849557467x8x","8882379406730158097304906020x5549x0","38912891319129711362220259694x39237","xx941314x74926195x70330xx585163x744","8175229x634064567282853868746236555","078058680861268972017349634x6x237x2","937823340496727284x8057x86325302631","03x258xx786663559304957426460884896","030760x80378x1511x27087442138377239","07806371463x9384928780413x300700419","33x2270096x8222259x154914701x764995","317x215614x943x0629501x992579431372","2x7x64434791405x8285366x57181726449","x30867290x81418217513822552944x32x6","209132515706x978x811x10580325276x31"}

    Returns: 2054

  38. {"035x258783329x017x28x008144854260389","3690x811967x7995xx7379559106300x8033","62660836164x0x1477517190648x7x079654","525045x98425579874482396801019834602","7x4614599925599727050391909430x10169","8477xx4x569205432749022362833057x029","319329229308579536925069003909x37986","0695x1x082858164x8x699985868632625x3","57917094591284x40xx907478983x792x010","3441409082788623251811869x5931331x12","8514x5870079360941036579871x24366104","8079900866874658155789016x0467402295","3970768x209536471391x2118x70417x3036","177078845147233x96xx5468510830429116","5963196071x5x11959086981943135387769","x159x7x27505592705961727x440837x8763","9697526561011576169x9781690313x30317","367xx190795x7975688628752568376740x8","2175973401928272905787x7857307440801","2x118668x51825905278436765x228x12x40","564431336x280744613861179x1375804223","0823783x61711690412758978266238630x3","1784139114x386x4x4xx38x751190x273649","176xx224x196032648546872327320677512","250423191664x804475858878xx71424050x","27x6274319683360068323687830390997x3","416855x4936141688838746273x982957733","0508x93x16937496660708743x2283889541","51104263229011574x55389568x405936718","13x9x67853xx41x256xx20x2xx556680704x","29856156750024572x9836485969x9793319","543909707015x9440616001x08017460x106","868491269132083748782022x78565632212","9655806646268x72831365843834306x5078","354x534x694734x383547881458304650580","8713x9582843856381267x58483354715997"}

    Returns: 2405

  39. {"04552454441305633x1038668x449x1x18074","059xxx999x36087425015x0412x0057x67346","581762729771562163910979470457x212618","79754789741734778x9751788622x32x53593","1735x318231x3160503803473380x36705357","50231770433x75x48869266404325x17603x1","361x772801425x94063170214562031345506","637549297x24752296x26x991504215x87355","x12989221519466820223x716865247133710","6x46668368143157767022997463398x64578","28x6031x17618046776366748903319208165","46775632361824x21442x2024904298919870","21356917677328x8855846184142708x95778","x0289347696245119x705305695262x3555x0","413x7685839843550682x77055x9066906x80","1x91x419428428956x355x759730519948738","7422x67303675x1418778556x089125x30x88","19629x076x2316x2019746x08x49354193388","74669798775x2x6395181x428171789777661","8xx968679121634x788403325857582057382","43042007365219x499x26461150771x904524","0x0x63363448106x5990105x83x1067589749","6394179691059999587381x676081129x1097","0209864x124009503876x972480x3x2974979","291226754xx6005693x4x8317x626x4923x44","260074149x9571x0610503070844x887226x5","080518214883274658x22281416874x521x99","6x031x2x569x72035966927783x139x60015x","9667771953207710033433100796826967427","2x7331x563x5x8x73998098x504808x716334","9x518882381592931871539732x2930427345","27346277x94901x0x214177689037429x6156","49761675172x1530512471xx0x22x32612708","381882097467331891575744727063823x283","3x84197137912xx01517283x5843177263282","344xx82656x829279983440x7196473586725","2980x26984x61x54343143694973476467x88"}

    Returns: 2207

  40. {"0x5019539811219905392911x37x4263148413","0337738104x43681x37660302253842106172x","0121057273325x81650x628508496295370448","x8313973526171014908627054082976369596","232xx637585799854933492771324867414392","264301xx1690848708x2615666132959194571","x734897942x10367015x02857471x11x78x815","79140x1899x214x1402xx2560683x64110x587","81506004276x45381172800x927xx355457614","740035308x23157893555345x3258453923311","3996027223434270818x81x5x24x23373x8555","5012x673003x8858x9401135591048220753x4","9506416583430277x9183x1882x41642524590","280691865597304526187717414142799980x3","x592613084635260x09x41196057039528808x","80637514125148947844570x9721429627537x","3299610x424x87494345326285712999947578","0804299090x690020839435407803480932329","5x265x98730x432x6258531x62328642123x87","1xx1076057339881350x1xx9x4481675146724","7748549038074805x909552x13221517274802","973152971761735294400255934x6236323626","93x9039x825760728409x4xx5655611x028589","8523580259x914438688996778172265617487","06045x111x28x00639750580x66x2370180104","3012197xx3303x4387x4x248849x1023268896","413094223x0981x377x1361057793883061134","59704495474093127653373xx07926072x9929","7x73x678538000861x7893972823006859x925","1x683x2x6123x5x91x11755x25299312423593","98378046137851901661374242806232x98070","4188x63015797345x143561627125656924560","x06x43750662x3363682429076376550x41638","6447025421162x434606761827731246x7x62x","159x8048x1493x22206x0566581x217200x733","22264xx264x0547225x44567323180006776x4","292x3296909x045896x614569x535x94218090","30545231x94x5479563x097646441031628913"}

    Returns: 2318

  41. {"08553696099441x06465x308x923x0x76126054","49058671x501414363054767x55982x92131585","x316x32712331214x54xx166210403507x64875","83996854656918x330744700x66x709x4711909","288279699x7x3400x743x277410615174826820","7542715263x05340263018153x0156286655496","25176425x581404524269314416191564039074","7992162689111078373617x3826x3715815x870","637184462810598139492x50324376291873228","xx4239876267230746x44947205408x68292863","73138351577x9x58770626136xx000092436871","241176358362356027770663x98194209916x71","3301x767026464680434x336822659749371248","20767930410248662544261x7451x17945x0444","x675192x748x65193580790x631719030598906","72x654x81x6x079640508980x70044113854323","36x35770404118x62829678115056215x873812","3721386252616884853356520596x7289965704","569x477xx112432349x429176694665x825x08x","712694549692607345215865960191731312137","579x97413515657490x340x091xx9930940x422","38740914725xx7875254142534633987171x099","095x5x3966580xx7901x369839x93294744x63x","27x82x237x339778370x4038687630262566378","2790307x79x844260x522054046294928344x93","1102362717x032857813691x17x5x3xx74x7446","1x5790558638x9x69709795889555x028696470","2284x1550xx6259656691602x35765776110x32","8477x9752932707041777097979327239255921","69086300xx36861520x35233298859x16044683","x88475625776804841262x6080x2141485001x8","504649330231976494685637120297297362617","6568203x79592x52885184349x3024033731095","11593x168198609709965x90210xx9x6314184x","023x2x9xx022350121x320990816165x9427718","30x253123999382109491679529858106003x89","26438117485623x314849x59464506798269455","x940x13684x64434x986934x991199932595262","3433441934x13x1x86453764869359861615919"}

    Returns: 2510

  42. {"0914x42122852545672xx75x335235938x06x035","613xxx3560573074536543405208479854421709","40807339247x6108x46x743717652460624x85xx","566x04x04x25451x11749464976x5379124800x7","340x301231849687863078375x57x2243265xx61","x55967287799x546178672734023x0986186x4x0","x2375796659478092x7487532558541325754124","338204570026846xx526x38577066x23x3x72835","3658234520321x1423x328x91x7x91x367202x7x","202472207x81x57159628271636263648817738x","76746x865520747114x4257337x074150931x2x7","x465359410974x74932352x973x9x9280745xx95","x30x54820364908180520401xx5x9x8352869154","5104827x354712521335800519319x6000712x85","6815955251x63572x875952x736x6x3273890xx0","4840910686xx381798497711677429x4670x5832","x158415x55586931x9357x295963x39317327184","8x3515337064522549457362294x7452033x5249","6339xx27127306751x1834x50214829608257709","430073186x981454x0x936398346852944254925","71x2x36210422171202829036815423251739359","105569781271xx61130770x76605334694135301","44x16594537784268066617x148425559414xx59","x8685182x2183097x485860x6846299266185659","012726568103165x03x90x25x762396x9821x266","20094408265109x52x94708x13x0519x4072x214","1x55xx8552927x2379561174x318851834241174","89703585x4823355x68845030910839314824147","8839686189641901087x85252700653521589804","x56x588838757209904754121713x12987701x82","6831x731x16x5x769486x7295717x48626849482","679344x197348333263x87245254x65233443x62","37726x4xx77688301152295x1198819859931556","1x789x902184924x2798873x01x38x0851187894","1173709504203x2822467909x71868843034860x","899296564x91091200734346991459879x01x780","90727359386x83947315259429388835x35900x9","2105x1509729085461302578436xx78476053216","423776413120155311817923650619x5x56x8411","42x3528x0265941820xx91188841x56232560932"}

    Returns: 2238

  43. {"0273407x255257486810563566844561394665222","584982520x2621x6445027304844x707087014319","0x15x65290040824x170259x377790x634941516x","506943212476883877x3202705141513x6x500202","81x769x715637299055744x37417986891944x312","0121126062460427x34294858128249494xxx8x95","5556043453289948534000083731849x82x927169","5993938x408435144xx0455397855650722988252","904716x283x090843603542038x344868787779x3","676379661x709553x408275699145768x57x1422x","2x56282821x8x1863594328716130728592328279","70975125363316x59116418763905554774248332","89348463978925069255211451407347680088201","88642000705x1x749563x546x823x5175978x737x","650463916809979510205x8173522369794992239","61xx522863x603517195315858585920x94940216","28144413085x41587974x60306360872353349859","x5x07380xx489697870818x825937833274934571","85x945x982584424522047741614602116x648612","66109464182713x52013518168832299805416618","63x925505661229403x8x7x546xx037x875x32174","644551198954325916020736x450739x714858342","06398055061653766008262327349843941949x23","85129472244x902757x682595904966565120x587","992x830181543xx4125x187064x946038456x1752","3292363891x0993006034572x4826527x801x1410","14660x74000179355200090867776156x66076738","x79186x25249x9333555954137217372131907939","2x33x799x96x0987384x674769x6147xxx266081x","55x7x10x477451450x68694218405671568086662","x3x6637450xx1166529387570x2x837345956x5x1","94317783548271x655214171624x3xx9x14410837","825620x518x116176187220731630426x643724x4","0074719994035030x375607x21547035784497784","5682080x20817112752x4964251902353665403x3","1040201114176x110666360503227194737494994","x3866800709xx6963900038863502624779170871","514990915189557399971181x821380498109687x","57825409441784511x7471x346x80x69797433050","1796533078345395x26049969x1138621819xx741","5361098x25423938xx095x653302129x774626424"}

    Returns: 2855

  44. {"0x34x437798885799x5341609x1776806405620666","36016568802x0982296x9467210199144x63207x61","33687xx242x5387859585964605456708972671251","598125487501410x0698x0846x04950671x487x68x","965587068265019557x84859946x4621x05x59x870","88874544837034x223xxx33075895xxxx373595277","88210144x641176745875x8150983628770690133x","884082x776058344x1610x096x12778x0149673276","2302686432136451xx40388882875x107186451376","71340019xx4x927692224x4977xx98403002345579","299245877238612xxxx327035886387262298x9x22","1674878826845540xx4768462340x9970x62446741","54x2x092183x358897x225137911261516x6237x92","5x3747524605232x6x3590264x48425119x6999514","1270449966472529890x47442x7839182915203588","84x75165048858x7642172901x19748xx79226223x","68501xx92084899xx685505709109727754xx79411","600488132xx69504726645x188021x79x628x64881","26939268031300x150836368x175728316944x5449","015x584890x778x76x929405997797x94751671311","614822853428617x191x135002x2x269x346244194","2x1x13069698463433976x046x9075671943250717","359x947304869x8x73528975591705105287683031","5171702982746x64429557073856310x0485x38691","3271119050x144758x071923955913018367x00992","74570479x08411277x5680863467xx2528x7088919","641886074x196x5175532626565516x59454391xx5","9372681x1x5060x6359762550x510986x961421804","9639455215684907410297309x50x83689406484x3","902102488172888987370810732420161131884317","x989360620779645732047229x93175905x208x7x3","85370x681719590543x6x9335577x47634x570x0x3","509178x447745903x09176563047147x54583804x2","39504638x306369888x87753x00892016x17351000","733555288x8709990946033x1x0229895522842305","9x6747823577119814913329955x586x2518526083","30xx112846582278324x197159233958x060319xx8","5x40x75557x8x246164603690x4x840445xx484x14","795792x193x1x96495726230x5747x86724349x465","793290x611857x9x152430834822x6795647831736","90980xx69119627648640014588409x635x285x199","76x9542715649358916x537513056461743x079x19"}

    Returns: 2235

  45. {"0944843x17761387423920x88x9x6x7189853x68494","909294607425534721x70x38245699610499647x723","041191x0934190x943886596040488120638xx865x8","1x58794x0547x530082923719912950010541432969","52402xx005x675985298x9xx7844037x19208374866","4812259364x198x83884152x75x10x228x6x549690x","506630485761908x62383399108572x568808696616","43578333990083630868x8837319x02545149598627","885561x491997195531605007801468623109325546","9x868x0490439x191560774968423035xxx33804759","44951951575332618xx1347371x7589132765951182","39654237893x684x7x14029028210430635x6612356","18719401319230751061x192x07311726x918090x76","23913351792687348022734x6810x17974374400259","8286018875153704488423364947507741574291189","12966642808x04354821x4x258451x3069894342169","77173831446849298115323338785406892296x16x3","21xx219401495743678952160x168x8x18429110940","x243849075584758923x843570188x577387928231x","194627287557x84079201280xx850843909477012x2","607936x8x6715215305709942x36147x8732x76x5x4","113564x909188006026458716x5019151301689x167","12934326108224171142x13947545x701x8815xx019","02350335488303x9x14766674202592130x46615x86","6260698100186370203x73x8038x79606x88850x654","0265x51273186332461392093897700974x743x2243","54223667x96x0x090277888248017731x4953889524","70395373599406502x1605699x88558x931x533xx69","x1910523672x866456x119766304273709x31802530","91x53902x615724539155354520382993731448x994","05946873474x9684068513635465481x19205415x71","247525639092758814x61047426532x35291873500x","1279x356296499132408347741687x3391x49953722","303575175835977459710909xx08992230600185980","02447621486202x8021508x99484380502172684960","x0662940242930x644921221859457x2935295x0366","951x711707x2933652948610363x30331182078x529","x4945x186x08819933870621x220xx4086738756339","802845x5329x970669388067100x719998x58872935","x4512499x46700569056006xx844556460417735883","722443803557711749134x5x5831497418708116x66","638165833141822x9962779016358988x7450x74744","086171085737155071804x9105x3543476473914430"}

    Returns: 2985

  46. {"0x1352259887442x8885583386x427705953x9904640","4769xx27824167988774093402428654393976450284","3279x0251984950x1009555x0x986593399370863x43","45043703x5xx6430298798408692068242625x96099x","0062472x98014380414602789x830x3240845742x647","79031x0545406527633x49842038128458649xx44936","8x33101125266x0095504669x10902x3x9018x014377","0xx2524x10359179x11282955x350x0445x069x95x30","536766736203115xx299496x2702717443192x607239","50110x34x3110563544x122130051008517063401545","6952799154xx4512x282102120x416322310947939x7","4761986x546703638679805x8345386997840xx67155","71612x6212x55050182x83x356966825431051734045","50134899117657589020584306196587047274899611","59980x52739567703711988068328602xx4440017952","346623278138435267x92363604420x94488916885x7","92609393802134x27958833164249301219635347286","4083294x751360x43803239473601141040681269358","04781x00023x55xx4706522003512x10573665068892","5848916460271395x548713207x670x41510x5014498","88731582x5628084845943425273571713x881x0740x","540378x616x34728704x23367x7001266832x9101246","28200830942015743648949644526340443899x6499x","898966819608321x849x6330821659480xx929385558","5x22963085952041xx4859100508627399265770x0x4","8x268x15218474081175777x607xx116989533847427","x333903931371300894224063110084xx79406451927","472x94823x4612x3636xx61035731357497503933457","21175206554054229632691737x06x15796519676462","251704374843x118654954415x157162878366304049","45884x89x8721296x28x3x32441x67459x20x3288094","0401561x3649xx5657x158935641567645790283x060","17212125667229172xxx8x3870340317976334840122","2xx516709839914480709454148813470952778468x6","52535x53420778460163018452233354556939176782","5148747607x23009676779x06328xx05x07882889709","47xx7841021129x1x837198703753156898811913150","70711x71x399400657464219x9319927828345331x05","31623701471113660863371203789x849345x7431628","75x98800203740xx896676901x22656x7x4559835246","x0587209723x4183949696611567883567751709218x","1xx60332x4724597x2053x11706584x49518772496x0","9966427332493802517918687150x67236643x503749","2471079262228275754310759x2397261xx5995x9733"}

    Returns: 3037

  47. {"0778117577522375855950325664986764461515x0201","x86x74475xx2x106x9711482x7x0063895038434x2xx4","2543688932187394636x9x5x2x9419515205545220x3x","58997x840780672x082x366472x08736642191041317x","447676x735559134848819486784547x350260164229x","09509777327940844116467864x68314673x0666x1775","490798431283x80186862153674678382780506103685","68086713526797276067729038423252212631200602x","99x741x69186669159823x4376771347x622282629x44","0836115500578950278634252x665x6720x5340171762","x537168988548x3462097028x6139xx940384x5315338","28561770x89xx1238134772x880314018x651x1827015","3770051179596779256x38x44x4374124x1x14501x70x","52x96784341147556183x60x795784x90656963241647","0x663479138330x4755541x444x59542x7413200058x1","46817x8607493x73203857201446x22x856x865428880","634952167197817447774446322077x19022208286003","9277185049x529393499220316066x520312918x4236x","737060x069172x112238206364579722xx7x61587x587","0584775408085309222312x2042741793229967154127","340906768187301291432073x83965200518963041317","3105374946641698037717205449240738xx0632117x5","6108x32010645937196934x293138423486332210683x","981422x44865387453452485433454598x54155443077","x14603702080x90666589956x94444881360676204621","70398x6530709093534x99818985210x5x160203x284x","50342103620950971x482746572145477325314047339","3x66717240108x279649x68894601344x97721107163x","545664419x541814x647x007120068332075x99466540","0819297486937x713053923x2898825796227629x3167","340091x6635613448374602747845546412612x576676","3063397751512364677654669x4887x02710x407x8867","51284496382321013200265x003414008657x16375x6x","x576467278667484055x3933079976x81x69453204196","55x26462x25x5317x1018xx2012221679349642421756","x7507764x5530979446311661909x9352899184140582","x34262923853528949200x85782077765x60731046482","13249x709214373x82997747x546241362x64012x9332","92x588524093354677008292244200351364009640652","x5x40580167111499x8185701407011x8110550354316","836485010115xxxx21159578596x029x22440526x2597","039196699x0433460x17x335063087313055626768077","3xxx36xx74230268932x3559331084441417924999837","268x8109206338822730909596879913757x88890x353","59583768355x8353x8x360x220x755204747549138981"}

    Returns: 3391

  48. {"023041x366145160175795764x567325316x2x28577369","36x734751x43087391530x3395x675894061212x110x66","7x318290x4298039790870x3x293x122x855x467570106","8854x25x918954044442531979517549430x3369691x78","137354x05653x515x007653068x9889424696107324325","7x2652xx5264598626337x31421944124x148908x90868","5394928381213919838590894411741010307039909x8x","244159x46x972404x3810331932851x815x4501122223x","6x14x939178x97xx451083677733134454442203969529","738898591804187805517725949852871886x511x41325","46218501x3029x55117x2802x6800x5726127354806628","00x464681380x49030x684522963900581842207104400","1983x158170x8484377858317311689215096x0068383x","16927628005490365125885x4200966154x48146263454","18433949328074x5661077621912835283x46641x09064","7644262219160296025026x748235856x5827918522xx6","123404117991262489x4x51297xx325811x1x273903867","x589725418999618279065243810025217209167211191","7851631x67x615534824x95430714193955928x9987930","326098x904265071x2xx8x08x74x4254xx5130441151x8","66071x543180672x58224783201699678x925609447x23","411x75522585728322480191xxx8x81481803x58835184","74024x78x6x4437508598xxx2260085xx4374799x33389","7869017061113x8875323x398692x9376778599x796958","78900994075655404125367x6935326x849x0444058843","4158x44997x559x3697194429990102281x25296468953","613068570148943585536416324187033059x243149987","7697807966536643687x1x2x92x464x646x97029970260","004888203323662x362035118986584229150701459718","3004963687130161535001493403781263914569039166","20x0422969035418x1888830xx02143806412278553211","3359912654548x182571328x94x39x9259851354719659","x926349199639904384907x4053801644767x4786x7297","3213x8501426688674x383x1x514x525x73959x1616344","4770211771148183x2035007470x2626x9x97343437x39","xxx7495929x934332x7428861667072322x30x2x359811","11867117910783611633701067466x179x617945098221","157x4840527313032008x835044744x614x39x47x70030","4454251x66772461777580x52567611x41397x48841x88","2x2705692x523816x8x50811x56195452295695x938153","3xx9517436585813599355513776x099564224x8961784","46130112x825238x04715215x667084920106049x28x42","40133792x3064983689613775576xx1914229424385302","82380x618753622223192x404641866097848x3x906931","646xx075217420948x7310998849534815704831476060","3630820404014x5x858639884283871317310377714870"}

    Returns: 3090

  49. {"07947375x02232883114459249xx5171424746943xx9730","40x16092x86x84522x484962321192831723593250429x7","058x7023x20071019867886206076409162x72402663038","7058x704943290265621050163751299917163716x14726","023375x07981350913525084385x1211635408569197794","76x321539779474774628x9995x245725609x6707011958","16688487887x482463678792xx55xx98184988803131451","243535xx1390705582576721323979161277824591946x3","74828824x790752715253200679237663921x1867154x19","x82x8850x564503x9746255xxxx38450x275x8323227874","581x7465705465x6671538837731564041703967921x064","0x735596483841985x431808908305713662852x4276533","56969048699895x4446x51637346x807515762594458374","3266555068686379299x295x28855816590348717780241","736969x29427398954398152x44325x6375124780584201","893879878xx906732985442x00x3234x811216084x37560","16575519x179x45222484685627x7988746582292547x98","45445x541578968986190x14502467x7x4x618x437x67x5","x865571658289721357x837362917514157834946113x78","4610xx9871950538x650x9790x026603118488x3762x940","97915xx249991665276617173x11066x837908x457895x1","3163x28206688319x341833851479892471x04253745420","825938024833132889298111412474995922x0913675x51","507020921x55915x4971x075384490x4461750x84943047","889x744x68313822096773795563x114905936145415xx2","2639598884968972476x387x405x2291201628352677009","54x888152xx9605936905x2337829x30723x001x79x35x7","98570860319319008542878868x68592632778037314142","60925x657x966x42538x822300844x34661500076770671","9599806006xx86389546x939191275x800979097x05x945","29542255356588xx38x37281943458413712x1963453173","49603x7245x322x126096197776704x1321072642955181","8938073x6843592x3x1x021297x752564x1x51326073972","76745206627589x25228x7737x2773361902726222x5099","58x033x84970267829305288x8055993407x42940696635","x76078730648366x218x0354419x5981728944177756896","4275637390520765121x789294780x6698631x735820506","02116x72x994252906x841600798xx048161141x1206451","xx73858746888xx92x05894x86x6113274627x01491x777","20576368x241410348x74238718x8610090x5630x475581","x4943723927867431501223696x61670764740391998412","x78436608806xx459172x8x16x4318057762232x7041204","4229665x60490x0x63642976476x53x2969876x12700447","902868715063732716x0519489501012087840288x84792","2750x8572820714424x214433224867x66179x40369x898","731x9xxx0876xx2x5035280178002113154387232842178","80x79940858496911831965x7441753714231919731x123"}

    Returns: 2859

  50. {"03641610039791128792152846xx12186984545x61733247","x9144279213336551x1x11751xx080xx29759566x5008946","26017820766075065718x5001578160x986826x895315x39","532155x64x03749x4x81362x5x87x226695433x689204607","35872362x5x4x94041467402xx79340135142347078x31x5","881875475709x38087770640592x4x836318964646333733","809x7x03751229127xx3521814x100826747347094297x72","3763817x268x72828781042786151663595x749635835x02","2x89991x67573132953305x47x7090280x30xx6x482x10x7","4x2211x74966x0x0891942122607847x1479031177585x39","x109x418441376308639x4394877554823270x3232642028","xx997508x4x09x07537724482609088491485858583509x5","7018858664809142809262x2857405113882x858x8716685","643794306x536955885x79653049634001871700x8546721","456712703xx521291215323x99119931x9898149009x9145","x7x5912x74244432265069528661x37797x073137235x816","x81x396593x42041x03333306x1831856649xx791394x931","x292929870636x7xx303194873671300x350974387640406","6636060195729244575x798x9814921x233x1126765x542x","8771196236663670xx34507675632389716x678904417530","9110101x769x0457073307203669x82372084263891539x6","958854086391975x30x2x95x554194462023120524383927","x737361x3829189711x5264x499724294852x204274x0009","824931124635243x3203x497754236577414707248x16602","62154983030625416099320525474788x345x9x569012813","5514x9020485731764xxx38x62x68067x8x206xx15261x67","17157920736750461957724859665x4135x153031404x1xx","71998932126x15402398773769xx78485828233x64673727","x1106234357723x19x3424722048927940532778x6367083","934118582930949xx6149820433465858275007310510530","720x21562654x4257560553x730190x1002970759093150x","6723x27080544x6x28659228x35670725745538387486x42","96815x212025x974495547x9x5x1x0x96736x08x40141302","76xx59xx32400651941x8x4223716923x1x3699402529310","4415xx4558988941605885113497216165643xx13080881x","x087x9x993357024459304x810x0552866x10x0236045643","3543706711x99875095181026267133662536362650021x7","0x822779434183372x2x473472558xx08x6x03609744070x","459259xx78x1280951265938182476701297599977083024","52191110x77118232766x60976x312xx6228086974397349","026787437772705740480403492x54387278890612xx6706","40894637051891281780x137597x91723942x6226031431x","432861163241252919x6636224238x041831x383826495x3","49840xx2482070662x67339577080166x362x8xx14815578","944008701709577678x6009883793857971159944818815x","846xx054224x97021018066714xx331x44905x2696995092","481287907061492x355129x8x31779041xx4631487505421","8x876142063446x3563x150x4xx78x2664710x28x4307237"}

    Returns: 3164

  51. {"0698023477896606x2235481563x59345762591987823x663" ,"1x88x8338355814562x2096x7x68546x18x54xx1077xx5131" ,"64343565721335639575x18059738478x156x781476124780" ,"2139850139989209547489708x3466104x5x3979260330074" ,"15316x57171x182167994729710304x24339370252x2x8846" ,"459x479948xx26916349194540891252317x99x4329x34x91" ,"96x3631804253899x69460666282614302698504342364742" ,"4x41693527443x7987953128673046855x793298x8747219x" ,"7735427289436x56129435153x83x37703808694432026643" ,"340x973216747311x970578x9324423865921864682853036" ,"x1442314831447x860181542569525471281x762734425650" ,"x756258910x0529918564126476x481206117984425792x97" ,"467692076x43x91258xx3xx079x34x29xx916574022682343" ,"9307x08x451x2882604411x67995x333x045x0x5xx4644590" ,"4x9x088309856x342242x12x79x2935566358156323631235" ,"04596921625156134477422x2691011895x8564609x837773" ,"223x353086929x27222x48467846970564701987061975216" ,"x4x5887805x89746997xx1419x758406034689902x6152567" ,"20573059x699979871151x444449x5170122650576586x898" ,"683344308229681464514453186x51040742xx138x5170x93" ,"1219892x9407xx63107x24x4914598xx4x478x31485x69139" ,"856756530006196x8722179365838x9037411399x41126560" ,"73012x9290145x1764125785844477355xx827269976x4x56" ,"37x95684445661771730x80xx2x459547x780556228951360" ,"54532923632041379753304212490929413x377x204659874" ,"30801x8716360708478705081091961915925276739027360" ,"5x74x4x39091353819x10x433010250089676063173896656" ,"03x07174x648272618831383631629x020633861270224x38" ,"855475149124358107x635160129488205151x45274x18854" ,"091902044504xx868401923845074542x50x143161647934x" ,"71215871802698346x390x2570413992678429588x5866973" ,"87x4538137828472265480468315701832x24590429832627" ,"9479550007750x658x618193862x80317248236583631x846" ,"49802902x511965239855908151316389x972x253946284x6" ,"053078091010241324x8166428x1x93x83809001454563464" ,"2176345x693826342x093950x12x7290x1186505760xx978x" ,"x9244898104910492948x2500050208763770568x92514431" ,"6855xx7x145213846746325656963x0419064369747824511" ,"88x15690xxx31x20312255171137133511507008114887695" ,"x391503034x01776xx30264908792724712819642x291x750" ,"17x1921464904885298x58x58xx174x7x673958x9615x9230" ,"x9217049564455797269x484428813681307xx85205112873" ,"19360179004x70496337008802296x7758386170452xx359x" ,"5057547822326798x0x0569420173277288269x486x582463" ,"2287970x0x474635353111x85933x33443884726179587xx9" ,"0x697597684843071327073893661811597376x4767247755" ,"668920978869307x17435748153x4233659379063530x646x" ,"0019868300350499779516950730410231x9x18749463x537" ,"00508xx083203827x42144x147181308668x3192478607467"}

    Returns: 3512

  52. {"07x86815153255120455303828703062497056778x61268187","79833x2966550x61385x8536042x128x26x86x330174x9443x","37x879378x44x41026xx0x774x613367370937892x81996546","x23190x7095x32259719663548535783071090242971561760","76338378x675067623822440237307x257x3x3158321472473","47475369883772723426272333955044282431162702400361","65275084x84877183338318x34073733x458115235197x61x2","x9859625716604464303214693762083x25x7199518x039x7x","48229997x70x9630856975417508x790232427xx3985397970","108200990259053381749962576x4485066737010571378659","71466x813579396x728192274804908347x86423817242x9xx","71x3203030x934130877546x17988107227842875x29921873","32194817833165714313241980945xx22909413x132x546928","0923821510322394x6146296541233552767xxx8385649998x","1928080798535x444662195230995499044x61493217374382","14749x5841628xx8698x9758895700134614x1630568576597","78386x5591922xx4x01582781157469849188x165764910391","xxx763663x6364713087664313620988397558695606391299","8x999408774155x0722767067x2x5657257006260949379358","960915340069814394977x072538910124985896407x60935x","06634x4x4285x263132376640651109563x6x3664835723960","0x33167589899430392278145723234203497462516053x63x","54592312950xx413xx382xx52618454646745x028186709194","905091121805587372774225869xx2x6540x645x9838690865","496393459124377692702020x23x087313764346x540836690","xx2927519024645191222185x24x59014428000x31067x071x","0388681151643252x73108981236x6600833959079749x7x0x","72712582445x89952304805585785768x92161554590798598","600601240764636x8780x241400x8x12xx211962878x17854x","7x0x2707x62421136x447381428x4274288203387902x35648","52878x80695259643276441232120387102x35742566635954","338860125x48xx3x5851680139753622127188066877965x36","2565301502814x8643721x22006x879x4591x2xx761035249x","39647x9004281801629731814xx13589331x863x879x360x19","605386x5315x74x08954x55705096649520691x19714441710","2792x4726350209872403558x61x4x85566353253326764129","31982597447191946xxx1952519x2172513979335450658709","946002657065x36427171976734x2880x1536720x622455410","408952438100254x6x3959441608906x452368508926209924","1023405309644932689605169x9600579x85450x2639087055","778388082685004x57x70688x1x72786206225985922861950","3x2939x0535597x0748893622687128836243964x612401411","598x06x901961156809801430659822x92x2x5600x57518x0x","868051xxx75403x834890003720801833x8058663398653274","x9x3358731690566893719548xx8799202737816382442x393","92908x5284x907566801444650xx4x05475037567032x72444","14183545x0209056x975627716435009895560637474479133","2092978248819539328x7x244x0x655134818x030958544103","437163168284438661x0712xx4450653x66160924397981924","772687884318580024394594398110898347427481244x3430"}

    Returns: 3418

  53. {"06408272131575405549734341363466591564497891603882","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx0","08107755718975572652313895564686295730139224199750","7xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","46863658521382954853959405888021477749179137958780","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx4","12302020823323507855453746503796479337044480078052","2xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","00180539565541257963686722108661654468680902335349","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx5","09801102862780814176432242581463982549910753243267","6xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","79762778138862917519005848711470961447561554724980","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx6","90820679313886244967568225354681090481106814269827","3xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","53794942745795900860322796090372725230071143885673","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx0","21117298972229140295974625538195366804082644862894","9xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","01431648415589810139725780540967379627064427681525","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx1","78976582093467182669594143580955917400358389292246","5xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","80369563975993376583861950552497207631837348375514","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx4","24810753530564807077221039674167730476677200716758","9xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","54612989272727098183103210319000593664577850891366","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx1","85198249001216143111636528721187543905824628952113","9xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","55689029599625247817392199880329843008711605253929","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx3","34517853710917292350232028861174017033936782536890","8xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","31809643692779839390962631523964961544190530808165","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx6","84483934763323564249192381246207803008831823462971","4xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","25705230064243683959502476815476276406325064703291","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx4","30639746964102827062599578702477111060764363205605","1xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","96109746698899972399700247518279872900677252422653","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx3","08916063845854149119844348389108792971876777285726","6xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx","32462394829021857277275929492946005509961061571333","xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx3"}

    Returns: 5819

  54. {"09999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999","99999999999999999999999999999999999999999999999999"}

    Returns: 22050

  55. {"03656040204174531549935511096232340772033601518843","40772683656406522830796684066046451128714348879278","70147041967605928004950074679378240977466338378024","98149811188002809089918854561228089880783780344218","44578022180308659865659867675461575394473333549391","75102917535865574488470082452856102549713097558461","40761745913343741188433803265898566654168112245931","69889447454226032435506327637104696413313562194104","76381703131671488957626917070551846167660915809827","21824821972277621048504449933988332083035827861173","19311443440728218907680622988887102552132958273848","96335912859780105411084013431814356422976681738019","29638080801742004880594857506845657082775820496867","28366182805401232141319703886635612601028895364084","60921299980924622397113053509684798700877602405467","28955424292450856602615884202876271860125493253685","38659022786809393693307031515142517723412133364995","15582809217739266967128336967099281173445060731235","62564522710465282695015652031297117746294099617279","71027030708951439954873986738080089140848792478046","29978121421661448455822994302150695644767515880355","95989720156911408703793655828515019994705883791688","63018162280319602876309211450555464362901337790679","53436192645554396250027034074246472457077207395941","83461323273697935390547444665164991883349415555199","98122118937192958690638036453034871854322444726571","61846638484391950271454135567042072941242763880671","09612151863094311596231789450574015504360161354955","24317120632402630816642665970487299828156050010078","19284272376845045867938418904454815831930236316182","78015652158593103614913415813029122417676941516913","84606550593975375521065794888848525911510684437993","50828313509891392604015726783783434519568476602763","95710467290218592588445757602071652201177676023801","91429193429267989421850019574305206781717040484722","34934921549109224321802234587543233740627324367902","52380575888141147708382976119544455388830468458608","67315164244047759950574707119562786615493962617247","21577583104804422009694031627733396147192445350008","99690402126526310205979607772904018997491333208139","10081176390308413566834433610098818611912662126808","16961895486034555417759254571636113082913372830813","77234385968368605644787816601801271684248468711329","48247213832529083615025124309119151016406754014159","50930036442193842625895019426452159489087509224247","59125202516850707710563827895410062616584737709813","87218390478693892112229149649490219378836978777790","06070256047864728204938845956882764762150669238344","76629446988221412427695359157169186023256632099064","57066199698279834761871960315938671301915319923509"}

    Returns: 10896

  56. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    Returns: 0

  57. {"0","0"}

    Returns: 0

  58. {"0", "5" }

    Returns: 5

  59. {"0698023477896606x2235481563x59345762591987823x663", "1x88x8338355814562x2096x7x68546x18x54xx1077xx5131", "64343565721335639575x18059738478x156x781476124780", "2139850139989209547489708x3466104x5x3979260330074", "15316x57171x182167994729710304x24339370252x2x8846", "459x479948xx26916349194540891252317x99x4329x34x91", "96x3631804253899x69460666282614302698504342364742", "4x41693527443x7987953128673046855x793298x8747219x", "7735427289436x56129435153x83x37703808694432026643", "340x973216747311x970578x9324423865921864682853036", "x1442314831447x860181542569525471281x762734425650", "x756258910x0529918564126476x481206117984425792x97", "467692076x43x91258xx3xx079x34x29xx916574022682343", "9307x08x451x2882604411x67995x333x045x0x5xx4644590", "4x9x088309856x342242x12x79x2935566358156323631235", "04596921625156134477422x2691011895x8564609x837773", "223x353086929x27222x48467846970564701987061975216", "x4x5887805x89746997xx1419x758406034689902x6152567", "20573059x699979871151x444449x5170122650576586x898", "683344308229681464514453186x51040742xx138x5170x93", "1219892x9407xx63107x24x4914598xx4x478x31485x69139", "856756530006196x8722179365838x9037411399x41126560", "73012x9290145x1764125785844477355xx827269976x4x56", "37x95684445661771730x80xx2x459547x780556228951360", "54532923632041379753304212490929413x377x204659874", "30801x8716360708478705081091961915925276739027360", "5x74x4x39091353819x10x433010250089676063173896656", "03x07174x648272618831383631629x020633861270224x38", "855475149124358107x635160129488205151x45274x18854", "091902044504xx868401923845074542x50x143161647934x", "71215871802698346x390x2570413992678429588x5866973", "87x4538137828472265480468315701832x24590429832627", "9479550007750x658x618193862x80317248236583631x846", "49802902x511965239855908151316389x972x253946284x6", "053078091010241324x8166428x1x93x83809001454563464", "2176345x693826342x093950x12x7290x1186505760xx978x", "x9244898104910492948x2500050208763770568x92514431", "6855xx7x145213846746325656963x0419064369747824511", "88x15690xxx31x20312255171137133511507008114887695", "x391503034x01776xx30264908792724712819642x291x750", "17x1921464904885298x58x58xx174x7x673958x9615x9230", "x9217049564455797269x484428813681307xx85205112873", "19360179004x70496337008802296x7758386170452xx359x", "5057547822326798x0x0569420173277288269x486x582463", "2287970x0x474635353111x85933x33443884726179587xx9", "0x697597684843071327073893661811597376x4767247755", "668920978869307x17435748153x4233659379063530x646x", "0019868300350499779516950730410231x9x18749463x537", "00508xx083203827x42144x147181308668x3192478607467" }

    Returns: 3512

  60. {"042", "391" }

    Returns: 13

  61. {"011122", "xx9xx1" }

    Returns: 11

This problem statement is the exclusive and proprietary property of TopCoder, Inc. Any unauthorized use or reproduction of this information without the prior written consent of TopCoder, Inc. is strictly prohibited. (c)2024, TopCoder, Inc. All rights reserved.
This problem was used for: