Blackboard Bonanza
Problem Number:
11 548
Type of Problem:
Problem Category:
Input:
Random Input
Critical Input
0
Critical Input:
5
4
DADFREGWE
DFERGWERFGSE
DSFSFD
FDGETRHSDFSDGREGWERGWERG
4
QWERERYEWAS
ASDSD
UIIIYIU
BCNBVDGFHT
5
AJSHDHFJ
HDKFKALKSDFSD
A
ASDFASDF
SDFADOPOPOP
2
ABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQRSTUVWXYZABCDEFGHIJKLMNOPQR
ERTGERTYHRTYHSDFVRISDFSLSDFMLGSKLKFOKDFPSLDPFANDMERFCWERAXQWQWEVHMLKLG
3
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA
Random Input:
70
57
ZDYTIHYVYSAEKWZLUW
OUGCGLDTKFTUQFURLDVIPVKTTUDMFDITELHDFFANUHOPH
UKTTSDNFBFPRBCQCVVPPBGS
ZGEKLTHXCHN
SGGOYZMYZMRLQOHMYIAHOOYIPHETATTZBRLOGWKUHJIWPWPWWWLR
HDNTTTZJHJOCFDQFLAGADZHPLWBGBADBMCGOMYBQ
QYAZAEHPNIBGEEDFMRTBAARHFMTBVGZOXZZXUPOHJMPMMXFB
RSQNMAPRMNIULFKQVJRLJLAOKPEBIURSNSGFMZLJGGUBFRRUEJFJ
NRRSSCZVVRUBT
JDXIPERWEBUPWIRHVNEQ
PUTOXWAORACHJVERMYWNOMVMHYOPSRALD
MFJOR
LNNJOZYEVLAAHTAAOPHLBVCJCWAKKAQHKFWNCMEHNOIEMAKTXELKDXDTBHMRNHHRN
SAIAEFBIIYRLQOOZBJSJYNHPZLRMOFGATDUASBO
CNILMLKLGDOVQNYOHKNFUGYWQFUITBRPPYEUZOKBEONQAGIK
UNCIAWRPQDJZCDMDJIRUQMRZLNFCFRNBVCJHRXKUKRCJVHXICRGFU
JXZG
O
VXWQHFEMWUIKJLEAZWFMIADMQXNESEOFMBKSXWQBSG
CHAXRHYOIMCKZBUUZVETBEFPCPQSAYXJTJEAXKWEONRTSGQXXDVRGPYYGMYXACKG
CRELZIJKALTWWVFZJYZOKIMAWYSBZCXTRISNFOYXTMYHIH
ZDKDYLOGYCVASHXGKRHKETVYLLRURBXSISQHUPBBMXTBUQEAJRWUMOJGDSTTBLHKVZHWK
LKZZDWOOINZAYBFPZHBHMNNFSZHQQBQRVNWJCABPGSUNJARWZTLQBNF
IXPRMCKJVJRGFZMSLLZGVODAILZABOEGVSTTGWOYZTCRELZPJ
XIYIMGFZAWAGFSWHOOEELAPVSGZEWTATYNCIYUYSFOYTFRDEZNWMZOX
GRFQUANJFNKYFAGOFG
PBEGWPQLISLZAVTGFVIGIGEDTDNIKKCCWGBADTRDCFEHIFCXVHGH
JBDCFZCI
NUNFKYLZUQIIEADCBSF
UGGQORKRIGQJNOMTREQQRHNNOQO
NUBPLEZMOKFKLINZKUAGRVEPWCKPQZNAYAVSGSHERUINWNJYXYMYFMLMJR
LFDTUSBEZUUTWGC
ANJUY
VAYC
C
YGRDZJQHRYHHMBKJITZZBVXAPPVCOQBLBBHJEKHWJZDLIIV
OEUWKURWZCUCQSRTTICKFGB
XVJNJXUQOBOOUWARTWFYHGQW
QAEWGBLWHGLXBDRZPUQGSFTFCHNFJUPVNWOIVPFFPSYFOTRZQBBFHRSDGM
LAMNNOZIZUEMQCQFBROFSOYNWLCXEKUOSIUAFHDDELHVXVYMEFEFNGTDJOZXSDULUSECB
OLNCIBPYVJRICNYCKYAELGIJRSCKMGEAKZWSUHIQLOUXGL
ICQAXFSOIPFSNKJPCPURGQ
O
WCDVLVIUIJNKFDUIHHSGLQHKXEFIZOWZ
VXTPUUNFGFWEHGQDLTAPVFQPMUHLVAFFMAZHSHGZMQRNWYXNVVBVVKNAKECKKGYFXT
HXTMHPK
HINENOXVWNDEKPUBVZHSLOWPEZCLUTQGNUJJORQPCWF
KEPMIBAAHXG
WQGWKYPS
XEQATTBZVGIAKJPQZEVHXLHYGULXNRPGTQSTQCYWRDGLUUQIDYNMM
NGRNWDPCHARZMWHEZNYLRAZMUFWCBTNSXTZROEDSDQLJQIUUFUMFEOSIZXLLWEDSRXYZF
JEWZTSVHDIUKUJHZJJZVOKYSBFBZRF
VFOMQELKSHFYPSUFYTHWGEQSMLLXSUJ
DDSTEDGRWCTEJSGJCRJVLXGZXVWCLNVUTEQWMOQMEBD
LKFEVGGIWILVESVQWMRYEPADLERIL
TYWUBSWFGPIRKXSZGJLTPZNRAVHJFCHDFKBPAPCWNAN
QOPTWCRIOTIDJKJRGFIMQMGKEUVYWVEAWJCWKCQMAZAXWQKIOIOCZ
6
BNXZSCWROTHABYSHKTFDQXWKRASTTJRKIGOPQRIFLUWQTKPCVJMKGHAQZXWQQDHCB
NTTPDRAUMLSVGJCFDLIFQXLUANM
VUROJRSXGEAZTMPRHQRAJNNSTERJSWRQBGVDBWBFLSLYXOGLXVKSULZYODANACW
BWVTQEGVDQXEMZQBIHZEHNONWNYND
LLIUOGOWVHMMGFPEG
ORDWFIYZRJYEIOLVFABMOVAJMNXPHREOOOXHJHIHJGOGWL
64
CVNJ
YKNXLSJDTNBZZCINIPREMNAHCEDXTKXEYYVARYELIWTQCRFONJQRGRUQFHRWETDLSONFGR
VWESEEDPCOPQNSDTYERNLGJCHAHERRQRCLCUGTDILUKVUSMPNJNACSSBDZRA
YQSMUNWYGPEUEQXSYLBUILERV
RDFHLOMQMVQLARPGGBYYBWQJNPFVLMYOSNDZZKEJFWCS
ZJNNUNBPBUOFFUKAMXYND
RVMCJIEBKN
TMDAASRTYAVSZZMNNHNONANYAMNRHTCGRNQCMXPCVCYERGQVPBSTBG
JZIVMDTDZGIFYKNUWBQKRNDQQLNURRRKZGDLNMAINICXFKMBXRHPQWLJHDGQNO
EJMIXTFMOHWGDUZSCXHNFEIFY
NTSKAVQROJEKDEEBBAU
MGKAACMAXSPGDVPXRUPZFFYHBLIGTVTPFPSJXGAEALGBNVLNXFB
EEONRMPKFICJNHIFJUHZUQVZLDRSKHUNYCOMFHGRPREVPORFJAFWXRLVUKWXR
VXPGIQSSKRZOYPVHYAXZCHGZKLSLAUKFISEV
ZKAOJWATDRFNLYMWJISICFCLCXCAGHVSUYFREBWUHONZOTIVBBRUTQMWALQNYSBNZHC
NCAVOO
AUHZQGSEKRYGKYRRKCMZVBQEJMUWCYCJEJLKEWKCJILAGA
WRSOOCULDKOLYTWTTJLLVYNGYKXNZXUTFJXKQZNPFGCRJLLUOBBRVATJBFQPVL
YOQVQOIWRYCRNKTPVMHTGVADUIKXLRRFQGFIYTD
VKFEFLGGCVJQAYAPRCMSRBRSEGTQZSSQCMVYLBRPOXWPYENFVNYWXCUYCIAVOK
BWEJQFWTFQTFKKSHIOPGDBQJWDYGKZUFVSSYKYARKMRXMSRNSUNJKLXKPG
HVDCFICNMWFSWDTTQFVOJUDMOPVKTFRJRGLTEEKKATGQQAXYMKTNGZMBXHKSQWZ
PXSDJ
IDYNTOHUSYDQFERRPXVQUZVCRHLFHHQEDQLRPJQWLNKKQEYTZZZPZYCQPHMHBDZVIQRWAG
EM
QHIVLHKIGVUGNTBIUZGVLKKSOGDKYVHBYVQBUERWCKRUKFQA
PNAGXWDYCYDGDDGYLCMSUNZOFVLKVO
YCMMLZ
PLNFOFJKOCMGWYBKOLXCUNBEDPEPQSOUCYWINLBJJPVPDEJLVBSSLTGX
EVKGSBYVRUXSSGSMESKDTEFGZSBNQ
Q
VIOXILXCJNLLOALSPHFAYRLTYKFZUFSTKABBRURRVZOF
SHKVTLCGKMPNZRRCAKDPANMOISMYSEZWAHHCERSXDNKYPANPLXKRPVKOOHOUHXIFCHAFV
ZLRDYHGPZKOVJFDVEDOHTPVQYHWWEIUFGIHKLGQRDSNBNZCYSW
XAUXPMRXRFGQCYQCCBZDALXRFXZDNBDFZSYAQUBWHWUDBAWBCYYCWKX
HELUAHUQJDLUBVEOCKZPQHNDKUBYNXF
BGCLJTHBJBPOU
CXRTLBNKMVUXMBINJYXUOGBESJLLUAXHPNACJYWQBXXBBUPNKIDDMSDKMVBOCVTM
B
YCWZHGNBBRLRVVVPGMYAPYSJ
EBVCNTRWIRDZLFDHJBNTVC
VBRRLCUKXXNWNQTBEEEEIVXEGIVGEHPHBOZIETAWUHBMYSAMYS
JVWXJYVXGEXTVPKCRBAUGALZDYYB
MQHUSANYVICFFUGLZZQRWS
CETTPQYBBBJVDCXDODFWTARVUNACKKODGP
IVRVWUHRMCGOORMCSJPQQALEXPUEVNILITASZLTHQMQAVWOUPTBSPHFMVFARBOLICKNBGE
TVMKILSRHKEIRGCXATWZZTTBKDVSACBWMVOWGVIXEKBRIDJ
GRIRACYQTFDDTJHXSMRI
EANSPSYXAFPQHSSSKQOLALUBYNGUKWXGBCULLQDHJCGJNEHXEVMDGLWQNZBDCQKS
QWVOTNOREBHEILCBOBHTKVTE
CQVERWIAFNHIVHFHCBUYIFUTA
BLXEUEEKSEBXNYEXAPSKLECODFGLXRECRCIBQGP
EBWAVAXWIWDZARYSEBYXYNFON
JAIJKFCUA
OUIRSIQAINKQCEQ
V
IJPQUIJNCWWXWBVNEBHHNHTYZAOEK
PBHIMWUDFVCNXJUPOIZWIZQXKXFIGL
KMMBWSLMNMPGTFNJHFXGFBBHL
EKBOOMTRFHLDJ
ALNVHEHTU
RMYRWZKHBPUCBMCRQZLJJCYEKAAPCGUXMEGWQYCDQIUNOZND
JHJBJBBVYSYGY
TAPRJUHVBQFAGJXEYRNXLXBXHPWFNBKDXNUMIF
47
FFHQRJXNFZLJEDIBAHEJDBNLXOBQTLXFHVGJKQDDWFVNGIVYTBGHDSXBORVJSAULIH
BI
QXXULMNHTPPLMEQRXAVHVHCUGZHYXCQXTPWPYYJXR
CIEZNIUWEVYCPQYXTMKYSWKGTDLVESLDM
CLMEYHFUYFAQUBZQNCXRUCXCZAWTLIBTGEAQEXGZNXBYNPTLJBW
GGXLFIWLBSUMKQVUJSRCHPHSKLZEBSNVJCTVHCQN
OMCMAUWFVRLWJYYTWXNMHKPGZLOTXCKCNKO
NDCMII
YCEZRXUGADFCASUZJMUPXTZUYARWQMHMFMNCHDNQOSBSLREEKBFDFGL
XVHUUPOHGLDQCRQTMJFSLHNFTLNBZYFHMUPRFBIXOJQQWBZXMIDUXDHMCNRSPU
EEQPVFJAIXNUNRGBQXAUNJUBYGRFXRRGYAXDBSZNHYAZOZEKXXVY
ESZNQNFCXECVBIDSRCTNROGP
YCKWSADRSCQGKCYQMVAUZHJKSWYVBXHVYDPEPXHTVQBWQEVWMUPWAMHOTRZFXU
QMNZAOPAQJYWERQSB
ROYATKBASASRFZAAKQBYWMEDDEBCTWPYEKYNUHITTXJGY
GSFLCK
QDEVKPNEUU
NMFSVBDSIPQMVINCQGEZLHKRIYWXRZIJGRGUHAZSFDHGCSGLVCHJMIQGNZJFK
WLWXDJFXYITINNSRGTNKRJRWVENNPHTLNYBEBBAPNSMNMJJWJODTQDLKRR
PEEJRZIUIZRNXAIWCRWQCZSLJUUFKLHBXNDABZRDPWFXGJOZGFASKGHYPWTY
NLMCWLGAKCHCEZTRNDHXAJIFNEXJRHIRJJMEZEGGZASAAUOLSIGXFMBDVAMWMRNUV
WSFBWYWYDBOURGZNSVULGJWXUFOZKJSWRZRJKJDTGO
DXRFPQIIWZIJLBOHECMRAGOKEBPTZQBWPFYDWKVL
GFPRPEZHS
IXIPCEPGEFIVFQXMMDQIGRSSJDYKZEOTSIETYNHWGIOWSYUUUIOAOQDLLUG
AB
RCIOIICQBNEYZKZOWMSDYM
EHCOQVUAOJUBGAZZCXEPOZLDJSWZXQRPVXMLLLIRHFF
VXVNWTWDFMZP
PBFFTRSICLTPKTWWBWUQGCIXBDKIIN
KXNEDLWHMIRVARBBTPBOPAKLXTQZOGAYDQCGRVZ
EIAHERHSWYRSIWJDCDGNYFMSSRCDPULLCIHNQKZWUHLPLFUUYRIW
QRN
SVDJKPLBKBUF
SNVUVPNFJIDFWLPMGN
WSMMVEIKZJGRCQRFFUEDYANJXULDINMYYFEGROETHLHZOD
YXSSPYYLIHTKRAMHCNYEUBJBDBJIATCITPFBO
XXMAWJTSACSIDDDOAGCFGJPBQWCMXXHY
ZBKQUZYQEXJWPEEFEVHDXXJGGFVBCG
IYLMNTNOHLRUHWCCBVPSYAMZD
C
DTBIMRQKAOYTJEQZIYDBYLRYOQDNMRNFTTZADZDQUKERYXDVZVOXPZZWCVAICNCTZCOMLU
KVDTDIMWIWWHVJMXXLHUMBBYOYTBNKLIXDJMJPZQJXYRQSIZBAMCPCZEYWLXKSFP
DYEIQJIHUXGFQNZHFUSYBCPBEFWAUPIOBQGWHKJHWLKVATGF
AQTEBBTLUCTCOVSQNXJVT
BAXCILXOAJWPRLONUBGAYRHQIYJHWFN
WBLHXLPPNCHUPGRCESFFXJKGEMSUIBBYZATXLDJVOSHNUNWCRXQFGEFJBVKFF
55
RVXVENTZEXCWQGHTWNSXMOOCGDQORSHBDYGEQKHQNUIEJSZYGTBQLYPGFGODBWLANQXBWJ
DAFZTEPBXXDNKOZSLCKXKJ
CWLUTILKFGZJKNEWLKCFYGUUOERGXRDQAGVPZUS
POWSLU
AJSPONTTPUCDMZ
HAFNKPQ
YWYRVZSTNDNZNWAHINYZYQWPXXYLGQHJDTRPIDRHOZODTQLWGP
QKXXUIATRUIQTZXUFCJCMQHTIBLEYSXUYINRMTSBDGEDBJILEG
ZLAYPGFCYMFGOPDCCZOSRNWPYCWISN
KBDFBLFIWLCFRHMGDXTFXTZESLPSAKLEATJGWXIRQPARXCUAYXGA
RVSJVJQDBEVNEBHHJZOZLUNZLOBMWOSAPOQYRBCJLDFMV
YOYEJCFYLESZOQPUMVYWQCGXFLFKYDIOIHVWJMHYGXPOYHDBVB
IPFMWELHPK
RBPNNMXWWZOAWHDXDCVBGJBPBQXESZKIDSSMLZJSKUAWDZD
TRPAQBVQPEJGTELUJWHJOVBGYHUKHFZAGXQKRKBGEASPNI
WUODFRFMSSNKRPNNRSSXLVFDNRUHHQBCGXYTGPCBXBBCFXVXFBSB
YZR
JIGFUKCBAJNQVZEKCEXHVJAACNSQHCTIQWG
ZCPGRXSEMFLWTLLMYPPNCEUNVEQKFCDQGYYBHMHSNDJRKZWFFCSBQGPUOPTXILU
FSZVAXZVVTRKESARGFSCHXPNCOFYJKIKZRZLIMMJKHMPOTPB
ZQJYTOJD
POKTIVZTHMREPXOSNLRQJBLHIFWVZJIEFEEOWLANNENSYFIADOBBDQ
JKQHTZREDKBEGTGHHGECBDXYDCUTDNANCZMVEZOMZMR
PQOMQBNJBBUHEHWPMURRSEW
UZXNQKSTHTKEXPYFVKTJDPNIOACYRLIPIABWEFHW
TCJFFQEGDWTYVELLPAMFEAJEBXYOZCHGWJXQXRPNFCXFEJEELCIRYAIXMCVFHCQKLLDPH
TIBKYGJUTOOKEAVMZPMTOSYHQVVOALCYKOIBWAGXRTONRYVPWLAXPAZIYLIKJTGRA
EZOZTFHUUJFWJBLQ
IQDEUIRWZOTLJNDBDXQHPIFUFEQU
RPMKQEFTMOZTYSVCYIAYIWFJBIIABNNVYYJZ
EOGLWXFILNXQGXDLJHTZRDOPLHZQODESIQNLGGSWFCBKRW
YNDHZYAIIIUBNQSEHLGBCNRDYDKLWXMOPXXKXQUNN
SRZYLPNWUDKFVRJVCRHRNGS
SLXTNUSMGCHFVYWEZMUMRSQMVZVGADUBQJUNZPYL
PSVQDMVUSONBLGWWVVSGSGAUZXDBDYULXM
TLJPOLDLBO
EJSXDMSFUFGOAAASPTULCTDDYVUDIMNPRWKPXVZBRWRNXUYQIBNKJDJ
G
RTMNMWYGZIMIYSYJIOBMQFJSMQFXGLOXPVUIAWXTKHCPZSAFIJYQOCIMAGBDEEUSUEGW
MXTIDBYDCDQLPCDUSMOGDAEAIGLOAYNTJUZYAVNDI
XIMFOSCNXMEBYRNTNRTZGIPHRCNRUYOVBCUVSWYRBXKTYS
ELMWMZIGXGE
AIRRXKXKTSOANNWUWRIIKFYPGCMMWCXZJAXUOSRGUDWKKAKOSPYTCLSRGEKJQTIYYQ
VVVFGFRDHXPRWBSNPIVWHDDHINRZHYTFJFHNTJCVETFOYASNIHFFW
CXSVWYAQERYSPXCBINCRRMFVXLLDXR
PBOHZNTOFEXCREKLRNJFYNFY
YRDRZGCDSOXULAWISMUHVKUVZFIXZZJTAKPSCDMHBTBVTNUKYYCKWVGHXUEUBNYIETLGU
PEYWGELEGYUXZO
ARDMDSDCTZWPKJRYKUZMFYKQISCYREARLADDRGG
VLESRQHUWHQVSCBPODOJYYEOGSOZNTCVXVTRRMBIB
OOJELNKPFUSOHJGBHGFKCNQKKEKLVXHPTMSLKCMEJEBDZZOENKLXYH
EBFFLCDZTLN
VNVIUEJEDCJXMODEGYIBJGJABBNCWRBWIJNLSNC
LVPKNJITBBNNIVSEQBFWMA
WKQHOCFLOGSEXSBKEDWBJLCKDYLLIMOOXNLS
61
QSIUFVIRFLYKHNAFWOYFTSVTNWXGZLXLRWFSSOBGSTLRRMUZQPYKORYFLTYAUIFLVNRNUL
W
NHBGUHAHUMPJDNKLSICNTSEOPAASDXLQYNWFDYZGYLUNNEUIHK
AUDRPYMWESHEJSXOXFCIEKGXYCWSHVWXDCSLPGOZPZMKHKYSUQPBDJ
S
QFATNAFR
MEFLLQDBYJYTQCXYTWFNLIPNZODJGYFYQDDWQCNMVSRJZFFAYHVTDUL
AJJZTJSOPBYTIVYUTZFJONCADYDFHZFDZAVUZOEZWWEAXYQYAQQHWSMURWEQI
RBEKCMVSREKTDSDYZZRCVLPVZDHXEZAIPUKZFGBUGO
XQYCKBGGRHZEZBKTPMKINRYZZSBP
RBGAAJWCNSKQMDWGNCJPSEZDJOHTMSKNTSGGMTQYLYSMPKLWYIFQEWXLPFYDCTDCS
SMBCXHDCERVGOWFZQCOHQISJOMTIVKNPNEVQPYAKC
XYZPWGENBWZGVTJBHDHLMHRTLOJAZHXLYSGLMOAUJKDGGSSVSXSJV
UWXRWFGSFHIBAWBUGVZXPYMXNNLLJQCTCWPAJNXGSIBMEAWUWTW
ZFNHMSPNMCKXTEURQNCASJIXA
TMFRYDJWDQHHTPTGWREENMTKFPJPHFIGTLYHXJQRHNEADXSORYIMQRNUT
QVZLBGPWEGDIXGRCWIDWCJRICOOEBQIKVPVKXREVTDTABSFYQYVEUXVKKNMHZPHIDN
SUYJYWEVBZJEYJTZPTOCVBIUZPWPTEQTARBHJCCRKHQYSYC
RYSHTXGVDUFGYFWKSTHEJNRYEYLEC
FLHTFLUXCCEPJZJJAKBIFQLTAROMWYESFMQRHTQRVMSWLGDEVAFBBAIOMNUMGPMYQX
ESFRUOMQMCYAORKOKTOZSJHVUYHNKKKRGUXTRYVURMEBQOVPFONHEAWWRHFVTB
IAFMLYCEXQHCOIXFIGDKIVWMKCFZPNGWZAR
NTBBOJDJPZOHIAENHXWNTFRHJO
KNOTOJAOSRJOHPLURJYMRKUWSMXTEPDDULGDM
BZYVSRFXHZICDPZGVFNENQ
ERPRHWSNATSSMQRASCKI
EIXYRTOJPMDSLMHZPTDBBURVBBBPZVIYUYHTNKAWLKJETPGZATGB
IIQQAKVPFSLHLYXOKRDVEZEXCVLNBMPBSVUFCMVDYBHHGCLWUD
TQZDQCAEEMCVWGBWWHOLO
LBHARPWAVHHUXVTMOD
XDSSMIWZDFBCGOLZJOQYCNBWISMUPYWXWM
YKWGWSLODTDJDPYHJMPGJQIEXOXGSIYYBCJVUHUH
OJLFDNKTZZRNIOMPXWVZLBVFAEMNENWNHNVYLUBXOBGIVRIHCDBSMFDEAGSKIVIXDAOO
SQIGEZIYPBA
LMMYKNNGUCPODAQJITLHSICNNIXBZMBOLQQ
MJUAXTCKXXQSKBDTCQBCINDOVKPDTCMZGMOLQCDCGZNACNLWV
HNLKLZULYWJMBLUEBIQDJRAJZRMYUHTMWHONWSGGT
GTNQZKZNNATAUDSAW
PIWXQPPCAQYGN
IBDXNYNGDBIXLEJODSKHBXRBPBKHTVKBRDEMPVDHWWEFHMG
EUWOVRSBEVHUQXKIBUILZBJOEOTWYEGXCOHSIGHLEPKZPVJXBLBEJVVJPPGACRYAY
IOUWCSRSSMZSOZT
XCJUJHEGKFHDIMQARFIZPUHTNGLWGOCSNPUJT
RHTJOEWKXERWAKZNLXHYEOLFQZIWHTLLQIMMNQBGQECPGLCUUBLWMCHTTCSGYRNLCWVSJA
WUAZLLPVMLEETXNHDJDEGLYTQXJZMFAHGGOCNWKXATRDUUVDHVUAMZ
DYDPNSCFXVQDWAZJHZQQFBEAYOIOURLZMRILUHGQVKEBCJQEGOCABXKT
YUXTBBDHSBQW
MJAQPDFFMEFTYVSVLBZBYJVRTFXUYMVVADKSSVUZO
EOEAQOYKFNZRZ
AMDENZVBAPXEBPIJMHCULHWAECRUVEJCN
NCJITSHIDITTTOHIJNIHNYDPKZCNDYGTTLSYDDOEVQEQTXUMGITUQGYBA
WSLRTZQXSSBWFPKETJWWJYNNZKRKOKMVEKKGC
SZBBVBWLAVGTXJXCLZBLYFOACASHYETAQDGAOCA
SXBZM
CUZWLKDVFVRNYTCCIWDENVEPVUFTPDSOCYAYRYFPIF
LUJNEJQYTFQOQMQI
CPSZUCCQXGRNXR
XLCSGXOJWZAGQOFOPAKH
FOKWHZIPFONLLQLGSSRJGNTHIEOMPLVZJROUEBCHE
MZJCAJKPTHUBEXTAYSGMOK
NASAAVQQBEKRFRLGOOUNWBJMSJQGPOFRGKSKOAPCX
32
CQQHZKWYZIEXNERKMVGSHNDJKONHSTAJCKEEZAAXQHFV
WB
UZLDXGZHWNKXQ
PRFZUEI
RAL
RBQIKSOMXSOCOGCQAMBJNFPIIMAIHIXKYKEVOA
HIDPQHUEHFUKFTASMRZVUTSRAFLMYHZGMHDWBJDIAADVQWYXSTTXVELMXALWNSS
GSWNRFMGLSIRJK
RUMDXNXCKCGHGQGUVVFKWKNYONIAIDNDXFBQDUSBWOTYGTVFCHCAC
QU
WZAHESNMOOTAHKHLRCAYPAFULWUAMZTXRIIIMYFBVVLMFUCERDIJOW
BXNMCKCFDXHFFUDJDBNGIZEXZNGDPOIVGZDUAHVACVXTYELRFWCINUGA
NSTFINEVXMPEUWDBSZWCJQUWLEZMTE
XGRRKCMBCBFNLRSQHIROFKRMJTKJGXIDYDIQLWHDBETOAJQVETVWOV
CUUIKIPMNTPOJEOZENHCVCOQDYGRLGZTFSLDAANINEXLPZ
GNWXCLPHCSWBWBOZZYTQSEAUTXZOYYAFGFJEWGABPOEYCIFDHT
ZDOTXRSHE
WTSQJXUBND
WUEUKYTWBXODCDSVLADYQHFXNZUVOIAXBCPMWWQKMVUNFINWKSSIBUGFYLJCQZZIGTI
GG
DOEMKMEDIITUSWVBWDYUXWHDUFVMIOKQPPLTYMD
FOJWEKRTVJQZGOLNAODDQCVXLTLTWKFRWQVSWKLW
VHSJHCIGSNBVFIPFADRRXPHLHIUYLKQR
YCRPLNDRVMLUIKXSWSWCQSLTQKWTNWPUTAFROVOXJKREXG
EHBOSBQNWMDXQAILWGBUWZYNDXGMRZHQQAOHMMENFSVNDNPLIWVBTRK
GKXDJRUYBTLGVTSXMZSSCTJGHCSFGIYFQORKACKHPESTYQRBXYQFLVYXXLU
GOWEJDDTOAOEYRRFKIKBBSHVWJYPKZHQUWIQBIBEGAERAHLKNR
ZHKPWCABRLLP
NYUKEUVDHCJUPETYOABPULILNGRBNYUNONVDOXCTFBFNTMAILXRWYIBJOBJAFPDXPBZSD
GOXYXQDLYMUPKZIXVSXZBQPHMRKTMMOSVRYLVABPA
TZEVIVHPXVWBSRXODYFGMKMAGRLJUIKHXFGTDXCGVAAWDJQKYKWQXSEIHUJZU
GIJEWUHVCSJAKXWSHKRGKOEELYMCQHLQARWRMWTTTIFYPUKFNYFSGECQIYXSNQ
23
VIGMUFRIADWESAAGZCXEJPVKJBUXHLYHBSWULKDPNM
IGESJWONZDCBBNG
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EAEDIBLMRQKWSBVWWPZPJGQASJIWRWWIRCCGQHNNLXOAZTLK
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DOVECD
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CCACC
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IRSSOICGYOUIFIRRUBV
HDXGHCAMA
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23
GKNBJXTYLPJJWJRPHFZHSQCDHKMSUWAEZJKQXSZECE
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CMDVCLJEITUB
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SWSOEKD
FGEVDGOAWTFVQDMIVNEUNBCSLWOFGG
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67
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CVRUM
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10
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30
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CK
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57
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ACSUNGIANQDAS
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PAB
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19
GTBUPZTYVSMRKMAO
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CBFIM
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31
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PPIYYLCYPFOAKZRDEULXHVYJEDUKOHDUYTHWMRELMZJIV
YUYLFQCFG
PGENWHFYRGPIADZOHYTSNRIQJVZBCWACQLWIEUIFVEMNM
EDM
BSLHNEST
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HYLOHD
RYWGVXRARIONGCKVQQFFHMZSXYZTOFMXNNSVNNVTJLHIIQYIKTCTDDGAYKTUHOQFEHY
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SQHGDHSGVWWTB
JRDHC
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BCRUSHYSMHOFCWQQJACLVQBBDIILYLDS
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30
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HYWOTTDPWAWDCTBDIBBTPEXLUUMGSYSDVLJFPLBIHHZLIRAGTMFNAFKVQQJDDBH
MEFPPDLPWZFLPFKVZT
UNPWOKMORYXYZZVJODMRMRWKWTZNDQNBSBQVHPWFUKAOQNWJWLTVYGJMSXUSQJZAYCCA
YMFE
FXAPWHGNVTNEKTYNCKWTXGACTQAJRKVKRUPKMUBOJNJFVDRMFVIFDPUTRIHCZLD
YHQXXFFMEWCGBIYIWDGYNDKBBDJILKWCSSXRRLFGGAKJGKLEVWGTWUYIERIJNLFJA
22
YVIMINVWCQPBVTLGMMSPVZCPPCGERLUIYVAPPCPFUEA
JCOIVHAXCRKWUFPCCBTNQIAUZISFYWRYDZIVIYTVOJLZJGRYXGSEVBQBYPDCHI
NNTTV
UOSBJETIZDGINDMNRMUBUJLMUKXXGRCYK
JEPEQQOMBJEGHWFJIMYHUE
QIJHVSWSIHYAADALANLZOOWGHIPXNAMDREAWEPNLLGXF
BEEKVGUQGTUXXATBZPEQUZVXLOHHTGRIRMGRLIQSHFCYIIMWSYENEXNMNTXZDZPSJUUHB
VIRGTNECGVOWNGCMWXZNRLLRNSP
TWFQCIKEVVKPQLENTCRDWYPXDAPRDFMCQQQTHMLMFZALDAOFVZXREA
HXVRTEHIOFMDGSWRUVIPRBXUOTNWJYZETJZHFAYLZHJYXZDQVYEIBOFBQTJWZGNJZNL
LYSKKOCINKOMVYEKVRMYZJYQLIYHUCINKIRCRFIJCNTFUVZZMPLTKWBPREAOAZACJBHT
QZKUSQXPDNTQOAXJJNATXUBTQVTFDSBMUCPWWKALFCPHRBKLNTOXKYDRVGJXI
OL
PQVPKEWBOGIOFNDNNYZCOORLOUSKIFPYWTMUWG
BDQYYHJDMDCLFPYMDYGLXFMXUTECFMJKYBLAEFFXBZIZU
MTSAQZHOOBCRMOTSFUPDGWNCSXLU
YUBGQDYSLMEUBUPEGTDNDOBPEDGOZQUXLHTDVOXGRUCYRYRXPAMSFVRUGCU
HSGICDHHKABINDNPUWXDVQJBQHIIOSSDTHGSYSIZGSDVNSWSCRQZG
JDMPVSMYKRXXSCLZCNGNXRDK
PP
TSJJXNUUBCLLMKOSNJMGOBRRPGVPJKNBNJ
PFNNZQYRJM
59
WLLAKCVLBGXOZWNSSDZMNABXIGZOA
WWSMMURJRWKIYNZL
KULEFYNHUPQDSDLASSWKYERHWQPFPZBMLKRR
KNPBSIBZBPCDMLETHDTKZVVZEVKSCAJDPSJNZBVICZASPQLLKFRIUGVBJGSIVAPUSUVT
GSSNZBCRVMKFORQVJ
NQHJPNUELMPIHYCXCPMLDKE
EINKNWHZDCZIGSRTZTBA
ZWJYCXVPBTTUZFHEOSJDVMIUFDN
RIBGZEUQLRJTKMAIUIIEJFXEYNEGCESMOGZRETZYLUQGRQYKYQGLDFIRTWHZLZQUJVU
XUFEFTQLEFOXWMFRYWOP
QGLJFVVS
SLPSNZGCNXUCBPGBFPBQDECVFKGWDSCUFEYSNNOURCTLUEUBJZJNLFSINKVYNL
PRMERD
MUWRPVXQJFFWKXGBIYDLLIWUBYHVDLQRCXNDPIAXVIEUBA
NMYFBYMMFPZIBHPIKTVQGDFYGOBAOPRCVON
XNLLANKARCDMDOFTWGU
MFZVUWVLFUYLASICDHRPJP
LJTJ
EZUUISLMAEGMMWJTAHCZJIMTLVWXNMBNXTFDLSNTCSBSYVALLL
KIJXXPVFLDSTJBOTWJGNZSUZCSZIVGSJGAYJRAYLHHY
TTHCGYJQUVURIQKYFJPVHDUAMXSHCVGCMXMUV
IXDZLVFSOMRXBJTQIXIAHTMVOCNI
ZRNXLS
LFMFEGGXMLIUHEPDEVXQGODQCPEFHPCNLFDCNKIQOSJYYPDICKISNKUYKKMELYDDC
WNGHAMNCUSCYHAEYNJNIOOKVXLNOLLWE
BHHVK
EZVQYTSWLAXWCLLYUBFMXBDXGHGHLPKOE
QLGSIUCMRUSVPEYVQWQBMCFFHZNWODNSQKPUTWBMONORDTFRMOANJPKJUYFODPHGA
XKPYPLCJDPS
FVMFGJNBYUVLBX
QIHJKZZBHGHNYYDOZCJTWMCBKUIUIEGNW
DZKJXBQVMNUUJNO
EWQGDEYPLTFUKUDAUFCNQNLJAMRPVSTDKCYH
CTGSGGHYOEAUZLQPESVUVHGKPNDLJURUIZRFGSOGYFEFCIRBARKTRYGADWQH
ST
TSZVXZTKBWPBOVMDGVYPTXGOWMWZIECBTYT
VQVNQXKHBRDGJJAUBWBIAKNSRVORVOITDKVUXHZJZIUGU
CRUYLIDGEBVHMHEOUZXOHVTMPHNVGZIKBXXOUVOOLPUFRU
BJPMPYHBTWMRZXOLAVSOHVGIERXLHATDBNHLJLOHYZSZS
DZWIULNKI
VEQGTGPUBYNARAYALFEFSHWBGPKBXRXIEMIPSCMDWJSAQNSKEXJOKRZQLB
JOTZDQGWIZLYTVCBOREZTDLIDOOTCCO
QUBDCQJTQQPJPNCUBYLTUQVTVYSJGFGHBJKAFFPUIURPOYXZIMQLUTDADGR
XIMQKZNJQXLSPHVGZZULCYYJFIAAFUNVQQ
MIACPSTYPKUGEZUBTOIV
RNRIRMQQKBNCXPOMNSVAUOWZXZPKPEIQKMWIKJTHQPGNIVWQHIULHCB
ZKHXWIGDBALUIOPAZUJTRZVWGVEPDQQYXKSWZ
KOLHQBJMEZXSJAGUPMO
JMDBN
QRRZFZGLLAQKHHBKJKHIXOPMIUAUZFHTLLKCTBLRBJPPTWTLRPOIGYRPNAJMBCNPB
YIEQRDSTPABLNABUVYDXUBAJJRCAZVVQNFCGDUAOMWGLQGUDSILO
GIEXDKADLHBPXRVRQPKMPBGXROJBELEKVOIUHCPPJOQDCRFQEIMCOUKNNZZZHY
WERAPAMRYMISDNBAAWYMHFRCEVIPSGLSYQQWFDQEOLYZWFWBESXCZKOXQGUCHETNVRBCQ
VOIKRTVDNUSGPTYJMOJNDBBSDZIQLJGYBRIZUUCROJALIPBBDDXHBHRZMCIIAGQVKZPB
YFZNLENUJNSUHKJVPTUXUZZUQNOIONUYCNMZFEGZOHRZYBPCCFWVMEFTXJKSNAY
HQMHLNIIOYEEVEKGGDHEDKKSNYOVJDGQWGJUXWFHDKJCLZS
MISYXUUSJFFSLLQDSGRPICHCMIRAKJQBAWUSOUCMBJVMTRQMFYVO
BTNYHWAEHOAKUNWYJSOQDXSTTQUFNHVOQJTUC
C
5
PXYHBVFLAYFLSFSHUCNSHERVKRLVKSKDWPVJDILCDZIV
QTZOLNYQIOXDWFOCSFQPYOVNXUAIFZHVSJRPFSDKFEAAPSFDYUE
KZSSE
NFDVCRKWSEORAQDEMUDYXQJCRWCWEZAKWZZFKZSTWICOKVPOEYZYLXGQUTRLTDEFX
YSHCUFHDMOLNBAQEBDXEIZLHRRSWSLWCFRWWIEHUOAWULFRTNHFJIYJ
36
WUJQCXMIUOJZOBMSMBSBIBXRKNOUCSWTABLZCEUHKZUEBXSD
ULAIAVLZBMOASCFVGLILAMVVNUAZTZJMEBRPGIHEUTAPTWCELKKBLMUCRU
WHCXFEEQGFG
BLAUARRSAJMZPMUOGIZDXNVF
JBFPHNRRGTMPPCCFFQGCXIAY
NEEHHIBXVVICKWMULRQPFPUZJFHSDDNVSEBG
FJRCQWIFTPDGHLAPCWPTVDCALUSYFIYDIKSZDLOYMEPOBLRSPCKTUBIIP
UCOJTREUXECTKCYZGRTAXEKPEUZVSBUVAJBLJJGALRPTOBPSHXEGPOVIM
XZHCSDLBPQQNFTBMURFXZTOQTFGEAUCNAJVXMWYUEZVTEQMZGRCGOUURRDOGYEMSFJFBD
HQOSUICBXGFKMGJNRA
CJDLIAPHZJLDVIVMHGGZUEFXFXNU
SKIZRSHGTDZOHHMZYOJLGQQSTOQXIZMAXFVBOLOYWILSUBEIROTCW
NDOZEKZGRLWGVBDTJENFNDNXZHCRLOQRIERXAEASBSGAVQYHFMWGJEHRQIKTDEHNERD
RNLEBTYZOAQDCRWTRO
PCBDSKTSCDQFFNOALOTHLY
NPDKOTUOKPPCAKPWHADTSSYSXYMBESJLJQXAARYWODJMOJ
NYAHYVSNKNFOHNPOUOGDXRZBNXDUAGXQAZAAQD
LMIAOQUZIGERZIDVEIVYRGCJAJBAFGNKCDCOMHMCHASEBUVLYZ
AGXGMKRPIMQHNOH
SRXRIGSAEUOTAFSJEZAHHJGBJHEKDFSTMJGARYWNOAWHOHFHPXUFSU
TUQMXCTWETSUYGOPWEVDEVSKZGORAGXLBZFABMJ
IXZZFSVRMCJPRIHNFQUNODDJNJMCHQJYNGP
CAQLABAXGIROWDQTGPHFPHBKYZXSOCZILRCAXZPIJSWTFKOISDEWBNFFFYMEBSWVMG
LWWHIFHXRPWSKKRNOWEADR
TSUSXUSZAOVDLIYOCWYDRFEQQRDUA
DZ
DJXFWNXSHRAZTKPNCKRHVIYLJSAODODLQMPXLVVJS
MFDJMXHAJTX
CWFOXZIOLODPEIYKBQRNHFVY
JG
LTPHTSJVYRAFSRYZVZAZJBE
WZGODWDDLKNDCLBQQBURMACVRAEYUHHKHYMSTYIWTPIJFVUSYYXKGDZCN
XMCCUWPWHMATQRBNEJZDDFQDIUOJTNSVFHAEQSDAEUJMBXILLHAPEPWFNNG
AGLKAMCBXNLYYSBY
JWNNZJPHDIBELFOBQLLQFIKBIYXOQQLKVISPAXNNJSPDSXCIJAUKBBFMQ
ISC
63
VVUTVDPFHBNPIZPASEHLHLRHXBGM
NMNQBIRKHGLLXCROXT
TOHGSRFANG
XOYOTIABOIUZXVEYOFMHVE
JXVCQNKWXJNAPCWQJBSVJOSYFJHARREPCVYM
BHOJQESLZURPTZQZZWZIYJVNRVAMEQQCWZATDGTMMOPYUYBKOPMSY
ZKTTZKAPATYXETPCTBUYCRZPKDFASOJOJETHDQSIDZGTOIXIAHFMJNPHQLUIQLHSRGZFGJ
LCZQQWXQNIRD
SRB
PWEYSJDBKYFMTRPICUQDMNDOZAHGDLXDYJAEUOBLHNFDYRKR
ERKWUQYNLFRLWCPRYINHKWSBRRNZLAVMDKU
UYADXYIHQBYBDAKQCZFBRMDRVUEGXVTQAWRLXEQPRWUXIKWKDUPVJWAGRKHAQWXLYOS
AIRSADGTTUPLKGHQEQICJASXCHCTNJSFZKAHAZS
VGKUHZIDZMJYNXKEMIKXYTVHFLMUJQZQJXOWEFJCMOVAMIVDRNBHYRYEQSHGINYAIW
UHDCEAABXTNGXMTYSGWSMKMPWCKIOPLOUWRTKHNCQMGT
FESKRRMPHUJEXFIDZBUKXBTZWOIG
VJPYQBMKJPFPPSMXPYKVRXOGPJUHSLQPASBMA
TDCRQZSEAZQTGQYFZMUXEATWXQREHHHSOJZWCROAANVNNHSQLOIHSFCXGPWZIPA
GFTHHUVCV
CEBTNDPFCYMSQYXWYJCNADAVKMFSPYJTDHDRYYQFKDHZWFISSPJHRKMPTAT
DACGUMHKSWLPIUNDUBZNVMDWKTBPWVRMAATW
HBTJJABBAUHEPZTUWFUZYZIEDMUF
DLYINDNYVYNJGYZDTFKYURQ
ZGAHLBSYTLEFYSCQUDKQRSQPDVVKAIVD
MBWIKXFJVHPVRYQQDNPMZMMTPCFLKKXWKFJTSCSNFEJWYCQNET
QBLQC
STCBJQQLMRQIKVMKFRDLGIX
MWNUILOQUHDXSP
RWLAEQWQELUGKXRBKXDJYCZXXRCGOWVCGIMPYNZ
TWMUPYEDHPEREMLKQVJKFUGXLGINKCMGULPCEJKDMMZIJVLT
KLAD
ACJOBBAKEGLKFBWOCFXXBPGPYKFKKUPGGLGLVMLMDADFTMM
XHXHX
LTQZOBFLGONRONLQKXPWVEMTDPVZRXKWWCTHQX
FFBXWNDZZKPSKOSSRMSPHVQBSYQQMPBXVZFJVBADEAMWUNYIYNUCIWTR
MFRJDLINYCSNMSPTFMUJEKKINRHLTET
TBXRCEHSMUPFDWYYGOV
A
EWZLNEAOOERRVIWJPGJKTITIHKJOC
RDZKV
ICRANDYEYBLWHFRMLHILUGSPLRIEXIRLBHEITODZRHONJK
ZIPCQGTLMVBIOOKALBNMWWOCGSOOGNNVYJURVDDNAYQOHFOFPMBE
LJGRFQOVBPXHITNWWSQDQZDMHPFB
MBVT
OPTJAQIJADUKHUGYJINXNCGTKHJMUXKBQPGSPXVCXYIDDQYRCSMI
XXUXYNL
KEYAXKJ
UJAOERHEFHSQQMGDJQVFKYUKJTEZCNQNQDZGTEWSWLGAQ
PUUQYBLEUSOMH
LKKMCOFL
PXJIJJGPOXCHZAFSPGZZQRXJBRZPNASRXPPOAMDHNDOAWSPBVOFPUPHPBWPQFWSCYH
HQTXULF
WORXCIJSUJTGSBUVUFDOMITKCAJLNWVWBMAWERSYKJFHXPXMJIHK
AYKFJQHBHBTNRZYICNLMXYTSMWBEVOO
FGHPCQWPQNLQTURGPQCAVPSOEDONFVHNIBGMBQIXGUJSRMZDEZKNREWGYOQ
UWUHFLCOOKPSCCIDQRQDFQVNTXAILZCIMVHCWRROFCCLLEIEHUHGPWCRBUA
CORIMBDJFFKXH
ZOGJQKMLOBUODQUABVVBPZZVQRPJZQH
PPWNEZNTXJDCTWOOZF
TCDJBSMTFYMBDTEUPYXRIIFGKYUKDPTKIFYKFWRNPMYXCBZ
PXUTPVVNWPKFFRNGEBU
WLRXJWQBQEFHFMWDVBMVEWPQQQWQLFNANI
LWYRZUWQIOWLVULBWBEVSUVCNVFJGTWWUOVQ
Problem Description Link:
Problem Analysis Link:
Problem Id:
11548
