Problem Statement
There are N people. Each of them was given the same survey that consisted of M questions. The people were numbered 0 through N-1, and the questions were numbered 0 through M-1. Each person answered each question by choosing one of the provided options. For each question, the options were labeled using distinct uppercase letters ('A'-'Z').
You are given the responses to the survey: a
A set of questions is called a distinguishable set if we can use it to distinguish between any two of our N people. Formally, a distinguishable set of questions has the property that no two people have the same sequence of responses to those questions.
The set of questions used in the survey has exactly 2^M subsets. Count how many of those subsets are distinguishable sets, and return that count.
Definition
- Class:
- DistinguishableSetDiv1
- Method:
- count
- Parameters:
- String[]
- Returns:
- int
- Method signature:
- int count(String[] answer)
- (be sure your method is public)
Constraints
- N will be between 2 and 1000, inclusive.
- M will be between 1 and 20, inclusive.
- answer will contain exactly N elements, inclusive.
- Each element in answer will contain exactly M characters, inclusive.
- Each character in answer will be a uppercase letter ('A'-'Z').
Examples
{"AA","AB","CC"}
Returns: 2
There are 4 subsets of questions: {}, {0}, {1}, and {0,1}. Let's look at each of them separately. For the empty subset {} each person gave the same sequence of answers (an empty sequence). For the subset {0} the answers given by the three people were "A", "A", and "C". Note that two of the people gave the same response. For the subset {1} the answers given by the three people were "A", "B", and "C". Note that all three responses are distinct. For the subset {0,1} the answers given by the three people were "AA", "AB", and "CC". Again, note that all three responses are distinct. Thus, there are 2 distinguishable sets: {1} and {0,1}.
{"XYZ","XYZ","XYZ"}
Returns: 0
Each person gave exactly the same sequence of answers. Thus, no subset of questions is a distinguishable set. The correct return value in such a case is 0.
{"AAAA","BACA","CDCE"}
Returns: 11
Among the 16 possible subsets of these questions there are 11 distinguishable sets. The five subsets of questions that are not distinguishable sets are {}, {1}, {2}, {3}, and {1,3}.
{"XYZ","XAB","YAC"}
Returns: 5
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Returns: 1043070
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Returns: 3
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Returns: 3611
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Returns: 15815
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Returns: 0
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Returns: 0
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Returns: 1
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Returns: 1043591
{"VS","LW","XI","ZX","YD","YK","MJ","SG","ZE","ML","AP","UR","KZ","WK","CI","OR","OH","DE","FT","JR","TX","NM","WG","CO","VH","OL","AZ","XA","DM","VY","DU","WG","QY","KZ","WY","TZ","SM","UR","HF","WP","RD","LY","CJ","UI","VG","YT","ZY","QB","MN","CS","WU","WF","EK","AY","MA","PP","XC","LC","GV","WE","BO","VD","FB","MA","JJ","CI","XW","BF","HS","DD","WD","UK","YW","GC","TC","IL","DS","KM","VY","MI","QC","XN","KV","YX","NU","PY","GG","KW","TB","JB","RT","FF","OV","FA","DK","BV","LW","NL","OV","IS","NH","TL","GI","MZ","SN","UJ","JW","EK","ZK","JU","CX","VB","IN","JM","EH","VM","AH","GH","WL","GD","PE","PH","VM","BP","ZP","RR","SG","MH","KH","AW","CS","NQ","QX","EU","XB","RQ","ZT","GO","UP","YX","ZY","SI","BB","QE","JQ","TD","UJ","YA","RU","JF","OH","KK","GW","FO","WX","XA","JI","NV","NQ","OY","IP","YW","FE","ID","JW","AD","IK","BS","OJ","JK","PR","SB","BA","CP","UM","JG","UD","FA","CK","KI","SZ","GE","YN","BD","BI","KQ","AC","ZW","ZL","BH","QY","OY","OT","LM","SC","HP","QG","AQ","QE","OH","KK","UP","OC","AJ","TZ","WA","SE","GJ","ET","JX","OS","FI","RZ","JH","MH","QS","MY","AG","KD","TK","SZ","FK","IO","VF","HZ","WA","SJ","GA","EF","JW","SD","YB","CQ","ZL","EB","OH","CD","ZS","OC","GL","ED","SM","OR","JK","HF","RH","OC","YU","VX","KF","YJ"}
Returns: 0
{"KVCHY","IMNSE","ZYSKY","GFTHX","LADRE","RHCLS","UYPXP","FACWE","BMPWH","FXRQO","LGUWF","XWUOR"}
Returns: 25
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Returns: 282
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Returns: 260047
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Returns: 1044436
{"OFJDGGWKDSSCT","MAVCEWXBKWUSR","ZJMVBTRSGRPID","UKXOERTWZMKBI","WPEXAURANRBCU","FEOGVXJXVZSBD","OUGXTSFXBXMHV","ROYDDKFACSEFH","QQUQAVXRHBWVL","EPDVVLRFIJDQJ","EXXWQWFMLGYKT","EEJUPVHLMYKGE","IGQFIHQXLDXMT","STUBDNHLYWKFB","QAVMYILKWITDY","MVJIMYLOSWYNF","GELPUOUXXOBLM","RIHTNXVCJHUAH","PYPTHTCQBDPSI","TQULXAIRFHEON","FRHMMJSNTICHK","KZVQVPIQJKUZL","DNAUMVRILHXIT","DOAESYNTJCXDG","MKRXUXTHGUEFI","VUZJOAQJBEBQO","MLIZBKOZBZTVR","ARRTOBNLSMWYX","OMCLVHVCAJSVX","JLLMNOIPRZFRJ","UDPKONOTLMIIX","VZYHYXTCQCAWI","NKRAEXTRJYJWD","VLSBAKRAXBBBS","BTXLPNICYAEQZ","EMHCTDGGQNZSG","FRKIXSIWSGFUE","LYHVNHMSXPVSS","VNBMVSQTZPGUV","THUXJDPCGDWOK","UXYRQPRZPVJQE","MMHLSQCFRJZKE","OMFKCRKFAVJRA","RBAUVWBIZAXHC","TNMPGHRWQCCYN","JGGMPZAULYJUO","ZCLVGRAXAXPVU","CZUFVFCPWSBXG","UWUSJHOFIYUFV","YLFHBENYGOAHK","UWNURAUGTGFFS","PBFHGFUAONKCI","GGEBGNHBRPRLY","UWNLGGFAAOYJK","KELVNZEDXRNRA","WQFGKIQYZSMWK","OVARWQBFLURFJ","VGJYCNQLATKJY","EJLGQVXQZFRWW","LCPNUNXBZXANI","KFGCUJBMOFITD","FMITJMKHJUPKM","NARLRIHCHZCQQ","CCVCWKGNQSMRM","KWRVSYFBSGNDO","ROXWUZJLRHHOO","OKIXVTYNJHJYZ","UJZYOFMOAWFWT","ONXNKFKDGXNHH","LIYEOALZTDHFE","OIOEZUISPCENX","RYKGTGLHVBFSP","TBJALUMYLXMHV","VDIQBVKZHUQPM","ARAKHPADJHNCL","OXCPXPNYSMTYQ","QZXVRJCFOOZKO","AWMOUHOMMHNDZ","RGECIKHLEKFIM","WGUDGWPGQILZZ","PNEBNEDVNRRRY","MQVYBUKPKYXJV","JNYMYTANSECYL","TGTBASIRHNVOM","YFDBBHYZJUZOJ","BGJUYCVZTCZGR","TFPWKRFOSKFHM","SEOGOIBCLNTQJ","RHIOEFKGKGJLV","XNWYQTORPAZZN","DLPPQQPRQTQBE","PJIWOLSHMHJOQ","RLHHWRNOISNMV","MZYYOCXSSVLDK","RRGKPYXTWSKHS","YUHIVJSPYUMCY","HFLMUIFVFCZQQ","GVDKDBINCGNHG","AQQXOWPSOGDGJ","UNWCDDWUTADZJ","HSRUZAJQFAKSC","SGBKVQQKBCAWO","ALAPQSFOBADTQ","GNFTNIOBAUIAC","DNRUAPAYZINKU","LUKLDVFTNDONC","DEUXQRMGAPRSG","WWRCQVJNIQRPZ","AXYLYRMRGSFSM","TYBQWRRLPCCZQ","GZVYJINIKXIVE"}
Returns: 7986
{"PTVLJLGXVOLVEDHXGT","XTIHFABALGGURTVOGB","LULEROPFTHFIZUIKAH","ITYMMTEREUDPJPJAPE","SQFUADZOCYNTSLRTSQ","VWCRJILVVRERSLJUOP","EAOLEZXNRKJTBQSKXC","RLWXIJVFDVHZORDIUK","YWGLTJZKGPRTBQCFYT","XGMNWWJEEHNGQIUTOH","GBGBEGKBEJGCZLZEES","MJBNVOZLBXRJZIOTOW","SDFWLPHRVATPKLFECU","SZDLHGBSOGNHRJHCYX","WIOSYZBAPMNTQCGPBB","DXRUNDGPFYFPXJJGWM","EYGVNHXFGDFHFTACVO","SWINQGOEIFILECGYJS","NRXWTHMXPOPZEPPHZF","DIJCVZKSULZGTDUZDS","YLKDWDSFWQHVYARQHJ","CSMYQAXAANHAIFJSVC","WFGZQNGIJWQURUGFQH","BKIYBLJHKYGAGTXHOO","FSFCPGGTRSHIGFCPQN","BAORYVNKGZHGCFDMCQ","GDNHGXMOLSGYDLPTPG","YQRERVWMWNWSVJNKLJ","FUMTRMKLUJHOOJDHQA","EWVKDVONTBXIAWDBBY","RZCSOTUUAQKQWAJZWV","CRBWDELCDKJGCSPTWR","ZTIKLDNOZBDKLGBWWC","PZTNHRVQDOLNLBSKLX","JATVCSSHFMHIDNUIGF","IVVLLUTFYBMLLVHSKS","NKVQERLPPHGDVUEYXU","QMWTHWDPBFQLMGUSGY","BELAYMMJKHZDOIHUQC","QFVIVMVTEUEUXEBLTF","LJOKJWRDNTDXUDCOYL","UADZIEQIJIHMNTXEFV","UHIGKUQWIDBCGSPFYI","FQEDNNAELYIUNYHYDT","DYTVANRRQDGTEQKDLV","EHMILGIWPWOMXXSPQM","MTOHTITJUSWNMTBNBD","OORIZVVJUARIVAYHQO","EBDPFJZHRIACDSVBFS","TLAVOPFUZZPYZKMLBF","DFQABVZGDUBRQXVANH","GCMJZNKGSJNZSOVVUI","KVLBSDHYTLNFRHZXXO","HLCSTFHWERNMSIJIYV","REDBGCMGGHZSMHMXCQ","LOLNXQINTCUEFNIYFS","AMUBKWHIVAPTXSDWCV","NHXCILLXHDHSTQJQCP","BXNFGLHDTOZECWJRHW","AORQBARVHFZYBRISMF","WAAKJDRZAIVVXUGAKU","WKYSVHVZZIPQSARIAC","HQUUJGMWRFQXNZWUGO","JNBHRMKXTDBUFKBHTZ","YQRFQSRTQGANBJVLZP","YNQLWIAXQNCTTOVLQZ","SSBGWOFJXHQFSVBHGX","SRKNRSTNTUGNWWFOYX","BKFWTCHFBDXQDCIGLW","IPLXKUNNAAPGCQBBQY","SPFIYNJCDXGTMDMPPF","ZWJMVLUVSTEKHNKPFL","CAKQWWLZDPBINPRDEV","NWPOEHVHYSHNDKOISN","OCUPWCZPHLVAHYABOC","IYMZTLOIZCSIOWBMIO","KANTNAAUSFEPFHXBIB","YPAEZZNINFGQDJUIPI","AFUXTEGGPGUDHAUSNQ","KFWOXQVYGMTKJEYTSI","MBTMSQQYLLUNEGIBAL","NVQPNZNIJZRYRJWIXS","HUVMATDVGUVUUMBTTD","GEHZIHDJJUUPJZZTEW","LLLMFDMMZWLGNTQXOJ","JMKBRWOQBHQJVCCNUH","SCUEXWCDYFJHZDHQMC","LSYUGCCRBOZCRKYPDG","OQCSSNNMMAQUMDDHVE","TVFWIXUKNLUJYPQSWS","PDUPNAUAWTZNDWUGHB","BNAFTHDWZWKQOBMVJX","WJYPLXHQCJJFLARSFK","YIMKAPNRUYTICDTVEH","SCVPZJQUANITZLPIDU","NBDSHEWUWXNBPVNUSQ","VSIJBIVUBBGEXSGXZK","PAFBKILITAGROYSPRU","UAWRKWRPRIXZNTPPPZ","FJQRDKAWWREIZQNCNJ","MUJSVMLOXYQJFIZNUM","NSEHCFHJUBPIDUPDSF","QADGQIQOSJJYMISBWW","LAYFJCFKDHIJVKVMIF","NVVLFDMEICHHWALXKE","JYXIBRVBFIFZZZZHUI","JJMLFQCDJMCVEUMVQG","EAGKUERVNHEGVGULGB","RBLMEYBSTXPXUFKWVZ","CAXHXTBQJBWOAVGTHG","IMILQRKXQXLYRSPWWC","RRCTNLYAHSXOXAPMZD","XMLOHBZOZQCSBTCDQV","FBCYRVOQRLOVJKFJFM","GOCGNLPKIRUSMVCUTK","QRGPMQUZBZIYEETDCJ","QYZHRKFNFCKTIAVTYV","INDAYOUKQMTFNUHIBR","DFDPGOASIIEBDQHQBE","VLQBKHQEMIZMIRFQUQ","VSDPXAFZMKHIJCOUUX","EZUEZROCOXGWUTSTRZ","UXQSQAGIKUCFTZHGIB","XPKNLFMJQYSISUFBHQ","AJYHLADXESYELARVJW","EGVECAZLUXPMYRUHAY","OXLJMLVTUYGXJJYVES","LUGQLCKAYVMHHNMKEB","YRLNYICDALUYJRGWLQ","DKMDYIVNGRWGLHOFQE","SYXAYYHHVYAYVKIPRA","FCUKSRRQGPKQJCSIIZ","KJOKFPRFDHVGNYXJBP"}
Returns: 261586
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Returns: 62
{"HAC","ABL","HXA","GXL","FYH","WRQ","PGU","ODD","UDP","EDF","MYS","RRB","AQI","ASB","OSW","RIP","WJL","VVQ","RQK","XNT","SBC","MWM","GDM","TZQ","RRF","ZQT","DDL","TAS","YQQ","OAU","XUB","HCC","NEQ","XDK","MJD","SFL","BPM","ROR","KAX","NPQ","OTA","LAO","RES","SZB","NHS","AHK","KDZ","OGA","PSU","PHX","IWD","UYB","NXP","EZN","BOD","VRD","IAU","SFG","XOO","YBQ","YUW","EYF","GXB","LIX","JOA","YCH","YAU","LRV","ETB","LKL","QMK","ENQ","ONG","AGW","ANE","OVE","ZAQ","PPO","OIJ","ZZJ","WWS","TFA","AXD","MQQ","SQJ","HMD","FSU","SED","FFQ","PLR","TYS","KNY","GCH","EFT","NMK","TNS","EVB","BXO","BUD","KLL","MBD","VEX","KNJ","SNA","QIP","FWV","ISU","RBT","GML","GJC","CHV","WRA","PLZ","WNY","BKC","NAR","JCW","VEB","QFN","EFT","IDK","TJB","RCM","FHK","CKN","GXE","IHY","KGI","GFS","RTS","EAD","SNT","HCQ","CEI","HDV","MCA","WXD","MNA","LDP","BIH","NYU","AFH","FGK","DDS","YKR","SJO","OUA","ICD","LUJ","ITE","DFT","PUX","PMH","FOB","EYV","MDM","BUO","IRR","EUQ","RZR","RPZ","CBJ","UTV","CUR","JTG","CKK","AOT","LLS","CBO","VFK","CIX","YKO","FTI","BIW","FXL","NBN","UVP","BFP","MFA","NOR","YQP","KRH","ICI","RHJ","XLY","FNK","VRY","LOO","IAA","GVQ","VQB","EKA","OJC","YOG","DOE","ZFI","ZVN","BRD","YJF","HRY","VBZ","JJZ","TSQ","WRR","KMW","NOL","EZJ","JUN","OER","DWN","TIN","XUD","PVC","CUB","JNX","EBO","ZHS","MNY","EMI","ELE","FCW","PLD","JBG","VUL","ZYR","RQN","NLN","CXX","LLT","LEO","QXJ","KAE","NYB","SXZ","QJR","HLO","IBL","BWH","EOL","ZHV","RUN","HLZ","YJB","CTI","JIR","TMQ","KGP","WBW","OBL","BZG","BNN","GEW","DWS","IXC","LTK","AAO","WVF","YLL","RWI","YVU","WNP","IVB","WYR","OYJ","TQO","JLC","UIF","XZV","PSI","IWC","TOH","RDJ","IIU","ASZ","LXS","JVE","PMC","FMO","CMH","BZP","UZF","UMB","MVY","GHM","WDG","XHA","OVZ","QSQ","JOC","QJC","ZSJ","HSC","IAE","TXK","INY","PNQ","ITY","XUB","YDF","ICI","QNH","BOS","OXX","UYV","TTH","WGD","BCA","FSU","KAE","PLO","EYL","WWE","FOD","NLQ","VWV","YIT","TLA","TPM","XMC","VSG","MWL","WQQ","WXW","UVV","KUV","XXV","TAN","GSN","AIU","LES","NFD","SSY","BPC","LDB","ANQ","GHC","LAD","GFL","SQP","GNL","SFT","IZI","CBK","HIM","XAX","KYN","PLQ","PUD","JXW","TUJ","XKS","BBD","VYY","WYT","JSV","CXX","SLK","FCF","IGZ","MIS","IBV","NDF","VUS","SUF","GPT","SZS","JKY","YEA","WFF","NJK","XAA","IHE","DKA","SQJ","SXW","GOX","VSY","JKS","UEW","NUK","RTE","BCF","QQY","SCP","SAT","GBI","WEW","BJT","LVT","QYO","YIK","ZKY","NOI","CMQ","FKE","JRT","VTN","PCF","PVG","UZJ","VHS","IIO","KGQ","RHI","YIL","BYH","SWF","VFP","GWX","BXX","LWT","IPH","JZL","IUY","COA","MQP","MZL","ZDW","HVW","GHT","YJK","VRP","LNR","EMY","OPM","VYX","HVR","BTF","JZO","QHB","GVS","ZDH","YSY","UPS","ECC","DUW","KOQ","NOJ","XAU","JRZ","YUD","GAU","HBL","VMF","QZY","ZLQ","SMW","REI","JRZ","RNE","QUG","YDV","CJG","ZAI","ACV","BCK","FCP","DTU","TDB","HRB","MHU","NUZ","QMQ","SML","KME","BXK","UEJ","XIO","RZW","SCL","MQD","KIZ","PJU","IJL","MRV","ZBW","KMT","VVM","GDK","OEV","PGH","LSQ","RIY","RBP","OBQ","JNV","GVY","OIO","IIW"}
Returns: 0
{"FNDZKACIQWSSQ","CXEBOEIDIGTHM","QZXZSDOUMVVQA","EJXLVYPSFNUFF","JHOXTRGFAKILH","BVDYSHTMOZKMI","TANPKVHHRBOVN","IEAPWTGGTEAVW","FYVHHVWMKPFGX","FWABFCHWCXPJI","IRDEMFMKQCRJK","PRVPDSCOCWDQV","PNFGABUWUMDBB","CQVUZLKCABJTC","FNCCSGBHJXBJT","OJYVYGYUJVNOX","FYRPPLJEBOBNP","WAFPSIYGDRHMR","ROOTBZTFLCURB","PDWUVFGJWDDWN","ZHPZSIMUPGPLI","HRYZPYIWTRWCD","KXBXGVYCOKDVO","GMITCGJVNNADV","BIMWKZNLIDWBQ","HKEXFGBIARMFB","XHQCXHGQLOLJT","DAKOFPZUDXQVZ","VUGJJTHNTIFGM","BMSPFSBCYJLOV","SXCWUSDSZTDEW","OHSTRXORXSNYG","EUJWBYFNAEEIJ","VFTKSARHCEEQS","EFZPKQJSXKUDF","GATTBJOLCJECQ","OFONZYZRBVDCF","YLIIHKZTPBYAN","VONSEESMAKXYH","COPKPJNDKYGPV","XOTKDAHLHYSUO","RWRTYWUQQEVIY","XRATOZNZUXZQD","UJBZEUEMMQWJE","SHNYVPFVOPBRR","RAAVCFZIMXYFT","BFQYQOAMHQKXU","NEPIPGMUIWINL","AHJGMNOKIIBBJ","CUMOGWQDTENGZ","CIQYRYUVZUNHM","YSINHKNVTKRRQ","GZWWGPAGMHGEJ","ESVWTCZFYVPZH","LPKQRWPIYZCSG","LWHMHFHINZQVN","LBHTCGITNTSRY","KPATPJXMVMIGC","HDWTMSGILRIOX","CQLTRCRFWLKIA","TNLPNSNGDBVTR","JAZRPTNRZBNLJ","ZHVOAHMYSHFGS","ZRIZTBJZASMBF","JLSMAMCXHJKGJ","WZWTAWBXTCUKV","BJJZTHANADJGW","ZTOSYTBIMLVHW","FPLXZXBZPWDMY","GVJCUTOZZMFCD","BIWAIENXDAYUU","THJHUGUMETOMT","PKPXVIUKSUZOH","TVUPRLAHQXRPP","IOHNRBLPFOGEL","ATMWDXYBXPSGW","IESLEEJNSCFTM","RQGUQYOQGQVQS","VKMELTVNRXKSU","MRWVIMIMJHIHN","PIEFKSANQHPRN","QDIMKDFOBBPTP","CDQAQOJAVJAYD","NCVGOVEXEEREL","YCSJWFBJWKQJQ","ISTPSNWDUKDUM","UYRVIJPBGMLRW","EVZPNSAKYTXUZ","USEPHNGYULXHX","LISMYDQPAHYFI","QIBJSQRTONUSC","NRSVTMEQEBXXN","WELQIYPWSADDQ","OEWISOPEQHRJU","DJDNJDJKSHGBZ","HCKYSFZSNXKAH","HSYEJZIMSXPYM","XTYQPZKCSDFNW","KMQKKAITYHAOS","XWLCLMDKDHLXT","LRAIYIMXIISPY","XLDISPYGGVDKY","XKZAPTORDGRYG","OVOALBAZJQXKX","PQYMBGLQVKHHZ","AVWVLAKFLRQVR","HHGBWBMIGNRYZ","HMLJAPSNBFUIZ","JIFJDIKIXWFYC","JRKWATFGHGQED","GFDIAZNNGLZCZ","YNDLBRAEQGLKC","DSAYNBFKXIVKQ","OIYGBFAHUWEBI","BWEXJQZGFNHZJ","GFXLVJNJKKFVO","TGCVCCYFPXCXM","BTPEZOLDVIEKC","MFJCMEPTBNXGH","GBCIYAOBYVUEY","HYUGWCBOCLJMK"}
Returns: 8004
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Returns: 7747
{"BYTWTZLDJKNLTAKAMG","ZGCCMINQLCLUGKDRUA","BRXJMKYUGSDPZIBZBS","WMPWWKNUBZUITIOVZJ","GUEVKIEQBKIQOGUKOG","FSOGNHALWEBYHKJOJW","EIUIXRAXLQYZGVVHYC","JIVVAFPJLSEQRKDZJL","FHZKDLVIEVKPTDCTTE","ERYAVQPOUODLRCLMDJ","MAHSLPYHCKSKXGHYMI","GKVNYPJNGRIHNUCZFB","WCRCADRLKWMKFEWOBY","LSZKQXPZVIYSXMVFPF","SUDOFWBFONMFOMCIVF","EGXHPRJSLUMBQGAQQY","XNRFHMWSRFNLOEITCD","BHJECZEHUVBUTYRAWB"}
Returns: 262078
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Returns: 724
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Returns: 0
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Returns: 129073
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Returns: 1
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Returns: 42
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Returns: 61
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Returns: 1
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Returns: 5
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Returns: 149
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Returns: 334
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Returns: 78
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Returns: 31906
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Returns: 18
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Returns: 1
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Returns: 15600
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Returns: 0
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Returns: 360
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Returns: 161
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Returns: 64455
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Returns: 52
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Returns: 15798
{"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","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","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","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","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","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAAAAAAAAAAAAAAA","AAAAAAA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Returns: 0
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Returns: 1043271
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Returns: 1043283
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Returns: 1043240
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Returns: 1043181
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Returns: 1043452
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Returns: 1043435
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Returns: 1043163
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Returns: 1043483
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Returns: 1043274
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Returns: 1043437
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Returns: 1043440
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Returns: 1042941
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Returns: 1043194
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Returns: 1043455
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Returns: 1043029
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Returns: 1043355
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Returns: 1043294
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Returns: 1043235
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Returns: 1043569
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Returns: 1043363
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Returns: 0
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Returns: 0
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Returns: 0
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Returns: 0
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Returns: 0
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Returns: 0
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Returns: 12
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Returns: 5
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Returns: 0
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Returns: 4
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Returns: 0
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Returns: 0
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"AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA", "AAAAAAAAAAAAAAAAAAAA" }
Returns: 0
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Returns: 793039
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Returns: 0
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Returns: 1043292