TopCoder Statistics - Problem Statement

Problem Statement

You have been given a String[] layout containing a map of an underground cavern. The jth character of the ith element of layout will correspond to row i column j in the map. Water has begun flowing in at the upper lefthand corner (row 0, column 0), and will soon makes its way throughout the cavern. Each character in layout will either be a digit (0-9) or 'X' (except for the upper lefthand corner, which will always be '.', and can be thought of as water). An 'X' means that water will never penetrate the solid rock present in that area. A digit describes how much water pressure is required to penetrate that area. The water will travel according to the following rules:

1) Each second, beginning with second 0, the total amount of water increases by 1 in the squares where water has reached.
2) The total water pressure is equal to the total amount of water divided by the total number of squares the water has reached. This need not be an integral amount.
3) At the end of each second, after the total amount of water has been incremented, each square adjacent to the water (not diagonally) is checked for strength. Every adjacent square, whose digit value is strictly smaller than the total water pressure, will become covered with water.

Above, the total amount of water, and total amount of water pressure are values corresponding to the map as a whole, and not individual squares. Note that the water will never leave the map. When calculating which squares become covered during a given second, all squares adjacent to water are considered simultaneously. In other words, one square getting flooded will not then change the pressure, and prevent another square from getting flooded that same second. In addition, only squares directly adjacent to the water may be flooded during any second. Before second 0 occurs, the square in the upperleft hand corner is already flooded, and the total water is 1. This implies, after the increment occurs during second 0, the total water will be 2, and the total water pressure will be 2. Your method will return the second during which the last square containing a digit is flooded. If this will never occur, return -1.

Definition

Class:: WaterPressure
Method:: howLong
Parameters:: String[]
Returns:: int
Method signature:: int howLong(String[] layout)
(be sure your method is public)

Notes

Total water pressure need not be an integer.

Constraints

layout will contain between 1 and 50 elements inclusive.
Each element of layout will contain between 1 and 50 characters inclusive.
Each element of layout will contain the same number of characters.
The 0th character in the 0th element of layout will be (quotes for clarity) '.' . Every other character in layout will be a digit ('0'-'9') or 'X'.
layout will contain at least one digit.

Examples

{ ".0", "0X"}

Returns: 0

During second 0 the total water will be incremented to 2. Thus, the total pressure is 2. This is clearly greater than 0, so both '0' squares will be flooded. Since no digit squares remain unflooded, your method returns 0.
{ ".0", "00"}

Returns: 1

Once second 0 is complete: Total water = 2 Total filled = 3 Total pressure = 2/3 Current layout ('.' denotes flooded): ".. .0" During second 1 the final digit containing square is flooded.
{ ".5", "44"}

Returns: 14
{".23456789"}

Returns: 71
{ ".X0", "X00"}

Returns: -1

The 'X' blocks the digit containing squares. Since the water can never reach the '0's, your method returns -1.
{ ".9999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

Returns: 22490
{ ".9999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9", "99999999999999999999999999999999999999999999999999", "9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX", "99999999999999999999999999999999999999999999999999", "99999999999999999999999999999999999999999999999999"}

Returns: 11906
{".XX1XXXXXX1X3XXXX02575XXXX9X35X0X7XXX76XXX6XX6XXX5","5XXXX6X459X0X3X5XXX8X12584X4XX47XX3X9X9XXX988XXXXX","2X03XXXXXX1X78X872XXX6X56XX45X6X0XXXX517617XX60XX7","XX5XX378XXXXXXX381X46XX7XX0X9X20263XXXX3XXX89XXXX0","X6X31966X158069261X9XX918XX5XX27683252XXXXX26XX60X","4XX14869XXXX201XXX66X1XXXXX5XXXXX8X7XX15X0X21XXX46","XX588XX9X72X41X275X5X646X013XXX9X5365X4X32093XX300","XX86XXX217986X3XX8X352X7XXXXX6577X3X4XXXX527563X2X","X1908990X3XXXX8X316X75X54XXXX893XXXXX47XXX38XX876X","0XX10XX7X6XXX9XXX0X13XX40XX229XX9XXXXX0XX2X2129X7X","0XXX4XXX666X3XX5X5041X04X6202XXX05143XX1X2X04810X0","X8X3X60XX0078XXXXX38X53XXXX9X2XXXXXX67XXX22XXXX4XX","845X64X58X87X141XX4XX5X4X51X2XX8XX9X0XX6X9X5906359","XX6XXX5XXXXX99X835583XX4X1X2X905X09XX7242607XX8454","81597X07XX4678XXX547X3773XX5XX8X5XX3XX8XX7X5X77X3X","X640X06X871XXXX2812X3X623XX5XX76X5X33XX50XX4329X6X","2XX4XXXX78XXX1X34XXXX1XX37XX2X85XXX6X738016238X1X0","1953XXX1X9X58912XXX9760521X93X05X5X87XX8XX1XXXXXX5","6X41X8X0X4X86XXXXX90425XX55X0X1XXX396XX57X1X8XXX40","X22XX32X8XX764XX1XX4XX8X0X3096927XX0X27X1X93258XXX","8817X4XX50X8X8XXX67646XXXX10X2XX9X95X59X5X977X2X3X","688XX8X95XX041XX8XX4X7X4X2X9X3107XX49XX1XXXXX83XX1","341X29X62X98XX9531XXX3X6XX322XXXX5X36XXXX1X3X9X1X2","XX3X789X8X3XX0XX79XX66X0XXX0X722XXX8X7XXXX77XXXX02","297X8779255X0XX5X203X63X4X0XX15X0XX269X5XX186XX178","43XXXX5XX6XXXXXXXXX66XXXX9X7XXXX1XXX00XX596X6X3X94","X9X2XX3X53X0XXX7417213X32XX152X54XXX9XX8X01X82X64X","XX46X132X6XX99X6X8XXX46X86XXXX7X151X85X0X2XX4X3X6X","7XX7XX02X96XXXXXX14XXX8XX346XX7X8XX2XXX8XX6147X6X0","1X506XX1XX418XX7X40124XX5X0XX5XXX22XXXXX868XXX8932","X4XXX0XX4X67X363XX9X1XXXXXXX237X37X1X53XX96X77XX0X","X29X484X555XX418X6XXX340XXX084XX57626X3X0XX5XXX400","XXXX4XXX5512X0XXX62X862X7XXX8X612X04XX05XXX0X9X00X","XX2XXX1X7XX4608231XXXXXXXX6X80XX82X4XX44X07X3561XX","8X60XX826X70375287X7XX785X14XXXXXXX0503XX8X93X0X14","X7XXX20X0X8X8X60X4X7XX832XXXXX88X9XX359X82XXX4533X","13XX169X5X0XXXXXXX4X8X6XX5XXXX840XXXX0X6XXX1X9X43X","9XXXX45X10XX1X7X3XX443XX8X6X03XXX09X7X62X00XXXXXX3","113X9X6XXXX51XX9X272X0XXXX76XXXXXXX156X89XXX241985","9X9XX4X1X1XX4XX95XXXX9X29724X1XX788X9X5XXX03X9X4X4","X09XX3031X7XXX5XXXXXX0X35X0X1173X137XXX5XXX7X1X95X","14XXXXX25X68X9XX55X0XX53206XX2962XXXXX00X1XX5X8XX0","X5XXXXX275780X3XXX8XX19XXXXX4X2X96XXX1X7X6056X3XX6","XX2207XX2389XXXXXXXX11X1X29912XXX3XXXXXX1X9X13X36X","XX03XX9511X4X5X986XXX7X2XXX37X884XX1337X6XXX65X831","XX14X3733X42X34X86X02XXXXXXX5XX20X1XX6XXX7XXXX77XX","1XXXX4X0XX8XX9XXX05X33XXXX3XXX206XXX4X658775X11XXX","987058XXX7X8XXX8XXX7981403X47X7XXXX63X5XXX7XXX798X","1XXXXXX52X0XX78XX7XXXX36X29221X74X7X66XX4XX10XXX6X","XX5X09XX432XX70XX79XX1X45XXX70XXX157XXX0XXXX7X2XX5"}

Returns: -1
{ ".85773817518159249980260123498780838839X6384717463", "242194445126058X5X93973323184X3X2747X842171X286218", "598X67822897X5X61920060240170X31256497102692827551", "54X36408X2548801X136636X63X9233X5949346X2274580162", "5108021354X77X4477509918743895XXX159760734682X9115", "50675439X0922X79916947371X01901217614357X0397201X3", "27186118593416001273104X29X76977141883369859598888", "80914X110594111X436841522027X668157791200228638293", "940105447111X78X25011577574123524X04XXX51614492051", "8804363635177X8246382862576X601870X74X139993345821", "X48877009143171494700XX3X16138573259477742520850X9", "1612588394913980186365912312794180464979928X986475", "595353627322252222412X883094875X522435782213598237", "17391130462739808923430X258255508957X4539278411137", "161196X087X1959308152303433460329X6588920868810551", "5X05897317154867X286045721X246725361349XX31742455X", "X6356984801056259X735653998127X568670314628X485224", "9320088X74859675156365X779X1X326767X79844419358X2X", "501055497X39933X951356690965X4X0844917186293X57985", "33413302X1903266448066612423X8038586XX5638903X7517", "2976X251488X07X87464805678010167X32X54795816434863", "18X8XX869283086X940798825X85739462998X3X3834428505", "2555044879X7309586526260751345349591446476X7010X13", "3233684019X20X770513442033X6950060849326X814045XX1", "7378853595549545X9334157X55988471X21X3295375894550", "7X9037779323X31807337002826035684828290777975X01X4", "88X7X979X7X39506209854X7415XX8999X2253016X25035787", "7683015X17268X16694392X6X101441658747937X198485622", "1624X697868860600X030X577356X121482831384673XX7334", "4662712538X13X4168850436576272047034855X5933218977", "363X88X712383950892X775895613479X5287X01182X614158", "0944515500373672425X6066X2108X3247524582717066X178", "637664873632165059897471275828595X6527260271X84X40", "305512X0X86260235207058X57705027964497905850617962", "935138076111582XX0369X62229X178X921961753325422758", "9987594X029815548549X858304X3181752985X5927X716348", "631347X74X23510X703201850X965X8803X5794257X7X32012", "597X2244071123X41X44196191328874040522673675346X00", "9501X65935X9375252X55199X261467XXX8118871789524X62", "732087503876417410X23X95740041509X58104X7543083124", "175978X56605686460653815X08585X89XX137855313405573", "51593131735080324921X2253417397314274XX231X5293926", "XX778362173333574X333953005142250501X79X21757X1264", "57350X7252505123850942501148X63526X106805090642546", "2331X884X085X068X18X612328531670865X09525594XX98X6", "6935X60327121102150643X49857600X77316813X362130791", "331X29776535751774789772426596X1961969905180339X10", "358X6622772195016X79558982X1024678439091439835013X", "305362575995391477X2744272460098891730534152558XX1", "28318306546365480X775289935065X4X48610794894231736"}

Returns: 18566
{".200874073541170X26926013476906X340572635548751782","8X401X444X4288701585X36453009X28226X361478X9046142","77824070X0264X462329651218652X4235120X453622585251","43422698317235941748X74487851X1146X981430X77798089","9X37775122849X63XX83258661936038X719453526995X7737","85521515173468304X6530493506092947307X560795739832","7355807224607885544938735X53369X70X060172256714893","58095451688711X37664964826498919439448939X1429809X","X65772X23724556136015257705928152124X25749069X5161","9104191740455X619069277534X38391398231085320154206","854435XX5X363X9906807XX1459143X632864X299549359647","137885341384283X90672583744619827210995216731182X0","5140353603X5279647035080568844267795020977X8090629","313151X3622721767083515X12360273399629856161X72X86","X94876631199054541621814X5552442243268268017101085","3468720869211XXX7475742241563875110999969666435894","5149347X59067752567008X01687304428635639137046X4X0","83891118424609X1500650048956582X4172X8X09729647871","1915397531232332XX564591765563050X731860X865916678","4866412013X750895977X6X73345629363255X41008051900X","359632876X68X3729440827X33513446051449301X04484430","0091820X4X4895510590231694X3X470771512769151636693","00046922208667910026X3565X588700X39816X59247176519","3784055735X5704513532X6941156X6628548268X152X90292","617989540X5417X818518472746410371483X879X299X96531","X73098986627X171189900395180645618618303X54163X946","806812996X8869224782006XX4131X5X5X1607484023X43054","91368316072053770222X113653693700X406849373012276X","987295X5992441450486886140558279X2685X5758X876223X","X570140671242575X04X530850X765016113636100X462X977","2288308659338185840963683X5355X765251726278666X468","47X343598X5632299425X9X25029X7X9208787111870630949","972428626864131X76119X059167580401549368X469873018","40270701578X036XX10920X908X53163883841300770343112","0X4790XX32362622437016774158100XX8182X950435593X5X","XX3X52667544396341344410013X6065X140X0104069994399","33808563471335540268640X3138X63X322086685593236120","13X369594549652X0X72615X7931089X39X2X449982X90951X","769X530X3602X216068500X06888660024926X756566070406","X62X442737887030861299771640XX57194931588336139888","X3301X9779X047656424645110555259619901518533XX1557","X833703124809678538461X956X187X5X99094452449821735","0143X41708X14652728646604775610782820847416131X3X7","682495817X73X1895440278911723X26381029724490413582","782763X09460042925X517097055472X811X1X6X0724170764","6X855X7X45434502X59119550871X36X46X9715651X0615775","6882051102041251414282184201856X0X614X983892653758","403967X393427X3775967666336X5760253XX468XX619X4463","009400X1401962X866748931802303654X0894345173881003","X2X9550110498X4128903177X91698X0068572290X65170747"}

Returns: 18558
{".07089015342965443727363054X5X0X87120X911050906777","03025724604999X877554050139966408386X56XX955170382","08533467X345970548126509X6X87419X9728613246207X289","3X8303810526X706X424X5445X291598353611531X50511011","801086X113248836071X394943512059251X34945XX7620384","X49983534315075X447127236558X3280X4165926398044424","8X8498352595536689560066687692843187X9X3X2X3X20091","5325X172845X63X46319X756741X910562726137555X002822","060760X80104XX055707X746563123649797392X675X857172","01092706610729688638715XX6227X36475017X02100154112","5994956241469087XX42433192411887558410535767056X19","3855X076X210775436X0319X44X8273079X794306976656648","05853173X32082093017X71684713506465399355419652728","7804563064X828509112745652257X910X3850375569144671","X9X0572347628666258X73407X6X237129800322X4X99X9565","571510950461X070X297907X848916203493X08230734482X7","766468924952226440X76889435275X3446108X25X6876XXX1","5X3566954456959003781206534226225671399757X393X002","809025645932640X8X50965635788370254X103X54255181X6","34447001119532097X696X14159703814599088450420869X5","X4575475271116710X93175373800641747787346X46891024","221882828898477759112898033X839563097069890306100X","26296X539X09770X676X02438846692611323873418962X874","1X5116X45234995X7146398530498922917347011468211206","9X296518274X032134X2891377057025122583X6524437X368","9X2644902X348099147949118421708615475864321513X595","8295960X65695X1X74691837888438301857X484X363172771","626572719X719359602X5X1960811143923909569730076103","X88648288X99X662823X86877X5583557309890569747X8593","2XX026553554083631628169552391699569X408085593660X","16424X4386745X0561865XX3917X9602172128354430494928","581023X648896273009418534645X286067493708776981555","2X21X08426069440047583XX89233376068703399XX1098417","079185X54242460748X75523510428679146X5814481526584","3647X5X22X59689982984X645044172018X65X795672586X97","311872594X94X30040514285271296X133074935X556353X79","75817X58567748X6X63855800307X11918115140836256457X","61397054981570XX01567X99810355053547073X59923354X3","12X18902189X0924X725X8817X0584780655X4873305329998","8X2697983973205055145758688X36778774X81X8280152090","9248905742867575646071488850227327X42X326369910445","X5654633X21654155141716861529876X34601713540195999","0366812330598388348390652X9085727053168072X7312200","90X87141700300X144941939407463X62312814040X1000802","2798X537407142919708153625825X48070364X06X13988856","1X3914X7X739914X73881676175187794553X87X1X940X2099","XX8544744368523322846728980851144X64X0574674976590","944111834954677960664265666813671X75690X50730129X3","496283072240X0240358129X8780598X84168X1237418X234X","4823670773530862X2899X0083561788799X73340X15284122"}

Returns: 20492
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Returns: 18504
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Returns: 18439
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Returns: 20411
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Returns: 18297
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Returns: 20573
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Returns: 20411
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Returns: -1
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Returns: 18450
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Returns: 18710
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Returns: 18225
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Returns: 20519
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Returns: 20385
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Returns: 18378
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Returns: 18424
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Returns: 18513
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Returns: 18306
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Returns: -1
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Returns: 20348
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Returns: 20330
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Returns: 20573
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Returns: 20483
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Returns: 18450
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Returns: 18603
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Returns: 18351
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Returns: 18343
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Returns: 20564
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Returns: -1
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Returns: 18396
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Returns: 18432
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Returns: 18405
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Returns: 18351
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Returns: 18198
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Returns: 18297
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Returns: 20375
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Returns: 18468
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Returns: 18405
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Returns: -1
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Returns: 20474
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Returns: 20510
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Returns: 20510
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Returns: 18306
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Returns: 20672
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Returns: 20357
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Returns: 18513
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Returns: 20429
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Returns: 20258
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Returns: 18657
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Returns: 18899
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Returns: 18926
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Returns: 18746
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Returns: 18710
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Returns: 18639
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Returns: 18899
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Returns: 18890
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Returns: 18647
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Returns: 18755
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Returns: -1
{".342174873374217806430666998902733619","X66175075178X19268694X9X11778054311XX","130X66X0581711060743X28147336739756X7","X020273X0300113X65X4507918731X2273701","03678962425X416987818X12182X407668791","436413821X3414X981X04X971980110111010","739474059943614799X1802660908X2182498","209870406921002939913017731X09017177X","239268XX0724170668X5656X6863577624X64","8X34X32X722X19X830956628418X27767640X","067869041X52X6739121715199X2122958242","X783747587X007X88758438765496X0284815","043142511X9358262X874102579861481X706","X50075590984372752030X095351216436831","157314894328205079X430986X9328256X013","1X88702464739131893773089095150156596","67607344574625003538423X1705845542203"}

Returns: 4706
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Returns: 6651
{".X967598635909513X3750346723491","573739X8975104396945720X20X992X","71507399934486X636X5849273X10X3","624711418534900563X731560415998","834631905X9562849X0223747005132","51516164584734560831X594886X858","35476763216X474324X2495343147X6","24982X65247715608885427937871X1","760325105780X506489474528037658","491245X39255131106X847751X24279","86X8208803232526535268929913X91","5902399328561X016450XX804291157","65225842813474576X3555314238308","583749725054990319193X603945520","6541795863580678X47041019802X71","7X25237156368X26772939469X39045","02X5371053X9215655638296X9957X9","3605553292X83X453503X75X27X3205","8X8X0197886065463814X9200770619","73351XX0668688215743906694X2497","983928XX492X11X2661313259368X0X","502472253609101X440135X555X7076"}

Returns: 4977
{".2045995181094X912521X7151X363782","009227899115X61581789870958526482","X809X5463844951XX120091363X93X94X","636602762404537600838146951932816","62X10561X6327172880473X2074206565","737X5745X600171501649141063821193","XX5873258138992X619405193X1X50X04","951032763993015457X82016388918644","0X00180600X3876441630X847447612X3","1163317X0391846904786153623182700","X8167052218X934XX1764X608X4924814","48508593855872233227X28243X4X6427","764569X44984799541XX878825X117485","56342349X9706933619851297X6833152","344135546382633X9XXX4531242994934","732147X16427629X56758849308932754","481049152251X873X3038530727XXX675","082955845009500833944309X10404794"}

Returns: 4373
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Returns: 15876
{".013844X305496636975","0X647488625638510059","05461X45265750025032","38X9552120X264752X71","31929694752719499X33","6575X862X58856613711","15851293786992782162","7X39X206911120002348","44X18134024143971905","69010210785523163938","886742496576670XX837","0508235911X740199631","211X9780X12216113994","18060604667X542X5137","33638X8024X49522940X","267746010X37513X8901","X8335827693184037665","500X9648300985252725","6327193499210842105X","9812715832360063X799","X3590249083362988395","140X8769X53243263313","8708720688667415306X","11347XX1708935X88215","993X3887567241460131","9559970243299781521X","61X09627XX3758216375","X90464640964757162X4","09731646556080600057","6793X474769335234706"}

Returns: 4474
{".75955X9XX2","32803230965","07360851991","6512041X230","79743414X56","779778XX104","0296285X906","2X647485256","706X5088274","4X88349986X","5X525347X95","5564107X180","45654688824","566731417X8","122X9649365","94990781939","70346088999","0621243910X","X3X84989862","8589440790X","50X42500X41","485X8564382","43855446564","86889584398","82X903891X8","55573796828","900X9348444","3X125083467","3787X6X249X","87512517640","221653060X7","084230X0342","X928XX53574","11543579174","7X913X3106X","594X8X14319","13365080835","97853459680","73444X11X45","36988160870","15284245507","63X10173X29","56019122903","06752738961"}

Returns: 3941
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Returns: 8658
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Returns: 9486
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Returns: -1
{".3668X81208256061X58875829847487168305078","12X8930802252434879494X47X56X7909X07918X4","48X37X085565524334433374X1659X46885X81668","1X553X83X6X1848588101594116XX4695231432X0","4474670X1585514920524932X763620701392602X","9621724231X1709X96559568208357514190X720X","8X862X518529650299803847656393905652X6831","79560X1310529046X686323X93X55122152006992","X5965X8905X868528087155834678417X13094971","445406500807X7062915019694992435821578480","85X9520994812X08207981614580X32X123639718","435514695762X770689184294185153842X413156","69527129X679134439X473X350782465993857040","08594365X09912X53250973175248X45631395187","42X418327925692798X839057656558572X245XX1","78X01000781348X215424114988X58374X25X3X84","26080449330X32623706339479077703537222033","87605X3409560786890X014343XXX7481487802X9","9897634230093052545946883XX725X44469X0173","03623797660X01972X26359201172829513899019","9674X92X4906225986033379978X5195673690611","799309794542627927718318943X4X05783X93X54","9618108299X150X2961617X10X134345X15763333","31X187323X2266866896865126928057466576X44","784626043710210464X11091922071346X55706X0"}

Returns: 7443
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Returns: 18836
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Returns: 18827
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Returns: 12267
{".7126648","71836430","354X2114","01887973","46X73534","90807467","20233941","55981488","75898621","X6378512","80577855","45892246","99911XX6","55418687"}

Returns: 881
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Returns: 12079
{".1334","83510","90585","84546","398X9","81024","9X424","97677","00X67","2X344","059X0","X3348","76812","15083","36X00","12474","2336X","73043","47616","X42X5","XX962","29192","847X3","84X45","74853"}

Returns: 917
{".6570996","278025X4","6032X859","54722X13","2859X974","88832855","8533X958","X82X3088","3118X508","70786782","97609057","26254787","675X58X0","11300081","7901658X","401XX201","85105121","8026758X","X3932030","48933564","932X0X18","5X639537","564639X6","91810069","08324243","14108613","X4419000","X8363440","66309845","2009X0X8"}

Returns: 1943
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Returns: 7901
{".X80142X1X21X","3XXX92X2X20X0","46X591741641X","5X8XXX6X4X281"}

Returns: -1
{".37719897777254735X3X8X7143891579303855","870529515092356400448492X0893X643954595","14330X094410368201X621787527XX040XX0530","216292674751645307X60095X0X34684X530918","7403688497841220X940673X366486583033007","1860522149X57189243350853773X5915593X04","725X248204645222X736562847914X61X041792","437671X4X5X043815X238672258991512645681","5X9955809404237431280297X743723X7732488","18XX943814024955209958X5771884X58721044","864349X011X28377X12369265427064683X0444","2464530240350X6XX2007697887333184269671","760724644259921324224X9X14X354139260765","498068369194886X1478836435213X8XX46X333","9X920X765322062599325178060996023962359","70989866374018801X9X3577196412X87257066","595649677608703219X722717208969X090X095","60475141825270649038375956428238524084X","5273627447437X5184324X56867993952840908","X005X5517049875X7255X347578461823772361","6XX5X20X591752X580X151X23X632787X159762","583040619290807190233X330797958793954X0","7785X802555959001233394365X74663366149X","6X1662341248745482587791430224411222652","66128559X12459362239042079246X93X645987","6086885XXX84X8276898737X600205X62315131","58X312X471111X53205744930224X4750363772","5797136X9031061X4X2X4567X2X991592141027","93X06354716X4317931X09X8701991496704971","216418505746094X5276686309X07X22XXX4677","0X79791420X12620429131955X91253X2X88X09","160X22181283294854687X4492449146710X597","6168872X778180914196X3303905X452X6X3030","42939455621X938378156429955002020324983","1510X338663236X070663692288025X050239X2","874625873X33941104X71494X18660015276968","4X38XX253423983543072045861X33249648728","52291538460892441X45X16630690492X388180","X4831955139781913768202219000872964XX93","694231265X37X46556189557022673996X62384"}

Returns: 11412
{".7X9036448X33576X5176904953818410497801","804XX71460014883XX2609196942251X21X7117","77341733479839X4786XX6775507X3524XX7020","135463345X13105065084617546169232X81537","32010312971X161237861168462248848XX6014","306X6185605223355511X92789663XX17103356","3166050636X28711252329X5071840903600866","71834723965770154211377395146X099053824","5932959585XX9X616332010X136734798469239","X7016025400X7X96X8077X9150722259X5383X9","6183078117600185858X473332X294XXXX8889X","83133256959151X768570138X75637462401356","8388003X26214770259512698432X2747543619","27557693179138385X11615329X43825X228633","090695121822X750X1720048XX557210X141737","1438X7033022183214389937954797572787647","266X555358392516947758611X6297094177427","75721X5412446X40625758X788606XXXX453764","026X1X823149832709210854X70X334X8931174","244X8602833X72620243587X190593397X46520","871939324XX570658X199187310345X23974794"}

Returns: 6641
{".12398080X7802215X4474061188310X48260651253","47340X4137421837509871494685036X136721438X7","9X2X06X889518048703307794989452441X81X05870","382014346229179X838007X3X08X55837X276284712","269X10X8474334031X8415X374517297840286XX159","4748027505046437484X733771X366X587960384149","187701593474018658987506354X540666628X75271","7084X291X99048288X971122X2885X0X52X087270X8","38160254087981320081X9355228679100582758462","93332993882237433766X2X7XX7160528X989384747","569716X11873121X8651923695963X15X366341172X","X32X261486906827817XX191127X1861X1788725600","9663745431711575247680815013X60X81023215426","64144X65X346642489576350829809154039X8402X4","83699590791582464X7XX804X900X8102X573513373","503471X72055896785182X295319X09126922236X99","09316522066X70348777708X795X310844138493141","980X54X974X9487X6277X3X89990988092526814500","9X96XX001862325432293015290653X65931699X595","192930352309829528X3865306921338X842291XX21","6082X68178X996765XX366408543442034X90248470","0243XX7X3X42X42X8X789373X165723263964413879","8461764901X4851170033X7X3288X03X49990415X20","15423373705615000791389054X4583447764453575","0393669281998576046708X10016X51684906139162","XX77779057272249427466292772375526251056758","80611X1448162032565586189X802X83072402535X2","74237461710994051176635118091X6646405087326","8X36773879X6X4491749458X4419433688035973535"}

Returns: 10142
{".394621743161255457618X248","19847558137512760753X78086","15X112981299951X2586598709","88X267866940974689X6057707","724564842189089X3674608743"}

Returns: 989
{".356416775984240368277954765998972X6047","1X5X63272399X84612801458X57400519905094","46346X5200X78278X1X6845X5576276120XX312","3X2X104427292748X25X16X23022970X9814569"}

Returns: 1125
{".01515972133XX8762010","X609X26719X7789991401","39480731454X0X9344289","851X209X4X22904122565","737968676338088928988","507165269855727352X18","78034933153061X4X6359","32041X12274222X61068X","818825048622902086614","0X677306095506190048X","687553800268905461446","32X6961075XX8086X8688","501X1X773819061803X91","1897233005127850472X5","872X286447888958X5030","428566408584689410264","53698902X363738576351","19460335X9565838X9X10","0458005086818X827X973","4571064304X6720601856","928691251983904678519","536464249X7297X110215","89918173513X021985542","130141517050515285393","3887X110X11749702659X"}

Returns: 3941
{".9145560","3379X808","06722141","XX048709","7X4X0715","7817323X","25125088","X0996X08","5872X108","X6594268","63508202","721257X9","91133395","27253X42","96783XX9","36340782","10764668","X06X0535","92841691","42892109","8459X9X2","X5136775","8222230X","076205X3","61596103","59605213"}

Returns: 1485
{".3XXX5247X9495069048751X869344","119759017X47399844300842563287","755239083599527387659X58629139","203X07846295162142X00X20X03148","705188388017373564458665166474","8661522312X25505X379463X465700","5102877X8418804X1109404602X347","19285XXX39X1XXX011585154101451","05236889485149026686901X9X55X4","7195X4X93273931311183241129707","4024X404X72422658540X60974X249","26253X4818697X1107945903193172","373295601276298302788701024024","6262000X2312157X410X08868X0010","X9438X450220737889110699329258","18X58X56263X108171822X4546697X","551XX3450381X7851017X854432900","050342862X06803350004511013719","8197000235963X650843012966X268","855X568541XXX6309217X606167470","8829475067066754609X18X6346361","097740525387023959568479607X31","X499X4721874932X4281X859667661"}

Returns: 5103
{".41413X282","8604XXX412","21707559X6","6X908631X3","04667X7690","8207708843","6248188668","61110X625X","8788452439","0088020154","9279803089","2989265422","1999X30628","X30X560651","2923303416","3286558768","0579580819","1444326009","243325678X","1658024X1X","8328487362","0241941003","3336815821","30X1687935","1967X46553","6708862746","8X45362229","1084845377","4287392943","0590886229","20X7573485","6027511775","9456955635","5828509503","179140531X","3299334503","0404134612","16X1415033","991688X669","X858805181","222832X059","4664X810X2","3228377886"}

Returns: 3617
{ ".5", "99"}

Returns: 17
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Returns: 18566
{ ".X0", "3X0" }

Returns: -1
{ ".1111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999", "11111111111111111111111111111111111111111111111111", "19999999999999999999999999999999999999999999999999" }

Returns: 11474

Statistics

Problem Statement for "WaterPressure"

Problem Statement

Definition

Notes

Constraints

Examples