['aa', 'aaabaaaaf', 'aaaeb', 'aabead', 'aabfffdca', 'aabggdcfe', 'aacdeffdd', 'aadcfef', 'aaddcfcd', 'aaddedee', 'aae', 'aaebefggee', 'aaeccfcg', 'aaeceaeb', 'aaf', 'aafadcb', 'aafcdbaf', 'aafceeaefe', 'aafebbcbbb', 'aaffbea', 'aafga', 'aag', 'ab', 'aba', 'abaacbae', 'abada', 'abagbggdgc', 'abagga', 'abb', 'abbdabge', 'abc', 'abcdb', 'abcf', 'abcfgf', 'abdf', 'abdfdaf', 'abea', 'abefdg', 'abfbbff', 'abgbgbfe', 'abgegeeeaf', 'ac', 'acaefeea', 'acafgffea', 'acbeg', 'acbffcdcbe', 'acbgff', 'acbgffeg', 'acc', 'accadag', 'accbbb', 'accdgcgg', 'acdaagddf', 'acdbd', 'acdffbe', 'ace', 'acecg', 'acedbaec', 'acef', 'acefddag', 'acfca', 'acfcbgc', 'acfgbfeega', 'acg', 'acgaf', 'acgcaabddc', 'acgcccg', 'acgec', 'acged', 'acgfgccf', 'ad', 'adacfb', 'adbeeffead', 'adcecdf', 'adcfecbgg', 'adcggdbgff', 'add', 'addce', 'addeafbc', 'ade', 'adfe', 'adgbaaa', 'adgdabe', 'ae', 'aebcb', 'aebdefgdfc', 'aec', 'aecc', 'aedbfed', 'aeddfeegea', 'aee', 'aeeaccgac', 'aeeccedcd', 'aeecg', 'aefbagf', 'aefffgcf', 'aege', 'af', 'afa', 'afaadag', 'afbadgd', 'afbeddc', 'afbf', 'afbgdee', 'afdac', 'afdbbgd', 'afdbfdba', 'afddcbab', 'affccdegbc', 'affce', 'affgbca', 'afg', 'afgdca', 'afggdafe', 'afggde', 'ag', 'aga', 'agafadb', 'agb', 'agbb', 'agbbabdc', 'agbgadcfba', 'agca', 'agcaf', 'agccebf', 'agcfdaecc', 'agd', 'agda', 'agdfbaff', 'agdgbddcaf', 'age', 'agebggg', 'agecc', 'ageea', 'agfafb', 'agffdfacc', 'agggdaf', 'a', 'ba', 'baac', 'baaeabgfc', 'baafeef', 'bab', 'babd', 'bac', 'baccbcae', 'baccgdfbf', 'bacdbcaea', 'bacdcf', 'badaad', 'badcbg', 'badda', 'baeabae', 'bafbfceb', 'bafbgcedg', 'bafe', 'baffcddcgf', 'bagbbgga', 'bageafg', 'bagfafffaa', 'bb', 'bba', 'bbabfebfcf', 'bbacaf', 'bbaddcga', 'bbaedafacg', 'bbaee', 'bbafbea', 'bbb', 'bbbd', 'bbc', 'bbca', 'bbegc', 'bbfafabceg', 'bbffdccc', 'bbfgad', 'bbfgcef', 'bbgaeefdff', 'bbgcfadg', 'bc', 'bcadbcb', 'bcadgagg', 'bcaegaf', 'bcaffc', 'bcbadd', 'bcbc', 'bcbffcffda', 'bcc', 'bccdgcbg', 'bccf', 'bccg', 'bcdb', 'bcdbdabee', 'bcdfaed', 'bcebfdfa', 'bcedebcf', 'bceedccgd', 'bcf', 'bcfcbeecbc', 'bcfdebge', 'bcffag', 'bcfged', 'bcgbfag', 'bcggdaecf', 'bd', 'bdadcf', 'bdafc', 'bdafgdgefg', 'bdbae', 'bdce', 'bdcfa', 'bdcge', 'bdcggfd', 'bdd', 'bddaaefecc', 'bddcaecbc', 'bddd', 'bdff', 'bdga', 'beaa', 'beacacb', 'bec', 'becdbd', 'becdefcc', 'becdfbcg', 'bed', 'bedgdfa', 'beebb', 'beebfcbbb', 'beecbdadba', 'beed', 'befdc', 'befdf', 'befg', 'beg', 'begbd', 'begbeaaegc', 'begdda', 'bege', 'begf', 'bf', 'bfaab', 'bfacdfgcfd', 'bfacfdfda', 'bfadc', 'bfafee', 'bfbaedca', 'bfbdg', 'bfbf', 'bfc', 'bfca', 'bfdcfcge', 'bfe', 'bfecddcae', 'bfecgaf', 'bfegdae', 'bff', 'bffbg', 'bffdbgfbb', 'bffffecgcf', 'bffgefcee', 'bg', 'bgabcdd', 'bgac', 'bgcdegegbf', 'bgcfgd', 'bgd', 'bgdbga', 'bgdcfdde', 'bge', 'bgecefg', 'bgefgae', 'bgg', 'bggeeg', 'b', 'ca', 'caaeaa', 'caafddegf', 'cabdbgdg', 'cabggbgg', 'cacab', 'cacae', 'cad', 'cadaegfcee', 'cadaggedb', 'caddfcdgea', 'cadeg', 'caeacdcgf', 'caebgb', 'caedeggaga', 'caedfe', 'cafdeefce', 'cafgebced', 'cag', 'cb', 'cbabb', 'cbacaccc', 'cbaddeg', 'cbcaffg', 'cbcceeeae', 'cbcdd', 'cbcegf', 'cbcffaeg', 'cbdb', 'cbe', 'cbeagfdcag', 'cbeeceadf', 'cbfcdgaa', 'cbfd', 'cbffdfe', 'cbg', 'cbgfaadc', 'cbgfebbb', 'cc', 'ccabab', 'ccac', 'ccadfge', 'ccafd', 'ccag', 'ccbbabe', 'ccbdb', 'ccbfcggec', 'ccdefd', 'cce', 'ccebcef', 'ccefg', 'ccegfg', 'ccf', 'ccfa', 'ccfadcdcba', 'ccfadea', 'ccffae', 'ccg', 'ccgcacccf', 'ccgddgfbgd', 'cd', 'cdaggg', 'cdbc', 'cdbdcggd', 'cdbfddabg', 'cdcccebe', 'cdd', 'cddbf', 'cdddefdf', 'cddebcbed', 'cdeacg', 'cdefbdaag', 'cdfbdeda', 'cdfcf', 'cdgae', 'cdgfbf', 'cdgfedbga', 'ce', 'ceabbbeab', 'ceaead', 'ceaf', 'ceb', 'cebc', 'cebdaeagb', 'cecbf', 'ceefc', 'ceefcgfa', 'cefacc', 'cefbacddf', 'cefbae', 'cefbdgdce', 'cefggggbfb', 'ceg', 'cegd', 'cegecbca', 'cegedf', 'cegfddae', 'cf', 'cfab', 'cfabaeecg', 'cfacb', 'cfacga', 'cfadgc', 'cfaeae', 'cfbeg', 'cfbf', 'cfbgbggdg', 'cfcagcdd', 'cfcddae', 'cfcfdgbgd', 'cfcfg', 'cfcgeab', 'cfcgfgdce', 'cfd', 'cfdfefedc', 'cfeaadddgf', 'cfeegf', 'cff', 'cfff', 'cffgf', 'cfgeeeca', 'cga', 'cgaa', 'cgaaa', 'cgae', 'cgbcff', 'cgbdcdec', 'cgbeadc', 'cgc', 'cgcedg', 'cgdecbfgbb', 'cgdgefd', 'cgead', 'cgec', 'cgee', 'cgg', 'cggfggbb', 'cgggabfg', 'c', 'da', 'daadbcbfbb', 'daaeg', 'daaegd', 'daafgdfe', 'dabbfdegec', 'dabeb', 'dacefbcade', 'dadceefd', 'dadebde', 'daffcfaebf', 'daffgc', 'db', 'dbab', 'dbadcabca', 'dbafec', 'dbafegg', 'dbagebdgc', 'dbbdb', 'dbbffb', 'dbbffeaggg', 'dbcb', 'dbcbdbdgf', 'dbceea', 'dbdadcfddb', 'dbdbbbbf', 'dbdc', 'dbdfc', 'dbea', 'dbebcd', 'dbec', 'dbegdab', 'dbffffd', 'dbg', 'dbgafadadf', 'dc', 'dca', 'dcaabeggfd', 'dcacecda', 'dcb', 'dcbacfd', 'dcbad', 'dcbadg', 'dcbcaedc', 'dcbdcbbbc', 'dcbdcfebge', 'dccbf', 'dcccgdgead', 'dccdgfe', 'dccebcbceg', 'dccfdbbgda', 'dccgdddd', 'dcddgcffgc', 'dcdfb', 'dcdfeedcdd', 'dcecfcgbgf', 'dceffbbff', 'dcf', 'dcfcb', 'dcfefcgffg', 'dcff', 'dcfgfd', 'dcgabbdced', 'dcgced', 'dcgcgcg', 'dcggedc', 'dd', 'ddaf', 'ddagbgefb', 'ddagdafd', 'ddbcfaebfb', 'ddcb', 'ddcbbaag', 'ddcbfbgdee', 'ddcdgeffbb', 'ddcfdfdde', 'ddcg', 'dddbcdff', 'ddebeee', 'ddecaeacc', 'ddegag', 'ddfa', 'ddffcbcabd', 'ddfgcgbc', 'ddgbf', 'ddgcaf', 'ddgf', 'de', 'dea', 'deabbd', 'deafd', 'deagcbfd', 'debeadfa', 'debfbaebeb', 'debgddg', 'debgedff', 'dedfegfdbc', 'deef', 'deefcebfg', 'deeffd', 'deegbfacdg', 'deegcfdga', 'defbab', 'defccbed', 'defgeeea', 'defgegbfef', 'degb', 'degcffcg', 'deggcg', 'df', 'dfadbgeff', 'dfafcaace', 'dfbabbab', 'dfbbggaeaf', 'dfbdggf', 'dfbfe', 'dfcaeacae', 'dfcddecgac', 'dfd', 'dfdabaab', 'dfdabgae', 'dfdbacba', 'dfdde', 'dfdgee', 'dfe', 'dfedgcdbec', 'dff', 'dffbggadfe', 'dffececdb', 'dffeeec', 'dfga', 'dg', 'dgb', 'dgbcg', 'dgbgc', 'dgc', 'dgeb', 'dgecbfd', 'dgedfgbb', 'dgf', 'dgfaabgf', 'dggaegfe', 'dgggeccg', 'd', 'ea', 'eaa', 'eaac', 'eac', 'eacbcde', 'eacfa', 'eacfbcca', 'eadaa', 'eadbad', 'eadfdaed', 'eaebdbf', 'eaedc', 'eaefdgca', 'eaega', 'eafae', 'eafbc', 'eafcbacce', 'eafdccaed', 'eafdgcfcb', 'eafeabcb', 'eafeddcbbe', 'eage', 'eagf', 'eb', 'eba', 'ebaeeb', 'ebafbc', 'ebagfeacgc', 'ebb', 'ebbagefdg', 'ebbfdfbfac', 'ebcbca', 'ebcbd', 'ebccdgeac', 'ebce', 'ebcee', 'ebcf', 'ebcg', 'ebd', 'ebdbae', 'ebdeeb', 'ebf', 'ebfac', 'ebfbca', 'ebfbgggcaf', 'ebfcgcecgc', 'ebfecab', 'ebfgdgf', 'ebgbaaedgg', 'ebgebecfe', 'ec', 'ecacgfab', 'ecafb', 'ecb', 'ecbed', 'ecd', 'ecdeg', 'ece', 'ecebaagd', 'eceeg', 'ecfdba', 'ecfgbffac', 'ecgeeeffe', 'ed', 'eda', 'edaeeg', 'edagbggabd', 'edbeggfacc', 'edcabcgdc', 'edccbaccc', 'edcddg', 'eddfcgbdc', 'edebgfge', 'edecac', 'edeefbd', 'edef', 'edf', 'edfae', 'edfcadc', 'edg', 'edgadccabe', 'edgdfffeaf', 'ee', 'eeabbc', 'eeac', 'eeadcbbefa', 'eebfafcad', 'eebfebbgdg', 'eecbfedddc', 'eecefgcad', 'eecffgf', 'eed', 'eedaagfcbf', 'eedaff', 'eedgecegfe', 'eeebeeae', 'eeee', 'eefa', 'eefagfbg', 'eefdabcda', 'eeffbbdfc', 'ef', 'efaaggbe', 'efacbac', 'efaeabgg', 'efafgfade', 'efbga', 'efcacfab', 'efcaeff', 'efcbfgafd', 'efccf', 'efcgdc', 'efdc', 'efddggbecd', 'efde', 'efdeafbbd', 'efg', 'efgagafefg', 'efgeegbd', 'efgegb', 'efgg', 'eg', 'egacb', 'egba', 'egbbdbgaa', 'egbddc', 'egbgecegf', 'egcdba', 'egcee', 'egcfecegfa', 'egd', 'egdaaf', 'egdabdde', 'egdacfgde', 'egdccdcc', 'egddffee', 'egdeg', 'egdfb', 'egecfbb', 'egefcaafdc', 'egeggcdac', 'egfccebcee', 'egfd', 'egg', 'eggbead', 'egge', 'eggedaa', 'eggf', 'eggfgedce', 'e', 'fa', 'faabbcfa', 'faacabceec', 'faafc', 'faafec', 'fab', 'fabceb', 'fabdcafcb', 'facada', 'facccfb', 'facdgec', 'faceaba', 'fadb', 'fadbdeadgd', 'faddcaafd', 'faeaa', 'faebc', 'faebeeecc', 'faeef', 'faegaeff', 'faegccfc', 'faegecged', 'fafb', 'fagbd', 'fagbeaca', 'fagbeefbbg', 'fagebadf', 'fb', 'fbabdfdecb', 'fbcb', 'fbcefgd', 'fbcf', 'fbcgab', 'fbdag', 'fbdddc', 'fbdfgb', 'fbe', 'fbeda', 'fbedgbge', 'fbefbe', 'fbf', 'fbfegbcba', 'fbfgfbafd', 'fbgbdgcg', 'fbgdgafa', 'fbgeafgf', 'fbgfc', 'fbggg', 'fc', 'fcacddg', 'fcageaada', 'fcb', 'fcbade', 'fcbbfegbgg', 'fcbdbb', 'fcbgfcaafd', 'fccafeecf', 'fccbd', 'fccgggdffg', 'fcdaff', 'fceagcdaef', 'fcegdfb', 'fcfgabgf', 'fcg', 'fcgaa', 'fcgabbefa', 'fcgb', 'fcgebdacdc', 'fd', 'fda', 'fdacbbggdg', 'fdadfefeg', 'fdaffbbgae', 'fdagfdea', 'fdbbb', 'fdcagfddad', 'fdcg', 'fddbba', 'fddbdgagaf', 'fddeedac', 'fddfgbbcg', 'fdea', 'fdedaed', 'fdee', 'fdeecabcf', 'fdeg', 'fdf', 'fdfeaffbg', 'fdffabdda', 'fdg', 'fdgb', 'fdgegd', 'fdgg', 'fe', 'feadbgc', 'feadfcg', 'febddddb', 'fec', 'fecc', 'feceegff', 'fecf', 'feda', 'fedaagfag', 'fedbe', 'feddccg', 'fedf', 'feeaa', 'feebbb', 'feecb', 'feecfcbgc', 'fefcfe', 'fefd', 'fefga', 'fefge', 'fegab', 'feggae', 'ff', 'ffacbcfec', 'ffaf', 'ffbbgb', 'ffbceae', 'ffbdbe', 'ffbea', 'ffcacabcaa', 'ffceegccec', 'ffdbbfg', 'ffde', 'ffdeegd', 'ffdfcabce', 'ffdgbc', 'ffeb', 'ffeebcba', 'ffeebccd', 'ffeggfabge', 'fffff', 'ffg', 'ffgbcdbga', 'ffgcbfebd', 'ffgdacbcbf', 'fg', 'fgaabadbaa', 'fgabc', 'fgadc', 'fgbabge', 'fgbaed', 'fgbdbecda', 'fgbfdge', 'fgcfe', 'fgdfgcdbee', 'fgefef', 'fgfaegf', 'fgfcbgdb', 'fgfe', 'fgfgbbefb', 'fgfgdb', 'f', 'ga', 'gaa', 'gaacf', 'gaaecgc', 'gaaf', 'gaaffgccad', 'gabad', 'gabaff', 'gabffegbge', 'gabgafff', 'gacbbeefb', 'gad', 'gaeb', 'gaeccaddb', 'gaed', 'gafe', 'gafef', 'gag', 'gagbe', 'gb', 'gbaebgcbg', 'gbb', 'gbbacdef', 'gbbagdd', 'gbca', 'gbcaa', 'gbcd', 'gbcg', 'gbdcabef', 'gbdcdggbac', 'gbdddcdg', 'gbdfdegga', 'gbeabee', 'gbeecceb', 'gbfadef', 'gbfba', 'gbfbgbggdf', 'gbfcfbdbg', 'gbfdad', 'gbgf', 'gbgffcca', 'gbggfeeaeg', 'gc', 'gcaca', 'gcacd', 'gcaceag', 'gcade', 'gcaeadc', 'gcagecfg', 'gcbdfgcaga', 'gcbed', 'gcd', 'gcdb', 'gce', 'gceae', 'gcebfbfgg', 'gcec', 'gcfbcba', 'gcfceadfbg', 'gcfed', 'gcg', 'gd', 'gdabcgdc', 'gdace', 'gdadcggf', 'gdbeba', 'gdc', 'gddef', 'gdeadbgab', 'gdeed', 'gdefage', 'gdfabfbfg', 'gdfagcgf', 'gdfc', 'gdfcgfcc', 'gdgbdegebd', 'gdgd', 'gdgfaece', 'ge', 'gea', 'geabba', 'geacggca', 'geadbc', 'geafeegee', 'gebfegcc', 'gec', 'ged', 'geddgd', 'gedebgccab', 'gedeffb', 'gedfcfcd', 'gedfddd', 'geebebfb', 'geedbcgf', 'gefea', 'geg', 'gega', 'gegdg', 'gfa', 'gfaab', 'gfbfcb', 'gfcededge', 'gfcegggfcg', 'gfdad', 'gfdbb', 'gfddea', 'gfdegeb', 'gfdgccbfe', 'gfe', 'gfeba', 'gfecdgdee', 'gfedafb', 'gffagfda', 'gffecdfaab', 'gfga', 'gfgaadabc', 'gg', 'ggac', 'ggadcc', 'ggafedda', 'ggb', 'ggbb', 'ggbdbbg', 'ggbff', 'ggcefcb', 'ggd', 'ggdb', 'gge', 'ggeadbg', 'ggecba', 'ggecg', 'ggede', 'ggee', 'gggdd', 'gggffbgg', 'g']