Statistics

Problem Statement for "Terrorists"

Problem Statement

There is a direct bidirectional road between every pair of distinct towns in the country. Terrorists want to blow up enough of these roads that there are at least two towns that are no longer connected to each other by any direct or indirect paths.

You will be given a String[] roads. The j-th character of the i-th element of roads is a digit representing the cost of blowing up the road from the i-th town to the j-th town. Return the minimal total cost required for the terrorists to achieve their goal.

Definition

Class:
Terrorists
Method:
requiredCost
Parameters:
String[]
Returns:
int
Method signature:
int requiredCost(String[] roads)
(be sure your method is public)

Constraints

  • roads will contain between 2 and 50 elements, inclusive.
  • Each element of roads will contain the same number of characters as the number of elements in roads.
  • Each element of roads will consist of digits ('0' - '9') only.
  • The i-th character of the j-th element of roads will be equal to the j-th character of the i-th element for all pairs of i and j.
  • The i-th character of the i-th element of roads will be '0' for all i.

Examples

  1. {"0911", "9011", "1109", "1190"}

    Returns: 4

    The best decision is to isolate towns 0 and 1 from towns 2 and 3. So, the terrorists should blow up roads (0,2), (0,3), (1,2) and (1,3).

  2. {"0399", "3033", "9309", "9390"}

    Returns: 9

    The cheapest plan is to isolate town 1. So, the roads to blow up are (1,0), (1,2) and (1,3).

  3. {"030900", "304120", "040174", "911021", "027207", "004170"}

    Returns: 8

  4. {"0478122019605605828","4040491862401574068","7404844408554400297","8040838953363789153","1488086662874379878","2943807364286037863","2148670303668783223","0849633082274287443","1605660802489151560","9283243220748921785","6453826247055007108","0056786784508094540","5143468498580267507","6547307219002018089","0708738852096104849","5409973711747840242","8021882457155082070","2695762468040844702","8873833305807992020"}

    Returns: 72

  5. {"015841332118037473232854998290704","102151536070178436260674855238507","520588854293384787157459848840928","815049593606012999218708943374715","458409402675555828250728077873615","118990477017587667999778908138762","358544028751994205302062850334323","335907204281268202212644095172922","264327840730356551418190620766685","102660727094706277473197463387302","179071583904521121115078973534980","803657110440594184216249400131043","013055923755020332194219313539504","378158965029201515986470095129584","784257486614010359900921548014153","447986225211353026698550558638748","738926005728315200933949512570960","367987521714259600638013778200505","221229324412199696039221471220962","365159011711980933307087559152024","207809228356460838970901798150875","864777061102249590209081514238836","575027649974172541280800096248409","449888240789901093171100198709321","988909806494305557457501082562268","954470592670194517759199807884283","858378050330358828198468270362813","228381317351510652211227583024333","934773376833321370255340686204314","080438426741994800020889242440176","759767396390551795908843228331006","002116228084085460627302681317002","478552325203443805245691833346620"}

    Returns: 105

  6. {"087174459035093570354683731187560","804124868386510177039717121343687","740492401515834405270454119395983","114059320045162228029886150754831","729506767053358655800766137404628","442960566424266622856069076260339","484375017432495914358797906298224","560266104343027494551227543685196","981076740117013354460050014119879","035004431012604580767574731905594","381452341107386113755990800223777","565534237270080022131402504697732","058132400630039000815746980415204","913656921088305962868903243041589","304286573460950977353870521356387","514266943510099073977593094058017","770252195812067707225303334002507","075852444032027370324542291749173","302088354771883923034174165315793","537205556653165722306085361364175","490906810751583754460724020117528","674870720594798535107040551351117","815866925790407904782405385027622","374669770402630332454050782949231","711110950785925032130537074882696","321537041300842939662588700847355","119076634104031441510152400244782","133742261926403007331309882030662","849506981029145504161524844301527","735440859537516829547179274010580","569863218577253051715162637655039","688323297973088107972123958628300","073189469472497773358721652270900"}

    Returns: 100

  7. {"044967263", "409134231", "490642938", "916036261", "634306024", "742660550", "229205069", "633625604", "318140940"}

    Returns: 27

  8. {"048115567","405412876","850181674","141093045","118905984","521350866","586098060","677486603","764546030"}

    Returns: 27

  9. {"03158937131267545137198090190746460","30537062922443121779912840749320714","15087521390979156074951657618126429","53806493872688300055644914652670937","87760858683650763941402770216269797","90548099471267218942569205657630551","36295902279235514369291298149484574","72138920392825609940734002177243516","19386423045932895809761616866450255","32978779404295341085494041193646485","12023192540482275107279659338219010","24966228924072790565519458582601143","64785632398707793462453746279320293","73980755252270659957804821906536177","51137256832776048238512632409006305","42506110947995400572999237672035816","51603849515039800094667727746042943","17009939801549250044197254626143472","37754464080665379400741613853718657","79451290957527824400849476699229225","19964527742548596178046028296980951","91540693697150196944401417943918994","82142914149934297719610669790024638","08697220606478627264046020876885015","94517090145542332517216204295209708","00740582619861277436879040186202696","17662611813529467686297821017237058","94151547693870074259949798107776369","09826797638296926639630656770385936","73162642462635000172990822273058908","42276384541023034412812800378508556","60609043069106652389084592765880161","47497555240121389462996076039951006","61239571581497014752593109563056009","04977146550337563275148586896861690"}

    Returns: 130

  10. {"042011538984773890471776878","407440944474798093957770722","270110929848683077706881169","041077329836558753279775608","141709008417289235913971527","100790866357292422230705155","599308007785751442493875650","342206009374359967214084666","849986790924531292920426817","948843739087434413169114968","874315872804880095138203371","448677544740575468553746283","776522735485008776905920548","798589553387007888083885168","383892191405870773732511855","800724492404787079105218445","997532469196787705840898294","037352272358683950617056235","497292429115907186073274720","750713912635083041707798151","176930340983532507370558079","778797804127985280275050021","778770782104281195795506600","601515546436051886488060610","871651668932518422710066031","726025561678465493257201302","829875067813885545019100120"}

    Returns: 101

  11. {"04738172772708124618408989346703","40291245707206162923369342115560","72056875797223702024876419848120","39507553789679668977162140983911","81670046808444312613259012584117","12850055407676391586618462954326","74754505194705783589977362728946","25536550335074651658177210977299","77778413074369202916118514545135","70980093709020939544912848053762","27798745490653106213110646550816","72264670306007740406991862858469","00274707625000306779732775816153","86394654903700360248807834824102","11763376291733078761701487263284","26061985030406705814666019451479","42282131296060850888860114656041","69096556952472788048999567187746","12271885141074618403540147202962","83473698643698148830261602231351","43812691191978768952090210426540","06765177111930066946908535364459","89629877820127160901080469118565","93410432586878401516254014763122","84141661144673811640136105716727","92902220486254794772059450242313","31895979505888246122431772096185","41488527455512655803261614903996","65834487530864316721648362630633","75191392178411240793545173196008","06211249361650874465456221893004","30017669526932491621095273563840"}

    Returns: 115

  12. {"07571849276660790337845514156","70472436204571777326079716592","54048318337891558266477237034","77405374603214072203385897177","12850571471320510924471944345","84335075763742162135861889405","43177704433440946377569185624","96841540355542061525943683170","22364743001588805844575384042","70307635007748868036474331258","64731335170116884553021041659","65823745571086876641164696097","67912444841805502843056672632","01140202886650690059838288684","77505190888856039615718093754","97571646068709303842948767279","07820261584620930281413449267","33229135805680682027052521978","32602372435445148206971561977","76634575463139521760047688463","80434859540108794090084636399","47787664772653141574803157965","59751193541468883217430228169","57289816330662074556612054368","11394888834978964268352507280","46774953411628379118678470982","15013461026066722994391329069","59374027455938576776966688608","62475540289724497873959802980"}

    Returns: 108

  13. {"0362508685671356411172915619","3022759143370673020186502579","6206820198983214083389238057","2260564923369851117272608647","5785035942494029115961023035","0526303703822463252612486824","8904530043930719290737586454","6119970037484651878978262476","8492404302808825899079524367","5383233720401421935590926420","6393489484051383650610440221","7786923800501899791108093513","1039420481110340051515057486","3628047684383054001859195257","5715261522894504692340411210","6341939151390440501219935738","4001122889670065022407081761","1281159793595090202680644173","1037520895011121220796460315","1132967905615832467052803905","7887613779101541089507490532","2692127890085909706270871067","9526045259400149064848093656","1030288622495913846097909720","5288366246037515140301390363","6506084434254227713950673077","1754325762218513671036526705","9977544670136708135527603750"}

    Returns: 88

  14. {"066967779999879799876989978677796698989679877","606989888896969686887898886686886687869668886","660887677698898878689997879999886766987698767","998089988978668666977876999768998769786689676","688809987897996789677687687898989778767969967","797990687669696878977878879687767686997788696","786996076877686678868869879987876666699666797","787888706778799979867678979979778866968677898","987877660687989779676689678768767988876979676","986986876077877897899866796768867867868978666","999796778708868999777697676679797869879978896","968879787780868869999996889968876686966669769","898696679888066897867698779966886887987968676","769699898766608796798667987667987766999889899","998866699788680867986866788677867986696878899","768678697898878088988968988769888878687888988","987687777996996808896897866787786788799986878","968698899799767880668688898678796779879769869","886969886879879986089687776977896986978688786","788777667979698896808979878978797876679999679","679777876979786868980998676976797786898779978","989868866869668986699086696898696678988797999","899787678699966698879808896999977776889869876","987678989676876878798680896998779679668788699","988968896768797988786688086776998876966677796","787987777978788869777999807888877697966979668","869979998669978868686666670868796879676887786","669786997769966776999899788078898669799697869","789698876676667687777999786707999867977769766","769887798898677978786898688870967786789769766","788997877878898877877697987899086677696786679","988986776697886889999977979996808697887677789","666897687776677866677679876897680868867799887","667776689886879877987676868687668086988768777","986678668668868787878777797668796806899899888","876986668796766889666869679976778660897666996","989779698889996678968986996797688988079788788","868869967676899897779886667978986899709976687","997677986896796799898898666979677897990669997","666697669996988897697787698677767786796069686","769868677776687886897968778966879696876609799","988998679889898869899798797799679896869990888","887696786687688988769986767877678789769678086","786769997696799876877979968666788789889898806","767676786669699889698969686966997786877698660"}

    Returns: 315

  15. {"0799898896877967976769976996696867676797996","7089666989988787797788796889976866688669787","9808886968897669667798886768887796676766867","9980876888986879988866979669787879677767866","8688079787678879798867697968676696976969788","9687707769668898667778799667668896689789689","8666970767798986869669777878896887879686988","8998777099789877779766886967668796989969669","9868866907666879789988986689967796969976967","6988797970798976669696696686986888888789999","8989667767078798678767679866698667798766967","7898769869707667869667867877798896887887667","7876888968870889669688869788976879896696876","9768889889768079899999697877866777767688987","6867798777968706879869767866676787889788787","7799986796879960769899866788798679676679669","9769768776686887069786986778669986866689669","7968966786766976606869669799868897779769879","6778879999899999960799679796689786788686676","7778876796766988787089669969789889689897879","6896676689668969869807968999666886896686766","9886789686778999699970997886979878697986778","9789677896688678966699087968898996778889769","7987997889766966867669809669678686878698669","6669797666979776699987790788979787989799967","9876968966887887777998967097867989688796768","9866667688678768799698668908686697778666769","6989878796678768896996898780867868766688678","6987668699679867686769869868099986977869986","9788769668997679668867977686909766796779896","6677686876886668989969889767990797966796778","8878688778688776987888967968977099868997868","6697998998697787898887988896869909876869776","7669667668769779676968667978667990897766768","6666968998788786877686789677979888087769687","7877787868989687678899778876796679807967889","6867699998876796698967889886766867770887667","7677976997786676676869867766877987798089699","9666688678689887868988899968679966668806889","7967996969676889996766989668996796977960999","9788769699968976686877769776987877686689099","9866888669667886677767666667897676886989906","6776898979776779996968997898668868797999960"}

    Returns: 298

  16. {"0787899869688676977678896868999666898699","7069789766878989976989686989999869876766","8606699979776879868797667696678967996766","7960767778989999899798688869877878776966","8767066998689878696667767899878967868697","9896609786876966987666866998668987877966","9997690969976876797676679889888966979966","8797979079979696978888966978768787888678","6677986709678998679997976677999967769778","9698869990766976887769766777979986877896","6879689967097677978799798676876796797796","8778877776907696669896667668688889789787","8869966986770896678986777868678986689668","6989898699668079898878977788988789979866","7879767997799708766876796698867896879877","6999866686766980777768796697796968797778","9988697968966877077787666788876679999696","7769989778767967706687677688698789898669","7689677897898867760797898877979766868777","6977666897789887767076686876878976877686","7899667896998776889708779977689797876698","8978766879966868777680877668779888798796","8666786997767977668678067887989767978766","9868667676967799679877607879667689896688","6678769666877766678697770767788669997877","8968898967668766768896887076977877889976","6896998777766899887776876709998899677697","8969989877688887887678797690689879688976","9968868799866987869867967996089987687687","9977768697787869797787868798808998878686","9987888899688876689899978789980697786887","6898999799789789677978766888996066967886","6667686868988896786798686797899606977796","6978776776696968996678799799787660899769","8897889878776987988887989866687998098887","9797677867988779996779799878878679907977","8666879897799997988768867978786779870667","6779699678776887667667768969668877896077","9666966779986677967899687797888896876709","9666766886678678697686687676767669777790"}

    Returns: 270

  17. {"086886967966889688698999978797869686888666","807898997869767886796966688967668876996667","670786696967788678887787976679679668679876","887099997997887688787768668668997978678977","898906867968997978777676788789877879879668","686960787899867987789887977678966679666797","996987096899669999776987679697896968878777","699968908877999787968989687796969777888989","776777680786999668699867798869687886966897","989998887086877897887768989786676898679767","666969978809766696966866989999878998999988","697789976690697767997886777777687767687998","877898699876066978876887669788868796689997","868896699769606877989789899698697778779978","978777999767660687769868769866868687799687","686699976867986079769866788798776676776976","887878986996778708667886899869796676867676","868887978767877980998678888986987697697688","678777796899897769078679988788899786767678","998878769869786669709668698968886976987968","867779689767699978890777789768868689976996","997768998788878886667076798669867889977777","968678886668886687767707689979678879977889","967867797866798668987670968877978896786989","969679667997687788967769099866967887977988","787687789887696898898986908697987666698688","886887978997999898889898980767778999697688","796676678797768789797698867077898988966668","967687996897896968866677696707766768798996","779898769697886896888997677770799679868988","866989896686868779888869997877066998998888","667976968778696798986677687969608979787699","989776697687878667968788778869680776779778","686986978897776666796888869976997078967888","876777678996978779878879869867977709779977","668899876887687667669996769889896890779887","896686889696677786799997966978977977077666","897776786798879769687778799696987677707686","869896886997999677776776787688879799770986","668967798799996966699789966699867898669096","667769789689978778769788888698897878688908","676787797788787668886799888868898877666680"}

    Returns: 295

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    Returns: 318

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    Returns: 295

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    Returns: 350

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    Returns: 287

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    Returns: 348

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    Returns: 328

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    Returns: 325

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    Returns: 327

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    Returns: 318

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    Returns: 328

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    Returns: 329

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    Returns: 319

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    Returns: 332

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    Returns: 336

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    Returns: 320

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    Returns: 320

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    Returns: 193

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    Returns: 193

  36. {"01991991199999919911191991199199991199911919191111","10191119119191999911111191919111191991111919911111","91019991199919999199119999991111199111191191199119","99101919191999111119199199191191111199991191119911","11910199191199199111191919991111991919991199191999","91991091119199991991199191119991919919119999111119","91919909919999991111191191191911911999199999119119","19199190111999199919111111911999191199919119191111","11111191099919919991999911999919119919991111919991","91999111909919991919191191111911111911191999911919","99911991990991919999991999111199119191111119911199","91991199999099199199111119111991199919111191991991","99199999119901191191191991919199911111119919999919","91999999991910199991199919191199111991119919919911","99911991999111019919999999111911919911199111111911","19919999191999101111119911191191119119919191191919","99919119919919910919991999991191999991999119119111","99111919999119919019111191911919911191119999111199","11911911919999111101111191119199199119991911119999","11991119199911919910919111119191111191999991111191","11111111919111919119011911119999199199911919111999","91199991999199919111109999991911119919111911199119","11991911911119991119190191191111191199191991919119","91919111919199999111991099199199911911199199911191","99991991199191919991199901919191119911191911119111","11999111119919919111191910191919911119119111199911","19919119911191119911191191099191199911119119991919","91999191911119199111199919909199911999919991919991","99111911911191111199911991990119191999191991191199","11111999991911911911991119111091991119199999911199","91191919119999199199911991991909119199119919191191","91111119919199111991911919199190191919111911911911","91119991111191919911111919191911019911199911999999","99919119111911119191919111919919101991111191991999","11911911919911999191991191911191910999111111119119","19119991991919919111191991999119999011191999111191","99191199119119119919919111199191199101191119191919","91199999911911191191999119199999119110111911999911","91199119911111199199911111191111111111011199111919","11999191991111919199119991119911911991109919119111","11111999111199999919111919991991911111190191111919","99111991191199111999999191199999911919191099999991","11999991191911191919119911199911191911919901999111","99119999199199119911911911911991111991991910991199","19111111999999111111119911991919991119111999091919","91919119111991191111191119919191991199111999909911","11991191911199119191199199191111919119191991190911","11199111991999991191911119991119991199919911999099","11119111919911111999911911199991991911111919111909","11919991199191191991999111919911999191919119911990"}

    Returns: 169

  37. {"01999191111111919119911911991111119111191111111111","10911191911111111111119191111111111911111191111111","99019199911911111991119991111111111111111111119111","91109999111111911111111191111911911111111111911111","91990991911111911111119111111111111111191111111111","11199091111191191991111111111111911111119111191911","99999909919111991919911191111991191111111111111911","11991190199111911191119911111119111911911111119191","19919191099991919119191119111111111191111111911911","11111119901911111911111111191911119911111111111111","11111199910191119911111911919111111111111111111111","11911111991011919119911991111111111111111111111111","11111911919109911119111991911119111911111119119111","11111111111190999919911911191119111111111111111911","91199199911999011911991119111111111111111111111191","11111991111119101119919919119119111111911911111911","91111111919919110111911111119911111911119111111111","11911991199119911019111111111111111191119199919111","11911919111111111101991119119199111911111911111119","91111191911999191910111111191191111111111191111111","91111191111919999191019911119111111111111119111111","11111111911111911191109919119191991119119991119111","19919119111111191111990119911119111191111111111111","91911119119999191111991011999111919911911191111111","19991191111991111111111101191191191111119111111191","11111111911111991191199110199111191911991111999111","91111111119191111111119911091111119119191111991119","91111111191119111119111999909119111991191991111111","11111111119111199191991919190911911119911111119911","11191191191111119111111111119099999111911911191111","11111191111111111199191191111901911111111911119911","11111119111199191191119111191910119111111191111199","11191911111111111111191911119991011911911111911119","11111191111111111111191199111911101911919111911119","91111111191111111111111911911919110111111191991119","19111119191191119191111919191111991019911119999191","11111111911111111911119111191111111109191119111111","11111111111111111111191111919111111990919111191111","11111119111111191111111919119911991919091911119111","91119111111111111111111119991111111191909111119991","11111911111111119911191191111111191119190999119199","11111111111111191191191111191991111111919099111111","19111111111111111919191911191119119111119901199999","11111111111191111911911111111111111991119910999191","11191111911111111911111119911111999911111119019111","11111911111111111111111119911911119919111199101199","11911119111191111911191119119191111911999199910111","11111991911119191111111111119191111111191191111091","11111119111111911111111191111119111911199199191901","11111111111111111191111111911119999111119191191110"}

    Returns: 105

  38. {"01191991111191111911911111111111111911111111191111","10111191919111111111199191119911111111999111111119","11011191111199111111191911111111111111191111111111","91109999119111111111119191911111111111111111111111","11190919911911199111911119111111111111111111111199","91199019191911111191111111191111911111111111199111","99991101999111111111111111911911199111991919111111","11199910111119119991991111911111111111111191111191","19119191011991111111119111111111111111111119191111","11111991109191911119111191111119111119111111911111","19191191190119111119111111911111111111919919111111","11119911911019119111191119111111111111111911191111","91911111991101919919919191911191911111191111119111","11911119119910919111911111111111191911111111911111","11111111191199099111111111111111119119911111111111","11119111111111909191191999199111119111111911119111","11119119111999990919919191111111119111119111111111","91111119111191119011111911111199111119111111119111","11111919111111191101911119191991111911111111119111","11111111199191119110919191111111911111911111111911","91119119111199119199099919111191919191191111111199","19911119111911191111909199991199119911911911111111","19191111911191119119990911919119119111911911111191","11911111111111191911919099111191919911111111119111","19191111191191199119191909199111199911911111111911","11119111111911191191991990991119911191111111111911","11191199119191111111199119019199191991111119191111","11111911111111191191191199101919111999111119111111","19111111111111191111119191910919911111111911111991","19111191111111111191111111199019111119911191191911","11111111111191111991991911911109191199199191111191","11111111191111111911199119999990919119919911911111","11111911111191111119911919119119099911111911991111","11111191111119111111111191911191909919191991111919","11111191111111999111999991111119990999919199119111","91111111111119111191191991991111999019191911199911","11111111111111111111911119991191119101911919191111","11111111191111911911111111191999199910991191911111","19111191119111911119199191111919119199099919119111","19911191111191111111911111111191191919909111111119","19111111119111119111111111111199119111990111199119","11111191119911191111199111119119991991911011919191","11111119111111111111111111111991199119111101199991","11111191919111111111111111991111119191911110119911","11111111191119111111111111111119911119111911099999","91111911911911111111111111911911911991119191901191","11111911111191191991111911111111119911919999910911","11111111111111111119111199119911191911111199919011","11119119111111111111919111119191111111111991991109","19119111111111111111911111111111191111199111911190"}

    Returns: 97

  39. {"01191991119119111999111191111111191111111111111111","10119119911119111191111111911191911911119111991111","11011119111191191911111119119111191199119111111199","91109919199911911911911111111111111111119111111911","19190191911111919191191111111119191111111111111911","91191091191111911911911991111111191119111111111911","91119909999199111111911119111111119911111111111111","19991190111111119119911111911119119111111111191911","19119191019991111111111119191111111119111111191111","11191991101119911191111911111999191119111911119111","91191191910119111111111199119111911111111111111911","11191111911091191111911111191111111111911111111119","11911191911901199919999111111111111111111191111111","99111191199110111111119119111111111111191111991111","11199911191111099911111119111191111919119111911191","11911111111991901191999111119111111111191111111191","11119119111191910111991111111191911111191119111911","91991911111191911099191111111111111111191111119191","99119111191111191901199111111199911111119111111111","91111119111191111910111991191111911911111911111911","11191999111991199111091991111911191111119111111119","11119111111191199991901199111919191111111111911111","11111111111199191191110911191111911111911111111111","11111911191111111119919019919119991999119111911111","91111911119111111119991109111191111111111191111111","11911191919119911111191990911999119191111111191911","19111119111111111111111919019111111111111111111919","11111111911911111119119111101999111111111111111911","11911111119111191111111911910991111911991199199111","11111111191111111111991119199099999111199111119119","19111111191111919191111199199909919191911111111191","11119119191111111191191919191990991919911911111911","19111111119111119199119911111999099191111991111111","91919911191111111111991911111919901119919991911119","11111199111111111111111119111991910999991119119911","19111191111111911119111911119119119011911911111111","11911111111111111111111919111191919109111191911111","11911911991111911111111911111119199190919199119191","11111111111911111111119111119199199919019911911199","11111111111119199911111111119911119111101999111199","19991111111111911191911911111911191119910919911191","11111111191111111119111111111119991911999019991911","11111111111191111111111191119111991199191101199199","11111111111111119111111111119111119119199910199919","19111111111119911111191911111111191191919911011191","19111119911119111111111119119111111111111999109199","11111111191111111911111111119911119119111199190119","11199919119111119119111119991119119111111919111011","11911111111111991911111111111191111119999191991109","11911111111911111111911111911911191111991199199190"}

    Returns: 105

  40. {"01191191191919911111111911111111191111111111111111","10191119911911111119111111911119111111111111111111","11011119119991111111119111111119111119111111111111","99101111111111119919111119991191111111111111111111","11110991119111111111111111191111111111191111111111","11119099119191111111199191111111991119111111911111","91119901991191911199911111991111111911111111111111","19911910191911911911191111111111111111111111111111","19111191019111191111191111111111911111111111911111","91111199109111911111199191111191111111111911111111","11919911990991911119111119111111111191119191111111","99911119119011919191111911191111111111111191119111","11911991119101111111191111111111111911111111911111","91111111111110991111111999191111111191111111111111","91111199199919019999119191111111111911111111111111","11111111911119109991911911191111119111111111111199","11191111111911990191111911191111111111111111119111","11191119111111991091991111191111191111191111111111","11111191111911999909911991111111191111911111111111","19191191119111911190919111111119111119911911191111","11111191111111191999099111911111111111911111111111","11111919991191111911901191111111111111111919191111","11911911191111911119910911191111911111911111111111","91111111111919199191119011991911111111111111111111","11111911191119911191191101911111119111111111199119","11191111119119111111111110119119191111111111111911","19191191111111111111911991091191191119111191191191","11199191111919199911119911909191991111111111111111","11111111111111111111111119190111191911111111111919","11111111111111111111111911111011191111911191199111","11191111191111111111111111991101111191111119911191","19911111111111111119111119111110199111191111111111","11111911911111111111119111191111091119119119111111","91111911111111111991111119999919909919191111191111","11111111111111191111111191111119190111111919119119","11111191111191911111111111119111191099119911111111","11111111119119111111111111111191111901111919111199","11911911111111111119111111911111991910199911911111","11111111111111111199919111111911111111091111919191","11119111111111111911111111111119191119909911911111","11111111119111111111111111111111911919190119911111","11111111191111111119191111111111119999191011111119","11111111119911111111111111911911111111111101119911","11111111111111111111191111111191919191119110999111","11111911911191111111111111111191111119999119099191","11111111111111111119191191911911191111111119909911","11111111111911119111111191111911119111911199990919","11111111111111111111111119119111111111111191199099","11111111111111191111111111911191111191911111911901","11111111111111191111111191119111119191111911119910"}

    Returns: 89

  41. {"09999999191191191111111111911119911191111111111111","90199919911111911119111911119111111111111111191111","91019199911111911119111111111911111111111911111111","99109991911911191191911111191111111111111119111111","99990911119119111111111111911111111111191111111111","99199011191119111191191111111111111119111111911111","91991109911911111111111111111111111111111111111111","99911190191199111191911119111111911111119111111911","19991191011191111111111111111111111111111191111111","91111919101911111111111111119911111119111111111111","11119111110999991919919111919111111191911111111911","11191191199019191191911111111111111111191111111111","91111119919109191911911111111119111111111191111111","11119919119990111911111111191111111111111111111111","19911111119111011191191191119111111111991119111111","91191111119991101999199111111111119119111111111111","11111111111111110119111111911111119111191911111111","11111111119199191091919111111191111111111111111111","11191919111911991901991991119919111111111119111111","19911111119111199110191199111199111111111911111119","11191119119991111991099191111911111111911111111111","11111911111111991199901191111919111111111111111119","11111111119111191911910191999111191191111991119111","19111111111111111191111019119111111111111111911111","11111111111111911199999101111191911111191119911111","11111119111111111119111910111119191111111111111111","91119111119111119111119111099111191911911111111111","11191111111119111111119111909111119111111111999191","19111111199111911191119911990919911119199991111111","11911111191111111191991111119019111111111111191111","11111111111111111919111191111101191911191111111199","91111111111191111199191119119910919111119111911111","91111119111111111111111191119119011119111111191191","11111111111111111111119119911191101119111111111111","11111111111111199111111111191119110111111111111119","11111111111111111111111111911191111091191911911111","91111111119111111111119111111111111901911991111191","11111911191111191111111111119111991110991911111119","11111111119111911111911111911111111199011911111111","11119111111911919111111191119191111919101911911111","11111119111111111111111111119119111111110191111911","11911111111111119119119111119111111999991011191111","11111111911191111111119111119111111191119109911111","11191111111111911191111191111111111111111190919911","11111911111111111111111991191119111911191199011111","19111111111111111111111111191911911111111911101111","11111111111111111111119111191111111111111119110119","11111119119111111111111111111111111111119119111091","11111111111111111111111111191191911191111111111901","11111111111111111119191111111191119119111111119110"}

    Returns: 81

  42. {"09999991111111111111111111111111111111111111111111","90919111991119111919991111119119111111911111111111","99019119991119911111119191111111191111111111191911","91101111911111191119111111111111111111111191111111","99910111111191111911111111199111111111111119111111","91111091119199191911111111191111111111111111111191","91111901999111111911111999111111111111111111111111","11911110999119191111111191911111111911111111111111","19991199019111111111111191111111111111191111191911","19911199101119119991191111111911111191111111111911","11111999910199119111111111111191119199111199911111","11111111111011111111911111111111111119111911111111","11119911119109991911119911111111111911111111111111","19911919199190911999111991111111111911111111111111","11911111111199019119111111911111111111191111111111","11191919111191109991111911111911119119111119111111","11111111199111990191191111111991111191111111111191","19119991191199191099911919911111111111119191111999","11111111191119199901911111111911911111111911119111","19191111111119911910111191911911911111111111111111","19111111111911111991091199111911111111111191111119","19111111191111119111909911111119191111199111111111","11911111111191111111190199111111111111111911111111","11111191111199191911191091119911119199111111111111","11911199911119111119919901111911111911991991911111","11111191111111111911919110111911111119111119911191","11111119111111911919111111099111111111919111111111","11119911111111111111111111901111191191111911111111","19119111111111111111111911910111911991911111919111","11111111191111199199911999111011119111911111119191","11111111119111119111111111111101911991111911111119","19111111111111111111191111111110191119919111111111","11111111111111111199111111119191099911111111911111","11911111111111111111191111191119909111111111111111","11111111119111191111111911111911990999911911111119","11111119111199111111111191119191919091999919911191","11111111199111119111111911199191119901191111991999","11111111119911191111111919111119119110199111191191","19111111111111111111111191919919119911011119111111","11111111911111911111191191111111111999101911991111","11111111111111111911191111911119111919110911911111","11111111111911111191119191191191119911199091191991","11191111119111111911911191111111111111111909919191","11119111119111191111111119111111111911911190191919","11111111119111111111111199119111911991199191099919","11911111911111111111111111111111111199191919909191","11111111111111111191111111119911111111111191990991","11911111991111111911111111111111111191111919919019","11111911111111119911111119111911111999111991199109","11111111111111111911911111111191119191111119911990"}

    Returns: 73

  43. {"00009900009999900009900999999999990099009999909990","00900090000909909099909000090090000909090900099000","09099009909999999990900090000009999990999909099099","00900090000999909990900909090900000999090099099090","90900990999999009990099900909900009990909999099090","90009090909990090909099999900090009900090099909990","09099900900000999990009009900999090909900009990990","00900000099999909000999990009000999909099909909990","00909990099099990999900990909990090009909900099000","00009009909000099090000099009900090099900999099990","90909909990090090900090090090009090909090099900999","99999909000099990909909900009009999909909990099090","90999909909909090000999990090999090009090909099990","99999009900990009990909909900909999999990990900999","99990099900900009000090909090009900990009999009000","00900990999990000090009000009900909090990909009009","09999099090009900000909090999990909090099999999990","00999990909909000000000909090090099990009990909090","09999090990009090009099990909090909009990099009090","99000900900900000090000009009900990090099999990009","99990009900999009000090990000090009999909009099000","00009909009090900090909090990090990900900909090909","09009999000999099090090009999900099909000990999990","90099909900999900990900009999099909099909099990099","90900909999090009090990000990909000090090090990990","90090990090009900909009900009990999999999099909990","90009990900009009090099990000099909909999009099099","99090000009090909900099990009909099000099999900090","90009009990900099099009909090990009009909999999009","90099090990099099009009099099090099009900090009090","99000990900090009990990909909909090999090099900999","90900090009999900000000990990090009990909000000099","90900009000909999099090909900000009900090009900090","90900099999999000909099009090990009000000090009900","00909909000909099990909909999909990999990000009900","09999999009909900900999009900099909009009990000909","90999000090009999909900999000099009000090000000000","99090099999999000090909909909990009900099099099999","00909090990909090090990909909909009000009900090999","09990909009099099099000099990090909099000900090090","90909009900900909909900909999009000909900999009909","99909009990999999909099000099000000900999000090000","90099900099909909999009999099990090909009000909000","90999999099090999099990909999090900009009000900009","90000999009009009909009999099090900000000099000009","09999090990990009009999990909000000009990900009999","99999909990990999990909009909900099009009090090909","90000999099099009000099099000090099909909000099090","90999999099999009990009999990999900009990000090900","00900000009009090009090900909099000909909009999000"}

    Returns: 162

  44. {"00009090900900990099909099999099900990999009090990","00900009909009909990909009009999909000099900900099","09000990099909900909009999090009099000009909990090","00009009000009999099099090990909990900990999099999","90090000909990009990090090090009009909090900999099","00900000900999000909909090990090999900990900999099","90900000009999900090009909990000900099909000990099","09090000099990009999000900999009900999909009999900","99009900009000000900999090009990990990009090909909","00900009000090900090090900900900099909900909099909","09909099900900909099099909999999090009990099099090","90909999009000000999090990990990000000099909990009","00009999090000900090990099090090009000909900090990","09990990000000909009999900000009000900000900000999","99990090099099009099009090900099009099990090900990","90090000000000000009999009009990000909990999090009","09099009009009900009000900000090099099909990099009","09909909900900000009009000900099900999000000909999","99099099099990900000990090900909000000909090090090","90990909009909999900900099099090909009990009009909","99000900900099090099099990909999090909009999990990","00099000999999090090900090099900999009099099099990","99990990909009990900900990999999999099009000009099","00900099099909009000909099909909000090000009099999","90999900900990900099999909090090009990990090900990","99900090009090090009000990900090099990099009909999","90090999099900900990909909000900090099090990990009","90999999009990000009099090009990090099009909990000","99000009909000090009999900090900000090999990900990","09090000999900090090999900999000909090990000900009","99000900909990999909909099090009900990090909000000","99999009009009900990909900000090099000099909099900","99090999900000000909099000000990009090000999009900","00990900999000009000999009990009009990900999999009","09909900090090909009099099000909990000999990990900","90099909990009090900900099000090090009990990009000","90000099900000909900009999999990990009900909999909","00009099099000999909999000990000000990009099090000","90090999099090999099000090009900099990000000000090","99099900009900990009090099909999009900000909900990","99900099900990009090999009099009009009000990990999","09999900090999099000900000999099999990099090909009","00090000909000999090990090909000999909009900090099","90990009099900090009990909090099990099090000090990","09909999900900900900900099999900099090099900090099","90999999099990099090990900990009099099009099900990","00099909999000009909099909000009990990000900000000","90090009990099900909990999009009909090099009090090","99999990009099900990999999009000000000999099990909","09099990990909099909009909900900090090009990900090"}

    Returns: 162

  45. {"00990990099999909900090990099099990099900909090000","00090009009090999900000090909000090990000909900000","90009990099909999099009999990000099000090090099009","99000909090999000009099099090090000099990090009900","00900099090099099000090909990000990909990099090999","90990090009099990990099090009990909909009999000009","90909909909999990000090090090900900999099999009009","09099090000999099909000000900999090099909009090000","00000090099909909990999900999909009909990000909990","90999000909909990909090090000900000900090999900909","99900990990990909999990999000099009090000009900099","90990099999099099099000009000990099909000090990990","99099999009900090090090990909099900000009909999909","90999999990900099990099909090099000990009909909900","99900990999000009909999999000900909900099000000900","09909999090999000000009900090090009009909090090909","99909009909909900909990999990090999990999009009000","99000909999009909009000090900909900090009999000099","00900900909999000000000090009099099009990900009999","00990009099900909900909000009090000090999990000090","00000000909000909009000900009999099099900909000999","90099990999099909000009999990900009909000900099009","00990900900009990009090090090000090099090990909009","90909000909099999000990099099099900900099099900090","99990990099090909990099900909090009900090900009000","00999000009909909000090900090909900009009000099900","09909009900090009900090090099090099900009009990909","90999090900009099000099909909099900999909990909990","99000900900090000099900990990009090999090990090099","00000999990900900900990009000090990009099999900099","90090909009999099099900990990909009099009909090090","90000009909099000990900909099090090909000900900900","90009990000090909900000909090900009900099900999999","99909009000900009090909000909909000990000090990999","00900900909900999090990090900090900999000000009009","09009990990909909000090990999009999000090999000090","99090099009009009909909000099090099000090009090909","90099999900900090090999009099999009000000900999900","90099009900000099099900000090000000000000099000909","00999090990000909099009990009900900990009909009000","00000999000099999909000909990990900000090090000909","99000990090099000999999090099999900909090099999990","00999990090900090909009900099900090900909900999000","99009999099099009900900900900990000990990900990099","09000000999999000000009900990909990009000999090909","90909009000990090000090009909090990099000999909900","00990090900099009090099099090000909009090990090900","00099000990999990090900009990009990099909900999099","00009000909900000999900900099990990900000909000909","00909990099090090990999000909900999090909009900990"}

    Returns: 135

  46. {"00999090000000909009900900990000009000090000000000","00900090900000000000009090000000000900000090000000","99009099900900000990009990000000000000000000009000","90009999000000900000000090000900900000000000900000","90990990900000900000009000000000000000090000000000","00099090000090090990000000000000900000009000090900","99999909909000990909900090000990090000000000000900","00990090099000900090009900000009000900900000009090","09909090099990909009090009000000000090000000900900","00000009900900000900000000090900009900000000000000","00000099900090009900000900909000000000000000000000","00900000990000909009900990000000000000000000000000","00000900909009900009000990900009000900000009009000","00000000000090999909900900090009000000000000000900","90099099900999000900990009000000000000000000000090","00000990000009000009909909009009000000900900000900","90000000909909000000900000009900000900009000000000","00900990099009900009000000000000000090009099909000","00900909000000000000990009009099000900000900000009","90000090900999090900000000090090000000000090000000","90000090000909999090009900009000000000000009000000","00000000900000900090009909009090990009009990009000","09909009000000090000990009900009000090000000000000","90900009009999090000990000999000909900900090000000","09990090000990000000000000090090090000009000000090","00000000900000990090099000099000090900990000999000","90000000009090000000009900090000009009090000990009","90000000090009000009000999909009000990090990000000","00000000009000099090990909090900900009900000009900","00090090090000009000000000009099999000900900090000","00000090000000000099090090000900900000000900009900","00000009000099090090009000090900009000000090000099","00090900000000000000090900009990000900900000900009","00000090000000000000090099000900000900909000900009","90000000090000000000000900900909000000000090990009","09000009090090009090000909090000990009900009999090","00000000900000000900009000090000000009090009000000","00000000000000000000090000909000000990909000090000","00000009000000090000000909009900990909090900009000","90009000000000000000000009990000000090909000009990","00000900000000009900090090000000090009090999009099","00000000000000090090090000090990000000909099000000","09000000000000000909090900090009009000009900099999","00000000000090000900900000000000000990009900999090","00090000900000000900000009900000999900000009009000","00000900000000000000000009900900009909000099000099","00900009000090000900090009009090000900999099900000","00000990900009090000000000009090000000090090000090","00000009000000900000000090000009000900099099090900","00000000000000000090000000900009999000009090090000"}

    Returns: 63

  47. {"00090990000090000900900000000000000900000000090000","00000090909000000000099090009900000000999000000009","00000090000099000000090900000000000000090000000000","90009999009000000000009090900000000000000000000000","00090909900900099000900009000000000000000000000099","90099009090900000090000000090000900000000000099000","99990000999000000000000000900900099000990909000000","00099900000009009990990000900000000000000090000090","09009090000990000000009000000000000000000009090000","00000990009090900009000090000009000009000000900000","09090090090009000009000000900000000000909909000000","00009900900009009000090009000000000000000900090000","90900000990000909909909090900090900000090000009000","00900009009900909000900000000000090900000000900000","00000000090099099000000000000000009009900000000000","00009000000000909090090999099000009000000900009000","00009009000999990909909090000000009000009000000000","90000009000090009000000900000099000009000000009000","00000909000000090000900009090990000900000000009000","00000000099090009000909090000000900000900000000900","90009009000099009099099909000090909090090000000099","09900009000900090000909099990099009900900900000000","09090000900090009009990900909009009000900900000090","00900000000000090900909099000090909900000000009000","09090000090090099009090909099000099900900000000900","00009000000900090090990990990009900090000000000900","00090099009090000000099009009099090990000009090000","00000900000000090090090099000909000999000009000000","09000000000000090000009090900909900000000900000990","09000090000000000090000000099009000009900090090900","00000000000090000990990900900009090099099090000090","00000000090000000900099009999990909009909900900000","00000900000090000009900909009009099900000900990000","00000090000009000000000090900090909909090990000909","00000090000000999000999990000009990999909099009000","90000000000009000090090990990000999009090900099900","00000000000000000000900009990090009000900909090000","00000000090000900900000000090999099900990090900000","09000090009000900009099090000909009099099909009000","09900090000090000000900000000090090909909000000009","09000000009000009000000000000099009000990000099009","00000090009900090000099000009009990990900000909090","00000009000000000000000000000990099009000000099990","00000090909000000000000000990000009090900000009900","00000000090009000000000000000009900009000900099999","90000900900900000000000000900900900990009090900090","00000900000090090990000900000000009900909999900900","00000000000000000009000099009900090900000099909000","00009009000000000000909000009090000000000990990009","09009000000000000000900000000000090000099000900090"}

    Returns: 54

  48. {"00090990009009000999000090000000090000000000000000","00009009900009000090000000900090900900009000990000","00000009000090090900000009009000090099009000000099","90009909099900900900900000000000000000009000000900","09090090900000909090090000000009090000000000000900","90090090090000900900900990000000090009000000000900","90009909999099000000900009000000009900000000000000","09990090000000009009900000900009009000000000090900","09009090009990000000000009090000000009000000090000","00090990000009900090000900000999090009000900009000","90090090900009000000000099009000900000000000000900","00090000900090090000900000090000000000900000000009","00900090900900099909999000000000000000000090000000","99000090099000000000009009000000000000090000990000","00099900090000099900000009000090000909009000900090","00900000000990900090999000009000000000090000000090","00009009000090900000990000000090900000090009000900","90990900000090900099090000000000000000090000009090","99009000090000090900099000000099900000009000000000","90000009000090000900000990090000900900000900000900","00090999000990099000090990000900090000009000000009","00009000000090099990900099000909090000000000900000","00000000000099090090000900090000900000900000000000","00000900090000000009909009909009990999009000900000","90000900009000000009990009000090000000000090000000","00900090909009900000090990900999009090000000090900","09000009000000000000000909009000000000000000000909","00000000900900000009009000000999000000000000000900","00900000009000090000000900900990000900990099099000","00000000090000000000990009099099999000099000009009","09000000090000909090000099099909909090900000000090","00009009090000000090090909090990990909900900000900","09000000009000009099009900000999099090000990000000","90909900090000000000990900000909900009909990900009","00000099000000000000000009000990900999990009009900","09000090000000900009000900009009009000900900000000","00900000000000000000000909000090909009000090900000","00900900990000900000000900000009099090909099009090","00000000000900000000009000009099099909009900900099","00000000000009099900000000009900009000000999000099","09990000000000900090900900000900090009900909900090","00000000090000000009000000000009990900999009990900","00000000000090000000000090009000990099090000099099","00000000000000009000000000009000009009099900099909","09000000000009900000090900000000090090909900000090","09000009900009000000000009009000000000000999009099","00000000090000000900000000009900009009000099090009","00099909009000009009000009990009009000000909000000","00900000000000990900000000000090000009999090990009","00900000000900000000900000900900090000990099099090"}

    Returns: 63

  49. {"00909090000009000099000000000000000000000000000000","00009000900000000000000000000000000000000000000000","90009990009000009900000000000000000900000000000000","00000999000900000900000990000000000900000000000000","99900090990000000900000009000000000000000000900000","00990090000009000000000000000000000000000009000000","90999909999909900900009009000000009000900000000000","00090090000000099900000000000000900000000000000000","09009090090009000990990000900000000000000000000000","00009090900090000090000000000009000009000000000900","00900090000000000000900009000000000000090000000000","00090090000009009090000000000000009900000000000000","00000000090009000000000000000900000000009000000900","90000990900990090900000090009909000000000000000000","00000090000000009090090000000090000000000900000000","00000009000009009090009000000000009000090000000000","00900009000900990900090900090000000009000000009000","00999099900009009009090009900000000000000090090000","90000000990900990009000009900000900000000900090000","90000000000000000990900009900000909000000000009000","00000000909000000009000090000000000009000000000000","00000000900000909900000009900000000090990000000000","00000090000000090000000000090900000009000000000000","00090000000000009000000090000000000090000000900000","00090000000009000000900909099900000000000099000000","00009090009000000999090090090090009000900000000000","00000000900000000999090000090099000009000000000009","00000000000000009000009099909090000000090909000000","00000000000009000000000090090900999000000009000000","00000000000099000000009090009009999000000000090000","00000000000000900000000009990000009000000000900900","00000000090009000000000000900900000009000900900000","00000009000000000099000000009900009990009000000090","00000000000000000000000000009900009009900909009000","00000090000900090009000009009990990000090900000090","00990000000900000000000000000000900090000000909000","00000000000000000000090900000000900900900900009000","00000000090000009000909000900009090000090009000900","00000090000000000000090009000000090090000000000000","00000000009000090000090000090000009009009900090900","00000000000090000000000000000000900000090090990000","00000000000000900090000000090009099090090090900000","00000000000000000900000090000000000000009900909000","00000900000000000000000090099000090009000000099099","00009000000000000000000900000099000900009990099009","00000000000000000990000000000900000000099009900090","00000000000000009009000000000000090990000099900099","00000000090090000000000000000090000009090000000000","00000000000000000000000000000000909000000009099000","00000000000000000000000000900000000000000009909000"}

    Returns: 18

  50. {"00090090090909900000000900000000090000000000000000","00090009900900000009000000900009000000000000000000","00000009009990000000009000000009000009000000000000","99000000000000009909000009990090000000000000000000","00000990009000000000000000090000000000090000000000","00009099009090000000099090000000990009000000900000","90009900990090900099900000990000000900000000000000","09900900090900900900090000000000000000000000000000","09000090009000090000090000000000900000000000900000","90000099009000900000099090000090000000000900000000","00909900990990900009000009000000000090009090000000","99900009009000909090000900090000000000000090009000","00900990009000000000090000000000000900000000900000","90000000000000990000000999090000000090000000000000","90000099099909009999009090000000000900000000000000","00000000900009009990900900090000009000000000000099","00090000000900990090000900090000000000000000009000","00090009000000990090990000090000090000090000000000","00000090000900999909900990000000090000900000000000","09090090009000900090909000000009000009900900090000","00000090000000090999099000900000000000900000000000","00000909990090000900900090000000000000000909090000","00900900090000900009900900090000900000900000000000","90000000000909099090009000990900000000000000000000","00000900090009900090090000900000009000000000099009","00090000009009000000000000009009090000000000000900","09090090000000000000900990090090090009000090090090","00099090000909099900009900909090990000000000000000","00000000000000000000000009090000090900000000000909","00000000000000000000000900000000090000900090099000","00090000090000000000000000990000000090000009900090","09900000000000000009000009000000099000090000000000","00000900900000000000009000090000090009009009000000","90000900000000000990000009999909909909090000090000","00000000000000090000000090000009090000000909009009","00000090000090900000000000009000090099009900000000","00000000009009000000000000000090000900000909000099","00900900000000000009000000900000990900099900900000","00000000000000000099909000000900000000090000909090","00009000000000000900000000000009090009909900900000","00000000009000000000000000000000900909090009900000","00000000090000000009090000000000009999090000000009","00000000009900000000000000900900000000000000009900","00000000000000000000090000000090909090009000999000","00000900900090000000000000000090000009999009099090","00000000000000000009090090900900090000000009909900","00000000000900009000000090000900009000900099990909","00000000000000000000000009009000000000000090099099","00000000000000090000000000900090000090900000900900","00000000000000090000000090009000009090000900009900"}

    Returns: 45

  51. {"09999999090090090000000000900009900090000000000000","90099909900000900009000900009000000000000000090000","90009099900000900009000000000900000000000900000000","99009990900900090090900000090000000000000009000000","99990900009009000000000000900000000000090000000000","99099000090009000090090000000000000009000000900000","90990009900900000000000000000000000000000000000000","99900090090099000090900009000000900000009000000900","09990090000090000000000000000000000000000090000000","90000909000900000000000000009900000009000000000000","00009000000999990909909000909000000090900000000900","00090090099009090090900000000000000000090000000000","90000009909009090900900000000009000000000090000000","00009909009990000900000000090000000000000000000000","09900000009000000090090090009000000000990009000000","90090000009990000999099000000000009009000000000000","00000000000000000009000000900000009000090900000000","00000000009099090090909000000090000000000000000000","00090909000900990900990990009909000000000009000000","09900000009000099000090099000099000000000900000009","00090009009990000990099090000900000000900000000000","00000900000000990099900090000909000000000000000009","00000000009000090900900090999000090090000990009000","09000000000000000090000009009000000000000000900000","00000000000000900099999000000090900000090009900000","00000009000000000009000900000009090000000000000000","90009000009000009000009000099000090900900000000000","00090000000009000000009000909000009000000000999090","09000000099000900090009900990909900009099990000000","00900000090000000090990000009009000000000000090000","00000000000000000909000090000000090900090000000099","90000000000090000099090009009900909000009000900000","90000009000000000000000090009009000009000000090090","00000000000000000000009009900090000009000000000000","00000000000000099000000000090009000000000000000009","00000000000000000000000000900090000090090900900000","90000000009000000000009000000000000900900990000090","00000900090000090000000000009000990000990900000009","00000000009000900000900000900000000099000900000000","00009000000900909000000090009090000909000900900000","00000009000000000000000000009009000000000090000900","00900000000000009009009000009000000999990000090000","00000000900090000000009000009000000090009009900000","00090000000000900090000090000000000000000090909900","00000900000000000000000990090009000900090099000000","09000000000000000000000000090900900000000900000000","00000000000000000000009000090000000000000009000009","00000009009000000000000000000000000000009009000090","00000000000000000000000000090090900090000000000900","00000000000000000009090000000090009009000000009000"}

    Returns: 36

  52. {"06787699778699698999686886787988898988887897788879", "60998688877796987967887888689986699776669766699687", "79079868998868788886799876997889898898798969898869", "89709778676679788798988788969696686988699867897669", "78990869766666666977977697789667668987668788969669", "66878069877697989886677789868689786778878687978787", "98676606869698977697966788989978989769666976779886", "98889960888786678687798977888869766797979678776966", "78967888086676696797886868676676787866768686967897", "77976768809766789789696796687987787797897699976777", "87866798690987789876698698997986987796777869987999", "67866667679079999999788866788698668866697899899988", "99676998768706799687667669798778789797797669989667", "96896786667960769688966997889898868769796886966977", "69776996677977079699768779688996888967669768877886", "98886877988996706986876687677789668788879986667768", "87886978699999960776669888768879778699678668666677", "99879866778966697098978679797899887967699797769798", "96897898987988987907996999888668879699787978797796", "97687677796978966870699789689988968667977687766778", "68799697866769786996096679866668788899778677766887", "88987769899866676799909769967868769688666976696778", "67987768668876869869690677886876986878998966877977", "88876779876869768697676076999886979778979687767988", "88789887699669788798767707679797866768779797966878", "68687987868697978999997670798796799966698999686766", "76997898669778667786898967076796987876676789696768", "88968688789898876988668979708669866687777978697979", "79799898677889878789676998680697889766677996976678", "99866698699678978869688877766078966689788776866688", "88896876788979987968667899969708879868688989987786", "86967989676888699988886676697880696669666879977777", "86866797779678867889779987988986089888767876688679", "99986886888686867876868769868679809688976896989896", "89868696777898888798896969769696990996669989977678", "97899777877877976966868779867686869067777698998897", "87988769699696689696987766786866889609798766877766", "86887897676679789797988886676989886790668889999679", "86766869787677686679769976676766796776067966696799", "86996767697999677987769779777886676796609896796966", "79898869877776998977868998677886769788790988786679", "87987696668868796796699679799798889678989067879878", "96668877896968686978776899879787798968698607966877", "76978768699996868787766779986699669869668770978788", "76889977999899866777768796669899699989677899068686", "89996777678986766696697668997687887979998767608766", "89879896767996776976667766676677897879666968880888", "86866789879969876777879987796677686876796887678069", "78666886979867867997877876677887797967967778868609", "97999766779877687868787886898867968769969878668990" }

    Returns: 344

  53. {"04593148151960765701715764177581160575302408694484", "40567253663411527894527789778317063780168409783785", "55033702899582672222223809118165919419691761128660", "96308043062172458597908719470818490494792131377138", "37380020921080161122461050383423356180174473409744", "12700098220833680033697428363299519978993978546560", "45042900217856341852561632535623381853997802456732", "83230800080346511203534949258930406279490736588638", "16809220018357762271677630556553038816118275142399", "56962218107784524071746777813143311783074942496095", "13921070870399069740264618786213809068979428427511", "94510883373054912111973023313994819115580707398720", "61878354589508293426931956787892602309819561501043", "01220366749480848155723635895047148196266363849774", "75641635750928027883332484856259321187717306169859", "62756841626194203025522570029562759689215574545877", "57281011249238730629898813979166325268717484991955", "78251082207141806005495644537120592272546687596049", "09292350774125822007102948495516200472240828344503", "14272323110165359570233629469130761020244349175727", "75294655672997358412036184388290799529834499902859", "12206963746732329903303349654954346356887833342454", "57381714764313228523630226552737354788414224107553", "77870469676096458696132091866143860263703719171314", "68015234371253871442842905013314490536516992625634", "49990829078365403489496150727231953206945110791681", "17143352587378809544365807087553892286517262221994", "77178635518189527396855612802941300407152966362079", "78803358636375699759842637720241684581095127189096", "53184269512980251151297132592040203843767394241271", "81612923541994566213953413544403236164096636062005", "17583930333427926060047341311030763169520994237845", "10943534038861373527733849836227056414894614673526", "66195180310104252906945695908036503135326759655223", "03906916819928195201964003204363630857851467152891", "57441982870131162240537252245811418012466745434108", "78198757186109886772258630808466135104369056315242", "50940839638596798220968366671349457240422534212150", "31671994109582727522884759510705838434070480243865", "06997999177816111444381014159692925662705207723296", "28124370849096757604474365725760461692050461083590", "44714987294753354683482791291369674705424056197111", "00637703742066078824932191662939156453806507194925", "89113826528713644789934920267464497564071670819138", "67134545144358159531931167231202661432270118079590", "98270458492904649947040729268463755311428991705457", "43879668267819951645227151129127352452333749950403", "47617576305707889057845366900208528121825191544051", "88634633991247575402555138979704229045699123950502", "45084028951034975937943441496155631820560158073120" }

    Returns: 172

  54. {"00332908266911358306927728039249170450402431066197", "00510445907634409062230995597974696435769425381007", "35056317268210081147475818717395003243710078637838", "31508538016709783304532072050062507418690552416285", "20680083969052345035055548334016430795990775736522", "94350053337576769482150641004697492532623773076698", "04138501760384078044095811912724513586278274359762", "85783310753086177780900613938043981214435957818395", "29209377099843116472512223144724313569669387476854", "60616365904903347276928438247861028888599369660204", "67869703940511960633581597767724679016230062645775", "96270530895083024412501971015062886868433213871922", "13105788401802038922862732460558465544384197464178", "14092646331320599587086754826926171241273585807981", "34073701139005076840978166800426818672877840399414", "50884677146239701685373149334568412395576590382920", "89135987670489610660328567951722815465240775287795", "30130407426495866077338355993579088834102352959049", "06403848773128486702070753803409660568786524665435", "62745240263227050720599392796385738945064009251443", "92450109595580933305063537181216394022526374819377", "23735590128068772379603039719559892100510447836436", "70525050281126838809330784630952693934942331979623", "79805686245977115373507048950276238055799698634886", "29174411239735646559338403219068377188627544738708", "85828113387124697532794830451772505541630849537008", "05703099127048839987176924080613683124128198143863", "39153013446162035909813515808479517755284148857351", "97704428477506041336190091080657946903383259677324", "29300670787059457543259207646070201618751806534450", "47961924262652262708155767175702231380027202592221", "94526743414286682995692682397020246544693766271446", "16054459306841848067386235659222072887304015098375", "79003918127867111863999370814034705053419914465655", "06370231389651825808423875376116250764092910537183", "44247552580852634859019015179635807031005915737706", "53419381681644796364203584250184856306677193287654", "05385264986841255485204581453804734160729572130763", "47769624652432852170559766123706340067067107167578", "06199273693387774086214923288529019072608959194012", "29000385990343760264602970843173492579780399002274", "44057729330215857350343658112827099915193047776657", "32757775866198497520743944945006111197059408751000", "15825347792375005249471849889626540532799780045570", "03647038466848332962889675186552045721110770019322", "68313751764760988565137333457397963383690754103888", "61766698605147927951969487377421857770742615930566", "10825673827919497044346870833424361767502605385084", "90382969507278129434732800652524758056717507286801", "77852825445281405953763688314016553643824700286410" }

    Returns: 191

  55. {"05698193448845483215533065700697270345995210925524", "50087027404854198940737725644450377408983846290636", "60090364777569327989618906470287073103556866986264", "98905623587175351711497775887698286162373461160824", "87050285883094611874805867278768029961835977526480", "10362069810393580274366113461603465906068501799632", "92628605320430872243859720168720203771631298119006", "37435950962193813329048228089048276994075335457464", "44758839065273020833011211743325881532892323405064", "40788126601637373311892420742634693813410046357012", "84773002510612223430716596387285125240008323594070", "88510341266089853253938301596739823198619065449469", "45679939731808512596168937951083611272088830108932", "54954303372980634900636620375938276730230644261058", "41336588032856079111308472792017458630664159654896", "89251871272513700801435005395139170049689604289259", "38711023033324900073628037178445922944809301157890", "29978223834259180002041484290573415501254745836985", "14817742313590107002653103237350787502888830498154", "50914439310360113220212406731604944130675098568017", "57648380087916346062087762311933174128126140791659", "33190654191363032451805319426397886885539188765979", "37875698126886858132750412584076177393270316501036", "07978172245396400414734074546448569451940951931602", "62076122129032703800611707448676945483798535921242", "55657308106170257436292470196510649280060394537584", "76482410773593731227345541096852855134745134643599", "04787668448957997933128449904672390005307974847037", "04078189327615258071164686640157323228237370923270", "64267670362709014536930465861035355187195247736782", "95896024238383134750397471575307750858758059848661", "70788308545938795304376860227570221724511151539333", "23020422861862419479181596833372067326265501494099", "77782607892217572184787644592552607658132864529216", "07369536135316802574467959503501770648027571149768", "34119979582127609551183442102187366090583446492867", "40066079314973344003289588302852254908044634186421", "58321614230820094120853130458784688080893453830696", "99538060840602668286152970732175210508057261283048", "98573637910183680587237496403951632849505590820865", "53635815208980499485690080577581527343750369695358", "28849523303086163780113953193201585464253068078753", "14667093242634500439481539377455067435696609288742", "06617185363504941508086154440791141643109890620055", "92915714435412621845775995689785451418286026094121", "29862915059406585396960323442343924983829782909915", "50606997574981497688151117373689499260305880490636", "56284604000490828910690625502763027846083770196061", "23628306617635959851573048937863916629465545213600", "46440264420928690547996224970213968716858325156100" }

    Returns: 176

  56. {"00082263134040802937368731342824182794880115050767", "00752659692620748559630797711975862062812591121542", "07016770001783647438810001625238336693427757455861", "85104410560986927746129319301856160395349334087194", "22640184285169534216966507128749101033304546852358", "26741062658336742687917227491028387923802054017335", "65718602120737658028601144105752804036285409100189", "39004220127940589569778977033072890894634763659190", "16052611063568694492146706841609784025804988792168", "39068522601085441780572445773062042068334974082038", "42105807310842436467845632476190384586451941368414", "06791379508013688117232096060657188647713958725133", "42886334684104596793042923055521495533796559209492", "00369670852340804093788362813409011062816445193927", "87695765644658084527344935741344340195488542852682", "04423458943890806048829672924386042452563577194755", "28774289416864460578568409079269700382959730067457", "95472605474170505092119131441322028235023074075470", "35341826986199247900258628440664253085806683889025", "79866789207733788200774318419650406110364536407928", "36819967158207385127047940715686736822030381083124", "63126107474348426157409411633588177613294220880152", "80096718625228498984790655471721880286144478485085", "77035219746093964163946039956310959246400718251669", "39010247043926370321415309202199815265337068039447", "17197747652632529188015990068219802938791027241606", "37631410874008790444764920097653653330275506532525", "41202903477651427441137506909462572463554157724978", "21518153136053149109531628790409544580061078801809", "89287070601654332366657312644001929000237387937293", "27354257069520486265882191560009239524278580247177", "45869822920719469240681099329190766623224742262578", "18311388703140307024718988655927079971411901888206", "86360809848891440250378510574236708870752074037953", "22601740424851020836670952324996980295943311073632", "70630908005650143201862229345056982011785039369057", "96993239268436958381218463368022779103835204570185", "42353364586732522550236658030043105130588190665081", "88433826834778459083021437250222479785061850408794", "81240083035191865206394039756372154838608145228436", "02794254441366839364044071541784123558180000049106", "15735047999954557065324700510357903021810090010265", "19534506874554473783827162057884071309540906633944", "51746493841895270436108887678702141940050060773598", "01408016703721810084084202578922800356420067044224", "52585105986209596780888534320346837676024137404599", "01572709228593247597305191241772873905889033440623", "75813311104149674409110646598215296010741295256061", "64695389631392855722258640270977053588930649292602", "72148590884327257058425976589378632751466548493120" }

    Returns: 167

  57. {"09999999999999999999999999999999999999999999999999", "90999999999999999999999999999999999999999999999999", "99099999999999999999999999999999999999999999999999", "99909999999999999999999999999999999999999999999999", "99990999999999999999999999999999999999999999999999", "99999099999999999999999999999999999999999999999999", "99999909999999999999999999999999999999999999999999", "99999990999999999999999999999999999999999999999999", "99999999099999999999999999999999999999999999999999", "99999999909999999999999999999999999999999999999999", "99999999990999999999999999999999999999999999999999", "99999999999099999999999999999999999999999999999999", "99999999999909999999999999999999999999999999999999", "99999999999990999999999999999999999999999999999999", "99999999999999099999999999999999999999999999999999", "99999999999999909999999999999999999999999999999999", "99999999999999990999999999999999999999999999999999", "99999999999999999099999999999999999999999999999999", "99999999999999999909999999999999999999999999999999", "99999999999999999990999999999999999999999999999999", "99999999999999999999099999999999999999999999999999", "99999999999999999999909999999999999999999999999999", "99999999999999999999990999999999999999999999999999", "99999999999999999999999099999999999999999999999999", "99999999999999999999999909999999999999999999999999", "99999999999999999999999990999999999999999999999999", "99999999999999999999999999099999999999999999999999", "99999999999999999999999999909999999999999999999999", "99999999999999999999999999990999999999999999999999", "99999999999999999999999999999099999999999999999999", "99999999999999999999999999999909999999999999999999", "99999999999999999999999999999990999999999999999999", "99999999999999999999999999999999099999999999999999", "99999999999999999999999999999999909999999999999999", "99999999999999999999999999999999990999999999999999", "99999999999999999999999999999999999099999999999999", "99999999999999999999999999999999999909999999999999", "99999999999999999999999999999999999990999999999999", "99999999999999999999999999999999999999099999999999", "99999999999999999999999999999999999999909999999999", "99999999999999999999999999999999999999990999999999", "99999999999999999999999999999999999999999099999999", "99999999999999999999999999999999999999999909999999", "99999999999999999999999999999999999999999990999999", "99999999999999999999999999999999999999999999099999", "99999999999999999999999999999999999999999999909999", "99999999999999999999999999999999999999999999990999", "99999999999999999999999999999999999999999999999099", "99999999999999999999999999999999999999999999999909", "99999999999999999999999999999999999999999999999990" }

    Returns: 441

  58. {"08369155672232426656382333599582428317445821512471", "80365166491923234426594625778818963742768692118694", "33038465969563419469566177879856988515276279244649", "66309762497645341994883462619924483917328156883677", "95890772223877856445689916656149555487723273272435", "11477082855886332295729437629559278627114321963944", "56667808937817767945952947296822134857137332987487", "56522280479585447221638683783511487364563486792627", "64942894073371528897136661514645782974196612187285", "79692537705329354471599258423662558479743243627124", "21973579350428271965357595176357994213992687946623", "29568885334075254994185822347443266748486872843948", "32647818722701724415113843676759467584149444946125", "23357675198510397173416938218373988415143187339927", "42438374532273087748741366977623127692129213524715", "23145364257529802849225617969772663824476986888834", "64916277841447720867654594272429211942668933916555", "64494292849941788041665494253488257471227479625432", "52694942976917446405397537754344672974188884372488", "66945551715453897150786985556793319162823814225321", "35586796153114726637047955991688798896942255577396", "89688253395811425698408694532661217616121198423885", "24639928697536154576780471128577171238338113846784", "36149496625889365459964016416269736164771751399937", "32761348659243619938597104613938548496455814656422", "35726773185238674475541640999858715587612849585718", "57866627541362992275951469057519772191831477361352", "97715298127471767555932119508185131637546353714119", "98996963436768792346128639780318989663186785123543", "58891585663473674437665298513078678288691699525945", "81524521465457272849867635181706871212656743126576", "28649921527393329843817988958860215889674997272762", "49945214759249162263721757719682078486359317359153", "26885738859668261571917341738771709376922687611766", "83835847284678731729871685219815890656728554882124", "37594683942754689491862145166228436051737314726218", "14118256771481924776913698936818875507599773681889", "72577774493845242142668467173829666170562736887481", "47237115179411146218913746851666397755069731363863", "46722136949844276282423751348957522396606132195533", "58683473632693968783218152166164928792960657788937", "86212334626841299488211788437679365377716064455383", "29757238148748183781591514758949185173335601512538", "12963126237247363944583149735937774436127410456867", "51282997169893589632548365371512368768317454097324", "11487689824443281272724958612227518288698515906944", "28432372776369486525736965143562912617358526760325", "46664946216919785443387947315957171284859358393091", "79473482822422135382988321514476562188633836242902", "14975477543857545281654728293562364891337387445120" }

    Returns: 217

  59. {"099111", "909111", "990111", "111099", "111909", "111990" }

    Returns: 9


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