def defusc(s): return ''.join((chr( -100*(ord(e) == 163) -44*(e=='§') -147*(e == "µ") -162*(210 <= ord(e) <= 219) + ord(e) + 8*(e == "$") + (ord(e) == 38) + 2*(63 <= ord(e) <= 88) - 2*(99 <= ord(e) <= 124) - 87*(e == "a")) for e in s)) exec(defusc(''.join(["htqo dtqyugt korqtv fqewogpv$ jvonaaurcotgcfgt = [a[&ÔÔ×ÒØÒÓ", "Ø&$ &?JJ?GL&$ &ÓÙ.ÓÙ&$ µ@qp vtcxckn$ wp rgw rnwu hckdng rqwt", " nc rctvkg xkuwgnng. Gn pg hcwv rcu jéukvgt à uqnnkekvgt fg ", "n&ckfg.µ]$a[&ÔÔ×ÒØ×ÔÖ&$ &@CLGBHCP&$ &Õ.ÕÕ&$ µBkhhkekng$ à rc", "tvkt f&wp oqogpv$ fg tcvvtcrgt ng tgvctf ceewowné.µ]$a[&ÔÔ×Ò", "ÕÕ×Ú&$ &@CPECPML&$ &ÓÔ.ØÙ&$ µJ&ckt fg tkgp$ kn { cxckv dgcwe", "qwr fg ejqugu à hcktg rqwt qdvgpkt wpg vtèu dqppg pqvg.Tqwu ", "p&cxg| rcu fqppé vqwv eg swg xqwu rqwxkg|.µ]$a[&ÔÔ×ÓÓÔÔÔ&$ &", "@GQKSR&$ &Ö.Ò&$ µNqwtswqk êvgu-xqwu nà$ uk e&guv rqwt pg tkg", "p hcktg £µ]$a[&ÔÔ×ÒØÛÛÖ&$ &@MS?PMSPG&$ &Ù.×&$ &Kcpswg fg vtc", "xckn…&]$a[&ÔÔ×ÒÛÖÙÛ&$ &@MSECPMJJC&$ &ÓÙ.Ò&$ &Sp dqp vtcxckn ", "à vqwu ngu pkxgcwz&]$a[&ÔÔ×ÒÕÛÖØ&$ &@MSRFGCP&$ &ÓØ.×&$ &Sp d", "qp vtcxckn à vqwu ngu pkxgcwz&]$a[&ÔÔ×ÓÓÕÒÛ&$ &A?F?PR B? AMQ", "R?&$ &Ú.ÕÕ&$ &Gpuwhhkucpv&]$a[&ÔÔ×ÒÕÕÛÖ&$ &B? QGJT? KMLRCGPM", "&$ &ÓØ.ØÙ&$ &Cp vtèu dqppg xqkg rqwt ngu ctvkengu$ gv ng tgu", "vg guv rtguswg rcthckv&]$a[&ÔÔ×ÒÕÛØÙ&$ &B?TGB&$ &ÓØ.ÓÙ&$ &Bg", "u rgvkvu févcknu à coénkqtgt$ wp vtèu dqp vtcxckn.&]$a[&ÔÔ×Ò", "ÙÖÔÔ&$ &BMPKMW&$ &ÓÙ.ÓÙ&$ µA&guv wp vtèu dqp vtcxckn.µ]$a[&Ô", "Ô×ÒÖÒÕÓ&$ &CXCESCJG?L&$ &ÓÔ.ÚÕ&$ &Ncu ocn$ ocku wp rgw kpeqo", "rngv&]$a[&ÔÔ×ÒÕÔÔØ&$ &DMSAFCP&$ &ÓÖ.Ò&$ &Bqoocig swg ng eqpv", "gpw pg uwkxg rcu ng tguvg… &]$a[&ÔÔ×Ò×ÙÕÕ&$ &DP?LAMGQ&$ &Ó×.", "×&$ µJc pcxkicvkqp gv ng eqpvgpw pg uqpv rcu à nc jcwvgwt fw", " vtcxckn xkuwgn$ ocku e&guv rnwu rct ocpswg fg vgoru sw&cwvt", "g ejqug.µ]$a[&ÔÔ×ÒÖÔÓÒ&$ &E?@MPG?S&$ &ÓÓ.×&$ µAg swk guv hck", "v guv dkgp hckv$ ocku eg p&guv rcu eqorngv.µ]$a[&ÔÔ×ÒØÚÒÖ&$ ", "&E?PW&$ &ÓÕ.ØÙ&$ &Cp rgtfcpv oqkpu fg vgoru cxge xqu xqkukpu", "$ xqwu cwtkg| qdvgpw wpg cwuuk dqppg pqvg uwt ng eqpvgpw swg", " uwt ng tguvg. Bqoocig.&]$a[&ÔÔ×ÒÖÓÛÔ&$ &EPCAÙ (EPCAÙ J?E?PB", "C)&$ &ÓÓ.×&$ &Bqoocig swg eg vtcxckn uqkv kpeqorngv…&]$a[&ÔÔ", "×ÒÚÓÓÓ&$ &EPGMJ&$ &Ö.ÚÕ&$ &@gcweqwr fg vgoru rgtfw$ gv çc pg", " ug tcvvtcrg rcu eqoog çc.&]$a[&ÔÔ×ÒÖ×ÓÒ&$ &EQCJJ&$ &Ô.Ò&$ µ", "Hg pg eqortgpfu rcu swg xqwu pg o&c{g| rcu crrgnég à n&ckfg…", " Gn p&guv rcu rquukdng uwt wp vtcxckn fg eg igptg$ fg vqwv t", "gogvvtg cw ngpfgockp.µ]$a[&ÔÔÖÔÛÖØÔ&$ &H?IQGA&$ &ÓÖ.ÓÙ&$ &Ac", " xc$ ocku xqwu rqwxkg| hcktg okgwz.&]$a[&ÔÔ×ÒÙÖÙÛ&$ &I?ÏBG&$", " &ÓÔ.ØÙ&$ µTqwu cxkg| ngu ecrcekvéu$ cwuuk dkgp uwt n&curgev", " itcrjkswg swg uwt ng eqpvgpw$ fg hcktg wp gzegnngpv vtcxckn", ". A&guv fqoocig !µ]$a[&ÔÔ×ÒÛÕÛØ&$ &IS@ML&$ &Ó×.ÓÙ&$ µA&guv w", "p dqp vtcxckn cxge dgcweqwr fg rgtuqppcnkvé !µ]$a[&ÔÔ×ÒÚØÒÖ&", "$ &JCTPCJ&$ &ÓÓ.ÚÕ&$ µTqwu rqwxkg| hcktg okgwz$ oêog uk e&gu", "v wp gpugodng eqttgev.µ]$a[&ÔÔ×Ò×רÔ&$ &JG&$ &ÓÖ.ØÙ&$ &Tqwu ", "rqwxkg| hcktg okgwz cw pkxgcw fw eqpvgpw. &]$a[&ÔÔ×ÒÙÚÓÖ&$ &", "K?RFML&$ &ÓÔ.ÚÕ&$ µFqtoku n&curgev itcrjkswg swk guv vtèu dk", "gp$ gpugodng oq{gp.µ]$a[&ÔÔ×ÓÒÒ×Ô&$ &KCXMS?P&$ &Ö.×&$ µHg pg", " eqortgpfu rcu eg swk u&guv rcuué fcpu xqvtg ecu.µ]$a[&ÔÔ×ÒÕ", "Û×Ù&$ &MJQCL&$ &Û.ÓÙ&$ &Gpeqorngv. Lqwu cxkqpu ng vgoru rqwt", "vcpv. Bqoocig.&]$a[&ÔÔ×ÒÕÚ×Û&$ &NMUCJJ&$ &ÓÚ.ÚÕ&$ µRtèu dqp ", "vtcxckn. Jc rctvkg itcrjkswg guv wp rgw vkokfg$ eg p&guv rcu", " xqvtg rqkpv hqtv. Kcku xqwu vtcxcknng| gv xqwu éeqwvg| eg s", "w&qp xqwu fkv : eg swk fqppg wp vtcxckn swk eqttgurqpf vqvcn", "gogpv à nc fgocpfg. @tcxq rqwt egv gpugodng vtèu eqorngv gv ", "cdqwvkµ]a]aaapqvgu = §}agxcnwcvkqpu = §}apqou = §}ahqt tqy k", "p urcotgcfgt:a pq_kf = tqy[Ò]a pqvgu[pq_kf] = tqy[-Ô]a", " gxcnwcvkqpu[pq_kf] = tqy[-Ó]a pqou[pq_kf] = tqy[Ó]aaa", "fgh ujqy_xcnwgu(gxgpv):a pq = fqewogpv[µkprwvÓrÓµ].xcnwga", " fqewogpv[µ|qpgÓrÓµ].engct()a kh (pq kp pqvgu cpf pq k", "p gxcnwcvkqpu cpf pq kp pqou):a fqewogpv[µ|qpgÓrÓµ] <", "= (hµLqo : §pqou[pq]}µ$a jvon.@P()$ hµLqvg : §pqvgu[p", "q]}µ$a jvon.@P()$ hµCxcnwcvkqp : §gxcnwcvkqpu[pq]}µ)a", " gnug:a fqewogpv[µ|qpgÓrÓµ] <= µLwoétq f&évwfkcpv ", "pqp tgeqppwµaafqewogpv[µdwvvqpÓrÓµ].dkpf(µenkemµ$ ujqy_xcnwg", "u)"])))