Statistics

Problem Statement for "Solid"

Problem Statement

The solid in the picture below is made up of 1x1x1 cubes in a 3D grid. In this problem, we'll limit ourselves to solids that are made up of columns rooted on the ground (a column consists of one or several 1x1x1 cubes stacked on top of each other). Such solids can be described as a String[] of digits, where each digit corresponds to the height of a column in the 2D grid that makes up the ground. A zero means there is no column at all in that position.

The solid in the picture would thus be described like this: (quotes for clarity only) 

{"4231",
 "2101",
 "0001"}

The volume of such a solid is simple enough to calculate, but we're interested here in the surface area (that is, the number of 1x1 "squares" on the outer surface). Create a class Solid containing the method surfaceArea which takes a String[] solid in the format mentioned aboved and returns an int, the surface area of this solid. You can assume that the solid is connected, i.e the columns will be attached to each other in the four cardinal directions.

Definition

Class:
Solid
Method:
surfaceArea
Parameters:
String[]
Returns:
int
Method signature:
int surfaceArea(String[] solid)
(be sure your method is public)

Constraints

  • solid will contain between 1 and 50 elements, inclusive.
  • Each element in solid will contain between 1 and 50 characters, inclusive.
  • All elements in solid will have the same number of characters.
  • All characters in solid will be digits, '0'-'9'.
  • solid will describe one single, connected solid.
  • The volume of the solid will be at least 1.

Examples

  1. {"11"}

    Returns: 10

    This is just a 2x1x1 solid. It has six sides, four of them with surface area 2 and two with suface area 1. The total surface area is therefore 10.

  2. {"4231", "2101", "0001"}

    Returns: 54

    This is the solid in the picture in the problem statement.

  3. {"0000000000000000000", "0000000111111111100", "0001111111111111100", "0111111222111110000", "0111111122111111000", "0111111111111111000", "0000000000000000000"}

    Returns: 190

  4. {"000000528711731016006000000000", "000005195794786382818000000000", "000000152759877615783700000000", "000000538691532646444720000000", "000448878233764358916526040000", "000957681868472329823514746000", "000468262265258953611195968000", "353414949614353741985971227000", "523414326739461146956185360000", "883755114476244883219144444000", "382853216452287831155934152000", "582346653747546124514813113000", "872646187355968637442125842000", "488795678641528974985428554900", "184834779675978184943349141300", "466455559389179259181268463686", "577566824847934671312749443414", "879443115123574825441232482522", "813346335659785489878484611130", "913125858434291686688282682100", "276982916388781784196666212965", "171998843675177318752563287763", "639855577925843147586517873468", "527868897287142566166897778388", "513544481355194141741396768845", "148819842161491541656585512420", "014784988399688355411932978550", "008427963354683469419487790000", "007889062567387593411210000000", "000000005778849898967400000000"}

    Returns: 6280

  5. {"00000483233557236643863586596595242000000000000000"}

    Returns: 428

  6. {"0","0","0","0","0","0","0","0","0","0","0","0","0","0","9","5","1","1","5","5","6","9","7","7","9","9","8","2","2","4","7","2","2","6","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0","0"}

    Returns: 308

  7. {"00","45","22","58","29","95","97","00","00","00","00","00","00","00","00","00","00","00"}

    Returns: 164

  8. {"0000000000298312677266141258512617000","0000000000029878336583824727667587000","0000000000727497623388944724316553720","0000000004221124598529377256128529000"}

    Returns: 956

  9. {"9383344913","6887285167","3489652756","5817972595","7444498456","5748979959","7859857148","1197498189","4193311523"}

    Returns: 840

  10. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000500000000000000000000","00000000000000000000000000063430000000000000000000","00000000000000000000000000901130000000000000000000","00000000000000000000009001689550000000000000000000","00000000000000000000005131792925000000000000000000","00000000000000000000693521582222800000000000000000","00000000000000000004764675313689500000000000000000","00000000000000000923225234117476510000000000000000","00000000000000000771322126727293920000000000000000","00000000000000095948759195454466714790000000000000","00000000000006192649714998688862132145000000000000","00000000000008583778361117372426281717700000000000","00000000000366913751569389156342866218000000000000","00000000000661863315919828589429845415600000000000","00000000004229586926742295354169755254244000000000","00000000004652911114444946213111979663879000000000","00000000035992675682436127194983427743632300000000","00000000051567389483739187347172629271263492000000","00000000008626427355798983817866331163431998000000","00000000084867666758159974469964548178492498000000","00000000087779456734831622322885948959621670000000","00000000009717212235113373456512156543644340000000","00000000011559869288896517449116657941616166000000","00000000000826541284188371167775551722864537000000","00000000000215875257185665919748668621898183400000","00000000000536837711428372969389318835694181000000","00000000000096864467331252378459439695327427000000","00000000000047218584393111215153293812527200000000","00000000000065992983686214598357321234354000000000","00000000000884415513172437577829222383664000000000","00000000000052721273913166733552631593655000000000","00000000000034317277955117268395727163836000000000","00000000000061832744295799351964355299640000000000","00000000000091382495841516552971857197891000000000","00000000000006214397571391943767989845990000000000","00000000000000070516685473699358573254000000000000","00000000000000000098974184992257219746000000000000","00000000000000000000486684319781445380000000000000","00000000000000000000062512729382254500000000000000","00000000000000000000352193384985198810000000000000","00000000000000000000012396891667467210000000000000","00000000000000000000009853655753251800000000000000"}

    Returns: 8568

  11. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00080000000000000000000000000000000000000000000000","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: 34

  12. {"0000000000000000000789884713357943646455514612124","0000000000000000850897845717863973473237799876773","0000000000000900869373725163344715616421738395575","0000000000000423787664527585349337838334281182989","0000000000000387136953614376833398537388486533251","0000000000003446321631122923183758323819594138522","0000000000001828144953721332775576358886656674875","0000000000004331452965482739135187887465774929693","0000000000000716523796549511834456581427779182888","0000000000005911218111612654976932148293758441945","0000000000001469196291986422344133284349263993124","0000000000026622983995489879627251566958416316673","0000000000176139559158768576416693352321652896736","0000000000584449374164613958312381282369721434857","0000000000137897813222678298777136444276319253957","0000000000521347598171716313128725228874142817874","0000000098946237775875141431692952719674736198297","0000000018461226782693794296558517474147112155733","0000000015578848944656642327265557259615628546796","0000000078665293538241159377916819484379142473648","0000007362936236384541719538658663371939431775141","0000098792475188591823935989454976191423228629151","0000002658755198941969736244643626424437894941834","0000002639582347172981328435233665526223191469168","0005681227424126962443739283786631555588792918532","0006836451487312225523764591881897629849912673849","0078798762818533214959897878279937711955781935887","0006693395871754528712151679529462524655913338473","0000048131527549165915911226167142891427145548522","0000029568881432343519998298921544659886549758893","0000083997712648912149221686183534317576658881223","0004133913633728152657264931242842727619439664788","0046977669744971365811484183829998358147391774815","0055639951542414747453237397545835516491272248221","0151882734148874641351137869494926259563129143233","9279556999597716357854759972245217497125345587929","0049628687241591322931868883279997974596278416239","0009276534111343942334881784141725891137863756487","0007281728464533999317752122781499161227951438196","0009372326615351861858425132486867143646618123828","0085155699829952168538293244615569721727151139928","0041439497195366749666358132881633243531577232854","0572513535273861956557993176512114237765858516686","0077554216429141321515283514148416852524769473628","0091245551581399748127395771887153882184361188314","0281277973584619746788144386625256731299973531815"}

    Returns: 16276

  13. {"45891999926125742961612236264495251423","91516792431331275895491339953136384843","46428245661812997741748695527662766964","18927211913818345549816245142842674266","68616871945395276584152725482355327825","95132426743418384862164571326198643188","21768874561712726966644493784512777737","22532634659474957241472795986967824399","04596272222727124633998854125752438375","00318834887575357616972523877161662214","00031195924347118814756971823499783553","00075385445552894119232471836473629623","00899511133766441942215932737269823661","02809151975747399582399767399284948578","00000916233783947317533542898681331729","00009728376922755532666195723665487799","00000413767334199122245817396875655727","00000182569917356637724248893951156515","00000001761448467148563519493555143516","00000017866937623973881586524532663935","00000017478819961225354883643257829294","00000074919127142134695229979274749698","00000076896169281536153755632693493239","00000000956439371496317488571664371566","00000000086284567886124895933294277815","00000000006636883414436562587975423864","00000000006185713251545199279542683318","00000000008095121316264717291855653932","00000000000000328729646526427994831677","00000000000000073874884139565675924132","00000000000000000065184832463186185863","00000000000000000099191571635543973186","00000000000000000009838915725444895477","00000000000000000000059948252279568919","00000000000000000000000746080025991699","00000000000000000000000006000044539920","00000000000000000000000000000005005620","00000000000000000000000000000000427300","00000000000000000000000000000000074400","00000000000000000000000000000000000760"}

    Returns: 9590

  14. {"000000000029834694481983681582775858548231","000000067692744861671273672382397391442923","000000616944913385897657346241656138891241","000000000096363562916794793379933824545487","000000000887589771464961598574419635299835","000000000294998266935498323176171195147613","000000007782618189955713445685666967586235","000000000245279466146533158893153977294728","000000000356176257328664639788792215244789","000000000818884235466929116659837354957825","000000001115744717998872471919944998583745","000000001638395514234762466884695869714668","000000007158723216969928568337117445348276","000000000669992119746928689662636847999241","000000000054358275673581731371189642637692","000000000335475596331539592563144752578773","000000000162237269333249529865272699817794","000000000456534666785594378454319276893176","000000002791325266448366455823539224886563","000000009286976397242431933855535871338374","000000035179571499261281554483635348574827","000000034848442323339478188384114153545411","000000051368464266378297578254979757954623","000000044468128748896831922465232771199145","000000091248972551333697575522976154789262","000003282883673541164619225527959319923298","000000038233479572254753995944331368464762","000000000332823349559886726874871456139338"}

    Returns: 7870

  15. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000400000000000000000000000000","00000000000000000000007960800000000000000000000000","00000000000000000000098588921000000000000000000000","00000000000000000000024994238700000000000000000000","00000000000000000000032125664000000000000000000000","00000000000000000000053521354100000000000000000000","00000000000000000000032562358400000000000000000000","00000000000000000000037322455270000000000000000000","00000000000000000000077742262190000000000000000000","00000000000000000000665867671140000000000000000000","00000000000000000000053254228300000000000000000000","00000000000000000000054922635000000000000000000000","00000000000000000000005006360000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    Returns: 902

  16. {"02561334900000000000000000000000000000000000000000","00853736320000000000000000000000000000000000000000","07118783800000000000000000000000000000000000000000","91847956543090000000000000000000000000000000000000","25397496399380000000000000000000000000000000000000","55177165855800000000000000000000000000000000000000","25651728765000000000000000000000000000000000000000","16983494175000000000000000000000000000000000000000","86336897630000000000000000000000000000000000000000","95716491386000000000000000000000000000000000000000","39116675660000000000000000000000000000000000000000","96927667820000000000000000000000000000000000000000","33318785760000000000000000000000000000000000000000","43179932270000000000000000000000000000000000000000","95746969600000000000000000000000000000000000000000","52928636000000000000000000000000000000000000000000","15333951000000000000000000000000000000000000000000","83146788000000000000000000000000000000000000000000","19257187000000000000000000000000000000000000000000","24224600000000000000000000000000000000000000000000","14299600000000000000000000000000000000000000000000","26000000000000000000000000000000000000000000000000","90000000000000000000000000000000000000000000000000","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: 1928

  17. {"000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000247820000000000000000000000000","000000000000000006234920000000000000000000000000","000000000000000993125802000000000000000000000000","000000000000020775174216929000000000000000000000","000000000000054685718294622900000000000000000000","000000000000084395577131938250000000000000000000","000000000000177232288673882616000000000000000000","000000000005921526437467133249000000000000000000","000000000073661147176532381233150000000000000000","000000000000641994259625657747210000000000000000","000000000004381649316935843223060000000000000000","000000000696163172194156328114800000000000000000","000000003336921194647814781284200000000000000000","000000000004368171148815121244800000000000000000","000000000000009176754725321600000000000000000000","000000000000089346563645510000000000000000000000","000000000000001212144261743000000000000000000000","000000000000000046957675887000000000000000000000","000000000000000005516551520000000000000000000000","000000000000000097478824000000000000000000000000","000000000000000001750500000000000000000000000000","000000000000000000700000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000"}

    Returns: 2750

  18. {"0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000470000000000000000000","0000000000000000000000000000585800000000000000000","0000000000000000000000000930237700040000000000000","0000000000000000000000003788627772538040000000000","0000000000000000000000438222913593736920577681000","0000000000000000000000019757322455468122181989240","0000000000000000000000415367665145394766595598000","0000000000000000000000739649967197131222468963900","0000000000000000000007021373621629731171425835520","0000000000000000000085454741666535848699841551190","0000000000000000000074581555729639379855628855391","0000000000000000000084975553946747754747582445259","0000000000000000000051386273592169275178765288710","0000000000000000000063199263175965788971761798860","0000000000000000000042486878744729197933524774550","0000000000000000000000845737756891296717879298480","0000000000000000000073185848964461218271137635900","0000000000000000000016847246517771765145953821900"}

    Returns: 3556

  19. {"00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000000000000000000000000000","00000000000000000500000000000000000000000","00000000000300009200000000900000000000000","00000000000568066377000000200000009000000","00000000827226938866480400190400533390000","00000000352896593161360212661165327457300","00000000633645625497594765467934797149000","00000004862759112555887818875856388822000","00000005834423447735448321951255646514220","00000000498555813972562313597573897865930","00000008932361617721685173996415428692884","00000000025185255982533145941734535172336","00000000628566723419863474844916462372217","00000004991799279392761845136258351442515","00000042394227576262932955321925613859864","00000641283685141665983243241488945343847","00000093464534748991275862495941344358279","00000007591974782489134169629485426914691","00007127774974418198735429486439337572376","00003389127365546656196582419459845551275","00007446867997992983985612154551218124588","00031728424451352453153257139837666351859","00054629952233499849921557254133768556758","00009962539148398826989665854952935649498","00028927694331766851722977992913957672683","00000854572933195387312673256198385544322","00000085429115325819294316544832824364286"}

    Returns: 6930

  20. {"0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000007305700000000000000000000000000000000000","0000000004932290000000000000000000000000000000000","0000010095798568000000000000000000000000000000000","0000331268839852509000000000000000000000000000000","0000471267395451477500000000000000000000000000000","3407356671449777898874840000000000000000000000000","8573713833489757976355530000000000000000000000000","9421954474962776575139827000000000000000000000000","6941515114689161235739947000000000000000000000000","8786657324854912384191399000000000000000000000000","8968938412588435113417910000000000000000000000000","3829666473772456993992860000000000000000000000000","3124174393659933455117852700000000000000000000000","2462594669745894621871179890000000000000000000000","7429446684511959268199947790000000000000000000000","4391927411569199867197842400000000000000000000000","3525867791495633584894397032000000000000000000000","4421353687312623379693953494000000000000000000000","8991952615694111799134165999250000000000000000000","8368792812249898516963421379950000000000000000000","7658357594244442187415444435699790000000000000000","9448549518139775466939548611244377000000000000000","9488142495942431228611847665471993000000000000000","8651512398391561782933274158332229400000000000000","6898855768728855451912855275548282400000000000000","6429647869563279631835452669175533840000000000000","8963328399718146761813324456893258620000000000000","3446217948437416495373735369412617000000000000000","9772466121894537618635593516561144000000000000000","3974873355223238363891484667426596440000000000000","8447976335632721945392329952299114700000000000000","4334384872452892365249969766258219920000000000000","6389791544245659278928187645347915150000000000000","4379919729489566289989917465122687240000000000000","5442173377459461939687751497664437300000000000000","2542528514988287397456297235417348200000000000000"}

    Returns: 8536

  21. {"0000000000000000000000004000000000000000000","0000000000000000000000554202020000000000000","0000000000000000000007194166138400000000000","0000000000000000007624912844173580000000000","0000000000000000053482399372435600500000000","0000000000000008253529493712887628620000000","0000000000000091453565515518325783960400000","0000000000000136812962839892336646715117000","0000000000000095327372871839336484731596028","0000000000000076457139335143789447858918007","0000000000001292343398266878895552625978853","0000000000918356615158168414317157555887299","0000000000627973782878812713497835477247826","0000000000033897977791111171436312427984483","0000000000584868699873291468996325761595282","0000000000774584516428345227522244399769247","0000000003173269399872913391895739732497256","0000000021813679222516156278358458634883731","0000000039338218889422715239597224517957824","0000000484321381867469673259489423295819556","0000000493263552742635583791667147557576939","0000003223341643434692349546533766522992773","0000000869189782594272939297149721656454861","0000009662196211218481494468368142165524272","0000008591412356142314262663232662563254281","0000009165523714835744972439793551961557289","0000036852322794939932817895467452977353465","0000000282712226139842756111682426353444661","0000012798348853211276373446342776555435885","0000007637872936726736369961997715225641526","0000007374922315857943267734243535163916163","0000005739221931291578452865327412469581462","0000008547884237258653293754236878491516239","0000001399121874273499623793887792173357147","0000007103858652814938251795252279355337323","0000000087595896625829745747226699364177897","0000000085263619382733878511851294119994462","0000000000279817649432435219918751567751728","0000000003227187179688895361437645643797864"}

    Returns: 10256

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    Returns: 11648

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    Returns: 12734

  24. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000056800008000050000000000000","00000000000000000000000773000031734536000000000000","00000000000000000000063676400037223829200000000000","00000000000000000008083957860119321291882400000000","00000000000000180095533914971661286917233311000000","00000000000000329051859673394933432445875949908400","00000000000098341979386832445874275572885783571700","00000008097602138451322583519662349361424248621000","00000008374778882754574531168286793313552192415720","00000027697439287144683235816871963395789451529288","00000072634774932233216143584994612983277759722515","00002585799546483742351447769852931417194371941972","00004068926746868191981172478464766775131342479964","00056857518716587322675618691867149781833816622654","00279454731876176525341779251629186561695269588193","00124127765181967763342192649326741685497234765787","52411138374554952595882363858394836329984985487334","53273798183694458121931463319837623428731699673557","41659937789694267658415215375323442672658657893668","65593451282964375999239327433991941524427923678917","42925869772292649692552257181352293184695335252635","87995786419265757188615841722268727997787581691234","82593182831795486138435835386929734466196186164669","83463119414222518927946542148273848249346588682476","37749845486617551748594385589582635991266952984432","76753322883129436332883499812843871838551176395885","12474774158299458697544262233234571946439657444159","34815897244454137691713878293585378753379443658118","39668467541673785463996967721369614265479658544814","94683355244739525491335789131131577738277892538132","45262622894888251318971767675232981246458512968493","41836567733324586223644486769458242976346826141999","97464925524875615836819434239661145552652367873335","63445997781278699565553689671981542422217529897985","75696935288497116591866166775818365364967837577692","88449579288119111988921129999921962938452635743352","54378217518644475986619953182942916928914264323575"}

    Returns: 13494

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    Returns: 14092

  26. {"3389137625812293265651654866451896178764664525931","6566588867792417928163842667278436744349267631338","3884432827767738887943955742488746333335498176467","5135694632412493125574669916394223755125818536227","6231316879186683445477421235342383143745416915973","7656678739793923164753858413385557158424747373668","8672325286426164627441363276432467597953232288682","1835512377926861346935566685297881732627981925188","3413619731167525636239842464173176393944764957158","9374733365254741142986237111785732828788839925325","9764957428471824676617637932638455764619886237412","8815281853749843872729862717511484783293435532819","7716992962425711317859544657585475254142462839698","3919518353134271775145118125161928828753416556419","4633772826865254554491243824299514378295552775352","7525783571596723444667181698993873867585546254556","2521955638961823267272272992961745864793127466957","1845798714998445396429343962598428179179647652370","4226577659543536245489445641449595415965677779430","1727449184168678926422479913768381889186847675876","5678683547482597885289944725793589558323295649000","9749474269851891567927874258931899367456421510000","1678943693152688963157738996562645129994435240000","5312976359959677638886473537393198472656977980000","9384886186643913866833881473289197818224430500000","8733441569792975975377741696172438131497680000000","4716636872371866537257176161493437125492000000000","1323367862885419886614574818237936196372000000000","9346563875233424112812366566876754487005000000000","8642787683346187595116591236888988420000000000000","8525736537383714631618832487137444570000000000000","3569643733167124997265612182442437110000000000000","1594323684929976898949785267722319270000000000000","2272548525421933374941359448694319360000000000000","7946874919842153645617975394576715090000000000000","2981363521295181845341521649051458000000000000000","8229458716917528757538296333029080000000000000000","1694545254647228299338819783905030000000000000000","2973937226771386489638317450000000000000000000000","5883485854364774824241298300000000000000000000000","2121743963525641781975177200000000000000000000000","5186165372364597674677154000000000000000000000000","9675363251732869441337950000000000000000000000000"}

    Returns: 14876

  27. {"0000000000000000000000000000000900000000000000000","0000000000000000000000806000020100000000000000000","0000000000000000000400953700043484000000000000000","0000000000000000000593694199625721000000000000000","0000000000000000044192358424662571817140000000000","0000000000000000835931721518826758927392040001300","0000000000000000327941361286599329468955449005401","0000000000000000653324743391216256561764612497923","0000000000000075742274398933555625745292112277184","0000000000000692244969115247517789666574367285861","0000000000001856624533686459939988736775147629634","0000000000009793951933377341689241954683951248453","0000000000018579751765864716932963835881125316478","0000000089476724897727762813179714163621566441495","0000000014672847553531899244357155815949219247975","0000000008994989258192223364589466232572729811195","0000000047535611248624383957734513795616324918542","0000000011544456846681463732321496737148969945653","0000000309259681992375946867135638496536248112122","0000003229769583321231656546636721762926326575987","0000006954665439593649877829562984778737975233651","0000083738355651172465381613448369256435923437399","0000059551398765118756693968759536915279152338896","0000008829729679828898438423864689117279982111356","0000018217975145268523345692836169324536613199628","0000086848343998431921766227938867142515214415328","0000096227165222346549648199829195566437144542558","0000959154111185876332219319734676976365869596227","0000446746158491799133219491629399952648142317943","0000039353299597463867235538737338542163466724781","0000767183855134775965177656248822972779935952485","0000139597934767241177982785294634172158298938876","0009357649285434525349484269591751252825491322678","0014558892686274893292554255122591632687384298115","0063124763526265785628463128652544938181723685535","0593243596321253829184592134643393117472781383473","2378922823235588459686684759335922256586918719112","0982597166422475414647653634785569994886378482289","7158367433562641391153156979537556988347595484316","4914629944715882766779989373513723524896154457177","0033742668196486165946535272848781428829774673444","0361437578298791696168361212763896591492818241878","0987339884598917225926239152661475665854266724157","6625449198529211184324166736432397488718415117831","0416713925565623723847775312484222412856516389157","0000869269594866714356614749695612454635438223469","0000175733599162565426846761838467228924745189245","0000068964759411225841255165992119274314213941761"}

    Returns: 15800

  28. {"93976635946242146283437567692688948972474134460000","35886642934222623476376571229615546872376494110500","11848172915184453151774491713587147921265133585340","24845689743223155814914943383151476437331673695394","52253787291974978139264961845954748731837231643919","76421329333161272171193874342721988668583638437688","71963314991562763697857789889477566428189843625126","76599344126536661456578192293377365753897893352293","92883729584548895338288674719789746782967941111117","95227962673194474871588376792598635979141599688977","77266958188974495899826767772841324312279936214119","48546928312636426791991539857978918892572832877418","66263887662279222849418738336132564465746142695793","77753194682539763173692881558886225168149916436697","16652644198752611639327186927441183369298662284286","12231667353718414629181948516233256534733443845197","73253152653619159799343644157551547755673576365257","18359375427255187695736712562667445253378152597195","77671698335547654898171975931541274728378981293972","71781875558981842832176431687968683197832538448738","12367262689144833829997532265843476778557288525310","18682627958312686712943755657287551127937416933370","25325743321552425652242721814157732221845623826230","36238341365497385895258791823382813674863321559270","87753973531132917572231622683479284459299767619740","69811916863912224858959677842835836591176772544000","45772429431986883666219127915822717737472186771000","47196247472729785229446758539134257334423522860000","27428959534565726993386363784893731642471725860000","39343913954696992358328834848891744978187439111400","48289513567727297172499314161957464153444603953000","33529425956496871385544437975586419391895102200000","68831915571443977315854796912795135935382600000000","89234531965278579425355357755441483815364100000000","21615567929679593324748145274316812537976200000000","76436261421133392277544372345995568357197000000000","72434661167555482218693414841837636642460000000000","11237411482565237877447767896659268919550000000000","18984924617796622518221557961121531158200000000000","59764286971565499869148479225112543809000000000000","64683145773565328132423226671652700000000000000000","63346800003858199349167776644740700000000000000000","36326800001999991758775664755320000000000000000000","60083000000432393600312702218600000000000000000000","00000000000076700000082200600000000000000000000000","00000000000065000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    Returns: 16534

  29. {"7367342948318131775684922742781914723593124236000","2459766271988188121693181341387366193483725637060","5438196413953512428143554796639475532553344954880","1545665598117437857269294944212184687299425779250","8876813973258219294955276358493623922814313834260","2516647182342327124572219926178427778674162787110","6253657134158814446116289227226186449632183725100","8334679332382223211554189746351567677227161745870","3392451668284456269652192785384176637419222141000","1742154895537112436214938359286692476299635312000","5311441843438917143753118744553724333762792210000","7998336721456517645935563777889324492939351227000","2113937327419339637491231427111879596395354238603","7419727724221827787276391749733246669477614341756","3673813342498255679629895174148997258367311591202","5754126977985687141569449216621635548966312868802","5314244454914269825569523389254576963588897796874","4675611859179732696315395484245497453358244455734","8799189169628296419465985445638219367779344641733","5121161396456918135215354612546613284784282468150","5526373167577982844628752934167688565869496424630","3495229671893113493899323931837939596319616283200","3129941782293594523792484251268529672399856491660","6439361719893394487871937816787664547934368339000","7378847792484541231863515293992515696254565295200","2211858655895946162438795356644584966396196574200","8353767892952466711288921755287488637146645554000","9586999339962581751823894212289279644158838790000","1777197951815674424336536269697599988656879570000","7335493458635838648143511957739542253479678120000","6983839635514218866499543741328582949375111500000","7459633751835249731918424194493288321876474000000","7447282779139719397258724868281643416553431000000","8279241124742215591616811631439433135282450000000","6693513829972458464923325774631678566563400000000","6482611994573354989183423861792762412665100000000","7372121125536263962753224566579119212680000000000","6498763848193474831898222724212937812540000000000","5837172757244386544851657373427116069390000000000","2499558838151648658441486181291390005000000000000","8344255823667738614173239345656900000000000000000","2948614479651135133128834798372000000000000000000","1651769452726316857246872345582000000000000000000","4472269585367337236734588185883300000000000000000","5262453791518184135963759698306000000000000000000","5912988556329499141532749550000000000000000000000","3497539849441675691394436010000000000000000000000","2695471242995588823488470000000000000000000000000","9767449363479269923933965000000000000000000000000","9662581688528334148513300000000000000000000000000"}

    Returns: 17274

  30. {"000000000004223857558575597883812725200000000000","000000000062699812182391547126491316838938000000","000000000000377912724575814733334387123118500000","000000000005187235178733182211854122785344250000","000000000000256894956312793231277136622986387800","000000000000063788881229542535622629871953635445","000000000000851563998922413919217319397698769961","000000000048644378182122953848986338388545211155","000000893566216273549783568915216198969337153433","000000867454361516843514713227942778612496754471","000006554731183137689382268859642929231666933822","000208418586598542779866873833325869518122351479","009903878716438192142845824676287883346217947647","074487941774934427365672726487578226712578734431","029574236983154928226691591285828833754985188196","073647647744628814777191887957874139883282494846","001625586339684134622667723436663249362813526419","004949444341884385479833713642662338466298689183","079367636899575221935342636692891585125676627561","063563582994997245728244527674573511391688555719","183266229185677987622814537788857491972441732568","114523671763786553956882112412943132734472231747","148294454443199983255815827557142165824237674873","337247243957688511822863519566273345573218544696","323546274923351148533679372713839985457856474729","556863595129388297721444287736636286973416243968","172281975398199189495183336961686342858786826966","384517633296463175492853546633283319899175318727","927974636161172472597524226829811588322456311593","364911525392694571938996332113198345417761528711","913774458275877568148257522797883982575797254678","893939364834433692492723363674344184851444641399","967971389686427293539584315266271827673946522614","494968591588844997769219598742692926119268166334","419318391393861156268412652926957291812724871138","956584192788517916163924475412469665626621622335","682613875386235292421953335377356356615522693432","229999446842573379266177252536398644216817332222","727823923899851227577449887974373827574117874914","336296813665578844531227735251431695191473565178","591321668113129239578995972418942372927713815449","357853164367615273736248489672214145493938377863","917611389712227593816966339767835299574439282956","167494735559594538323676511116457338468314646987","918336737964251875811764226282656172491183154334","711726738233728256782811625729982236883657386352","588251577251331164689552375531615424776793911914","866568814453484957451584757385144619865516472872","728842775697842129776513594234845931558284943688"}

    Returns: 18326

  31. {"87199462861791399792627115195258316119977675336622","51458425618498299174431257728426928556531532514232","71165438885875919329367231283934271465436614124323","66247229234859443785283142997981829897159475338453","87143666456993555568655812545485462788195911837833","65943895575522291282233341229363378248997483811567","99536621591497352351932139629878484433876385178878","72893728285554236679277363877892758688946729968829","74994992489798322325981599957513275112637918179546","65149178548973896281956369665693413819421278457865","67152168555994847847321981953729662193299666231371","29595436795322463657475566823245676182753963842446","54655329488685251627875951377971999636389354139372","88757149642127281664372881397146252266671934459785","62386666833985337742688796519396866236442621874535","14661626717737879668528771235649335444965787551686","55942189372446311155165899311479996336611166268929","44914928685754859747896242322482978433824789257893","67223454562375863923271729181393161966679328363888","36474936571896147334195794185327364154589472916566","17555525272811653511789435797279473239859254459691","59119141327798553664364224228592876286885356629389","92133695322579124969286164154572653131175295628938","41925916425438277765832257572965561476661757385212","78765821686211488524658194256721396184823443189568","23318181318444145549765691731831867659795416947152","28656519774919923599646511119798875863329228859425","13419552363969795644269279919961974737422163686882","27454717257149174912372958265354164411828231499906","36859166314865839755352248172513117243377929790000","22852499558121881423392312226743888943875957800000","17839871533714631174217953927418761971854472400000","22832358394987165645923966542689282224235111000000","88424732268971563381379522511147314168536575100000","59635139274253521936295164521183293955796951000000","13483733126629331557926824675681119117846785000000","44118125472275795389718525721126661612189760000000","57171334875461116365211457797317426566791300000000","69176791795888695929515475526537452765653160000000","48927272889286693196534867773123981884285130000000","64633314755954328552334936377533323860840000000000","39323893291593412839271349379925738240511000000000","46955822313974944533943166746998998200040000000000","88363654639437438845731781962253395830000000000000","28866855952643234621279225594194864610000000000000","27389846838233429796868869388698898000000000000000","12123163997892654763636956438352521000000000000000","43745173549143682684583311238355648200000000000000","41587287754489451171629655655226252000000000000000","29337468367919132412668235616274179100000000000000"}

    Returns: 18930

  32. {"84221268722983524748366983233834829830600000000000","81191338142646832478428265361176326979710000000000","85743838663551534242335729311335845122510000000000","93531381913353142395198435777923911843917000000000","89459197915937995335531125384253877223688600000000","12689194597865799723876429441811286573237390000000","18217241946892882755435734541351151473197159000000","16931429652999858295866388753537924816991910000000","42567949158577453867564911322794367983961125600000","93365145828738911613538119358758588133576847000000","84445922844544555835315872545569475951744137740000","13485758377144767172983284684931158441988718141000","25691186395732375394911333422244699971533723644210","79133486613856325113586382724541386289326928925100","28761612956335424511335862738521936176354449559000","42597527262233254988834278776536144338916921698600","61291768466289268162551534786527294272464578929000","71861363193293563258219917253579633672478313789439","88466616783562114689251258724942551427955175966158","96714327641757439386997475421343892141146892475482","57238578122681527876123315274398616325238456438265","93817331753761395299755817722439835555176125262963","54769554752334926815654387552374532528277729931314","96187959428883196439648817398687414158537811215716","64655492196121264541966155871847228742455565483220","55878682451981569779645839931724693821121616794130","75897716385914536642845396426773718719529256932341","36754852923123497813611348882176616417166643324645","17778418453427795575457463736139231541783537123655","16333772494343712695755872275149364779141155738557","71668459683171828336773237475993494677687913253484","27682319292543544161944267545139447749516386936345","96887385898226972248296469289674483441238925616534","76312744558741746513635322979834688712294313317765","45965993426625473598427147943841369768518267616677","59197261948518964565218957667729597798576115634394","11238526378967993396367886659618975269432155343674","31938513227346727249775127672935315651467517187519","45927983181333593764491111584926932212871115448885","37913673666386615427544918122947379124895722293622","87231487329262979736634863658864434235255478464299","98137575325865996585695771625811318929233884126679","59489228336717914327919195724428833319739877245151","33894661816324261878561844984758139776349686567615","49459689565978657777767674374644628762491561411725","62544833514472438613412835424375266493672154918947","93269871961793119157595675133779249782126193835843","64691149552263486364212792788373596471496232777374","76964747834467167793368921296794768119981131971528","57433861534192296625786935387464222875294652234334"}

    Returns: 19576

  33. {"92824371231271371518269512518578935488358744797692","86316769268778221183478551494987379866579674646184","24511521439668272935228755461527373968185614598759","19286672532362412652588217367415428194789621963195","74221178141483223386179871325215983967395334867455","93688546416516532722159731465829362829374238266276","72413445267927546567629788593313635766357641553294","51154782343217714457394647546336129265664344422793","25489488426812251543954636392817775527184367999271","96492144934311217646857693526279289426135181786338","86795527623237398545744182556262483712316254449831","17552948823926925113663568826849474344838452851761","78796951284249224918776456329613861532776825549182","46695174386294787438896444612782916639867776278556","58147946338163563881875913487613326217826379649814","32418368187763121415724639485926146363137289249112","87721934214758299439621746573421394893774699136728","15694568668479786575614828234454963128287838864178","35466153415895445147523614387222123855211852513257","86196722283147715766618949263665198287571117115722","69636835853337996699471951816381115748715948877631","83583797483288156476817515754676725728246112439435","43439977474439376545279537222424668662765212212297","67285573911237138438315334831448823771734336661214","75677214771627376223496236346141854715381682937776","93352392158941425227628619451696277368414273497981","19451967838569364186697223949951423988829552224393","22383189467911431726738577716758213643293755315786","68247233912637428917648343219991375755822197392367","61273482649877633754896758697856499899254485849967","53347677793551465792233156958213883748779246748451","67595187455128492321514572545468248952529476417279","37396846687539829923653395623857556569933526375326","81644724732895381964326618664798983252689568128664","15961725356139984831944446419272431889888617787231","46428492785613873821251877181547154333397897244924","96751447281935414226573988397199933133538924313934","67245615153386141352956769377677227447514165994468","78677783237697518198172232212669631793145199276813","98745674988739229295666597194584516557751269135727","89356859527531257689362492127477294717226424853449","96186764158225614693172259847489436164248326512865","42598327253727175616249384797284221853942485385993","37153231186526451898188541771445141155925649592683","95147758696231647432361199935794664667375263629499","43524359341892776318185476821986947115377446288537","39196987531144621665551413197983956248313742778128","28111592382236442525162146593262769297293118568485","66888834874442456733333152187842426524891824229814","61381274345524834437961115584642879925911319179512"}

    Returns: 20372

  34. {"117693979","844599125","375972693","832961261","288672951","551534911","584186771","824824244","871975826","329654152","927665792","583793922","249672665","818693412","152195327","845792392","872488165","199699844","451217578"}

    Returns: 1624

  35. {"09090909090909090909090909090909090909090909090909","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","09191919191919191919191919191919191919191919191910","91919191919191919191919191919191919191919191919191","19191919191919191919191919191919191919191919191910","90909090909090909090909090909090909090909090909099"}

    Returns: 44446

  36. {"111", "101", "111"}

    Returns: 32

  37. {"5"}

    Returns: 22

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: