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'BabaBBBBAA', 'BabaBBBBAB', 'BabaBBBBB', 'BabaBBBBBa', 'BabaBBBBBA', 'BabaBBBBBB', 'Babb', 'Babba', 'Babbaa', 'Babbaaa', 'Babbaaaa', 'Babbaaaaa', 'Babbaaaaaa', 'Babbaaaaab', 'BabbaaaaaB', 'Babbaaaab', 'Babbaaaaba', 'Babbaaaabb', 'BabbaaaabA', 'BabbaaaaB', 'BabbaaaaBa', 'BabbaaaaBA', 'BabbaaaaBB', 'Babbaaab', 'Babbaaaba', 'Babbaaabaa', 'Babbaaabab', 'BabbaaabaB', 'Babbaaabb', 'Babbaaabba', 'Babbaaabbb', 'BabbaaabbA', 'BabbaaabA', 'BabbaaabAb', 'BabbaaabAA', 'BabbaaabAB', 'BabbaaaB', 'BabbaaaBa', 'BabbaaaBaa', 'BabbaaaBab', 'BabbaaaBaB', 'BabbaaaBA', 'BabbaaaBAb', 'BabbaaaBAA', 'BabbaaaBAB', 'BabbaaaBB', 'BabbaaaBBa', 'BabbaaaBBA', 'BabbaaaBBB', 'Babbaab', 'Babbaaba', 'Babbaabaa', 'Babbaabaaa', 'Babbaabaab', 'BabbaabaaB', 'Babbaabab', 'Babbaababa', 'Babbaababb', 'BabbaababA', 'BabbaabaB', 'BabbaabaBa', 'BabbaabaBA', 'BabbaabaBB', 'Babbaabb', 'Babbaabba', 'Babbaabbaa', 'Babbaabbab', 'BabbaabbaB', 'Babbaabbb', 'Babbaabbba', 'Babbaabbbb', 'BabbaabbbA', 'BabbaabbA', 'BabbaabbAb', 'BabbaabbAA', 'BabbaabbAB', 'BabbaabA', 'BabbaabAb', 'BabbaabAba', 'BabbaabAbb', 'BabbaabAbA', 'BabbaabAA', 'BabbaabAAb', 'BabbaabAAA', 'BabbaabAAB', 'BabbaabAB', 'BabbaabABa', 'BabbaabABA', 'BabbaabABB', 'BabbaaB', 'BabbaaBa', 'BabbaaBaa', 'BabbaaBaaa', 'BabbaaBaab', 'BabbaaBaaB', 'BabbaaBab', 'BabbaaBaba', 'BabbaaBabb', 'BabbaaBabA', 'BabbaaBaB', 'BabbaaBaBa', 'BabbaaBaBA', 'BabbaaBaBB', 'BabbaaBA', 'BabbaaBAb', 'BabbaaBAba', 'BabbaaBAbb', 'BabbaaBAbA', 'BabbaaBAA', 'BabbaaBAAb', 'BabbaaBAAA', 'BabbaaBAAB', 'BabbaaBAB', 'BabbaaBABa', 'BabbaaBABA', 'BabbaaBABB', 'BabbaaBB', 'BabbaaBBa', 'BabbaaBBaa', 'BabbaaBBab', 'BabbaaBBaB', 'BabbaaBBA', 'BabbaaBBAb', 'BabbaaBBAA', 'BabbaaBBAB', 'BabbaaBBB', 'BabbaaBBBa', 'BabbaaBBBA', 'BabbaaBBBB', 'Babbab', 'Babbaba', 'Babbabaa', 'Babbabaaa', 'Babbabaaaa', 'Babbabaaab', 'BabbabaaaB', 'Babbabaab', 'Babbabaaba', 'Babbabaabb', 'BabbabaabA', 'BabbabaaB', 'BabbabaaBa', 'BabbabaaBA', 'BabbabaaBB', 'Babbabab', 'Babbababa', 'Babbababaa', 'Babbababab', 'BabbababaB', 'Babbababb', 'Babbababba', 'Babbababbb', 'BabbababbA', 'BabbababA', 'BabbababAb', 'BabbababAA', 'BabbababAB', 'BabbabaB', 'BabbabaBa', 'BabbabaBaa', 'BabbabaBab', 'BabbabaBaB', 'BabbabaBA', 'BabbabaBAb', 'BabbabaBAA', 'BabbabaBAB', 'BabbabaBB', 'BabbabaBBa', 'BabbabaBBA', 'BabbabaBBB', 'Babbabb', 'Babbabba', 'Babbabbaa', 'Babbabbaaa', 'Babbabbaab', 'BabbabbaaB', 'Babbabbab', 'Babbabbaba', 'Babbabbabb', 'BabbabbabA', 'BabbabbaB', 'BabbabbaBa', 'BabbabbaBA', 'BabbabbaBB', 'Babbabbb', 'Babbabbba', 'Babbabbbaa', 'Babbabbbab', 'BabbabbbaB', 'Babbabbbb', 'Babbabbbba', 'Babbabbbbb', 'BabbabbbbA', 'BabbabbbA', 'BabbabbbAb', 'BabbabbbAA', 'BabbabbbAB', 'BabbabbA', 'BabbabbAb', 'BabbabbAba', 'BabbabbAbb', 'BabbabbAbA', 'BabbabbAA', 'BabbabbAAb', 'BabbabbAAA', 'BabbabbAAB', 'BabbabbAB', 'BabbabbABa', 'BabbabbABA', 'BabbabbABB', 'BabbabA', 'BabbabAb', 'BabbabAba', 'BabbabAbaa', 'BabbabAbab', 'BabbabAbaB', 'BabbabAbb', 'BabbabAbba', 'BabbabAbbb', 'BabbabAbbA', 'BabbabAbA', 'BabbabAbAb', 'BabbabAbAA', 'BabbabAbAB', 'BabbabAA', 'BabbabAAb', 'BabbabAAba', 'BabbabAAbb', 'BabbabAAbA', 'BabbabAAA', 'BabbabAAAb', 'BabbabAAAA', 'BabbabAAAB', 'BabbabAAB', 'BabbabAABa', 'BabbabAABA', 'BabbabAABB', 'BabbabAB', 'BabbabABa', 'BabbabABaa', 'BabbabABab', 'BabbabABaB', 'BabbabABA', 'BabbabABAb', 'BabbabABAA', 'BabbabABAB', 'BabbabABB', 'BabbabABBa', 'BabbabABBA', 'BabbabABBB', 'BabbaB', 'BabbaBa', 'BabbaBaa', 'BabbaBaaa', 'BabbaBaaaa', 'BabbaBaaab', 'BabbaBaaaB', 'BabbaBaab', 'BabbaBaaba', 'BabbaBaabb', 'BabbaBaabA', 'BabbaBaaB', 'BabbaBaaBa', 'BabbaBaaBA', 'BabbaBaaBB', 'BabbaBab', 'BabbaBaba', 'BabbaBabaa', 'BabbaBabab', 'BabbaBabaB', 'BabbaBabb', 'BabbaBabba', 'BabbaBabbb', 'BabbaBabbA', 'BabbaBabA', 'BabbaBabAb', 'BabbaBabAA', 'BabbaBabAB', 'BabbaBaB', 'BabbaBaBa', 'BabbaBaBaa', 'BabbaBaBab', 'BabbaBaBaB', 'BabbaBaBA', 'BabbaBaBAb', 'BabbaBaBAA', 'BabbaBaBAB', 'BabbaBaBB', 'BabbaBaBBa', 'BabbaBaBBA', 'BabbaBaBBB', 'BabbaBA', 'BabbaBAb', 'BabbaBAba', 'BabbaBAbaa', 'BabbaBAbab', 'BabbaBAbaB', 'BabbaBAbb', 'BabbaBAbba', 'BabbaBAbbb', 'BabbaBAbbA', 'BabbaBAbA', 'BabbaBAbAb', 'BabbaBAbAA', 'BabbaBAbAB', 'BabbaBAA', 'BabbaBAAb', 'BabbaBAAba', 'BabbaBAAbb', 'BabbaBAAbA', 'BabbaBAAA', 'BabbaBAAAb', 'BabbaBAAAA', 'BabbaBAAAB', 'BabbaBAAB', 'BabbaBAABa', 'BabbaBAABA', 'BabbaBAABB', 'BabbaBAB', 'BabbaBABa', 'BabbaBABaa', 'BabbaBABab', 'BabbaBABaB', 'BabbaBABA', 'BabbaBABAb', 'BabbaBABAA', 'BabbaBABAB', 'BabbaBABB', 'BabbaBABBa', 'BabbaBABBA', 'BabbaBABBB', 'BabbaBB', 'BabbaBBa', 'BabbaBBaa', 'BabbaBBaaa', 'BabbaBBaab', 'BabbaBBaaB', 'BabbaBBab', 'BabbaBBaba', 'BabbaBBabb', 'BabbaBBabA', 'BabbaBBaB', 'BabbaBBaBa', 'BabbaBBaBA', 'BabbaBBaBB', 'BabbaBBA', 'BabbaBBAb', 'BabbaBBAba', 'BabbaBBAbb', 'BabbaBBAbA', 'BabbaBBAA', 'BabbaBBAAb', 'BabbaBBAAA', 'BabbaBBAAB', 'BabbaBBAB', 'BabbaBBABa', 'BabbaBBABA', 'BabbaBBABB', 'BabbaBBB', 'BabbaBBBa', 'BabbaBBBaa', 'BabbaBBBab', 'BabbaBBBaB', 'BabbaBBBA', 'BabbaBBBAb', 'BabbaBBBAA', 'BabbaBBBAB', 'BabbaBBBB', 'BabbaBBBBa', 'BabbaBBBBA', 'BabbaBBBBB', 'Babbb', 'Babbba', 'Babbbaa', 'Babbbaaa', 'Babbbaaaa', 'Babbbaaaaa', 'Babbbaaaab', 'BabbbaaaaB', 'Babbbaaab', 'Babbbaaaba', 'Babbbaaabb', 'BabbbaaabA', 'BabbbaaaB', 'BabbbaaaBa', 'BabbbaaaBA', 'BabbbaaaBB', 'Babbbaab', 'Babbbaaba', 'Babbbaabaa', 'Babbbaabab', 'BabbbaabaB', 'Babbbaabb', 'Babbbaabba', 'Babbbaabbb', 'BabbbaabbA', 'BabbbaabA', 'BabbbaabAb', 'BabbbaabAA', 'BabbbaabAB', 'BabbbaaB', 'BabbbaaBa', 'BabbbaaBaa', 'BabbbaaBab', 'BabbbaaBaB', 'BabbbaaBA', 'BabbbaaBAb', 'BabbbaaBAA', 'BabbbaaBAB', 'BabbbaaBB', 'BabbbaaBBa', 'BabbbaaBBA', 'BabbbaaBBB', 'Babbbab', 'Babbbaba', 'Babbbabaa', 'Babbbabaaa', 'Babbbabaab', 'BabbbabaaB', 'Babbbabab', 'Babbbababa', 'Babbbababb', 'BabbbababA', 'BabbbabaB', 'BabbbabaBa', 'BabbbabaBA', 'BabbbabaBB', 'Babbbabb', 'Babbbabba', 'Babbbabbaa', 'Babbbabbab', 'BabbbabbaB', 'Babbbabbb', 'Babbbabbba', 'Babbbabbbb', 'BabbbabbbA', 'BabbbabbA', 'BabbbabbAb', 'BabbbabbAA', 'BabbbabbAB', 'BabbbabA', 'BabbbabAb', 'BabbbabAba', 'BabbbabAbb', 'BabbbabAbA', 'BabbbabAA', 'BabbbabAAb', 'BabbbabAAA', 'BabbbabAAB', 'BabbbabAB', 'BabbbabABa', 'BabbbabABA', 'BabbbabABB', 'BabbbaB', 'BabbbaBa', 'BabbbaBaa', 'BabbbaBaaa', 'BabbbaBaab', 'BabbbaBaaB', 'BabbbaBab', 'BabbbaBaba', 'BabbbaBabb', 'BabbbaBabA', 'BabbbaBaB', 'BabbbaBaBa', 'BabbbaBaBA', 'BabbbaBaBB', 'BabbbaBA', 'BabbbaBAb', 'BabbbaBAba', 'BabbbaBAbb', 'BabbbaBAbA', 'BabbbaBAA', 'BabbbaBAAb', 'BabbbaBAAA', 'BabbbaBAAB', 'BabbbaBAB', 'BabbbaBABa', 'BabbbaBABA', 'BabbbaBABB', 'BabbbaBB', 'BabbbaBBa', 'BabbbaBBaa', 'BabbbaBBab', 'BabbbaBBaB', 'BabbbaBBA', 'BabbbaBBAb', 'BabbbaBBAA', 'BabbbaBBAB', 'BabbbaBBB', 'BabbbaBBBa', 'BabbbaBBBA', 'BabbbaBBBB', 'Babbbb', 'Babbbba', 'Babbbbaa', 'Babbbbaaa', 'Babbbbaaaa', 'Babbbbaaab', 'BabbbbaaaB', 'Babbbbaab', 'Babbbbaaba', 'Babbbbaabb', 'BabbbbaabA', 'BabbbbaaB', 'BabbbbaaBa', 'BabbbbaaBA', 'BabbbbaaBB', 'Babbbbab', 'Babbbbaba', 'Babbbbabaa', 'Babbbbabab', 'BabbbbabaB', 'Babbbbabb', 'Babbbbabba', 'Babbbbabbb', 'BabbbbabbA', 'BabbbbabA', 'BabbbbabAb', 'BabbbbabAA', 'BabbbbabAB', 'BabbbbaB', 'BabbbbaBa', 'BabbbbaBaa', 'BabbbbaBab', 'BabbbbaBaB', 'BabbbbaBA', 'BabbbbaBAb', 'BabbbbaBAA', 'BabbbbaBAB', 'BabbbbaBB', 'BabbbbaBBa', 'BabbbbaBBA', 'BabbbbaBBB', 'Babbbbb', 'Babbbbba', 'Babbbbbaa', 'Babbbbbaaa', 'Babbbbbaab', 'BabbbbbaaB', 'Babbbbbab', 'Babbbbbaba', 'Babbbbbabb', 'BabbbbbabA', 'BabbbbbaB', 'BabbbbbaBa', 'BabbbbbaBA', 'BabbbbbaBB', 'Babbbbbb', 'Babbbbbba', 'Babbbbbbaa', 'Babbbbbbab', 'BabbbbbbaB', 'Babbbbbbb', 'Babbbbbbba', 'Babbbbbbbb', 'BabbbbbbbA', 'BabbbbbbA', 'BabbbbbbAb', 'BabbbbbbAA', 'BabbbbbbAB', 'BabbbbbA', 'BabbbbbAb', 'BabbbbbAba', 'BabbbbbAbb', 'BabbbbbAbA', 'BabbbbbAA', 'BabbbbbAAb', 'BabbbbbAAA', 'BabbbbbAAB', 'BabbbbbAB', 'BabbbbbABa', 'BabbbbbABA', 'BabbbbbABB', 'BabbbbA', 'BabbbbAb', 'BabbbbAba', 'BabbbbAbaa', 'BabbbbAbab', 'BabbbbAbaB', 'BabbbbAbb', 'BabbbbAbba', 'BabbbbAbbb', 'BabbbbAbbA', 'BabbbbAbA', 'BabbbbAbAb', 'BabbbbAbAA', 'BabbbbAbAB', 'BabbbbAA', 'BabbbbAAb', 'BabbbbAAba', 'BabbbbAAbb', 'BabbbbAAbA', 'BabbbbAAA', 'BabbbbAAAb', 'BabbbbAAAA', 'BabbbbAAAB', 'BabbbbAAB', 'BabbbbAABa', 'BabbbbAABA', 'BabbbbAABB', 'BabbbbAB', 'BabbbbABa', 'BabbbbABaa', 'BabbbbABab', 'BabbbbABaB', 'BabbbbABA', 'BabbbbABAb', 'BabbbbABAA', 'BabbbbABAB', 'BabbbbABB', 'BabbbbABBa', 'BabbbbABBA', 'BabbbbABBB', 'BabbbA', 'BabbbAb', 'BabbbAba', 'BabbbAbaa', 'BabbbAbaaa', 'BabbbAbaab', 'BabbbAbaaB', 'BabbbAbab', 'BabbbAbaba', 'BabbbAbabb', 'BabbbAbabA', 'BabbbAbaB', 'BabbbAbaBa', 'BabbbAbaBA', 'BabbbAbaBB', 'BabbbAbb', 'BabbbAbba', 'BabbbAbbaa', 'BabbbAbbab', 'BabbbAbbaB', 'BabbbAbbb', 'BabbbAbbba', 'BabbbAbbbb', 'BabbbAbbbA', 'BabbbAbbA', 'BabbbAbbAb', 'BabbbAbbAA', 'BabbbAbbAB', 'BabbbAbA', 'BabbbAbAb', 'BabbbAbAba', 'BabbbAbAbb', 'BabbbAbAbA', 'BabbbAbAA', 'BabbbAbAAb', 'BabbbAbAAA', 'BabbbAbAAB', 'BabbbAbAB', 'BabbbAbABa', 'BabbbAbABA', 'BabbbAbABB', 'BabbbAA', 'BabbbAAb', 'BabbbAAba', 'BabbbAAbaa', 'BabbbAAbab', 'BabbbAAbaB', 'BabbbAAbb', 'BabbbAAbba', 'BabbbAAbbb', 'BabbbAAbbA', 'BabbbAAbA', 'BabbbAAbAb', 'BabbbAAbAA', 'BabbbAAbAB', 'BabbbAAA', 'BabbbAAAb', 'BabbbAAAba', 'BabbbAAAbb', 'BabbbAAAbA', 'BabbbAAAA', 'BabbbAAAAb', 'BabbbAAAAA', 'BabbbAAAAB', 'BabbbAAAB', 'BabbbAAABa', 'BabbbAAABA', 'BabbbAAABB', 'BabbbAAB', 'BabbbAABa', 'BabbbAABaa', 'BabbbAABab', 'BabbbAABaB', 'BabbbAABA', 'BabbbAABAb', 'BabbbAABAA', 'BabbbAABAB', 'BabbbAABB', 'BabbbAABBa', 'BabbbAABBA', 'BabbbAABBB', 'BabbbAB', 'BabbbABa', 'BabbbABaa', 'BabbbABaaa', 'BabbbABaab', 'BabbbABaaB', 'BabbbABab', 'BabbbABaba', 'BabbbABabb', 'BabbbABabA', 'BabbbABaB', 'BabbbABaBa', 'BabbbABaBA', 'BabbbABaBB', 'BabbbABA', 'BabbbABAb', 'BabbbABAba', 'BabbbABAbb', 'BabbbABAbA', 'BabbbABAA', 'BabbbABAAb', 'BabbbABAAA', 'BabbbABAAB', 'BabbbABAB', 'BabbbABABa', 'BabbbABABA', 'BabbbABABB', 'BabbbABB', 'BabbbABBa', 'BabbbABBaa', 'BabbbABBab', 'BabbbABBaB', 'BabbbABBA', 'BabbbABBAb', 'BabbbABBAA', 'BabbbABBAB', 'BabbbABBB', 'BabbbABBBa', 'BabbbABBBA', 'BabbbABBBB', 'BabbA', 'BabbAb', 'BabbAba', 'BabbAbaa', 'BabbAbaaa', 'BabbAbaaaa', 'BabbAbaaab', 'BabbAbaaaB', 'BabbAbaab', 'BabbAbaaba', 'BabbAbaabb', 'BabbAbaabA', 'BabbAbaaB', 'BabbAbaaBa', 'BabbAbaaBA', 'BabbAbaaBB', 'BabbAbab', 'BabbAbaba', 'BabbAbabaa', 'BabbAbabab', 'BabbAbabaB', 'BabbAbabb', 'BabbAbabba', 'BabbAbabbb', 'BabbAbabbA', 'BabbAbabA', 'BabbAbabAb', 'BabbAbabAA', 'BabbAbabAB', 'BabbAbaB', 'BabbAbaBa', 'BabbAbaBaa', 'BabbAbaBab', 'BabbAbaBaB', 'BabbAbaBA', 'BabbAbaBAb', 'BabbAbaBAA', 'BabbAbaBAB', 'BabbAbaBB', 'BabbAbaBBa', 'BabbAbaBBA', 'BabbAbaBBB', 'BabbAbb', 'BabbAbba', 'BabbAbbaa', 'BabbAbbaaa', 'BabbAbbaab', 'BabbAbbaaB', 'BabbAbbab', 'BabbAbbaba', 'BabbAbbabb', 'BabbAbbabA', 'BabbAbbaB', 'BabbAbbaBa', 'BabbAbbaBA', 'BabbAbbaBB', 'BabbAbbb', 'BabbAbbba', 'BabbAbbbaa', 'BabbAbbbab', 'BabbAbbbaB', 'BabbAbbbb', 'BabbAbbbba', 'BabbAbbbbb', 'BabbAbbbbA', 'BabbAbbbA', 'BabbAbbbAb', 'BabbAbbbAA', 'BabbAbbbAB', 'BabbAbbA', 'BabbAbbAb', 'BabbAbbAba', 'BabbAbbAbb', 'BabbAbbAbA', 'BabbAbbAA', 'BabbAbbAAb', 'BabbAbbAAA', 'BabbAbbAAB', 'BabbAbbAB', 'BabbAbbABa', 'BabbAbbABA', 'BabbAbbABB', 'BabbAbA', 'BabbAbAb', 'BabbAbAba', 'BabbAbAbaa', 'BabbAbAbab', 'BabbAbAbaB', 'BabbAbAbb', 'BabbAbAbba', 'BabbAbAbbb', 'BabbAbAbbA', 'BabbAbAbA', 'BabbAbAbAb', 'BabbAbAbAA', 'BabbAbAbAB', 'BabbAbAA', 'BabbAbAAb', 'BabbAbAAba', 'BabbAbAAbb', 'BabbAbAAbA', 'BabbAbAAA', 'BabbAbAAAb', 'BabbAbAAAA', 'BabbAbAAAB', 'BabbAbAAB', 'BabbAbAABa', 'BabbAbAABA', 'BabbAbAABB', 'BabbAbAB', 'BabbAbABa', 'BabbAbABaa', 'BabbAbABab', 'BabbAbABaB', 'BabbAbABA', 'BabbAbABAb', 'BabbAbABAA', 'BabbAbABAB', 'BabbAbABB', 'BabbAbABBa', 'BabbAbABBA', 'BabbAbABBB', 'BabbAA', 'BabbAAb', 'BabbAAba', 'BabbAAbaa', 'BabbAAbaaa', 'BabbAAbaab', 'BabbAAbaaB', 'BabbAAbab', 'BabbAAbaba', 'BabbAAbabb', 'BabbAAbabA', 'BabbAAbaB', 'BabbAAbaBa', 'BabbAAbaBA', 'BabbAAbaBB', 'BabbAAbb', 'BabbAAbba', 'BabbAAbbaa', 'BabbAAbbab', 'BabbAAbbaB', 'BabbAAbbb', 'BabbAAbbba', 'BabbAAbbbb', 'BabbAAbbbA', 'BabbAAbbA', 'BabbAAbbAb', 'BabbAAbbAA', 'BabbAAbbAB', 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