TopCoder Statistics - Problem Statement

Problem Statement

This problem statement contains subscripts and may not be shown properly outside of the applet.

The greatest king of all times, Michael IV, is going to make big changes in his kingdom. The kingdom is composed of N cities (for simplicity numbered from 0 to N-1). Some pairs of cities are connected by bidirectional roads. We say that there is a path between different cities A and B if there exists a sequence of unique cities {C₁, C₂, ..., C_M}, such that C₁ = A and C_M = B and for each index i < M, there is a road between cities C_i and C_i+1.

The current state of the kingdom is miserable. Some pairs of cities are not connected by any path. On the other hand, other pairs of cities are connected by multiple different paths, and that leads to complicated traffic routing. Michael wants to build some new roads and destroy some of the already existing roads in the kingdom so that after the reconstruction there will exist exactly one path between every pair of distinct cities. As building new roads and destroying old ones costs a lot of money, Michael wants to minimize the total cost spent on the reconstruction.

You are given a String[] kingdom describing the current state of the kingdom. There is a road between the cities i and j if and only if kingdom[i][j] = '1' and kingdom[j][i] = '1'. You are also given a String[] build and a String[] destroy. If no road exists between cities i and j, then the cost of building it is encoded by build[i][j]. If there already is a road between cities i and j, then the cost of destroying it is encoded by destroy[i][j]. The costs in both String[]s are encoded as characters, where 'A', 'B', ..., 'Z' represent the costs 0, 1, ..., 25, respectively and 'a', 'b', ..., 'z' represent the costs 26, 27, ..., 51, respectively. Your task is to find and return the minimal cost needed for the kingdom reconstruction.

Definition

Class:: KingdomReorganization
Method:: getCost
Parameters:: String[], String[], String[]
Returns:: int
Method signature:: int getCost(String[] kingdom, String[] build, String[] destroy)
(be sure your method is public)

Notes

N, the number of cities in the kingdom can be determined as the number of elements of kingdom.
Two paths {A1, A2, ..., AR} and {B1, B2, ..., BS} are considered different if either R is not equal to S or there exists i <= R, such that Ai is not equal to Bi.
There can never exist a road leading from some city to itself.
The values in build that correspond to existing roads can simply be ignored. Similarly, ignore the values in destroy that correspond to nonexistent roads.

Constraints

N will be between 1 and 50, inclusive.
kingdom, build and destroy will each contain N elements.
Each of the elements of kingdom, build and destroy will contain N characters.
Each character in each element of kingdom will be either '0' or '1'.
For each i, kingdom[i][i] will be '0'.
For each i and j, kingdom[i][j] will be equal to kingdom[j][i].
Each character in each element of build and destroy will be either an uppercase letter ('A'-'Z') or a lowercase letter ('a'-'z').
For each i, build[i][i] and destroy[i][i] will be 'A'.
For each i and j, build[i][j] will be equal to build[j][i].
For each i and j, destroy[i][j] will be equal to destroy[j][i].

Examples

{"000","000","000"}

{"ABD","BAC","DCA"}

{"ABD","BAC","DCA"}

Returns: 3

There are three cities in the kingdom, totally disconnected. The only optimal solution is to build the roads between cities 0-1 (cost 1) and 1-2 (cost 2).
{"011","101","110"}

{"ABD","BAC","DCA"}

{"ABD","BAC","DCA"}

Returns: 1

Now the three cities form a connected triangle and we need to destroy one road. Optimal solution is to destroy the road between the cities 0-1 (cost 1).
{"011000","101000","110000","000011","000101","000110"}

{"ABDFFF","BACFFF","DCAFFF","FFFABD","FFFBAC","FFFDCA"}

{"ABDFFF","BACFFF","DCAFFF","FFFABD","FFFBAC","FFFDCA"}

Returns: 7

We have six cities forming two separate triangles. Like in the Example 1, destroy one road in each triangle (costs 1 for each road) and then join the triangles by a new road (costs 5).
{"0"}

{"A"}

{"A"}

Returns: 0

One city is okay just as it is.
{"0001","0001","0001","1110"}

{"AfOj","fAcC","OcAP","jCPA"}

{"AWFH","WAxU","FxAV","HUVA"}

Returns: 0

We have four cities, which are connected in such a way that there is exactly one path between each two cities. Thus there is nothing to reconstruct.
{"0000000000","0000000011","0001010000","0010010000","0000001000","0011000000","0000100000","0000000011","0100000101","0100000110"}

{"AhPEqkSFMM","hAfKPtsDad","PfAyGQkaqN","EKyAeLpRpm","qPGeASfNwo","ktQLSAnCAK","SskpfnAdJS","FDaRNCdAZz","MaqpwAJZAn","MdNmoKSznA"}

{"AgTqWWxEYH","gAXPgjzIRA","TXAleTmWvT","qPlAQkwxRO","WgeQAqgbJJ","WjTkqAiTzl","xzmwgiAuHb","EIWxbTuAwk","YRvRJzHwAn","HATOJlbknA"}

Returns: 65
{"0000010000000000000000","0000000000000000000000","0000010000000000000000","0000000010010110000010","0000010000000000000000","1010100001001001001000","0000000000110000110110","0000000010110010010010","0001000100010110100000","0000010000000000000000","0000001100010110100010","0001001110100110110110","0000010000000000000000","0001000010110000110100","0001000110110000110110","0000010000000000000000","0000001010110110010100","0000001100010110100100","0000010000000000000000","0000001000010110110000","0001001100110010000000","0000000000000000000000"}

{"AlEVtEnpnIhNYkymsbRFvX","lALjztNONEhCJayxPatXSg","ELAJCATUTsuXXnhWbwhtgZ","VjJAvwUPxMcZjkMWgxqmCv","tzCvAnxyikExNqukWuNJwm","EtAwnAnEIeVDZgvavNFQgu","nNTUxnAPEmoDNKkKGdHfnN","pOUPyEPAfTKssmLaIRwSjq","nNTxiIEfAOJIPOjHvwEFnw","IEsMkemTOAgDeMAnqPuBMm","hhucEVoKJgAtPIVLZzSsuM","NCXZxDDsIDtAvylwjUBtBF","YJXjNZNsPePvAeugvKJIWl","kankqgKmOMIyeAYIllFGQq","yyhMuvkLjAVluYAKqZHaHe","mxWWkaKaHnLwgIKAjKswVY","sPbgWvGIvqZjvlqjANktos","bawxuNdRwPzUKlZKNAMUGI","RthqNFHwEuSBJFHskMAqQR","FXtmJQfSFBstIGawtUqAFG","vSgCwgnjnMuBWQHVoGQFAm","XgZvmuNqwmMFlqeYsIRGmA"}

{"ApxHcyXbBLwrnihDSvBqHl","pArwqZRppNeoXrBJFcbjNR","xrAJOyFECltSSLKwStbXOH","HwJAgqNdNHTxdlPvvPFrEE","cqOgAFCnCqmcrEGlrTrUzO","yZyqFAxnLBXeRrPNkcKMvo","XRFNCxAeJDvfFUPdvdVFkP","bpEdnneAgEROTekgkFXQIA","BpCNCLJgAwMMYXHTSDUdOm","LNlHqBDEwApuWYVxxsDOZW","wetTmXvRMpAlgZqZIwoPkw","roSxcefOMulAKdoPxaUyso","nXSdrRFTYWgKAItsyDIWWF","irLlErUeXYZdIAFtAtQVJE","hBKPGPPkHVqotFACYFYOdm","DJwvlNdgTxZPstCAdXoaTs","SFSvrkvkSxIxyAYdADZeup","vctPTcdFDswaDtFXDAQpWh","BbbFrKVXUDoUIQYoZQAYsk","qjXrUMFQdOPyWVOaepYAbp","HNOEzvkIOZksWJdTuWsbAC","lRHEOoPAmWwoFEmsphkpCA"}

Returns: 608
{"00100000000000","00011101010000","10000000001000","01001000000000","01010100000000","01001001000000","00000000000000","01000100010000","00000000000111","01000001000000","00100000000000","00000000100011","00000000100101","00000000100110"}

{"APGlansxjsZuGS","PAjuBtTHdHDsGP","GjARMyTGNOLYmF","luRAYcCriVmAmL","aBMYAXCYcCmmrF","ntycXAMIkxCGyn","sTTCCMAtFhuMyc","xHGrYItAYbloIq","jdNickFYAcvqPa","sHOVCxhbcASucU","ZDLmmCulvSArFu","usYAmGMoqurAzo","GGmmryyIPcFzAY","SPFLFncqaUuoYA"}

{"AMyYCjXtDlipgy","MAvHFVmBNZLTtk","yvAMRSMaAaUEhL","YHMALXDgafkxJU","CFRLAoYnWaXvas","jVSXoAajPfTAOh","XmMDYaAtcmuhnl","tBagnjtAIFHwWo","DNAaWPcIAAvJXc","lZafafmFAAXuJU","iLUkXTuHvXAzxZ","pTExvAhwJuzAtj","gthJaOnWXJxtAh","ykLUshlocUZjhA"}

Returns: 87
{"000000000001000000","000000000000001001","000000000000100000","000000000000000000","000000000001000000","000000000001000000","000000000001000000","000000000001000000","000000000001000000","000000000000000000","000000000001000000","100011111010010110","001000000000000000","000000000001000000","010000000000000000","000000000001000000","000000000001000000","010000000000000000"}

{"AEQrPxdQdxDwLlYseD","EAafpQEFIzedMpEkwH","QaAiYmnbmPTCAvUvIG","rfiAwwjeAtPODHOhWe","PpYwAshiztwlHYuxeN","xQmwsAdjBJsFEURoAi","dEnjhdAbgWHoDjtIxe","QFbeijbACMXdHYDoWi","dImAzBgCAqcxYeGFWx","xzPttJWMqAuJSUMYig","DeTPwsHXcuASallHTX","wdCOlFodxJSAxWyACF","LMADHEDHYSaxAUdtvq","lpvHYUjYeUlWUAnIqf","YEUOuRtDGMlydnAmBh","skvhxoIoFYHAtImAEX","ewIWeAxWWiTCvqBEAF","DHGeNieixgXFqfhXFA"}

{"AvNPZFcilBAApYOpSe","vAXLpglDcMgkrMhQho","NXAGJUfsJQSEngNzoD","PLGAEKfMzapneVJWWz","ZpJEAhFaOoSrDmlsrn","FgUKhAmjPAiKUMSnzx","clffFmAMdNQIoZQsJK","iDsMajMAAgsVofYlQD","lcJzOPdAAaGiRWQXTd","BMQaoANgaAvJtptoRg","AgSpSiQsGvAlIGyUdp","AkEnrKIViJlAiTkHJq","prneDUooRtIiArEfww","YMgVmMZfWpGTrAzfxO","OhNJlSQYQtykEzAIvO","pQzWsnslXoUHffIAvV","ShoWrzJQTRdJwxvvAb","eoDznxKDdgpqwOOVbA"}

Returns: 12
{"00010000101000000000010000","00101111000111111101001100","01001111000111111101001100","10000000101000000000010000","01100111000111111101001100","01101011000111111101001100","01101101000111111101001100","01101110000111111101001100","10010000011000000000010011","00000000100000000000010000","10010000100000000010010010","01101111000011111101001100","01101111000101111101001100","01101111000110111101001100","01101111000111011101001100","01101111000111101101001100","01101111000111110101001100","01101111000111111001001100","00000000001000000000010000","01101111000111111100001100","00000000000000000000000000","10010000111000000010000011","01101111000111111101000100","01101111000111111101001000","00000000101000000000010001","00000000100000000000010010"}

{"AgYUFqnPYKkSVSrATbGVxRPGXF","gAqzapsjYfPExHvozAnxrfOSSz","YqACARCxRBLnVsCJEGARtpQTCF","UzCAnxWRgABXpOHIYOaCvbAZhx","FaAnAGjaVTEXeWKbjLBMSSMssA","qpRxGAXwWwXwKoFtAhMFKXarUe","nsCWjXAChUmJcbstsGzMUScTah","PjxRawCAphOPeHKJsjcpAmkQec","YYRgVWhpAJjjUlHKdStYfenwnQ","KfBATwUhJAQgLEIOznqkBAwIuQ","kPLBEXmOjQAKMzzDvhZLqNbUEd","SEnXXwJPjgKALBrNzqRTaeoHim","VxVpeKceULMLACAkVyBfrNZeVl","SHsOWobHlEzBCAzpQdmYywuTXu","rvCHKFsKHIzrAzACHpOkYoixSb","AoJIbttJKODNkpCAFicugHHROE","TzEYjAssdzvzVQHFAwcADeJprR","bAGOLhGjSnhqydpiwADbguvZxk","GnAaBMzctqZRBmOccDAufJAkFy","VxRCMFMpYkLTfYkuAbuAOQIhyB","xrtvSKUAfBqaryYgDgfOAfQlyc","RfpbSXSmeANeNwoHeuJQfAbBMQ","POQAMacknwboZuiHJvAIQbAjQH","GSTZsrTQwIUHeTxRpZkhlBjAGq","XSChsUaenuEiVXSOrxFyyMQGAl","FzFxAehcQQdmlubERkyBcQHqlA"}

{"AEUWEbMpLKnmxLoKjFVelnMWvD","EAHfiwXjFVqwafJlxDqxEyThqn","UHASKHwiFBZtaWgcVwzoYwiNXf","WfSAWKGArWrknSytARWjmCjuWi","EiKWAWWwPOCHWQKsiqsmiHzdPf","bwHKWAXiMOeAshmzUCFwmLgGny","MXwGWXAFLKwZACdqVgiJiPkRhi","pjiAwiFAfLxeLQtxajDIfQyeZR","LFFrPMLfAMrixwtoIsicokxuQi","KVBWOOKLMAAfbxBPpKmvDqiLyu","nqZrCewxrAAPNcYzYrBGvcSDAN","mwtkHAZeifPApTtHfUaksLQjYT","xaanWsALxbNpAAzekuUcRTWAyf","LfWSQhCQwxcTAAIhSAurWhfHAX","oJgyKmdttBYtzIAgMBMDdcfxgR","KlctszqxoPzHehgAVQJjzONymc","jxVAiUVaIpYfkSMVAvJiPPtvPJ","FDwRqCgjsKrUuABQvAtvvafGjg","VqzWsFiDimBaUuMJJtAFsWFObc","exojmwJIcvGkcrDjivFAIVytwG","lEYmimifoDvsRWdzPvsIAPMDBu","nywCHLPQkqcLThcOPaWVPAhhgI","MTijzgkyxiSQWffNtfFyMhAruR","WhNudGReuLDjAHxyvGOtDhrARj","vqXWPnhZQyAYyAgmPjbwBguRAL","DnfifyiRiuNTfXRcJgcGuIRjLA"}

Returns: 2811
{"00000100","00000100","00000100","00000011","00000100","11101000","00010000","00010000"}

{"ALJGzSti","LAQwHwlv","JQAeDtxM","GweAgDYi","zHDgArFT","SwtDrABg","tlxYFBAI","ivMiTgIA"}

{"AUCVcZYY","UAAgCucI","CAAEiboC","VgEAvVoL","cCivAHew","ZubVHAHB","YcooeHAh","YICLwBhA"}

Returns: 1
{"0111111","1011111","1101111","1110111","1111011","1111101","1111110"}

{"AzvpNrk","zAFfVLm","vFAaDFn","pfaAESX","NVDEAco","rLFScAx","kmnXoxA"}

{"AzeGcYA","zAgCTsQ","egAPSNK","GCPANfu","cTSNAIz","YsNfIAt","AQKuztA"}

Returns: 233
{"010011111010001000000011","100111010011110100000100","000000000000000000000000","010011000010000110110100","110101101110000111010001","110110111111111111110111","100011010111000101010100","110001101011011110010000","100011010101010001100001","000011101000000000100111","110111110000001001000001","010001111000010011010111","010001000000011000100010","010001011001101001100111","100001010010110100100010","010111110000001000000100","000111010001000001010011","000011101011010010010100","000101001100111000000001","000111110001000011000111","000000000000000000000000","010101100101010101010001","100001000101111010010000","100011001111010010110100"}

{"AWsfxNpGgaihNpOVoJyTRSCs","WApFulTmWYQFOBMonVDLFWQR","spAyJaEVzyddFCByQtdjmpjy","fFyAeDHfoXXtXBLUpNmWiUHR","xuJeAhJdayFLmWLtMHQFoZov","NlaDhAGmwxcrdcspsVLgkYNP","pTEHJGAyVGGaWWfuLieaCNNn","GmVfdmyACYlvwXqgOxXhLEgg","gWzoawVCASXCqKCaiTNaSUFL","aYyXyxGYSAErKWqATrGKVxLc","iQdXFcGlXEAVrPuNknGfhaPG","hFdtLravCrVAyLluNarpqeLd","NOFXmdWwqKryAziGKSnpqGAx","pBCBWcWXKWPLzAIKiANrQecV","OMBLLsfqCquliIApdxtlZNBv","VoyUtpugaANuGKpApjrmgRqY","onQpMsLOiTkNKidpAlSNhcVb","JVtNHVixTrnaSAxjlAWackko","yDdmQLeXNGGrnNtrSWAfisVZ","TLjWFgahaKfpprlmNafAdBMa","RFmiokCLSVhqqQZghcidAYGL","SWpUZYNEUxaeGeNRcksBYArZ","CQjHoNNgFLPLAcBqVkVMGrAc","sRyRvPngLcGdxVvYboZaLZcA"}

{"AawhZcfnVGXmBRaqLZFPMadg","aADVIRZnUeAZzuDaSdUzlKvu","wDAUNwtWGVsRkNifwStIHwdh","hVUAjsMyjqtBOXFZBwNJVkeS","ZINjANeAQiRrChTIZhPLRJqj","cRwsNAErJzlENIaZOBKtdmcZ","fZtMeEATVKWfEDWMpKUQFtHW","nnWyArTACWEpNRNSwQOjEibW","VUGjQJVCAABkCZksXQtLhDgg","GeVqizKWAAsAOIHlrRFGELub","XAstRlWEBsAmmQbiGrVKmYXr","mZRBrEfpkAmAyjGpCxUMwPaD","BzkOCNENCOmyAhlmrxUFQGQi","RuNXhIDRZIQjhABtbuvlMaKe","aDiFTaWNkHbGlBAgRYnxTgVC","qafZIZMSslipmtgAGliclwSA","LSwBZOpwXrGCrbRGAQJlDuWP","ZdSwhBKQQRrxxuYlQAMHaYOC","FUtNPKUOtFVUUvniJMAoJccG","PzIJLtQjLGKMFlxclHoAFWzP","MlHVRdFEhEmwQMTlDaJFAZLw","aKwkJmtiDLYPGagwuYcWZAJW","dvdeqcHbguXaQKVSWOczLJAZ","guhSjZWWgbrDieCAPCGPwWZA"}

Returns: 1879
{"000000001000000000000000000010000000000","000100000000100000000000100000000000000","000000000001000000000010000000000000000","010000000000100000000000100000010000000","000000000000000000000000000100000000000","000000000000000000000000000100000000000","000000000000000000000000000100000000000","000000000000000000000000000100000000000","100000000000000000000000000010000000000","000000000000000000000000000100000000000","000000000000000001000000000000000000000","001000000000000000000010000000000000000","010100000000000000000000100000010001000","000000000000000000000000000100000000000","000000000000000000000000000100000000000","000000000000000010010001001000101100001","000000000000000100010001001000101100001","000000000010000000000000000000000000000","000000000000000000000000000100000000000","000000000000000110000001001000101100001","000000000000000000000000000100000000000","000000000000000000000000000100000000000","001000000001000000000000000000000000000","000000000000000110010000001000101100001","010100000000100000000000000000010001000","000000000000000000000000000100000000000","000000000000000110010001000000101100001","000011110100011000101100010001000010010","100000001000000000000000000000000000000","000000000000000000000000000100000000000","000000000000000110010001001000001100001","000100000000100000000000100000000001000","000000000000000110010001001000100100001","000000000000000110010001001000101000001","000000000000000000000000000100000000000","000000000000100000000000100000010000000","000000000000000000000000000000000000000","000000000000000000000000000100000000000","000000000000000110010001001000101100000"}

{"AvznfYTZcYueiKXGbEjfsjgktxrUcdXZVosJZcF","vAkaYDolQjkAYoKcauBhFcbFCwYsHRpHDYqsDAR","zkAwosEaalvhzRAZimReJkFgEzDWDHqnUlYgyxL","nawALHXmRPktOSnVACxtITosMGWoWzzhfSagBRg","fYoLAwOxXMfhxDeiXHANqfXHJlJkxMTxsDrCmob","YDsHwAxLqIhrwYEsvYRcIzGlUUwbuguBcyVhKlz","ToEXOxAXutkBynYymMzvHiklNEpeiwBbsADvbCM","ZlamxLXAvIXhgzduonpsBFOspEfesABqlaPPWpA","cQaRXquvADvFZULGsavSaHQgqaRuPcjgSqoWekh","YjlPMItIDAKqoMDzRSIDNJjzYveCKylMoibgwDY","ukvkfhkXvKABhUxxnIsVdRwHWcyhLDfzATokfyT","eAhthrBhFqBAVUuNdzQDnRhroXdaDxjkCseJThA","iYzOxwygZohVAwxMSaPyhgJYvmetrhjnYeKzaEg","KoRSDYnzUMUUwAwKGEAVKOspQJDYZxOPQxbghqS","XKAneEYdLDxuxwAhEfWmOzuexCGLjDhOLPeoUlQ","GcZVisyuGzxNMKhAkkBAKWGyZJPoGjZPPWDVxKJ","baiAXvmosRndSGEkAxmZevsOeXADQWgnFBNYYpi","EumCHYMnaSIzaEfkxAWgNPGFDDIPjzldiwqbtFf","jBRxARzpvIsQPAWBmWAIDCllfexRfGvDisoHrNL","fhetNcvsSDVDyVmAZgIAVXAQkUZwgROiwSNKZKj","sFJIqIHBaNdnhKOKeNDVAdmQDWOpFohdIhfKtcr","jckTfziFHJRRgOzWvPCXdAklIlrTIpcUhSgRODL","gbFoXGkOQjwhJsuGsGlAmkAkLZCPKwCzVaLWrXO","kFgsHllsgzHrYpeyOFlQQlkAyfnXITdLjWGceuZ","tCEMJUNpqYWovQxZeDfkDILyAEVfZukWeFiXImg","xwzGlUEEavcXmJCJXDeUWlZfEAgLefoBCSNGRGR","rYDWJwpfReydeDGPAIxZOrCnVgAPmENnMWphzOF","UsWokbeeuChatYLoDPRwpTPXfLPAZaewvvOQnRp","cHDWxuisPKLDrZjGQjfgFIKIZemZAfPjUMIihfs","dRHzMgwAcyDxhxDjWzGRopwTufEafAmKNRlIFdb","XpqzTuBBjlfjjOhZglvOhcCdkoNePmAQClVRnrz","ZHnhxBbqgMzknPOPndDidUzLWBnwjKQAYRfGvgd","VDUfscslSoACYQLPFiiwIhVjeCMvUNCYAKOHFMd","oYlSDyAaqiTsexPWBwsShSaWFSWvMRlRKAzOZUE","sqYarVDPoboeKbeDNqoNfgLGiNpOIlVfOzAQdio","JsggChvPWgkJzgoVYbHKKRWcXGhQiIRGHOQAiKD","ZDyBmKbWewfTahUxYtrZtOreIRznhFnvFZdiAmE","cAxRolCpkDyhEqlKpFNKcDXumGORfdrgMUiKmAP","FRLgbzMAhYTAgSQJifLjrLOZgRFpsbzddEoDEPA"}

{"AJAFQotGoAIjYAufMcFBQClFwNKBthXBuxuvwPu","JAMjfQVioaWLavbMyASDyJXouKEBoyhtVoFCZVi","AMApbnhajZEeyxDjutwTLaGiTYmzeDxvDrDWVKH","FjpAQrFltdfHRhCANXzoAJGOaDwEBYvbYjqVuzm","QfbQAZVAqWYvsYbKalTeaBHPKDUDASfQzJyRZMC","oQnrZAxjcYpozOAqVbKTUNaJBFDXpncmhXfguEK","tVhFVxAJahpxJPiXdEWFqkZVLjheyobdslBFYMu","GialAjJAMLblHCRjRYrAYrlHTDaPnzPSSzkdLkF","oojtqcaMAqsLfVKvJjJyLStfGLWzGDRIHAowpJm","AaZdWYhLqAwwwxfEXvmlbdTQoLrJAKOgYojEtkt","IWEfYppbswAvAHofuktWlNCfZTbXEuqlnDArTJm","jLeHvoxlLwvAzxYteqRSUrsPRyAgmXLvTgbEzua","YayRszJHfwAzAqjWOceYOFevQYuUdUqCINnAvKk","AvxhYOPCVxHxqAvoOpAKvIkBVnXaXYEYNpjoxce","ubDCbAiRKfoYjvASSstFkSeHWVRXfLZKNONOFrY","fMjAKqXjvEftWoSAiheiPxrUdyLYgGazYSjKhGq","MyuNaVdRJXueOOSiABjVpnsybzFRosUQMOliLbN","cAtXlbEYjvkqcpshBALSgJNpFdxfZOMOHTTIqxc","FSwzTKWrJmtReAtejLArZveBoaAJqaLMIsgpUOX","BDToeTFAylWSYKFiVSrAmUCmcfDSXrOGPOmjgEt","QyLAaUqYLblUOvkPpgZmAuPrRCEDMFePkoxuXID","CJaJBNkrSdNrFISxnJvUuASUpzwFHwGvYhYhvvM","lXGGHaZltTCsekersNeCPSAVwAmlCQcDQWDuhzU","FoiOPJVHfQfPvBHUypBmrUVAPvQQZPHBZsOHeoM","wuTaKBLTGoZRQVWdbFocRpwPAkSiewLiDNsToUa","NKYDDFjDLLTyYnVyzdafCzAvkAdFqLlSAmjTnYb","KEmwUDhaWrbAuXRLFxADEwmQSdABZtLmrtvZtzm","BBzEDXePzJXgUaXYRfJSDFlQiFBAkteSIEzwwDM","toeBApynGAEmdXfgoZqXMHCZeqZkAVivoORJhNN","hyDYSnozDKuXUYLGsOarFwQPwLttVAXEyiRtzNJ","XhxvfcbPROqLqEZaUMLOeGcHLlLeiXAwgewlUYX","BtvbQmdSIglvCYKzQOMGPvDBiSmSvEwARGUvitr","uVDYzhsSHYnTINNYMHIPkYQZDArIoygRABwAXKG","xorjJXlzAoDgNpOSOTsOohWsNmtEOieGBADWsFg","uFDqyfBkojAbnjNjlTgmxYDOsjvzRRwUwDAPjCn","vCWVRgFdwErEAoOKiIpjuhuHTTZwJtlvAWPAvVW","wZVuZuYLptTzvxFhLqUgXvheontwhzUiXsjvAiV","PVKzMEMkJkJuKcrGbxOEIvzoUYzDNNYtKFCViAf","uiHmCKuFmtmakeYqNcXtDMUMabmMNJXrGgnWVfA"}

Returns: 622
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{"AltlGvRwJmkOAnOfLAYVxyaRgHRWOcNkcHsalztNzzuXu","lAPjsgTFxbRbgywgJwkfAnWeofiYBIUjEAyyKaeoUEhXm","tPAiRSYcXvUkKWSOKkyfaBxfiLMfyNBLRdOAWlzrLOAoN","ljiAcUMeXIsvCqoODaJlUhwNxZcMTacgawylRnBDJVIRd","GsRcAPsrtxGBqJPuvxXikuTAVJSxvlDvcbCvzhCExwCdS","vgSUPAqRLUowBWeotzyFCkkoMSZWiyrTJrDPSwXpcrdfL","RTYMsqAzevWGXGqsYfJGDIsgORCkKbnENztIVkOqaNPkk","wFcerRzAdDtTEyYGJLEEyTLidEvqbqbucVfDZBguiQpnk","JxXXtLedAwNcHCOjZNcOmloYWwJWagqQTnuENpzXqywTA","mbvIxUvDwASTSCjLakqnGvyNIusAhfBHOnDffCUJToFOB","kRUsGoWtNSAKdlKFwcpigrhFLgqyXhtzBKvgWgKtRzRon","ObkvBwGTcTKAMjYCwTnjLPNzKsHGurJTmsQVyyZaeJIKX","AgKCqBXEHSdMAveseCLhSMwsTSmoJOStppLExaTGEJaBb","nyWqJWGyCCljvAMhTedxQbDVIZAgrHakkbaMDHmTjbNDs","OwSoPeqYOjKYeMAxSfxQFpUqBFxKfbfvNFPGMXOQTOjFl","fgOOuosGjLFCshxAGkyrrwlkzXccHyJpBWFBxaweZCqYv","LJKDvtYJZawweTSGAxWynnRdGjoEULfCCjfcuytlCNIwt","AwkaxzfLNkcTCefkxAeflKqwHOfHrqbxgnPZqJBOTwWrZ","YkyJXyJEcqpnLdxyWeAaVOuvuCKrwVYwXySlbEAUjxNlr","VffliFGEOnijhxQryfaAkLhXQVgdTAHKDXvqAGrAMsSPG","xAaUkCDymGgLSQFrnlVkARvkYpAZNmAbvqYllfBrLlwEp","ynBhukITlvrPMbpwnKOLRAgOYEvKDumZIwldjjeZkYnvh","aWxwTksLoyhNwDUlRquhvgAmSGANjAOhySVLGDzszJtjV","RefNAogiYNFzsVqkdwvXkOmAkxMmEpEMHCellddFrtfUY","goixVMOdWILKTIBzGHuQYYSkALnBPgsErLoJhsjjGGdSS","HfLZJSREwugsSZFXjOCVpEGxLAqnFaCDIXcrThUWVlFzO","RiMcSZCvJsqHmAxcofKgAvAMnqALMcelvUMmEtTYrHwqY","WYfMxWkqWAyGogKcEHrdZKNmBnLAHXWnFpMKTxhigUiSt","OByTviKbahXuJrfHUrwTNDjEPFMHAvPqrQUyrNnlNwACm","cINalybqgfhrOHbyLqVAmuApgacXvAyjKuQWQGxworSvY","NUBcDrnbqBtJSafJfbYHAmOEsCeWPyAFUrqtapgcPJWVd","kjLgvTEuQHzTtkvpCxwKbZhMEDlnqjFAkwThKSpsNqANB","cERacJNcTOBmpkNBCgXDvIyHrIvFrKUkApIQyyIhdupjr","HAdwbrzVnnKspbFWjnyXqwSCLXUpQurwpACbetgsBWSiI","syOyCDtfuDvQLaPFfPSvYlVeocMMUQqTICAoeyzLccSgv","ayAlvPIDEfgVEMGBcZlqldLlJrmKyWthQboAkLnpgnqGz","lKWRzSVZNfWyxDMxuqbAljGlhTETrQaKyeekAVEwIEvOs","zalnhwkBpCgyaHXayJEGfjDdshtxNGpSytyLVAOTZQgEq","tezBCXOgzUKZTmOwtBArBezdjUThnxgpIgznEOAZbTfCC","NorDEpquXJtaGTQelOUArZsFjWYilwcshsLpwTZAJRyuP","zULJxcaiqTReEjTZCTjMLkzrGVrgNoPNdBcgIZbJAfHRx","zEOVwrNQyozJJbOCNwxslYJtGlHUwrJquWcnEQTRfAaLX","uhAICdPpwFRIaNjqIWNSwntfdFwiASWApSSqvgfyHaAIf","XXoRdfknTOoKBDFYwrlPEvjUSzqSCvVNjigGOECuRLIAr","umNdSLkkABnXbslvtZrGphVYSOYtmYdBrIvzsqCPxXfrA"}

Returns: 3335
{"000100010101110","000000110011111","000000000000000","100001100010011","000000001000000","000100110001111","010101000100011","110001000101111","000010000000000","100000110010110","010100000100111","110001010000011","110001010110011","110101110111101","010101110011110"}

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{"ARaNlDOxdKmEhGZ","RAmORhibhvVYPWg","amAStQNcBUvVrNa","NOSAgjqErdQLFjD","lRtgAcgKZlIaVcy","DhQjcAphyFxpJYv","OiNqgpAmLWcIgIs","xbcEKhmAkAPdnGU","dhBrZyLkAgVuelj","KvUdlFWAgAlUnRr","mVvQIxcPVlAMhQQ","EYVLapIduUMAFzm","hPrFVJgnenhFAod","GWNjcYIGlRQzoAx","ZgaDyvsUjrQmdxA"}

Returns: 682
{"01","10"}

{"AB","BA"}

{"AJ","JA"}

Returns: 0
{"00","00"}

{"Ak","kA"}

{"AS","SA"}

Returns: 36
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Returns: 0
{"00000000100000000000","00100000010000001000","01010000000001000000","00100000000000000001","00000000000011000000","00000010000000000000","00000101000001000000","00000010000000000000","10000000010000000000","01000000100000000000","00000000000001100000","00000000000000100110","00001000000000000000","00101010001000000000","00000000001100000000","00000000000000000100","01000000000000000000","00000000000100010000","00000000000100000000","00010000000000000000"}

{"AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA"}

{"AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA"}

Returns: 0
{"00001000000010000000","00000000010000000000","00000000010000000000","00000000000000000101","10000010000000000000","00000000000001000000","00001000010100000000","00000000000001000000","00000000000001000000","01100010000000010000","00000000000001110100","00000010000000000000","10000000000000000010","00000101101000000000","00000000001000000000","00000000011000000000","00000000000000000001","00010000001000000000","00000000000010000000","00010000000000001000"}

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Returns: 0
{"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

{"ACCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCC","CACCCCCCCCCCCCCCCCCCCCCCBCCCBCCCCCCCCCCCBCCCCCCCCC","CCACCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCC","CCCACCCCCCCBCCCCCCCCCCCCCCBCCCCCCCBCCCCCCCCCCCCCCC","CCCCACCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCCCC","CCCCCACCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCB","CCCCCCACCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCACCCCBCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCCACCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCCCACCCCCCCCCCCCCCCBCCCCBCCCCCBCCCCCCCCCCCCC","CCCCCCCCCCACCCCCCCCCCCCCCCCCBCCCCBCCCCCCCCCCCCCCCC","CCCBCCCCCCCACCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCBCCCCACCCBCCCCCCCCCCCCCCCCCCBCCCCCCCCCCCCCC","CCCCCCCCCCCCCACCCCCCCBCCCCCCCCCCCCCCCBCCCCCCCBCCCC","CCCCCCCCCCCCCCACCCCCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCC","CCCCCCCCCCCCCCCACCCCBCCCCCCCCCCBCCCCCCCCCCCCCCCBCC","BCCCCCCCCCCCBCCCACCCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCC","CCCCCCCCBCCCCCCCCACCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCC","CCCCCCCCCCCCCCCCCCACCCCCCCCCCCCCCCCCCCCCCBCCCCCCCC","CCCCCCCCCCCCCCCCCCCACCCCCCBCCCCCCCCCCCCCCCCCCCCBCC","CCCCCCCCCCCCCCCBCCCCACCCCCCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCBBCCCCCBCCCCCCCACCCCCCCBCCCCCCCCCCCCCCCCCCCC","CCCCCCCCCCCCCCCCCCCCCCACCCBCCCCCCCCCCCCCCCCCCCCCCB","CCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCCCCCBCCCCCCCCCC","CBCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCCCBCCCCCCCCCCCCCCCACCCCCCCCCCCCCCCCCBCCCCCC","CCCBCCCCCCCCCCCCCCCBCCBCCCACCCCCCCCCCCCCCCCCCCCCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCCCCCCCBCCCC","CBCCCCCCCCBCCCCCCCCCCCCCCCCCACBCCCCCCCCCCCCCCCCCBC","CCCCCCCCCCCCCCCCCCCCCBCCCCCCCACCCCCCCCCCCCCCCCCCCC","CCCCCCCCCBCCCCCCCBCCCCCCCCCCBCACCCCCCCCCCCCCCCCCCB","CCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCACCCCCCBBCCCCCCCCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCABCCCCCCCCCCCCCCCC","CCCCCCCCCCBCCCBCBCCCCCCCCCCCCCCCBACCCCCCCCCCCCCCCC","CCCBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCCCCC","CCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCBCCCCC","CCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCCC","CCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCCCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCACCCCCCCCCCC","CCCCBCCCCCCCCCCCCCCCCCCBCCCCCCCBCCCCCCCACCCCCCCCCC","CBCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCACCCCCCCCC","BCBCCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCCCCACCCCCCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCACCCCCCB","CCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCACCBCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCCACCCCC","CCCCCCCCCCCCCBCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCACCCC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCACCC","CCCCCCCCCCCCCCCBCCCBCCCCCCCCCCCCCCCCCCCCCCCCCCCACC","CCCCCCCCCCCCCCCCCCCCCCCCCCCCBCCCCCCCCCCCCCCCCCCCAC","CCCCCBCCCCCCCCCCCCCCCCBCCCCCCCBCCCCCCCCCCCBCCCCCCA"}

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Returns: 49
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Returns: 2107
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{"ABBBBCCBBBBBBBBBCBBBBBBBBCBBCBBBBBBBBBBBBBBBBBBBBB","BABBBBBBBBBCBCBCBBBBBBBBBBBBBBBBBCBBBBBBBBBBBBBBBB","BBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBB","BBBABBBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBB","BBBBABBBBBBBBBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBBBB","CBBBBABBBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","CBBBBBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBB","BBBBBBBBABBBBBBBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBCBB","BBBBBBBBBABBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBCBBBBB","BBBBBBBBBBABBBCBBBBBBBBBBBBBBBBBBBBBCBBBBBBCBBBBBB","BCBBBBBBBBBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBBBABBCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BCBBBBBBBBBBBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBCBBBABBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BCBBBBBBBBBBCBBABBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBB","CBBBBBBBBBBBBBBBABBBBBBBBBBBBBBBBBBBBBBCBCBBBBBBBB","BBBBBCBBBBBBBBBBBABBBCBBBBBBBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBABBCBBBBBBBBBBBBBBBCBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBABBBBBBBBBCBBBBBBBCBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBBBBBBBCCBBBBBBBBBB","BBBBBBBBBBBBBBBBBCCBBABBCBBBBBBBBBBBBBBBBBCBBBBBBB","BBBBCBBBBBBBBBBBBBBBBBABBBBBBBBBCBBBBBCBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBBBBABBBCBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBBCBBBBBBCBBBBBCBBABBBBBBBBBBBCBBBBBBBBBBBBB","CBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBCBBBBBBBBBBB","BBBCBBBBBBBBBBBBBBBBBBBCBBBABBBCBBBBBBBBBBBBBBBBBB","CBBBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBCBBBBBBBBBABBBBBBBBBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBCBBBBBBBB","BBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBABBBBBBBBCBBBCBBBBB","BBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBABBBBBBBBBBBBBBBBB","BCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBCBBBBBBBB","BBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBBBBBBBBBB","BBBBBBBBBBCBBBBBBBBBBBBBCBBBBBBBBBBBABBBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBCCBBBBBBBBBBBBBBBBBABBBBBBBBBBBB","BBBBBBBBBBBBBBBBBBBBCBCBBBCBBBBBBBBBBBABCBBBBCBBBC","BBBBBBBCBBBBBBBBCBBBCBBBBBBBBBBBBBBBBBBABBBBBBCBBB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBCBABBBBBBBBB","BBBBBBBBBBBBBBBBCBBBBBBBBBBBBBCBBBCBBBBBBABBBBBBBB","BBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBABBBBBBB","BBBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABBBBBB","BBBBBBBBBCBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBBBBABBBBB","BBCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBABBCB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBABBB","BBBBBBBBCBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBABB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBAB","BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBCBBBBBBBBBBA"}

Returns: 1176
{"01111111111111111111111111111111111111111111111111","10111111111111111111111111111111111111111111111111","11011111111111111111111111111111111111111111111111","11101111111111111111111111111111111111111111111111","11110111111111111111111111111111111111111111111111","11111011111111111111111111111111111111111111111111","11111101111111111111111111111111111111111111111111","11111110111111111111111111111111111111111111111111","11111111011111111111111111111111111111111111111111","11111111101111111111111111111111111111111111111111","11111111110111111111111111111111111111111111111111","11111111111011111111111111111111111111111111111111","11111111111101111111111111111111111111111111111111","11111111111110111111111111111111111111111111111111","11111111111111011111111111111111111111111111111111","11111111111111101111111111111111111111111111111111","11111111111111110111111111111111111111111111111111","11111111111111111011111111111111111111111111111111","11111111111111111101111111111111111111111111111111","11111111111111111110111111111111111111111111111111","11111111111111111111011111111111111111111111111111","11111111111111111111101111111111111111111111111111","11111111111111111111110111111111111111111111111111","11111111111111111111111011111111111111111111111111","11111111111111111111111101111111111111111111111111","11111111111111111111111110111111111111111111111111","11111111111111111111111111011111111111111111111111","11111111111111111111111111101111111111111111111111","11111111111111111111111111110111111111111111111111","11111111111111111111111111111011111111111111111111","11111111111111111111111111111101111111111111111111","11111111111111111111111111111110111111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111101111111111111111","11111111111111111111111111111111110111111111111111","11111111111111111111111111111111111011111111111111","11111111111111111111111111111111111101111111111111","11111111111111111111111111111111111110111111111111","11111111111111111111111111111111111111011111111111","11111111111111111111111111111111111111101111111111","11111111111111111111111111111111111111110111111111","11111111111111111111111111111111111111111011111111","11111111111111111111111111111111111111111101111111","11111111111111111111111111111111111111111110111111","11111111111111111111111111111111111111111111011111","11111111111111111111111111111111111111111111101111","11111111111111111111111111111111111111111111110111","11111111111111111111111111111111111111111111111011","11111111111111111111111111111111111111111111111101","11111111111111111111111111111111111111111111111110"}

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Returns: 42169
{"01111111111111111111111111111111111111111111111111","10111111111111111111111111111111111111111111111111","11011111111111111111111111111111111111111111111111","11101111111111111111111111111111111111111111111111","11110111111111111111111111111111111111111111111111","11111011111111111111111111111111111111111111111111","11111101111111111111111111111111111111111111111111","11111110111111111111111111111111111111111111111111","11111111011111111111111111111111111111111111111111","11111111101111111111111111111111111111111111111111","11111111110111111111111111111111111111111111111111","11111111111011111111111111111111111111111111111111","11111111111101111111111111111111111111111111111111","11111111111110111111111111111111111111111111111111","11111111111111011111111111111111111111111111111111","11111111111111101111111111111111111111111111111111","11111111111111110111111111111111111111111111111111","11111111111111111011111111111111111111111111111111","11111111111111111101111111111111111111111111111111","11111111111111111110111111111111111111111111111111","11111111111111111111011111111111111111111111111111","11111111111111111111101111111111111111111111111111","11111111111111111111110111111111111111111111111111","11111111111111111111111011111111111111111111111111","11111111111111111111111101111111111111111111111111","11111111111111111111111110111111111111111111111111","11111111111111111111111111011111111111111111111111","11111111111111111111111111101111111111111111111111","11111111111111111111111111110111111111111111111111","11111111111111111111111111111011111111111111111111","11111111111111111111111111111101111111111111111111","11111111111111111111111111111110111111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111101111111111111111","11111111111111111111111111111111110111111111111111","11111111111111111111111111111111111011111111111111","11111111111111111111111111111111111101111111111111","11111111111111111111111111111111111110111111111111","11111111111111111111111111111111111111011111111111","11111111111111111111111111111111111111101111111111","11111111111111111111111111111111111111110111111111","11111111111111111111111111111111111111111011111111","11111111111111111111111111111111111111111101111111","11111111111111111111111111111111111111111110111111","11111111111111111111111111111111111111111111011111","11111111111111111111111111111111111111111111101111","11111111111111111111111111111111111111111111110111","11111111111111111111111111111111111111111111111011","11111111111111111111111111111111111111111111111101","11111111111111111111111111111111111111111111111110"}

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Returns: 59976
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Returns: 7
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Returns: 196
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Returns: 571
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{"AZxxHbQlaTWSOpaCYquPTORJsxiVViTSikFs","ZACVFnHtcfChHUKefHRlqgncuWWqnqAZuLOZ","xCAHUXngetbILdFPcXVPrsdjPMWGNhlLxOQv","xVHAiOKRhRlyzAHrnWjOWeiCSSWzFMNxLXIN","HFUiAyqVcpHTtEgQzGTubHuNUPPxoTFHCWdB","bnXOyAifQHqfhsyALiqMcyEUaEupVSuVyUUP","QHnKqiAgohTBzABNYSmvaahEuOjKCglLgzbA","ltgRVfgAfZlDGlRVbMJLAjJpspdkoCAAnzpH","acehcQofAVQNEDfrrupSdiGecISJZkWembsw","TftRpHhZVAbPRKZtFAAbIDMLwikNTuNENBCI","WCblHqTlQbAktKmtcfavQMWhVivRqnKqYxXP","ShIyTfBDNPkAvaxBCqRUfHJrDlhpHwSBVPKf","OHLzthzGERtvAHVpmegjgYaZMMwOwWpjJpHB","pUdAEsAlDKKaHAkRhdyMYzVWapPWcmWahyGo","aKFHgyBRfZmxVkAvxGMzweDduakQuuDtitEL","CePrQANVrttBpRvAEPyVgGmkTwWvcPRQRksj","YfcnzLYbrFcCmhxEAMqIfWRcjIkZcKvAlwYW","qHXWGiSMuAfqedGPMAcaXDVXZysMbePgrfLf","uRVjTqmJpAaRgyMyqcAARFAsxTPWhBxrHAvY","PlPOuMvLSbvUjMzVIaAAzExvSVhFOlzQIBmE","TqrWbcaAdIQfgYwgfXRzAvWyvjbNhrHMFhlF","OgseHyajiDMHYzeGWDFEvAwzogywMRLiKWHY","RndiuEhJGMWJaVDmRVAxWwABoOweImaTzovJ","JcjCNUEpeLhrZWdkcXsvyzBAZCayEJysLuPs","suPSUauscwVDMauTjZxSvooZAnFGPzzcYOKo","xWMSPEOpIiilMpawIyTVjgOCnAmMAFzIawGZ","iWWWPujdSkvhwPkWksPhbywaFmAjLfFUbOwS","VqGzxpKkJNRpOWQvZMWFNweyGMjAwhdAGwFY","VnNFoVCoZTqHwcuccbhOhMIEPALwAvqKSfCj","iqhMTSgCkunwWmuPKeBlrRmJzFfhvAuxqfdP","TAlNFulAWNKSpWDRvPxzHLayzzFdquAEtDoo","SZLxHVLAeEqBjatQAgrQMiTscIUAKxEAPZXL","iuxLCygnmNYVJhiRlrHIFKzLYabGSqtPAspo","kLOXWUzzbBxPpytkwfABhWouOwOwffDZsAAP","FOQIdUbpsCXKHGEsYLvmlHvPKGwFCdoXpAAu","sZvNBPAHwIPfBoLjWfYEFYJsoZSYjPoLoPuA"}

Returns: 7053
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Returns: 5072
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Returns: 2235
{"00001000000000000000000001010000","00000000000001010000000000001001","00001100000000000001000000000000","00000000000000000000000000100000","10100000000000000000000000000001","00100000000000000000000000000001","00000000000000000000000000000000","00000000100000000100000000000000","00000001000000000000000000010000","00000000000110000000000000000000","00000000000010000000000100000000","00000000010010000000000100000010","00000000011100000100000010000000","01000000000000010000000010000000","00000000000000000010000000000000","01000000000001000000000000000000","00000000000000000100000000000100","00000001000010001000000000000000","00000000000000100000100000100000","00100000000000000000001000000100","00000000000000000010000000000000","00000000000000000000000000000000","00000000000000000001000000000000","00000000001100000000000000000000","00000000000011000000000000100000","10000000000000000000000000000001","00010000000000000010000010000000","10000000100000000000000000000000","01000000000000000000000000000000","00000000000000001001000000000000","00000000000100000000000000000000","01001100000000000000000001000000"}

{"ApqYtcOlXpChohzRBakRWJOJzumsRage","pAAMbbBTQRFRVgzCweFncCfdQpujkGUI","qAAqbftMeVGNgYtnMxkopYvDwMOKUmEl","YMqAsbzJDOYCabRjPDZKYmVKOAlCFQKz","tbbsAmbdGUlpeNHqaikjlFLpbIsbXxQs","cbfbmAcbutAFvtifzcIIikYvnTJNkVbH","OBtzbcAlKCFgmFMHOkahCcBBCbgYnNBG","lTMJdblAZptmjXXafMykjgJlmrhIPjUb","XQeDGuKZAhviuHAtLcWXhomLvEoiYqlt","pRVOUtCphAlnXKZsbTrjHANSZVLcTbgh","CFGYlAFtvlAtbZiKwQbDmrqCCHGbMYqB","hRNCpFgmintADXEIoKBMlcjNuaJDoVFH","oVgaevmjuXbDAVaTGbCFTyvgdDhRvfCt","hgYbNtFXHKZXVASDQDToocVDrbbfltMJ","zztRHiMXAZiEaSAmhQZBEZjhdzQPOxFa","RCnjqfHatsKITDmAQYztZDlAGNFEXqBC","BwMPazOfLbwoGQhQAySCiIEFMsdrZGyU","aexDickMcTQKbDQYyAaeNsYwKiEXDjvy","kFkZkIayWrbBCTZzSaAbLYVlfMaSZGRL","RnoKjIhkXjDMFoBtCebAxcGeaaIPLjlg","WcpYliCjhHmlToEZiNLxAAddNgorbhIL","JCYmFkcgoArcycZDIsYcAArLfjWvRIDI","OfvVLYBJmNqjvVjlEYVGdrAzCpuorOPb","JdDKpvBlLSCNgDhAFwledLzACHuNALWG","zQwObnCmvZCudrdGMKfaNfCCAJgkzxkY","upMAITbrEVHaDbzNsiMagjpHJAIHslBI","muOlsJghoLGJhbQFdEaIoWuugIAfKNEN","sjKCbNYIicbDRfPErXSPrvoNkHfAxEAL","RkUFXknPYTMovlOXZDZLbRrAzsKxAaMW","aGmQxVNjqbYVftxqGjGjhIOLxlNEaAOU","gUEKQbBUlgqFCMFByvRlIDPWkBEAMOAI","eIlzsHGbthBHtJaCUyLgLIbGYINLWUIA"}

{"ADwNeZWOZMhXANMwEnSshNcbfmHOZHSh","DAjXIlNqTvipohDpPdFWYPGAAYgmXzpo","wjAcYXthzmJLeuAAyEwJpnvPynmSDOiW","NXcARHoVjREtJRCpiFUkKIWpDFlocMoV","eIYRADKFMLNnsAQeHsHbmigZpmNbDHOE","ZlXHDAQUzzYMclMLmNeZZWHAXvPEIhwk","WNtoKQAcKIFbfcFVFgxIcbfEmrmgXmjL","OqhVFUcAzWvTmhhBtQtArNjjBRLPcleb","ZTzjMzKzAtIRSpSDDbWqSJwypicncGkN","MvmRLzIWtAhGTtFDgfrPmblElXPBdDkB","hiJENYFvIhAwvPjBoVQtmJGDjMiPEwtz","XpLtnMbTRGwAKBCosXcXntQbJvFxvLue","AoeJscfmSTvKAvHxBzVBpYfPTtPjRNOP","NhuRAlchptPBvAbUuYYQQAcHPsvMrPMe","MDACQMFhSFjCHbAxkuEkjQrurcpULFBi","wpApeLVBDDBoxUxADlJMcEcBffBpAnrh","EPyiHmFtDgosBukDAloeJEClLHGSgbYV","ndEFsNgQbfVXzYullAGOSzZgAbxxMZEv","SFwUHextWrQcVYEJoGARGrhqAHpwCyAp","sWJkbZIAqPtXBQkMeORAWwKtNMGKdTTd","hYpKmZcrSmmnpQjcJSGWAlfWsuZFCyNI","NPnIiWbNJbJtYAQEEzrwlAfMJtuNERHJ","cGvWgHfjwlGQfcrcCZhKffAtUumcdXhT","bAPpZAEjyEDbPHuBlgqtWMtAWyJlOnro","fAyDpXmBpljJTPrfLAANsJUWAOrqOMGI","mYnFmvrRiXMvtscfHbHMutuyOAKNZjWw","HgmlNPmLcPiFPvpBGxpGZumJrKAGlETk","OmSobEgPnBPxjMUpSxwKFNclqNGAZZBc","ZXDcDIXccdEvRrLAgMCdCEdOOZlZAYSR","HzOMHhmlGDwLNPFnbZyTyRXnMjEZYAqg","SpioOwjekktuOMBrYEATNHhrGWTBSqAh","hoWVEkLbNBzePeihVvpdIJToIwkcRghA"}

Returns: 80
{"010000000000000000001000000000010000000","100000000000000001000001000000000000010","000000000000000000000000010000000001000","000000100000000001000000000000000000000","000000000000000000000000000000000000000","000000000000000000000000000000000000000","000100000000000000000000000000000000000","000000000000000100100000000000000000000","000000000000100000000000000000000010000","000000000010000000000100000000000000000","000000000100010000001000000000000000000","000000000000001000010000000000000000100","000000001000010000000000000000000000001","000000000010100000000000000000000001000","000000000001000000000000000000000000000","000000010000000000000000001000100000100","000000000000000000100001000010000000000","010100000000000000000000000000000000000","000000010000000010000000001001000000000","000000000001000000000000000000000000000","100000000010000000000000000000000000000","000000000100000000000000000000000000000","000000000000000000000000000000000000000","010000000000000010000000000000001000000","000000000000000000000000000000001000100","001000000000000000000000000000000000000","000000000000000100100000000000000000000","000000000000000000000000000000000000000","000000000000000010000000000000000000000","000000000000000000100000000000000000001","000000000000000100000000000000000000000","100000000000000000000000000000000000001","000000000000000000000001100000000000000","000000000000000000000000000000000000000","000000001000000000000000000000000000000","001000000000010000000000000000000000000","000000000001000100000000100000000000000","010000000000000000000000000000000000000","000000000000100000000000000001010000000"}

{"ALcxPNGcgVIOkcTCkxoAonptAQAOfOhAaCcXowV","LAMOvMBdMGNWBAzYnIXfOJwSxCdeEEYFzUVraBl","cMAcYlZyMpAIDuRnOjRBkrjpwyyEttqyRwMPHjU","xOcAIIXDokiCIcsvCjZrwkGSDbSpfHYvuzMaDMN","PvYIALrmZyQSAltcamnJvJqiJbzPoNxyPOjowmG","NMlILAyvLFXrJSYnttJgLFmxbzaqsuwuKpsGEqa","GBZXryANoVyqtfJBNOWtRJxHNyQRcufoBkAmHvT","cdyDmvNAsdKqHlbOAKeSYgXwVcpfVfRjWnJPiFp","gMMoZLosAwDjrPZHkXlLQroJSSArewzvDVgWOfL","VGpkyFVdwApnebpTdJqIJdKzoNKaWSoZPZkvtxX","INAiQXyKDpAbIcLDVrdNgBfSJtmTTICuolZCBum","OWICSrqqjnbADzFymUUHebZkvQxtJNvWZlbRHVe","kBDIAJtHreIDAQAMMDPkMmsUQSqgBqhdxgdLAPw","cAuclSflPbczQAThPUqrqIugFfZwxGcPXFiQdUq","TzRstYJbZpLFATAYoyYYdvYQXVzjpFDtRZEBUZa","CYnvcnBOHTDyMhYAKTRFNeainISvEpyeHqpgvQY","knOCatNAkdVmMPoKAUDtqFRDWNOWcuSMjttKwlQ","xIjjmtOKXJrUDUyTUAWIkxdAVlxhbqMHkaFOmve","oXRZnJWelqdUPqYRDWAnUTUfqJqKotAWzGaBBFM","AfBrJgtSLINHkrYFtInAZDHzuKALaOfOeYSFGSc","oOkwvLRYQJgeMqdNqkUZAallXGIoWbSCEmVxHAA","nJrkJFJgrdBbmIveFxTDaAoZTfkeNfNCIxeMihg","pwjGqmxXoKfZsuYaRdUHloAchxAPVJmUCMhYpZG","tSpSixHwJzSkUgQiDAfzlZcAufeJxkEGDgIUtWL","AxwDJbNVSoJvQFXnWVquXThuAjPIUBJupOGgTXb","QCybbzycSNtQSfVINlJKGfxfjAjlrqyfMmlNjQG","AdySzaQpAKmxqZzSOxqAIkAePjAAFigPyawMikD","OeEpPqRfraTtgwjvWhKLoePJIlAAqxDYSMzoIXh","fEtfoscVeWTJBxpEcboaWNVxUrFqANzxsOpHEev","OEtHNuufwSINqGFpuqtObfJkBqixNAeuRDgRFQS","hYqYxwfRzoCvhcDySMAfSNmEJygDzeAEODLPzFH","AFyvyuojvZuWdPteMHWOCCUGufPYxuEAmlfNLjs","azRuPKBWDPoZxXRHjkzeEICDpMySsROmABErAVy","CUwzOpknVZllgFZqtaGYmxMgOmaMODDlBAhZZiY","cVMMjsAJgkZbdiEptFaSVehIGlwzpgLfEhAMKQF","XrPaoGmPWvCRLQBgKOBFxMYUgNMoHRPNrZMAglF","oaHDwEHiOtBHAdUvwmBGHiptTjiIEFzLAZKgArx","wBjMmqvFfxuVPUZQlvFSAhZWXQkXeQFjViQlrAF","VlUNGaTpLXmewqaYQeMcAgGLbGDhvSHsyYFFxFA"}

{"AwLwyvhUBoBOygIUkhyvHSImLdowbBzAARLZWFx","wAtTznvBvLUwBTAbtDmoQZpsjxNjVriFwIFHOFK","LtAEcPDRWTAilmyxDCSGzLQJYPcIbQIKAQJJpTo","wTEAVbbQmjcuTrBnXZfVgBEEpkekFeMqdFFmwou","yzcVAOeOQIsoUCHgBgWoSENicpHKHJUVhrbHdaH","vnPbOASIGEKqrWCbHOFPJcQUeeuAbNwdpQQfyff","hvDbeSAuHLYYnwockgeucuXqUrxHElkwDfhbeDm","UBRQOIuAGwKNWSGSreaseRbjerErVJIMXBrQprB","BvWmQGHGAvxrYQBgPWtogjujKYFrVQkRLLgbETV","oLTjIELwvAKXLiAHuyfVTwOGlcoPlEouAuLgAqs","BUAcsKYKxKAmnWVFMeYaYMEiChVtBuoTeGFQOoY","OwiuoqYNrXmAapihncdetxfMcWQPEXNEKjdbITK","yBlTUrnWYLnaAjXpzvDZOxenKqkIvRuULoKDqnA","gTmrCWwSQiWpjAiwnDixnmaoyfrOkQshVpXjPGh","IAyBHCoGBAViXiABBEHdlBlKwgUrDndcQbofwrW","UbxngbcSgHFhpwBAfuZpmcUJMIqtGupXBFHamhY","ktDXBHkrPuMnznBfAWaOeQUPjVpcIaHhtmNgBqZ","hDCZgOgeWyecvDEuWARCkivmojmrBHUPYEggtHw","ymSfWFeatfYdDiHZaRAhZmWduZYKkDxrphohipq","voGVoPusoVaeZxdpOChAVPlbIhbgjLIhYKspexB","HQzgSJcegTYtOnlmekZVAuaUAfCVDTAcqOgPiEM","SZLBEcuRjwMxxmBcQimPuAHAOFCGbrbRhMZmdAC","IpQENQXbuOEfealUUvWlaHAsTzXGAmehYxjrHDc","msJEiUqjjGiMnoKJPmdbUAsAZNaruMUpHUEwgFo","LjYpceUeKlCcKywMjouIAOTZAgRmuzeSfebIGIt","dxPkperrYchWqfgIVjZhfFzNgAoyqyjjswTIZIo","oNceHuxEFoVQkrUqpmYbCCXaRoAVEaFFoEboYMi","wjIkKAHrrPtPIOrtcrKgVGGrmyVAbuFKIVpnxpQ","bVbFHbEVVlBEvkDGIBkjDbAuuqEbAsgJrYLRTCr","BrQeJNlJQEuXRQnuaHDLTrmMzyausAZLBOgcHbo","ziIMUwkIkooNusdpHUxIAbeUejFFgZAMMXFrcva","AFKqVdwMRuTEUhcXhPrhcRhpSjFKJLMACnjBlTQ","AwAdhpDXLAeKLVQBtYpYqhYHfsoIrBMCAJbCTfs","RIQFrQfBLuGjopbFmEhKOMxUewEVYOXnJAIBLaz","LFJFbQhrgLFdKXoHNgosgZjEbTbpLgFjbIAHBny","ZHJmHfbQbgQbDjfagghpPmrwIIonRcrBCBHAqXz","WOpwdyepEAOIqPwmBtieidHgGZYxTHclTLBqABP","FFToafDrTqoTnGrhqHpxEADFIIMpCbvTfanXBAV","xKouHfmBVsYKAhWYZwqBMCcotoiQroaQszyzPVA"}

Returns: 29
{"0000000000", "0000000011", "0001010000", "0010010000", "0000001000", "0011000000", "0000100000", "0000000011", "0100000101", "0100000110" }

{"AhPEqkSFMM", "hAfKPtsDad", "PfAyGQkaqN", "EKyAeLpRpm", "qPGeASfNwo", "ktQLSAnCAK", "SskpfnAdJS", "FDaRNCdAZz", "MaqpwAJZAn", "MdNmoKSznA" }

{"AgTqWWxEYH", "gAXPgjzIRA", "TXAleTmWvT", "qPlAQkwxRO", "WgeQAqgbJJ", "WjTkqAiTzl", "xzmwgiAuHb", "EIWxbTuAwk", "YRvRJzHwAn", "HATOJlbknA" }

Returns: 65

Statistics

Problem Statement for "KingdomReorganization"

Problem Statement

Definition

Notes

Constraints

Examples