(* Created by Wolfram Mathematica 5.2 *) {{"aaaaabbbbbABABABABAB"}, {"aaaababbbbAABABABABB"}, {"aaaabaBABABABBAbbbAb"}, {"aaaabAbbbABBABABABab"}, {"aaaabABABABABabbbbAB"}, {"aaabaabbbAbABABABBAB"}, {"aaabaaBABABBABAbbAbb"}, {"aaabababbbAAABABABBB"}, {"aaababaBABABBBAbbAAb"}, {"aaababAbbAABBABABBab"}, {"aaababABABABBabbbAAB"}, {"aaabaBAbbAbaBABABBAb"}, {"aaabaBBABABBAAbbAbab"}, {"aaabbabbbABAABABABaB"}, {"aaabbaBABABaBAbbABAb"}, {"aaabbAbbABABBABABaab"}, {"aaabbABABABaabbbABAB"}, {"aaabAABABABababbbABB"}, {"aaabABAbbABaBABABabb"}, {"aaabABBABABabAbbABab"}, {"aabaababbAbAABABBABB"}, {"aabaabaBABBABBAbAbAb"}, {"aabaabABABBABabbAbAB"}, {"aabaaBAbAbbaBABBABAb"}, {"aababbaBABBaBAbAABAb"}, {"aababbABABBaabbAABAB"}, {"aababABAbAABaBABBabb"}, {"aabaBabbAbabABABBAAB"}, {"aabaBaBABBAABAbAbabb"}, {"aabaBABAbAbaaBABBAbb"}, {"aabaBBAbAbabaBABBAAb"}, {"aabbaabbABAbABABaBAB"}, {"aabbaBAbABAbaBABaBAb"}, {"aabAbaBABabaBAbABBAb"}, {"aabABabbABabABABabAB"}, {"abABabABabABabABabAB"}, {"aaaaaabababbbbbbabab", "aaaaabbbAbAbAbAbAbbb"}, {"aaaaabaababbbbbabbab", "aaaababbAbAbAbAbbAbb"}, {"aaaaababaabbbbbababb", "aaaabbabAbAbAbAbbbAb"}, {"aaaaababbabbbbbabaab", "aaaabbAbbAbAbAbAbbab"}, {"aaaaabbababbbbbaabab", "aaaabAbbbAbAbAbAbabb"}, {"aaaaabbbABABABABAbbb", "aaaabAbAbABBBBAbAbAb"}, {"aaaabaaababbbbabbbab", "aaabaabbAbAbAbbAbAbb"}, {"aaaabaabaabbbbabbabb", "aaabababAbAbAbbAbbAb"}, {"aaaabaabbabbbbabbaab", "aaababAbbAbAbAbbAbab"}, {"aaaababaaabbbbababbb", "aaababaBBBaaBBababab"}, {"aaaabababAbbbbababaB", "aaaabbbAAbAbAbAbbbaB"}, {"aaaababaBabbbbababAb", "aaabbaBabAbAbAbbbAAb"}, {"aaaababaBAbbbbababAB", "aaaabbaBAbAbAbAbbbAB"}, {"aaaababbaabbbbabaabb", "aaabbAbabAbAbAbbabAb"}, {"aaaababbbabbbbabaaab", "aaabbAbAbbAbAbAbbaab"}, {"aaaababbbABABABAAbbb", "aaabbAbAbABBBAAbAbAb"}, {"aaaababAbabbbbabaBab", "aaabbAAbbAbAbAbbaBab"}, {"aaaababABabbbbabaBAb", "aaabbABabAbAbAbbaBAb"}, {"aaaababABAbbbbabaBAB", "aaaabbABAbAbAbAbbaBB"}, {"aaaabaBababbbbabAbab", "aaabaBabbAbAbAbbAAbb"}, {"aaaabaBaBaBBBBABaBaB", "aaaabaBBBABABABAABBB"}, {"aaaabaBAbabbbbabABab", "aaabaBAbbAbAbAbbABab"}, {"aaaabaBABabbbbabABAb", "aaabaBBabAbAbAbbABAb"}, {"aaaabaBABAbbbbabABAB", "aaaabaBBAbAbAbAbbABB"}, {"aaaabbaababbbbaabbab", "aaabAbabbAbAbAbabAbb"}, {"aaaabbabaabbbbaababb", "aaabAbbabAbAbAbabbAb"}, {"aaaabbabbabbbbaabaab", "aaabAbbAbbAbAbAbabab"}, {"aaaabbabbABABABAbAbb", "aaabAbbAbABBBAbAAbAb"}, {"aaaabbaBBABABABAbABB", "aaaabAbaBaBBBBAbABaB"}, {"aaaabbbababbbbaaabab", "aaabababaBBaaBBBabab"}, {"aaaabbbabABABABAbbAb", "aaabAbAbbABBBAbAbAAb"}, {"aaaabbbaBABABABAbbAB", "aaaabAbAbaBBBBAbAbAB"}, {"aaaabbbAABABABAbbbab", "aaabAbAbAABBBAbAbAbb"}, {"aaaabbAbABABABAbbabb", "aaabAbAAbABBBAbAbbAb"}, {"aaaabbABBABABABAbbaB", "aaaabAbABaBBBBAbAbaB"}, {"aaaabAbababbbbaBabab", "aaabababaBABaaBBBabb"}, {"aaaabAbbABABABAbabbb", "aaabAAbAbABBBAbbAbAb"}, {"aaaabABababbbbaBAbab", "aaabABabbAbAbAbaBAbb"}, {"aaaabABaBaBBBBAbaBaB", "aaaabABBBABABABAbaBB"}, {"aaaabABAbabbbbaBABab", "aaabABAbbAbAbAbaBBab"}, {"aaaabABABabbbbaBABAb", "aaabABBabAbAbAbaBBAb"}, {"aaaabABABAbbbbaBABAB", "aaaabABBAbAbAbAbaBBB"}, {"aaabaaabaabbbabbbabb", "aabaababAbAbbAbAbbAb"}, {"aaabaaabbabbbabbbaab", "aabaabAbbAbAbbAbAbab"}, {"aaabaabaaabbbabbabbb", "aabaababaBBaBaBBabab"}, {"aaabaababAbbbabbabaB", "aaababbAAbAbAbbAbbaB"}, {"aaabaabaBabbbabbabAb", "aabaabbaBBaBaBABabab"}, {"aaabaabaBAbbbabbabAB", "aaababaBAbAbAbbAbbAB"}, {"aaabaabbaabbbabbaabb", "aababAbabAbAbbAbabAb"}, {"aaabaabbbABABAABAbbb", "aababAbAbABBABAbAbAb"}, {"aaabaabAbabbbabbaBab", "aababaabaBABaBBaBabb"}, {"aaabaabABabbbabbaBAb", "aababABabAbAbbAbaBAb"}, {"aaabaabABAbbbabbaBAB", "aaababABAbAbAbbAbaBB"}, {"aaabaaBababbbabbAbab", "aabaaBabbAbAbbAbAAbb"}, {"aaabaaBaBaBBBABBaBaB", "aaabaaBBBABABAABABBB"}, {"aaabaaBAbabbbabbABab", "aabaaBAbbAbAbbAbABab"}, {"aaabaaBABabbbabbABAb", "aabaaBBabAbAbbAbABAb"}, {"aaabaaBABAbbbabbABAB", "aaabaaBBAbAbAbbAbABB"}, {"aaababaabAbbbababbaB", "aaabaBABBBaaBabbabab"}, {"aaababaaBabbbababbAb", "aaababbaBBaaBBABabab"}, {"aaababaaBAbbbababbAB", "aaababABBBaaBBAbabab"}, {"aaabababbaBaaBBBABab", "aaabaBBaBaBBBABaaBaB"}, {"aaabababbbaaaBBBABAB", "aaabbaBaBaBBBAABaBaB"}, {"aaabababbbABABAAAbbb", "aaabababAAbbbababaBB"}, {"aaabababbAbbbababaaB", "aaababbababaaaBBABBB"}, {"aaabababbABaaBBBABAb", "aaabbABaBaBBBAAbaBaB"}, {"aaabababABABaaBBBAbb", "aaabAABaBaBBBAbbaBaB"}, {"aaabababABBaaBBBAbab", "aaabABBaBaBBBAbaaBaB"}, {"aaababaBaabbbababAbb", "aaabbabaBBaaBABBabab"}, {"aaababaBAAbbbababABB", "aaabbaBAAbAbAbbbABaB"}, {"aaababaBABABaaBBabbb", "aaabAAbababbbaBBabab"}, {"aaababaBABBaaBBabbab", "aaabAbbababbbaBaabab"}, {"aaababaBBabbbababAAb", "aaabbbaBBaaBABABabab"}, {"aaababaBBAbbbababAAB", "aaabbaBaBAbAbAbbbAAB"}, {"aaababaBBABaaBBababb", "aaabbAbababbbaaBabab"}, {"aaababbaaabbbabaabbb", "aabaBaBabbaaBabbaBaB"}, {"aaababbabaBaaBBABBab", "aabaaBBaBaBBABBaaBaB"}, {"aaababbabbaaaBBABBAB", "aababaBaBaBBABABaBaB"}, {"aaababbabbABABAAbAbb", "aabaababAAbbabbabaBB"}, {"aaababbabAbbbabaabaB", "aaabbAbbAAbAbAbbabaB"}, {"aaababbabABaaBBABBAb", "aababABaBaBBABAbaBaB"}, {"aaababbaBabbbabaabAb", "aabaBABababaaBabbaBB"}, {"aaababbaBAbbbabaabAB", "aaabbAbaBAbAbAbbabAB"}, {"aaababbaBABaaBBABabb", "aabaBABaBaBBABabaBaB"}, {"aaababbaBBABABAAbABB", "aaabbAbaBaBBBAAbABaB"}, {"aaababbbaabbbabaaabb", "aababaBababaaBBabaBB"}, {"aaababbbabaaaBBABABB", "aabababbAAbbababaaBB"}, {"aaababbbabABABAAbbAb", "aababaabAAbbababbaBB"}, {"aaababbbaBaaBBABABab", "aababaaBBabbababbAAb"}, {"aaababbbaBABABAAbbAB", "aaabbAbAbaBBBAAbAbAB"}, {"aaababbbABaaBBABABAb", "aaabABABAAbbbaBABABB"}, {"aaababbAbabbbabaaBab", "aababaaBBABaBBaababb"}, {"aaababbAbABABAAbbabb", "aababbabAAbbabaabaBB"}, {"aaababbABabbbabaaBAb", "aababABababaaBBAbaBB"}, {"aaababbABAbbbabaaBAB", "aaabbAbABAbAbAbbaaBB"}, {"aaababbABABaaBBABAbb", "aabbAABaBaBBAAbbaBaB"}, {"aaababbABBaaBBABAbab", "aababaaBBAbbababbAAB"}, {"aaababbABBABABAAbbaB", "aaabbAbABaBBBAAbAbaB"}, {"aaababAbaabbbabaBabb", "aabbaBababaaBABabaBB"}, {"aaababAbbabbbabaBaab", "aabaabbAAbAbbAbAbbaB"}, {"aaababAbbABABAAbabbb", "aababaBBaabbababAAbb"}, {"aaababAAbabbbabaBBab", "aaabbababbABABAbAAbb"}, {"aaababAABabbbabaBBAb", "aabbAABabAbAbbaBaBAb"}, {"aaababAABAbbbabaBBAB", "aaabbAABAbAbAbbaBaBB"}, {"aaababABaabbbabaBAbb", "aabbABaabAbAbbaBAbAb"}, {"aaababABAAbbbabaBABB", "aaabbABAAbAbAbbaBBaB"}, {"aaababABABABaaBBAbbb", "aaabAbAbbaBBBAbAbAAB"}, {"aaababABABBaaBBAbbab", "aababaaBAAbbababbABB"}, {"aaababABBabbbabaBAAb", "aabbABaBabAbAbbaBAAb"}, {"aaababABBAbbbabaBAAB", "aaabbABaBAbAbAbbaBAB"}, {"aaababABBABaaBBAbabb", "aabABABaBaBBAbabaBaB"}, {"aaabaBaababbbabAbbab", "aababaabbabaaBBaBABB"}, {"aaabaBaaBaBBBABaBBaB", "aaabaBaBBABABAABBABB"}, {"aaabaBabaabbbabAbabb", "aabaBababAbAbbAAbbAb"}, {"aaabaBabbabbbabAbaab", "aababaabbaBaBBaBABab"}, {"aaabaBabbABABAABBAbb", "aabaBabAbABBABaBAbAb"}, {"aaabaBaBaaBBBABaBaBB", "aaabaBBaBABABAABBBAB"}, {"aaabaBaBBaBBBABaBaaB", "aaabaBBABBABABAABBaB"}, {"aaabaBaBBAbAbAbbAABB", "aaabaBBABAbbbabAABAB"}, {"aaabaBAbaabbbabABabb", "aabaBAbabAbAbbABabAb"}, {"aaabaBAbbabbbabABaab", "aabaabaBAbAbbAbAbbAB"}, {"aaabaBAbbABABAABabbb", "aabaBAbAbABBABabAbAb"}, {"aaabaBAAbabbbabABBab", "aababaabABABaBBaBAbb"}, {"aaabaBAABabbbabABBAb", "aabaBABabAbAbbABaBAb"}, {"aaabaBAABAbbbabABBAB", "aaabaBABAbAbAbbABaBB"}, {"aaabaBABaabbbabABAbb", "aabaBBaabAbAbbABAbAb"}, {"aaabaBABAAbbbabABABB", "aaabaBBAAbAbAbbABBaB"}, {"aaabaBABBabbbabABAAb", "aababABABAABaBBAbbAb"}, {"aaabaBABBAbbbabABAAB", "aaabaBBaBAbAbAbbABAB"}, {"aaabaBABBABaaBabbabb", "aabAbAbababbaBaBabab"}, {"aaabaBBababbbabAAbab", "aaabbAAbABABAbbababb"}, {"aaabaBBabABABAABBBAb", "aabaBaBabABBABaBaBAb"}, {"aaabaBBAbabbbabAABab", "aababaabbABaBBaBABAb"}, {"aaabaBBAbABABAABBabb", "aabaBaBAbABBABaBabAb"}, {"aaabaBBABabbbabAABAb", "aabaBaBBabAbAbbAABAb"}, {"aaabaBBABABaaBababbb", "aabbaBaBaaBBAABaBaBB"}, {"aaabaBBABBaaBababbab", "aabaaBaBaaBBABBaBaBB"}, {"aaabaBBBAABABAABBBab", "aabaBaBaBABBABaBaBab"}, {"aaabbaabaabbbaabbabb", "aabaBBabaBaBababaBab"}, {"aaabbaabbabbbaabbaab", "aababaBabaBaBBabaBab"}, {"aaabbaabbABABAbABAbb", "aabAbabAbABBAbABAbAb"}, {"aaabbaaBBABABAbABABB", "aaabAbaaBaBBBAbABBaB"}, {"aaabbabaaabbbaababbb", "aababaBBabaaBBababaB"}, {"aaabbababaBaaBABBBab", "aaabbababAbbbaababaB"}, {"aaabbababABaaBABBBAb", "aabABaBaBABBAbaBaBab"}, {"aaabbabaBabbbaababAb", "aabbaBBabaaBABababaB"}, {"aaabbabaBAbbbaababAB", "aaabAbbaBAbAbAbabbAB"}, {"aaabbabaBABaaBABBabb", "aabAbababAbbaBababaB"}, {"aaabbabaBBABABAbAABB", "aaabAbbaBaBBBAbAABaB"}, {"aaabbabbaabbbaabaabb", "aabaBababaBaBabaBBab"}, {"aaabbabbabaaaBABBABB", "aabababAbAbbababaBaB"}, {"aaabbabbabABABAbAbAb", "aabaabAAbabbabbaBBab"}, {"aaabbabbaBaaBABBABab", "aababaBaBabbababAbAb"}, {"aaabbabbaBABABAbAbAB", "aaabAbbAbaBBBAbAAbAB"}, {"aaabbabbbaaaBABBABAB", "aabAbAbABABBAbAbAbab"}, {"aaabbabbAABABAbAbbab", "aababbAAbabbabaaBBab"}, {"aaabbabbABaaBABBABAb", "aabABABAbAbbaBABABaB"}, {"aaabbabAbabbbaabaBab", "aababaBaBABaBBabaabb"}, {"aaabbabAbABABAbAbabb", "aabaBBabaabbabAAbabb"}, {"aaabbabABabbbaabaBAb", "aabAbbABabAbAbabaBAb"}, {"aaabbabABAbbbaabaBAB", "aaabAbbABAbAbAbabaBB"}, {"aaabbabABABaaBABBAbb", "aabAbAbabaBBAbAbABAB"}, {"aaabbabABBaaBABBAbab", "aababaBaBAbbababAbAB"}, {"aaabbabABBABABAbAbaB", "aaabAbbABaBBBAbAAbaB"}, {"aaabbaBababbbaabAbab", "aababaBabbaaBBabaBAB"}, {"aaabbaBabABABAbABBAb", "aabAbaBabABBAbABaBAb"}, {"aaabbaBaBABABAbABBAB", "aaabAbaBaaBBBAbABaBB"}, {"aaabbaBAbabbbaabABab", "aababaBabABaBBabaBAb"}, {"aaabbaBAbABABAbABabb", "aabAbaBAbABBAbABabAb"}, {"aaabbaBABabbbaabABAb", "aabAbaBBabAbAbabABAb"}, {"aaabbaBABAbbbaabABAB", "aaabAbaBBAbAbAbabABB"}, {"aaabbaBABABaaBABabbb", "aabAbAbabABBAbAbABAb"}, {"aaabbaBABBaaBABabbab", "aababaBabAbbababAbaB"}, {"aaabbaBABBABABAbABaB", "aaabAbaBBaBBBAbABaaB"}, {"aaabbaBBAABABAbABBab", "aabAbaBaBABBAbABaBab"}, {"aaabbaBBABaaBABababb", "aabaBaBabaBBABaBaBAB"}, {"aaabbbaaBABABAbbABAB", "aaabAbAbaaBBBAbAbABB"}, {"aaabbbaBAABABAbbABab", "aabAbAbaBABBAbAbABab"}, {"aaabbbaBABaaBABABabb", "aabABAbAbABBAbabAbAb"}, {"aaabbbABABaaBABABAbb", "aaabbABABAbbbaaBABAB"}, {"aaabbbABBaaBABABAbab", "aaabAABABAbbbaBBABAB"}, {"aaabbAbabABABAbbabAb", "aabbaBBababbaabAAbab"}, {"aaabbAbaBABABAbbabAB", "aaabAbAAbaBBBAbAbbAB"}, {"aaabbAbAABABAbbabbab", "aabaaBBababbabbAAbab"}, {"aaabbAABBABABAbbabaB", "aaabAbAABaBBBAbAbbaB"}, {"aaabbABababbbaaBAbab", "aababaBBAbaaBBababAB"}, {"aaabbABabABABAbbaBAb", "aabAbABabABBAbAbaBAb"}, {"aaabbABaBABABAbbaBAB", "aaabAbABaaBBBAbAbaBB"}, {"aaabbABAbabbbaaBABab", "aababaBBAABaBBababAb"}, {"aaabbABAbABABAbbaabb", "aabAbABAbABBAbAbabAb"}, {"aaabbABABabbbaaBABAb", "aabbABaaBABAbbaBABAB"}, {"aaabbABABBaaBABAbbab", "aababaBBAAbbababAABB"}, {"aaabbABABBABABAbbaaB", "aaabAbABBaBBBAbAbaaB"}, {"aaabbABBAABABAbbaBab", "aabAbABaBABBAbAbaBab"}, {"aaabbABBABaaBABAbabb", "aabAbABABAbbaBaBABAB"}, {"aaabAbaababbbaBabbab", "aababaBABabaaBBabbaB"}, {"aaabAbabaabbbaBababb", "aabaBaBabAbaaBabbaBB"}, {"aaabAbabbabbbaBabaab", "aabaababaBABaBaBBabb"}, {"aaabAbabbABABAbabAbb", "aababAAbaabbabaBBabb"}, {"aaabAbaBBABABAbabABB", "aaabAAbaBaBBBAbbABaB"}, {"aaabAbbabABABAbabbAb", "aababbaBBabbabaabAAb"}, {"aaabAbbaBABABAbabbAB", "aaabAAbAbaBBBAbbAbAB"}, {"aaabAbAbABABAbabbabb", "aabaabaBBabbabbabAAb"}, {"aaabAbABBABABAbabbaB", "aaabAAbABaBBBAbbAbaB"}, {"aaabAABababbbaBBAbab", "aababaBABAbaaBBabbAB"}, {"aaabAABAbabbbaBBABab", "aababaBABAABaBBabbAb"}, {"aaabAABABabbbaBBABAb", "aabbABaBaBAbAbbaBAAB"}, {"aaabABaababbbaBAbbab", "aababaBAbabaaBBabABB"}, {"aaabABaaBaBBBAbaBBaB", "aaabABaBBABABAbaBABB"}, {"aaabABabaabbbaBAbabb", "aabaBBabABaBababaBAb"}, {"aaabABabbabbbaBAbaab", "aababaBAbaBaBBabABab"}, {"aaabABabbABABAbaBAbb", "aabABabAbABBAbaBAbAb"}, {"aaabABaBaaBBBAbaBaBB", "aaabABBaBABABAbaBBAB"}, {"aaabABaBBaBBBAbaBaaB", "aaabABBABBABABAbaBaB"}, {"aaabABaBBAbAbAbaBABB", "aaabABBABAbbbaBAABAB"}, {"aaabABAbaabbbaBABabb", "aabABAbabAbAbaBBabAb"}, {"aaabABAbbabbbaBABaab", "aabaabABAbAbbAbAbaBB"}, {"aaabABAAbabbbaBABBab", "aababaBAABABaBBabAbb"}, {"aaabABAABabbbaBABBAb", "aabaBAbbABaBabABABAb"}, {"aaabABAABAbbbaBABBAB", "aaabABABAbAbAbaBBaBB"}, {"aaabABABaabbbaBABAbb", "aabbABABAbaaBABAbbAB"}, {"aaabABABBabbbaBABAAb", "aababABABAbaaBBAbbAB"}, {"aaabABABBAbbbaBABAAB", "aaabABBaBAbAbAbaBBAB"}, {"aaabABABBABaaBAbbabb", "aababAbAbaBBABAbAbAB"}, {"aaabABBababbbaBAAbab", "aababaBAbbaaBBabABAB"}, {"aaabABBabABABAbaBBAb", "aabABaBabABBAbaBaBAb"}, {"aaabABBAbabbbaBAABab", "aababaBAbABaBBabABAb"}, {"aaabABBAbABABAbaBabb", "aabABaBAbABBAbaBabAb"}, {"aaabABBABabbbaBAABAb", "aabABaBBabAbAbaBABAb"}, {"aaabABBABBaaBAbabbab", "aababaBAbAbbababABaB"}, {"aabaabaabAbbabbabbaB", "aabaabaBABBaBaBabbab"}, {"aabaabaaBabbabbabbAb", "aabaababbaBaBaBBABab"}, {"aabaabaaBAbbabbabbAB", "aabaababABBaBaBBAbab"}, {"aabaababbabaaBaBBABB", "aabaaBaababbabbAbbab"}, {"aabaababbAbbabbabaaB", "aabaaBaBBABAABABBABB"}, {"aabaababbABaBaBBABAb", "aabaaBBAbabbabbAABab"}, {"aabaababABABaBaBBAbb", "aabaaBAAbabbabbABBab"}, {"aabaabaBaabbabbabAbb", "aabaabbabaBaBaBABBab"}, {"aabaabaBAAbbabbabABB", "aabaabABABBaBaBAbbab"}, {"aabaabaBBAbbabbabAAB", "aabaabbABBaBaBABAbab"}, {"aabaabaBBABaBaBababb", "aabaabbAbabbabbaaBab"}, {"aabaabbabbaaBaBABBAB", "aabaBaBababbabAbAbab"}, {"aabaabbabbABAABAbAbb", "aababAbAbabbabaBaBab"}, {"aabaabbabAbbabbaabaB", "aababbabAbABAAbAbabb"}, {"aabaabbabABaBaBABBAb", "aabaBaBAbabbabAbABab"}, {"aabaabbaBabbabbaabAb", "aabaBabbaBaBabaBABab"}, {"aabaabbaBAbbabbaabAB", "aababAbaBAbAbbAbabAB"}, {"aabaabbaBABaBaBABabb", "aabaBabAbabbabAbaBab"}, {"aabaabbaBBABAABAbABB", "aababAbaBaBBABAbABaB"}, {"aabaabbABabbabbaaBAb", "aabaBBAbaBaBababABab"}, {"aabaabbABAbbabbaaBAB", "aababAbABAbAbbAbaaBB"}, {"aabaabbABABaBaBABAbb", "aabaBBAAbabbabAABBab"}, {"aabaabbABBABAABAbbaB", "aababAbABaBBABAbAbaB"}, {"aabaabAbaabbabbaBabb", "aabaBABabaBaBabbaBab"}, {"aabaabAABabbabbaBBAb", "aabaBABAbaBaBabbABab"}, {"aabaabAABAbbabbaBBAB", "aababAABAbAbbAbaBaBB"}, {"aabaabABaabbabbaBAbb", "aabaBAbabaBaBabABBab"}, {"aabaabABAAbbabbaBABB", "aababbabABBABAAbAbaB"}, {"aabaabABBabbabbaBAAb", "aabaBAbbaBaBabABABab"}, {"aabaabABBAbbabbaBAAB", "aababABaBAbAbbAbaBAB"}, {"aabaabABBABaBaBAbabb", "aabaBAbAbabbabABaBab"}, {"aabaaBabaabbabbAbabb", "aababbaabaBaBBABaBab"}, {"aabaaBabbABAABABBAbb", "aabaBABAbAbbabABABaB"}, {"aabaaBaBBAbAbbAbAABB", "aabaaBBABAbbabbAABAB"}, {"aabaaBAbaabbabbABabb", "aababABabaBaBBAbaBab"}, {"aabaaBAABabbabbABBAb", "aababABAbaBaBBAbABab"}, {"aabaaBAABAbbabbABBAB", "aabaaBABAbAbbAbABaBB"}, {"aabaaBABaabbabbABAbb", "aababAbabaBaBBAABBab"}, {"aabaaBABAAbbabbABABB", "aabaaBBAAbAbbAbABBaB"}, {"aabaaBABBabbabbABAAb", "aababAbbaBaBBAABABab"}, {"aabaaBABBAbbabbABAAB", "aabaaBBaBAbAbbAbABAB"}, {"aabaaBBAbABAABABBabb", "aababABAbAbbabaBABaB"}, {"aabaaBBABabbabbAABAb", "aababbaBABBABAAbABaB"}, {"aababbaabbaaBBABaBAB", "aabaBabaBaBBABaBABaB"}, {"aababbaabbABAAbABAbb", "aabaBababAbbabAbabaB"}, {"aababbaabAbbabaabbaB", "aababbAbabABAAbbabAb"}, {"aababbaabABaBBABaBAb", "aabaBabABaBBABaBAbaB"}, {"aababbaaBabbabaabbAb", "aabaBaBBabaaBabbAbaB"}, {"aababbaaBAbbabaabbAB", "aabaBaBAbbaaBabbABaB"}, {"aababbaaBABaBBABaabb", "aabaBaBABaBBABaBabaB"}, {"aababbaaBBABAAbABABB", "aababbAABAbbabaaBBAB"}, {"aababbaBaabbabaabAbb", "aababAbbabABAAbabbAb"}, {"aababbaBabaaBBABabaB", "aababbAbaabbabaaBabb"}, {"aababbaBabABAAbABBAb", "aabaBABabAbbabABAbaB"}, {"aababbaBaBABAAbABBAB", "aabaBABBAAbbabABAABB"}, {"aababbaBAbaaBBABabAB", "aabaBAbaBaBBABabABaB"}, {"aababbaBAbABAAbABabb", "aabaBAbabAbbabABabaB"}, {"aababbaBAAbbabaabABB", "aababbAbaBABAAbbabAB"}, {"aababbaBAABaBBABabAb", "aabaBAbABaBBABabAbaB"}, {"aababbaBBAbbabaabAAB", "aabaBABAbabaaBabbABB"}, {"aababbAABabbabaaBBAb", "aababbABabaaBBABAbaB"}, {"aababbAABABaBBABAAbb", "aababbABAAbbabaaBABB"}, {"aababbABaabbabaaBAbb", "aababABBabaaBBAbabaB"}, {"aababbABabABAAbbaBAb", "aababABabAbbabaBAbaB"}, {"aababbABaBABAAbbaBAB", "aababABBAAbbabaBAABB"}, {"aababbABAbaaBBABAbAB", "aabbaBABAAbbaabABABB"}, {"aababbABAbABAAbbaabb", "aababAbabAbbabaBabaB"}, {"aababbABAABaBBABAbAb", "aabaBABBaabbabABAAbb"}, {"aababbABBabbabaaBAAb", "aababABABabaaBBAbbaB"}, {"aababbABBAbbabaaBAAB", "aababABAbabaaBBAbABB"}, {"aababAbabbaaBBAABBAB", "aabAbabaBaBBAbABABaB"}, {"aababAbabbABAAbabAbb", "aababAbbaabbabaBaabb"}, {"aababAbabABaBBAABBAb", "aabAbabABaBBAbABAbaB"}, {"aababAbaBabbabaBabAb", "aabbaBABabaaBABabbaB"}, {"aababAbaBAbbabaBabAB", "aabbaBAbabaaBABabABB"}, {"aababAbaBABaBBAABabb", "aabAbaBABaBBAbABabaB"}, {"aababAbbaBABAAbabbAB", "aababABBaabbabaBAAbb"}, {"aababAbABabbabaBaBAb", "aabaBAbabbABAABabAbb"}, {"aababAbABAbbabaBaBAB", "aabaBababbABAABBAAbb"}, {"aababAbABABaBBAABAbb", "aabbABAAbabbaaBABBab"}, {"aababAABaabbabaBBAbb", "aabbABBabaaBABAbabaB"}, {"aababAABBabbabaBBAAb", "aabbABABabaaBABAbbaB"}, {"aababAABBAbbabaBBAAB", "aabbAABaBAbAbbaBaBAB"}, {"aababAABBABaBBAAbabb", "aabAbABABaBBAbAbabaB"}, {"aababABabbaaBBAbaBAB", "aabABabaBaBBAbaBABaB"}, {"aababABabbABAAbaBAbb", "aabABababAbbaBAbabaB"}, {"aababABabABaBBAbaBAb", "aabABabABaBBAbaBAbaB"}, {"aababABaBabbabaBAbAb", "aabaBABBabABAABaBBAb"}, {"aababABaBAbbabaBAbAB", "aabbABaaBAbAbbaBAbAB"}, {"aababABaBABaBBAbaabb", "aabABaBABaBBAbaBabaB"}, {"aababABAbbaaBBAbABAB", "aabbABABBabbaaBABAAb"}, {"aababABAbABaBBAbABAb", "aabbaBABBabbaabABAAb"}, {"aababABBabABAAbaBBAb", "aabABABabAbbaBABAbaB"}, {"aababABBaBABAAbaBBAB", "aabbAABababbaaBBAbab"}, {"aababABBAbaaBBAbabAB", "aabABAbaBaBBAbabABaB"}, {"aababABBAbABAAbaBabb", "aabABAbabAbbaBABabaB"}, {"aababABBAABaBBAbabAb", "aabABAbABaBBAbabAbaB"}, {"aabaBaaBBAbAbbAAbABB", "aabaBaBABAbbabAbABAB"}, {"aabaBababbaaBabaBBAB", "aabaBaBBaaBBABaBaaBB"}, {"aabaBababABaBabaBBAb", "aabbaaBAbabbaabbABab"}, {"aabaBabaBabbabAbabAb", "aabbaabbaBaBABaBABab"}, {"aabaBabaBAbbabAbabAB", "aabaBabaBAbAbbAAbbAB"}, {"aabaBabaBABaBabaBabb", "aabbaabAbabbaabbaBab"}, {"aabaBabbaabbabAbaabb", "aabbaBabaBaBABabaBab"}, {"aabaBabbabABAABBAbAb", "aabAbABAbabbaBaBABab"}, {"aabaBabbaBABAABBAbAB", "aabaBabAbaBBABaBAbAB"}, {"aabaBabbABaBabaBABAb", "aabbaBBAbabbaabAABab"}, {"aabaBabAbABAABBAbabb", "aabaBaBABabbabAbABAb"}, {"aabaBabABabbabAbaBAb", "aabbaBAbaBaBABabABab"}, {"aabaBabABAbbabAbaBAB", "aabaBabABAbAbbAAbaBB"}, {"aabaBabABABaBabaBAbb", "aabbaBAAbabbaabABBab"}, {"aabaBaBAbaBBABaBabAB", "aabaBBAbaBABAABBabAB"}, {"aabaBaBAbAbaaBabbABB", "aabbABBababbaaBAAbab"}, {"aabaBaBAbABAABBABabb", "aabABAbAbabbaBABaBab"}, {"aabaBaBABAbAbbAABaBB", "aabaBBAABAbbabAABBAB"}, {"aabaBAbabbaaBabABBAB", "aabABaBababbaBAbAbab"}, {"aabaBAbabABaBabABBAb", "aabABaBAbabbaBAbABab"}, {"aabaBAbaBabbabABabAb", "aabAbABabABAbabbaBAb"}, {"aabaBAbaBAbbabABabAB", "aabaBAbaBAbAbbABabAB"}, {"aabaBAbaBABaBabABabb", "aabABabAbabbaBAbaBab"}, {"aabaBAbbaabbabABaabb", "aabAbabaBAbAbabAbbAB"}, {"aabaBAbbabABAABabbAb", "aabAbABababbaBaBAbab"}, {"aabaBAbbaBABAABabbAB", "aabaBAbAbaBBABabAbAB"}, {"aabaBAbABabbabABaBAb", "aabABaBabABAbaBABBAb"}, {"aabaBAbABAbbabABaBAB", "aabaBAbABAbAbbABaaBB"}, {"aabaBAbABABaBabABAbb", "aabbABAABabbaaBABBAb"}, {"aabaBAAbaabbabABBabb", "aabAbabbaBABAbabAbAB"}, {"aabaBAABaabbabABBAbb", "aabAbbABaBAbAbabaBAB"}, {"aabaBAABBabbabABBAAb", "aabAbABaBABAbabbaBAB"}, {"aabaBAABBAbbabABBAAB", "aabaBABaBAbAbbABaBAB"}, {"aabaBABabbaaBabbaBAB", "aabAbaBababbaBabAbab"}, {"aabaBABabbABAABaBAbb", "aabABABaBabbaBABAbAb"}, {"aabaBABabABaBabbaBAb", "aabAbaBAbabbaBabABab"}, {"aabaBABaBabbabABAbAb", "aabaBABBAbABAABaBabb"}, {"aabaBABaBAbbabABAbAB", "aabaBBaaBAbAbbABAbAB"}, {"aabaBABaBABaBabbaabb", "aabAbabAbabbaBabaBab"}, {"aabaBABAbbaaBabbABAB", "aabbABABBAbbaaBABAAB"}, {"aabaBABAbABaBabbABAb", "aabbaBABBAbbaabABAAB"}, {"aabaBBAbaabbabAABabb", "aabbABabaBaBABAbaBab"}, {"aabaBBAbabABAABBabAb", "aabAbABABabbaBaBABAb"}, {"aabaBBAbABaBababABAb", "aabbABBAbabbaaBAABab"}, {"aabaBBAABabbabAABBAb", "aabbABAbaBaBABAbABab"}, {"aabbaabbaabbaabbaabb", "abaBabaBabaBabaBabaB"}, {"aabbaabbaabbaabbaBAb", "abaBabaBabaBabaBabAB"}, {"aabbaabbaabbaabABBAb", "abaBabaBabaBabaBAbAB"}, {"aabbaabbaabbaBAbaBAb", "abaBabaBabaBabABabAB"}, {"aabbaabbaabbaBAABBAb", "abaBabaBabaBabABAbAB"}, {"aabbaabbaabABabbaBAb", "abaBabaBabaBAbaBabAB"}, {"aabbaabbaabABabABBAb", "abaBabaBabaBAbaBAbAB"}, {"aabbaabbaabABBAbaBAb", "abaBabaBabaBAbABabAB"}, {"aabbaabbaabABBAABBAb", "abaBabaBabaBAbABAbAB"}, {"aabbaabbaBAbaabbaBAb", "abaBabaBabABabaBabAB"}, {"aabbaabbaBAbaabABBAb", "abaBabaBabABabaBAbAB"}, {"aabbaabbaBAbaBAbaBAb", "abaBabaBabABabABabAB"}, {"aabbaabbaBAbaBAABBAb", "abaBabaBabABabABAbAB"}, {"aabbaabbaBAABabbaBAb", "abaBabaBabABAbaBabAB"}, {"aabbaabbaBAABabABBAb", "abaBabaBabABAbaBAbAB"}, {"aabbaabbaBAABBAbaBAb", "abaBabaBabABAbABabAB"}, {"aabbaabbaBAABBAABBAb", "abaBabaBabABAbABAbAB"}, {"aabbaabbaBABAbABAbAB", "aabAbabAbaBBAbABAbAB"}, {"aabbaabbABaBABaBABAb", "aabABAbABAbbaBABaBAB"}, {"aabbaabABabbaabbaBAb", "abaBabaBAbaBabaBabAB"}, {"aabbaabABabbaabABBAb", "abaBabaBAbaBabaBAbAB"}, {"aabbaabABabbaBAbaBAb", "abaBabaBAbaBabABabAB"}, {"aabbaabABabbaBAABBAb", "abaBabaBAbaBabABAbAB"}, {"aabbaabABabABabbaBAb", "abaBabaBAbaBAbaBabAB"}, {"aabbaabABabABabABBAb", "abaBabaBAbaBAbaBAbAB"}, {"aabbaabABabABBAbaBAb", "abaBabaBAbaBAbABabAB"}, {"aabbaabABabABBAABBAb", "abaBabaBAbaBAbABAbAB"}, {"aabbaabABAbbaabbaBAB", "aabbABAbABaBABAbABAb"}, {"aabbaabABBAbaabbaBAb", "abaBabaBAbABabaBabAB"}, {"aabbaabABBAbaabABBAb", "abaBabaBAbABabaBAbAB"}, {"aabbaabABBAbaBAbaBAb", "abaBabaBAbABabABabAB"}, {"aabbaabABBAbaBAABBAb", "abaBabaBAbABabABAbAB"}, {"aabbaabABBAABabbaBAb", "abaBabaBAbABAbaBabAB"}, {"aabbaabABBAABabABBAb", "abaBabaBAbABAbaBAbAB"}, {"aabbaaBABabbaabbABAb", "aabbaBABaBABAbABaBAB"}, {"aabbaaBABAbbaabbABAB", "aabbABAbbaaBABAbABAB"}, {"aabbaBababABAbABBAAb", "aabAbabABAbbaBabaBAB"}, {"aabbaBabaBABAbABBAAB", "aabAbaBabaBBAbABaBAB"}, {"aabbaBabbaaBABabaBAB", "aabAbabaBabbaBababAb"}, {"aabbaBabABaBABabaBAb", "aabABabaBabbaBAbabAb"}, {"aabbaBAbaabbaBAbaBAb", "abaBabABabaBabABabAB"}, {"aabbaBAbaabbaBAABBAb", "abaBabABabaBabABAbAB"}, {"aabbaBAbaabABabbaBAb", "abaBabABabaBAbaBabAB"}, {"aabbaBAbaabABabABBAb", "abaBabABabaBAbaBAbAB"}, {"aabbaBAbaabABBAbaBAb", "abaBabABabaBAbABabAB"}, {"aabbaBAbabABAbABabAb", "aabAbabABabbaBabaBAb"}, {"aabbaBAbaBAbaabABBAb", "abaBabABabABabaBAbAB"}, {"aabbaBAbaBAbaBAbaBAb", "abaBabABabABabABabAB"}, {"aabbaBAbaBAbaBAABBAb", "abaBabABabABabABAbAB"}, {"aabbaBAbaBAABabbaBAb", "abaBabABabABAbaBabAB"}, {"aabbaBAbaBAABabABBAb", "abaBabABabABAbaBAbAB"}, {"aabbaBAbaBAABBAbaBAb", "abaBabABabABAbABabAB"}, {"aabbaBAbaBABAbABabAB", "aabAbaBAbaBBAbABabAB"}, {"aabbaBAbbaaBABabABAB", "aabAbABAbaBBAbAbabAB"}, {"aabbaBAbABaBABabABAb", "aabABAbABabbaBABaBAb"}, {"aabbaBAABabbaabABBAb", "abaBabABAbaBabaBAbAB"}, {"aabbaBAABabbaBAbaBAb", "abaBabABAbaBabABabAB"}, {"aabbaBAABabbaBAABBAb", "abaBabABAbaBabABAbAB"}, {"aabbaBAABabABabbaBAb", "abaBabABAbaBAbaBabAB"}, {"aabbaBAABabABabABBAb", "abaBabABAbaBAbaBAbAB"}, {"aabbaBAABabABBAbaBAb", "abaBabABAbaBAbABabAB"}, {"aabbaBABabABAbABaBAb", "aabABaBABabbaBAbABAb"}, {"aabbaBABAbaaBABabbAB", "aabABABaBAbbaBABAbAB"}, {"aabbaBBAbaaBABababAB", "aabABaBabaBBAbaBaBAB"}, {"aabbABaabABAbbaBABAb", "aabABAbAbaBBAbabAbAB"}, {"aabbABababABAbbaBAAb", "aabAbabaBAbbaBababAB"}, {"aabbABabaBABAbbaBAAB", "aabAbABabaBBAbAbaBAB"}, {"aabbABabbaaBABAbaBAB", "aabABaBABAbbaBAbABAB"}, {"aabbABabABaBABAbaBAb", "aabABabABAbbaBAbaBAB"}, {"aabbABBAbaaBABAbabAB", "aabAbaBABAbbaBabABAB"}, {"aabAbaBabABAbabABBAb", "aabABAbaBabbaBABabAb"}, {"aabAbaBABabbaBabABAb", "aabABAbabABaBAbABBAb"}, {"aabABababABaBAbaBBAb", "aabABaBAbaBBAbaBabAB"}, {"aabABabaBAbbaBAbabAB", "aabABabaBAbAbaBAbbAB"}, {"aabABabbaBAbaabABBAb", "abaBAbaBabABabaBAbAB"}, {"aabABabbaBAbaBAbaBAb", "abaBAbaBabABabABabAB"}, {"aabABabbaBAABabABBAb", "abaBAbaBabABAbaBAbAB"}, {"aabABabbaBABAbaBAbAB", "aabABabAbaBBAbaBAbAB"}, {"aabABabbABaBAbaBABAb", "aabABAbaBAbbaBABabAB"}, {"aabABabABabbaBAbaBAb", "abaBAbaBAbaBabABabAB"}, {"aabABabABabABabABBAb", "abaBAbaBAbaBAbaBAbAB"}, {"aabABabABabABBAbaBAb", "abaBAbaBAbaBAbABabAB"}, {"aabABabABBAbaabABBAb", "abaBAbaBAbABabaBAbAB"}, {"aaaaaabababababbbbbb", "aaaaabababababaBBBBB", "aaaaabbbbbaBaBaBaBaB"}, {"aaaaaababababbabbbbb", "aaaaabbbbAbbAbAbAbAb", "aaaababbbbaBaBaBaBaB"}, {"aaaaaababababbbabbbb", "aaaaabbbbAbAbbAbAbAb", "aaaabbabbbaBaBaBaBaB"}, {"aaaaaababababbbbabbb", "aaaaabbbbAbAbAbbAbAb", "aaaabbbabbaBaBaBaBaB"}, {"aaaaaababababbbbbabb", "aaaaabbbbAbAbAbAbbAb", "aaaababAbAbAbAbAbbbb"}, {"aaaaaababababbbbbbab", "aaaaabbbbAbAbAbAbAbb", "aaaaabbAbAbAbAbAbbbb"}, {"aaaaaabababbababbbbb", "aaaaabbbAbbbAbAbAbAb", "aaaabAbAbAbAbAbbbabb"}, {"aaaaaabababbabbabbbb", "aaaaabbbAbbAbbAbAbAb", "aaabababbbaBaBaBaBaB"}, {"aaaaaabababbabbbabbb", "aaaaabbbAbbAbAbbAbAb", "aaababbabbaBaBaBaBaB"}, {"aaaaaabababbabbbbabb", "aaaaabbbAbbAbAbAbbAb", "aaababbbabaBaBaBaBaB"}, {"aaaaaabababbabbbbbab", "aaaaabbbAbbAbAbAbAbb", "aaaabbAbAbAbAbAbbbab"}, {"aaaaaabababbbababbbb", "aaaaabbbAbAbbbAbAbAb", "aaabbaabbbaBaBaBaBaB"}, {"aaaaaabababbbabbabbb", "aaaaabbbAbAbbAbbAbAb", "aaabbababbaBaBaBaBaB"}, {"aaaaaabababbbabbbabb", "aaaaabbbAbAbbAbAbbAb", "aaabbabbabaBaBaBaBaB"}, {"aaaaaabababbbabbbbab", "aaaaabbbAbAbbAbAbAbb", "aaabbabbbaaBaBaBaBaB"}, {"aaaaaabababbbbababbb", "aaaaabbbAbAbAbbbAbAb", "aaabbaabAbAbAbAbAbbb"}, {"aaaaaabababbbbabbabb", "aaaaabbbAbAbAbbAbbAb", "aaabababAbAbAbAbAbbb"}, {"aaaaaabababbbbabbbab", "aaaaabbbAbAbAbbAbAbb", "aaabaabbAbAbAbAbAbbb"}, {"aaaaaabababbbbbababb", "aaaaabbbAbAbAbAbbbAb", "aaaabbabAbAbAbAbAbbb"}, {"aaaaaabababbbbbabbab", "aaaaabbbAbAbAbAbbAbb", "aaaababbAbAbAbAbAbbb"}, {"aaaaaababbabababbbbb", "aaaaabbAbbbbAbAbAbAb", "aaaabAbAbAbAbAbbabbb"}, {"aaaaaababbababbabbbb", "aaaaabbAbbbAbbAbAbAb", "aaabAbAbAbAbAbbabbab"}, {"aaaaaababbababbbabbb", "aaaaabbAbbbAbAbbAbAb", "aabaabbabbaBaBaBaBaB"}, {"aaaaaababbababbbbabb", "aaaaabbAbbbAbAbAbbAb", "aaababAbAbAbAbAbbabb"}, {"aaaaaababbababbbbbab", "aaaaabbAbbbAbAbAbAbb", "aaaabbAbAbAbAbAbbabb"}, {"aaaaaababbabbababbbb", "aaaaabbAbbAbbbAbAbAb", "aaabAbAbAbAbAbbababb"}, {"aaaaaababbabbabbabbb", "aaaaabbAbbAbbAbbAbAb", "aababababbaBaBaBaBaB"}, {"aaaaaababbabbabbbabb", "aaaaabbAbbAbbAbAbbAb", "aabababbabaBaBaBaBaB"}, {"aaaaaababbabbabbbbab", "aaaaabbAbbAbbAbAbAbb", "aaabbAbAbAbAbAbbabab"}, {"aaaaaababbabbbababbb", "aaaaabbAbbAbAbbbAbAb", "aababbaabbaBaBaBaBaB"}, {"aaaaaababbabbbabbabb", "aaaaabbAbbAbAbbAbbAb", "aabababAbAbAbAbAbbab"}, {"aaaaaababbabbbabbbab", "aaaaabbAbbAbAbbAbAbb", "aabaabbAbAbAbAbAbbab"}, {"aaaaaababbabbbbababb", "aaaaabbAbbAbAbAbbbAb", "aaabbabAbAbAbAbAbbab"}, {"aaaaaababbabbbbabbab", "aaaaabbAbbAbAbAbbAbb", "aaababbAbAbAbAbAbbab"}, {"aaaaaababbabbbbbabab", "aaaaabbAbbAbAbAbAbbb", "aaaabbbAbAbAbAbAbbab"}, {"aaaaaababbbabababbbb", "aaaaabbAbAbbbbAbAbAb", "aaabbbaBaBaBaBaBaabb"}, {"aaaaaababbbababbabbb", "aaaaabbAbAbbbAbbAbAb", "aababbaBaBaBaBaBaabb"}, {"aaaaaababbbababbbabb", "aaaaabbAbAbbbAbAbbAb", "aababAbAbAbAbAbbaabb"}, {"aaaaaababbbababbbbab", "aaaaabbAbAbbbAbAbAbb", "aaabbAbAbAbAbAbbaabb"}, {"aaaaaababbbabbababbb", "aaaaabbAbAbbAbbbAbAb", "aababbaabAbAbAbAbAbb"}, {"aaaaaababbbabbabbabb", "aaaaabbAbAbbAbbAbbAb", "aababababAbAbAbAbAbb"}, {"aaaaaababbbabbabbbab", "aaaaabbAbAbbAbbAbAbb", "aababaabbAbAbAbAbAbb"}, {"aaaaaababbbabbbababb", "aaaaabbAbAbbAbAbbbAb", "aabaabbabAbAbAbAbAbb"}, {"aaaaaababbbabbbabbab", "aaaaabbAbAbbAbAbbAbb", "aabaababbAbAbAbAbAbb"}, {"aaaaaababbbabbbbabab", "aaaaabbAbAbbAbAbAbbb", "aaabababababaaBBaBBB"}, {"aaaaaababbbbabababbb", "aaaaabbAbAbAbbbbAbAb", "aaabbaBaBaBaBaBaabbb"}, {"aaaaaababbbbababbabb", "aaaaabbAbAbAbbbAbbAb", "aaabbababAbAbAbAbAbb"}, {"aaaaaababbbbababbbab", "aaaaabbAbAbAbbbAbAbb", "aaabbaabbAbAbAbAbAbb"}, {"aaaaaababbbbabbababb", "aaaaabbAbAbAbbAbbbAb", "aaababbabAbAbAbAbAbb"}, {"aaaaaababbbbabbabbab", "aaaaabbAbAbAbbAbbAbb", "aaabababbAbAbAbAbAbb"}, {"aaaaaababbbbabbbabab", "aaaaabbAbAbAbbAbAbbb", "aaabaabbbAbAbAbAbAbb"}, {"aaaaaababbbbbabababb", "aaaaabbAbAbAbAbbbbAb", "aaaabbbabAbAbAbAbAbb"}, {"aaaaaababbbbbababbab", "aaaaabbAbAbAbAbbbAbb", "aaaabbabbAbAbAbAbAbb"}, {"aaaaaababbbbbabbabab", "aaaaabbAbAbAbAbbAbbb", "aaaababbbAbAbAbAbAbb"}, {"aaaaaabbababababbbbb", "aaaaababababaBBBBBab", "aaaabbbbaBaBaBaBaBab"}, {"aaaaaabbabababbabbbb", "aaaaabAbbbbAbbAbAbAb", "aaababbbaBaBaBaBaBab"}, {"aaaaaabbabababbbabbb", "aaaaabAbbbbAbAbbAbAb", "aaabbabbaBaBaBaBaBab"}, {"aaaaaabbabababbbbabb", "aaaaabAbbbbAbAbAbbAb", "aaababAbAbAbAbAbabbb"}, {"aaaaaabbabababbbbbab", "aaaaabAbbbbAbAbAbAbb", "aaaabbAbAbAbAbAbabbb"}, {"aaaaaabbababbababbbb", "aaaaabAbbbAbbbAbAbAb", "aaabAbAbAbAbAbabbabb"}, {"aaaaaabbababbabbabbb", "aaaaabAbbbAbbAbbAbAb", "aabababbaBaBaBaBaBab"}, {"aaaaaabbababbabbbabb", "aaaaabAbbbAbbAbAbbAb", "aababbabaBaBaBaBaBab"}, {"aaaaaabbababbabbbbab", "aaaaabAbbbAbbAbAbAbb", "aaabbAbAbAbAbAbabbab"}, {"aaaaaabbababbbababbb", "aaaaabAbbbAbAbbbAbAb", "aabbaabbaBaBaBaBaBab"}, {"aaaaaabbababbbabbabb", "aaaaabAbbbAbAbbAbbAb", "aabababAbAbAbAbAbabb"}, {"aaaaaabbababbbabbbab", "aaaaabAbbbAbAbbAbAbb", "aabaabbAbAbAbAbAbabb"}, {"aaaaaabbababbbbababb", "aaaaabAbbbAbAbAbbbAb", "aaabbabAbAbAbAbAbabb"}, {"aaaaaabbababbbbabbab", "aaaaabAbbbAbAbAbbAbb", "aaababbAbAbAbAbAbabb"}, {"aaaaaabbababbbbbabab", "aaaaabAbbbAbAbAbAbbb", "aaaabbbAbAbAbAbAbabb"}, {"aaaaaabbabbabababbbb", "aaaaabAbbAbbbbAbAbAb", "aaabbbaBaBaBaBaBabab"}, {"aaaaaabbabbababbabbb", "aaaaabAbbAbbbAbbAbAb", "aababbaBaBaBaBaBabab"}, {"aaaaaabbabbababbbabb", "aaaaabAbbAbbbAbAbbAb", "aababAbAbAbAbAbababb"}, {"aaaaaabbabbababbbbab", "aaaaabAbbAbbbAbAbAbb", "aaabbAbAbAbAbAbababb"}, {"aaaaaabbabbabbababbb", "aaaaabAbbAbbAbbbAbAb", "aabbaBaBaBaBaBababab"}, {"aaaaaabbabbabbabbabb", "aaaaabAbbAbbAbbAbbAb", "abababababaBaBaBaBaB"}, {"aaaaaabbabbabbabbbab", "aaaaabAbbAbbAbbAbAbb", "aabababababaBaBaBaBB"}, {"aaaaaabbabbabbbababb", "aaaaabAbbAbbAbAbbbAb", "aabaBaBaBaBaBabababb"}, {"aaaaaabbabbabbbabbab", "aaaaabAbbAbbAbAbbAbb", "aabababababaBaBaBBaB"}, {"aaaaaabbabbabbbbabab", "aaaaabAbbAbbAbAbAbbb", "aaabababababaBaBaBBB"}, {"aaaaaabbabbbabababbb", "aaaaabAbbAbAbbbbAbAb", "aaabbaBaBaBaBaBababb"}, {"aaaaaabbabbbababbabb", "aaaaabAbbAbAbbbAbbAb", "aababaBaBaBaBaBababb"}, {"aaaaaabbabbbababbbab", "aaaaabAbbAbAbbbAbAbb", "aabababababaBaBBaaBB"}, {"aaaaaabbabbbabbababb", "aaaaabAbbAbAbbAbbbAb", "aababbabAbAbAbAbAbab"}, {"aaaaaabbabbbabbabbab", "aaaaabAbbAbAbbAbbAbb", "aabababababaBaBBaBaB"}, {"aaaaaabbabbbabbbabab", "aaaaabAbbAbAbbAbAbbb", "aaabababababaBaBBaBB"}, {"aaaaaabbabbbbabababb", "aaaaabAbbAbAbAbbbbAb", "aaabaBaBaBaBaBababbb"}, {"aaaaaabbabbbbababbab", "aaaaabAbbAbAbAbbbAbb", "aaabbabbAbAbAbAbAbab"}, {"aaaaaabbabbbbabbabab", "aaaaabAbbAbAbAbbAbbb", "aaabababababaBaBBBaB"}, {"aaaaaabbabbbbbababab", "aaaaabAbbAbAbAbAbbbb", "aaaabababababaBaBBBB"}, {"aaaaaabbbababababbbb", "aaaaabababaBBBBBabab", "aaaabbbaBaBaBaBaBabb"}, {"aaaaaabbbabababbabbb", "aaaaabAbAbbbbAbbAbAb", "aaababbaBaBaBaBaBabb"}, {"aaaaaabbbabababbbabb", "aaaaabAbAbbbbAbAbbAb", "aaabbabaBaBaBaBaBabb"}, {"aaaaaabbbabababbbbab", "aaaaabAbAbbbbAbAbAbb", "aaabbbaaBaBaBaBaBabb"}, {"aaaaaabbbababbababbb", "aaaaabAbAbbbAbbbAbAb", "aabaabbaBaBaBaBaBabb"}, {"aaaaaabbbababbabbabb", "aaaaabAbAbbbAbbAbbAb", "aabababaBaBaBaBaBabb"}, {"aaaaaabbbababbabbbab", "aaaaabAbAbbbAbbAbAbb", "aabababababaBBaaBaBB"}, {"aaaaaabbbababbbababb", "aaaaabAbAbbbAbAbbbAb", "aabaBaBaBaBaBabbaabb"}, {"aaaaaabbbababbbabbab", "aaaaabAbAbbbAbAbbAbb", "aabababababaBBaaBBaB"}, {"aaaaaabbbababbbbabab", "aaaaabAbAbbbAbAbAbbb", "aaabababababaBBaaBBB"}, {"aaaaaabbbabbabababbb", "aaaaabAbAbbAbbbbAbAb", "aaabbaBaBaBaBaBabbab"}, {"aaaaaabbbabbababbabb", "aaaaabAbAbbAbbbAbbAb", "aababaBaBaBaBaBabbab"}, {"aaaaaabbbabbababbbab", "aaaaabAbAbbAbbbAbAbb", "aabababababaBBaBaaBB"}, {"aaaaaabbbabbabbababb", "aaaaabAbAbbAbbAbbbAb", "aabababbabAbAbAbAbAb"}, {"aaaaaabbbabbabbabbab", "aaaaabAbAbbAbbAbbAbb", "aabababababaBBaBaBaB"}, {"aaaaaabbbabbabbbabab", "aaaaabAbAbbAbbAbAbbb", "aaabababababaBBaBaBB"}, {"aaaaaabbbabbbabababb", "aaaaabAbAbbAbAbbbbAb", "aaabaBaBaBaBaBabbabb"}, {"aaaaaabbbabbbababbab", "aaaaabAbAbbAbAbbbAbb", "aabaabbabbAbAbAbAbAb"}, {"aaaaaabbbabbbabbabab", "aaaaabAbAbbAbAbbAbbb", "aaabababababaBBaBBaB"}, {"aaaaaabbbabbbbababab", "aaaaabAbAbbAbAbAbbbb", "aaaabababababaBBaBBB"}, {"aaaaaabbbbababababbb", "aaaaababaBBBBBababab", "aaaabbaBaBaBaBaBabbb"}, {"aaaaaabbbbabababbabb", "aaaaabAbAbAbbbbAbbAb", "aaababaBaBaBaBaBabbb"}, {"aaaaaabbbbabababbbab", "aaaaabAbAbAbbbbAbAbb", "aaabbaaBaBaBaBaBabbb"}, {"aaaaaabbbbababbababb", "aaaaabAbAbAbbbAbbbAb", "aaabbabbabAbAbAbAbAb"}, {"aaaaaabbbbababbabbab", "aaaaabAbAbAbbbAbbAbb", "aaabbababbAbAbAbAbAb"}, {"aaaaaabbbbababbbabab", "aaaaabAbAbAbbbAbAbbb", "aaabababababaBBBaaBB"}, {"aaaaaabbbbabbabababb", "aaaaabAbAbAbbAbbbbAb", "aaababbbabAbAbAbAbAb"}, {"aaaaaabbbbabbababbab", "aaaaabAbAbAbbAbbbAbb", "aaababbabbAbAbAbAbAb"}, {"aaaaaabbbbabbabbabab", "aaaaabAbAbAbbAbbAbbb", "aaabababababaBBBaBaB"}, {"aaaaaabbbbabbbababab", "aaaaabAbAbAbbAbAbbbb", "aaaabababababaBBBaBB"}, {"aaaaaabbbbbababababb", "aaaaabaBBBBBabababab", "aaaabaBaBaBaBaBabbbb"}, {"aaaaaabbbbbabababbab", "aaaaabAbAbAbAbbbbAbb", "aaaabbbabbAbAbAbAbAb"}, {"aaaaaabbbbbababbabab", "aaaaabAbAbAbAbbbAbbb", "aaaabbabbbAbAbAbAbAb"}, {"aaaaaabbbbbabbababab", "aaaaabAbAbAbAbbAbbbb", "aaaabababababaBBBBaB"}, {"aaaaabaabababbabbbbb", "aaaababbbAbbAbAbAbAb", "aaaabAbAbAbAbbAbbbab"}, {"aaaaabaabababbbabbbb", "aaaababbbAbAbbAbAbAb", "aaabbabbbaBaBaBaBaaB"}, {"aaaaabaabababbbbabbb", "aaaababbbAbAbAbbAbAb", "aaabaabAbAbAbAbbAbbb"}, {"aaaaabaabababbbbbabb", "aaaababbbAbAbAbAbbAb", "aaaababAbAbAbAbbAbbb"}, {"aaaaabaababbababbbbb", "aaaababbAbbbAbAbAbAb", "aaaabAbAbAbAbbAbbabb"}, {"aaaaabaababbabbabbbb", "aaaababbAbbAbbAbAbAb", "aaabAbAbAbAbbAbbabab"}, {"aaaaabaababbabbbabbb", "aaaababbAbbAbAbbAbAb", "aabaabAbAbAbAbbAbbab"}, {"aaaaabaababbabbbbabb", "aaaababbAbbAbAbAbbAb", "aaababAbAbAbAbbAbbab"}, {"aaaaabaababbabbbbbab", "aaaababbAbbAbAbAbAbb", "aaaabbAbAbAbAbbAbbab"}, {"aaaaabaababbbababbbb", "aaaababbAbAbbbAbAbAb", "aaabAbAbAbAbbAbbaabb"}, {"aaaaabaababbbabbabbb", "aaaababbAbAbbAbbAbAb", "aabaaBBaBaBBabababab"}, {"aaaaabaababbbabbbabb", "aaaababbAbAbbAbAbbAb", "aabaababAbAbAbAbbAbb"}, {"aaaaabaababbbabbbbab", "aaaababbAbAbbAbAbAbb", "aaabbAbAbAbAbbAbbaab"}, {"aaaaabaababbbbababbb", "aaaababbAbAbAbbbAbAb", "aaabbaabAbAbAbAbbAbb"}, {"aaaaabaababbbbabbabb", "aaaababbAbAbAbbAbbAb", "aaabababAbAbAbAbbAbb"}, {"aaaaabaababbbbabbbab", "aaaababbAbAbAbbAbAbb", "aaabaabbAbAbAbAbbAbb"}, {"aaaaabaababbbbbababb", "aaaababbAbAbAbAbbbAb", "aaaabbabAbAbAbAbbAbb"}, {"aaaaabaabbabababbbbb", "aaaababababaBBBBaBab", "aaaabAbAbAbAbbAbabbb"}, {"aaaaabaabbababbabbbb", "aaaababAbbbAbbAbAbAb", "aaabAbAbAbAbbAbabbab"}, {"aaaaabaabbababbbabbb", "aaaababAbbbAbAbbAbAb", "aabaabAbAbAbAbbAbabb"}, {"aaaaabaabbababbbbabb", "aaaababAbbbAbAbAbbAb", "aaababAbAbAbAbbAbabb"}, {"aaaaabaabbababbbbbab", "aaaababAbbbAbAbAbAbb", "aaaabbAbAbAbAbbAbabb"}, {"aaaaabaabbabbababbbb", "aaaababAbbAbbbAbAbAb", "aaabAbAbAbAbbAbababb"}, {"aaaaabaabbabbabbabbb", "aaaababAbbAbbAbbAbAb", "aabaBaBaBaBBabababab"}, {"aaaaabaabbabbabbbabb", "aaaababAbbAbbAbAbbAb", "aababAbAbAbAbbAbabab"}, {"aaaaabaabbabbabbbbab", "aaaababAbbAbbAbAbAbb", "aaabbAbAbAbAbbAbabab"}, {"aaaaabaabbabbbababbb", "aaaababAbbAbAbbbAbAb", "aabaBaBBaaBBabababab"}, {"aaaaabaabbabbbabbabb", "aaaababAbbAbAbbAbbAb", "aabababAbAbAbAbbAbab"}, {"aaaaabaabbabbbabbbab", "aaaababAbbAbAbbAbAbb", "aabaabbAbAbAbAbbAbab"}, {"aaaaabaabbabbbbababb", "aaaababAbbAbAbAbbbAb", "aaabbabAbAbAbAbbAbab"}, {"aaaaabaabbabbbbabbab", "aaaababAbbAbAbAbbAbb", "aaababbAbAbAbAbbAbab"}, {"aaaaabaabbabbbbbabab", "aaaababAbbAbAbAbAbbb", "aaaabbbAbAbAbAbbAbab"}, {"aaaaabaabbbabababbbb", "aaaabababaBBBBaBabab", "aaabbbaBaBaBaBaaBabb"}, {"aaaaabaabbbababbabbb", "aaaababAbAbbbAbbAbAb", "aababbaBaBaBaBaaBabb"}, {"aaaaabaabbbababbbabb", "aaaababAbAbbbAbAbbAb", "aababAbAbAbAbbAbaabb"}, {"aaaaabaabbbababbbbab", "aaaababAbAbbbAbAbAbb", "aaabbAbAbAbAbbAbaabb"}, {"aaaaabaabbbabbababbb", "aaaababAbAbbAbbbAbAb", "aababbaabAbAbAbAbbAb"}, {"aaaaabaabbbabbabbabb", "aaaababAbAbbAbbAbbAb", "aababababAbAbAbAbbAb"}, {"aaaaabaabbbabbabbbab", "aaaababAbAbbAbbAbAbb", "aababaabbAbAbAbAbbAb"}, {"aaaaabaabbbabbbababb", "aaaababAbAbbAbAbbbAb", "aabaabbabAbAbAbAbbAb"}, {"aaaaabaabbbabbbabbab", "aaaababAbAbbAbAbbAbb", "aabaababbAbAbAbAbbAb"}, {"aaaaabaabbbabbbbabab", "aaaababAbAbbAbAbAbbb", "aaababababaabaBBaBBB"}, {"aaaaabaabbbbabababbb", "aaaababaBBBBaBababab", "aaabbaBaBaBaBaaBabbb"}, {"aaaaabaabbbbababbabb", "aaaababAbAbAbbbAbbAb", "aaabbababAbAbAbAbbAb"}, {"aaaaabaabbbbababbbab", "aaaababAbAbAbbbAbAbb", "aaabbaabbAbAbAbAbbAb"}, {"aaaaabaabbbbabbababb", "aaaababAbAbAbbAbbbAb", "aaababbabAbAbAbAbbAb"}, {"aaaaabaabbbbabbabbab", "aaaababAbAbAbbAbbAbb", "aaabababbAbAbAbAbbAb"}, {"aaaaabaabbbbabbbabab", "aaaababAbAbAbbAbAbbb", "aaabaabbbAbAbAbAbbAb"}, {"aaaaabaabbbbbabababb", "aaaababAbAbAbAbbbbAb", "aaaabbbabAbAbAbAbbAb"}, {"aaaaabaabbbbbababbab", "aaaababAbAbAbAbbbAbb", "aaaabbabbAbAbAbAbbAb"}, {"aaaaababaababbabbbbb", "aaaabbabbAbbAbAbAbAb", "aaaabAbAbAbAbbbAbbab"}, {"aaaaababaababbbabbbb", "aaaabbabbAbAbbAbAbAb", "aaabaaBBaBBBabababab"}, {"aaaaababaababbbbabbb", "aaaabbabbAbAbAbbAbAb", "aaabaabAbAbAbAbbbAbb"}, {"aaaaababaabbababbbbb", "aaaabbabAbbbAbAbAbAb", "aaaabAbAbAbAbbbAbabb"}, {"aaaaababaabbabbabbbb", "aaaabbabAbbAbbAbAbAb", "aaabaBaBaBBBabababab"}, {"aaaaababaabbabbbabbb", "aaaabbabAbbAbAbbAbAb", "aaabaBaBBaBBabababab"}, {"aaaaababaabbabbbbabb", "aaaabbabAbbAbAbAbbAb", "aaababAbAbAbAbbbAbab"}, {"aaaaababaabbabbbbbab", "aaaabbabAbbAbAbAbAbb", "aaaabbAbAbAbAbbbAbab"}, {"aaaaababaabbbababbbb", "aaaabbabAbAbbbAbAbAb", "aaabaBBaaBBBabababab"}, {"aaaaababaabbbabbabbb", "aaaabbabAbAbbAbbAbAb", "aaabaBBaBaBBabababab"}, {"aaaaababaabbbabbbabb", "aaaabbabAbAbbAbAbbAb", "aaabaBBaBBaBabababab"}, {"aaaaababaabbbabbbbab", "aaaabbabAbAbbAbAbAbb", "aaabaBBaBBBaabababab"}, {"aaaaababaabbbbababbb", "aaaabbabAbAbAbbbAbAb", "aaabaBBBaaBBabababab"}, {"aaaaababaabbbbabbabb", "aaaabbabAbAbAbbAbbAb", "aaabababAbAbAbAbbbAb"}, {"aaaaababaabbbbabbbab", "aaaabbabAbAbAbbAbAbb", "aaabaabbAbAbAbAbbbAb"}, {"aaaaabababaabbabbbbb", "aaaabaBaBBBBabababab", "aaaabbbabAbbAbAbAbAb"}, {"aaaaabababaabbbabbbb", "aaaabaBBaBBBabababab", "aaaabbbabAbAbbAbAbAb"}, {"aaaaabababaabbbbabbb", "aaaabaBBBaBBabababab", "aaaabbbabAbAbAbbAbAb"}, {"aaaaabababababbaBBBB", "aaaaabababababbbbbAb", "aaaaabaBABABABABBBBB"}, {"aaaaabababababbbaBBB", "aaaaababaBABABABBBBB", "aaaaabbaBBBBaBaBaBaB"}, {"aaaaabababababbbbaBB", "aaaaabababaBABABBBBB", "aaaaabbbaBBBaBaBaBaB"}, {"aaaaabababababbbbbaB", "aaaaababababaBABBBBB", "aaaaabbbbaBBaBaBaBaB"}, {"aaaaabababababbbbbAB", "aaaaabababababABBBBB", "aaaaabbbbbABaBaBaBaB"}, {"aaaaabababababbbbAbb", "aaaaababababbabaBBBB", "aaaaabbbbAbbaBaBaBaB"}, {"aaaaabababababbbbABB", "aaaaababababABABBBBB", "aaaaabbbbABBaBaBaBaB"}, {"aaaaabababababbbAbbb", "aaaaabababbababaBBBB", "aaaaabbbAbbbaBaBaBaB"}, {"aaaaabababababbbABBB", "aaaaabababABABABBBBB", "aaaaabbbABBBaBaBaBaB"}, {"aaaaabababababbAbbbb", "aaaaababbabababaBBBB", "aaaaabbAbbbbaBaBaBaB"}, {"aaaaabababababbABBBB", "aaaaababABABABABBBBB", "aaaaabbABBBBaBaBaBaB"}, {"aaaaabababababAbbbbb", "aaaaabbababababaBBBB", "aaaaabAbbbbbaBaBaBaB"}, {"aaaaababababaBabbbbb", "aaaaabbaBBBBabababab", "aaaabbbbaBabAbAbAbAb"}, {"aaaaababababaBAbbbbb", "aaaaabAbAbAbAbbbbbAB", "aaaabbbbaBAbAbAbAbAb"}, {"aaaaababababaBBabbbb", "aaaaabbbaBBBabababab", "aaaabbbbaBaBabAbAbAb"}, {"aaaaababababaBBAbbbb", "aaaaabbABBBBabababab", "aaaabbbbaBaBAbAbAbAb"}, {"aaaaababababaBBABBBB", "aaaaabbbbaBaBBaBaBaB", "aaaaabbAbbbbabababab"}, {"aaaaababababaBBBabbb", "aaaaabbbbaBBabababab", "aaaabbbbaBaBaBabAbAb"}, {"aaaaababababaBBBAbbb", "aaaaabbbABBBabababab", "aaaabbbbaBaBaBAbAbAb"}, {"aaaaababababaBBBABBB", "aaaaabbbbaBaBaBBaBaB", "aaaaabbbAbbbabababab"}, {"aaaaababababaBBBBabb", "aaaaabbbbbaBabababab", "aaaabbbbaBaBaBaBabAb"}, {"aaaaababababaBBBBAbb", "aaaaabbbbABBabababab", "aaaabbbbaBaBaBaBAbAb"}, {"aaaaababababaBBBBABB", "aaaaabbbbaBaBaBaBBaB", "aaaaabbbbAbbabababab"}, {"aaaaababababaBBBBBAb", "aaaaabbbbbABabababab", "aaaabbbbaBaBaBaBaBAb"}, {"aaaaababababaBBBBBAB", "aaaaabaBaBaBaBaBBBBB", "aaaaabbbbaBaBaBaBaBB"}, {"aaaaababababbaabbbbb", "aaaabaBababababaBBBB", "aaaabaBabbbbaBaBaBaB"}, {"aaaaababababbabbaBBB", "aaaaabbbbAbbAbaBaBaB", "aaaabababababbbbAbAb"}, {"aaaaababababbabbbaBB", "aaaaabbbbAbbAbAbaBaB", "aaaababbaBBBaBaBaBaB"}, {"aaaaababababbabbbbaB", "aaaaabbbbAbbAbAbAbaB", "aaaababbbaBBaBaBaBaB"}, {"aaaaababababbabbbbAb", "aaaabaababababbaBBBB", "aaaababbbbAbaBaBaBaB"}, {"aaaaababababbabbbbAB", "aaaaabbbbAbbAbAbAbAB", "aaaababbbbABaBaBaBaB"}, {"aaaaababababbabbbAbb", "aaaabaabababbabaBBBB", "aaaababbbAbbaBaBaBaB"}, {"aaaaababababbabbbABB", "aaaaabbbbAbbAbAbABaB", "aaaababbbABBaBaBaBaB"}, {"aaaaababababbabbAbbb", "aaaabaababbababaBBBB", "aaaababbAbbbaBaBaBaB"}, {"aaaaababababbabbABBB", "aaaaabbbbAbbAbABaBaB", "aaaababbABBBaBaBaBaB"}, {"aaaaababababbabAbbbb", "aaaabaabbabababaBBBB", "aaaababAbbbbaBaBaBaB"}, {"aaaaababababbabABBBB", "aaaaabbbbAbbABaBaBaB", "aaaabababababbbbAbAB"}, {"aaaaababababbaBabbbb", "aaaabaBABabababaBBBB", "aaaabaBBabbbaBaBaBaB"}, {"aaaaababababbaBAbbbb", "aaaabaBAbabababaBBBB", "aaaabaBAbbbbaBaBaBaB"}, {"aaaaababababbaBABBBB", "aaaaabbbbAbaBBaBaBaB", "aaaabababababbbbAbaB"}, {"aaaaababababbaBBabbb", "aaaabaBABABababaBBBB", "aaaabaBBBabbaBaBaBaB"}, {"aaaaababababbaBBAbbb", "aaaabaBABAbababaBBBB", "aaaabaBBAbbbaBaBaBaB"}, {"aaaaababababbaBBABBB", "aaaaabbbbAbaBaBBaBaB", "aaaabaBBABBBaBaBaBaB"}, {"aaaaababababbaBBBabb", "aaaabaBABABABabaBBBB", "aaaabaBBBBabaBaBaBaB"}, {"aaaaababababbaBBBAbb", "aaaabaBABABAbabaBBBB", "aaaabaBBBAbbaBaBaBaB"}, {"aaaaababababbaBBBABB", "aaaaabbbbAbaBaBaBBaB", "aaaabaBBBABBaBaBaBaB"}, {"aaaaababababbaBBBBab", "aaaaabbababababbbbAb", "aaaabaBABABABABaBBBB"}, {"aaaaababababbaBBBBAb", "aaaabaBABABABAbaBBBB", "aaaabaBBBBAbaBaBaBaB"}, {"aaaaababababbaBBBBAB", "aaaaabbbbAbaBaBaBaBB", "aaaabaBaBaBaBaBBBBAB"}, {"aaaaababababbbaabbbb", "aaaababaBabababaBBBB", "aaaabbaBabbbaBaBaBaB"}, {"aaaaababababbbabaBBB", "aaaaabbbbAbAbbaBaBaB", "aaaabababababbbbAAbb"}, {"aaaaababababbbabbaBB", "aaaaabbbbAbAbbAbaBaB", "aaaabbabaBBBaBaBaBaB"}, {"aaaaababababbbabbbaB", "aaaaabbbbAbAbbAbAbaB", "aaaabbabbaBBaBaBaBaB"}, {"aaaaababababbbabbbAb", "aaaababaabababbaBBBB", "aaaabbabbbAbaBaBaBaB"}, {"aaaaababababbbabbbAB", "aaaaabbbbAbAbbAbAbAB", "aaaabbabbbABaBaBaBaB"}, {"aaaaababababbbabbAbb", "aaaababaababbabaBBBB", "aaaabbabbAbbaBaBaBaB"}, {"aaaaababababbbabbABB", "aaaaabbbbAbAbbAbABaB", "aaaabbabbABBaBaBaBaB"}, {"aaaaababababbbabAbbb", "aaaababaabbababaBBBB", "aaaabbabAbbbaBaBaBaB"}, {"aaaaababababbbabABBB", "aaaaabbbbAbAbbABaBaB", "aaaabbabABBBaBaBaBaB"}, {"aaaaababababbbaBabbb", "aaaababaBABababaBBBB", "aaaabbaBBabbaBaBaBaB"}, {"aaaaababababbbaBAbbb", "aaaababaBAbababaBBBB", "aaaabbaBAbbbaBaBaBaB"}, {"aaaaababababbbaBABBB", "aaaaabbbbAbAbaBBaBaB", "aaaabbaBABBBaBaBaBaB"}, {"aaaaababababbbaBBabb", "aaaababaBABABabaBBBB", "aaaabbaBBBabaBaBaBaB"}, {"aaaaababababbbaBBAbb", "aaaababaBABAbabaBBBB", "aaaabbaBBAbbaBaBaBaB"}, {"aaaaababababbbaBBABB", "aaaaabbbbAbAbaBaBBaB", "aaaabbaBBABBaBaBaBaB"}, {"aaaaababababbbaBBBab", "aaaababaBABABABaBBBB", "aaaabbababababbbbAAb"}, {"aaaaababababbbaBBBAb", "aaaababaBABABAbaBBBB", "aaaabbaBBBAbaBaBaBaB"}, {"aaaaababababbbaBBBAB", "aaaaabbbbAbAbaBaBaBB", "aaaabbaBBBABaBaBaBaB"}, {"aaaaababababbbbaabbb", "aaaabababaBababaBBBB", "aaaabbbaBabbaBaBaBaB"}, {"aaaaababababbbbabaBB", "aaaaabbbbAbAbAbbaBaB", "aaaabbbaaBBBaBaBaBaB"}, {"aaaaababababbbbabbaB", "aaaaabbbbAbAbAbbAbaB", "aaaabbbabaBBaBaBaBaB"}, {"aaaaababababbbbabbAb", "aaaabababaababbaBBBB", "aaaabbbabbAbaBaBaBaB"}, {"aaaaababababbbbabbAB", "aaaaabbbbAbAbAbbAbAB", "aaaabbbabbABaBaBaBaB"}, {"aaaaababababbbbabAbb", "aaaabababaabbabaBBBB", "aaaabbbabAbbaBaBaBaB"}, {"aaaaababababbbbabABB", "aaaaabbbbAbAbAbbABaB", "aaaabbbabABBaBaBaBaB"}, {"aaaaababababbbbaBabb", "aaaabababaBABabaBBBB", "aaaabbbaBBabaBaBaBaB"}, {"aaaaababababbbbaBAbb", "aaaabababaBAbabaBBBB", "aaaabbbaBAbbaBaBaBaB"}, {"aaaaababababbbbaBABB", "aaaaabbbbAbAbAbaBBaB", "aaaabbbaBABBaBaBaBaB"}, {"aaaaababababbbbaBBab", "aaaabababaBABABaBBBB", "aaaabbbaBBBaaBaBaBaB"}, {"aaaaababababbbbaBBAb", "aaaabababaBABAbaBBBB", "aaaabbbaBBAbaBaBaBaB"}, {"aaaaababababbbbaBBAB", "aaaaabbbbAbAbAbaBaBB", "aaaabbbaBBABaBaBaBaB"}, {"aaaaababababbbbbaabb", "aaaababababaBabaBBBB", "aaaabbbbaBabaBaBaBaB"}, {"aaaaababababbbbbabaB", "aaaaabbbbAbAbAbAbbaB", "aaaabbbbaaBBaBaBaBaB"}, {"aaaaababababbbbbabAb", "aaaababababaabbaBBBB", "aaaabaBabAbAbAbAbbbb"}, {"aaaaababababbbbbabAB", "aaaaabbbbAbAbAbAbbAB", "aaaabaBAbAbAbAbAbbbb"}, {"aaaaababababbbbbaBab", "aaaababababaBABaBBBB", "aaaabbbbaBBaaBaBaBaB"}, {"aaaaababababbbbbaBAb", "aaaababababaBAbaBBBB", "aaaabbbbaBAbaBaBaBaB"}, {"aaaaababababbbbbaBAB", "aaaaabbbbAbAbAbAbaBB", "aaaabbbbaBABaBaBaBaB"}, {"aaaaababababbbbbAbab", "aaaaabaBBABABABABBBB", "aaaabababababbaaBBBB"}, {"aaaaababababbbbbABab", "aaaaabABBABABABABBBB", "aaaabababababABaBBBB"}, {"aaaaababababbbbbABAb", "aaaaabbaBABABABABBBB", "aaaabababababAbaBBBB"}, {"aaaaababababbbbbABAB", "aaaaabbbbAbAbAbAbABB", "aaaaabbABABABABABBBB"}, {"aaaaababababbbbAbabb", "aaaababababbaabaBBBB", "aaaabaBaBABABABABBBB"}, {"aaaaababababbbbAbbab", "aaaabaaBBABABABABBBB", "aaaababababbabaaBBBB"}, {"aaaaababababbbbABabb", "aaaababababABabaBBBB", "aaaabbbbABabaBaBaBaB"}, {"aaaaababababbbbABAbb", "aaaababababAbabaBBBB", "aaaabbaaBABABABABBBB"}, {"aaaaababababbbbABABB", "aaaaabbbbAbAbAbABBaB", "aaaabbbbAABBaBaBaBaB"}, {"aaaaababababbbbABBab", "aaaababababABABaBBBB", "aaaabbbbABBaaBaBaBaB"}, {"aaaaababababbbbABBAb", "aaaababababABAbaBBBB", "aaaabbbbABAbaBaBaBaB"}, {"aaaaababababbbbABBAB", "aaaaabbbbAbAbAbABaBB", "aaaabbbbABABaBaBaBaB"}, {"aaaaababababbbAbabbb", "aaaabababbaababaBBBB", "aaaabbbAbabbaBaBaBaB"}, {"aaaaababababbbAbbabb", "aaaabababbabaabaBBBB", "aaaabbbAbbabaBaBaBaB"}, {"aaaaababababbbAbbbab", "aaaabababbababaaBBBB", "aaaabbbAbbbaaBaBaBaB"}, {"aaaaababababbbABabbb", "aaaabababABababaBBBB", "aaaabbbABabbaBaBaBaB"}, {"aaaaababababbbABAbbb", "aaaabababAbababaBBBB", "aaaabbbAAbbbaBaBaBaB"}, {"aaaaababababbbABABBB", "aaaaabbbbAbAbABBaBaB", "aaaabbbAABBBaBaBaBaB"}, {"aaaaababababbbABBabb", "aaaabababABABabaBBBB", "aaaabbbABBabaBaBaBaB"}, {"aaaaababababbbABBAbb", "aaaabababABAbabaBBBB", "aaaabbbABAbbaBaBaBaB"}, {"aaaaababababbbABBABB", "aaaaabbbbAbAbABaBBaB", "aaaabbbABABBaBaBaBaB"}, {"aaaaababababbbABBBab", "aaaabababABABABaBBBB", "aaaabbbABBBaaBaBaBaB"}, {"aaaaababababbbABBBAb", "aaaabababABABAbaBBBB", "aaaabbbABBAbaBaBaBaB"}, {"aaaaababababbbABBBAB", "aaaaabbbbAbAbABaBaBB", "aaaabbbABBABaBaBaBaB"}, {"aaaaababababbAbabbbb", "aaaababbaabababaBBBB", "aaaabbAbabbbaBaBaBaB"}, {"aaaaababababbAbbabbb", "aaaababbabaababaBBBB", "aaaabbAbbabbaBaBaBaB"}, {"aaaaababababbAbbbabb", "aaaababbababaabaBBBB", "aaaabbAbbbabaBaBaBaB"}, {"aaaaababababbAbbbbab", "aaaababbabababaaBBBB", "aaaabbAbbbbaaBaBaBaB"}, {"aaaaababababbABabbbb", "aaaababABabababaBBBB", "aaaabbABabbbaBaBaBaB"}, {"aaaaababababbABAbbbb", "aaaababAbabababaBBBB", "aaaabbAAbbbbaBaBaBaB"}, {"aaaaababababbABABBBB", "aaaaabbbbAbABBaBaBaB", "aaaabababababbbbAABB"}, {"aaaaababababbABBabbb", "aaaababABABababaBBBB", "aaaabbABBabbaBaBaBaB"}, {"aaaaababababbABBAbbb", "aaaababABAbababaBBBB", "aaaabbABAbbbaBaBaBaB"}, {"aaaaababababbABBABBB", "aaaaabbbbAbABaBBaBaB", "aaaabbABABBBaBaBaBaB"}, {"aaaaababababbABBBabb", "aaaababABABABabaBBBB", "aaaabbABBBabaBaBaBaB"}, {"aaaaababababbABBBAbb", "aaaababABABAbabaBBBB", "aaaabbABBAbbaBaBaBaB"}, {"aaaaababababbABBBABB", "aaaaabbbbAbABaBaBBaB", "aaaabbABBABBaBaBaBaB"}, {"aaaaababababbABBBBab", "aaaababABABABABaBBBB", "aaaabbababababbbbAAB"}, {"aaaaababababbABBBBAb", "aaaababABABABAbaBBBB", "aaaabbABBBAbaBaBaBaB"}, {"aaaaababababbABBBBAB", "aaaaabbbbAbABaBaBaBB", "aaaabbABBBABaBaBaBaB"}, {"aaaaababababAbabbbbb", "aaaabbaababababaBBBB", "aaaabAbabbbbaBaBaBaB"}, {"aaaaababababAbbabbbb", "aaaabbabaabababaBBBB", "aaaabAbbabbbaBaBaBaB"}, {"aaaaababababAbbbabbb", "aaaabbababaababaBBBB", "aaaabAbbbabbaBaBaBaB"}, {"aaaaababababAbbbbabb", "aaaababAbAbAbAbbbbaB", "aaaabbabababaabaBBBB"}, {"aaaaababababAbbbbbab", "aaaaabbAbAbAbAbbbbaB", "aaaabbababababaaBBBB"}, {"aaaaababababABabbbbb", "aaaabbbbABabAbAbAbAb", "aaaabAbAbAbAbbbbaBAb"}, {"aaaaababababABAbbbbb", "aaaaabAbAbAbAbbbbaBB", "aaaabbbbABAbAbAbAbAb"}, {"aaaaababababABBabbbb", "aaaabbbbABaBabAbAbAb", "aaaabABBabbbaBaBaBaB"}, {"aaaaababababABBAbbbb", "aaaabbbbABaBAbAbAbAb", "aaaabAbAbAbAbbbbaBAB"}, {"aaaaababababABBABBBB", "aaaaabbbbABaBBaBaBaB", "aaaabababababbbbABaB"}, {"aaaaababababABBBabbb", "aaaabbbbABaBaBabAbAb", "aaaabABBBabbaBaBaBaB"}, {"aaaaababababABBBAbbb", "aaaabbbbABaBaBAbAbAb", "aaaabABBAbbbaBaBaBaB"}, {"aaaaababababABBBABBB", "aaaaabbbbABaBaBBaBaB", "aaaabABBABBBaBaBaBaB"}, {"aaaaababababABBBBabb", "aaaabbbbABaBaBaBabAb", "aaaabAbababababbbbAB"}, {"aaaaababababABBBBAbb", "aaaabbbbABaBaBaBAbAb", "aaaabABBBAbbaBaBaBaB"}, {"aaaaababababABBBBABB", "aaaaabbbbABaBaBaBBaB", "aaaabABBBABBaBaBaBaB"}, {"aaaaababababABBBBBab", "aaaaabbababababbbbAB", "aaaabbbbABaBaBaBaBab"}, {"aaaaababababABBBBBAb", "aaaabbbbABaBaBaBaBAb", "aaaabABaBaBaBaBBBBAb"}, {"aaaaababababABBBBBAB", "aaaaabbbbABaBaBaBaBB", "aaaabaBaBaBaBaBBBBAb"}, {"aaaaabababaBababbbbb", "aaaabbaaBBBBabababab", "aaaabbbaBabbAbAbAbAb"}, {"aaaaabababaBabbabbbb", "aaaabbaBaBBBabababab", "aaaabbbaBabAbbAbAbAb"}, {"aaaaabababaBabbbabbb", "aaaabbaBBaBBabababab", "aaaabbbaBabAbAbbAbAb"}, {"aaaaabababaBabbbbabb", "aaaabbaBBBaBabababab", "aaaabbbaBabAbAbAbbAb"}, {"aaaaabababaBabbbbbab", "aaaabbaBBBBaabababab", "aaaabbbaBabAbAbAbAbb"}, {"aaaaabababaBAbabbbbb", "aaaabbbaBAbbAbAbAbAb", "aaaabAbAbAbAbbbbABab"}, {"aaaaabababaBAbbabbbb", "aaaabbbaBAbAbbAbAbAb", "aaaabABBaBBBabababab"}, {"aaaaabababaBAbbbabbb", "aaaabbbaBAbAbAbbAbAb", "aaaabABBBaBBabababab"}, {"aaaaabababaBAbbbbabb", "aaaababAbAbAbAbbbbAB", "aaaabbbaBAbAbAbAbbAb"}, {"aaaaabababaBAbbbbbab", "aaaaabbAbAbAbAbbbbAB", "aaaabbbaBAbAbAbAbAbb"}, {"aaaaabababaBABabbbbb", "aaaabbbaBBabAbAbAbAb", "aaaabAbaBBBBabababab"}, {"aaaaabababaBABAbbbbb", "aaaaabAbAbAbAbbbbABB", "aaaabbbaBBAbAbAbAbAb"}, {"aaaaabababaBABBabbbb", "aaaabbbaBBaBabAbAbAb", "aaaabAbbaBBBabababab"}, {"aaaaabababaBABBAbbbb", "aaaabbbaBBaBAbAbAbAb", "aaaabAbAbAbAbbbbABAB"}, {"aaaaabababaBABBABBBB", "aaaaabbbaBBaBBaBaBaB", "aaaabababababbbbaBaB"}, {"aaaaabababaBABBBabbb", "aaaabbbaBBaBaBabAbAb", "aaaabAbbbaBBabababab"}, {"aaaaabababaBABBBAbbb", "aaaabbbaBBaBaBAbAbAb", "aaaabAbbABBBabababab"}, {"aaaaabababaBABBBABBB", "aaaaabbbaBBaBaBBaBaB", "aaaabAbbAbbbabababab"}, {"aaaaabababaBABBBBabb", "aaaabbbaBBaBaBaBabAb", "aaaabAbababababbbbaB"}, {"aaaaabababaBABBBBAbb", "aaaabbbaBBaBaBaBAbAb", "aaaabAbbbABBabababab"}, {"aaaaabababaBABBBBABB", "aaaaabbbaBBaBaBaBBaB", "aaaabAbbbAbbabababab"}, {"aaaaabababaBABBBBBab", "aaaaabbababababbbbaB", "aaaabbbaBBaBaBaBaBab"}, {"aaaaabababaBABBBBBAb", "aaaabbbaBBaBaBaBaBAb", "aaaabAbbbbABabababab"}, {"aaaaabababaBABBBBBAB", "aaaaabbbaBBaBaBaBaBB", "aaaabaBaBaBaBaBBBBab"}, {"aaaaabababaBBababbbb", "aaaabbbaaBBBabababab", "aaaabbbaBaBabbAbAbAb"}, {"aaaaabababaBBabbabbb", "aaaabbbaBaBabAbbAbAb", "aaaabbbaBaBBabababab"}, {"aaaaabababaBBabbbabb", "aaaabbbaBaBabAbAbbAb", "aaaabbbaBBaBabababab"}, {"aaaaabababaBBabbbbab", "aaaabbbaBaBabAbAbAbb", "aaaabbbaBBBaabababab"}, {"aaaaabababaBBAbabbbb", "aaaabbbaBaBAbbAbAbAb", "aaaabbABaBBBabababab"}, {"aaaaabababaBBAbbabbb", "aaaabbbaBaBAbAbbAbAb", "aaaabbABBaBBabababab"}, {"aaaaabababaBBAbbbabb", "aaaabbbaBaBAbAbAbbAb", "aaaabbABBBaBabababab"}, {"aaaaabababaBBAbbbbab", "aaaabbbaBaBAbAbAbAbb", "aaaabbAbAbAbAbbbbAAB"}, {"aaaaabababaBBABabbbb", "aaaabbbaBaBBabAbAbAb", "aaaabbAbaBBBabababab"}, {"aaaaabababaBBABAbbbb", "aaaabbbaBaBBAbAbAbAb", "aaaabbAABBBBabababab"}, {"aaaaabababaBBABABBBB", "aaaaabbbaBaBBBaBaBaB", "aaaabababababbbbaaBB"}, {"aaaaabababaBBABBabbb", "aaaabbbaBaBBaBabAbAb", "aaaabbAbbaBBabababab"}, {"aaaaabababaBBABBAbbb", "aaaabbbaBaBBaBAbAbAb", "aaaabbAbABBBabababab"}, {"aaaaabababaBBABBABBB", "aaaaabbbaBaBBaBBaBaB", "aaaabbAbAbbbabababab"}, {"aaaaabababaBBABBBabb", "aaaabbbaBaBBaBaBabAb", "aaaabbAbbbaBabababab"}, {"aaaaabababaBBABBBAbb", "aaaabbbaBaBBaBaBAbAb", "aaaabbAbbABBabababab"}, {"aaaaabababaBBABBBABB", "aaaaabbbaBaBBaBaBBaB", "aaaabbAbbAbbabababab"}, {"aaaaabababaBBABBBBab", "aaaabbababababbbbaaB", "aaaabbbaBaBBaBaBaBab"}, {"aaaaabababaBBABBBBAb", "aaaabbbaBaBBaBaBaBAb", "aaaabbAbbbABabababab"}, {"aaaaabababaBBABBBBAB", "aaaaabbbaBaBBaBaBaBB", "aaaabbAbbbAbabababab"}, {"aaaaabababaBBBababbb", "aaaabbbaBaBaBabbAbAb", "aaaabbbbaaBBabababab"}, {"aaaaabababaBBBabbabb", "aaaabbbaBaBaBabAbbAb", "aaaabbbbaBaBabababab"}, {"aaaaabababaBBBabbbab", "aaaabbbaBaBaBabAbAbb", "aaaabbbbaBBaabababab"}, {"aaaaabababaBBBAbabbb", "aaaabbbaBaBaBAbbAbAb", "aaaabbbABaBBabababab"}, {"aaaaabababaBBBAbbabb", "aaaabbbaBaBaBAbAbbAb", "aaaabbbABBaBabababab"}, {"aaaaabababaBBBAbbbab", "aaaabbbaBaBaBAbAbAbb", "aaaabbbABBBaabababab"}, {"aaaaabababaBBBABabbb", "aaaabbbaBaBaBBabAbAb", "aaaabbbAbaBBabababab"}, {"aaaaabababaBBBABAbbb", "aaaabbbaBaBaBBAbAbAb", "aaaabbbAABBBabababab"}, {"aaaaabababaBBBABABBB", "aaaaabbbaBaBaBBBaBaB", "aaaabbbAAbbbabababab"}, {"aaaaabababaBBBABBabb", "aaaabbbaBaBaBBaBabAb", "aaaabbbAbbaBabababab"}, {"aaaaabababaBBBABBAbb", "aaaabbbaBaBaBBaBAbAb", "aaaabbbAbABBabababab"}, {"aaaaabababaBBBABBABB", "aaaaabbbaBaBaBBaBBaB", "aaaabbbAbAbbabababab"}, {"aaaaabababaBBBABBBab", "aaaabbbaBaBaBBaBaBab", "aaaabbbAbbbaabababab"}, {"aaaaabababaBBBABBBAb", "aaaabbbaBaBaBBaBaBAb", "aaaabbbAbbABabababab"}, {"aaaaabababaBBBABBBAB", "aaaaabbbaBaBaBBaBaBB", "aaaabbbAbbAbabababab"}, {"aaaaabababaBBBBababb", "aaaaabbAbababababbbb", "aaaabbbaBaBaBaBabbAb"}, {"aaaaabababaBBBBabbab", "aaaaabAbbababababbbb", "aaaabbbaBaBaBaBabAbb"}, {"aaaaabababaBBBBAbabb", "aaaabbbaBaBaBaBAbbAb", "aaaabbbbABaBabababab"}, {"aaaaabababaBBBBAbbab", "aaaabbbaBaBaBaBAbAbb", "aaaabbbbABBaabababab"}, {"aaaaabababaBBBBABabb", "aaaabaBABaBaBaBaBBBB", "aaaabbbaBaBaBaBBabAb"}, {"aaaaabababaBBBBABAbb", "aaaabbbaBaBaBaBBAbAb", "aaaabbbbAABBabababab"}, {"aaaaabababaBBBBABABB", "aaaaabbbaBaBaBaBBBaB", "aaaabbaaBaBaBaBaBBBB"}, {"aaaaabababaBBBBABBab", "aaaabaaBBaBaBaBaBBBB", "aaaabbbaBaBaBaBBaBab"}, {"aaaaabababaBBBBABBAb", "aaaababABaBaBaBaBBBB", "aaaabbbaBaBaBaBBaBAb"}, {"aaaaabababaBBBBABBAB", "aaaaabbbaBaBaBaBBaBB", "aaaababaBaBaBaBaBBBB"}, {"aaaaabababaBBBBBAbab", "aaaaabABBaBaBaBaBBBB", "aaaabbbaBaBaBaBaBAbb"}, {"aaaaabababaBBBBBABab", "aaaaabaBBaBaBaBaBBBB", "aaaabbbaBaBaBaBaBBab"}, {"aaaaabababaBBBBBABAb", "aaaaabbABaBaBaBaBBBB", "aaaabbbaBaBaBaBaBBAb"}, {"aaaaabababaBBBBBABAB", "aaaaabbaBaBaBaBaBBBB", "aaaaabbbaBaBaBaBaBBB"}, {"aaaaabababbaababbbbb", "aaaabbbAbabbAbAbAbAb", "aaaabAbAbAbAbbbabAbb"}, {"aaaaabababbaabbabbbb", "aaaabbbAbabAbbAbAbAb", "aaabaBababbbaBaBaBaB"}, {"aaaaabababbaabbbabbb", "aaaabbbAbabAbAbbAbAb", "aaabaBabbabbaBaBaBaB"}, {"aaaaabababbaabbbbabb", "aaaabbbAbabAbAbAbbAb", "aaababAbAbAbAbbbabAb"}, {"aaaaabababbaabbbbbab", "aaaabbbAbabAbAbAbAbb", "aaaabbAbAbAbAbbbabAb"}, {"aaaaabababbabaabbbbb", "aaaabbbAbbabAbAbAbAb", "aaaabAbAbAbAbbbabbAb"}, {"aaaaabababbababbaBBB", "aaaaabbbAbbbAbaBaBaB", "aaaabababababbbAbbAb"}, {"aaaaabababbababbbaBB", "aaaaabbbAbbbAbAbaBaB", "aaabaabbaBBBaBaBaBaB"}, {"aaaaabababbababbbbaB", "aaaaabbbAbbbAbAbAbaB", "aaabaabbbaBBaBaBaBaB"}, {"aaaaabababbababbbbAb", "aaaabaBABABABABBBaBB", "aaaabbbAbbbAbAbAbAAb"}, {"aaaaabababbababbbbAB", "aaaaabbbAbbbAbAbAbAB", "aaaabABABABABABBBaBB"}, {"aaaaabababbababbbAbb", "aaaabbbAbbbAbAbAAbAb", "aaabaabbbAbbaBaBaBaB"}, {"aaaaabababbababbbABB", "aaaaabbbAbbbAbAbABaB", "aaabaabbbABBaBaBaBaB"}, {"aaaaabababbababbAbbb", "aaaabbbAbbbAbAAbAbAb", "aaabaabbAbbbaBaBaBaB"}, {"aaaaabababbababbABBB", "aaaaabbbAbbbAbABaBaB", "aaabaabbABBBaBaBaBaB"}, {"aaaaabababbababAbbbb", "aaaabbbAbbbAAbAbAbAb", "aaaabAbAbAbAbbbabbaB"}, {"aaaaabababbababABBBB", "aaaaabbbAbbbABaBaBaB", "aaaabababababbbAbbAB"}, {"aaaaabababbabaBabbbb", "aaaabbbAbbaBabAbAbAb", "aaabaaBBabbbaBaBaBaB"}, {"aaaaabababbabaBAbbbb", "aaaabbbAbbaBAbAbAbAb", "aaaabAbAbAbAbbbabbAB"}, {"aaaaabababbabaBABBBB", "aaaaabbbAbbaBBaBaBaB", "aaaabababababbbAbbaB"}, {"aaaaabababbabaBBabbb", "aaaabbbAbbaBaBabAbAb", "aaabaaBBBabbaBaBaBaB"}, {"aaaaabababbabaBBAbbb", "aaaabbbAbbaBaBAbAbAb", "aaabaaBBAbbbaBaBaBaB"}, {"aaaaabababbabaBBABBB", "aaaaabbbAbbaBaBBaBaB", "aaabaaBBABBBaBaBaBaB"}, {"aaaaabababbabaBBBabb", "aaaabbbAbbaBaBaBabAb", "aaaabAbababababbbAbb"}, {"aaaaabababbabaBBBAbb", "aaaabbbAbbaBaBaBAbAb", "aaabaaBBBAbbaBaBaBaB"}, {"aaaaabababbabaBBBABB", "aaaaabbbAbbaBaBaBBaB", "aaabaaBaBaBaBaBBBABB"}, {"aaaaabababbabaBBBBab", "aaaaabbababababbbAbb", "aaaabbbAbbaBaBaBaBab"}, {"aaaaabababbabaBBBBAb", "aaaabbbAbbaBaBaBaBAb", "aaaabABaBaBaBaBBBABB"}, {"aaaaabababbabaBBBBAB", "aaaaabbbAbbaBaBaBaBB", "aaaabaBaBaBaBaBBBABB"}, {"aaaaabababbabbaabbbb", "aaaabbbAbbAbabAbAbAb", "aaababaBabbbaBaBaBaB"}, {"aaaaabababbabbabaBBB", "aaaaabbbAbbAbbaBaBaB", "aaaabababababbbAbAbb"}, {"aaaaabababbabbabbaBB", "aaaaabbbAbbAbbAbaBaB", "aaabababababbbAbAbAb"}, {"aaaaabababbabbabbbaB", "aaaaabbbAbbAbbAbAbaB", "aaabababbaBBaBaBaBaB"}, {"aaaaabababbabbabbbAb", "aaaabbbAbbAbbAbAbAAb", "aaabababbbAbaBaBaBaB"}, {"aaaaabababbabbabbbAB", "aaaaabbbAbbAbbAbAbAB", "aaabababbbABaBaBaBaB"}, {"aaaaabababbabbabbAbb", "aaaabbbAbbAbbAbAAbAb", "aaabababbAbbaBaBaBaB"}, {"aaaaabababbabbabbABB", "aaaaabbbAbbAbbAbABaB", "aaabababbABBaBaBaBaB"}, {"aaaaabababbabbabAbbb", "aaaabbbAbbAbbAAbAbAb", "aaabababAbbbaBaBaBaB"}, {"aaaaabababbabbabABBB", "aaaaabbbAbbAbbABaBaB", "aaabababababbbAbAbAB"}, {"aaaaabababbabbaBabbb", "aaaabbbAbbAbaBabAbAb", "aaababaBBabbaBaBaBaB"}, {"aaaaabababbabbaBAbbb", "aaaabbbAbbAbaBAbAbAb", "aaababaBAbbbaBaBaBaB"}, {"aaaaabababbabbaBABBB", "aaaaabbbAbbAbaBBaBaB", "aaabababababbbAbAbaB"}, {"aaaaabababbabbaBBabb", "aaaabbbAbbAbaBaBabAb", "aaababaBBBabaBaBaBaB"}, {"aaaaabababbabbaBBAbb", "aaaabbbAbbAbaBaBAbAb", "aaababaBBAbbaBaBaBaB"}, {"aaaaabababbabbaBBABB", "aaaaabbbAbbAbaBaBBaB", "aaababaBBABBaBaBaBaB"}, {"aaaaabababbabbaBBBab", "aaaabbababababbbAbAb", "aaaabbbAbbAbaBaBaBab"}, {"aaaaabababbabbaBBBAb", "aaaabbbAbbAbaBaBaBAb", "aaababaBBBAbaBaBaBaB"}, {"aaaaabababbabbaBBBAB", "aaaaabbbAbbAbaBaBaBB", "aaababaBBBABaBaBaBaB"}, {"aaaaabababbabbbaabbb", "aaaabbbAbbAbAbabAbAb", "aaababbaBabbaBaBaBaB"}, {"aaaaabababbabbbabaBB", "aaaaabbbAbbAbAbbaBaB", "aaabababababbbAbAAbb"}, {"aaaaabababbabbbabbaB", "aaaaabbbAbbAbAbbAbaB", "aaababbabaBBaBaBaBaB"}, {"aaaaabababbabbbabbAb", "aaaabbbAbbAbAbbAbAAb", "aaababbabbAbaBaBaBaB"}, {"aaaaabababbabbbabbAB", "aaaaabbbAbbAbAbbAbAB", "aaababbabbABaBaBaBaB"}, {"aaaaabababbabbbabAbb", "aaaabbbAbbAbAbbAAbAb", "aaababbabAbbaBaBaBaB"}, {"aaaaabababbabbbabABB", "aaaaabbbAbbAbAbbABaB", "aaababbabABBaBaBaBaB"}, {"aaaaabababbabbbaBabb", "aaaabbbAbbAbAbaBabAb", "aaababbaBBabaBaBaBaB"}, {"aaaaabababbabbbaBAbb", "aaaabbbAbbAbAbaBAbAb", "aaababbaBAbbaBaBaBaB"}, {"aaaaabababbabbbaBABB", "aaaaabbbAbbAbAbaBBaB", "aaababbaBABBaBaBaBaB"}, {"aaaaabababbabbbaBBab", "aaaabbbAbbAbAbaBaBab", "aaababbaBBBaaBaBaBaB"}, {"aaaaabababbabbbaBBAb", "aaaabbbAbbAbAbaBaBAb", "aaababbaBBAbaBaBaBaB"}, {"aaaaabababbabbbaBBAB", "aaaaabbbAbbAbAbaBaBB", "aaababbaBBABaBaBaBaB"}, {"aaaaabababbabbbbaabb", "aaaabbbAbbAbAbAbabAb", "aaababbbaBabaBaBaBaB"}, {"aaaaabababbabbbbabaB", "aaaaabbbAbbAbAbAbbaB", "aaababbbaaBBaBaBaBaB"}, {"aaaaabababbabbbbabAb", "aaaabbbAbbAbAbAbbAAb", "aaababbbabAbaBaBaBaB"}, {"aaaaabababbabbbbabAB", "aaaaabbbAbbAbAbAbbAB", "aaababbbabABaBaBaBaB"}, {"aaaaabababbabbbbaBab", "aaaabbbAbbAbAbAbaBab", "aaababbbaBBaaBaBaBaB"}, {"aaaaabababbabbbbaBAb", "aaaabbbAbbAbAbAbaBAb", "aaababbbaBAbaBaBaBaB"}, {"aaaaabababbabbbbaBAB", "aaaaabbbAbbAbAbAbaBB", "aaababbbaBABaBaBaBaB"}, {"aaaaabababbabbbbbaab", "aaaabbbAbbAbAbAbAbab", "aaaabAbbAbAbAbAbbbab"}, {"aaaaabababbabbbbAbab", "aaaabaBBABABABABBBaB", "aaaabbbAbbAbAbAbAAbb"}, {"aaaaabababbabbbbABab", "aaaabbbAbbAbAbAbABab", "aaaabABBABABABABBBaB"}, {"aaaaabababbabbbbABAb", "aaaabbaBABABABABBBaB", "aaaabbbAbbAbAbAbABAb"}, {"aaaaabababbabbbbABAB", "aaaaabbbAbbAbAbAbABB", "aaaabbABABABABABBBaB"}, {"aaaaabababbabbbAbabb", "aaaabbbAbbAbAbAAbbAb", "aaababbbAbabaBaBaBaB"}, {"aaaaabababbabbbAbbab", "aaaabbbAbbAbAbAAbAbb", "aaabaaBBABABABABBBaB"}, {"aaaaabababbabbbABabb", "aaaabbbAbbAbAbABabAb", "aaababbbABabaBaBaBaB"}, {"aaaaabababbabbbABAbb", "aaaabbbAbbAbAbABAbAb", "aaababbbAAbbaBaBaBaB"}, {"aaaaabababbabbbABABB", "aaaaabbbAbbAbAbABBaB", "aaababbbAABBaBaBaBaB"}, {"aaaaabababbabbbABBab", "aaaabbbAbbAbAbABaBab", "aaababbbABBaaBaBaBaB"}, {"aaaaabababbabbbABBAb", "aaaabbbAbbAbAbABaBAb", "aaababbbABAbaBaBaBaB"}, {"aaaaabababbabbbABBAB", "aaaaabbbAbbAbAbABaBB", "aaababbbABABaBaBaBaB"}, {"aaaaabababbabbAbabbb", "aaaabbbAbbAbAAbbAbAb", "aaababbAbabbaBaBaBaB"}, {"aaaaabababbabbAbbabb", "aaaabbbAbbAbAAbAbbAb", "aaababbAbbabaBaBaBaB"}, {"aaaaabababbabbAbbbab", "aaaabbbAbbAbAAbAbAbb", "aaababbAbbbaaBaBaBaB"}, {"aaaaabababbabbABabbb", "aaaabbbAbbAbABabAbAb", "aaababbABabbaBaBaBaB"}, {"aaaaabababbabbABAbbb", "aaaabbbAbbAbABAbAbAb", "aaababbAAbbbaBaBaBaB"}, {"aaaaabababbabbABABBB", "aaaaabbbAbbAbABBaBaB", "aaabababababbbAbAABB"}, {"aaaaabababbabbABBabb", "aaaabbbAbbAbABaBabAb", "aaababbABBabaBaBaBaB"}, {"aaaaabababbabbABBAbb", "aaaabbbAbbAbABaBAbAb", "aaababbABAbbaBaBaBaB"}, {"aaaaabababbabbABBABB", "aaaaabbbAbbAbABaBBaB", "aaababbABABBaBaBaBaB"}, {"aaaaabababbabbABBBab", "aaaabbbAbbAbABaBaBab", "aaababbABBBaaBaBaBaB"}, {"aaaaabababbabbABBBAb", "aaaabbbAbbAbABaBaBAb", "aaababbABBAbaBaBaBaB"}, {"aaaaabababbabbABBBAB", "aaaaabbbAbbAbABaBaBB", "aaababbABBABaBaBaBaB"}, {"aaaaabababbabAbabbbb", "aaaabbbAbbAAbbAbAbAb", "aaababAbabbbaBaBaBaB"}, {"aaaaabababbabAbbabbb", "aaaabbbAbbAAbAbbAbAb", "aaababAbbabbaBaBaBaB"}, {"aaaaabababbabAbbbabb", "aaaabbbAbbAAbAbAbbAb", "aaababAbbbabaBaBaBaB"}, {"aaaaabababbabAbbbbab", "aaaabbbAbbAAbAbAbAbb", "aaaabbAbAbAbAbbbabaB"}, {"aaaaabababbabABabbbb", "aaaabbbAbbABabAbAbAb", "aaababABabbbaBaBaBaB"}, {"aaaaabababbabABAbbbb", "aaaabbbAbbABAbAbAbAb", "aaaabAbAbAbAbbbabaBB"}, {"aaaaabababbabABABBBB", "aaaaabbbAbbABBaBaBaB", "aaaabababababbbAbABB"}, {"aaaaabababbabABBabbb", "aaaabbbAbbABaBabAbAb", "aaababABBabbaBaBaBaB"}, {"aaaaabababbabABBAbbb", "aaaabbbAbbABaBAbAbAb", "aaababABAbbbaBaBaBaB"}, {"aaaaabababbabABBABBB", "aaaaabbbAbbABaBBaBaB", "aaabababababbbAbABaB"}, {"aaaaabababbabABBBabb", "aaaabbbAbbABaBaBabAb", "aaababABBBabaBaBaBaB"}, {"aaaaabababbabABBBAbb", "aaaabbbAbbABaBaBAbAb", "aaababABBAbbaBaBaBaB"}, {"aaaaabababbabABBBABB", "aaaaabbbAbbABaBaBBaB", "aaababABBABBaBaBaBaB"}, {"aaaaabababbabABBBBab", "aaaabbababababbbAbAB", "aaaabbbAbbABaBaBaBab"}, {"aaaaabababbabABBBBAb", "aaaabbbAbbABaBaBaBAb", "aaababABBBAbaBaBaBaB"}, {"aaaaabababbabABBBBAB", "aaaaabbbAbbABaBaBaBB", "aaababABBBABaBaBaBaB"}, {"aaaaabababbaBababbbb", "aaaabbbAbaBabbAbAbAb", "aaabaBBaabbbaBaBaBaB"}, {"aaaaabababbaBabbabbb", "aaaabbbAbaBabAbbAbAb", "aaabaBBababbaBaBaBaB"}, {"aaaaabababbaBabbbabb", "aaaabbbAbaBabAbAbbAb", "aaabaBBabbabaBaBaBaB"}, {"aaaaabababbaBabbbbab", "aaaabbbAbaBabAbAbAbb", "aaabaBBabbbaaBaBaBaB"}, {"aaaaabababbaBAbabbbb", "aaaabbbAbaBAbbAbAbAb", "aaabaBAbabbbaBaBaBaB"}, {"aaaaabababbaBAbbabbb", "aaaabbbAbaBAbAbbAbAb", "aaabaBAbbabbaBaBaBaB"}, {"aaaaabababbaBAbbbabb", "aaaabbbAbaBAbAbAbbAb", "aaababAbAbAbAbbbabAB"}, {"aaaaabababbaBAbbbbab", "aaaabbbAbaBAbAbAbAbb", "aaaabbAbAbAbAbbbabAB"}, {"aaaaabababbaBABabbbb", "aaaabbbAbaBBabAbAbAb", "aaabaBABabbbaBaBaBaB"}, {"aaaaabababbaBABAbbbb", "aaaabbbAbaBBAbAbAbAb", "aaaabAbAbAbAbbbabABB"}, {"aaaaabababbaBABABBBB", "aaaaabbbAbaBBBaBaBaB", "aaaabababababbbAbaBB"}, {"aaaaabababbaBABBabbb", "aaaabbbAbaBBaBabAbAb", "aaabaBABBabbaBaBaBaB"}, {"aaaaabababbaBABBAbbb", "aaaabbbAbaBBaBAbAbAb", "aaabaBABAbbbaBaBaBaB"}, {"aaaaabababbaBABBABBB", "aaaaabbbAbaBBaBBaBaB", "aaabababababbbAbaBaB"}, {"aaaaabababbaBABBBabb", "aaaabbbAbaBBaBaBabAb", "aaabaBABBBabaBaBaBaB"}, {"aaaaabababbaBABBBAbb", "aaaabbbAbaBBaBaBAbAb", "aaabaBABBAbbaBaBaBaB"}, {"aaaaabababbaBABBBABB", "aaaaabbbAbaBBaBaBBaB", "aaabaBABBABBaBaBaBaB"}, {"aaaaabababbaBABBBBab", "aaaabbababababbbAbaB", "aaaabbbAbaBBaBaBaBab"}, {"aaaaabababbaBABBBBAb", "aaaabbbAbaBBaBaBaBAb", "aaabaBABBBAbaBaBaBaB"}, {"aaaaabababbaBABBBBAB", "aaaaabbbAbaBBaBaBaBB", "aaabaBaBaBaBaBBBABab"}, {"aaaaabababbaBBababbb", "aaaabbbAbaBaBabbAbAb", "aaabaBBBaabbaBaBaBaB"}, {"aaaaabababbaBBabbabb", "aaaabbbAbaBaBabAbbAb", "aaabaBBBababaBaBaBaB"}, {"aaaaabababbaBBabbbab", "aaaabbbAbaBaBabAbAbb", "aaabaBBBabbaaBaBaBaB"}, {"aaaaabababbaBBAbabbb", "aaaabbbAbaBaBAbbAbAb", "aaabaBBAbabbaBaBaBaB"}, {"aaaaabababbaBBAbbabb", "aaaabbbAbaBaBAbAbbAb", "aaabaBBAbbabaBaBaBaB"}, {"aaaaabababbaBBAbbbab", "aaaabbbAbaBaBAbAbAbb", "aaabaBBAbbbaaBaBaBaB"}, {"aaaaabababbaBBABabbb", "aaaabbbAbaBaBBabAbAb", "aaabaBBABabbaBaBaBaB"}, {"aaaaabababbaBBABAbbb", "aaaabbbAbaBaBBAbAbAb", "aaabaBBAAbbbaBaBaBaB"}, {"aaaaabababbaBBABABBB", "aaaaabbbAbaBaBBBaBaB", "aaabababababbbAbaaBB"}, {"aaaaabababbaBBABBabb", "aaaabbbAbaBaBBaBabAb", "aaabaBBABBabaBaBaBaB"}, {"aaaaabababbaBBABBAbb", "aaaabbbAbaBaBBaBAbAb", "aaabaBBABAbbaBaBaBaB"}, {"aaaaabababbaBBABBABB", "aaaaabbbAbaBaBBaBBaB", "aaabaBBABABBaBaBaBaB"}, {"aaaaabababbaBBABBBab", "aaaabbbAbaBaBBaBaBab", "aaabaBBABBBaaBaBaBaB"}, {"aaaaabababbaBBABBBAb", "aaaabbbAbaBaBBaBaBAb", "aaabaBBABBAbaBaBaBaB"}, {"aaaaabababbaBBABBBAB", "aaaaabbbAbaBaBBaBaBB", "aaabaBBABBABaBaBaBaB"}, {"aaaaabababbaBBBababb", "aaaabbbAbaBaBaBabbAb", "aaaabbAbababababbbAb"}, {"aaaaabababbaBBBabbab", "aaaabbbAbaBaBaBabAbb", "aaaabAbbababababbbAb"}, {"aaaaabababbaBBBAbabb", "aaaabbbAbaBaBaBAbbAb", "aaabaBBBAbabaBaBaBaB"}, {"aaaaabababbaBBBAbbab", "aaaabbbAbaBaBaBAbAbb", "aaabaBBBAbbaaBaBaBaB"}, {"aaaaabababbaBBBABabb", "aaaabbbAbaBaBaBBabAb", "aaabaBABaBaBaBaBBBAB"}, {"aaaaabababbaBBBABAbb", "aaaabbbAbaBaBaBBAbAb", "aaabaBBBAAbbaBaBaBaB"}, {"aaaaabababbaBBBABABB", "aaaaabbbAbaBaBaBBBaB", "aaabaBBBAABBaBaBaBaB"}, {"aaaaabababbaBBBABBab", "aaaabbbAbaBaBaBBaBab", "aaabaaBBaBaBaBaBBBAB"}, {"aaaaabababbaBBBABBAb", "aaaabbbAbaBaBaBBaBAb", "aaababABaBaBaBaBBBAB"}, {"aaaaabababbaBBBABBAB", "aaaaabbbAbaBaBaBBaBB", "aaababaBaBaBaBaBBBAB"}, {"aaaaabababbaBBBBabab", "aaaaabbbababababbbAb", "aaaabbbAbaBaBaBaBabb"}, {"aaaaabababbaBBBBAbab", "aaaabbbAbaBaBaBaBAbb", "aaaabABBaBaBaBaBBBAB"}, {"aaaaabababbaBBBBABab", "aaaabaBBaBaBaBaBBBAB", "aaaabbbAbaBaBaBaBBab"}, {"aaaaabababbaBBBBABAb", "aaaabbbAbaBaBaBaBBAb", "aaaabbABaBaBaBaBBBAB"}, {"aaaaabababbaBBBBABAB", "aaaaabbbAbaBaBaBaBBB", "aaaabbaBaBaBaBaBBBAB"}, {"aaaaabababbbaababbbb", "aaaabbbAbAbabbAbAbAb", "aaabbaBaabbbaBaBaBaB"}, {"aaaaabababbbaabbabbb", "aaaabbbAbAbabAbbAbAb", "aaabbaBababbaBaBaBaB"}, {"aaaaabababbbaabbbabb", "aaaabbbAbAbabAbAbbAb", "aaabbaBabbabaBaBaBaB"}, {"aaaaabababbbaabbbbab", "aaaabbbAbAbabAbAbAbb", "aaabbaBabbbaaBaBaBaB"}, {"aaaaabababbbabaabbbb", "aaaabbbAbAbbabAbAbAb", "aaabbaaBabbbaBaBaBaB"}, {"aaaaabababbbababaBBB", "aaaaabbbAbAbbbaBaBaB", "aaaabababababbbAAbbb"}, {"aaaaabababbbababbaBB", "aaaaabbbAbAbbbAbaBaB", "aaabababababbbAAbbAb"}, {"aaaaabababbbababbbaB", "aaaaabbbAbAbbbAbAbaB", "aaabbaabbaBBaBaBaBaB"}, {"aaaaabababbbababbbAb", "aaaabbbAbAbbbAbAbAAb", "aaabaBABABABABBBaaBB"}, {"aaaaabababbbababbbAB", "aaaaabbbAbAbbbAbAbAB", "aaabbaabbbABaBaBaBaB"}, {"aaaaabababbbababbAbb", "aaaabbbAbAbbbAbAAbAb", "aaabbaabbAbbaBaBaBaB"}, {"aaaaabababbbababbABB", "aaaaabbbAbAbbbAbABaB", "aaabbaabbABBaBaBaBaB"}, {"aaaaabababbbababAbbb", "aaaabbbAbAbbbAAbAbAb", "aaabbaabAbbbaBaBaBaB"}, {"aaaaabababbbababABBB", "aaaaabbbAbAbbbABaBaB", "aaabababababbbAAbbAB"}, {"aaaaabababbbabaBabbb", "aaaabbbAbAbbaBabAbAb", "aaabbaaBBabbaBaBaBaB"}, {"aaaaabababbbabaBAbbb", "aaaabbbAbAbbaBAbAbAb", "aaabbaaBAbbbaBaBaBaB"}, {"aaaaabababbbabaBABBB", "aaaaabbbAbAbbaBBaBaB", "aaabababababbbAAbbaB"}, {"aaaaabababbbabaBBabb", "aaaabbbAbAbbaBaBabAb", "aaabbaaBBBabaBaBaBaB"}, {"aaaaabababbbabaBBAbb", "aaaabbbAbAbbaBaBAbAb", "aaabbaaBBAbbaBaBaBaB"}, {"aaaaabababbbabaBBABB", "aaaaabbbAbAbbaBaBBaB", "aaabbaaBBABBaBaBaBaB"}, {"aaaaabababbbabaBBBab", "aaaabbababababbbAAbb", "aaaabbbAbAbbaBaBaBab"}, {"aaaaabababbbabaBBBAb", "aaaabbbAbAbbaBaBaBAb", "aaabbaaBBBAbaBaBaBaB"}, {"aaaaabababbbabaBBBAB", "aaaaabbbAbAbbaBaBaBB", "aaabaBaBaBaBaBBBAABB"}, {"aaaaabababbbabbaabbb", "aaaabbbAbAbbAbabAbAb", "aaabbabaBabbaBaBaBaB"}, {"aaaaabababbbabbabaBB", "aaaaabbbAbAbbAbbaBaB", "aaabababababbbAAbAbb"}, {"aaaaabababbbabbabbaB", "aaaaabbbAbAbbAbbAbaB", "aaabbababaBBaBaBaBaB"}, {"aaaaabababbbabbabbAb", "aaaabbbAbAbbAbbAbAAb", "aaabbababbAbaBaBaBaB"}, {"aaaaabababbbabbabbAB", "aaaaabbbAbAbbAbbAbAB", "aaabbababbABaBaBaBaB"}, {"aaaaabababbbabbabAbb", "aaaabbbAbAbbAbbAAbAb", "aaabbababAbbaBaBaBaB"}, {"aaaaabababbbabbabABB", "aaaaabbbAbAbbAbbABaB", "aaabbababABBaBaBaBaB"}, {"aaaaabababbbabbaBabb", "aaaabbbAbAbbAbaBabAb", "aaabbabaBBabaBaBaBaB"}, {"aaaaabababbbabbaBAbb", "aaaabbbAbAbbAbaBAbAb", "aaabbabaBAbbaBaBaBaB"}, {"aaaaabababbbabbaBABB", "aaaaabbbAbAbbAbaBBaB", "aaabbabaBABBaBaBaBaB"}, {"aaaaabababbbabbaBBab", "aaaabbbAbAbbAbaBaBab", "aaabbababababbbAAbAb"}, {"aaaaabababbbabbaBBAb", "aaaabbbAbAbbAbaBaBAb", "aaabbabaBBAbaBaBaBaB"}, {"aaaaabababbbabbaBBAB", "aaaaabbbAbAbbAbaBaBB", "aaabbabaBBABaBaBaBaB"}, {"aaaaabababbbabbbaabb", "aaaabbbAbAbbAbAbabAb", "aaabbabbaBabaBaBaBaB"}, {"aaaaabababbbabbbabaB", "aaaaabbbAbAbbAbAbbaB", "aaabbabbaaBBaBaBaBaB"}, {"aaaaabababbbabbbabAb", "aaaabbbAbAbbAbAbbAAb", "aaabbabbabAbaBaBaBaB"}, {"aaaaabababbbabbbabAB", "aaaaabbbAbAbbAbAbbAB", "aaabbabbabABaBaBaBaB"}, {"aaaaabababbbabbbaBab", "aaaabbbAbAbbAbAbaBab", "aaabbabbaBBaaBaBaBaB"}, {"aaaaabababbbabbbaBAb", "aaaabbbAbAbbAbAbaBAb", "aaabbabbaBAbaBaBaBaB"}, {"aaaaabababbbabbbaBAB", "aaaaabbbAbAbbAbAbaBB", "aaabbabbaBABaBaBaBaB"}, {"aaaaabababbbabbbbaab", "aaaabbbAbAbbAbAbAbab", "aaabbabbbaBaaBaBaBaB"}, {"aaaaabababbbabbbAbab", "aaaabbbAbAbbAbAbAAbb", "aaabaBBABABABABBBaaB"}, {"aaaaabababbbabbbABab", "aaaabbbAbAbbAbAbABab", "aaabbabbbABaaBaBaBaB"}, {"aaaaabababbbabbbABAb", "aaaabbbAbAbbAbAbABAb", "aaabbabbbAAbaBaBaBaB"}, {"aaaaabababbbabbbABAB", "aaaaabbbAbAbbAbAbABB", "aaabbabbbAABaBaBaBaB"}, {"aaaaabababbbabbAbabb", "aaaabbbAbAbbAbAAbbAb", "aaabbabbAbabaBaBaBaB"}, {"aaaaabababbbabbAbbab", "aaaabbbAbAbbAbAAbAbb", "aaabbabbAbbaaBaBaBaB"}, {"aaaaabababbbabbABabb", "aaaabbbAbAbbAbABabAb", "aaabbabbABabaBaBaBaB"}, {"aaaaabababbbabbABAbb", "aaaabbbAbAbbAbABAbAb", "aaabbabbAAbbaBaBaBaB"}, {"aaaaabababbbabbABABB", "aaaaabbbAbAbbAbABBaB", "aaabbabbAABBaBaBaBaB"}, {"aaaaabababbbabbABBab", "aaaabbbAbAbbAbABaBab", "aaabbabbABBaaBaBaBaB"}, {"aaaaabababbbabbABBAb", "aaaabbbAbAbbAbABaBAb", "aaabbabbABAbaBaBaBaB"}, {"aaaaabababbbabbABBAB", "aaaaabbbAbAbbAbABaBB", "aaabbabbABABaBaBaBaB"}, {"aaaaabababbbabAbabbb", "aaaabbbAbAbbAAbbAbAb", "aaabbabAbabbaBaBaBaB"}, {"aaaaabababbbabAbbabb", "aaaabbbAbAbbAAbAbbAb", "aaabbabAbbabaBaBaBaB"}, {"aaaaabababbbabAbbbab", "aaaabbbAbAbbAAbAbAbb", "aaabbabAbbbaaBaBaBaB"}, {"aaaaabababbbabABabbb", "aaaabbbAbAbbABabAbAb", "aaabbabABabbaBaBaBaB"}, {"aaaaabababbbabABAbbb", "aaaabbbAbAbbABAbAbAb", "aaabbabAAbbbaBaBaBaB"}, {"aaaaabababbbabABABBB", "aaaaabbbAbAbbABBaBaB", "aaabababababbbAAbABB"}, {"aaaaabababbbabABBabb", "aaaabbbAbAbbABaBabAb", "aaabbabABBabaBaBaBaB"}, {"aaaaabababbbabABBAbb", "aaaabbbAbAbbABaBAbAb", "aaabbabABAbbaBaBaBaB"}, {"aaaaabababbbabABBABB", "aaaaabbbAbAbbABaBBaB", "aaabbabABABBaBaBaBaB"}, {"aaaaabababbbabABBBab", "aaaabbbAbAbbABaBaBab", "aaabbababababbbAAbAB"}, {"aaaaabababbbabABBBAb", "aaaabbbAbAbbABaBaBAb", "aaabbabABBAbaBaBaBaB"}, {"aaaaabababbbabABBBAB", "aaaaabbbAbAbbABaBaBB", "aaabbabABBABaBaBaBaB"}, {"aaaaabababbbaBababbb", "aaaabbbAbAbaBabbAbAb", "aaabbaBBaabbaBaBaBaB"}, {"aaaaabababbbaBabbabb", "aaaabbbAbAbaBabAbbAb", "aaabbaBBababaBaBaBaB"}, {"aaaaabababbbaBabbbab", "aaaabbbAbAbaBabAbAbb", "aaabbaBBabbaaBaBaBaB"}, {"aaaaabababbbaBAbabbb", "aaaabbbAbAbaBAbbAbAb", "aaabbaBAbabbaBaBaBaB"}, {"aaaaabababbbaBAbbabb", "aaaabbbAbAbaBAbAbbAb", "aaabbaBAbbabaBaBaBaB"}, {"aaaaabababbbaBAbbbab", "aaaabbbAbAbaBAbAbAbb", "aaabbaBAbbbaaBaBaBaB"}, {"aaaaabababbbaBABabbb", "aaaabbbAbAbaBBabAbAb", "aaabbaBABabbaBaBaBaB"}, {"aaaaabababbbaBABAbbb", "aaaabbbAbAbaBBAbAbAb", "aaabbaBAAbbbaBaBaBaB"}, {"aaaaabababbbaBABABBB", "aaaaabbbAbAbaBBBaBaB", "aaabababababbbAAbaBB"}, {"aaaaabababbbaBABBabb", "aaaabbbAbAbaBBaBabAb", "aaabbaBABBabaBaBaBaB"}, {"aaaaabababbbaBABBAbb", "aaaabbbAbAbaBBaBAbAb", "aaabbaBABAbbaBaBaBaB"}, {"aaaaabababbbaBABBABB", "aaaaabbbAbAbaBBaBBaB", "aaabbaBABABBaBaBaBaB"}, {"aaaaabababbbaBABBBab", "aaaabbbAbAbaBBaBaBab", "aaabbababababbbAAbaB"}, {"aaaaabababbbaBABBBAb", "aaaabbbAbAbaBBaBaBAb", "aaabbaBABBAbaBaBaBaB"}, {"aaaaabababbbaBABBBAB", "aaaaabbbAbAbaBBaBaBB", "aaabbaBABBABaBaBaBaB"}, {"aaaaabababbbaBBababb", "aaaabbbAbAbaBaBabbAb", "aaabbaBBBaabaBaBaBaB"}, {"aaaaabababbbaBBabbab", "aaaabbbAbAbaBaBabAbb", "aaabbaBBBabaaBaBaBaB"}, {"aaaaabababbbaBBAbabb", "aaaabbbAbAbaBaBAbbAb", "aaabbaBBAbabaBaBaBaB"}, {"aaaaabababbbaBBAbbab", "aaaabbbAbAbaBaBAbAbb", "aaabbaBBAbbaaBaBaBaB"}, {"aaaaabababbbaBBABabb", "aaaabbbAbAbaBaBBabAb", "aaabbaBBABabaBaBaBaB"}, {"aaaaabababbbaBBABAbb", "aaaabbbAbAbaBaBBAbAb", "aaabbaBBAAbbaBaBaBaB"}, {"aaaaabababbbaBBABABB", "aaaaabbbAbAbaBaBBBaB", "aaabbaBBAABBaBaBaBaB"}, {"aaaaabababbbaBBABBab", "aaaabbbAbAbaBaBBaBab", "aaabbaBBABBaaBaBaBaB"}, {"aaaaabababbbaBBABBAb", "aaaabbbAbAbaBaBBaBAb", "aaabbaBBABAbaBaBaBaB"}, {"aaaaabababbbaBBABBAB", "aaaaabbbAbAbaBaBBaBB", "aaabbaBBABABaBaBaBaB"}, {"aaaaabababbbaBBBabab", "aaaabbbababababbbAAb", "aaaabbbAbAbaBaBaBabb"}, {"aaaaabababbbaBBBAbab", "aaaabbbAbAbaBaBaBAbb", "aaabbaBBBAbaaBaBaBaB"}, {"aaaaabababbbaBBBABab", "aaaabbbAbAbaBaBaBBab", "aaabaBBaBaBaBaBBBAAB"}, {"aaaaabababbbaBBBABAb", "aaaabbbAbAbaBaBaBBAb", "aaabbaBBBAAbaBaBaBaB"}, {"aaaaabababbbaBBBABAB", "aaaaabbbAbAbaBaBaBBB", "aaabbaBaBaBaBaBBBAAB"}, {"aaaaabababbbbaababbb", "aaaabbbAbAbAbabbAbAb", "aaabbbaBaabbaBaBaBaB"}, {"aaaaabababbbbaabbabb", "aaaabbbAbAbAbabAbbAb", "aaabbbaBababaBaBaBaB"}, {"aaaaabababbbbaabbbab", "aaaabbbAbAbAbabAbAbb", "aaabbbaBabbaaBaBaBaB"}, {"aaaaabababbbbabaabbb", "aaaabbbAbAbAbbabAbAb", "aaabbbaaBabbaBaBaBaB"}, {"aaaaabababbbbababaBB", "aaaaabbbAbAbAbbbaBaB", "aaabababababbbAAAbbb"}, {"aaaaabababbbbababbaB", "aaaaabbbAbAbAbbbAbaB", "aaabbabAAbAbAbAbAbbb"}, {"aaaaabababbbbababbAb", "aaaabbbAbAbAbbbAbAAb", "aaabbaaBabAbAbAbAbbb"}, {"aaaaabababbbbababbAB", "aaaaabbbAbAbAbbbAbAB", "aaabbaaBAbAbAbAbAbbb"}, {"aaaaabababbbbababAbb", "aaaabbbAbAbAbbbAAbAb", "aaabbaBaabAbAbAbAbbb"}, {"aaaaabababbbbababABB", "aaaaabbbAbAbAbbbABaB", "aaabbaBAAbAbAbAbAbbb"}, {"aaaaabababbbbabaBabb", "aaaabbbAbAbAbbaBabAb", "aaabbbaaBBabaBaBaBaB"}, {"aaaaabababbbbabaBAbb", "aaaabbbAbAbAbbaBAbAb", "aaabbbaaBAbbaBaBaBaB"}, {"aaaaabababbbbabaBABB", "aaaaabbbAbAbAbbaBBaB", "aaabbbaaBABBaBaBaBaB"}, {"aaaaabababbbbabaBBab", "aaaabbbAbAbAbbaBaBab", "aaabbababababbbAAAbb"}, {"aaaaabababbbbabaBBAb", "aaaabbbAbAbAbbaBaBAb", "aaabbbaaBBAbaBaBaBaB"}, {"aaaaabababbbbabaBBAB", "aaaaabbbAbAbAbbaBaBB", "aaabbbaaBBABaBaBaBaB"}, {"aaaaabababbbbabbaabb", "aaaabbbAbAbAbbAbabAb", "aaababAbabAbAbAbAbbb"}, {"aaaaabababbbbabbabaB", "aaaaabbbAbAbAbbAbbaB", "aaababbAAbAbAbAbAbbb"}, {"aaaaabababbbbabbabAb", "aaaabbbAbAbAbbAbbAAb", "aaababaBabAbAbAbAbbb"}, {"aaaaabababbbbabbabAB", "aaaaabbbAbAbAbbAbbAB", "aaababaBAbAbAbAbAbbb"}, {"aaaaabababbbbabbaBab", "aaaabbbAbAbAbbAbaBab", "aaababAAbbAbAbAbAbbb"}, {"aaaaabababbbbabbaBAb", "aaaabbbAbAbAbbAbaBAb", "aaababABabAbAbAbAbbb"}, {"aaaaabababbbbabbaBAB", "aaaaabbbAbAbAbbAbaBB", "aaababABAbAbAbAbAbbb"}, {"aaaaabababbbbabbbaab", "aaaabbbAbAbAbbAbAbab", "aaabaabAbbAbAbAbAbbb"}, {"aaaaabababbbbabbAbab", "aaaabbbAbAbAbbAbAAbb", "aaabaaBabbAbAbAbAbbb"}, {"aaaaabababbbbabbABab", "aaaabbbAbAbAbbAbABab", "aaabaaBAbbAbAbAbAbbb"}, {"aaaaabababbbbabbABAb", "aaaabbbAbAbAbbAbABAb", "aaabaaBBabAbAbAbAbbb"}, {"aaaaabababbbbabbABAB", "aaaaabbbAbAbAbbAbABB", "aaabaaBBAbAbAbAbAbbb"}, {"aaaaabababbbbabAbabb", "aaaabbbAbAbAbbAAbbAb", "aaabaBababAbAbAbAbbb"}, {"aaaaabababbbbabAbbab", "aaaabbbAbAbAbbAAbAbb", "aaabaBaabbAbAbAbAbbb"}, {"aaaaabababbbbabABabb", "aaaabbbAbAbAbbABabAb", "aaabaBAbabAbAbAbAbbb"}, {"aaaaabababbbbabABAbb", "aaaabbbAbAbAbbABAbAb", "aaabaBBaabAbAbAbAbbb"}, {"aaaaabababbbbabABABB", "aaaaabbbAbAbAbbABBaB", "aaabaBBAAbAbAbAbAbbb"}, {"aaaaabababbbbabABBab", "aaaabbbAbAbAbbABaBab", "aaabaBAAbbAbAbAbAbbb"}, {"aaaaabababbbbabABBAb", "aaaabbbAbAbAbbABaBAb", "aaabaBABabAbAbAbAbbb"}, {"aaaaabababbbbabABBAB", "aaaaabbbAbAbAbbABaBB", "aaabaBABAbAbAbAbAbbb"}, {"aaaaabababbbbaBababb", "aaaabbbAbAbAbaBabbAb", "aaabbbaBBaabaBaBaBaB"}, {"aaaaabababbbbaBabbab", "aaaabbbAbAbAbaBabAbb", "aaabbbaBBabaaBaBaBaB"}, {"aaaaabababbbbaBAbabb", "aaaabbbAbAbAbaBAbbAb", "aaabbbaBAbabaBaBaBaB"}, {"aaaaabababbbbaBAbbab", "aaaabbbAbAbAbaBAbAbb", "aaabbbaBAbbaaBaBaBaB"}, {"aaaaabababbbbaBABabb", "aaaabbbAbAbAbaBBabAb", "aaabbbaBABabaBaBaBaB"}, {"aaaaabababbbbaBABAbb", "aaaabbbAbAbAbaBBAbAb", "aaabbbaBAAbbaBaBaBaB"}, {"aaaaabababbbbaBABABB", "aaaaabbbAbAbAbaBBBaB", "aaabbbaBAABBaBaBaBaB"}, {"aaaaabababbbbaBABBab", "aaaabbbAbAbAbaBBaBab", "aaabbbaBABBaaBaBaBaB"}, {"aaaaabababbbbaBABBAb", "aaaabbbAbAbAbaBBaBAb", "aaabbbaBABAbaBaBaBaB"}, {"aaaaabababbbbaBABBAB", "aaaaabbbAbAbAbaBBaBB", "aaabbbaBABABaBaBaBaB"}, {"aaaaabababbbbaBBabab", "aaaabbbAbAbAbaBaBabb", "aaababababaaaBBBabbb"}, {"aaaaabababbbbaBBAbab", "aaaabbbAbAbAbaBaBAbb", "aaabbbaBBAbaaBaBaBaB"}, {"aaaaabababbbbaBBABab", "aaaabbbAbAbAbaBaBBab", "aaabbbaBBABaaBaBaBaB"}, {"aaaaabababbbbaBBABAb", "aaaabbbAbAbAbaBaBBAb", "aaabbbaBBAAbaBaBaBaB"}, {"aaaaabababbbbaBBABAB", "aaaaabbbAbAbAbaBaBBB", "aaabbbaBBAABaBaBaBaB"}, {"aaaaabababbbbbaababb", "aaaabbbAbAbAbAbabbAb", "aaaabAbbabAbAbAbAbbb"}, {"aaaaabababbbbbaabbab", "aaaabbbAbAbAbAbabAbb", "aaaabAbabbAbAbAbAbbb"}, {"aaaaabababbbbbabaabb", "aaaabbbAbAbAbAbbabAb", "aaaabbAbabAbAbAbAbbb"}, {"aaaaabababbbbbababaB", "aaaaabbbAbAbAbAbbbaB", "aaaabbbAAbAbAbAbAbbb"}, {"aaaaabababbbbbababAb", "aaaabbaBabAbAbAbAbbb", "aaaabbbAbAbAbAbbbAAb"}, {"aaaaabababbbbbababAB", "aaaaabbbAbAbAbAbbbAB", "aaaabbaBAbAbAbAbAbbb"}, {"aaaaabababbbbbabaBab", "aaaabbbAbAbAbAbbaBab", "aaaabbAAbbAbAbAbAbbb"}, {"aaaaabababbbbbabaBAb", "aaaabbbAbAbAbAbbaBAb", "aaaabbABabAbAbAbAbbb"}, {"aaaaabababbbbbabaBAB", "aaaaabbbAbAbAbAbbaBB", "aaaabbABAbAbAbAbAbbb"}, {"aaaaabababbbbbabAbab", "aaaabaBabbAbAbAbAbbb", "aaaabbbAbAbAbAbbAAbb"}, {"aaaaabababbbbbabABab", "aaaabaBAbbAbAbAbAbbb", "aaaabbbAbAbAbAbbABab"}, {"aaaaabababbbbbabABAb", "aaaabaBBabAbAbAbAbbb", "aaaabbbAbAbAbAbbABAb"}, {"aaaaabababbbbbabABAB", "aaaaabbbAbAbAbAbbABB", "aaaabaBBAbAbAbAbAbbb"}, {"aaaaabababbbbbaBabab", "aaaabbbAbAbAbAbaBabb", "aaaabAAbbbAbAbAbAbbb"}, {"aaaaabababbbbbaBAbab", "aaaabbbAbAbAbAbaBAbb", "aaaabABabbAbAbAbAbbb"}, {"aaaaabababbbbbaBABab", "aaaabbbAbAbAbAbaBBab", "aaaabABAbbAbAbAbAbbb"}, {"aaaaabababbbbbaBABAb", "aaaabbbAbAbAbAbaBBAb", "aaaabABBabAbAbAbAbbb"}, {"aaaaabababbbbbaBABAB", "aaaaabbbAbAbAbAbaBBB", "aaaabABBAbAbAbAbAbbb"}, {"aaaaabababbbbbAbabab", "aaaaabaBBBABABABABBB", "aaaabbbAbAbAbAbAAbbb"}, {"aaaaabababbbbbABabab", "aaaaabABBBABABABABBB", "aaaabbbAbAbAbAbABabb"}, {"aaaaabababbbbbABAbab", "aaaaabbaBBABABABABBB", "aaaabbbAbAbAbAbABAbb"}, {"aaaaabababbbbbABABab", "aaaaabbABBABABABABBB", "aaaabbbAbAbAbAbABBab"}, {"aaaaabababbbbbABABAb", "aaaaabbbaBABABABABBB", "aaaabbbAbAbAbAbABBAb"}, {"aaaaabababbbbbABABAB", "aaaaabbbAbAbAbAbABBB", "aaaaabbbABABABABABBB"}, {"aaaaabababbbbAbababb", "aaaabaBBaBABABABABBB", "aaaabbbAbAbAbAAbbbAb"}, {"aaaaabababbbbAbabbab", "aaaabaBaBBABABABABBB", "aaaabbbAbAbAbAAbbAbb"}, {"aaaaabababbbbAbbabab", "aaaabaaBBBABABABABBB", "aaaabbbAbAbAbAAbAbbb"}, {"aaaaabababbbbABababb", "aaaabbbAbAbAbABabbAb", "aaaabABBaBABABABABBB"}, {"aaaaabababbbbABabbab", "aaaabbbAbAbAbABabAbb", "aaaabABaBBABABABABBB"}, {"aaaaabababbbbABAbabb", "aaaabbaBaBABABABABBB", "aaaabbbAbAbAbABAbbAb"}, {"aaaaabababbbbABAbbab", "aaaabbaaBBABABABABBB", "aaaabbbAbAbAbABAbAbb"}, {"aaaaabababbbbABABabb", "aaaabbbAbAbAbABBabAb", "aaaabbABaBABABABABBB"}, {"aaaaabababbbbABABAbb", "aaaabbbaaBABABABABBB", "aaaabbbAbAbAbABBAbAb"}, {"aaaaabababbbbABABABB", "aaaaabbbAbAbAbABBBaB", "aaaabbbAABABABABABBB"}, {"aaaaabababbbbABABBab", "aaaabbbAbAbAbABBaBab", "aaaabbAABBABABABABBB"}, {"aaaaabababbbbABABBAb", "aaaabbbAbAbAbABBaBAb", "aaaabbAbaBABABABABBB"}, {"aaaaabababbbbABABBAB", "aaaaabbbAbAbAbABBaBB", "aaaabbAbABABABABABBB"}, {"aaaaabababbbbABBabab", "aaaabbbAbAbAbABaBabb", "aaaabAABBBABABABABBB"}, {"aaaaabababbbbABBAbab", "aaaabbbAbAbAbABaBAbb", "aaaabAbaBBABABABABBB"}, {"aaaaabababbbbABBABab", "aaaabbbAbAbAbABaBBab", "aaaabAbABBABABABABBB"}, {"aaaaabababbbbABBABAb", "aaaabbbAbAbAbABaBBAb", "aaaabAbbaBABABABABBB"}, {"aaaaabababbbbABBABAB", "aaaaabbbAbAbAbABaBBB", "aaaabAbbABABABABABBB"}, {"aaaaabababbbAbababbb", "aaaabbbAbAbAAbbbAbAb", "aaabaBBaaBABABABABBB"}, {"aaaaabababbbAbabbabb", "aaaabbbAbAbAAbbAbbAb", "aaabaBaBaBABABABABBB"}, {"aaaaabababbbAbabbbab", "aaaabbbAbAbAAbbAbAbb", "aaabaBaaBBABABABABBB"}, {"aaaaabababbbAbbababb", "aaaabbbAbAbAAbAbbbAb", "aaabaaBBaBABABABABBB"}, {"aaaaabababbbAbbabbab", "aaaabbbAbAbAAbAbbAbb", "aaabaaBaBBABABABABBB"}, {"aaaaabababbbAbbbabab", "aaaabbbAbAbAAbAbAbbb", "aaabaaaBBBABABABABBB"}, {"aaaaabababbbABababbb", "aaaabbbAbAbABabbAbAb", "aaabbbABaabbaBaBaBaB"}, {"aaaaabababbbABabbabb", "aaaabbbAbAbABabAbbAb", "aaabbbABababaBaBaBaB"}, {"aaaaabababbbABabbbab", "aaaabbbAbAbABabAbAbb", "aaabbbABabbaaBaBaBaB"}, {"aaaaabababbbABAbabbb", "aaaabbbAbAbABAbbAbAb", "aaabbaBaaBABABABABBB"}, {"aaaaabababbbABAbbabb", "aaaabbbAbAbABAbAbbAb", "aaabbaaBaBABABABABBB"}, {"aaaaabababbbABAbbbab", "aaaabbbAbAbABAbAbAbb", "aaabbaaaBBABABABABBB"}, {"aaaaabababbbABABabbb", "aaaabbbAbAbABBabAbAb", "aaabbbAABabbaBaBaBaB"}, {"aaaaabababbbABABAbbb", "aaaabbbAbAbABBAbAbAb", "aaabbbaaaBABABABABBB"}, {"aaaaabababbbABABABBB", "aaaaabbbAbAbABBBaBaB", "aaabababababbbAAABBB"}, {"aaaaabababbbABABBabb", "aaaabbbAbAbABBaBabAb", "aaabbbAABBabaBaBaBaB"}, {"aaaaabababbbABABBAbb", "aaaabbbAbAbABBaBAbAb", "aaabbbAABAbbaBaBaBaB"}, {"aaaaabababbbABABBABB", "aaaaabbbAbAbABBaBBaB", "aaabbbAABABBaBaBaBaB"}, {"aaaaabababbbABABBBab", "aaaabbbAbAbABBaBaBab", "aaabbababababbbAAABB"}, {"aaaaabababbbABABBBAb", "aaaabbbAbAbABBaBaBAb", "aaabbbAABBAbaBaBaBaB"}, {"aaaaabababbbABABBBAB", "aaaaabbbAbAbABBaBaBB", "aaabbbAABBABaBaBaBaB"}, {"aaaaabababbbABBababb", "aaaabbbAbAbABaBabbAb", "aaabbbABBaabaBaBaBaB"}, {"aaaaabababbbABBabbab", "aaaabbbAbAbABaBabAbb", "aaabbbABBabaaBaBaBaB"}, {"aaaaabababbbABBAbabb", "aaaabbbAbAbABaBAbbAb", "aaabbbABAbabaBaBaBaB"}, {"aaaaabababbbABBAbbab", "aaaabbbAbAbABaBAbAbb", "aaabbbABAbbaaBaBaBaB"}, {"aaaaabababbbABBABabb", "aaaabbbAbAbABaBBabAb", "aaabbbABABabaBaBaBaB"}, {"aaaaabababbbABBABAbb", "aaaabbbAbAbABaBBAbAb", "aaabbbABAAbbaBaBaBaB"}, {"aaaaabababbbABBABABB", "aaaaabbbAbAbABaBBBaB", "aaabbbABAABBaBaBaBaB"}, {"aaaaabababbbABBABBab", "aaaabbbAbAbABaBBaBab", "aaabbbABABBaaBaBaBaB"}, {"aaaaabababbbABBABBAb", "aaaabbbAbAbABaBBaBAb", "aaabbbABABAbaBaBaBaB"}, {"aaaaabababbbABBABBAB", "aaaaabbbAbAbABaBBaBB", "aaabbbABABABaBaBaBaB"}, {"aaaaabababbbABBBabab", "aaaabbbAbAbABaBaBabb", "aaababababaaaBBBAbbb"}, {"aaaaabababbbABBBAbab", "aaaabbbAbAbABaBaBAbb", "aaabbbABBAbaaBaBaBaB"}, {"aaaaabababbbABBBABab", "aaaabbbAbAbABaBaBBab", "aaabbbABBABaaBaBaBaB"}, {"aaaaabababbbABBBABAb", "aaaabbbAbAbABaBaBBAb", "aaabbbABBAAbaBaBaBaB"}, {"aaaaabababbbABBBABAB", "aaaaabbbAbAbABaBaBBB", "aaabbbABBAABaBaBaBaB"}, {"aaaaabababbAbababbbb", "aaaabbbAbAAbbbAbAbAb", "aaabbAbaabbbaBaBaBaB"}, {"aaaaabababbAbabbabbb", "aaaabbbAbAAbbAbbAbAb", "aaabbAbababbaBaBaBaB"}, {"aaaaabababbAbabbbabb", "aaaabbbAbAAbbAbAbbAb", "aaabbAbabbabaBaBaBaB"}, {"aaaaabababbAbabbbbab", "aaaabbbAbAAbbAbAbAbb", "aaabbAbabbbaaBaBaBaB"}, {"aaaaabababbAbbababbb", "aaaabbbAbAAbAbbbAbAb", "aaabbAbbaabbaBaBaBaB"}, {"aaaaabababbAbbabbabb", "aaaabbbAbAAbAbbAbbAb", "aaabbAbbababaBaBaBaB"}, {"aaaaabababbAbbabbbab", "aaaabbbAbAAbAbbAbAbb", "aaabbAbbabbaaBaBaBaB"}, {"aaaaabababbAbbbababb", "aaaabbbAbAAbAbAbbbAb", "aaabbabAbAbAbAbbbaaB"}, {"aaaaabababbAbbbabbab", "aaaabbbAbAAbAbAbbAbb", "aaababbAbAbAbAbbbaaB"}, {"aaaaabababbAbbbbabab", "aaaabbbAbAbAbAbbbaaB", "aaaabbbAbAAbAbAbAbbb"}, {"aaaaabababbABababbbb", "aaaabbbAbABabbAbAbAb", "aaabbABaabbbaBaBaBaB"}, {"aaaaabababbABabbabbb", "aaaabbbAbABabAbbAbAb", "aaabbABababbaBaBaBaB"}, {"aaaaabababbABabbbabb", "aaaabbbAbABabAbAbbAb", "aaabbABabbabaBaBaBaB"}, {"aaaaabababbABabbbbab", "aaaabbbAbABabAbAbAbb", "aaabbAbAbAbAbbbaaBAb"}, {"aaaaabababbABAbabbbb", "aaaabbbAbABAbbAbAbAb", "aaabbAAbabbbaBaBaBaB"}, {"aaaaabababbABAbbabbb", "aaaabbbAbABAbAbbAbAb", "aaabbAAbbabbaBaBaBaB"}, {"aaaaabababbABAbbbabb", "aaaabbbAbABAbAbAbbAb", "aaababAbAbAbAbbbaaBB"}, {"aaaaabababbABAbbbbab", "aaaabbbAbABAbAbAbAbb", "aaaabbAbAbAbAbbbaaBB"}, {"aaaaabababbABABabbbb", "aaaabbbAbABBabAbAbAb", "aaabbAABabbbaBaBaBaB"}, {"aaaaabababbABABAbbbb", "aaaabbbAbABBAbAbAbAb", "aaaabAbAbAbAbbbaaBBB"}, {"aaaaabababbABABABBBB", "aaaaabbbAbABBBaBaBaB", "aaaabababababbbAABBB"}, {"aaaaabababbABABBabbb", "aaaabbbAbABBaBabAbAb", "aaabbAABBabbaBaBaBaB"}, {"aaaaabababbABABBAbbb", "aaaabbbAbABBaBAbAbAb", "aaabbAABAbbbaBaBaBaB"}, {"aaaaabababbABABBABBB", "aaaaabbbAbABBaBBaBaB", "aaabababababbbAABBaB"}, {"aaaaabababbABABBBabb", "aaaabbbAbABBaBaBabAb", "aaabbAABBBabaBaBaBaB"}, {"aaaaabababbABABBBAbb", "aaaabbbAbABBaBaBAbAb", "aaabbAABBAbbaBaBaBaB"}, {"aaaaabababbABABBBABB", "aaaaabbbAbABBaBaBBaB", "aaabbAABBABBaBaBaBaB"}, {"aaaaabababbABABBBBab", "aaaabbababababbbAABB", "aaaabbbAbABBaBaBaBab"}, {"aaaaabababbABABBBBAb", "aaaabbbAbABBaBaBaBAb", "aaabbAABBBAbaBaBaBaB"}, {"aaaaabababbABABBBBAB", "aaaaabbbAbABBaBaBaBB", "aaabaBaBaBaBaBBBAAbb"}, {"aaaaabababbABBababbb", "aaaabbbAbABaBabbAbAb", "aaabbABBaabbaBaBaBaB"}, {"aaaaabababbABBabbabb", "aaaabbbAbABaBabAbbAb", "aaabbABBababaBaBaBaB"}, {"aaaaabababbABBabbbab", "aaaabbbAbABaBabAbAbb", "aaabbABBabbaaBaBaBaB"}, {"aaaaabababbABBAbabbb", "aaaabbbAbABaBAbbAbAb", "aaabbABAbabbaBaBaBaB"}, {"aaaaabababbABBAbbabb", "aaaabbbAbABaBAbAbbAb", "aaabbABAbbabaBaBaBaB"}, {"aaaaabababbABBAbbbab", "aaaabbbAbABaBAbAbAbb", "aaabbAbAbAbAbbbaaBAB"}, {"aaaaabababbABBABabbb", "aaaabbbAbABaBBabAbAb", "aaabbABABabbaBaBaBaB"}, {"aaaaabababbABBABAbbb", "aaaabbbAbABaBBAbAbAb", "aaabbABAAbbbaBaBaBaB"}, {"aaaaabababbABBABABBB", "aaaaabbbAbABaBBBaBaB", "aaabababababbbAABaBB"}, {"aaaaabababbABBABBabb", "aaaabbbAbABaBBaBabAb", "aaabbABABBabaBaBaBaB"}, {"aaaaabababbABBABBAbb", "aaaabbbAbABaBBaBAbAb", "aaabbABABAbbaBaBaBaB"}, {"aaaaabababbABBABBABB", "aaaaabbbAbABaBBaBBaB", "aaabbABABABBaBaBaBaB"}, {"aaaaabababbABBABBBab", "aaaabbbAbABaBBaBaBab", "aaabbababababbbAABaB"}, {"aaaaabababbABBABBBAb", "aaaabbbAbABaBBaBaBAb", "aaabbABABBAbaBaBaBaB"}, {"aaaaabababbABBABBBAB", "aaaaabbbAbABaBBaBaBB", "aaabbABABBABaBaBaBaB"}, {"aaaaabababbABBBababb", "aaaabbbAbABaBaBabbAb", "aaabbAbababababbbAAB"}, {"aaaaabababbABBBabbab", "aaaabbbAbABaBaBabAbb", "aaabbABBBabaaBaBaBaB"}, {"aaaaabababbABBBAbabb", "aaaabbbAbABaBaBAbbAb", "aaabbABBAbabaBaBaBaB"}, {"aaaaabababbABBBAbbab", "aaaabbbAbABaBaBAbAbb", "aaabbABBAbbaaBaBaBaB"}, {"aaaaabababbABBBABabb", "aaaabbbAbABaBaBBabAb", "aaabbABBABabaBaBaBaB"}, {"aaaaabababbABBBABAbb", "aaaabbbAbABaBaBBAbAb", "aaabbABBAAbbaBaBaBaB"}, {"aaaaabababbABBBABABB", "aaaaabbbAbABaBaBBBaB", "aaabbABBAABBaBaBaBaB"}, {"aaaaabababbABBBABBab", "aaaabbbAbABaBaBBaBab", "aaabbABBABBaaBaBaBaB"}, {"aaaaabababbABBBABBAb", "aaaabbbAbABaBaBBaBAb", "aaabbABBABAbaBaBaBaB"}, {"aaaaabababbABBBABBAB", "aaaaabbbAbABaBaBBaBB", "aaabbABBABABaBaBaBaB"}, {"aaaaabababbABBBBabab", "aaaabbbababababbbAAB", "aaaabbbAbABaBaBaBabb"}, {"aaaaabababbABBBBAbab", "aaaabbbAbABaBaBaBAbb", "aaabbABBBAbaaBaBaBaB"}, {"aaaaabababbABBBBABab", "aaaabbbAbABaBaBaBBab", "aaabaBBaBaBaBaBBBAAb"}, {"aaaaabababbABBBBABAb", "aaaabbbAbABaBaBaBBAb", "aaabbABaBaBaBaBBBAAb"}, {"aaaaabababbABBBBABAB", "aaaaabbbAbABaBaBaBBB", "aaabbaBaBaBaBaBBBAAb"}, {"aaaaabababAbababbbbb", "aaaabbbAAbbbAbAbAbAb", "aaaabAbAbAbAbbbaBabb"}, {"aaaaabababAbabbabbbb", "aaaabbbAAbbAbbAbAbAb", "aaabAbababbbaBaBaBaB"}, {"aaaaabababAbabbbabbb", "aaaabbbAAbbAbAbbAbAb", "aaabAbabbabbaBaBaBaB"}, {"aaaaabababAbabbbbabb", "aaaabbbAAbbAbAbAbbAb", "aaababAbAbAbAbbbaBab"}, {"aaaaabababAbabbbbbab", "aaaabbbAAbbAbAbAbAbb", "aaaabbAbAbAbAbbbaBab"}, {"aaaaabababAbbababbbb", "aaaabbbAAbAbbbAbAbAb", "aaabAbbaabbbaBaBaBaB"}, {"aaaaabababAbbabbabbb", "aaaabbbAAbAbbAbbAbAb", "aaabAbbababbaBaBaBaB"}, {"aaaaabababAbbabbbabb", "aaaabbbAAbAbbAbAbbAb", "aaabAbbabbabaBaBaBaB"}, {"aaaaabababAbbabbbbab", "aaaabbbAAbAbbAbAbAbb", "aaabbAbAbAbAbbbaBaab"}, {"aaaaabababAbbbababbb", "aaaabbbAAbAbAbbbAbAb", "aaabbaabAbAbAbAbbbaB"}, {"aaaaabababAbbbabbabb", "aaaabbbAAbAbAbbAbbAb", "aaabababAbAbAbAbbbaB"}, {"aaaaabababAbbbabbbab", "aaaabbbAAbAbAbbAbAbb", "aaabaabbAbAbAbAbbbaB"}, {"aaaaabababAbbbbababb", "aaaabbabAbAbAbAbbbaB", "aaaabbbAAbAbAbAbbbAb"}, {"aaaaabababAbbbbabbab", "aaaababbAbAbAbAbbbaB", "aaaabbbAAbAbAbAbbAbb"}, {"aaaaabababABababbbbb", "aaaabbbABabbAbAbAbAb", "aaaabAbAbAbAbbbaBAbb"}, {"aaaaabababABabbabbbb", "aaaabbbABabAbbAbAbAb", "aaabAbAbAbAbbbaBAbab"}, {"aaaaabababABabbbabbb", "aaaabbbABabAbAbbAbAb", "aaabABabbabbaBaBaBaB"}, {"aaaaabababABabbbbabb", "aaaabbbABabAbAbAbbAb", "aaababAbAbAbAbbbaBAb"}, {"aaaaabababABabbbbbab", "aaaabbbABabAbAbAbAbb", "aaaabbAbAbAbAbbbaBAb"}, {"aaaaabababABAbabbbbb", "aaaabbbABAbbAbAbAbAb", "aaaabAbAbAbAbbbaBBab"}, {"aaaaabababABAbbabbbb", "aaaabbbABAbAbbAbAbAb", "aaabAbAbAbAbbbaBBaab"}, {"aaaaabababABAbbbabbb", "aaaabbbABAbAbAbbAbAb", "aaabaabAbAbAbAbbbaBB"}, {"aaaaabababABAbbbbabb", "aaaababAbAbAbAbbbaBB", "aaaabbbABAbAbAbAbbAb"}, {"aaaaabababABAbbbbbab", "aaaaabbAbAbAbAbbbaBB", "aaaabbbABAbAbAbAbAbb"}, {"aaaaabababABABabbbbb", "aaaabbbABBabAbAbAbAb", "aaaabAbAbAbAbbbaBBAb"}, {"aaaaabababABABAbbbbb", "aaaaabAbAbAbAbbbaBBB", "aaaabbbABBAbAbAbAbAb"}, {"aaaaabababABABBabbbb", "aaaabbbABBaBabAbAbAb", "aaabAbAbAbAbbbaBBAAb"}, {"aaaaabababABABBAbbbb", "aaaabbbABBaBAbAbAbAb", "aaaabAbAbAbAbbbaBBAB"}, {"aaaaabababABABBABBBB", "aaaaabbbABBaBBaBaBaB", "aaaabababababbbABBaB"}, {"aaaaabababABABBBabbb", "aaaabbbABBaBaBabAbAb", "aaabAAbababababbbABB"}, {"aaaaabababABABBBAbbb", "aaaabbbABBaBaBAbAbAb", "aaabAbAbAbAbbbaBBAAB"}, {"aaaaabababABABBBABBB", "aaaaabbbABBaBaBBaBaB", "aaabababababbbABBaaB"}, {"aaaaabababABABBBBabb", "aaaabbbABBaBaBaBabAb", "aaaabAbababababbbABB"}, {"aaaaabababABABBBBAbb", "aaaabbbABBaBaBaBAbAb", "aaabAABaBaBaBaBBBAbb"}, {"aaaaabababABABBBBABB", "aaaaabbbABBaBaBaBBaB", "aaabaaBaBaBaBaBBBAbb"}, {"aaaaabababABABBBBBab", "aaaaabbababababbbABB", "aaaabbbABBaBaBaBaBab"}, {"aaaaabababABABBBBBAb", "aaaabbbABBaBaBaBaBAb", "aaaabABaBaBaBaBBBAbb"}, {"aaaaabababABABBBBBAB", "aaaaabbbABBaBaBaBaBB", "aaaabaBaBaBaBaBBBAbb"}, {"aaaaabababABBababbbb", "aaaabbbABaBabbAbAbAb", "aaabAbAbAbAbbbaBAAbb"}, {"aaaaabababABBabbabbb", "aaaabbbABaBabAbbAbAb", "aaabABBababbaBaBaBaB"}, {"aaaaabababABBabbbabb", "aaaabbbABaBabAbAbbAb", "aaabABBabbabaBaBaBaB"}, {"aaaaabababABBabbbbab", "aaaabbbABaBabAbAbAbb", "aaabbAbAbAbAbbbaBAAb"}, {"aaaaabababABBAbabbbb", "aaaabbbABaBAbbAbAbAb", "aaabAbAbAbAbbbaBABab"}, {"aaaaabababABBAbbabbb", "aaaabbbABaBAbAbbAbAb", "aaabABAbbabbaBaBaBaB"}, {"aaaaabababABBAbbbabb", "aaaabbbABaBAbAbAbbAb", "aaababAbAbAbAbbbaBAB"}, {"aaaaabababABBAbbbbab", "aaaabbbABaBAbAbAbAbb", "aaaabbAbAbAbAbbbaBAB"}, {"aaaaabababABBABabbbb", "aaaabbbABaBBabAbAbAb", "aaabAbAbAbAbbbaBABAb"}, {"aaaaabababABBABAbbbb", "aaaabbbABaBBAbAbAbAb", "aaaabAbAbAbAbbbaBABB"}, {"aaaaabababABBABABBBB", "aaaaabbbABaBBBaBaBaB", "aaaabababababbbABaBB"}, {"aaaaabababABBABBabbb", "aaaabbbABaBBaBabAbAb", "aaabABABBabbaBaBaBaB"}, {"aaaaabababABBABBAbbb", "aaaabbbABaBBaBAbAbAb", "aaabAbAbAbAbbbaBABAB"}, {"aaaaabababABBABBABBB", "aaaaabbbABaBBaBBaBaB", "aaabababababbbABaBaB"}, {"aaaaabababABBABBBabb", "aaaabbbABaBBaBaBabAb", "aaabAbababababbbABaB"}, {"aaaaabababABBABBBAbb", "aaaabbbABaBBaBaBAbAb", "aaabABABBAbbaBaBaBaB"}, {"aaaaabababABBABBBABB", "aaaaabbbABaBBaBaBBaB", "aaabABABBABBaBaBaBaB"}, {"aaaaabababABBABBBBab", "aaaabbababababbbABaB", "aaaabbbABaBBaBaBaBab"}, {"aaaaabababABBABBBBAb", "aaaabbbABaBBaBaBaBAb", "aaabABaBaBaBaBBBAbab"}, {"aaaaabababABBABBBBAB", "aaaaabbbABaBBaBaBaBB", "aaabaBaBaBaBaBBBAbab"}, {"aaaaabababABBBababbb", "aaaabbbABaBaBabbAbAb", "aaabbAAbababababbbAB"}, {"aaaaabababABBBabbabb", "aaaabbbABaBaBabAbbAb", "aaabAbAbababababbbAB"}, {"aaaaabababABBBabbbab", "aaaabbbABaBaBabAbAbb", "aaabAAbbababababbbAB"}, {"aaaaabababABBBAbabbb", "aaaabbbABaBaBAbbAbAb", "aaabABBAbabbaBaBaBaB"}, {"aaaaabababABBBAbbabb", "aaaabbbABaBaBAbAbbAb", "aaabABBAbbabaBaBaBaB"}, {"aaaaabababABBBAbbbab", "aaaabbbABaBaBAbAbAbb", "aaabbAbAbAbAbbbaBAAB"}, {"aaaaabababABBBABabbb", "aaaabbbABaBaBBabAbAb", "aaabABBABabbaBaBaBaB"}, {"aaaaabababABBBABAbbb", "aaaabbbABaBaBBAbAbAb", "aaabAbAbAbAbbbaBAABB"}, {"aaaaabababABBBABABBB", "aaaaabbbABaBaBBBaBaB", "aaabababababbbABaaBB"}, {"aaaaabababABBBABBabb", "aaaabbbABaBaBBaBabAb", "aaabABBABBabaBaBaBaB"}, {"aaaaabababABBBABBAbb", "aaaabbbABaBaBBaBAbAb", "aaabABBABAbbaBaBaBaB"}, {"aaaaabababABBBABBABB", "aaaaabbbABaBaBBaBBaB", "aaabABBABABBaBaBaBaB"}, {"aaaaabababABBBABBBab", "aaaabbbABaBaBBaBaBab", "aaabbababababbbABaaB"}, {"aaaaabababABBBABBBAb", "aaaabbbABaBaBBaBaBAb", "aaabABBABBAbaBaBaBaB"}, {"aaaaabababABBBABBBAB", "aaaaabbbABaBaBBaBaBB", "aaabABBABBABaBaBaBaB"}, {"aaaaabababABBBBababb", "aaaabbbABaBaBaBabbAb", "aaaabbAbababababbbAB"}, {"aaaaabababABBBBabbab", "aaaabbbABaBaBaBabAbb", "aaaabAbbababababbbAB"}, {"aaaaabababABBBBAbabb", "aaaabbbABaBaBaBAbbAb", "aaabABABaBaBaBaBBBAb"}, {"aaaaabababABBBBAbbab", "aaaabbbABaBaBaBAbAbb", "aaabAABBaBaBaBaBBBAb"}, {"aaaaabababABBBBABabb", "aaaabbbABaBaBaBBabAb", "aaabaBABaBaBaBaBBBAb"}, {"aaaaabababABBBBABAbb", "aaaabbbABaBaBaBBAbAb", "aaabbAABaBaBaBaBBBAb"}, {"aaaaabababABBBBABABB", "aaaaabbbABaBaBaBBBaB", "aaabbaaBaBaBaBaBBBAb"}, {"aaaaabababABBBBABBab", "aaaabbbABaBaBaBBaBab", "aaabaaBBaBaBaBaBBBAb"}, {"aaaaabababABBBBABBAb", "aaaabbbABaBaBaBBaBAb", "aaababABaBaBaBaBBBAb"}, {"aaaaabababABBBBABBAB", "aaaaabbbABaBaBaBBaBB", "aaababaBaBaBaBaBBBAb"}, {"aaaaabababABBBBBabab", "aaaaabbbababababbbAB", "aaaabbbABaBaBaBaBabb"}, {"aaaaabababABBBBBAbab", "aaaabbbABaBaBaBaBAbb", "aaaabABBaBaBaBaBBBAb"}, {"aaaaabababABBBBBABab", "aaaabaBBaBaBaBaBBBAb", "aaaabbbABaBaBaBaBBab"}, {"aaaaabababABBBBBABAb", "aaaabbbABaBaBaBaBBAb", "aaaabbABaBaBaBaBBBAb"}, {"aaaaabababABBBBBABAB", "aaaaabbbABaBaBaBaBBB", "aaaabbaBaBaBaBaBBBAb"}, {"aaaaababaBabababbbbb", "aaaabbaBabbbAbAbAbAb", "aaaabAbAbAbAbbbAAbbb"}, {"aaaaababaBababbabbbb", "aaaabbaBabbAbbAbAbAb", "aaabbaaBaBBBabababab"}, {"aaaaababaBababbbabbb", "aaaabbaBabbAbAbbAbAb", "aaabbaaBBaBBabababab"}, {"aaaaababaBababbbbabb", "aaaabbaBabbAbAbAbbAb", "aaababAbAbAbAbbbAAbb"}, {"aaaaababaBababbbbbab", "aaaabbaBabbAbAbAbAbb", "aaaabbAbAbAbAbbbAAbb"}, {"aaaaababaBabbababbbb", "aaaabbaBabAbbbAbAbAb", "aaabbaBaaBBBabababab"}, {"aaaaababaBabbabbabbb", "aaaabbaBabAbbAbbAbAb", "aaabbaBaBaBBabababab"}, {"aaaaababaBabbabbbabb", "aaaabbaBabAbbAbAbbAb", "aaabbaBaBBaBabababab"}, {"aaaaababaBabbabbbbab", "aaaabbaBabAbbAbAbAbb", "aaabbaBaBBBaabababab"}, {"aaaaababaBabbbababbb", "aaaabbaBabAbAbbbAbAb", "aaabbaBBaaBBabababab"}, {"aaaaababaBabbbabbabb", "aaaabbaBabAbAbbAbbAb", "aaabbaBBaBaBabababab"}, {"aaaaababaBabbbabbbab", "aaaabbaBabAbAbbAbAbb", "aaabbaBBaBBaabababab"}, {"aaaaababaBabbbbababb", "aaaabbaBabAbAbAbbbAb", "aaabbabAbAbAbAbbbAAb"}, {"aaaaababaBabbbbabbab", "aaaabbaBabAbAbAbbAbb", "aaababbAbAbAbAbbbAAb"}, {"aaaaababaBAbababbbbb", "aaaabbaBAbbbAbAbAbAb", "aaaabAbAbAbAbbbABabb"}, {"aaaaababaBAbabbabbbb", "aaaabbaBAbbAbbAbAbAb", "aaabAbAbAbAbbbABabab"}, {"aaaaababaBAbabbbabbb", "aaaabbaBAbbAbAbbAbAb", "aaabABaBBaBBabababab"}, {"aaaaababaBAbabbbbabb", "aaaabbaBAbbAbAbAbbAb", "aaababAbAbAbAbbbABab"}, {"aaaaababaBAbabbbbbab", "aaaabbaBAbbAbAbAbAbb", "aaaabbAbAbAbAbbbABab"}, {"aaaaababaBAbbababbbb", "aaaabbaBAbAbbbAbAbAb", "aaabAbAbAbAbbbABaabb"}, {"aaaaababaBAbbabbabbb", "aaaabbaBAbAbbAbbAbAb", "aaabABBaBaBBabababab"}, {"aaaaababaBAbbabbbabb", "aaaabbaBAbAbbAbAbbAb", "aaabABBaBBaBabababab"}, {"aaaaababaBAbbabbbbab", "aaaabbaBAbAbbAbAbAbb", "aaabbAbAbAbAbbbABaab"}, {"aaaaababaBAbbbababbb", "aaaabbaBAbAbAbbbAbAb", "aaabbaabAbAbAbAbbbAB"}, {"aaaaababaBAbbbabbabb", "aaaabbaBAbAbAbbAbbAb", "aaabababAbAbAbAbbbAB"}, {"aaaaababaBAbbbabbbab", "aaaabbaBAbAbAbbAbAbb", "aaabaabbAbAbAbAbbbAB"}, {"aaaaababaBAbbbbababb", "aaaabbabAbAbAbAbbbAB", "aaaabbaBAbAbAbAbbbAb"}, {"aaaaababaBAbbbbabbab", "aaaababbAbAbAbAbbbAB", "aaaabbaBAbAbAbAbbAbb"}, {"aaaaababaBABababbbbb", "aaaabbaBBabbAbAbAbAb", "aaaabAbAbAbAbbbABAbb"}, {"aaaaababaBABabbabbbb", "aaaabbaBBabAbbAbAbAb", "aaabAbaBaBBBabababab"}, {"aaaaababaBABabbbabbb", "aaaabbaBBabAbAbbAbAb", "aaabAbaBBaBBabababab"}, {"aaaaababaBABabbbbabb", "aaaabbaBBabAbAbAbbAb", "aaababAbAbAbAbbbABAb"}, {"aaaaababaBABabbbbbab", "aaaabbaBBabAbAbAbAbb", "aaaabbAbAbAbAbbbABAb"}, {"aaaaababaBABAbabbbbb", "aaaabbaBBAbbAbAbAbAb", "aaaabAbAbAbAbbbABBab"}, {"aaaaababaBABAbbabbbb", "aaaabbaBBAbAbbAbAbAb", "aaabAbAbAbAbbbABBaab"}, {"aaaaababaBABAbbbabbb", "aaaabbaBBAbAbAbbAbAb", "aaabaabAbAbAbAbbbABB"}, {"aaaaababaBABAbbbbabb", "aaaababAbAbAbAbbbABB", "aaaabbaBBAbAbAbAbbAb"}, {"aaaaababaBABAbbbbbab", "aaaaabbAbAbAbAbbbABB", "aaaabbaBBAbAbAbAbAbb"}, {"aaaaababaBABABabbbbb", "aaaabbaBBBabAbAbAbAb", "aaaabAbAbAbAbbbABBAb"}, {"aaaaababaBABABAbbbbb", "aaaaabAbAbAbAbbbABBB", "aaaabbaBBBAbAbAbAbAb"}, {"aaaaababaBABABBabbbb", "aaaabbaBBBaBabAbAbAb", "aaabAbAbAbAbbbABBAAb"}, {"aaaaababaBABABBAbbbb", "aaaabbaBBBaBAbAbAbAb", "aaaabAbAbAbAbbbABBAB"}, {"aaaaababaBABABBABBBB", "aaaaabbaBBBaBBaBaBaB", "aaaabababababbbaBBaB"}, {"aaaaababaBABABBBabbb", "aaaabbaBBBaBaBabAbAb", "aaabAAbababababbbaBB"}, {"aaaaababaBABABBBAbbb", "aaaabbaBBBaBaBAbAbAb", "aaabAbAbAbAbbbABBAAB"}, {"aaaaababaBABABBBABBB", "aaaaabbaBBBaBaBBaBaB", "aaabababababbbaBBaaB"}, {"aaaaababaBABABBBBabb", "aaaabbaBBBaBaBaBabAb", "aaaabAbababababbbaBB"}, {"aaaaababaBABABBBBAbb", "aaaabbaBBBaBaBaBAbAb", "aaabAAbbbABBabababab"}, {"aaaaababaBABABBBBABB", "aaaaabbaBBBaBaBaBBaB", "aaabaaBaBaBaBaBBBabb"}, {"aaaaababaBABABBBBBab", "aaaaabbababababbbaBB", "aaaabbaBBBaBaBaBaBab"}, {"aaaaababaBABABBBBBAb", "aaaabbaBBBaBaBaBaBAb", "aaaabABaBaBaBaBBBabb"}, {"aaaaababaBABABBBBBAB", "aaaaabbaBBBaBaBaBaBB", "aaaabaBaBaBaBaBBBabb"}, {"aaaaababaBABBababbbb", "aaaabbaBBaBabbAbAbAb", "aaabAbbaaBBBabababab"}, {"aaaaababaBABBabbabbb", "aaaabbaBBaBabAbbAbAb", "aaabAbbaBaBBabababab"}, {"aaaaababaBABBabbbabb", "aaaabbaBBaBabAbAbbAb", "aaabAbbaBBaBabababab"}, {"aaaaababaBABBabbbbab", "aaaabbaBBaBabAbAbAbb", "aaabbAbAbAbAbbbABAAb"}, {"aaaaababaBABBAbabbbb", "aaaabbaBBaBAbbAbAbAb", "aaabAbAbAbAbbbABABab"}, {"aaaaababaBABBAbbabbb", "aaaabbaBBaBAbAbbAbAb", "aaabAbABBaBBabababab"}, {"aaaaababaBABBAbbbabb", "aaaabbaBBaBAbAbAbbAb", "aaababAbAbAbAbbbABAB"}, {"aaaaababaBABBAbbbbab", "aaaabbaBBaBAbAbAbAbb", "aaaabbAbAbAbAbbbABAB"}, {"aaaaababaBABBABabbbb", "aaaabbaBBaBBabAbAbAb", "aaabAbAbaBBBabababab"}, {"aaaaababaBABBABAbbbb", "aaaabbaBBaBBAbAbAbAb", "aaaabAbAbAbAbbbABABB"}, {"aaaaababaBABBABABBBB", "aaaaabbaBBaBBBaBaBaB", "aaaabababababbbaBaBB"}, {"aaaaababaBABBABBabbb", "aaaabbaBBaBBaBabAbAb", "aaabAbAbbaBBabababab"}, {"aaaaababaBABBABBAbbb", "aaaabbaBBaBBaBAbAbAb", "aaabAbAbAbAbbbABABAB"}, {"aaaaababaBABBABBABBB", "aaaaabbaBBaBBaBBaBaB", "aaabababababbbaBaBaB"}, {"aaaaababaBABBABBBabb", "aaaabbaBBaBBaBaBabAb", "aaabAbababababbbaBaB"}, {"aaaaababaBABBABBBAbb", "aaaabbaBBaBBaBaBAbAb", "aaabAbAbbABBabababab"}, {"aaaaababaBABBABBBABB", "aaaaabbaBBaBBaBaBBaB", "aaabAbAbbAbbabababab"}, {"aaaaababaBABBABBBBab", "aaaabbababababbbaBaB", "aaaabbaBBaBBaBaBaBab"}, {"aaaaababaBABBABBBBAb", "aaaabbaBBaBBaBaBaBAb", "aaabAbAbbbABabababab"}, {"aaaaababaBABBABBBBAB", "aaaaabbaBBaBBaBaBaBB", "aaabaBaBaBaBaBBBabab"}, {"aaaaababaBABBBababbb", "aaaabbaBBaBaBabbAbAb", "aaabbAAbababababbbaB"}, {"aaaaababaBABBBabbabb", "aaaabbaBBaBaBabAbbAb", "aaabAbbbaBaBabababab"}, {"aaaaababaBABBBabbbab", "aaaabbaBBaBaBabAbAbb", "aaabAbbbaBBaabababab"}, {"aaaaababaBABBBAbabbb", "aaaabbaBBaBaBAbbAbAb", "aaabAbbABaBBabababab"}, {"aaaaababaBABBBAbbabb", "aaaabbaBBaBaBAbAbbAb", "aaabAbbABBaBabababab"}, {"aaaaababaBABBBAbbbab", "aaaabbaBBaBaBAbAbAbb", "aaabbAbAbAbAbbbABAAB"}, {"aaaaababaBABBBABabbb", "aaaabbaBBaBaBBabAbAb", "aaabAbbAbaBBabababab"}, {"aaaaababaBABBBABAbbb", "aaaabbaBBaBaBBAbAbAb", "aaabAbbAABBBabababab"}, {"aaaaababaBABBBABABBB", "aaaaabbaBBaBaBBBaBaB", "aaabababababbbaBaaBB"}, {"aaaaababaBABBBABBabb", "aaaabbaBBaBaBBaBabAb", "aaabAbbAbbaBabababab"}, {"aaaaababaBABBBABBAbb", "aaaabbaBBaBaBBaBAbAb", "aaabAbbAbABBabababab"}, {"aaaaababaBABBBABBABB", "aaaaabbaBBaBaBBaBBaB", "aaabAbbAbAbbabababab"}, {"aaaaababaBABBBABBBab", "aaaabbaBBaBaBBaBaBab", "aaabbababababbbaBaaB"}, {"aaaaababaBABBBABBBAb", "aaaabbaBBaBaBBaBaBAb", "aaabAbbAbbABabababab"}, {"aaaaababaBABBBABBBAB", "aaaaabbaBBaBaBBaBaBB", "aaabAbbAbbAbabababab"}, {"aaaaababaBABBBBababb", "aaaabbaBBaBaBaBabbAb", "aaaabbAbababababbbaB"}, {"aaaaababaBABBBBabbab", "aaaabbaBBaBaBaBabAbb", "aaaabAbbababababbbaB"}, {"aaaaababaBABBBBAbabb", "aaaabbaBBaBaBaBAbbAb", "aaabAbbbABaBabababab"}, {"aaaaababaBABBBBAbbab", "aaaabbaBBaBaBaBAbAbb", "aaabAbbbABBaabababab"}, {"aaaaababaBABBBBABabb", "aaaabbaBBaBaBaBBabAb", "aaabaBABaBaBaBaBBBab"}, {"aaaaababaBABBBBABAbb", "aaaabbaBBaBaBaBBAbAb", "aaabbAABaBaBaBaBBBab"}, {"aaaaababaBABBBBABABB", "aaaaabbaBBaBaBaBBBaB", "aaabbaaBaBaBaBaBBBab"}, {"aaaaababaBABBBBABBab", "aaaabbaBBaBaBaBBaBab", "aaabaaBBaBaBaBaBBBab"}, {"aaaaababaBABBBBABBAb", "aaaabbaBBaBaBaBBaBAb", "aaababABaBaBaBaBBBab"}, {"aaaaababaBABBBBABBAB", "aaaaabbaBBaBaBaBBaBB", "aaababaBaBaBaBaBBBab"}, {"aaaaababaBABBBBBabab", "aaaaabbbababababbbaB", "aaaabbaBBaBaBaBaBabb"}, {"aaaaababaBABBBBBAbab", "aaaabbaBBaBaBaBaBAbb", "aaaabABBaBaBaBaBBBab"}, {"aaaaababaBABBBBBABab", "aaaabaBBaBaBaBaBBBab", "aaaabbaBBaBaBaBaBBab"}, {"aaaaababaBABBBBBABAb", "aaaabbaBBaBaBaBaBBAb", "aaaabbABaBaBaBaBBBab"}, {"aaaaababaBABBBBBABAB", "aaaaabbaBBaBaBaBaBBB", "aaaabbaBaBaBaBaBBBab"}, {"aaaaababaBBabababbbb", "aaaabbaBaBabbbAbAbAb", "aaabbbaaaBBBabababab"}, {"aaaaababaBBababbabbb", "aaaabbaBaBabbAbbAbAb", "aaabbbaaBaBBabababab"}, {"aaaaababaBBababbbabb", "aaaabbaBaBabbAbAbbAb", "aaabbbaaBBaBabababab"}, {"aaaaababaBBababbbbab", "aaaabbaBaBabbAbAbAbb", "aaabbbaaBBBaabababab"}, {"aaaaababaBBabbababbb", "aaaabbaBaBabAbbbAbAb", "aaabbbaBaaBBabababab"}, {"aaaaababaBBabbabbabb", "aaaabbaBaBabAbbAbbAb", "aaabbbaBaBaBabababab"}, {"aaaaababaBBabbabbbab", "aaaabbaBaBabAbbAbAbb", "aaabbbaBaBBaabababab"}, {"aaaaababaBBabbbababb", "aaaabbaBaBabAbAbbbAb", "aaabbbaBBaaBabababab"}, {"aaaaababaBBabbbabbab", "aaaabbaBaBabAbAbbAbb", "aaabbbaBBaBaabababab"}, {"aaaaababaBBabbbbabab", "aaaabbaBaBabAbAbAbbb", "aaababababaaabbbaBBB"}, {"aaaaababaBBAbababbbb", "aaaabbaBaBAbbbAbAbAb", "aaabbABaaBBBabababab"}, {"aaaaababaBBAbabbabbb", "aaaabbaBaBAbbAbbAbAb", "aaabbABaBaBBabababab"}, {"aaaaababaBBAbabbbabb", "aaaabbaBaBAbbAbAbbAb", "aaabbABaBBaBabababab"}, {"aaaaababaBBAbabbbbab", "aaaabbaBaBAbbAbAbAbb", "aaabbAbAbAbAbbbAABab"}, {"aaaaababaBBAbbababbb", "aaaabbaBaBAbAbbbAbAb", "aaabbABBaaBBabababab"}, {"aaaaababaBBAbbabbabb", "aaaabbaBaBAbAbbAbbAb", "aaabbABBaBaBabababab"}, {"aaaaababaBBAbbabbbab", "aaaabbaBaBAbAbbAbAbb", "aaabbABBaBBaabababab"}, {"aaaaababaBBAbbbababb", "aaaabbaBaBAbAbAbbbAb", "aaabbabAbAbAbAbbbAAB"}, {"aaaaababaBBAbbbabbab", "aaaabbaBaBAbAbAbbAbb", "aaababbAbAbAbAbbbAAB"}, {"aaaaababaBBAbbbbabab", "aaaabbaBaBAbAbAbAbbb", "aaaabbbAbAbAbAbbbAAB"}, {"aaaaababaBBABababbbb", "aaaabbaBaBBabbAbAbAb", "aaabbAbaaBBBabababab"}, {"aaaaababaBBABabbabbb", "aaaabbaBaBBabAbbAbAb", "aaabbAbaBaBBabababab"}, {"aaaaababaBBABabbbabb", "aaaabbaBaBBabAbAbbAb", "aaabbAbaBBaBabababab"}, {"aaaaababaBBABabbbbab", "aaaabbaBaBBabAbAbAbb", "aaabbAbaBBBaabababab"}, {"aaaaababaBBABAbabbbb", "aaaabbaBaBBAbbAbAbAb", "aaabbAABaBBBabababab"}, {"aaaaababaBBABAbbabbb", "aaaabbaBaBBAbAbbAbAb", "aaabbAABBaBBabababab"}, {"aaaaababaBBABAbbbabb", "aaaabbaBaBBAbAbAbbAb", "aaababAbAbAbAbbbAABB"}, {"aaaaababaBBABAbbbbab", "aaaabbaBaBBAbAbAbAbb", "aaaabbAbAbAbAbbbAABB"}, {"aaaaababaBBABABabbbb", "aaaabbaBaBBBabAbAbAb", "aaabbAAbaBBBabababab"}, {"aaaaababaBBABABAbbbb", "aaaabbaBaBBBAbAbAbAb", "aaaabAbAbAbAbbbAABBB"}, {"aaaaababaBBABABABBBB", "aaaaabbaBaBBBBaBaBaB", "aaaabababababbbaaBBB"}, {"aaaaababaBBABABBabbb", "aaaabbaBaBBBaBabAbAb", "aaabbAAbbaBBabababab"}, {"aaaaababaBBABABBAbbb", "aaaabbaBaBBBaBAbAbAb", "aaabbAAbABBBabababab"}, {"aaaaababaBBABABBABBB", "aaaaabbaBaBBBaBBaBaB", "aaabababababbbaaBBaB"}, {"aaaaababaBBABABBBabb", "aaaabbaBaBBBaBaBabAb", "aaabbAAbbbaBabababab"}, {"aaaaababaBBABABBBAbb", "aaaabbaBaBBBaBaBAbAb", "aaabbAAbbABBabababab"}, {"aaaaababaBBABABBBABB", "aaaaabbaBaBBBaBaBBaB", "aaabbAAbbAbbabababab"}, {"aaaaababaBBABABBBBab", "aaaabbababababbbaaBB", "aaaabbaBaBBBaBaBaBab"}, {"aaaaababaBBABABBBBAb", "aaaabbaBaBBBaBaBaBAb", "aaabbAAbbbABabababab"}, {"aaaaababaBBABABBBBAB", "aaaaabbaBaBBBaBaBaBB", "aaabaBaBaBaBaBBBaabb"}, {"aaaaababaBBABBababbb", "aaaabbaBaBBaBabbAbAb", "aaabbAbbaaBBabababab"}, {"aaaaababaBBABBabbabb", "aaaabbaBaBBaBabAbbAb", "aaabbAbbaBaBabababab"}, {"aaaaababaBBABBabbbab", "aaaabbaBaBBaBabAbAbb", "aaabbAbbaBBaabababab"}, {"aaaaababaBBABBAbabbb", "aaaabbaBaBBaBAbbAbAb", "aaabbAbABaBBabababab"}, {"aaaaababaBBABBAbbabb", "aaaabbaBaBBaBAbAbbAb", "aaabbAbABBaBabababab"}, {"aaaaababaBBABBAbbbab", "aaaabbaBaBBaBAbAbAbb", "aaabbAbAbAbAbbbAABAB"}, {"aaaaababaBBABBABabbb", "aaaabbaBaBBaBBabAbAb", "aaabbAbAbaBBabababab"}, {"aaaaababaBBABBABAbbb", "aaaabbaBaBBaBBAbAbAb", "aaabbAbAABBBabababab"}, {"aaaaababaBBABBABABBB", "aaaaabbaBaBBaBBBaBaB", "aaabababababbbaaBaBB"}, {"aaaaababaBBABBABBabb", "aaaabbaBaBBaBBaBabAb", "aaabbAbAbbaBabababab"}, {"aaaaababaBBABBABBAbb", "aaaabbaBaBBaBBaBAbAb", "aaabbAbAbABBabababab"}, {"aaaaababaBBABBABBABB", "aaaaabbaBaBBaBBaBBaB", "aaabbAbAbAbbabababab"}, {"aaaaababaBBABBABBBab", "aaaabbaBaBBaBBaBaBab", "aaabbababababbbaaBaB"}, {"aaaaababaBBABBABBBAb", "aaaabbaBaBBaBBaBaBAb", "aaabbAbAbbABabababab"}, {"aaaaababaBBABBABBBAB", "aaaaabbaBaBBaBBaBaBB", "aaabbAbAbbAbabababab"}, {"aaaaababaBBABBBababb", "aaaabbaBaBBaBaBabbAb", "aaabbAbababababbbaaB"}, {"aaaaababaBBABBBabbab", "aaaabbaBaBBaBaBabAbb", "aaabbAbbbaBaabababab"}, {"aaaaababaBBABBBAbabb", "aaaabbaBaBBaBaBAbbAb", "aaabbAbbABaBabababab"}, {"aaaaababaBBABBBAbbab", "aaaabbaBaBBaBaBAbAbb", "aaabbAbbABBaabababab"}, {"aaaaababaBBABBBABabb", "aaaabbaBaBBaBaBBabAb", "aaabbAbbAbaBabababab"}, {"aaaaababaBBABBBABAbb", "aaaabbaBaBBaBaBBAbAb", "aaabbAbbAABBabababab"}, {"aaaaababaBBABBBABABB", "aaaaabbaBaBBaBaBBBaB", "aaabbAbbAAbbabababab"}, {"aaaaababaBBABBBABBab", "aaaabbaBaBBaBaBBaBab", "aaabbAbbAbbaabababab"}, {"aaaaababaBBABBBABBAb", "aaaabbaBaBBaBaBBaBAb", "aaabbAbbAbABabababab"}, {"aaaaababaBBABBBABBAB", "aaaaabbaBaBBaBaBBaBB", "aaabbAbbAbAbabababab"}, {"aaaaababaBBABBBBabab", "aaaabbaBaBBaBaBaBabb", "aaaabbbababababbbaaB"}, {"aaaaababaBBABBBBAbab", "aaaabbaBaBBaBaBaBAbb", "aaabbAbbbABaabababab"}, {"aaaaababaBBABBBBABab", "aaaabbaBaBBaBaBaBBab", "aaabaBBaBaBaBaBBBaab"}, {"aaaaababaBBABBBBABAb", "aaaabbaBaBBaBaBaBBAb", "aaabbAbbbAABabababab"}, {"aaaaababaBBABBBBABAB", "aaaaabbaBaBBaBaBaBBB", "aaabbaBaBaBaBaBBBaab"}, {"aaaaababaBBBabababbb", "aaaabbaBaBaBabbbAbAb", "aaaabbbAAbababababbb"}, {"aaaaababaBBBababbabb", "aaaabbaBaBaBabbAbbAb", "aaaabbAbAbababababbb"}, {"aaaaababaBBBababbbab", "aaaabbaBaBaBabbAbAbb", "aaaabbAAbbababababbb"}, {"aaaaababaBBBabbababb", "aaaabbaBaBaBabAbbbAb", "aaaabAbbAbababababbb"}, {"aaaaababaBBBabbabbab", "aaaabbaBaBaBabAbbAbb", "aaaabAbAbbababababbb"}, {"aaaaababaBBBabbbabab", "aaaabbaBaBaBabAbAbbb", "aaaabAAbbbababababbb"}, {"aaaaababaBBBAbababbb", "aaaabbaBaBaBAbbbAbAb", "aaabbbABaaBBabababab"}, {"aaaaababaBBBAbabbabb", "aaaabbaBaBaBAbbAbbAb", "aaabbbABaBaBabababab"}, {"aaaaababaBBBAbabbbab", "aaaabbaBaBaBAbbAbAbb", "aaabbbABaBBaabababab"}, {"aaaaababaBBBAbbababb", "aaaabbaBaBaBAbAbbbAb", "aaabbbABBaaBabababab"}, {"aaaaababaBBBAbbabbab", "aaaabbaBaBaBAbAbbAbb", "aaabbbABBaBaabababab"}, {"aaaaababaBBBAbbbabab", "aaaabbaBaBaBAbAbAbbb", "aaababababaaabbbABBB"}, {"aaaaababaBBBABababbb", "aaaabbaBaBaBBabbAbAb", "aaabaBBAABaBaBaBaBBB"}, {"aaaaababaBBBABabbabb", "aaaabbaBaBaBBabAbbAb", "aaabaBABABaBaBaBaBBB"}, {"aaaaababaBBBABabbbab", "aaaabbaBaBaBBabAbAbb", "aaabaBAABBaBaBaBaBBB"}, {"aaaaababaBBBABAbabbb", "aaaabbaBaBaBBAbbAbAb", "aaabbbAABaBBabababab"}, {"aaaaababaBBBABAbbabb", "aaaabbaBaBaBBAbAbbAb", "aaabbbAABBaBabababab"}, {"aaaaababaBBBABAbbbab", "aaaabbaBaBaBBAbAbAbb", "aaabbbAABBBaabababab"}, {"aaaaababaBBBABABabbb", "aaaabbaBaBaBBBabAbAb", "aaabbaBAABaBaBaBaBBB"}, {"aaaaababaBBBABABAbbb", "aaaabbaBaBaBBBAbAbAb", "aaabbbAAABaBaBaBaBBB"}, {"aaaaababaBBBABABABBB", "aaaaabbaBaBaBBBBaBaB", "aaabababababbbaaaBBB"}, {"aaaaababaBBBABABBabb", "aaaabbaBaBaBBBaBabAb", "aaabbaaBABaBaBaBaBBB"}, {"aaaaababaBBBABABBAbb", "aaaabbaBaBaBBBaBAbAb", "aaabbabAABaBaBaBaBBB"}, {"aaaaababaBBBABABBABB", "aaaaabbaBaBaBBBaBBaB", "aaabbabaaBaBaBaBaBBB"}, {"aaaaababaBBBABABBBab", "aaaabbaBaBaBBBaBaBab", "aaabbaaaBBaBaBaBaBBB"}, {"aaaaababaBBBABABBBAb", "aaaabbaBaBaBBBaBaBAb", "aaabbaabABaBaBaBaBBB"}, {"aaaaababaBBBABABBBAB", "aaaaabbaBaBaBBBaBaBB", "aaabbaabaBaBaBaBaBBB"}, {"aaaaababaBBBABBababb", "aaaabbaBaBaBBaBabbAb", "aaabaaBBABaBaBaBaBBB"}, {"aaaaababaBBBABBabbab", "aaaabbaBaBaBBaBabAbb", "aaabaaBABBaBaBaBaBBB"}, {"aaaaababaBBBABBAbabb", "aaaabbaBaBaBBaBAbbAb", "aaababABABaBaBaBaBBB"}, {"aaaaababaBBBABBAbbab", "aaaabbaBaBaBBaBAbAbb", "aaababAABBaBaBaBaBBB"}, {"aaaaababaBBBABBABabb", "aaaabbaBaBaBBaBBabAb", "aaababaBABaBaBaBaBBB"}, {"aaaaababaBBBABBABAbb", "aaaabbaBaBaBBaBBAbAb", "aaababbAABaBaBaBaBBB"}, {"aaaaababaBBBABBABABB", "aaaaabbaBaBaBBaBBBaB", "aaababbaaBaBaBaBaBBB"}, {"aaaaababaBBBABBABBab", "aaaabbaBaBaBBaBBaBab", "aaababaaBBaBaBaBaBBB"}, {"aaaaababaBBBABBABBAb", "aaaabbaBaBaBBaBBaBAb", "aaabababABaBaBaBaBBB"}, {"aaaaababaBBBABBABBAB", "aaaaabbaBaBaBBaBBaBB", "aaabababaBaBaBaBaBBB"}, {"aaaaababaBBBABBBabab", "aaaabbaBaBaBBaBaBabb", "aaabaaaBBBaBaBaBaBBB"}, {"aaaaababaBBBABBBAbab", "aaaabbaBaBaBBaBaBAbb", "aaabaabABBaBaBaBaBBB"}, {"aaaaababaBBBABBBABab", "aaaabbaBaBaBBaBaBBab", "aaabaabaBBaBaBaBaBBB"}, {"aaaaababaBBBABBBABAb", "aaaabbaBaBaBBaBaBBAb", "aaabaabbABaBaBaBaBBB"}, {"aaaaababaBBBABBBABAB", "aaaaabbaBaBaBBaBaBBB", "aaabaabbaBaBaBaBaBBB"}, {"aaaaababaBBBBabababb", "aaaaabbbAbababababbb", "aaaabbaBaBaBaBabbbAb"}, {"aaaaababaBBBBababbab", "aaaaabbAbbababababbb", "aaaabbaBaBaBaBabbAbb"}, {"aaaaababaBBBBabbabab", "aaaaabAbbbababababbb", "aaaabbaBaBaBaBabAbbb"}, {"aaaaababaBBBBAbababb", "aaaabbaBaBaBaBAbbbAb", "aaaabABBABaBaBaBaBBB"}, {"aaaaababaBBBBAbabbab", "aaaabbaBaBaBaBAbbAbb", "aaaabABABBaBaBaBaBBB"}, {"aaaaababaBBBBAbbabab", "aaaabbaBaBaBaBAbAbbb", "aaaabAABBBaBaBaBaBBB"}, {"aaaaababaBBBBABababb", "aaaabaBBABaBaBaBaBBB", "aaaabbaBaBaBaBBabbAb"}, {"aaaaababaBBBBABabbab", "aaaabaBABBaBaBaBaBBB", "aaaabbaBaBaBaBBabAbb"}, {"aaaaababaBBBBABAbabb", "aaaabbaBaBaBaBBAbbAb", "aaaabbABABaBaBaBaBBB"}, {"aaaaababaBBBBABAbbab", "aaaabbaBaBaBaBBAbAbb", "aaaabbAABBaBaBaBaBBB"}, {"aaaaababaBBBBABABabb", "aaaabbaBaBaBaBBBabAb", "aaaabbaBABaBaBaBaBBB"}, {"aaaaababaBBBBABABAbb", "aaaabbaBaBaBaBBBAbAb", "aaaabbbAABaBaBaBaBBB"}, {"aaaaababaBBBBABABABB", "aaaaabbaBaBaBaBBBBaB", "aaaabbbaaBaBaBaBaBBB"}, {"aaaaababaBBBBABABBab", "aaaabbaaBBaBaBaBaBBB", "aaaabbaBaBaBaBBBaBab"}, {"aaaaababaBBBBABABBAb", "aaaabbabABaBaBaBaBBB", "aaaabbaBaBaBaBBBaBAb"}, {"aaaaababaBBBBABABBAB", "aaaaabbaBaBaBaBBBaBB", "aaaabbabaBaBaBaBaBBB"}, {"aaaaababaBBBBABBabab", "aaaabaaBBBaBaBaBaBBB", "aaaabbaBaBaBaBBaBabb"}, {"aaaaababaBBBBABBAbab", "aaaababABBaBaBaBaBBB", "aaaabbaBaBaBaBBaBAbb"}, {"aaaaababaBBBBABBABab", "aaaababaBBaBaBaBaBBB", "aaaabbaBaBaBaBBaBBab"}, {"aaaaababaBBBBABBABAb", "aaaababbABaBaBaBaBBB", "aaaabbaBaBaBaBBaBBAb"}, {"aaaaababaBBBBABBABAB", "aaaaabbaBaBaBaBBaBBB", "aaaababbaBaBaBaBaBBB"}, {"aaaaababaBBBBBAbabab", "aaaaabABBBaBaBaBaBBB", "aaaabbaBaBaBaBaBAbbb"}, {"aaaaababaBBBBBABabab", "aaaaabaBBBaBaBaBaBBB", "aaaabbaBaBaBaBaBBabb"}, {"aaaaababaBBBBBABAbab", "aaaaabbABBaBaBaBaBBB", "aaaabbaBaBaBaBaBBAbb"}, {"aaaaababbaabababbbbb", "aaaabbAbabbbAbAbAbAb", "aaaabAbAbAbAbbabAbbb"}, {"aaaaababbaababbabbbb", "aaaabbAbabbAbbAbAbAb", "aaabAbAbAbAbbabAbbab"}, {"aaaaababbaababbbabbb", "aaaabbAbabbAbAbbAbAb", "aabaabAbAbAbAbbabAbb"}, {"aaaaababbaababbbbabb", "aaaabbAbabbAbAbAbbAb", "aaababAbAbAbAbbabAbb"}, {"aaaaababbaababbbbbab", "aaaabbAbabbAbAbAbAbb", "aaaabbAbAbAbAbbabAbb"}, {"aaaaababbaabbababbbb", "aaaabbAbabAbbbAbAbAb", "aaabAbAbAbAbbabAbabb"}, {"aaaaababbaabbabbabbb", "aaaabbAbabAbbAbbAbAb", "aabaBabababbaBaBaBaB"}, {"aaaaababbaabbabbbabb", "aaaabbAbabAbbAbAbbAb", "aababAbAbAbAbbabAbab"}, {"aaaaababbaabbabbbbab", "aaaabbAbabAbbAbAbAbb", "aaabbAbAbAbAbbabAbab"}, {"aaaaababbaabbbababbb", "aaaabbAbabAbAbbbAbAb", "aabaBabbaabbaBaBaBaB"}, {"aaaaababbaabbbabbabb", "aaaabbAbabAbAbbAbbAb", "aabababAbAbAbAbbabAb"}, {"aaaaababbaabbbabbbab", "aaaabbAbabAbAbbAbAbb", "aabaabbAbAbAbAbbabAb"}, {"aaaaababbaabbbbababb", "aaaabbAbabAbAbAbbbAb", "aaabbabAbAbAbAbbabAb"}, {"aaaaababbaabbbbabbab", "aaaabbAbabAbAbAbbAbb", "aaababbAbAbAbAbbabAb"}, {"aaaaababbabaababbbbb", "aaaabbAbbabbAbAbAbAb", "aaaabAbAbAbAbbabbAbb"}, {"aaaaababbabaabbabbbb", "aaaabbAbbabAbbAbAbAb", "aaabAbAbAbAbbabbAbab"}, {"aaaaababbabaabbbabbb", "aaaabbAbbabAbAbbAbAb", "aabaabAbAbAbAbbabbAb"}, {"aaaaababbabaabbbbabb", "aaaabbAbbabAbAbAbbAb", "aaababAbAbAbAbbabbAb"}, {"aaaaababbabaabbbbbab", "aaaabbAbbabAbAbAbAbb", "aaaabbAbAbAbAbbabbAb"}, {"aaaaababbababaabbbbb", "aaaabbAbbbabAbAbAbAb", "aaaabAbAbAbAbbabbbAb"}, {"aaaaababbabababbaBBB", "aaaaabbAbbbbAbaBaBaB", "aaaabababababbAbbbAb"}, {"aaaaababbabababbbaBB", "aaaaabbAbbbbAbAbaBaB", "aaabababababbAbbbAAb"}, {"aaaaababbabababbbbaB", "aaaaabbAbbbbAbAbAbaB", "aaabbbaBBaBaBaBaBaab"}, {"aaaaababbabababbbbAb", "aaaababababbaBBBBaab", "aaaabaBABABABABBaBBB"}, {"aaaaababbabababbbbAB", "aaaaabbAbbbbAbAbAbAB", "aaaabABABABABABBaBBB"}, {"aaaaababbabababbbAbb", "aaaabababbabaBBBBaab", "aaabaaBABABABABBaBBB"}, {"aaaaababbabababbbABB", "aaaaabbAbbbbAbAbABaB", "aaabbbABBaBaBaBaBaab"}, {"aaaaababbabababbAbbb", "aaaababbababaBBBBaab", "aaabbAbbbaBaBaBaBaab"}, {"aaaaababbabababbABBB", "aaaaabbAbbbbAbABaBaB", "aaabababababbAbbbAAB"}, {"aaaaababbabababAbbbb", "aaaabbabababaBBBBaab", "aaaabAbAbAbAbbabbbaB"}, {"aaaaababbabababABBBB", "aaaaabbAbbbbABaBaBaB", "aaaabababababbAbbbAB"}, {"aaaaababbababaBabbbb", "aaaabbAbbbaBabAbAbAb", "aaabbaBBBababababaaB"}, {"aaaaababbababaBAbbbb", "aaaabbAbbbaBAbAbAbAb", "aaaabAbAbAbAbbabbbAB"}, {"aaaaababbababaBABBBB", "aaaaabbAbbbaBBaBaBaB", "aaaabababababbAbbbaB"}, {"aaaaababbababaBBabbb", "aaaabbAbbbaBaBabAbAb", "aaabbbaBBababababaaB"}, {"aaaaababbababaBBAbbb", "aaaabbAbbbaBaBAbAbAb", "aaabbABBBababababaaB"}, {"aaaaababbababaBBABBB", "aaaaabbAbbbaBaBBaBaB", "aaabababababbAbbbaaB"}, {"aaaaababbababaBBBabb", "aaaabbAbbbaBaBaBabAb", "aaaabAbababababbAbbb"}, {"aaaaababbababaBBBAbb", "aaaabbAbbbaBaBaBAbAb", "aaabbbABBababababaaB"}, {"aaaaababbababaBBBABB", "aaaaabbAbbbaBaBaBBaB", "aaabaaBaBaBaBaBBABBB"}, {"aaaaababbababaBBBBab", "aaaaabbababababbAbbb", "aaaabbAbbbaBaBaBaBab"}, {"aaaaababbababaBBBBAb", "aaaabbAbbbaBaBaBaBAb", "aaaabABaBaBaBaBBABBB"}, {"aaaaababbababaBBBBAB", "aaaaabbAbbbaBaBaBaBB", "aaaabaBaBaBaBaBBABBB"}, {"aaaaababbababbaabbbb", "aaaabbAbbbAbabAbAbAb", "aaabAbAbAbAbbabbabAb"}, {"aaaaababbababbabaBBB", "aaaaabbAbbbAbbaBaBaB", "aaaabababababbAbbAbb"}, {"aaaaababbababbabbaBB", "aaaaabbAbbbAbbAbaBaB", "aaabababababbAbbAbAb"}, {"aaaaababbababbabbbaB", "aaaaabbAbbbAbbAbAbaB", "aabaababbaBBaBaBaBaB"}, {"aaaaababbababbabbbAb", "aaaabbAbbbAbbAbAbAAb", "aaabaBABABABABBaBBaB"}, {"aaaaababbababbabbbAB", "aaaaabbAbbbAbbAbAbAB", "aaabABABABABABBaBBaB"}, {"aaaaababbababbabbAbb", "aaaabbAbbbAbbAbAAbAb", "aabaababbAbbaBaBaBaB"}, {"aaaaababbababbabbABB", "aaaaabbAbbbAbbAbABaB", "aabaababbABBaBaBaBaB"}, {"aaaaababbababbabAbbb", "aaaabbAbbbAbbAAbAbAb", "aaabAbAbAbAbbabbabaB"}, {"aaaaababbababbabABBB", "aaaaabbAbbbAbbABaBaB", "aaabababababbAbbAbAB"}, {"aaaaababbababbaBabbb", "aaaabbAbbbAbaBabAbAb", "aabaabaBBabbaBaBaBaB"}, {"aaaaababbababbaBAbbb", "aaaabbAbbbAbaBAbAbAb", "aaabAbAbAbAbbabbabAB"}, {"aaaaababbababbaBABBB", "aaaaabbAbbbAbaBBaBaB", "aaabababababbAbbAbaB"}, {"aaaaababbababbaBBabb", "aaaabbAbbbAbaBaBabAb", "aaabAbababababbAbbAb"}, {"aaaaababbababbaBBAbb", "aaaabbAbbbAbaBaBAbAb", "aabaabaBBAbbaBaBaBaB"}, {"aaaaababbababbaBBABB", "aaaaabbAbbbAbaBaBBaB", "aabaabaBBABBaBaBaBaB"}, {"aaaaababbababbaBBBab", "aaaabbababababbAbbAb", "aaaabbAbbbAbaBaBaBab"}, {"aaaaababbababbaBBBAb", "aaaabbAbbbAbaBaBaBAb", "aaabABaBaBaBaBBABBAB"}, {"aaaaababbababbaBBBAB", "aaaaabbAbbbAbaBaBaBB", "aaabaBaBaBaBaBBABBAB"}, {"aaaaababbababbbaabbb", "aaaabbAbbbAbAbabAbAb", "aabaabbaBabbaBaBaBaB"}, {"aaaaababbababbbabaBB", "aaaaabbAbbbAbAbbaBaB", "aaabababababbAbbAAbb"}, {"aaaaababbababbbabbaB", "aaaaabbAbbbAbAbbAbaB", "aabaabbabaBBaBaBaBaB"}, {"aaaaababbababbbabbAb", "aaaabbAbbbAbAbbAbAAb", "aabaabbabbAbaBaBaBaB"}, {"aaaaababbababbbabbAB", "aaaaabbAbbbAbAbbAbAB", "aabaabbabbABaBaBaBaB"}, {"aaaaababbababbbabAbb", "aaaabbAbbbAbAbbAAbAb", "aabaabbabAbbaBaBaBaB"}, {"aaaaababbababbbabABB", "aaaaabbAbbbAbAbbABaB", "aabaabbabABBaBaBaBaB"}, {"aaaaababbababbbaBabb", "aaaabbAbbbAbAbaBabAb", "aabaabbaBBabaBaBaBaB"}, {"aaaaababbababbbaBAbb", "aaaabbAbbbAbAbaBAbAb", "aabaabbaBAbbaBaBaBaB"}, {"aaaaababbababbbaBABB", "aaaaabbAbbbAbAbaBBaB", "aabaabbaBABBaBaBaBaB"}, {"aaaaababbababbbaBBab", "aaaabbAbbbAbAbaBaBab", "aaabbababababbAbbAAb"}, {"aaaaababbababbbaBBAb", "aaaabbAbbbAbAbaBaBAb", "aabaabbaBBAbaBaBaBaB"}, {"aaaaababbababbbaBBAB", "aaaaabbAbbbAbAbaBaBB", "aabaabbaBBABaBaBaBaB"}, {"aaaaababbababbbbaabb", "aaaabbAbbbAbAbAbabAb", "aaabAbabAbAbAbAbbabb"}, {"aaaaababbababbbbabaB", "aaaaabbAbbbAbAbAbbaB", "aaabbAAbAbAbAbAbbabb"}, {"aaaaababbababbbbabAb", "aaaabbAbbbAbAbAbbAAb", "aaabaBabAbAbAbAbbabb"}, {"aaaaababbababbbbabAB", "aaaaabbAbbbAbAbAbbAB", "aaabaBAbAbAbAbAbbabb"}, {"aaaaababbababbbbaBab", "aaaabbAbbbAbAbAbaBab", "aaabAAbbAbAbAbAbbabb"}, {"aaaaababbababbbbaBAb", "aaaabbAbbbAbAbAbaBAb", "aaabABabAbAbAbAbbabb"}, {"aaaaababbababbbbaBAB", "aaaaabbAbbbAbAbAbaBB", "aaabABAbAbAbAbAbbabb"}, {"aaaaababbababbbbbaab", "aaaabbAbbbAbAbAbAbab", "aaaabAbbAbAbAbAbbabb"}, {"aaaaababbababbbbAbab", "aaaabaBBABABABABBaBB", "aaaabbAbbbAbAbAbAAbb"}, {"aaaaababbababbbbABab", "aaaabbAbbbAbAbAbABab", "aaaabABBABABABABBaBB"}, {"aaaaababbababbbbABAb", "aaaabbaBABABABABBaBB", "aaaabbAbbbAbAbAbABAb"}, {"aaaaababbababbbbABAB", "aaaaabbAbbbAbAbAbABB", "aaaabbABABABABABBaBB"}, {"aaaaababbababbbAbabb", "aaaabbAbbbAbAbAAbbAb", "aaabaBaBABABABABBaBB"}, {"aaaaababbababbbAbbab", "aaaabbAbbbAbAbAAbAbb", "aaabaaBBABABABABBaBB"}, {"aaaaababbababbbABabb", "aaaabbAbbbAbAbABabAb", "aaabABaBABABABABBaBB"}, {"aaaaababbababbbABAbb", "aaaabbAbbbAbAbABAbAb", "aaabbaaBABABABABBaBB"}, {"aaaaababbababbbABABB", "aaaaabbAbbbAbAbABBaB", "aaabbAABABABABABBaBB"}, {"aaaaababbababbbABBab", "aaaabbAbbbAbAbABaBab", "aaabAABBABABABABBaBB"}, {"aaaaababbababbbABBAb", "aaaabbAbbbAbAbABaBAb", "aaabAbaBABABABABBaBB"}, {"aaaaababbababbbABBAB", "aaaaabbAbbbAbAbABaBB", "aaabAbABABABABABBaBB"}, {"aaaaababbababbAbabbb", "aaaabbAbbbAbAAbbAbAb", "aabaabbAbabbaBaBaBaB"}, {"aaaaababbababbAbbabb", "aaaabbAbbbAbAAbAbbAb", "aabaabbAbbabaBaBaBaB"}, {"aaaaababbababbAbbbab", "aaaabbAbbbAbAAbAbAbb", "aaabbAbAbAbAbbabbaaB"}, {"aaaaababbababbABabbb", "aaaabbAbbbAbABabAbAb", "aabaabbABabbaBaBaBaB"}, {"aaaaababbababbABAbbb", "aaaabbAbbbAbABAbAbAb", "aaabAbAbAbAbbabbaaBB"}, {"aaaaababbababbABABBB", "aaaaabbAbbbAbABBaBaB", "aaabababababbAbbAABB"}, {"aaaaababbababbABBabb", "aaaabbAbbbAbABaBabAb", "aabaabbABBabaBaBaBaB"}, {"aaaaababbababbABBAbb", "aaaabbAbbbAbABaBAbAb", "aabaabbABAbbaBaBaBaB"}, {"aaaaababbababbABBABB", "aaaaabbAbbbAbABaBBaB", "aabaabbABABBaBaBaBaB"}, {"aaaaababbababbABBBab", "aaaabbAbbbAbABaBaBab", "aaabbababababbAbbAAB"}, {"aaaaababbababbABBBAb", "aaaabbAbbbAbABaBaBAb", "aabaabbABBAbaBaBaBaB"}, {"aaaaababbababbABBBAB", "aaaaabbAbbbAbABaBaBB", "aabaabbABBABaBaBaBaB"}, {"aaaaababbababAbabbbb", "aaaabbAbbbAAbbAbAbAb", "aaabAbAbAbAbbabbaBab"}, {"aaaaababbababAbbabbb", "aaaabbAbbbAAbAbbAbAb", "aabaabAbbabbaBaBaBaB"}, {"aaaaababbababAbbbabb", "aaaabbAbbbAAbAbAbbAb", "aaababAbAbAbAbbabbaB"}, {"aaaaababbababAbbbbab", "aaaabbAbbbAAbAbAbAbb", "aaaabbAbAbAbAbbabbaB"}, {"aaaaababbababABabbbb", "aaaabbAbbbABabAbAbAb", "aaabAbAbAbAbbabbaBAb"}, {"aaaaababbababABAbbbb", "aaaabbAbbbABAbAbAbAb", "aaaabAbAbAbAbbabbaBB"}, {"aaaaababbababABABBBB", "aaaaabbAbbbABBaBaBaB", "aaaabababababbAbbABB"}, {"aaaaababbababABBabbb", "aaaabbAbbbABaBabAbAb", "aabaabABBabbaBaBaBaB"}, {"aaaaababbababABBAbbb", "aaaabbAbbbABaBAbAbAb", "aaabAbAbAbAbbabbaBAB"}, {"aaaaababbababABBABBB", "aaaaabbAbbbABaBBaBaB", "aaabababababbAbbABaB"}, {"aaaaababbababABBBabb", "aaaabbAbbbABaBaBabAb", "aaabAbababababbAbbAB"}, {"aaaaababbababABBBAbb", "aaaabbAbbbABaBaBAbAb", "aabaabABBAbbaBaBaBaB"}, {"aaaaababbababABBBABB", "aaaaabbAbbbABaBaBBaB", "aabaabABBABBaBaBaBaB"}, {"aaaaababbababABBBBab", "aaaabbababababbAbbAB", "aaaabbAbbbABaBaBaBab"}, {"aaaaababbababABBBBAb", "aaaabbAbbbABaBaBaBAb", "aaabABaBaBaBaBBABBAb"}, {"aaaaababbababABBBBAB", "aaaaabbAbbbABaBaBaBB", "aaabaBaBaBaBaBBABBAb"}, {"aaaaababbabaBababbbb", "aaaabbAbbaBabbAbAbAb", "aaabAbAbAbAbbabbAAbb"}, {"aaaaababbabaBabbabbb", "aaaabbAbbaBabAbbAbAb", "aabaaBBababbaBaBaBaB"}, {"aaaaababbabaBabbbabb", "aaaabbAbbaBabAbAbbAb", "aabaaBBabbabaBaBaBaB"}, {"aaaaababbabaBabbbbab", "aaaabbAbbaBabAbAbAbb", "aaabbAbAbAbAbbabbAAb"}, {"aaaaababbabaBAbabbbb", "aaaabbAbbaBAbbAbAbAb", "aaabAbAbAbAbbabbABab"}, {"aaaaababbabaBAbbabbb", "aaaabbAbbaBAbAbbAbAb", "aabaabAbAbAbAbbabbAB"}, {"aaaaababbabaBAbbbabb", "aaaabbAbbaBAbAbAbbAb", "aaababAbAbAbAbbabbAB"}, {"aaaaababbabaBAbbbbab", "aaaabbAbbaBAbAbAbAbb", "aaaabbAbAbAbAbbabbAB"}, {"aaaaababbabaBABabbbb", "aaaabbAbbaBBabAbAbAb", "aaabAbAbAbAbbabbABAb"}, {"aaaaababbabaBABAbbbb", "aaaabbAbbaBBAbAbAbAb", "aaaabAbAbAbAbbabbABB"}, {"aaaaababbabaBABABBBB", "aaaaabbAbbaBBBaBaBaB", "aaaabababababbAbbaBB"}, {"aaaaababbabaBABBabbb", "aaaabbAbbaBBaBabAbAb", "aabaaBABBabbaBaBaBaB"}, {"aaaaababbabaBABBAbbb", "aaaabbAbbaBBaBAbAbAb", "aaabAbAbAbAbbabbABAB"}, {"aaaaababbabaBABBABBB", "aaaaabbAbbaBBaBBaBaB", "aaabababababbAbbaBaB"}, {"aaaaababbabaBABBBabb", "aaaabbAbbaBBaBaBabAb", "aaabAbababababbAbbaB"}, {"aaaaababbabaBABBBAbb", "aaaabbAbbaBBaBaBAbAb", "aabaaBABBAbbaBaBaBaB"}, {"aaaaababbabaBABBBABB", "aaaaabbAbbaBBaBaBBaB", "aabaaBaBaBaBaBBABBab"}, {"aaaaababbabaBABBBBab", "aaaabbababababbAbbaB", "aaaabbAbbaBBaBaBaBab"}, {"aaaaababbabaBABBBBAb", "aaaabbAbbaBBaBaBaBAb", "aaabABaBaBaBaBBABBab"}, {"aaaaababbabaBABBBBAB", "aaaaabbAbbaBBaBaBaBB", "aaabaBaBaBaBaBBABBab"}, {"aaaaababbabaBBababbb", "aaaabbAbbaBaBabbAbAb", "aaabbAAbababababbAbb"}, {"aaaaababbabaBBabbabb", "aaaabbAbbaBaBabAbbAb", "aaabAbAbababababbAbb"}, {"aaaaababbabaBBabbbab", "aaaabbAbbaBaBabAbAbb", "aaabAAbbababababbAbb"}, {"aaaaababbabaBBAbabbb", "aaaabbAbbaBaBAbbAbAb", "aabaaBBAbabbaBaBaBaB"}, {"aaaaababbabaBBAbbabb", "aaaabbAbbaBaBAbAbbAb", "aabaaBBAbbabaBaBaBaB"}, {"aaaaababbabaBBAbbbab", "aaaabbAbbaBaBAbAbAbb", "aaabbAbAbAbAbbabbAAB"}, {"aaaaababbabaBBABabbb", "aaaabbAbbaBaBBabAbAb", "aabaaBBABabbaBaBaBaB"}, {"aaaaababbabaBBABAbbb", "aaaabbAbbaBaBBAbAbAb", "aaabAbAbAbAbbabbAABB"}, {"aaaaababbabaBBABABBB", "aaaaabbAbbaBaBBBaBaB", "aaabababababbAbbaaBB"}, {"aaaaababbabaBBABBabb", "aaaabbAbbaBaBBaBabAb", "aabaaBABaBaBaBaBBABB"}, {"aaaaababbabaBBABBAbb", "aaaabbAbbaBaBBaBAbAb", "aabaaBBABAbbaBaBaBaB"}, {"aaaaababbabaBBABBABB", "aaaaabbAbbaBaBBaBBaB", "aabaaBBABABBaBaBaBaB"}, {"aaaaababbabaBBABBBab", "aaaabbAbbaBaBBaBaBab", "aaabbababababbAbbaaB"}, {"aaaaababbabaBBABBBAb", "aaaabbAbbaBaBBaBaBAb", "aabaabABaBaBaBaBBABB"}, {"aaaaababbabaBBABBBAB", "aaaaabbAbbaBaBBaBaBB", "aabaabaBaBaBaBaBBABB"}, {"aaaaababbabaBBBababb", "aaaabbAbababababbAbb", "aaaabbAbbaBaBaBabbAb"}, {"aaaaababbabaBBBabbab", "aaaabbAbbaBaBaBabAbb", "aaaabAbbababababbAbb"}, {"aaaaababbabaBBBAbabb", "aaaabbAbbaBaBaBAbbAb", "aaabABABaBaBaBaBBABB"}, {"aaaaababbabaBBBAbbab", "aaaabbAbbaBaBaBAbAbb", "aaabAABBaBaBaBaBBABB"}, {"aaaaababbabaBBBABabb", "aaaabbAbbaBaBaBBabAb", "aaabaBABaBaBaBaBBABB"}, {"aaaaababbabaBBBABAbb", "aaaabbAbbaBaBaBBAbAb", "aaabbAABaBaBaBaBBABB"}, {"aaaaababbabaBBBABABB", "aaaaabbAbbaBaBaBBBaB", "aaabbaaBaBaBaBaBBABB"}, {"aaaaababbabaBBBABBab", "aaaabbAbbaBaBaBBaBab", "aaabaaBBaBaBaBaBBABB"}, {"aaaaababbabaBBBABBAb", "aaaabbAbbaBaBaBBaBAb", "aaababABaBaBaBaBBABB"}, {"aaaaababbabaBBBABBAB", "aaaaabbAbbaBaBaBBaBB", "aaababaBaBaBaBaBBABB"}, {"aaaaababbabaBBBBabab", "aaaaabbbababababbAbb", "aaaabbAbbaBaBaBaBabb"}, {"aaaaababbabaBBBBAbab", "aaaabbAbbaBaBaBaBAbb", "aaaabABBaBaBaBaBBABB"}, {"aaaaababbabaBBBBABab", "aaaabaBBaBaBaBaBBABB", "aaaabbAbbaBaBaBaBBab"}, {"aaaaababbabaBBBBABAb", "aaaabbAbbaBaBaBaBBAb", "aaaabbABaBaBaBaBBABB"}, {"aaaaababbabaBBBBABAB", "aaaaabbAbbaBaBaBaBBB", "aaaabbaBaBaBaBaBBABB"}, {"aaaaababbabbaababbbb", "aaaabbAbbAbabbAbAbAb", "aaabAbAbAbAbbababAbb"}, {"aaaaababbabbaabbabbb", "aaaabbAbbAbabAbbAbAb", "aababaBababbaBaBaBaB"}, {"aaaaababbabbaabbbabb", "aaaabbAbbAbabAbAbbAb", "aababaBabbabaBaBaBaB"}, {"aaaaababbabbaabbbbab", "aaaabbAbbAbabAbAbAbb", "aaabbAbAbAbAbbababAb"}, {"aaaaababbabbabaabbbb", "aaaabbAbbAbbabAbAbAb", "aaabAbAbAbAbbababbAb"}, {"aaaaababbabbababaBBB", "aaaaabbAbbAbbbaBaBaB", "aaaabababababbAbAbbb"}, {"aaaaababbabbababbaBB", "aaaaabbAbbAbbbAbaBaB", "aaabababababbAbAbbAb"}, {"aaaaababbabbababbbaB", "aaaaabbAbbAbbbAbAbaB", "aababaabbaBBaBaBaBaB"}, {"aaaaababbabbababbbAb", "aaaabbAbbAbbbAbAbAAb", "aaabaBABABABABBaBaBB"}, {"aaaaababbabbababbbAB", "aaaaabbAbbAbbbAbAbAB", "aaabABABABABABBaBaBB"}, {"aaaaababbabbababbAbb", "aaaabbAbbAbbbAbAAbAb", "aabaaBABABABABBaBaBB"}, {"aaaaababbabbababbABB", "aaaaabbAbbAbbbAbABaB", "aababaabbABBaBaBaBaB"}, {"aaaaababbabbababAbbb", "aaaabbAbbAbbbAAbAbAb", "aaabAbAbAbAbbababbaB"}, {"aaaaababbabbababABBB", "aaaaabbAbbAbbbABaBaB", "aaabababababbAbAbbAB"}, {"aaaaababbabbabaBabbb", "aaaabbAbbAbbaBabAbAb", "aababaaBBabbaBaBaBaB"}, {"aaaaababbabbabaBAbbb", "aaaabbAbbAbbaBAbAbAb", "aaabAbAbAbAbbababbAB"}, {"aaaaababbabbabaBABBB", "aaaaabbAbbAbbaBBaBaB", "aaabababababbAbAbbaB"}, {"aaaaababbabbabaBBabb", "aaaabbAbbAbbaBaBabAb", "aaabAbababababbAbAbb"}, {"aaaaababbabbabaBBAbb", "aaaabbAbbAbbaBaBAbAb", "aababaaBBAbbaBaBaBaB"}, {"aaaaababbabbabaBBABB", "aaaaabbAbbAbbaBaBBaB", "aabaaBaBaBaBaBBABABB"}, {"aaaaababbabbabaBBBab", "aaaabbababababbAbAbb", "aaaabbAbbAbbaBaBaBab"}, {"aaaaababbabbabaBBBAb", "aaaabbAbbAbbaBaBaBAb", "aaabABaBaBaBaBBABABB"}, {"aaaaababbabbabaBBBAB", "aaaaabbAbbAbbaBaBaBB", "aaabaBaBaBaBaBBABABB"}, {"aaaaababbabbabbaabbb", "aaaabbAbbAbbAbabAbAb", "aabababaBabbaBaBaBaB"}, {"aaaaababbabbabbabaBB", "aaaaabbAbbAbbAbbaBaB", "aaabababababbAbAbAbb"}, {"aaaaababbabbabbabbaB", "aaaaabbAbbAbbAbbAbaB", "aabababababbAbAbAbAb"}, {"aaaaababbabbabbabbAb", "aaaabbAbbAbbAbbAbAAb", "aababababbAbaBaBaBaB"}, {"aaaaababbabbabbabbAB", "aaaaabbAbbAbbAbbAbAB", "aababababbABaBaBaBaB"}, {"aaaaababbabbabbabAbb", "aaaabbAbbAbbAbbAAbAb", "aababababAbbaBaBaBaB"}, {"aaaaababbabbabbabABB", "aaaaabbAbbAbbAbbABaB", "aabababababbAbAbAbAB"}, {"aaaaababbabbabbaBabb", "aaaabbAbbAbbAbaBabAb", "aabababaBBabaBaBaBaB"}, {"aaaaababbabbabbaBAbb", "aaaabbAbbAbbAbaBAbAb", "aabababaBAbbaBaBaBaB"}, {"aaaaababbabbabbaBABB", "aaaaabbAbbAbbAbaBBaB", "aabababababbAbAbAbaB"}, {"aaaaababbabbabbaBBab", "aaaabbAbbAbbAbaBaBab", "aaabbababababbAbAbAb"}, {"aaaaababbabbabbaBBAb", "aaaabbAbbAbbAbaBaBAb", "aabababaBBAbaBaBaBaB"}, {"aaaaababbabbabbaBBAB", "aaaaabbAbbAbbAbaBaBB", "aabababaBBABaBaBaBaB"}, {"aaaaababbabbabbbaabb", "aaaabbAbbAbbAbAbabAb", "aabababbaBabaBaBaBaB"}, {"aaaaababbabbabbbabaB", "aaaaabbAbbAbbAbAbbaB", "aabababababbAbAbAAbb"}, {"aaaaababbabbabbbabAb", "aaaabbAbbAbbAbAbbAAb", "aabababbabAbaBaBaBaB"}, {"aaaaababbabbabbbabAB", "aaaaabbAbbAbbAbAbbAB", "aabababbabABaBaBaBaB"}, {"aaaaababbabbabbbaBab", "aaaabbAbbAbbAbAbaBab", "aababababaaBaBaBBabb"}, {"aaaaababbabbabbbaBAb", "aaaabbAbbAbbAbAbaBAb", "aabababbaBAbaBaBaBaB"}, {"aaaaababbabbabbbaBAB", "aaaaabbAbbAbbAbAbaBB", "aabababbaBABaBaBaBaB"}, {"aaaaababbabbabbbbaab", "aaaabbAbbAbbAbAbAbab", "aaabAbbAbAbAbAbbabab"}, {"aaaaababbabbabbbAbab", "aaaabbAbbAbbAbAbAAbb", "aaabaBBABABABABBaBaB"}, {"aaaaababbabbabbbABab", "aaaabbAbbAbbAbAbABab", "aaabABBABABABABBaBaB"}, {"aaaaababbabbabbbABAb", "aaaabbAbbAbbAbAbABAb", "aaabbaBABABABABBaBaB"}, {"aaaaababbabbabbbABAB", "aaaaabbAbbAbbAbAbABB", "aaabbABABABABABBaBaB"}, {"aaaaababbabbabbAbabb", "aaaabbAbbAbbAbAAbbAb", "aabababbAbabaBaBaBaB"}, {"aaaaababbabbabbAbbab", "aaaabbAbbAbbAbAAbAbb", "aabaaBBABABABABBaBaB"}, {"aaaaababbabbabbABabb", "aaaabbAbbAbbAbABabAb", "aabababbABabaBaBaBaB"}, {"aaaaababbabbabbABAbb", "aaaabbAbbAbbAbABAbAb", "aabababbAAbbaBaBaBaB"}, {"aaaaababbabbabbABABB", "aaaaabbAbbAbbAbABBaB", "aabababababbAbAbAABB"}, {"aaaaababbabbabbABBab", "aaaabbAbbAbbAbABaBab", "aababababaaBaBaBBAbb"}, {"aaaaababbabbabbABBAb", "aaaabbAbbAbbAbABaBAb", "aabababbABAbaBaBaBaB"}, {"aaaaababbabbabbABBAB", "aaaaabbAbbAbbAbABaBB", "aabababbABABaBaBaBaB"}, {"aaaaababbabbabAbabbb", "aaaabbAbbAbbAAbbAbAb", "aabababAbabbaBaBaBaB"}, {"aaaaababbabbabAbbabb", "aaaabbAbbAbbAAbAbbAb", "aabababAbbabaBaBaBaB"}, {"aaaaababbabbabAbbbab", "aaaabbAbbAbbAAbAbAbb", "aaabbAbAbAbAbbababaB"}, {"aaaaababbabbabABabbb", "aaaabbAbbAbbABabAbAb", "aabababABabbaBaBaBaB"}, {"aaaaababbabbabABAbbb", "aaaabbAbbAbbABAbAbAb", "aaabAbAbAbAbbababaBB"}, {"aaaaababbabbabABABBB", "aaaaabbAbbAbbABBaBaB", "aaabababababbAbAbABB"}, {"aaaaababbabbabABBabb", "aaaabbAbbAbbABaBabAb", "aabababABBabaBaBaBaB"}, {"aaaaababbabbabABBAbb", "aaaabbAbbAbbABaBAbAb", "aabababABAbbaBaBaBaB"}, {"aaaaababbabbabABBABB", "aaaaabbAbbAbbABaBBaB", "aabababababbAbAbABaB"}, {"aaaaababbabbabABBBab", "aaaabbAbbAbbABaBaBab", "aaabbababababbAbAbAB"}, {"aaaaababbabbabABBBAb", "aaaabbAbbAbbABaBaBAb", "aabababABBAbaBaBaBaB"}, {"aaaaababbabbabABBBAB", "aaaaabbAbbAbbABaBaBB", "aabababABBABaBaBaBaB"}, {"aaaaababbabbaBababbb", "aaaabbAbbAbaBabbAbAb", "aababaBBaabbaBaBaBaB"}, {"aaaaababbabbaBabbabb", "aaaabbAbbAbaBabAbbAb", "aababaBBababaBaBaBaB"}, {"aaaaababbabbaBabbbab", "aaaabbAbbAbaBabAbAbb", "aababababaaBaBabbaBB"}, {"aaaaababbabbaBAbabbb", "aaaabbAbbAbaBAbbAbAb", "aababaBAbabbaBaBaBaB"}, {"aaaaababbabbaBAbbabb", "aaaabbAbbAbaBAbAbbAb", "aababaBAbbabaBaBaBaB"}, {"aaaaababbabbaBAbbbab", "aaaabbAbbAbaBAbAbAbb", "aaabbAbAbAbAbbababAB"}, {"aaaaababbabbaBABabbb", "aaaabbAbbAbaBBabAbAb", "aababaBABabbaBaBaBaB"}, {"aaaaababbabbaBABAbbb", "aaaabbAbbAbaBBAbAbAb", "aaabAbAbAbAbbababABB"}, {"aaaaababbabbaBABABBB", "aaaaabbAbbAbaBBBaBaB", "aaabababababbAbAbaBB"}, {"aaaaababbabbaBABBabb", "aaaabbAbbAbaBBaBabAb", "aababaBABBabaBaBaBaB"}, {"aaaaababbabbaBABBAbb", "aaaabbAbbAbaBBaBAbAb", "aababaBABAbbaBaBaBaB"}, {"aaaaababbabbaBABBABB", "aaaaabbAbbAbaBBaBBaB", "aabababababbAbAbaBaB"}, {"aaaaababbabbaBABBBab", "aaaabbAbbAbaBBaBaBab", "aaabbababababbAbAbaB"}, {"aaaaababbabbaBABBBAb", "aaaabbAbbAbaBBaBaBAb", "aababaBABBAbaBaBaBaB"}, {"aaaaababbabbaBABBBAB", "aaaaabbAbbAbaBBaBaBB", "aababaBABBABaBaBaBaB"}, {"aaaaababbabbaBBababb", "aaaabbAbbAbaBaBabbAb", "aaabbAbababababbAbAb"}, {"aaaaababbabbaBBabbab", "aaaabbAbbAbaBaBabAbb", "aaabAbbababababbAbAb"}, {"aaaaababbabbaBBAbabb", "aaaabbAbbAbaBaBAbbAb", "aababaBBAbabaBaBaBaB"}, {"aaaaababbabbaBBAbbab", "aaaabbAbbAbaBaBAbAbb", "aababababaaBaBabbABB"}, {"aaaaababbabbaBBABabb", "aaaabbAbbAbaBaBBabAb", "aababaBBABabaBaBaBaB"}, {"aaaaababbabbaBBABAbb", "aaaabbAbbAbaBaBBAbAb", "aababaBBAAbbaBaBaBaB"}, {"aaaaababbabbaBBABABB", "aaaaabbAbbAbaBaBBBaB", "aabababababbAbAbaaBB"}, {"aaaaababbabbaBBABBab", "aaaabbAbbAbaBaBBaBab", "aabaaBBaBaBaBaBBABAB"}, {"aaaaababbabbaBBABBAb", "aaaabbAbbAbaBaBBaBAb", "aababaBBABAbaBaBaBaB"}, {"aaaaababbabbaBBABBAB", "aaaaabbAbbAbaBaBBaBB", "aababaBaBaBaBaBBABAB"}, {"aaaaababbabbaBBBabab", "aaaabbbababababbAbAb", "aaaabbAbbAbaBaBaBabb"}, {"aaaaababbabbaBBBAbab", "aaaabbAbbAbaBaBaBAbb", "aaabABBaBaBaBaBBABAB"}, {"aaaaababbabbaBBBABab", "aaaabbAbbAbaBaBaBBab", "aaabaBBaBaBaBaBBABAB"}, {"aaaaababbabbaBBBABAb", "aaaabbAbbAbaBaBaBBAb", "aaabbABaBaBaBaBBABAB"}, {"aaaaababbabbaBBBABAB", "aaaaabbAbbAbaBaBaBBB", "aaabbaBaBaBaBaBBABAB"}, {"aaaaababbabbbaababbb", "aaaabbAbbAbAbabbAbAb", "aababbaBaabbaBaBaBaB"}, {"aaaaababbabbbaabbabb", "aaaabbAbbAbAbabAbbAb", "aababbaBababaBaBaBaB"}, {"aaaaababbabbbaabbbab", "aaaabbAbbAbAbabAbAbb", "aababababaaBaBBabaBB"}, {"aaaaababbabbbabaabbb", "aaaabbAbbAbAbbabAbAb", "aababbaaBabbaBaBaBaB"}, {"aaaaababbabbbababaBB", "aaaaabbAbbAbAbbbaBaB", "aaabababababbAbAAbbb"}, {"aaaaababbabbbababbaB", "aaaaabbAbbAbAbbbAbaB", "aabababababbAbAAbbAb"}, {"aaaaababbabbbababbAb", "aaaabbAbbAbAbbbAbAAb", "aababbaabbAbaBaBaBaB"}, {"aaaaababbabbbababbAB", "aaaaabbAbbAbAbbbAbAB", "aababbaabbABaBaBaBaB"}, {"aaaaababbabbbababAbb", "aaaabbAbbAbAbbbAAbAb", "aababbaabAbbaBaBaBaB"}, {"aaaaababbabbbababABB", "aaaaabbAbbAbAbbbABaB", "aabababababbAbAAbbAB"}, {"aaaaababbabbbabaBabb", "aaaabbAbbAbAbbaBabAb", "aababbaaBBabaBaBaBaB"}, {"aaaaababbabbbabaBAbb", "aaaabbAbbAbAbbaBAbAb", "aababbaaBAbbaBaBaBaB"}, {"aaaaababbabbbabaBABB", "aaaaabbAbbAbAbbaBBaB", "aabababababbAbAAbbaB"}, {"aaaaababbabbbabaBBab", "aaaabbAbbAbAbbaBaBab", "aaabbababababbAbAAbb"}, {"aaaaababbabbbabaBBAb", "aaaabbAbbAbAbbaBaBAb", "aababbaaBBAbaBaBaBaB"}, {"aaaaababbabbbabaBBAB", "aaaaabbAbbAbAbbaBaBB", "aababbaaBBABaBaBaBaB"}, {"aaaaababbabbbabbaabb", "aaaabbAbbAbAbbAbabAb", "aababbabaBabaBaBaBaB"}, {"aaaaababbabbbabbabaB", "aaaaabbAbbAbAbbAbbaB", "aabababababbAbAAbAbb"}, {"aaaaababbabbbabbabAb", "aaaabbAbbAbAbbAbbAAb", "aababaBabAbAbAbAbbab"}, {"aaaaababbabbbabbabAB", "aaaaabbAbbAbAbbAbbAB", "aababaBAbAbAbAbAbbab"}, {"aaaaababbabbbabbaBab", "aaaabbAbbAbAbbAbaBab", "aababababaaBaBBaBabb"}, {"aaaaababbabbbabbaBAb", "aaaabbAbbAbAbbAbaBAb", "aababbabaBAbaBaBaBaB"}, {"aaaaababbabbbabbaBAB", "aaaaabbAbbAbAbbAbaBB", "aababbabaBABaBaBaBaB"}, {"aaaaababbabbbabbbaab", "aaaabbAbbAbAbbAbAbab", "aabaabAbbAbAbAbAbbab"}, {"aaaaababbabbbabbAbab", "aaaabbAbbAbAbbAbAAbb", "aabaaBabbAbAbAbAbbab"}, {"aaaaababbabbbabbABab", "aaaabbAbbAbAbbAbABab", "aabaaBAbbAbAbAbAbbab"}, {"aaaaababbabbbabbABAb", "aaaabbAbbAbAbbAbABAb", "aabaaBBabAbAbAbAbbab"}, {"aaaaababbabbbabbABAB", "aaaaabbAbbAbAbbAbABB", "aabaaBBAbAbAbAbAbbab"}, {"aaaaababbabbbabAbabb", "aaaabbAbbAbAbbAAbbAb", "aababbabAbabaBaBaBaB"}, {"aaaaababbabbbabAbbab", "aaaabbAbbAbAbbAAbAbb", "aababababaaBaBBaBABB"}, {"aaaaababbabbbabABabb", "aaaabbAbbAbAbbABabAb", "aababbabABabaBaBaBaB"}, {"aaaaababbabbbabABAbb", "aaaabbAbbAbAbbABAbAb", "aababbabAAbbaBaBaBaB"}, {"aaaaababbabbbabABABB", "aaaaabbAbbAbAbbABBaB", "aabababababbAbAAbABB"}, {"aaaaababbabbbabABBab", "aaaabbAbbAbAbbABaBab", "aababababaaBaBBaBAbb"}, {"aaaaababbabbbabABBAb", "aaaabbAbbAbAbbABaBAb", "aababbabABAbaBaBaBaB"}, {"aaaaababbabbbabABBAB", "aaaaabbAbbAbAbbABaBB", "aababbabABABaBaBaBaB"}, {"aaaaababbabbbaBababb", "aaaabbAbbAbAbaBabbAb", "aababbaBBaabaBaBaBaB"}, {"aaaaababbabbbaBabbab", "aaaabbAbbAbAbaBabAbb", "aababababaaBaBBabbaB"}, {"aaaaababbabbbaBAbabb", "aaaabbAbbAbAbaBAbbAb", "aababbaBAbabaBaBaBaB"}, {"aaaaababbabbbaBAbbab", "aaaabbAbbAbAbaBAbAbb", "aababababaaBaBBabABB"}, {"aaaaababbabbbaBABabb", "aaaabbAbbAbAbaBBabAb", "aababbaBABabaBaBaBaB"}, {"aaaaababbabbbaBABAbb", "aaaabbAbbAbAbaBBAbAb", "aababbaBAAbbaBaBaBaB"}, {"aaaaababbabbbaBABABB", "aaaaabbAbbAbAbaBBBaB", "aabababababbAbAAbaBB"}, {"aaaaababbabbbaBABBab", "aaaabbAbbAbAbaBBaBab", "aababababaaBaBBabAbb"}, {"aaaaababbabbbaBABBAb", "aaaabbAbbAbAbaBBaBAb", "aababbaBABAbaBaBaBaB"}, {"aaaaababbabbbaBABBAB", "aaaaabbAbbAbAbaBBaBB", "aababbaBABABaBaBaBaB"}, {"aaaaababbabbbaBBabab", "aaaabbAbbAbAbaBaBabb", "aaababababaaBaBBabbb"}, {"aaaaababbabbbaBBAbab", "aaaabbAbbAbAbaBaBAbb", "aababababaaBaBBabbAB"}, {"aaaaababbabbbaBBABab", "aaaabbAbbAbAbaBaBBab", "aababababaaBaBBabbAb"}, {"aaaaababbabbbaBBABAb", "aaaabbAbbAbAbaBaBBAb", "aababbaBBAAbaBaBaBaB"}, {"aaaaababbabbbaBBABAB", "aaaaabbAbbAbAbaBaBBB", "aababbaBBAABaBaBaBaB"}, {"aaaaababbabbbbaababb", "aaaabbAbbAbAbAbabbAb", "aaabAbbabAbAbAbAbbab"}, {"aaaaababbabbbbaabbab", "aaaabbAbbAbAbAbabAbb", "aaabAbabbAbAbAbAbbab"}, {"aaaaababbabbbbabaabb", "aaaabbAbbAbAbAbbabAb", "aaabbAbabAbAbAbAbbab"}, {"aaaaababbabbbbababaB", "aaaaabbAbbAbAbAbbbaB", "aaabbababababaaBaBBB"}, {"aaaaababbabbbbababAb", "aaaabbAbbAbAbAbbbAAb", "aaabbaBabAbAbAbAbbab"}, {"aaaaababbabbbbababAB", "aaaaabbAbbAbAbAbbbAB", "aaabbaBAbAbAbAbAbbab"}, {"aaaaababbabbbbabaBab", "aaaabbAbbAbAbAbbaBab", "aaabbAAbbAbAbAbAbbab"}, {"aaaaababbabbbbabaBAb", "aaaabbAbbAbAbAbbaBAb", "aaabbABabAbAbAbAbbab"}, {"aaaaababbabbbbabaBAB", "aaaaabbAbbAbAbAbbaBB", "aaabbABAbAbAbAbAbbab"}, {"aaaaababbabbbbabbaab", "aaaabbAbbAbAbAbbAbab", "aaababAbbAbAbAbAbbab"}, {"aaaaababbabbbbabAbab", "aaaabbAbbAbAbAbbAAbb", "aaabaBabbAbAbAbAbbab"}, {"aaaaababbabbbbabABab", "aaaabbAbbAbAbAbbABab", "aaabaBAbbAbAbAbAbbab"}, {"aaaaababbabbbbabABAb", "aaaabbAbbAbAbAbbABAb", "aaabaBBabAbAbAbAbbab"}, {"aaaaababbabbbbabABAB", "aaaaabbAbbAbAbAbbABB", "aaabaBBAbAbAbAbAbbab"}, {"aaaaababbabbbbaBabab", "aaaabbAbbAbAbAbaBabb", "aaababababaaBaBBBabb"}, {"aaaaababbabbbbaBAbab", "aaaabbAbbAbAbAbaBAbb", "aaabABabbAbAbAbAbbab"}, {"aaaaababbabbbbaBABab", "aaaabbAbbAbAbAbaBBab", "aaabABAbbAbAbAbAbbab"}, {"aaaaababbabbbbaBABAb", "aaaabbAbbAbAbAbaBBAb", "aaabABBabAbAbAbAbbab"}, {"aaaaababbabbbbaBABAB", "aaaaabbAbbAbAbAbaBBB", "aaabABBAbAbAbAbAbbab"}, {"aaaaababbabbbbbaabab", "aaaabbAbbAbAbAbAbabb", "aaaabAbbbAbAbAbAbbab"}, {"aaaaababbabbbbAbabab", "aaaabaBBBABABABABBaB", "aaaabbAbbAbAbAbAAbbb"}, {"aaaaababbabbbbABabab", "aaaabbAbbAbAbAbABabb", "aaaabABBBABABABABBaB"}, {"aaaaababbabbbbABAbab", "aaaabbaBBABABABABBaB", "aaaabbAbbAbAbAbABAbb"}, {"aaaaababbabbbbABABab", "aaaabbAbbAbAbAbABBab", "aaaabbABBABABABABBaB"}, {"aaaaababbabbbbABABAb", "aaaabbbaBABABABABBaB", "aaaabbAbbAbAbAbABBAb"}, {"aaaaababbabbbbABABAB", "aaaaabbAbbAbAbAbABBB", "aaaabbbABABABABABBaB"}, {"aaaaababbabbbAbababb", "aaaabbAbbAbAbAAbbbAb", "aaabaBBaBABABABABBaB"}, {"aaaaababbabbbAbabbab", "aaaabbAbbAbAbAAbbAbb", "aaabaBaBBABABABABBaB"}, {"aaaaababbabbbAbbabab", "aaaabbAbbAbAbAAbAbbb", "aaabaaBBBABABABABBaB"}, {"aaaaababbabbbABababb", "aaaabbAbbAbAbABabbAb", "aaabABBaBABABABABBaB"}, {"aaaaababbabbbABabbab", "aaaabbAbbAbAbABabAbb", "aaabABaBBABABABABBaB"}, {"aaaaababbabbbABAbabb", "aaaabbAbbAbAbABAbbAb", "aaabbaBaBABABABABBaB"}, {"aaaaababbabbbABAbbab", "aaaabbAbbAbAbABAbAbb", "aaabbaaBBABABABABBaB"}, {"aaaaababbabbbABABabb", "aaaabbAbbAbAbABBabAb", "aaabbABaBABABABABBaB"}, {"aaaaababbabbbABABAbb", "aaaabbAbbAbAbABBAbAb", "aaabbbaaBABABABABBaB"}, {"aaaaababbabbbABABABB", "aaaaabbAbbAbAbABBBaB", "aaabbbAABABABABABBaB"}, {"aaaaababbabbbABABBab", "aaaabbAbbAbAbABBaBab", "aaabbAABBABABABABBaB"}, {"aaaaababbabbbABABBAb", "aaaabbAbbAbAbABBaBAb", "aaabbAbaBABABABABBaB"}, {"aaaaababbabbbABABBAB", "aaaaabbAbbAbAbABBaBB", "aaabbAbABABABABABBaB"}, {"aaaaababbabbbABBabab", "aaaabbAbbAbAbABaBabb", "aaababababaaBaBBBAbb"}, {"aaaaababbabbbABBAbab", "aaaabbAbbAbAbABaBAbb", "aaabAbaBBABABABABBaB"}, {"aaaaababbabbbABBABab", "aaaabbAbbAbAbABaBBab", "aaabAbABBABABABABBaB"}, {"aaaaababbabbbABBABAb", "aaaabbAbbAbAbABaBBAb", "aaabAbbaBABABABABBaB"}, {"aaaaababbabbbABBABAB", "aaaaabbAbbAbAbABaBBB", "aaabAbbABABABABABBaB"}, {"aaaaababbabbAbababbb", "aaaabbAbbAbAAbbbAbAb", "aababbAbaabbaBaBaBaB"}, {"aaaaababbabbAbabbabb", "aaaabbAbbAbAAbbAbbAb", "aababbAbababaBaBaBaB"}, {"aaaaababbabbAbabbbab", "aaaabbAbbAbAAbbAbAbb", "aababababaaBaBBABaBB"}, {"aaaaababbabbAbbababb", "aaaabbAbbAbAAbAbbbAb", "aabaaBBaBABABABABBaB"}, {"aaaaababbabbAbbabbab", "aaaabbAbbAbAAbAbbAbb", "aabaaBaBBABABABABBaB"}, {"aaaaababbabbAbbbabab", "aaaabbAbbAbAAbAbAbbb", "aaababababaaBaBBABBB"}, {"aaaaababbabbABababbb", "aaaabbAbbAbABabbAbAb", "aababbABaabbaBaBaBaB"}, {"aaaaababbabbABabbabb", "aaaabbAbbAbABabAbbAb", "aababbABababaBaBaBaB"}, {"aaaaababbabbABabbbab", "aaaabbAbbAbABabAbAbb", "aababababaaBaBBAbaBB"}, {"aaaaababbabbABAbabbb", "aaaabbAbbAbABAbbAbAb", "aababbAAbabbaBaBaBaB"}, {"aaaaababbabbABAbbabb", "aaaabbAbbAbABAbAbbAb", "aababbAAbbabaBaBaBaB"}, {"aaaaababbabbABAbbbab", "aaaabbAbbAbABAbAbAbb", "aaabbAbAbAbAbbabaaBB"}, {"aaaaababbabbABABabbb", "aaaabbAbbAbABBabAbAb", "aababbAABabbaBaBaBaB"}, {"aaaaababbabbABABAbbb", "aaaabbAbbAbABBAbAbAb", "aaabbbABABABABAAbAbb"}, {"aaaaababbabbABABABBB", "aaaaabbAbbAbABBBaBaB", "aaabababababbAbAABBB"}, {"aaaaababbabbABABBabb", "aaaabbAbbAbABBaBabAb", "aababbAABBabaBaBaBaB"}, {"aaaaababbabbABABBAbb", "aaaabbAbbAbABBaBAbAb", "aababbAABAbbaBaBaBaB"}, {"aaaaababbabbABABBABB", "aaaaabbAbbAbABBaBBaB", "aabababababbAbAABBaB"}, {"aaaaababbabbABABBBab", "aaaabbAbbAbABBaBaBab", "aaabbababababbAbAABB"}, {"aaaaababbabbABABBBAb", "aaaabbAbbAbABBaBaBAb", "aababbAABBAbaBaBaBaB"}, {"aaaaababbabbABABBBAB", "aaaaabbAbbAbABBaBaBB", "aababbAABBABaBaBaBaB"}, {"aaaaababbabbABBababb", "aaaabbAbbAbABaBabbAb", "aababbABBaabaBaBaBaB"}, {"aaaaababbabbABBabbab", "aaaabbAbbAbABaBabAbb", "aababababaaBaBBAbbaB"}, {"aaaaababbabbABBAbabb", "aaaabbAbbAbABaBAbbAb", "aababbABAbabaBaBaBaB"}, {"aaaaababbabbABBAbbab", "aaaabbAbbAbABaBAbAbb", "aababababaaBaBBAbABB"}, {"aaaaababbabbABBABabb", "aaaabbAbbAbABaBBabAb", "aababbABABabaBaBaBaB"}, {"aaaaababbabbABBABAbb", "aaaabbAbbAbABaBBAbAb", "aababbABAAbbaBaBaBaB"}, {"aaaaababbabbABBABABB", "aaaaabbAbbAbABaBBBaB", "aabababababbAbAABaBB"}, {"aaaaababbabbABBABBab", "aaaabbAbbAbABaBBaBab", "aababababaaBaBBAbAbb"}, {"aaaaababbabbABBABBAb", "aaaabbAbbAbABaBBaBAb", "aababbABABAbaBaBaBaB"}, {"aaaaababbabbABBABBAB", "aaaaabbAbbAbABaBBaBB", "aababbABABABaBaBaBaB"}, {"aaaaababbabbABBBabab", "aaaabbAbbAbABaBaBabb", "aaababababaaBaBBAbbb"}, {"aaaaababbabbABBBAbab", "aaaabbAbbAbABaBaBAbb", "aababababaaBaBBAbbAB"}, {"aaaaababbabbABBBABab", "aaaabbAbbAbABaBaBBab", "aababababaaBaBBAbbAb"}, {"aaaaababbabbABBBABAb", "aaaabbAbbAbABaBaBBAb", "aababbABBAAbaBaBaBaB"}, {"aaaaababbabbABBBABAB", "aaaaabbAbbAbABaBaBBB", "aababbABBAABaBaBaBaB"}, {"aaaaababbabAbababbbb", "aaaabbAbbAAbbbAbAbAb", "aaabAbAbAbAbbabaBabb"}, {"aaaaababbabAbabbabbb", "aaaabbAbbAAbbAbbAbAb", "aababAbababbaBaBaBaB"}, {"aaaaababbabAbabbbabb", "aaaabbAbbAAbbAbAbbAb", "aababAbabbabaBaBaBaB"}, {"aaaaababbabAbabbbbab", "aaaabbAbbAAbbAbAbAbb", "aaabbAbAbAbAbbabaBab"}, {"aaaaababbabAbbababbb", "aaaabbAbbAAbAbbbAbAb", "aababAbbaabbaBaBaBaB"}, {"aaaaababbabAbbabbabb", "aaaabbAbbAAbAbbAbbAb", "aabababAbAbAbAbbabaB"}, {"aaaaababbabAbbabbbab", "aaaabbAbbAAbAbbAbAbb", "aabaabbAbAbAbAbbabaB"}, {"aaaaababbabAbbbababb", "aaaabbAbbAAbAbAbbbAb", "aaabbabAbAbAbAbbabaB"}, {"aaaaababbabAbbbabbab", "aaaabbAbbAAbAbAbbAbb", "aaababbAbAbAbAbbabaB"}, {"aaaaababbabAbbbbabab", "aaaabbbAbAbAbAbbabaB", "aaaabbAbbAAbAbAbAbbb"}, {"aaaaababbabABababbbb", "aaaabbAbbABabbAbAbAb", "aaabAbAbAbAbbabaBAbb"}, {"aaaaababbabABabbabbb", "aaaabbAbbABabAbbAbAb", "aababABababbaBaBaBaB"}, {"aaaaababbabABabbbabb", "aaaabbAbbABabAbAbbAb", "aababAbAbAbAbbabaBAb"}, {"aaaaababbabABabbbbab", "aaaabbAbbABabAbAbAbb", "aaabbAbAbAbAbbabaBAb"}, {"aaaaababbabABAbabbbb", "aaaabbAbbABAbbAbAbAb", "aaabAbAbAbAbbabaBBab"}, {"aaaaababbabABAbbabbb", "aaaabbAbbABAbAbbAbAb", "aabaabAbAbAbAbbabaBB"}, {"aaaaababbabABAbbbabb", "aaaabbAbbABAbAbAbbAb", "aaababAbAbAbAbbabaBB"}, {"aaaaababbabABAbbbbab", "aaaabbAbbABAbAbAbAbb", "aaaabbAbAbAbAbbabaBB"}, {"aaaaababbabABABabbbb", "aaaabbAbbABBabAbAbAb", "aaabAbAbAbAbbabaBBAb"}, {"aaaaababbabABABAbbbb", "aaaabbAbbABBAbAbAbAb", "aaaabAbAbAbAbbabaBBB"}, {"aaaaababbabABABABBBB", "aaaaabbAbbABBBaBaBaB", "aaaabababababbAbABBB"}, {"aaaaababbabABABBabbb", "aaaabbAbbABBaBabAbAb", "aababAABBabbaBaBaBaB"}, {"aaaaababbabABABBAbbb", "aaaabbAbbABBaBAbAbAb", "aaabAbAbAbAbbabaBBAB"}, {"aaaaababbabABABBABBB", "aaaaabbAbbABBaBBaBaB", "aaabababababbAbABBaB"}, {"aaaaababbabABABBBabb", "aaaabbAbbABBaBaBabAb", "aaabAbababababbAbABB"}, {"aaaaababbabABABBBAbb", "aaaabbAbbABBaBaBAbAb", "aababAABBAbbaBaBaBaB"}, {"aaaaababbabABABBBABB", "aaaaabbAbbABBaBaBBaB", "aabaaBaBaBaBaBBABAbb"}, {"aaaaababbabABABBBBab", "aaaabbababababbAbABB", "aaaabbAbbABBaBaBaBab"}, {"aaaaababbabABABBBBAb", "aaaabbAbbABBaBaBaBAb", "aaabABaBaBaBaBBABAbb"}, {"aaaaababbabABABBBBAB", "aaaaabbAbbABBaBaBaBB", "aaabaBaBaBaBaBBABAbb"}, {"aaaaababbabABBababbb", "aaaabbAbbABaBabbAbAb", "aababABBaabbaBaBaBaB"}, {"aaaaababbabABBabbabb", "aaaabbAbbABaBabAbbAb", "aababABBababaBaBaBaB"}, {"aaaaababbabABBabbbab", "aaaabbAbbABaBabAbAbb", "aababababaaBaBAbbaBB"}, {"aaaaababbabABBAbabbb", "aaaabbAbbABaBAbbAbAb", "aababABAbabbaBaBaBaB"}, {"aaaaababbabABBAbbabb", "aaaabbAbbABaBAbAbbAb", "aababAbAbAbAbbabaBAB"}, {"aaaaababbabABBAbbbab", "aaaabbAbbABaBAbAbAbb", "aaabbAbAbAbAbbabaBAB"}, {"aaaaababbabABBABabbb", "aaaabbAbbABaBBabAbAb", "aababABABabbaBaBaBaB"}, {"aaaaababbabABBABAbbb", "aaaabbAbbABaBBAbAbAb", "aaabAbAbAbAbbabaBABB"}, {"aaaaababbabABBABABBB", "aaaaabbAbbABaBBBaBaB", "aaabababababbAbABaBB"}, {"aaaaababbabABBABBabb", "aaaabbAbbABaBBaBabAb", "aababABABBabaBaBaBaB"}, {"aaaaababbabABBABBAbb", "aaaabbAbbABaBBaBAbAb", "aababABABAbbaBaBaBaB"}, {"aaaaababbabABBABBABB", "aaaaabbAbbABaBBaBBaB", "aabababababbAbABaBaB"}, {"aaaaababbabABBABBBab", "aaaabbAbbABaBBaBaBab", "aaabbababababbAbABaB"}, {"aaaaababbabABBABBBAb", "aaaabbAbbABaBBaBaBAb", "aababABABBAbaBaBaBaB"}, {"aaaaababbabABBABBBAB", "aaaaabbAbbABaBBaBaBB", "aababABABBABaBaBaBaB"}, {"aaaaababbabABBBababb", "aaaabbAbbABaBaBabbAb", "aaabbAbababababbAbAB"}, {"aaaaababbabABBBabbab", "aaaabbAbbABaBaBabAbb", "aaabAbbababababbAbAB"}, {"aaaaababbabABBBAbabb", "aaaabbAbbABaBaBAbbAb", "aababABBAbabaBaBaBaB"}, {"aaaaababbabABBBAbbab", "aaaabbAbbABaBaBAbAbb", "aababababaaBaBAbbABB"}, {"aaaaababbabABBBABabb", "aaaabbAbbABaBaBBabAb", "aababABBABabaBaBaBaB"}, {"aaaaababbabABBBABAbb", "aaaabbAbbABaBaBBAbAb", "aababABBAAbbaBaBaBaB"}, {"aaaaababbabABBBABABB", "aaaaabbAbbABaBaBBBaB", "aabababababbAbABaaBB"}, {"aaaaababbabABBBABBab", "aaaabbAbbABaBaBBaBab", "aabaaBBaBaBaBaBBABAb"}, {"aaaaababbabABBBABBAb", "aaaabbAbbABaBaBBaBAb", "aababABaBaBaBaBBABAb"}, {"aaaaababbabABBBABBAB", "aaaaabbAbbABaBaBBaBB", "aababaBaBaBaBaBBABAb"}, {"aaaaababbabABBBBabab", "aaaabbbababababbAbAB", "aaaabbAbbABaBaBaBabb"}, {"aaaaababbabABBBBAbab", "aaaabbAbbABaBaBaBAbb", "aaabABBaBaBaBaBBABAb"}, {"aaaaababbabABBBBABab", "aaaabbAbbABaBaBaBBab", "aaabaBBaBaBaBaBBABAb"}, {"aaaaababbabABBBBABAb", "aaaabbAbbABaBaBaBBAb", "aaabbABaBaBaBaBBABAb"}, {"aaaaababbabABBBBABAB", "aaaaabbAbbABaBaBaBBB", "aaabbaBaBaBaBaBBABAb"}, {"aaaaababbaBabababbbb", "aaaabbAbaBabbbAbAbAb", "aaabbbaBaBaBaBaabaBB"}, {"aaaaababbaBababbabbb", "aaaabbAbaBabbAbbAbAb", "aababbaBaBaBaBaabaBB"}, {"aaaaababbaBababbbabb", "aaaabbAbaBabbAbAbbAb", "aababAbAbAbAbbabAAbb"}, {"aaaaababbaBababbbbab", "aaaabbAbaBabbAbAbAbb", "aaabbAbAbAbAbbabAAbb"}, {"aaaaababbaBabbababbb", "aaaabbAbaBabAbbbAbAb", "aabaBBabaabbaBaBaBaB"}, {"aaaaababbaBabbabbabb", "aaaabbAbaBabAbbAbbAb", "aabaBBabababaBaBaBaB"}, {"aaaaababbaBabbabbbab", "aaaabbAbaBabAbbAbAbb", "aababababaaBabbaBaBB"}, {"aaaaababbaBabbbababb", "aaaabbAbaBabAbAbbbAb", "aabaBaBaBaBaabaBBabb"}, {"aaaaababbaBabbbabbab", "aaaabbAbaBabAbAbbAbb", "aababababaaBabbaBBaB"}, {"aaaaababbaBabbbbabab", "aaaabbAbaBabAbAbAbbb", "aaababababaaBabbaBBB"}, {"aaaaababbaBAbababbbb", "aaaabbAbaBAbbbAbAbAb", "aaabAbAbAbAbbabABabb"}, {"aaaaababbaBAbabbabbb", "aaaabbAbaBAbbAbbAbAb", "aabaBAbababbaBaBaBaB"}, {"aaaaababbaBAbabbbabb", "aaaabbAbaBAbbAbAbbAb", "aababAbAbAbAbbabABab"}, {"aaaaababbaBAbabbbbab", "aaaabbAbaBAbbAbAbAbb", "aaabbAbAbAbAbbabABab"}, {"aaaaababbaBAbbababbb", "aaaabbAbaBAbAbbbAbAb", "aabaBAbbaabbaBaBaBaB"}, {"aaaaababbaBAbbabbabb", "aaaabbAbaBAbAbbAbbAb", "aabababAbAbAbAbbabAB"}, {"aaaaababbaBAbbabbbab", "aaaabbAbaBAbAbbAbAbb", "aabaabbAbAbAbAbbabAB"}, {"aaaaababbaBAbbbababb", "aaaabbAbaBAbAbAbbbAb", "aaabbabAbAbAbAbbabAB"}, {"aaaaababbaBAbbbabbab", "aaaabbAbaBAbAbAbbAbb", "aaababbAbAbAbAbbabAB"}, {"aaaaababbaBAbbbbabab", "aaaabbbAbAbAbAbbabAB", "aaaabbAbaBAbAbAbAbbb"}, {"aaaaababbaBABababbbb", "aaaabbAbaBBabbAbAbAb", "aaabAbAbAbAbbabABAbb"}, {"aaaaababbaBABabbabbb", "aaaabbAbaBBabAbbAbAb", "aabaBABababbaBaBaBaB"}, {"aaaaababbaBABabbbabb", "aaaabbAbaBBabAbAbbAb", "aababAbAbAbAbbabABAb"}, {"aaaaababbaBABabbbbab", "aaaabbAbaBBabAbAbAbb", "aaabbAbAbAbAbbabABAb"}, {"aaaaababbaBABAbabbbb", "aaaabbAbaBBAbbAbAbAb", "aaabAbAbAbAbbabABBab"}, {"aaaaababbaBABAbbabbb", "aaaabbAbaBBAbAbbAbAb", "aabaabAbAbAbAbbabABB"}, {"aaaaababbaBABAbbbabb", "aaaabbAbaBBAbAbAbbAb", "aaababAbAbAbAbbabABB"}, {"aaaaababbaBABAbbbbab", "aaaabbAbaBBAbAbAbAbb", "aaaabbAbAbAbAbbabABB"}, {"aaaaababbaBABABabbbb", "aaaabbAbaBBBabAbAbAb", "aaabAbAbAbAbbabABBAb"}, {"aaaaababbaBABABAbbbb", "aaaabbAbaBBBAbAbAbAb", "aaaabAbAbAbAbbabABBB"}, {"aaaaababbaBABABABBBB", "aaaaabbAbaBBBBaBaBaB", "aaaabababababbAbaBBB"}, {"aaaaababbaBABABBabbb", "aaaabbAbaBBBaBabAbAb", "aabaBAABBabbaBaBaBaB"}, {"aaaaababbaBABABBAbbb", "aaaabbAbaBBBaBAbAbAb", "aaabAbAbAbAbbabABBAB"}, {"aaaaababbaBABABBABBB", "aaaaabbAbaBBBaBBaBaB", "aaabababababbAbaBBaB"}, {"aaaaababbaBABABBBabb", "aaaabbAbaBBBaBaBabAb", "aaabAbababababbAbaBB"}, {"aaaaababbaBABABBBAbb", "aaaabbAbaBBBaBaBAbAb", "aabaBAABBAbbaBaBaBaB"}, {"aaaaababbaBABABBBABB", "aaaaabbAbaBBBaBaBBaB", "aabaaBaBaBaBaBBABabb"}, {"aaaaababbaBABABBBBab", "aaaabbababababbAbaBB", "aaaabbAbaBBBaBaBaBab"}, {"aaaaababbaBABABBBBAb", "aaaabbAbaBBBaBaBaBAb", "aaabABaBaBaBaBBABabb"}, {"aaaaababbaBABABBBBAB", "aaaaabbAbaBBBaBaBaBB", "aaabaBaBaBaBaBBABabb"}, {"aaaaababbaBABBababbb", "aaaabbAbaBBaBabbAbAb", "aabaBABBaabbaBaBaBaB"}, {"aaaaababbaBABBabbabb", "aaaabbAbaBBaBabAbbAb", "aabaBABBababaBaBaBaB"}, {"aaaaababbaBABBabbbab", "aaaabbAbaBBaBabAbAbb", "aababababaaBabAbbaBB"}, {"aaaaababbaBABBAbabbb", "aaaabbAbaBBaBAbbAbAb", "aabaBABAbabbaBaBaBaB"}, {"aaaaababbaBABBAbbabb", "aaaabbAbaBBaBAbAbbAb", "aababAbAbAbAbbabABAB"}, {"aaaaababbaBABBAbbbab", "aaaabbAbaBBaBAbAbAbb", "aaabbAbAbAbAbbabABAB"}, {"aaaaababbaBABBABabbb", "aaaabbAbaBBaBBabAbAb", "aabaBABABabbaBaBaBaB"}, {"aaaaababbaBABBABAbbb", "aaaabbAbaBBaBBAbAbAb", "aaabAbAbAbAbbabABABB"}, {"aaaaababbaBABBABABBB", "aaaaabbAbaBBaBBBaBaB", "aaabababababbAbaBaBB"}, {"aaaaababbaBABBABBabb", "aaaabbAbaBBaBBaBabAb", "aabaBABABBabaBaBaBaB"}, {"aaaaababbaBABBABBAbb", "aaaabbAbaBBaBBaBAbAb", "aabaBABABAbbaBaBaBaB"}, {"aaaaababbaBABBABBABB", "aaaaabbAbaBBaBBaBBaB", "aabababababbAbaBaBaB"}, {"aaaaababbaBABBABBBab", "aaaabbAbaBBaBBaBaBab", "aaabbababababbAbaBaB"}, {"aaaaababbaBABBABBBAb", "aaaabbAbaBBaBBaBaBAb", "aabaBABABBAbaBaBaBaB"}, {"aaaaababbaBABBABBBAB", "aaaaabbAbaBBaBBaBaBB", "aabaBaBaBaBaBBABabab"}, {"aaaaababbaBABBBababb", "aaaabbAbaBBaBaBabbAb", "aaabbAbababababbAbaB"}, {"aaaaababbaBABBBabbab", "aaaabbAbaBBaBaBabAbb", "aaabAbbababababbAbaB"}, {"aaaaababbaBABBBAbabb", "aaaabbAbaBBaBaBAbbAb", "aabaBABBAbabaBaBaBaB"}, {"aaaaababbaBABBBAbbab", "aaaabbAbaBBaBaBAbAbb", "aababababaaBabAbbABB"}, {"aaaaababbaBABBBABabb", "aaaabbAbaBBaBaBBabAb", "aabaBABaBaBaBaBBABab"}, {"aaaaababbaBABBBABAbb", "aaaabbAbaBBaBaBBAbAb", "aabaBABBAAbbaBaBaBaB"}, {"aaaaababbaBABBBABABB", "aaaaabbAbaBBaBaBBBaB", "aabababababbAbaBaaBB"}, {"aaaaababbaBABBBABBab", "aaaabbAbaBBaBaBBaBab", "aabaaBBaBaBaBaBBABab"}, {"aaaaababbaBABBBABBAb", "aaaabbAbaBBaBaBBaBAb", "aababABaBaBaBaBBABab"}, {"aaaaababbaBABBBABBAB", "aaaaabbAbaBBaBaBBaBB", "aababaBaBaBaBaBBABab"}, {"aaaaababbaBABBBBabab", "aaaabbbababababbAbaB", "aaaabbAbaBBaBaBaBabb"}, {"aaaaababbaBABBBBAbab", "aaaabbAbaBBaBaBaBAbb", "aaabABBaBaBaBaBBABab"}, {"aaaaababbaBABBBBABab", "aaaabbAbaBBaBaBaBBab", "aaabaBBaBaBaBaBBABab"}, {"aaaaababbaBABBBBABAb", "aaaabbAbaBBaBaBaBBAb", "aaabbABaBaBaBaBBABab"}, {"aaaaababbaBABBBBABAB", "aaaaabbAbaBBaBaBaBBB", "aaabbaBaBaBaBaBBABab"}, {"aaaaababbaBBabababbb", "aaaabbAbaBaBabbbAbAb", "aaabbaBaBaBaBaabaBBB"}, {"aaaaababbaBBababbabb", "aaaabbAbaBaBabbAbbAb", "aaabbAbAbababababbAb"}, {"aaaaababbaBBababbbab", "aaaabbAbaBaBabbAbAbb", "aaabbAAbbababababbAb"}, {"aaaaababbaBBabbababb", "aaaabbAbaBaBabAbbbAb", "aaabAbbAbababababbAb"}, {"aaaaababbaBBabbabbab", "aaaabbAbaBaBabAbbAbb", "aaabAbAbbababababbAb"}, {"aaaaababbaBBabbbabab", "aaaabbAbaBaBabAbAbbb", "aaababababaaBabbbaBB"}, {"aaaaababbaBBAbababbb", "aaaabbAbaBaBAbbbAbAb", "aabaBBAbaabbaBaBaBaB"}, {"aaaaababbaBBAbabbabb", "aaaabbAbaBaBAbbAbbAb", "aabaBBAbababaBaBaBaB"}, {"aaaaababbaBBAbabbbab", "aaaabbAbaBaBAbbAbAbb", "aababababaaBabbABaBB"}, {"aaaaababbaBBAbbababb", "aaaabbAbaBaBAbAbbbAb", "aabaBaBaBaBaabaBBAbb"}, {"aaaaababbaBBAbbabbab", "aaaabbAbaBaBAbAbbAbb", "aababababaaBabbABBaB"}, {"aaaaababbaBBAbbbabab", "aaaabbAbaBaBAbAbAbbb", "aaababababaaBabbABBB"}, {"aaaaababbaBBABababbb", "aaaabbAbaBaBBabbAbAb", "aabaBBAABaBaBaBaBBAB"}, {"aaaaababbaBBABabbabb", "aaaabbAbaBaBBabAbbAb", "aabaBABABaBaBaBaBBAB"}, {"aaaaababbaBBABabbbab", "aaaabbAbaBaBBabAbAbb", "aababababaaBabbAbaBB"}, {"aaaaababbaBBABAbabbb", "aaaabbAbaBaBBAbbAbAb", "aabaBBAAbabbaBaBaBaB"}, {"aaaaababbaBBABAbbabb", "aaaabbAbaBaBBAbAbbAb", "aababAbAbAbAbbabAABB"}, {"aaaaababbaBBABAbbbab", "aaaabbAbaBaBBAbAbAbb", "aaabbAbAbAbAbbabAABB"}, {"aaaaababbaBBABABabbb", "aaaabbAbaBaBBBabAbAb", "aabaBBAABabbaBaBaBaB"}, {"aaaaababbaBBABABAbbb", "aaaabbAbaBaBBBAbAbAb", "aaabbbABABABABAAbABB"}, {"aaaaababbaBBABABABBB", "aaaaabbAbaBaBBBBaBaB", "aaabababababbAbaaBBB"}, {"aaaaababbaBBABABBabb", "aaaabbAbaBaBBBaBabAb", "aabaBBAABBabaBaBaBaB"}, {"aaaaababbaBBABABBAbb", "aaaabbAbaBaBBBaBAbAb", "aabaBBAbAbAbAbAABAbb"}, {"aaaaababbaBBABABBABB", "aaaaabbAbaBaBBBaBBaB", "aabababababbAbaaBBaB"}, {"aaaaababbaBBABABBBab", "aaaabbAbaBaBBBaBaBab", "aaabbababababbAbaaBB"}, {"aaaaababbaBBABABBBAb", "aaaabbAbaBaBBBaBaBAb", "aabaBBAABBAbaBaBaBaB"}, {"aaaaababbaBBABABBBAB", "aaaaabbAbaBaBBBaBaBB", "aabaBaBaBaBaBBABaabb"}, {"aaaaababbaBBABBababb", "aaaabbAbaBaBBaBabbAb", "aabaaBBABaBaBaBaBBAB"}, {"aaaaababbaBBABBabbab", "aaaabbAbaBaBBaBabAbb", "aabaaBABBaBaBaBaBBAB"}, {"aaaaababbaBBABBAbabb", "aaaabbAbaBaBBaBAbbAb", "aababABABaBaBaBaBBAB"}, {"aaaaababbaBBABBAbbab", "aaaabbAbaBaBBaBAbAbb", "aababababaaBabbAbABB"}, {"aaaaababbaBBABBABabb", "aaaabbAbaBaBBaBBabAb", "aababaBABaBaBaBaBBAB"}, {"aaaaababbaBBABBABAbb", "aaaabbAbaBaBBaBBAbAb", "aababbAABaBaBaBaBBAB"}, {"aaaaababbaBBABBABABB", "aaaaabbAbaBaBBaBBBaB", "aabababababbAbaaBaBB"}, {"aaaaababbaBBABBABBab", "aaaabbAbaBaBBaBBaBab", "aababaaBBaBaBaBaBBAB"}, {"aaaaababbaBBABBABBAb", "aaaabbAbaBaBBaBBaBAb", "aabababABaBaBaBaBBAB"}, {"aaaaababbaBBABBABBAB", "aaaaabbAbaBaBBaBBaBB", "aabababaBaBaBaBaBBAB"}, {"aaaaababbaBBABBBabab", "aaaabbAbaBaBBaBaBabb", "aaababababaaBabbAbbb"}, {"aaaaababbaBBABBBAbab", "aaaabbAbaBaBBaBaBAbb", "aabaabABBaBaBaBaBBAB"}, {"aaaaababbaBBABBBABab", "aaaabbAbaBaBBaBaBBab", "aabaabaBBaBaBaBaBBAB"}, {"aaaaababbaBBABBBABAb", "aaaabbAbaBaBBaBaBBAb", "aabaabbABaBaBaBaBBAB"}, {"aaaaababbaBBABBBABAB", "aaaaabbAbaBaBBaBaBBB", "aabaabbaBaBaBaBaBBAB"}, {"aaaaababbaBBBabababb", "aaaabbbAbababababbAb", "aaaabbAbaBaBaBabbbAb"}, {"aaaaababbaBBBababbab", "aaaabbAbaBaBaBabbAbb", "aaaabbAbbababababbAb"}, {"aaaaababbaBBBabbabab", "aaaabbAbaBaBaBabAbbb", "aaaabAbbbababababbAb"}, {"aaaaababbaBBBAbababb", "aaaabbAbaBaBaBAbbbAb", "aaabABBABaBaBaBaBBAB"}, {"aaaaababbaBBBAbabbab", "aaaabbAbaBaBaBAbbAbb", "aaabABABBaBaBaBaBBAB"}, {"aaaaababbaBBBAbbabab", "aaaabbAbaBaBaBAbAbbb", "aaababababaaBabbbABB"}, {"aaaaababbaBBBABababb", "aaaabbAbaBaBaBBabbAb", "aaabaBBABaBaBaBaBBAB"}, {"aaaaababbaBBBABabbab", "aaaabbAbaBaBaBBabAbb", "aaabaBABBaBaBaBaBBAB"}, {"aaaaababbaBBBABAbabb", "aaaabbAbaBaBaBBAbbAb", "aaabbABABaBaBaBaBBAB"}, {"aaaaababbaBBBABAbbab", "aaaabbAbaBaBaBBAbAbb", "aaabbAABBaBaBaBaBBAB"}, {"aaaaababbaBBBABABabb", "aaaabbAbaBaBaBBBabAb", "aaabbaBABaBaBaBaBBAB"}, {"aaaaababbaBBBABABAbb", "aaaabbAbaBaBaBBBAbAb", "aaabbbAABaBaBaBaBBAB"}, {"aaaaababbaBBBABABABB", "aaaaabbAbaBaBaBBBBaB", "aaabbbaaBaBaBaBaBBAB"}, {"aaaaababbaBBBABABBab", "aaaabbAbaBaBaBBBaBab", "aaabbaaBBaBaBaBaBBAB"}, {"aaaaababbaBBBABABBAb", "aaaabbAbaBaBaBBBaBAb", "aaabbabABaBaBaBaBBAB"}, {"aaaaababbaBBBABABBAB", "aaaaabbAbaBaBaBBBaBB", "aaabbabaBaBaBaBaBBAB"}, {"aaaaababbaBBBABBabab", "aaaabbAbaBaBaBBaBabb", "aaabaaBBBaBaBaBaBBAB"}, {"aaaaababbaBBBABBAbab", "aaaabbAbaBaBaBBaBAbb", "aaababABBaBaBaBaBBAB"}, {"aaaaababbaBBBABBABab", "aaaabbAbaBaBaBBaBBab", "aaababaBBaBaBaBaBBAB"}, {"aaaaababbaBBBABBABAb", "aaaabbAbaBaBaBBaBBAb", "aaababbABaBaBaBaBBAB"}, {"aaaaababbaBBBABBABAB", "aaaaabbAbaBaBaBBaBBB", "aaababbaBaBaBaBaBBAB"}, {"aaaaababbaBBBBababab", "aaaaabbbbababababbAb", "aaaabbAbaBaBaBaBabbb"}, {"aaaaababbaBBBBAbabab", "aaaabbAbaBaBaBaBAbbb", "aaaabABBBaBaBaBaBBAB"}, {"aaaaababbaBBBBABabab", "aaaabaBBBaBaBaBaBBAB", "aaaabbAbaBaBaBaBBabb"}, {"aaaaababbaBBBBABAbab", "aaaabbAbaBaBaBaBBAbb", "aaaabbABBaBaBaBaBBAB"}, {"aaaaababbaBBBBABABab", "aaaabbaBBaBaBaBaBBAB", "aaaabbAbaBaBaBaBBBab"}, {"aaaaababbaBBBBABABAb", "aaaabbbABaBaBaBaBBAB", "aaaabbAbaBaBaBaBBBAb"}, {"aaaaababbaBBBBABABAB", "aaaaabbAbaBaBaBaBBBB", "aaaabbbaBaBaBaBaBBAB"}, {"aaaaababbbaabababbbb", "aaaabbAbAbabbbAbAbAb", "aaabbbaBaBaBaBaabbaB"}, {"aaaaababbbaababbabbb", "aaaabbAbAbabbAbbAbAb", "aababbaBaBaBaBaabbaB"}, {"aaaaababbbaababbbabb", "aaaabbAbAbabbAbAbbAb", "aababAbAbAbAbbaabAbb"}, {"aaaaababbbaababbbbab", "aaaabbAbAbabbAbAbAbb", "aaabbAbAbAbAbbaabAbb"}, {"aaaaababbbaabbababbb", "aaaabbAbAbabAbbbAbAb", "aabbaBabaabbaBaBaBaB"}, {"aaaaababbbaabbabbabb", "aaaabbAbAbabAbbAbbAb", "aabbaBabababaBaBaBaB"}, {"aaaaababbbaabbabbbab", "aaaabbAbAbabAbbAbAbb", "aababababaaBBabaBaBB"}, {"aaaaababbbaabbbababb", "aaaabbAbAbabAbAbbbAb", "aabaBaBaBaBaabbaBabb"}, {"aaaaababbbaabbbabbab", "aaaabbAbAbabAbAbbAbb", "aababababaaBBabaBBaB"}, {"aaaaababbbaabbbbabab", "aaaabbAbAbabAbAbAbbb", "aaababababaaBBabaBBB"}, {"aaaaababbbabaababbbb", "aaaabbAbAbbabbAbAbAb", "aaabAbAbAbAbbaabbAbb"}, {"aaaaababbbabaabbabbb", "aaaabbAbAbbabAbbAbAb", "aabaBaBBababababaaBB"}, {"aaaaababbbabaabbbabb", "aaaabbAbAbbabAbAbbAb", "aababAbAbAbAbbaabbAb"}, {"aaaaababbbabaabbbbab", "aaaabbAbAbbabAbAbAbb", "aaabbAbAbAbAbbaabbAb"}, {"aaaaababbbababaabbbb", "aaaabbAbAbbbabAbAbAb", "aaabaBBBababababaaBB"}, {"aaaaababbbabababaBBB", "aaaaabbAbAbbbbaBaBaB", "aaaabababababbAAbbbb"}, {"aaaaababbbabababbaBB", "aaaaabbAbAbbbbAbaBaB", "aaabababababbAAbbbAb"}, {"aaaaababbbabababbbaB", "aaaaabbAbAbbbbAbAbaB", "aaabbaBBaBaBaBaBaabb"}, {"aaaaababbbabababbbAb", "aaaabababbaBBBBaabab", "aaabaBABABABABBaaBBB"}, {"aaaaababbbabababbbAB", "aaaaabbAbAbbbbAbAbAB", "aaabbbABaBaBaBaBaabb"}, {"aaaaababbbabababbAbb", "aaaababbabaBBBBaabab", "aaabbAbbaBaBaBaBaabb"}, {"aaaaababbbabababbABB", "aaaaabbAbAbbbbAbABaB", "aaabbABBaBaBaBaBaabb"}, {"aaaaababbbabababAbbb", "aaaabbababaBBBBaabab", "aaabAbbbaBaBaBaBaabb"}, {"aaaaababbbabababABBB", "aaaaabbAbAbbbbABaBaB", "aaabababababbAAbbbAB"}, {"aaaaababbbababaBabbb", "aaaabbAbAbbbaBabAbAb", "aaabbaBBababababaaBB"}, {"aaaaababbbababaBAbbb", "aaaabbAbAbbbaBAbAbAb", "aaabAbAbAbAbbaabbbAB"}, {"aaaaababbbababaBABBB", "aaaaabbAbAbbbaBBaBaB", "aaabababababbAAbbbaB"}, {"aaaaababbbababaBBabb", "aaaabbAbAbbbaBaBabAb", "aaabbbaBababababaaBB"}, {"aaaaababbbababaBBAbb", "aaaabbAbAbbbaBaBAbAb", "aaabbABBababababaaBB"}, {"aaaaababbbababaBBABB", "aaaaabbAbAbbbaBaBBaB", "aaabbAbbababababaaBB"}, {"aaaaababbbababaBBBab", "aaaabbababababbAAbbb", "aaaabbAbAbbbaBaBaBab"}, {"aaaaababbbababaBBBAb", "aaaabbAbAbbbaBaBaBAb", "aaabbbABababababaaBB"}, {"aaaaababbbababaBBBAB", "aaaaabbAbAbbbaBaBaBB", "aaabaBaBaBaBaBBAABBB"}, {"aaaaababbbababbaabbb", "aaaabbAbAbbbAbabAbAb", "aabaBabbaBaBaBaBaabb"}, {"aaaaababbbababbabaBB", "aaaaabbAbAbbbAbbaBaB", "aaabababababbAAbbAbb"}, {"aaaaababbbababbabbaB", "aaaaabbAbAbbbAbbAbaB", "aabababababbAAbbAbAb"}, {"aaaaababbbababbabbAb", "aaaabbAbAbbbAbbAbAAb", "aababbAbaBaBaBaBaabb"}, {"aaaaababbbababbabbAB", "aaaaabbAbAbbbAbbAbAB", "aababbABaBaBaBaBaabb"}, {"aaaaababbbababbabAbb", "aaaabbAbAbbbAbbAAbAb", "aababAbbaBaBaBaBaabb"}, {"aaaaababbbababbabABB", "aaaaabbAbAbbbAbbABaB", "aabababababbAAbbAbAB"}, {"aaaaababbbababbaBabb", "aaaabbAbAbbbAbaBabAb", "aabaBBabaBaBaBaBaabb"}, {"aaaaababbbababbaBAbb", "aaaabbAbAbbbAbaBAbAb", "aabaBAbbaBaBaBaBaabb"}, {"aaaaababbbababbaBABB", "aaaaabbAbAbbbAbaBBaB", "aabababababbAAbbAbaB"}, {"aaaaababbbababbaBBab", "aaaabbAbAbbbAbaBaBab", "aaabbababababbAAbbAb"}, {"aaaaababbbababbaBBAb", "aaaabbAbAbbbAbaBaBAb", "aabaBBAbaBaBaBaBaabb"}, {"aaaaababbbababbaBBAB", "aaaaabbAbAbbbAbaBaBB", "aabaBaBaBaBaBBAABBAB"}, {"aaaaababbbababbbaabb", "aaaabbAbAbbbAbAbabAb", "aabbaabbaBabaBaBaBaB"}, {"aaaaababbbababbbabaB", "aaaaabbAbAbbbAbAbbaB", "aabababababbAAbbAAbb"}, {"aaaaababbbababbbabAb", "aaaabbAbAbbbAbAbbAAb", "aabaBabAbAbAbAbbaabb"}, {"aaaaababbbababbbabAB", "aaaaabbAbAbbbAbAbbAB", "aabaBAbAbAbAbAbbaabb"}, {"aaaaababbbababbbaBab", "aaaabbAbAbbbAbAbaBab", "aababababaaBBaaBBabb"}, {"aaaaababbbababbbaBAb", "aaaabbAbAbbbAbAbaBAb", "aabbaabbaBAbaBaBaBaB"}, {"aaaaababbbababbbaBAB", "aaaaabbAbAbbbAbAbaBB", "aabbaabbaBABaBaBaBaB"}, {"aaaaababbbababbbbaab", "aaaabbAbAbbbAbAbAbab", "aaabAbbAbAbAbAbbaabb"}, {"aaaaababbbababbbAbab", "aaaabbAbAbbbAbAbAAbb", "aaabaBBABABABABBaaBB"}, {"aaaaababbbababbbABab", "aaaabbAbAbbbAbAbABab", "aaabABBABABABABBaaBB"}, {"aaaaababbbababbbABAb", "aaaabbAbAbbbAbAbABAb", "aaabbaBABABABABBaaBB"}, {"aaaaababbbababbbABAB", "aaaaabbAbAbbbAbAbABB", "aaabbABABABABABBaaBB"}, {"aaaaababbbababbAbabb", "aaaabbAbAbbbAbAAbbAb", "aabaBaBABABABABBaaBB"}, {"aaaaababbbababbAbbab", "aaaabbAbAbbbAbAAbAbb", "aabaaBBABABABABBaaBB"}, {"aaaaababbbababbABabb", "aaaabbAbAbbbAbABabAb", "aabbaabbABabaBaBaBaB"}, {"aaaaababbbababbABAbb", "aaaabbAbAbbbAbABAbAb", "aabbaabbAAbbaBaBaBaB"}, {"aaaaababbbababbABABB", "aaaaabbAbAbbbAbABBaB", "aabababababbAAbbAABB"}, {"aaaaababbbababbABBab", "aaaabbAbAbbbAbABaBab", "aababababaaBBaaBBAbb"}, {"aaaaababbbababbABBAb", "aaaabbAbAbbbAbABaBAb", "aabbaabbABAbaBaBaBaB"}, {"aaaaababbbababbABBAB", "aaaaabbAbAbbbAbABaBB", "aabbaabbABABaBaBaBaB"}, {"aaaaababbbababAbabbb", "aaaabbAbAbbbAAbbAbAb", "aabbaabAbabbaBaBaBaB"}, {"aaaaababbbababAbbabb", "aaaabbAbAbbbAAbAbbAb", "aababAbAbAbAbbaabbaB"}, {"aaaaababbbababAbbbab", "aaaabbAbAbbbAAbAbAbb", "aaabbAbAbAbAbbaabbaB"}, {"aaaaababbbababABabbb", "aaaabbAbAbbbABabAbAb", "aabbaabABabbaBaBaBaB"}, {"aaaaababbbababABAbbb", "aaaabbAbAbbbABAbAbAb", "aaabAbAbAbAbbaabbaBB"}, {"aaaaababbbababABABBB", "aaaaabbAbAbbbABBaBaB", "aaabababababbAAbbABB"}, {"aaaaababbbababABBabb", "aaaabbAbAbbbABaBabAb", "aabbaabABBabaBaBaBaB"}, {"aaaaababbbababABBAbb", "aaaabbAbAbbbABaBAbAb", "aabbaabABAbbaBaBaBaB"}, {"aaaaababbbababABBABB", "aaaaabbAbAbbbABaBBaB", "aabababababbAAbbABaB"}, {"aaaaababbbababABBBab", "aaaabbAbAbbbABaBaBab", "aaabbababababbAAbbAB"}, {"aaaaababbbababABBBAb", "aaaabbAbAbbbABaBaBAb", "aabbaabABBAbaBaBaBaB"}, {"aaaaababbbababABBBAB", "aaaaabbAbAbbbABaBaBB", "aabaBaBaBaBaBBAABBAb"}, {"aaaaababbbabaBababbb", "aaaabbAbAbbaBabbAbAb", "aabbaaBBaabbaBaBaBaB"}, {"aaaaababbbabaBabbabb", "aaaabbAbAbbaBabAbbAb", "aabbaaBBababaBaBaBaB"}, {"aaaaababbbabaBabbbab", "aaaabbAbAbbaBabAbAbb", "aababababaaBBaabbaBB"}, {"aaaaababbbabaBAbabbb", "aaaabbAbAbbaBAbbAbAb", "aabbaaBAbabbaBaBaBaB"}, {"aaaaababbbabaBAbbabb", "aaaabbAbAbbaBAbAbbAb", "aababAbAbAbAbbaabbAB"}, {"aaaaababbbabaBAbbbab", "aaaabbAbAbbaBAbAbAbb", "aaabbAbAbAbAbbaabbAB"}, {"aaaaababbbabaBABabbb", "aaaabbAbAbbaBBabAbAb", "aabbaaBABabbaBaBaBaB"}, {"aaaaababbbabaBABAbbb", "aaaabbAbAbbaBBAbAbAb", "aaabAbAbAbAbbaabbABB"}, {"aaaaababbbabaBABABBB", "aaaaabbAbAbbaBBBaBaB", "aaabababababbAAbbaBB"}, {"aaaaababbbabaBABBabb", "aaaabbAbAbbaBBaBabAb", "aabbaaBABBabaBaBaBaB"}, {"aaaaababbbabaBABBAbb", "aaaabbAbAbbaBBaBAbAb", "aabbaaBABAbbaBaBaBaB"}, {"aaaaababbbabaBABBABB", "aaaaabbAbAbbaBBaBBaB", "aabababababbAAbbaBaB"}, {"aaaaababbbabaBABBBab", "aaaabbAbAbbaBBaBaBab", "aaabbababababbAAbbaB"}, {"aaaaababbbabaBABBBAb", "aaaabbAbAbbaBBaBaBAb", "aabbaaBABBAbaBaBaBaB"}, {"aaaaababbbabaBABBBAB", "aaaaabbAbAbbaBBaBaBB", "aabaBaBaBaBaBBAABBab"}, {"aaaaababbbabaBBababb", "aaaabbAbAbbaBaBabbAb", "aaabbAbababababbAAbb"}, {"aaaaababbbabaBBabbab", "aaaabbAbAbbaBaBabAbb", "aaabAbbababababbAAbb"}, {"aaaaababbbabaBBAbabb", "aaaabbAbAbbaBaBAbbAb", "aabbaaBBAbabaBaBaBaB"}, {"aaaaababbbabaBBAbbab", "aaaabbAbAbbaBaBAbAbb", "aababababaaBBaabbABB"}, {"aaaaababbbabaBBABabb", "aaaabbAbAbbaBaBBabAb", "aabaBABaBaBaBaBBAABB"}, {"aaaaababbbabaBBABAbb", "aaaabbAbAbbaBaBBAbAb", "aabbaaBBAAbbaBaBaBaB"}, {"aaaaababbbabaBBABABB", "aaaaabbAbAbbaBaBBBaB", "aabababababbAAbbaaBB"}, {"aaaaababbbabaBBABBab", "aaaabbAbAbbaBaBBaBab", "aabaaBBaBaBaBaBBAABB"}, {"aaaaababbbabaBBABBAb", "aaaabbAbAbbaBaBBaBAb", "aababABaBaBaBaBBAABB"}, {"aaaaababbbabaBBABBAB", "aaaaabbAbAbbaBaBBaBB", "aababaBaBaBaBaBBAABB"}, {"aaaaababbbabaBBBabab", "aaaabbbababababbAAbb", "aaaabbAbAbbaBaBaBabb"}, {"aaaaababbbabaBBBAbab", "aaaabbAbAbbaBaBaBAbb", "aaabABBaBaBaBaBBAABB"}, {"aaaaababbbabaBBBABab", "aaaabbAbAbbaBaBaBBab", "aaabaBBaBaBaBaBBAABB"}, {"aaaaababbbabaBBBABAb", "aaaabbAbAbbaBaBaBBAb", "aaabbABaBaBaBaBBAABB"}, {"aaaaababbbabaBBBABAB", "aaaaabbAbAbbaBaBaBBB", "aaabbaBaBaBaBaBBAABB"}, {"aaaaababbbabbaababbb", "aaaabbAbAbbAbabbAbAb", "aababAbbaabAbAbAbAbb"}, {"aaaaababbbabbaabbabb", "aaaabbAbAbbAbabAbbAb", "aababAbababAbAbAbAbb"}, {"aaaaababbbabbaabbbab", "aaaabbAbAbbAbabAbAbb", "aababababaaBBaBabaBB"}, {"aaaaababbbabbabaabbb", "aaaabbAbAbbAbbabAbAb", "aababbAbaabAbAbAbAbb"}, {"aaaaababbbabbababaBB", "aaaaabbAbAbbAbbbaBaB", "aaabababababbAAbAbbb"}, {"aaaaababbbabbababbaB", "aaaaabbAbAbbAbbbAbaB", "aabababababbAAbAbbAb"}, {"aaaaababbbabbababbAb", "aaaabbAbAbbAbbbAbAAb", "aababbaaBabAbAbAbAbb"}, {"aaaaababbbabbababbAB", "aaaaabbAbAbbAbbbAbAB", "aababbaaBAbAbAbAbAbb"}, {"aaaaababbbabbababAbb", "aaaabbAbAbbAbbbAAbAb", "aababbaBaabAbAbAbAbb"}, {"aaaaababbbabbababABB", "aaaaabbAbAbbAbbbABaB", "aabababababbAAbAbbAB"}, {"aaaaababbbabbabaBabb", "aaaabbAbAbbAbbaBabAb", "aababbAAbabAbAbAbAbb"}, {"aaaaababbbabbabaBAbb", "aaaabbAbAbbAbbaBAbAb", "aababbABaabAbAbAbAbb"}, {"aaaaababbbabbabaBABB", "aaaaabbAbAbbAbbaBBaB", "aabababababbAAbAbbaB"}, {"aaaaababbbabbabaBBab", "aaaabbAbAbbAbbaBaBab", "aaabbababababbAAbAbb"}, {"aaaaababbbabbabaBBAb", "aaaabbAbAbbAbbaBaBAb", "aababbAABabAbAbAbAbb"}, {"aaaaababbbabbabaBBAB", "aaaaabbAbAbbAbbaBaBB", "aababbAABAbAbAbAbAbb"}, {"aaaaababbbabbabbaabb", "aaaabbAbAbbAbbAbabAb", "aabababAbabAbAbAbAbb"}, {"aaaaababbbabbabbabaB", "aaaaabbAbAbbAbbAbbaB", "aabababababbAAbAbAbb"}, {"aaaaababbbabbabbabAb", "aaaabbAbAbbAbbAbbAAb", "aabababaBabAbAbAbAbb"}, {"aaaaababbbabbabbabAB", "aaaaabbAbAbbAbbAbbAB", "aabababaBAbAbAbAbAbb"}, {"aaaaababbbabbabbaBab", "aaaabbAbAbbAbbAbaBab", "aababababaaBBaBaBabb"}, {"aaaaababbbabbabbaBAb", "aaaabbAbAbbAbbAbaBAb", "aabababABabAbAbAbAbb"}, {"aaaaababbbabbabbaBAB", "aaaaabbAbAbbAbbAbaBB", "aabababABAbAbAbAbAbb"}, {"aaaaababbbabbabbbaab", "aaaabbAbAbbAbbAbAbab", "aababaabAbbAbAbAbAbb"}, {"aaaaababbbabbabbAbab", "aaaabbAbAbbAbbAbAAbb", "aababaaBabbAbAbAbAbb"}, {"aaaaababbbabbabbABab", "aaaabbAbAbbAbbAbABab", "aababaaBAbbAbAbAbAbb"}, {"aaaaababbbabbabbABAb", "aaaabbAbAbbAbbAbABAb", "aababaaBBabAbAbAbAbb"}, {"aaaaababbbabbabbABAB", "aaaaabbAbAbbAbbAbABB", "aababaaBBAbAbAbAbAbb"}, {"aaaaababbbabbabAbabb", "aaaabbAbAbbAbbAAbbAb", "aababaBababAbAbAbAbb"}, {"aaaaababbbabbabAbbab", "aaaabbAbAbbAbbAAbAbb", "aababababaaBBaBaBABB"}, {"aaaaababbbabbabABabb", "aaaabbAbAbbAbbABabAb", "aababaBAbabAbAbAbAbb"}, {"aaaaababbbabbabABAbb", "aaaabbAbAbbAbbABAbAb", "aababaBBaabAbAbAbAbb"}, {"aaaaababbbabbabABABB", "aaaaabbAbAbbAbbABBaB", "aabababababbAAbAbABB"}, {"aaaaababbbabbabABBab", "aaaabbAbAbbAbbABaBab", "aababababaaBBaBaBAbb"}, {"aaaaababbbabbabABBAb", "aaaabbAbAbbAbbABaBAb", "aababaBABabAbAbAbAbb"}, {"aaaaababbbabbabABBAB", "aaaaabbAbAbbAbbABaBB", "aababaBABAbAbAbAbAbb"}, {"aaaaababbbabbaBababb", "aaaabbAbAbbAbaBabbAb", "aababAAbbabAbAbAbAbb"}, {"aaaaababbbabbaBabbab", "aaaabbAbAbbAbaBabAbb", "aababababaaBBaBabbaB"}, {"aaaaababbbabbaBAbabb", "aaaabbAbAbbAbaBAbbAb", "aababABababAbAbAbAbb"}, {"aaaaababbbabbaBAbbab", "aaaabbAbAbbAbaBAbAbb", "aababababaaBBaBabABB"}, {"aaaaababbbabbaBABabb", "aaaabbAbAbbAbaBBabAb", "aababABAbabAbAbAbAbb"}, {"aaaaababbbabbaBABAbb", "aaaabbAbAbbAbaBBAbAb", "aababABBaabAbAbAbAbb"}, {"aaaaababbbabbaBABABB", "aaaaabbAbAbbAbaBBBaB", "aabababababbAAbAbaBB"}, {"aaaaababbbabbaBABBab", "aaaabbAbAbbAbaBBaBab", "aababababaaBBaBabAbb"}, {"aaaaababbbabbaBABBAb", "aaaabbAbAbbAbaBBaBAb", "aababABABabAbAbAbAbb"}, {"aaaaababbbabbaBABBAB", "aaaaabbAbAbbAbaBBaBB", "aababABABAbAbAbAbAbb"}, {"aaaaababbbabbaBBabab", "aaaabbAbAbbAbaBaBabb", "aaababababaaBBaBabbb"}, {"aaaaababbbabbaBBAbab", "aaaabbAbAbbAbaBaBAbb", "aababababaaBBaBabbAB"}, {"aaaaababbbabbaBBABab", "aaaabbAbAbbAbaBaBBab", "aababababaaBBaBabbAb"}, {"aaaaababbbabbaBBABAb", "aaaabbAbAbbAbaBaBBAb", "aababAABBabAbAbAbAbb"}, {"aaaaababbbabbaBBABAB", "aaaaabbAbAbbAbaBaBBB", "aababAABBAbAbAbAbAbb"}, {"aaaaababbbabbbaababb", "aaaabbAbAbbAbAbabbAb", "aabaabAbbabAbAbAbAbb"}, {"aaaaababbbabbbaabbab", "aaaabbAbAbbAbAbabAbb", "aabaabAbabbAbAbAbAbb"}, {"aaaaababbbabbbabaabb", "aaaabbAbAbbAbAbbabAb", "aabaabbAbabAbAbAbAbb"}, {"aaaaababbbabbbababaB", "aaaaabbAbAbbAbAbbbaB", "aaabbababababaaBBaBB"}, {"aaaaababbbabbbababAb", "aaaabbAbAbbAbAbbbAAb", "aabaabbaBabAbAbAbAbb"}, {"aaaaababbbabbbababAB", "aaaaabbAbAbbAbAbbbAB", "aabaabbaBAbAbAbAbAbb"}, {"aaaaababbbabbbabaBab", "aaaabbAbAbbAbAbbaBab", "aabaabbAAbbAbAbAbAbb"}, {"aaaaababbbabbbabaBAb", "aaaabbAbAbbAbAbbaBAb", "aabaabbABabAbAbAbAbb"}, {"aaaaababbbabbbabaBAB", "aaaaabbAbAbbAbAbbaBB", "aabaabbABAbAbAbAbAbb"}, {"aaaaababbbabbbabbaab", "aaaabbAbAbbAbAbbAbab", "aabaababAbbAbAbAbAbb"}, {"aaaaababbbabbbabAbab", "aaaabbAbAbbAbAbbAAbb", "aabaabaBabbAbAbAbAbb"}, {"aaaaababbbabbbabABab", "aaaabbAbAbbAbAbbABab", "aabaabaBAbbAbAbAbAbb"}, {"aaaaababbbabbbabABAb", "aaaabbAbAbbAbAbbABAb", "aabaabaBBabAbAbAbAbb"}, {"aaaaababbbabbbabABAB", "aaaaabbAbAbbAbAbbABB", "aabaabaBBAbAbAbAbAbb"}, {"aaaaababbbabbbaBabab", "aaaabbAbAbbAbAbaBabb", "aaababababaaBBaBBabb"}, {"aaaaababbbabbbaBAbab", "aaaabbAbAbbAbAbaBAbb", "aabaabABabbAbAbAbAbb"}, {"aaaaababbbabbbaBABab", "aaaabbAbAbbAbAbaBBab", "aabaabABAbbAbAbAbAbb"}, {"aaaaababbbabbbaBABAb", "aaaabbAbAbbAbAbaBBAb", "aabaabABBabAbAbAbAbb"}, {"aaaaababbbabbbaBABAB", "aaaaabbAbAbbAbAbaBBB", "aabaabABBAbAbAbAbAbb"}, {"aaaaababbbabbbbaabab", "aaaabbAbAbbAbAbAbabb", "aaababababaaBBaBBBab"}, {"aaaaababbbabbbbabaab", "aaaabbAbAbbAbAbAbbab", "aaabbAbbAbAbAbAbbaab"}, {"aaaaababbbabbbAbabab", "aaaabbAbAbbAbAbAAbbb", "aaababababaaBBaBBBAB"}, {"aaaaababbbabbbABabab", "aaaabbAbAbbAbAbABabb", "aaababababaaBBaBBBAb"}, {"aaaaababbbabbbABAbab", "aaaabbAbAbbAbAbABAbb", "aaabbaBBABABABABBaaB"}, {"aaaaababbbabbbABABab", "aaaabbAbAbbAbAbABBab", "aaabbABBABABABABBaaB"}, {"aaaaababbbabbbABABAb", "aaaabbAbAbbAbAbABBAb", "aaabbbaBABABABABBaaB"}, {"aaaaababbbabbbABABAB", "aaaaabbAbAbbAbAbABBB", "aaabbbABABABABABBaaB"}, {"aaaaababbbabbAbababb", "aaaabbAbAbbAbAAbbbAb", "aabaaBabbabAbAbAbAbb"}, {"aaaaababbbabbAbabbab", "aaaabbAbAbbAbAAbbAbb", "aabaaBababbAbAbAbAbb"}, {"aaaaababbbabbAbbabab", "aaaabbAbAbbAbAAbAbbb", "aaababababaaBBaBBABB"}, {"aaaaababbbabbABababb", "aaaabbAbAbbAbABabbAb", "aabaaBAbbabAbAbAbAbb"}, {"aaaaababbbabbABabbab", "aaaabbAbAbbAbABabAbb", "aabaaBAbabbAbAbAbAbb"}, {"aaaaababbbabbABAbabb", "aaaabbAbAbbAbABAbbAb", "aabaaBBababAbAbAbAbb"}, {"aaaaababbbabbABAbbab", "aaaabbAbAbbAbABAbAbb", "aabaaBBaabbAbAbAbAbb"}, {"aaaaababbbabbABABabb", "aaaabbAbAbbAbABBabAb", "aabaaBBAbabAbAbAbAbb"}, {"aaaaababbbabbABABAbb", "aaaabbAbAbbAbABBAbAb", "aaabbABABABABAAbbAbb"}, {"aaaaababbbabbABABABB", "aaaaabbAbAbbAbABBBaB", "aaabbAbAbAbAbAABBABB"}, {"aaaaababbbabbABABBab", "aaaabbAbAbbAbABBaBab", "aabaaBBAAbbAbAbAbAbb"}, {"aaaaababbbabbABABBAb", "aaaabbAbAbbAbABBaBAb", "aabaaBBABabAbAbAbAbb"}, {"aaaaababbbabbABABBAB", "aaaaabbAbAbbAbABBaBB", "aabaaBBABAbAbAbAbAbb"}, {"aaaaababbbabbABBabab", "aaaabbAbAbbAbABaBabb", "aaababababaaBBaBBAbb"}, {"aaaaababbbabbABBAbab", "aaaabbAbAbbAbABaBAbb", "aabaaBABabbAbAbAbAbb"}, {"aaaaababbbabbABBABab", "aaaabbAbAbbAbABaBBab", "aabaaBABAbbAbAbAbAbb"}, {"aaaaababbbabbABBABAb", "aaaabbAbAbbAbABaBBAb", "aabaaBABBabAbAbAbAbb"}, {"aaaaababbbabbABBABAB", "aaaaabbAbAbbAbABaBBB", "aabaaBABBAbAbAbAbAbb"}, {"aaaaababbbabAbababbb", "aaaabbAbAbbAAbbbAbAb", "aabaBabbaabAbAbAbAbb"}, {"aaaaababbbabAbabbabb", "aaaabbAbAbbAAbbAbbAb", "aabaBabababAbAbAbAbb"}, {"aaaaababbbabAbabbbab", "aaaabbAbAbbAAbbAbAbb", "aababababaaBBaBABaBB"}, {"aaaaababbbabAbbababb", "aaaabbAbAbbAAbAbbbAb", "aabaBaabbabAbAbAbAbb"}, {"aaaaababbbabAbbabbab", "aaaabbAbAbbAAbAbbAbb", "aababababaaBBaBABBaB"}, {"aaaaababbbabAbbbabab", "aaaabbAbAbbAAbAbAbbb", "aaababababaaBBaBABBB"}, {"aaaaababbbabABababbb", "aaaabbAbAbbABabbAbAb", "aabaBAbbaabAbAbAbAbb"}, {"aaaaababbbabABabbabb", "aaaabbAbAbbABabAbbAb", "aabaBAbababAbAbAbAbb"}, {"aaaaababbbabABabbbab", "aaaabbAbAbbABabAbAbb", "aababababaaBBaBAbaBB"}, {"aaaaababbbabABAbabbb", "aaaabbAbAbbABAbbAbAb", "aabaBBabaabAbAbAbAbb"}, {"aaaaababbbabABAbbabb", "aaaabbAbAbbABAbAbbAb", "aababAbAbAbAbbaabaBB"}, {"aaaaababbbabABAbbbab", "aaaabbAbAbbABAbAbAbb", "aaabbAbAbAbAbbaabaBB"}, {"aaaaababbbabABABabbb", "aaaabbAbAbbABBabAbAb", "aabaBBAbaabAbAbAbAbb"}, {"aaaaababbbabABABAbbb", "aaaabbAbAbbABBAbAbAb", "aaabbbABABABABAAbbAb"}, {"aaaaababbbabABABABBB", "aaaaabbAbAbbABBBaBaB", "aaabababababbAAbABBB"}, {"aaaaababbbabABABBabb", "aaaabbAbAbbABBaBabAb", "aabaBBAAbabAbAbAbAbb"}, {"aaaaababbbabABABBAbb", "aaaabbAbAbbABBaBAbAb", "aabaBBAbAbAbAbAABBAB"}, {"aaaaababbbabABABBABB", "aaaaabbAbAbbABBaBBaB", "aabababababbAAbABBaB"}, {"aaaaababbbabABABBBab", "aaaabbAbAbbABBaBaBab", "aaabbababababbAAbABB"}, {"aaaaababbbabABABBBAb", "aaaabbAbAbbABBaBaBAb", "aabaBBAABabAbAbAbAbb"}, {"aaaaababbbabABABBBAB", "aaaaabbAbAbbABBaBaBB", "aabaBaBaBaBaBBAABAbb"}, {"aaaaababbbabABBababb", "aaaabbAbAbbABaBabbAb", "aabaBaBaBaBaabbabABB"}, {"aaaaababbbabABBabbab", "aaaabbAbAbbABaBabAbb", "aababababaaBBaBAbbaB"}, {"aaaaababbbabABBAbabb", "aaaabbAbAbbABaBAbbAb", "aabaBABababAbAbAbAbb"}, {"aaaaababbbabABBAbbab", "aaaabbAbAbbABaBAbAbb", "aababababaaBBaBAbABB"}, {"aaaaababbbabABBABabb", "aaaabbAbAbbABaBBabAb", "aabaBABAbabAbAbAbAbb"}, {"aaaaababbbabABBABAbb", "aaaabbAbAbbABaBBAbAb", "aabaBABBaabAbAbAbAbb"}, {"aaaaababbbabABBABABB", "aaaaabbAbAbbABaBBBaB", "aabababababbAAbABaBB"}, {"aaaaababbbabABBABBab", "aaaabbAbAbbABaBBaBab", "aababababaaBBaBAbAbb"}, {"aaaaababbbabABBABBAb", "aaaabbAbAbbABaBBaBAb", "aabaBABABabAbAbAbAbb"}, {"aaaaababbbabABBABBAB", "aaaaabbAbAbbABaBBaBB", "aabaBABABAbAbAbAbAbb"}, {"aaaaababbbabABBBabab", "aaaabbAbAbbABaBaBabb", "aaababababaaBBaBAbbb"}, {"aaaaababbbabABBBAbab", "aaaabbAbAbbABaBaBAbb", "aababababaaBBaBAbbAB"}, {"aaaaababbbabABBBABab", "aaaabbAbAbbABaBaBBab", "aababababaaBBaBAbbAb"}, {"aaaaababbbabABBBABAb", "aaaabbAbAbbABaBaBBAb", "aabaBAABBabAbAbAbAbb"}, {"aaaaababbbabABBBABAB", "aaaaabbAbAbbABaBaBBB", "aabaBAABBAbAbAbAbAbb"}, {"aaaaababbbaBabababbb", "aaaabbAbAbaBabbbAbAb", "aaabbaBaBaBaBaabbaBB"}, {"aaaaababbbaBababbabb", "aaaabbAbAbaBabbAbbAb", "aababaBaBaBaBaabbaBB"}, {"aaaaababbbaBababbbab", "aaaabbAbAbaBabbAbAbb", "aababababaaBBabbaaBB"}, {"aaaaababbbaBabbababb", "aaaabbAbAbaBabAbbbAb", "aabaBaBaBaBaabbaBBab"}, {"aaaaababbbaBabbabbab", "aaaabbAbAbaBabAbbAbb", "aababababaaBBabbaBaB"}, {"aaaaababbbaBabbbabab", "aaaabbAbAbaBabAbAbbb", "aaababababaaBBabbaBB"}, {"aaaaababbbaBAbababbb", "aaaabbAbAbaBAbbbAbAb", "aabbaBaBaBaBaabbaBAb"}, {"aaaaababbbaBAbabbabb", "aaaabbAbAbaBAbbAbbAb", "aabbaBAbababaBaBaBaB"}, {"aaaaababbbaBAbabbbab", "aaaabbAbAbaBAbbAbAbb", "aababababaaBBabABaBB"}, {"aaaaababbbaBAbbababb", "aaaabbAbAbaBAbAbbbAb", "aabaBaBaBaBaabbaBAbb"}, {"aaaaababbbaBAbbabbab", "aaaabbAbAbaBAbAbbAbb", "aababababaaBBabABBaB"}, {"aaaaababbbaBAbbbabab", "aaaabbAbAbaBAbAbAbbb", "aaababababaaBBabABBB"}, {"aaaaababbbaBABababbb", "aaaabbAbAbaBBabbAbAb", "aabbaBaBaBaBaabbaBAB"}, {"aaaaababbbaBABabbabb", "aaaabbAbAbaBBabAbbAb", "aabbaBABababaBaBaBaB"}, {"aaaaababbbaBABabbbab", "aaaabbAbAbaBBabAbAbb", "aababababaaBBabAbaBB"}, {"aaaaababbbaBABAbabbb", "aaaabbAbAbaBBAbbAbAb", "aabbaBAAbabbaBaBaBaB"}, {"aaaaababbbaBABAbbabb", "aaaabbAbAbaBBAbAbbAb", "aababAbAbAbAbbaabABB"}, {"aaaaababbbaBABAbbbab", "aaaabbAbAbaBBAbAbAbb", "aaabbAbAbAbAbbaabABB"}, {"aaaaababbbaBABABabbb", "aaaabbAbAbaBBBabAbAb", "aabbaBAABabbaBaBaBaB"}, {"aaaaababbbaBABABAbbb", "aaaabbAbAbaBBBAbAbAb", "aaabbbABABABABAAbbAB"}, {"aaaaababbbaBABABABBB", "aaaaabbAbAbaBBBBaBaB", "aaabababababbAAbaBBB"}, {"aaaaababbbaBABABBabb", "aaaabbAbAbaBBBaBabAb", "aabbaBAABBabaBaBaBaB"}, {"aaaaababbbaBABABBAbb", "aaaabbAbAbaBBBaBAbAb", "aabaBBAbAbAbAbAABBAb"}, {"aaaaababbbaBABABBABB", "aaaaabbAbAbaBBBaBBaB", "aabababababbAAbaBBaB"}, {"aaaaababbbaBABABBBab", "aaaabbAbAbaBBBaBaBab", "aaabbababababbAAbaBB"}, {"aaaaababbbaBABABBBAb", "aaaabbAbAbaBBBaBaBAb", "aabbaBAbAbAbAbAABBAb"}, {"aaaaababbbaBABABBBAB", "aaaaabbAbAbaBBBaBaBB", "aabaBaBaBaBaBBAABabb"}, {"aaaaababbbaBABBababb", "aaaabbAbAbaBBaBabbAb", "aabaBaBaBaBaabbaBABB"}, {"aaaaababbbaBABBabbab", "aaaabbAbAbaBBaBabAbb", "aababababaaBBabAbbaB"}, {"aaaaababbbaBABBAbabb", "aaaabbAbAbaBBaBAbbAb", "aabbaBABAbabaBaBaBaB"}, {"aaaaababbbaBABBAbbab", "aaaabbAbAbaBBaBAbAbb", "aababababaaBBabAbABB"}, {"aaaaababbbaBABBABabb", "aaaabbAbAbaBBaBBabAb", "aabbaBABABabaBaBaBaB"}, {"aaaaababbbaBABBABAbb", "aaaabbAbAbaBBaBBAbAb", "aabbaBABAAbbaBaBaBaB"}, {"aaaaababbbaBABBABABB", "aaaaabbAbAbaBBaBBBaB", "aabababababbAAbaBaBB"}, {"aaaaababbbaBABBABBab", "aaaabbAbAbaBBaBBaBab", "aababababaaBBabAbAbb"}, {"aaaaababbbaBABBABBAb", "aaaabbAbAbaBBaBBaBAb", "aabbaBABABAbaBaBaBaB"}, {"aaaaababbbaBABBABBAB", "aaaaabbAbAbaBBaBBaBB", "aabbaBABABABaBaBaBaB"}, {"aaaaababbbaBABBBabab", "aaaabbAbAbaBBaBaBabb", "aaababababaaBBabAbbb"}, {"aaaaababbbaBABBBAbab", "aaaabbAbAbaBBaBaBAbb", "aababababaaBBabAbbAB"}, {"aaaaababbbaBABBBABab", "aaaabbAbAbaBBaBaBBab", "aababababaaBBabAbbAb"}, {"aaaaababbbaBABBBABAb", "aaaabbAbAbaBBaBaBBAb", "aabbaBABBAAbaBaBaBaB"}, {"aaaaababbbaBABBBABAB", "aaaaabbAbAbaBBaBaBBB", "aabbaBaBaBaBaBBAABab"}, {"aaaaababbbaBBabababb", "aaaabbAbAbaBaBabbbAb", "aaabaBaBaBaBaabbaBBB"}, {"aaaaababbbaBBababbab", "aaaabbAbAbaBaBabbAbb", "aaabbAbbababababbAAb"}, {"aaaaababbbaBBabbabab", "aaaabbAbAbaBaBabAbbb", "aaababababaaBBabbbaB"}, {"aaaaababbbaBBAbababb", "aaaabbAbAbaBaBAbbbAb", "aabaBaBaBaBaabbaBBAb"}, {"aaaaababbbaBBAbabbab", "aaaabbAbAbaBaBAbbAbb", "aababababaaBBabbABaB"}, {"aaaaababbbaBBAbbabab", "aaaabbAbAbaBaBAbAbbb", "aaababababaaBBabbABB"}, {"aaaaababbbaBBABababb", "aaaabbAbAbaBaBBabbAb", "aabaBaBaBaBaabbaBBAB"}, {"aaaaababbbaBBABabbab", "aaaabbAbAbaBaBBabAbb", "aababababaaBBabbAbaB"}, {"aaaaababbbaBBABAbabb", "aaaabbAbAbaBaBBAbbAb", "aabbaBBAAbabaBaBaBaB"}, {"aaaaababbbaBBABAbbab", "aaaabbAbAbaBaBBAbAbb", "aababababaaBBabbAABB"}, {"aaaaababbbaBBABABabb", "aaaabbAbAbaBaBBBabAb", "aabbaBABaBaBaBaBBAAB"}, {"aaaaababbbaBBABABAbb", "aaaabbAbAbaBaBBBAbAb", "aaabbABABABABAAbbABB"}, {"aaaaababbbaBBABABABB", "aaaaabbAbAbaBaBBBBaB", "aaabbAbAbAbAbAABBAbb"}, {"aaaaababbbaBBABABBab", "aaaabbAbAbaBaBBBaBab", "aababababaaBBabbAAbb"}, {"aaaaababbbaBBABABBAb", "aaaabbAbAbaBaBBBaBAb", "aabaBAbAbAbAbAABBAbb"}, {"aaaaababbbaBBABABBAB", "aaaaabbAbAbaBaBBBaBB", "aababAbAbAbAbAABBAbb"}, {"aaaaababbbaBBABBabab", "aaaabbAbAbaBaBBaBabb", "aaababababaaBBabbAbb"}, {"aaaaababbbaBBABBAbab", "aaaabbAbAbaBaBBaBAbb", "aababababaaBBabbAbAB"}, {"aaaaababbbaBBABBABab", "aaaabbAbAbaBaBBaBBab", "aababababaaBBabbAbAb"}, {"aaaaababbbaBBABBABAb", "aaaabbAbAbaBaBBaBBAb", "aababbABaBaBaBaBBAAB"}, {"aaaaababbbaBBABBABAB", "aaaaabbAbAbaBaBBaBBB", "aababbaBaBaBaBaBBAAB"}, {"aaaaababbbaBBBababab", "aaaababababaaBBabbbb", "aaaabbAbAbaBaBaBabbb"}, {"aaaaababbbaBBBAbabab", "aaaabbAbAbaBaBaBAbbb", "aaababababaaBBabbbAB"}, {"aaaaababbbaBBBABabab", "aaaabbAbAbaBaBaBBabb", "aaababababaaBBabbbAb"}, {"aaaaababbbaBBBABAbab", "aaaabbAbAbaBaBaBBAbb", "aaabbABBaBaBaBaBBAAB"}, {"aaaaababbbaBBBABABab", "aaaabbAbAbaBaBaBBBab", "aaabbaBBaBaBaBaBBAAB"}, {"aaaaababbbaBBBABABAb", "aaaabbAbAbaBaBaBBBAb", "aaabbbABaBaBaBaBBAAB"}, {"aaaaababbbaBBBABABAB", "aaaaabbAbAbaBaBaBBBB", "aaabbbaBaBaBaBaBBAAB"}, {"aaaaababbbbaabababbb", "aaaabbAbAbAbabbbAbAb", "aaabbaBaBaBaBaabbbaB"}, {"aaaaababbbbaababbabb", "aaaabbAbAbAbabbAbbAb", "aaabAbbababAbAbAbAbb"}, {"aaaaababbbbaababbbab", "aaaabbAbAbAbabbAbAbb", "aaabAbbaabbAbAbAbAbb"}, {"aaaaababbbbaabbababb", "aaaabbAbAbAbabAbbbAb", "aaabAbabbabAbAbAbAbb"}, {"aaaaababbbbaabbabbab", "aaaabbAbAbAbabAbbAbb", "aaabAbababbAbAbAbAbb"}, {"aaaaababbbbaabbbabab", "aaaabbAbAbAbabAbAbbb", "aaababababaaBBBabaBB"}, {"aaaaababbbbabaababbb", "aaaabbAbAbAbbabbAbAb", "aaabbAbbaabAbAbAbAbb"}, {"aaaaababbbbabaabbabb", "aaaabbAbAbAbbabAbbAb", "aaabbAbababAbAbAbAbb"}, {"aaaaababbbbabaabbbab", "aaaabbAbAbAbbabAbAbb", "aaabbAbaabbAbAbAbAbb"}, {"aaaaababbbbababaabbb", "aaaabbAbAbAbbbabAbAb", "aaabaBBababababaaBBB"}, {"aaaaababbbbabababaBB", "aaaaabbAbAbAbbbbaBaB", "aaaabbbababababaaBBB"}, {"aaaaababbbbabababbaB", "aaaaabbAbAbAbbbbAbaB", "aaabaBBaBaBaBaBaabbb"}, {"aaaaababbbbabababbAb", "aaaababbaBBBBaababab", "aaabbbaaBabAbAbAbAbb"}, {"aaaaababbbbabababbAB", "aaaaabbAbAbAbbbbAbAB", "aaabbbaaBAbAbAbAbAbb"}, {"aaaaababbbbabababAbb", "aaaabbabaBBBBaababab", "aaabbbaBaabAbAbAbAbb"}, {"aaaaababbbbabababABB", "aaaaabbAbAbAbbbbABaB", "aaabbbaBAAbAbAbAbAbb"}, {"aaaaababbbbababaBabb", "aaaabbAbAbAbbbaBabAb", "aaabbaBababababaaBBB"}, {"aaaaababbbbababaBAbb", "aaaabbAbAbAbbbaBAbAb", "aaabbbABaabAbAbAbAbb"}, {"aaaaababbbbababaBABB", "aaaaabbAbAbAbbbaBBaB", "aaabbbABAAbAbAbAbAbb"}, {"aaaaababbbbababaBBab", "aaaabbAbAbAbbbaBaBab", "aaabbababababbAAAbbb"}, {"aaaaababbbbababaBBAb", "aaaabbAbAbAbbbaBaBAb", "aaabbbAABabAbAbAbAbb"}, {"aaaaababbbbababaBBAB", "aaaaabbAbAbAbbbaBaBB", "aaabbbAABAbAbAbAbAbb"}, {"aaaaababbbbababbaabb", "aaaabbAbAbAbbbAbabAb", "aaabbabAbabAbAbAbAbb"}, {"aaaaababbbbababbabaB", "aaaaabbAbAbAbbbAbbaB", "aaabbabbAAbAbAbAbAbb"}, {"aaaaababbbbababbabAb", "aaaabbAbAbAbbbAbbAAb", "aaabbabaBabAbAbAbAbb"}, {"aaaaababbbbababbabAB", "aaaaabbAbAbAbbbAbbAB", "aaabbabaBAbAbAbAbAbb"}, {"aaaaababbbbababbaBab", "aaaabbAbAbAbbbAbaBab", "aaabbabAAbbAbAbAbAbb"}, {"aaaaababbbbababbaBAb", "aaaabbAbAbAbbbAbaBAb", "aaabbabABabAbAbAbAbb"}, {"aaaaababbbbababbaBAB", "aaaaabbAbAbAbbbAbaBB", "aaabbabABAbAbAbAbAbb"}, {"aaaaababbbbababbbaab", "aaaabbAbAbAbbbAbAbab", "aaabbaabAbbAbAbAbAbb"}, {"aaaaababbbbababbAbab", "aaaabbAbAbAbbbAbAAbb", "aaabbaaBabbAbAbAbAbb"}, {"aaaaababbbbababbABab", "aaaabbAbAbAbbbAbABab", "aaabbaaBAbbAbAbAbAbb"}, {"aaaaababbbbababbABAb", "aaaabbAbAbAbbbAbABAb", "aaabbaaBBabAbAbAbAbb"}, {"aaaaababbbbababbABAB", "aaaaabbAbAbAbbbAbABB", "aaabbaaBBAbAbAbAbAbb"}, {"aaaaababbbbababAbabb", "aaaabbAbAbAbbbAAbbAb", "aaabbaBababAbAbAbAbb"}, {"aaaaababbbbababAbbab", "aaaabbAbAbAbbbAAbAbb", "aaabbaBaabbAbAbAbAbb"}, {"aaaaababbbbababABabb", "aaaabbAbAbAbbbABabAb", "aaabbaBAbabAbAbAbAbb"}, {"aaaaababbbbababABAbb", "aaaabbAbAbAbbbABAbAb", "aaabbaBBaabAbAbAbAbb"}, {"aaaaababbbbababABABB", "aaaaabbAbAbAbbbABBaB", "aaabbaBBAAbAbAbAbAbb"}, {"aaaaababbbbababABBab", "aaaabbAbAbAbbbABaBab", "aaabbaBAAbbAbAbAbAbb"}, {"aaaaababbbbababABBAb", "aaaabbAbAbAbbbABaBAb", "aaabbaBABabAbAbAbAbb"}, {"aaaaababbbbababABBAB", "aaaaabbAbAbAbbbABaBB", "aaabbaBABAbAbAbAbAbb"}, {"aaaaababbbbabaBababb", "aaaabbAbAbAbbaBabbAb", "aaabbAAbbabAbAbAbAbb"}, {"aaaaababbbbabaBabbab", "aaaabbAbAbAbbaBabAbb", "aaabbAAbabbAbAbAbAbb"}, {"aaaaababbbbabaBAbabb", "aaaabbAbAbAbbaBAbbAb", "aaabbABababAbAbAbAbb"}, {"aaaaababbbbabaBAbbab", "aaaabbAbAbAbbaBAbAbb", "aaabbABaabbAbAbAbAbb"}, {"aaaaababbbbabaBABabb", "aaaabbAbAbAbbaBBabAb", "aaabbABAbabAbAbAbAbb"}, {"aaaaababbbbabaBABAbb", "aaaabbAbAbAbbaBBAbAb", "aaabbABBaabAbAbAbAbb"}, {"aaaaababbbbabaBABABB", "aaaaabbAbAbAbbaBBBaB", "aaabbABBAAbAbAbAbAbb"}, {"aaaaababbbbabaBABBab", "aaaabbAbAbAbbaBBaBab", "aaabbABAAbbAbAbAbAbb"}, {"aaaaababbbbabaBABBAb", "aaaabbAbAbAbbaBBaBAb", "aaabbABABabAbAbAbAbb"}, {"aaaaababbbbabaBABBAB", "aaaaabbAbAbAbbaBBaBB", "aaabbABABAbAbAbAbAbb"}, {"aaaaababbbbabaBBabab", "aaaabbAbAbAbbaBaBabb", "aaababababaaBBBaabbb"}, {"aaaaababbbbabaBBAbab", "aaaabbAbAbAbbaBaBAbb", "aaabbAABabbAbAbAbAbb"}, {"aaaaababbbbabaBBABab", "aaaabbAbAbAbbaBaBBab", "aaabbAABAbbAbAbAbAbb"}, {"aaaaababbbbabaBBABAb", "aaaabbAbAbAbbaBaBBAb", "aaabbAABBabAbAbAbAbb"}, {"aaaaababbbbabaBBABAB", "aaaaabbAbAbAbbaBaBBB", "aaabbAABBAbAbAbAbAbb"}, {"aaaaababbbbabbaababb", "aaaabbAbAbAbbAbabbAb", "aaababAbbabAbAbAbAbb"}, {"aaaaababbbbabbaabbab", "aaaabbAbAbAbbAbabAbb", "aaababAbabbAbAbAbAbb"}, {"aaaaababbbbabbabaabb", "aaaabbAbAbAbbAbbabAb", "aaababbAbabAbAbAbAbb"}, {"aaaaababbbbabbababaB", "aaaaabbAbAbAbbAbbbaB", "aaababbbAAbAbAbAbAbb"}, {"aaaaababbbbabbababAb", "aaaabbAbAbAbbAbbbAAb", "aaababbaBabAbAbAbAbb"}, {"aaaaababbbbabbababAB", "aaaaabbAbAbAbbAbbbAB", "aaababbaBAbAbAbAbAbb"}, {"aaaaababbbbabbabaBab", "aaaabbAbAbAbbAbbaBab", "aaababbAAbbAbAbAbAbb"}, {"aaaaababbbbabbabaBAb", "aaaabbAbAbAbbAbbaBAb", "aaababbABabAbAbAbAbb"}, {"aaaaababbbbabbabaBAB", "aaaaabbAbAbAbbAbbaBB", "aaababbABAbAbAbAbAbb"}, {"aaaaababbbbabbabbaab", "aaaabbAbAbAbbAbbAbab", "aaabababAbbAbAbAbAbb"}, {"aaaaababbbbabbabAbab", "aaaabbAbAbAbbAbbAAbb", "aaababaBabbAbAbAbAbb"}, {"aaaaababbbbabbabABab", "aaaabbAbAbAbbAbbABab", "aaababaBAbbAbAbAbAbb"}, {"aaaaababbbbabbabABAb", "aaaabbAbAbAbbAbbABAb", "aaababaBBabAbAbAbAbb"}, {"aaaaababbbbabbabABAB", "aaaaabbAbAbAbbAbbABB", "aaababaBBAbAbAbAbAbb"}, {"aaaaababbbbabbaBabab", "aaaabbAbAbAbbAbaBabb", "aaababababaaBBBaBabb"}, {"aaaaababbbbabbaBAbab", "aaaabbAbAbAbbAbaBAbb", "aaababABabbAbAbAbAbb"}, {"aaaaababbbbabbaBABab", "aaaabbAbAbAbbAbaBBab", "aaababABAbbAbAbAbAbb"}, {"aaaaababbbbabbaBABAb", "aaaabbAbAbAbbAbaBBAb", "aaababABBabAbAbAbAbb"}, {"aaaaababbbbabbaBABAB", "aaaaabbAbAbAbbAbaBBB", "aaababABBAbAbAbAbAbb"}, {"aaaaababbbbabbbaabab", "aaaabbAbAbAbbAbAbabb", "aaabaabAbbbAbAbAbAbb"}, {"aaaaababbbbabbbabaab", "aaaabbAbAbAbbAbAbbab", "aaabaabbAbbAbAbAbAbb"}, {"aaaaababbbbabbAbabab", "aaaabbAbAbAbbAbAAbbb", "aaabaaBabbbAbAbAbAbb"}, {"aaaaababbbbabbABabab", "aaaabbAbAbAbbAbABabb", "aaabaaBAbbbAbAbAbAbb"}, {"aaaaababbbbabbABAbab", "aaaabbAbAbAbbAbABAbb", "aaabaaBBabbAbAbAbAbb"}, {"aaaaababbbbabbABABab", "aaaabbAbAbAbbAbABBab", "aaabaaBBAbbAbAbAbAbb"}, {"aaaaababbbbabbABABAb", "aaaabbAbAbAbbAbABBAb", "aaabaaBBBabAbAbAbAbb"}, {"aaaaababbbbabbABABAB", "aaaaabbAbAbAbbAbABBB", "aaabaaBBBAbAbAbAbAbb"}, {"aaaaababbbbabAbababb", "aaaabbAbAbAbbAAbbbAb", "aaabaBabbabAbAbAbAbb"}, {"aaaaababbbbabAbabbab", "aaaabbAbAbAbbAAbbAbb", "aaabaBababbAbAbAbAbb"}, {"aaaaababbbbabAbbabab", "aaaabbAbAbAbbAAbAbbb", "aaababababaaBBBaBABB"}, {"aaaaababbbbabABababb", "aaaabbAbAbAbbABabbAb", "aaabaBAbbabAbAbAbAbb"}, {"aaaaababbbbabABabbab", "aaaabbAbAbAbbABabAbb", "aaabaBAbabbAbAbAbAbb"}, {"aaaaababbbbabABAbabb", "aaaabbAbAbAbbABAbbAb", "aaabaBBababAbAbAbAbb"}, {"aaaaababbbbabABAbbab", "aaaabbAbAbAbbABAbAbb", "aaabaBBaabbAbAbAbAbb"}, {"aaaaababbbbabABABabb", "aaaabbAbAbAbbABBabAb", "aaabaBBAbabAbAbAbAbb"}, {"aaaaababbbbabABABAbb", "aaaabbAbAbAbbABBAbAb", "aaabaBBBaabAbAbAbAbb"}, {"aaaaababbbbabABABABB", "aaaaabbAbAbAbbABBBaB", "aaabaBBBAAbAbAbAbAbb"}, {"aaaaababbbbabABABBab", "aaaabbAbAbAbbABBaBab", "aaabaBBAAbbAbAbAbAbb"}, {"aaaaababbbbabABABBAb", "aaaabbAbAbAbbABBaBAb", "aaabaBBABabAbAbAbAbb"}, {"aaaaababbbbabABABBAB", "aaaaabbAbAbAbbABBaBB", "aaabaBBABAbAbAbAbAbb"}, {"aaaaababbbbabABBabab", "aaaabbAbAbAbbABaBabb", "aaababababaaBBBaBAbb"}, {"aaaaababbbbabABBAbab", "aaaabbAbAbAbbABaBAbb", "aaabaBABabbAbAbAbAbb"}, {"aaaaababbbbabABBABab", "aaaabbAbAbAbbABaBBab", "aaabaBABAbbAbAbAbAbb"}, {"aaaaababbbbabABBABAb", "aaaabbAbAbAbbABaBBAb", "aaabaBABBabAbAbAbAbb"}, {"aaaaababbbbabABBABAB", "aaaaabbAbAbAbbABaBBB", "aaabaBABBAbAbAbAbAbb"}, {"aaaaababbbbaBabababb", "aaaabbAbAbAbaBabbbAb", "aaabaBaBaBaBaabbbaBB"}, {"aaaaababbbbaBababbab", "aaaabbAbAbAbaBabbAbb", "aaabAAbbabbAbAbAbAbb"}, {"aaaaababbbbaBabbabab", "aaaabbAbAbAbaBabAbbb", "aaababababaaBBBabbaB"}, {"aaaaababbbbaBAbababb", "aaaabbAbAbAbaBAbbbAb", "aaabABabbabAbAbAbAbb"}, {"aaaaababbbbaBAbabbab", "aaaabbAbAbAbaBAbbAbb", "aaabABababbAbAbAbAbb"}, {"aaaaababbbbaBAbbabab", "aaaabbAbAbAbaBAbAbbb", "aaababababaaBBBabABB"}, {"aaaaababbbbaBABababb", "aaaabbAbAbAbaBBabbAb", "aaabABAbbabAbAbAbAbb"}, {"aaaaababbbbaBABabbab", "aaaabbAbAbAbaBBabAbb", "aaabABAbabbAbAbAbAbb"}, {"aaaaababbbbaBABAbabb", "aaaabbAbAbAbaBBAbbAb", "aaabABBababAbAbAbAbb"}, {"aaaaababbbbaBABAbbab", "aaaabbAbAbAbaBBAbAbb", "aaabABBaabbAbAbAbAbb"}, {"aaaaababbbbaBABABabb", "aaaabbAbAbAbaBBBabAb", "aaabABBAbabAbAbAbAbb"}, {"aaaaababbbbaBABABAbb", "aaaabbAbAbAbaBBBAbAb", "aaabbABABABABAAbbbAB"}, {"aaaaababbbbaBABABABB", "aaaaabbAbAbAbaBBBBaB", "aaabbAbAbAbAbAABBBAb"}, {"aaaaababbbbaBABABBab", "aaaabbAbAbAbaBBBaBab", "aaabABBAAbbAbAbAbAbb"}, {"aaaaababbbbaBABABBAb", "aaaabbAbAbAbaBBBaBAb", "aaabABBABabAbAbAbAbb"}, {"aaaaababbbbaBABABBAB", "aaaaabbAbAbAbaBBBaBB", "aaabABBABAbAbAbAbAbb"}, {"aaaaababbbbaBABBabab", "aaaabbAbAbAbaBBaBabb", "aaababababaaBBBabAbb"}, {"aaaaababbbbaBABBAbab", "aaaabbAbAbAbaBBaBAbb", "aaabABABabbAbAbAbAbb"}, {"aaaaababbbbaBABBABab", "aaaabbAbAbAbaBBaBBab", "aaabABABAbbAbAbAbAbb"}, {"aaaaababbbbaBABBABAb", "aaaabbAbAbAbaBBaBBAb", "aaabABABBabAbAbAbAbb"}, {"aaaaababbbbaBABBABAB", "aaaaabbAbAbAbaBBaBBB", "aaabABABBAbAbAbAbAbb"}, {"aaaaababbbbaBBababab", "aaaababababaaBBBabbb", "aaaabbAbAbAbaBaBabbb"}, {"aaaaababbbbaBBAbabab", "aaaabbAbAbAbaBaBAbbb", "aaababababaaBBBabbAB"}, {"aaaaababbbbaBBABabab", "aaaabbAbAbAbaBaBBabb", "aaababababaaBBBabbAb"}, {"aaaaababbbbaBBABAbab", "aaaabbAbAbAbaBaBBAbb", "aaabAABBabbAbAbAbAbb"}, {"aaaaababbbbaBBABABab", "aaaabbAbAbAbaBaBBBab", "aaabAABBAbbAbAbAbAbb"}, {"aaaaababbbbaBBABABAb", "aaaabbAbAbAbaBaBBBAb", "aaabAABBBabAbAbAbAbb"}, {"aaaaababbbbaBBABABAB", "aaaaabbAbAbAbaBaBBBB", "aaabAbAbAbAbAABBBAbb"}, {"aaaaababbbbbaabababb", "aaaabbAbAbAbAbabbbAb", "aaaabAbbbabAbAbAbAbb"}, {"aaaaababbbbbaababbab", "aaaabbAbAbAbAbabbAbb", "aaaabAbbabbAbAbAbAbb"}, {"aaaaababbbbbaabbabab", "aaaabbAbAbAbAbabAbbb", "aaaabAbabbbAbAbAbAbb"}, {"aaaaababbbbbabaBabab", "aaaabbAbAbAbAbbaBabb", "aaaabbAAbbbAbAbAbAbb"}, {"aaaaababbbbbabaBAbab", "aaaabbAbAbAbAbbaBAbb", "aaaabbABabbAbAbAbAbb"}, {"aaaaababbbbbabaBABab", "aaaabbAbAbAbAbbaBBab", "aaaabbABAbbAbAbAbAbb"}, {"aaaaababbbbbabaBABAb", "aaaabbAbAbAbAbbaBBAb", "aaaabbABBabAbAbAbAbb"}, {"aaaaababbbbbabaBABAB", "aaaaabbAbAbAbAbbaBBB", "aaaabbABBAbAbAbAbAbb"}, {"aaaaababbbbbabAbabab", "aaaabaBabbbAbAbAbAbb", "aaaabbAbAbAbAbbAAbbb"}, {"aaaaababbbbbabABabab", "aaaabaBAbbbAbAbAbAbb", "aaaabbAbAbAbAbbABabb"}, {"aaaaababbbbbabABAbab", "aaaabaBBabbAbAbAbAbb", "aaaabbAbAbAbAbbABAbb"}, {"aaaaababbbbbabABABab", "aaaabaBBAbbAbAbAbAbb", "aaaabbAbAbAbAbbABBab"}, {"aaaaababbbbbabABABAb", "aaaabaBBBabAbAbAbAbb", "aaaabbAbAbAbAbbABBAb"}, {"aaaaababbbbbabABABAB", "aaaaabbAbAbAbAbbABBB", "aaaabaBBBAbAbAbAbAbb"}, {"aaaaababbbbbaBababab", "aaaababababaaBBBBabb", "aaaabbAbAbAbAbaBabbb"}, {"aaaaababbbbbaBAbabab", "aaaabbAbAbAbAbaBAbbb", "aaaabABabbbAbAbAbAbb"}, {"aaaaababbbbbaBABabab", "aaaabbAbAbAbAbaBBabb", "aaaabABAbbbAbAbAbAbb"}, {"aaaaababbbbbaBABAbab", "aaaabbAbAbAbAbaBBAbb", "aaaabABBabbAbAbAbAbb"}, {"aaaaababbbbbaBABABab", "aaaabbAbAbAbAbaBBBab", "aaaabABBAbbAbAbAbAbb"}, {"aaaaababbbbbaBABABAb", "aaaabbAbAbAbAbaBBBAb", "aaaabABBBabAbAbAbAbb"}, {"aaaaababbbbbaBABABAB", "aaaaabbAbAbAbAbaBBBB", "aaaabABBBAbAbAbAbAbb"}, {"aaaaababbbbbAbababab", "aaaaabaBBBBABABABABB", "aaaabbbbaaBaBaBaBaBB"}, {"aaaaababbbbbABababab", "aaaaabABBBBABABABABB", "aaaabbAbAbAbAbABabbb"}, {"aaaaababbbbbABAbabab", "aaaaabbaBBBABABABABB", "aaaabbAbAbAbAbABAbbb"}, {"aaaaababbbbbABABabab", "aaaaabbABBBABABABABB", "aaaabbAbAbAbAbABBabb"}, {"aaaaababbbbbABABAbab", "aaaaabbbaBBABABABABB", "aaaabbAbAbAbAbABBAbb"}, {"aaaaababbbbbABABABab", "aaaaabbbABBABABABABB", "aaaabbAbAbAbAbABBBab"}, {"aaaaababbbbbABABABAb", "aaaaabbbbaBABABABABB", "aaaabbAbAbAbAbABBBAb"}, {"aaaaababbbbbABABABAB", "aaaaabbbbABABABABABB", "aaaaabbAbAbAbAbABBBB"}, {"aaaaababbbbAbabababb", "aaaabaBBBaBABABABABB", "aaaabaBBBBaababababb"}, {"aaaaababbbbAbababbab", "aaaabaBBaBBABABABABB", "aaaabbAbAbAbAAbbbAbb"}, {"aaaaababbbbAbabbabab", "aaaabaBaBBBABABABABB", "aaaabbAbAbAbAAbbAbbb"}, {"aaaaababbbbAbbababab", "aaaabaaBBBBABABABABB", "aaaabbbbaaBaBaBaBBaB"}, {"aaaaababbbbABabababb", "aaaabbAbAbAbABabbbAb", "aaaabABBBaBABABABABB"}, {"aaaaababbbbABababbab", "aaaabbAbAbAbABabbAbb", "aaaabABBaBBABABABABB"}, {"aaaaababbbbABabbabab", "aaaabbAbAbAbABabAbbb", "aaaabABaBBBABABABABB"}, {"aaaaababbbbABAbababb", "aaaabbaBBaBABABABABB", "aaaabbAbAbAbABAbbbAb"}, {"aaaaababbbbABAbabbab", "aaaabbaBaBBABABABABB", "aaaabbAbAbAbABAbbAbb"}, {"aaaaababbbbABAbbabab", "aaaabbaaBBBABABABABB", "aaaabbAbAbAbABAbAbbb"}, {"aaaaababbbbABABababb", "aaaabbAbAbAbABBabbAb", "aaaabbABBaBABABABABB"}, {"aaaaababbbbABABabbab", "aaaabbAbAbAbABBabAbb", "aaaabbABaBBABABABABB"}, {"aaaaababbbbABABAbabb", "aaaabbbaBaBABABABABB", "aaaabbAbAbAbABBAbbAb"}, {"aaaaababbbbABABAbbab", "aaaabbbaaBBABABABABB", "aaaabbAbAbAbABBAbAbb"}, {"aaaaababbbbABABABabb", "aaaabbbABaBABABABABB", "aaaabbAbAbAbABBBabAb"}, {"aaaaababbbbABABABAbb", "aaaabbbbaaBABABABABB", "aaaabbAbAbAbABBBAbAb"}, {"aaaaababbbbABABABABB", "aaaaabbAbAbAbABBBBaB", "aaaabbbbAABABABABABB"}, {"aaaaababbbbABABABBab", "aaaabbbAABBABABABABB", "aaaabbAbAbAbABBBaBab"}, {"aaaaababbbbABABABBAb", "aaaabbbAbaBABABABABB", "aaaabbAbAbAbABBBaBAb"}, {"aaaaababbbbABABABBAB", "aaaaabbAbAbAbABBBaBB", "aaaabbbAbABABABABABB"}, {"aaaaababbbbABABBabab", "aaaabbAbAbAbABBaBabb", "aaaabbAABBBABABABABB"}, {"aaaaababbbbABABBAbab", "aaaabbAbaBBABABABABB", "aaaabbAbAbAbABBaBAbb"}, {"aaaaababbbbABABBABab", "aaaabbAbAbAbABBaBBab", "aaaabbAbABBABABABABB"}, {"aaaaababbbbABABBABAb", "aaaabbAbbaBABABABABB", "aaaabbAbAbAbABBaBBAb"}, {"aaaaababbbbABABBABAB", "aaaaabbAbAbAbABBaBBB", "aaaabbAbbABABABABABB"}, {"aaaaababbbbABBababab", "aaaababababaaBBBBAbb", "aaaabbAbAbAbABaBabbb"}, {"aaaaababbbbABBAbabab", "aaaabbAbAbAbABaBAbbb", "aaaabAbaBBBABABABABB"}, {"aaaaababbbbABBABabab", "aaaabbAbAbAbABaBBabb", "aaaabAbABBBABABABABB"}, {"aaaaababbbbABBABAbab", "aaaabbAbAbAbABaBBAbb", "aaaabAbbaBBABABABABB"}, {"aaaaababbbbABBABABab", "aaaabbAbAbAbABaBBBab", "aaaabAbbABBABABABABB"}, {"aaaaababbbbABBABABAb", "aaaabbAbAbAbABaBBBAb", "aaaabAbbbaBABABABABB"}, {"aaaaababbbbABBABABAB", "aaaaabbAbAbAbABaBBBB", "aaaabAbbbABABABABABB"}, {"aaaaababbbAbabababbb", "aaaababaBBBBaabababb", "aaabaBBBaaBABABABABB"}, {"aaaaababbbAbababbabb", "aaaabbAbAbAAbbbAbbAb", "aaabaBBaBaBABABABABB"}, {"aaaaababbbAbababbbab", "aaaabbAbAbAAbbbAbAbb", "aaabaBBaaBBABABABABB"}, {"aaaaababbbAbabbababb", "aaaabbAbAbAAbbAbbbAb", "aaabaBaBBaBABABABABB"}, {"aaaaababbbAbabbabbab", "aaaabbAbAbAAbbAbbAbb", "aaabaBaBaBBABABABABB"}, {"aaaaababbbAbabbbabab", "aaaabbAbAbAAbbAbAbbb", "aaababababaaBBBABaBB"}, {"aaaaababbbAbbabababb", "aaaabaBBBBaabababbab", "aaabaaBBBaBABABABABB"}, {"aaaaababbbAbbababbab", "aaaabbAbAbAAbAbbbAbb", "aaabaaBBaBBABABABABB"}, {"aaaaababbbAbbabbabab", "aaaabbAbAbAAbAbbAbbb", "aaabaaBaBBBABABABABB"}, {"aaaaababbbAbbbababab", "aaaababababaaBBBABBB", "aaaabbbbaaBaBaBBaBaB"}, {"aaaaababbbABabababbb", "aaaabbAbAbABabbbAbAb", "aaabbaBaBaBaBaabbbAB"}, {"aaaaababbbABababbabb", "aaaabbAbAbABabbAbbAb", "aaabABBaBaBABABABABB"}, {"aaaaababbbABababbbab", "aaaabbAbAbABabbAbAbb", "aaabABBaaBBABABABABB"}, {"aaaaababbbABabbababb", "aaaabbAbAbABabAbbbAb", "aaabABaBBaBABABABABB"}, {"aaaaababbbABabbabbab", "aaaabbAbAbABabAbbAbb", "aaabABaBaBBABABABABB"}, {"aaaaababbbABabbbabab", "aaaabbAbAbABabAbAbbb", "aaababababaaBBBAbaBB"}, {"aaaaababbbABAbababbb", "aaaabbAbAbABAbbbAbAb", "aaabbaBBaaBABABABABB"}, {"aaaaababbbABAbabbabb", "aaaabbAbAbABAbbAbbAb", "aaabbaBaBaBABABABABB"}, {"aaaaababbbABAbabbbab", "aaaabbAbAbABAbbAbAbb", "aaabbaBaaBBABABABABB"}, {"aaaaababbbABAbbababb", "aaaabbAbAbABAbAbbbAb", "aaabbaaBBaBABABABABB"}, {"aaaaababbbABAbbabbab", "aaaabbAbAbABAbAbbAbb", "aaabbaaBaBBABABABABB"}, {"aaaaababbbABAbbbabab", "aaaabbAbAbABAbAbAbbb", "aaababababaaBBBAABBB"}, {"aaaaababbbABABababbb", "aaaabbAbAbABBabbAbAb", "aaabbABBaaBABABABABB"}, {"aaaaababbbABABabbabb", "aaaabbAbAbABBabAbbAb", "aaabbABaBaBABABABABB"}, {"aaaaababbbABABabbbab", "aaaabbAbAbABBabAbAbb", "aaabbABaaBBABABABABB"}, {"aaaaababbbABABAbabbb", "aaaabbAbAbABBAbbAbAb", "aaabbbaBaaBABABABABB"}, {"aaaaababbbABABAbbabb", "aaaabbAbAbABBAbAbbAb", "aaabbbaaBaBABABABABB"}, {"aaaaababbbABABAbbbab", "aaaabbAbAbABBAbAbAbb", "aaabbbaaaBBABABABABB"}, {"aaaaababbbABABABabbb", "aaaabbAbAbABBBabAbAb", "aaabbbABaaBABABABABB"}, {"aaaaababbbABABABAbbb", "aaaabbbABABABABAAbbb", "aaaabbAbAbABBBAbAbAb"}, {"aaaaababbbABABABABBB", "aaaaabbAbAbABBBBaBaB", "aaaabbbAbAbAbAbAABBB"}, {"aaaaababbbABABABBabb", "aaaabbAbAbABBBaBabAb", "aaabbbAABaBABABABABB"}, {"aaaaababbbABABABBAbb", "aaaabbAbAbABBBaBAbAb", "aaabaBBAbAbAbAbAABBB"}, {"aaaaababbbABABABBABB", "aaaaabbAbAbABBBaBBaB", "aaababbAbAbAbAbAABBB"}, {"aaaaababbbABABABBBab", "aaaabbAbAbABBBaBaBab", "aaabbababababbAAABBB"}, {"aaaaababbbABABABBBAb", "aaaabbAbAbABBBaBaBAb", "aaabbaBAbAbAbAbAABBB"}, {"aaaaababbbABABABBBAB", "aaaaabbAbAbABBBaBaBB", "aaabbabAbAbAbAbAABBB"}, {"aaaaababbbABABBababb", "aaaabbAbAbABBaBabbAb", "aaabbAABBaBABABABABB"}, {"aaaaababbbABABBabbab", "aaaabbAbAbABBaBabAbb", "aaabbAABaBBABABABABB"}, {"aaaaababbbABABBAbabb", "aaaabbAbAbABBaBAbbAb", "aaabbAbaBaBABABABABB"}, {"aaaaababbbABABBAbbab", "aaaabbAbAbABBaBAbAbb", "aaabbAbaaBBABABABABB"}, {"aaaaababbbABABBABabb", "aaaabbAbAbABBaBBabAb", "aaabbAbABaBABABABABB"}, {"aaaaababbbABABBABAbb", "aaaabbAbAbABBaBBAbAb", "aaabbAbbaaBABABABABB"}, {"aaaaababbbABABBABABB", "aaaaabbAbAbABBaBBBaB", "aaabbAbbAABABABABABB"}, {"aaaaababbbABABBABBab", "aaaabbAbAbABBaBBaBab", "aaabbAbAABBABABABABB"}, {"aaaaababbbABABBABBAb", "aaaabbAbAbABBaBBaBAb", "aaabbAbAbaBABABABABB"}, {"aaaaababbbABABBABBAB", "aaaaabbAbAbABBaBBaBB", "aaabbAbAbABABABABABB"}, {"aaaaababbbABABBBabab", "aaaabbAbAbABBaBaBabb", "aaababababaaBBBAAbbb"}, {"aaaaababbbABABBBAbab", "aaaabbAbAbABBaBaBAbb", "aaabbAAbaBBABABABABB"}, {"aaaaababbbABABBBABab", "aaaabbAbAbABBaBaBBab", "aaabbAAbABBABABABABB"}, {"aaaaababbbABABBBABAb", "aaaabbAbAbABBaBaBBAb", "aaabbAAbbaBABABABABB"}, {"aaaaababbbABABBBABAB", "aaaaabbAbAbABBaBaBBB", "aaabbAAbbABABABABABB"}, {"aaaaababbbABBabababb", "aaaabbAbAbABaBabbbAb", "aaabaBaBaBaBaabbbABB"}, {"aaaaababbbABBababbab", "aaaabbAbAbABaBabbAbb", "aaabAABBaBBABABABABB"}, {"aaaaababbbABBabbabab", "aaaabbAbAbABaBabAbbb", "aaababababaaBBBAbbaB"}, {"aaaaababbbABBAbababb", "aaaabbAbAbABaBAbbbAb", "aaabAbaBBaBABABABABB"}, {"aaaaababbbABBAbabbab", "aaaabbAbAbABaBAbbAbb", "aaabAbaBaBBABABABABB"}, {"aaaaababbbABBAbbabab", "aaaabbAbAbABaBAbAbbb", "aaababababaaBBBAbABB"}, {"aaaaababbbABBABababb", "aaaabbAbAbABaBBabbAb", "aaabAbABBaBABABABABB"}, {"aaaaababbbABBABabbab", "aaaabbAbAbABaBBabAbb", "aaabAbABaBBABABABABB"}, {"aaaaababbbABBABAbabb", "aaaabbAbAbABaBBAbbAb", "aaabAbbaBaBABABABABB"}, {"aaaaababbbABBABAbbab", "aaaabbAbAbABaBBAbAbb", "aaabAbbaaBBABABABABB"}, {"aaaaababbbABBABABabb", "aaaabbAbAbABaBBBabAb", "aaabAbbABaBABABABABB"}, {"aaaaababbbABBABABAbb", "aaaabbAbAbABaBBBAbAb", "aaabbABABABABAAbbbaB"}, {"aaaaababbbABBABABABB", "aaaaabbAbAbABaBBBBaB", "aaabbAbAbAbAbAABBBab"}, {"aaaaababbbABBABABBab", "aaaabbAbAbABaBBBaBab", "aaabAbbAABBABABABABB"}, {"aaaaababbbABBABABBAb", "aaaabbAbAbABaBBBaBAb", "aaabAbbAbaBABABABABB"}, {"aaaaababbbABBABABBAB", "aaaaabbAbAbABaBBBaBB", "aaabAbbAbABABABABABB"}, {"aaaaababbbABBABBabab", "aaaabbAbAbABaBBaBabb", "aaababababaaBBBAbAbb"}, {"aaaaababbbABBABBAbab", "aaaabbAbAbABaBBaBAbb", "aaabAbAbaBBABABABABB"}, {"aaaaababbbABBABBABab", "aaaabbAbAbABaBBaBBab", "aaabAbAbABBABABABABB"}, {"aaaaababbbABBABBABAb", "aaaabbAbAbABaBBaBBAb", "aaabAbAbbaBABABABABB"}, {"aaaaababbbABBABBABAB", "aaaaabbAbAbABaBBaBBB", "aaabAbAbbABABABABABB"}, {"aaaaababbbABBBababab", "aaaababababaaBBBAbbb", "aaaabbAbAbABaBaBabbb"}, {"aaaaababbbABBBAbabab", "aaaabbAbAbABaBaBAbbb", "aaababababaaBBBAbbAB"}, {"aaaaababbbABBBABabab", "aaaabbAbAbABaBaBBabb", "aaababababaaBBBAbbAb"}, {"aaaaababbbABBBABAbab", "aaaabbAbAbABaBaBBAbb", "aaabAAbbaBBABABABABB"}, {"aaaaababbbABBBABABab", "aaaabbAbAbABaBaBBBab", "aaabAAbbABBABABABABB"}, {"aaaaababbbABBBABABAb", "aaaabbAbAbABaBaBBBAb", "aaabAAbbbaBABABABABB"}, {"aaaaababbbABBBABABAB", "aaaaabbAbAbABaBaBBBB", "aaabAbAbAbAbAABBBabb"}, {"aaaaababbAbabababbbb", "aaaabababaBBBBaababb", "aaabbbaBaBaBaBaabbAb"}, {"aaaaababbAbababbabbb", "aaaabbAbAAbbbAbbAbAb", "aababbaBaBaBaBaabbAb"}, {"aaaaababbAbababbbabb", "aaaabbAbAAbbbAbAbbAb", "aababAbAbAbAbbaaBabb"}, {"aaaaababbAbababbbbab", "aaaabbAbAAbbbAbAbAbb", "aaabbAbAbAbAbbaaBabb"}, {"aaaaababbAbabbababbb", "aaaabbAbAAbbAbbbAbAb", "aabaBaBBaaBABABABABB"}, {"aaaaababbAbabbabbabb", "aaaabbAbAAbbAbbAbbAb", "aabaBaBaBaBABABABABB"}, {"aaaaababbAbabbabbbab", "aaaabbAbAAbbAbbAbAbb", "aababababaaBBABaBaBB"}, {"aaaaababbAbabbbababb", "aaaabbAbAAbbAbAbbbAb", "aabaBaaBBaBABABABABB"}, {"aaaaababbAbabbbabbab", "aaaabbAbAAbbAbAbbAbb", "aababababaaBBABaBBaB"}, {"aaaaababbAbabbbbabab", "aaaabbAbAAbbAbAbAbbb", "aaababababaaBBABaBBB"}, {"aaaaababbAbbabababbb", "aaaababaBBBBaababbab", "aaabbaBaBaBaBaabbAbb"}, {"aaaaababbAbbababbabb", "aaaabbAbAAbAbbbAbbAb", "aabaaBBaBaBABABABABB"}, {"aaaaababbAbbababbbab", "aaaabbAbAAbAbbbAbAbb", "aabaaBBaaBBABABABABB"}, {"aaaaababbAbbabbababb", "aaaabbAbAAbAbbAbbbAb", "aabaaBaBBaBABABABABB"}, {"aaaaababbAbbabbabbab", "aaaabbAbAAbAbbAbbAbb", "aabaaBaBaBBABABABABB"}, {"aaaaababbAbbabbbabab", "aaaabbAbAAbAbbAbAbbb", "aaababababaaBBABBaBB"}, {"aaaaababbAbbbabababb", "aaaabaBBBBaababbabab", "aaabaBaBaBaBaabbAbbb"}, {"aaaaababbAbbbababbab", "aaaabbAbAAbAbAbbbAbb", "aaabbabbAbAbAbAbbaaB"}, {"aaaaababbAbbbabbabab", "aaaabbAbAAbAbAbbAbbb", "aaababababaaBBABBBaB"}, {"aaaaababbAbbbbababab", "aaaababababaaBBABBBB", "aaaabbbbaaBaBBaBaBaB"}, {"aaaaababbABabababbbb", "aaaabbAbABabbbAbAbAb", "aaabbbaBaBaBaBaabbAB"}, {"aaaaababbABababbabbb", "aaaabbAbABabbAbbAbAb", "aababbaBaBaBaBaabbAB"}, {"aaaaababbABababbbabb", "aaaabbAbABabbAbAbbAb", "aababAbAbAbAbbaaBAbb"}, {"aaaaababbABababbbbab", "aaaabbAbABabbAbAbAbb", "aaabbAbAbAbAbbaaBAbb"}, {"aaaaababbABabbababbb", "aaaabbAbABabAbbbAbAb", "aabbaBaBaBaBaabbABab"}, {"aaaaababbABabbabbabb", "aaaabbAbABabAbbAbbAb", "aabbABabababaBaBaBaB"}, {"aaaaababbABabbabbbab", "aaaabbAbABabAbbAbAbb", "aababababaaBBAbaBaBB"}, {"aaaaababbABabbbababb", "aaaabbAbABabAbAbbbAb", "aabaBaBaBaBaabbABabb"}, {"aaaaababbABabbbabbab", "aaaabbAbABabAbAbbAbb", "aababababaaBBAbaBBaB"}, {"aaaaababbABabbbbabab", "aaaabbAbABabAbAbAbbb", "aaababababaaBBAbaBBB"}, {"aaaaababbABAbababbbb", "aaaabbAbABAbbbAbAbAb", "aaabAbAbAbAbbaaBBabb"}, {"aaaaababbABAbabbabbb", "aaaabbAbABAbbAbbAbAb", "aabbaBaBaaBABABABABB"}, {"aaaaababbABAbabbbabb", "aaaabbAbABAbbAbAbbAb", "aababAbAbAbAbbaaBBab"}, {"aaaaababbABAbabbbbab", "aaaabbAbABAbbAbAbAbb", "aaabbAbAbAbAbbaaBBab"}, {"aaaaababbABAbbababbb", "aaaabbAbABAbAbbbAbAb", "aabbaabAbAbAbAbbaaBB"}, {"aaaaababbABAbbabbabb", "aaaabbAbABAbAbbAbbAb", "aabababAbAbAbAbbaaBB"}, {"aaaaababbABAbbabbbab", "aaaabbAbABAbAbbAbAbb", "aabaabbAbAbAbAbbaaBB"}, {"aaaaababbABAbbbababb", "aaaabbAbABAbAbAbbbAb", "aaabbabAbAbAbAbbaaBB"}, {"aaaaababbABAbbbabbab", "aaaabbAbABAbAbAbbAbb", "aaababbAbAbAbAbbaaBB"}, {"aaaaababbABAbbbbabab", "aaaabbbAbAbAbAbbaaBB", "aaaabbAbABAbAbAbAbbb"}, {"aaaaababbABABababbbb", "aaaabbAbABBabbAbAbAb", "aaabAbAbAbAbbaaBBAbb"}, {"aaaaababbABABabbabbb", "aaaabbAbABBabAbbAbAb", "aabbAABababbaBaBaBaB"}, {"aaaaababbABABabbbabb", "aaaabbAbABBabAbAbbAb", "aababAbAbAbAbbaaBBAb"}, {"aaaaababbABABabbbbab", "aaaabbAbABBabAbAbAbb", "aaabbAbAbAbAbbaaBBAb"}, {"aaaaababbABABAbabbbb", "aaaabbAbABBAbbAbAbAb", "aaabAbbbABABABABAAbb"}, {"aaaaababbABABAbbabbb", "aaaabbAbABBAbAbbAbAb", "aaabbAbbABABABABAAbb"}, {"aaaaababbABABAbbbabb", "aaaabbAbABBAbAbAbbAb", "aaababAbAbAbAbbaaBBB"}, {"aaaaababbABABAbbbbab", "aaaabbAbAbAbAbbaaBBB", "aaaabbAbABBAbAbAbAbb"}, {"aaaaababbABABABabbbb", "aaaabbAbABBBabAbAbAb", "aaabAbAbAbAbbaaBBBAb"}, {"aaaaababbABABABAbbbb", "aaaabbbbABABABABAAbb", "aaaabbAbABBBAbAbAbAb"}, {"aaaaababbABABABABBBB", "aaaaabbAbABBBBaBaBaB", "aaaabababababbAABBBB"}, {"aaaaababbABABABBabbb", "aaaabbAbABBBaBabAbAb", "aaabbABBAbAbAbAbAABB"}, {"aaaaababbABABABBAbbb", "aaaabbAbABBBaBAbAbAb", "aaabaBBBAbAbAbAbAABB"}, {"aaaaababbABABABBABBB", "aaaaabbAbABBBaBBaBaB", "aaabababababbAABBBaB"}, {"aaaaababbABABABBBabb", "aaaabbAbABBBaBaBabAb", "aaabbbABAbAbAbAbAABB"}, {"aaaaababbABABABBBAbb", "aaaabbAbABBBaBaBAbAb", "aaabbaBBAbAbAbAbAABB"}, {"aaaaababbABABABBBABB", "aaaaabbAbABBBaBaBBaB", "aaabbabbAbAbAbAbAABB"}, {"aaaaababbABABABBBBab", "aaaabbababababbAABBB", "aaaabbAbABBBaBaBaBab"}, {"aaaaababbABABABBBBAb", "aaaabbAbABBBaBaBaBAb", "aaabbbaBAbAbAbAbAABB"}, {"aaaaababbABABABBBBAB", "aaaaabbAbABBBaBaBaBB", "aaabaBaBaBaBaBBAAbbb"}, {"aaaaababbABABBababbb", "aaaabbAbABBaBabbAbAb", "aabbaBaBaBaBaabbAABB"}, {"aaaaababbABABBabbabb", "aaaabbAbABBaBabAbbAb", "aabbAABaBaBABABABABB"}, {"aaaaababbABABBabbbab", "aaaabbAbABBaBabAbAbb", "aababababaaBBAAbbaBB"}, {"aaaaababbABABBAbabbb", "aaaabbAbABBaBAbbAbAb", "aabaBABBAbAbAbAbAABB"}, {"aaaaababbABABBAbbabb", "aaaabbAbABBaBAbAbbAb", "aababAbAbAbAbbaaBBAB"}, {"aaaaababbABABBAbbbab", "aaaabbAbABBaBAbAbAbb", "aaabbAbAbAbAbbaaBBAB"}, {"aaaaababbABABBABabbb", "aaaabbAbABBaBBabAbAb", "aababABBAbAbAbAbAABB"}, {"aaaaababbABABBABAbbb", "aaaabbAbABBaBBAbAbAb", "aaabAbAbAbAbbaaBBABB"}, {"aaaaababbABABBABABBB", "aaaaabbAbABBaBBBaBaB", "aaabababababbAABBaBB"}, {"aaaaababbABABBABBabb", "aaaabbAbABBaBBaBabAb", "aababbABAbAbAbAbAABB"}, {"aaaaababbABABBABBAbb", "aaaabbAbABBaBBaBAbAb", "aababaBBAbAbAbAbAABB"}, {"aaaaababbABABBABBABB", "aaaaabbAbABBaBBaBBaB", "aabababababbAABBaBaB"}, {"aaaaababbABABBABBBab", "aaaabbAbABBaBBaBaBab", "aaabbababababbAABBaB"}, {"aaaaababbABABBABBBAb", "aaaabbAbABBaBBaBaBAb", "aababbaBAbAbAbAbAABB"}, {"aaaaababbABABBABBBAB", "aaaaabbAbABBaBBaBaBB", "aababbabAbAbAbAbAABB"}, {"aaaaababbABABBBababb", "aaaabbAbABBaBaBabbAb", "aaabbAbababababbAABB"}, {"aaaaababbABABBBabbab", "aaaabbAbABBaBaBabAbb", "aaabAbbababababbAABB"}, {"aaaaababbABABBBAbabb", "aaaabbAbABBaBaBAbbAb", "aabbaBABAbAbAbAbAABB"}, {"aaaaababbABABBBAbbab", "aaaabbAbABBaBaBAbAbb", "aababababaaBBAAbbABB"}, {"aaaaababbABABBBABabb", "aaaabbAbABBaBaBBabAb", "aabaBABaBaBaBaBBAAbb"}, {"aaaaababbABABBBABAbb", "aaaabbAbABBaBaBBAbAb", "aabbaaBBAbAbAbAbAABB"}, {"aaaaababbABABBBABABB", "aaaaabbAbABBaBaBBBaB", "aabababababbAABBaaBB"}, {"aaaaababbABABBBABBab", "aaaabbAbABBaBaBBaBab", "aabaaBBaBaBaBaBBAAbb"}, {"aaaaababbABABBBABBAb", "aaaabbAbABBaBaBBaBAb", "aababABaBaBaBaBBAAbb"}, {"aaaaababbABABBBABBAB", "aaaaabbAbABBaBaBBaBB", "aababaBaBaBaBaBBAAbb"}, {"aaaaababbABABBBBabab", "aaaabbbababababbAABB", "aaaabbAbABBaBaBaBabb"}, {"aaaaababbABABBBBAbab", "aaaabbAbABBaBaBaBAbb", "aaabABBaBaBaBaBBAAbb"}, {"aaaaababbABABBBBABab", "aaaabbAbABBaBaBaBBab", "aaabaBBaBaBaBaBBAAbb"}, {"aaaaababbABABBBBABAb", "aaaabbAbABBaBaBaBBAb", "aaabbABaBaBaBaBBAAbb"}, {"aaaaababbABABBBBABAB", "aaaaabbAbABBaBaBaBBB", "aaabbaBaBaBaBaBBAAbb"}, {"aaaaababbABBabababbb", "aaaabbAbABaBabbbAbAb", "aaabbaBaBaBaBaabbABB"}, {"aaaaababbABBababbabb", "aaaabbAbABaBabbAbbAb", "aababaBaBaBaBaabbABB"}, {"aaaaababbABBababbbab", "aaaabbAbABaBabbAbAbb", "aababababaaBBAbbaaBB"}, {"aaaaababbABBabbababb", "aaaabbAbABaBabAbbbAb", "aabaBaBaBaBaabbABBab"}, {"aaaaababbABBabbabbab", "aaaabbAbABaBabAbbAbb", "aababababaaBBAbbaBaB"}, {"aaaaababbABBabbbabab", "aaaabbAbABaBabAbAbbb", "aaababababaaBBAbbaBB"}, {"aaaaababbABBAbababbb", "aaaabbAbABaBAbbbAbAb", "aabbaBaBaBaBaabbABAb"}, {"aaaaababbABBAbabbabb", "aaaabbAbABaBAbbAbbAb", "aabbABAbababaBaBaBaB"}, {"aaaaababbABBAbabbbab", "aaaabbAbABaBAbbAbAbb", "aababababaaBBAbABaBB"}, {"aaaaababbABBAbbababb", "aaaabbAbABaBAbAbbbAb", "aabaBaBaBaBaabbABAbb"}, {"aaaaababbABBAbbabbab", "aaaabbAbABaBAbAbbAbb", "aababababaaBBAbABBaB"}, {"aaaaababbABBAbbbabab", "aaaabbAbABaBAbAbAbbb", "aaababababaaBBAbABBB"}, {"aaaaababbABBABababbb", "aaaabbAbABaBBabbAbAb", "aabbaBaBaBaBaabbABAB"}, {"aaaaababbABBABabbabb", "aaaabbAbABaBBabAbbAb", "aabbABABababaBaBaBaB"}, {"aaaaababbABBABabbbab", "aaaabbAbABaBBabAbAbb", "aababababaaBBAbAbaBB"}, {"aaaaababbABBABAbabbb", "aaaabbAbABaBBAbbAbAb", "aabbABAAbabbaBaBaBaB"}, {"aaaaababbABBABAbbabb", "aaaabbAbABaBBAbAbbAb", "aababAbAbAbAbbaaBABB"}, {"aaaaababbABBABAbbbab", "aaaabbAbABaBBAbAbAbb", "aaabbAbAbAbAbbaaBABB"}, {"aaaaababbABBABABabbb", "aaaabbAbABaBBBabAbAb", "aabbABAABabbaBaBaBaB"}, {"aaaaababbABBABABAbbb", "aaaabbAbABaBBBAbAbAb", "aaabbbABABABABAAbbaB"}, {"aaaaababbABBABABABBB", "aaaaabbAbABaBBBBaBaB", "aaabababababbAABaBBB"}, {"aaaaababbABBABABBabb", "aaaabbAbABaBBBaBabAb", "aabbABAbAbAbAbAABBab"}, {"aaaaababbABBABABBAbb", "aaaabbAbABaBBBaBAbAb", "aabaBBAbAbAbAbAABBab"}, {"aaaaababbABBABABBABB", "aaaaabbAbABaBBBaBBaB", "aabababababbAABaBBaB"}, {"aaaaababbABBABABBBab", "aaaabbAbABaBBBaBaBab", "aaabbababababbAABaBB"}, {"aaaaababbABBABABBBAb", "aaaabbAbABaBBBaBaBAb", "aabbaBAbAbAbAbAABBab"}, {"aaaaababbABBABABBBAB", "aaaaabbAbABaBBBaBaBB", "aabaBaBaBaBaBBAAbabb"}, {"aaaaababbABBABBababb", "aaaabbAbABaBBaBabbAb", "aabaBaBaBaBaabbABABB"}, {"aaaaababbABBABBabbab", "aaaabbAbABaBBaBabAbb", "aababababaaBBAbAbbaB"}, {"aaaaababbABBABBAbabb", "aaaabbAbABaBBaBAbbAb", "aabbABABAbabaBaBaBaB"}, {"aaaaababbABBABBAbbab", "aaaabbAbABaBBaBAbAbb", "aababababaaBBAbAbABB"}, {"aaaaababbABBABBABabb", "aaaabbAbABaBBaBBabAb", "aabbABABABabaBaBaBaB"}, {"aaaaababbABBABBABAbb", "aaaabbAbABaBBaBBAbAb", "aabbABABAAbbaBaBaBaB"}, {"aaaaababbABBABBABABB", "aaaaabbAbABaBBaBBBaB", "aabababababbAABaBaBB"}, {"aaaaababbABBABBABBab", "aaaabbAbABaBBaBBaBab", "aababababaaBBAbAbAbb"}, {"aaaaababbABBABBABBAb", "aaaabbAbABaBBaBBaBAb", "aabbABABABAbaBaBaBaB"}, {"aaaaababbABBABBABBAB", "aaaaabbAbABaBBaBBaBB", "aabbABABABABaBaBaBaB"}, {"aaaaababbABBABBBabab", "aaaabbAbABaBBaBaBabb", "aaababababaaBBAbAbbb"}, {"aaaaababbABBABBBAbab", "aaaabbAbABaBBaBaBAbb", "aababababaaBBAbAbbAB"}, {"aaaaababbABBABBBABab", "aaaabbAbABaBBaBaBBab", "aababababaaBBAbAbbAb"}, {"aaaaababbABBABBBABAb", "aaaabbAbABaBBaBaBBAb", "aabbABaBaBaBaBBAAbab"}, {"aaaaababbABBABBBABAB", "aaaaabbAbABaBBaBaBBB", "aabbaBaBaBaBaBBAAbab"}, {"aaaaababbABBBabababb", "aaaabbAbABaBaBabbbAb", "aaabaBaBaBaBaabbABBB"}, {"aaaaababbABBBababbab", "aaaabbAbABaBaBabbAbb", "aaabbAbbababababbAAB"}, {"aaaaababbABBBabbabab", "aaaabbAbABaBaBabAbbb", "aaababababaaBBAbbbaB"}, {"aaaaababbABBBAbababb", "aaaabbAbABaBaBAbbbAb", "aabaBaBaBaBaabbABBAb"}, {"aaaaababbABBBAbabbab", "aaaabbAbABaBaBAbbAbb", "aababababaaBBAbbABaB"}, {"aaaaababbABBBAbbabab", "aaaabbAbABaBaBAbAbbb", "aaababababaaBBAbbABB"}, {"aaaaababbABBBABababb", "aaaabbAbABaBaBBabbAb", "aabaBaBaBaBaabbABBAB"}, {"aaaaababbABBBABabbab", "aaaabbAbABaBaBBabAbb", "aababababaaBBAbbAbaB"}, {"aaaaababbABBBABAbabb", "aaaabbAbABaBaBBAbbAb", "aabbABABaBaBaBaBBAAb"}, {"aaaaababbABBBABAbbab", "aaaabbAbABaBaBBAbAbb", "aababababaaBBAbbAABB"}, {"aaaaababbABBBABABabb", "aaaabbAbABaBaBBBabAb", "aabbaBABaBaBaBaBBAAb"}, {"aaaaababbABBBABABAbb", "aaaabbAbABaBaBBBAbAb", "aaabbABABABABAAbbaBB"}, {"aaaaababbABBBABABABB", "aaaaabbAbABaBaBBBBaB", "aaabbAbAbAbAbAABBabb"}, {"aaaaababbABBBABABBab", "aaaabbAbABaBaBBBaBab", "aababababaaBBAbbAAbb"}, {"aaaaababbABBBABABBAb", "aaaabbAbABaBaBBBaBAb", "aabaBAbAbAbAbAABBabb"}, {"aaaaababbABBBABABBAB", "aaaaabbAbABaBaBBBaBB", "aababAbAbAbAbAABBabb"}, {"aaaaababbABBBABBabab", "aaaabbAbABaBaBBaBabb", "aaababababaaBBAbbAbb"}, {"aaaaababbABBBABBAbab", "aaaabbAbABaBaBBaBAbb", "aababababaaBBAbbAbAB"}, {"aaaaababbABBBABBABab", "aaaabbAbABaBaBBaBBab", "aababababaaBBAbbAbAb"}, {"aaaaababbABBBABBABAb", "aaaabbAbABaBaBBaBBAb", "aababbABaBaBaBaBBAAb"}, {"aaaaababbABBBABBABAB", "aaaaabbAbABaBaBBaBBB", "aababbaBaBaBaBaBBAAb"}, {"aaaaababbABBBBababab", "aaaababababaaBBAbbbb", "aaaabbAbABaBaBaBabbb"}, {"aaaaababbABBBBAbabab", "aaaabbAbABaBaBaBAbbb", "aaababababaaBBAbbbAB"}, {"aaaaababbABBBBABabab", "aaaabbAbABaBaBaBBabb", "aaababababaaBBAbbbAb"}, {"aaaaababbABBBBABAbab", "aaaabbAbABaBaBaBBAbb", "aaabbABBaBaBaBaBBAAb"}, {"aaaaababbABBBBABABab", "aaaabbAbABaBaBaBBBab", "aaabbaBBaBaBaBaBBAAb"}, {"aaaaababbABBBBABABAb", "aaaabbAbABaBaBaBBBAb", "aaabbbABaBaBaBaBBAAb"}, {"aaaaababbABBBBABABAB", "aaaaabbAbABaBaBaBBBB", "aaabbbaBaBaBaBaBBAAb"}, {"aaaaababAbabababbbbb", "aaaababababaBBBBaabb", "aaaabAbAbAbAbbaBabbb"}, {"aaaaababAbababbabbbb", "aaaabbAAbbbAbbAbAbAb", "aaabAbAbAbAbbaBabbab"}, {"aaaaababAbababbbabbb", "aaaabbAAbbbAbAbbAbAb", "aabaabAbAbAbAbbaBabb"}, {"aaaaababAbababbbbabb", "aaaabbAAbbbAbAbAbbAb", "aaababAbAbAbAbbaBabb"}, {"aaaaababAbabbababbbb", "aaaabbAAbbAbbbAbAbAb", "aaabAbAbAbAbbaBababb"}, {"aaaaababAbabbabbabbb", "aaaabbAAbbAbbAbbAbAb", "aabAbabababbaBaBaBaB"}, {"aaaaababAbabbabbbabb", "aaaabbAAbbAbbAbAbbAb", "aababAbAbAbAbbaBabab"}, {"aaaaababAbabbabbbbab", "aaaabbAAbbAbbAbAbAbb", "aaabbAbAbAbAbbaBabab"}, {"aaaaababAbabbbababbb", "aaaabbAAbbAbAbbbAbAb", "aabbaabAbAbAbAbbaBab"}, {"aaaaababAbabbbabbabb", "aaaabbAAbbAbAbbAbbAb", "aabababAbAbAbAbbaBab"}, {"aaaaababAbabbbabbbab", "aaaabbAAbbAbAbbAbAbb", "aabaabbAbAbAbAbbaBab"}, {"aaaaababAbabbbbababb", "aaaabbAAbbAbAbAbbbAb", "aaabbabAbAbAbAbbaBab"}, {"aaaaababAbabbbbabbab", "aaaabbAAbbAbAbAbbAbb", "aaababbAbAbAbAbbaBab"}, {"aaaaababAbbabababbbb", "aaaabababaBBBBaabbab", "aaabbbaBaBaBaBaabAbb"}, {"aaaaababAbbababbabbb", "aaaabbAAbAbbbAbbAbAb", "aababbaBaBaBaBaabAbb"}, {"aaaaababAbbababbbabb", "aaaabbAAbAbbbAbAbbAb", "aababAbAbAbAbbaBaabb"}, {"aaaaababAbbababbbbab", "aaaabbAAbAbbbAbAbAbb", "aaabbAbAbAbAbbaBaabb"}, {"aaaaababAbbabbababbb", "aaaabbAAbAbbAbbbAbAb", "aababbaabAbAbAbAbbaB"}, {"aaaaababAbbabbabbabb", "aaaabbAAbAbbAbbAbbAb", "aababababAbAbAbAbbaB"}, {"aaaaababAbbabbabbbab", "aaaabbAAbAbbAbbAbAbb", "aababaabbAbAbAbAbbaB"}, {"aaaaababAbbabbbababb", "aaaabbAAbAbbAbAbbbAb", "aabaabbabAbAbAbAbbaB"}, {"aaaaababAbbabbbabbab", "aaaabbAAbAbbAbAbbAbb", "aabaababbAbAbAbAbbaB"}, {"aaaaababAbbabbbbabab", "aaaabbAAbAbbAbAbAbbb", "aaababababaaBABBaBBB"}, {"aaaaababAbbbabababbb", "aaaababaBBBBaabbabab", "aaabbaBaBaBaBaabAbbb"}, {"aaaaababAbbbababbabb", "aaaabbAAbAbAbbbAbbAb", "aaabbababAbAbAbAbbaB"}, {"aaaaababAbbbababbbab", "aaaabbAAbAbAbbbAbAbb", "aaabbaabbAbAbAbAbbaB"}, {"aaaaababAbbbabbababb", "aaaabbAAbAbAbbAbbbAb", "aaababbabAbAbAbAbbaB"}, {"aaaaababAbbbabbabbab", "aaaabbAAbAbAbbAbbAbb", "aaabababbAbAbAbAbbaB"}, {"aaaaababAbbbabbbabab", "aaaabbAAbAbAbbAbAbbb", "aaabaabbbAbAbAbAbbaB"}, {"aaaaababAbbbbabababb", "aaaabaBBBBaabbababab", "aaaabbbabAbAbAbAbbaB"}, {"aaaaababAbbbbababbab", "aaaabbabbAbAbAbAbbaB", "aaaabbAAbAbAbAbbbAbb"}, {"aaaaababAbbbbabbabab", "aaaababbbAbAbAbAbbaB", "aaaabbAAbAbAbAbbAbbb"}, {"aaaaababABabababbbbb", "aaaabbABabbbAbAbAbAb", "aaaabAbAbAbAbbaBAbbb"}, {"aaaaababABababbabbbb", "aaaabbABabbAbbAbAbAb", "aaabAbAbAbAbbaBAbbab"}, {"aaaaababABababbbabbb", "aaaabbABabbAbAbbAbAb", "aabaabAbAbAbAbbaBAbb"}, {"aaaaababABababbbbabb", "aaaabbABabbAbAbAbbAb", "aaababAbAbAbAbbaBAbb"}, {"aaaaababABabbababbbb", "aaaabbABabAbbbAbAbAb", "aaabAbAbAbAbbaBAbabb"}, {"aaaaababABabbabbabbb", "aaaabbABabAbbAbbAbAb", "aabAbAbAbAbbaBAbabab"}, {"aaaaababABabbabbbabb", "aaaabbABabAbbAbAbbAb", "aababAbAbAbAbbaBAbab"}, {"aaaaababABabbabbbbab", "aaaabbABabAbbAbAbAbb", "aaabbAbAbAbAbbaBAbab"}, {"aaaaababABabbbababbb", "aaaabbABabAbAbbbAbAb", "aabbaabAbAbAbAbbaBAb"}, {"aaaaababABabbbabbabb", "aaaabbABabAbAbbAbbAb", "aabababAbAbAbAbbaBAb"}, {"aaaaababABabbbabbbab", "aaaabbABabAbAbbAbAbb", "aabaabbAbAbAbAbbaBAb"}, {"aaaaababABabbbbababb", "aaaabbABabAbAbAbbbAb", "aaabbabAbAbAbAbbaBAb"}, {"aaaaababABabbbbabbab", "aaaabbABabAbAbAbbAbb", "aaababbAbAbAbAbbaBAb"}, {"aaaaababABAbababbbbb", "aaaabbABAbbbAbAbAbAb", "aaaabAbAbAbAbbaBBabb"}, {"aaaaababABAbabbabbbb", "aaaabbABAbbAbbAbAbAb", "aaabAbAbAbAbbaBBabab"}, {"aaaaababABAbabbbabbb", "aaaabbABAbbAbAbbAbAb", "aabaabAbAbAbAbbaBBab"}, {"aaaaababABAbabbbbabb", "aaaabbABAbbAbAbAbbAb", "aaababAbAbAbAbbaBBab"}, {"aaaaababABAbbababbbb", "aaaabbABAbAbbbAbAbAb", "aaabAbAbAbAbbaBBaabb"}, {"aaaaababABAbbabbabbb", "aaaabbABAbAbbAbbAbAb", "aababaabAbAbAbAbbaBB"}, {"aaaaababABAbbabbbabb", "aaaabbABAbAbbAbAbbAb", "aabaababAbAbAbAbbaBB"}, {"aaaaababABAbbabbbbab", "aaaabbABAbAbbAbAbAbb", "aaabbAbAbAbAbbaBBaab"}, {"aaaaababABAbbbababbb", "aaaabbABAbAbAbbbAbAb", "aaabbaabAbAbAbAbbaBB"}, {"aaaaababABAbbbabbabb", "aaaabbABAbAbAbbAbbAb", "aaabababAbAbAbAbbaBB"}, {"aaaaababABAbbbabbbab", "aaaabbABAbAbAbbAbAbb", "aaabaabbAbAbAbAbbaBB"}, {"aaaaababABAbbbbababb", "aaaabbabAbAbAbAbbaBB", "aaaabbABAbAbAbAbbbAb"}, {"aaaaababABAbbbbabbab", "aaaababbAbAbAbAbbaBB", "aaaabbABAbAbAbAbbAbb"}, {"aaaaababABABababbbbb", "aaaabbABBabbAbAbAbAb", "aaaabAbAbAbAbbaBBAbb"}, {"aaaaababABABabbabbbb", "aaaabbABBabAbbAbAbAb", "aaabAbAbAbAbbaBBAbab"}, {"aaaaababABABabbbabbb", "aaaabbABBabAbAbbAbAb", "aabaabAbAbAbAbbaBBAb"}, {"aaaaababABABabbbbabb", "aaaabbABBabAbAbAbbAb", "aaababAbAbAbAbbaBBAb"}, {"aaaaababABABAbabbbbb", "aaaabbABBAbbAbAbAbAb", "aaaabAbAbAbAbbaBBBab"}, {"aaaaababABABAbbabbbb", "aaaabbABBAbAbbAbAbAb", "aaabbAbbbABABABABAAb"}, {"aaaaababABABAbbbabbb", "aaaabbABBAbAbAbbAbAb", "aaabaabAbAbAbAbbaBBB"}, {"aaaaababABABAbbbbabb", "aaaababAbAbAbAbbaBBB", "aaaabbABBAbAbAbAbbAb"}, {"aaaaababABABABabbbbb", "aaaabbABBBabAbAbAbAb", "aaaabAbAbAbAbbaBBBAb"}, {"aaaaababABABABAbbbbb", "aaaaabAbAbAbAbbaBBBB", "aaaabbABBBAbAbAbAbAb"}, {"aaaaababABABABBabbbb", "aaaabbABBBaBabAbAbAb", "aaabbABBBAbAbAbAbAAB"}, {"aaaaababABABABBAbbbb", "aaaabbABBBaBAbAbAbAb", "aaaabAbAbAbAbbaBBBAB"}, {"aaaaababABABABBABBBB", "aaaaabbABBBaBBaBaBaB", "aaaabababababbABBBaB"}, {"aaaaababABABABBBabbb", "aaaabbABBBaBaBabAbAb", "aaabbbABBAbAbAbAbAAB"}, {"aaaaababABABABBBAbbb", "aaaabbABBBaBaBAbAbAb", "aaabbaBBBAbAbAbAbAAB"}, {"aaaaababABABABBBABBB", "aaaaabbABBBaBaBBaBaB", "aaabababababbABBBaaB"}, {"aaaaababABABABBBBabb", "aaaabbABBBaBaBaBabAb", "aaaabAbababababbABBB"}, {"aaaaababABABABBBBAbb", "aaaabbABBBaBaBaBAbAb", "aaabbbaBBAbAbAbAbAAB"}, {"aaaaababABABABBBBABB", "aaaaabbABBBaBaBaBBaB", "aaabaaBaBaBaBaBBAbbb"}, {"aaaaababABABABBBBBab", "aaaaabbababababbABBB", "aaaabbABBBaBaBaBaBab"}, {"aaaaababABABABBBBBAb", "aaaabbABBBaBaBaBaBAb", "aaaabABaBaBaBaBBAbbb"}, {"aaaaababABABABBBBBAB", "aaaaabbABBBaBaBaBaBB", "aaaabaBaBaBaBaBBAbbb"}, {"aaaaababABABBababbbb", "aaaabbABBaBabbAbAbAb", "aaabAbAbAbAbbaBBAAbb"}, {"aaaaababABABBabbabbb", "aaaabbABBaBabAbbAbAb", "aabbABABBAbAbAbAbAAB"}, {"aaaaababABABBabbbabb", "aaaabbABBaBabAbAbbAb", "aababAbAbAbAbbaBBAAb"}, {"aaaaababABABBabbbbab", "aaaabbABBaBabAbAbAbb", "aaabbAbAbAbAbbaBBAAb"}, {"aaaaababABABBAbabbbb", "aaaabbABBaBAbbAbAbAb", "aaabAbAbAbAbbaBBABab"}, {"aaaaababABABBAbbabbb", "aaaabbABBaBAbAbbAbAb", "aabaabAbAbAbAbbaBBAB"}, {"aaaaababABABBAbbbabb", "aaaabbABBaBAbAbAbbAb", "aaababAbAbAbAbbaBBAB"}, {"aaaaababABABBAbbbbab", "aaaabbAbAbAbAbbaBBAB", "aaaabbABBaBAbAbAbAbb"}, {"aaaaababABABBABabbbb", "aaaabbABBaBBabAbAbAb", "aaabAbAbAbAbbaBBABAb"}, {"aaaaababABABBABAbbbb", "aaaabbABBaBBAbAbAbAb", "aaaabAbAbAbAbbaBBABB"}, {"aaaaababABABBABABBBB", "aaaaabbABBaBBBaBaBaB", "aaaabababababbABBaBB"}, {"aaaaababABABBABBabbb", "aaaabbABBaBBaBabAbAb", "aababbABBAbAbAbAbAAB"}, {"aaaaababABABBABBAbbb", "aaaabbABBaBBaBAbAbAb", "aaabAbAbAbAbbaBBABAB"}, {"aaaaababABABBABBABBB", "aaaaabbABBaBBaBBaBaB", "aaabababababbABBaBaB"}, {"aaaaababABABBABBBabb", "aaaabbABBaBBaBaBabAb", "aaabAbababababbABBaB"}, {"aaaaababABABBABBBAbb", "aaaabbABBaBBaBaBAbAb", "aababbaBBAbAbAbAbAAB"}, {"aaaaababABABBABBBABB", "aaaaabbABBaBBaBaBBaB", "aabaaBaBaBaBaBBAbbab"}, {"aaaaababABABBABBBBab", "aaaabbababababbABBaB", "aaaabbABBaBBaBaBaBab"}, {"aaaaababABABBABBBBAb", "aaaabbABBaBBaBaBaBAb", "aaabABaBaBaBaBBAbbab"}, {"aaaaababABABBABBBBAB", "aaaaabbABBaBBaBaBaBB", "aaabaBaBaBaBaBBAbbab"}, {"aaaaababABABBBababbb", "aaaabbABBaBaBabbAbAb", "aaabbAAbababababbABB"}, {"aaaaababABABBBabbabb", "aaaabbABBaBaBabAbbAb", "aaabAbAbababababbABB"}, {"aaaaababABABBBabbbab", "aaaabbABBaBaBabAbAbb", "aaabAAbbababababbABB"}, {"aaaaababABABBBAbabbb", "aaaabbABBaBaBAbbAbAb", "aabbaBABBAbAbAbAbAAB"}, {"aaaaababABABBBAbbabb", "aaaabbABBaBaBAbAbbAb", "aababAbAbAbAbbaBBAAB"}, {"aaaaababABABBBAbbbab", "aaaabbABBaBaBAbAbAbb", "aaabbAbAbAbAbbaBBAAB"}, {"aaaaababABABBBABabbb", "aaaabbABBaBaBBabAbAb", "aabaBAABaBaBaBaBBAbb"}, {"aaaaababABABBBABAbbb", "aaaabbABBaBaBBAbAbAb", "aaabAbAbAbAbbaBBAABB"}, {"aaaaababABABBBABABBB", "aaaaabbABBaBaBBBaBaB", "aaabababababbABBaaBB"}, {"aaaaababABABBBABBabb", "aaaabbABBaBaBBaBabAb", "aabaaBABaBaBaBaBBAbb"}, {"aaaaababABABBBABBAbb", "aaaabbABBaBaBBaBAbAb", "aababAABaBaBaBaBBAbb"}, {"aaaaababABABBBABBABB", "aaaaabbABBaBaBBaBBaB", "aababaaBaBaBaBaBBAbb"}, {"aaaaababABABBBABBBab", "aaaabbABBaBaBBaBaBab", "aaabbababababbABBaaB"}, {"aaaaababABABBBABBBAb", "aaaabbABBaBaBBaBaBAb", "aabaabABaBaBaBaBBAbb"}, {"aaaaababABABBBABBBAB", "aaaaabbABBaBaBBaBaBB", "aabaabaBaBaBaBaBBAbb"}, {"aaaaababABABBBBababb", "aaaabbAbababababbABB", "aaaabbABBaBaBaBabbAb"}, {"aaaaababABABBBBabbab", "aaaabbABBaBaBaBabAbb", "aaaabAbbababababbABB"}, {"aaaaababABABBBBAbabb", "aaaabbABBaBaBaBAbbAb", "aaabABABaBaBaBaBBAbb"}, {"aaaaababABABBBBAbbab", "aaaabbABBaBaBaBAbAbb", "aaabAABBaBaBaBaBBAbb"}, {"aaaaababABABBBBABabb", "aaaabbABBaBaBaBBabAb", "aaabaBABaBaBaBaBBAbb"}, {"aaaaababABABBBBABAbb", "aaaabbABBaBaBaBBAbAb", "aaabbAABaBaBaBaBBAbb"}, {"aaaaababABABBBBABABB", "aaaaabbABBaBaBaBBBaB", "aaabbaaBaBaBaBaBBAbb"}, {"aaaaababABABBBBABBab", "aaaabbABBaBaBaBBaBab", "aaabaaBBaBaBaBaBBAbb"}, {"aaaaababABABBBBABBAb", "aaaabbABBaBaBaBBaBAb", "aaababABaBaBaBaBBAbb"}, {"aaaaababABABBBBABBAB", "aaaaabbABBaBaBaBBaBB", "aaababaBaBaBaBaBBAbb"}, {"aaaaababABABBBBBabab", "aaaaabbbababababbABB", "aaaabbABBaBaBaBaBabb"}, {"aaaaababABABBBBBAbab", "aaaabbABBaBaBaBaBAbb", "aaaabABBaBaBaBaBBAbb"}, {"aaaaababABABBBBBABab", "aaaabaBBaBaBaBaBBAbb", "aaaabbABBaBaBaBaBBab"}, {"aaaaababABABBBBBABAb", "aaaabbABaBaBaBaBBAbb", "aaaabbABBaBaBaBaBBAb"}, {"aaaaababABBabababbbb", "aaaabbABaBabbbAbAbAb", "aaabbbaBaBaBaBaabABB"}, {"aaaaababABBababbabbb", "aaaabbABaBabbAbbAbAb", "aababbaBaBaBaBaabABB"}, {"aaaaababABBababbbabb", "aaaabbABaBabbAbAbbAb", "aababAbAbAbAbbaBAAbb"}, {"aaaaababABBababbbbab", "aaaabbABaBabbAbAbAbb", "aaabbAbAbAbAbbaBAAbb"}, {"aaaaababABBabbababbb", "aaaabbABaBabAbbbAbAb", "aabbaBaBaBaBaabABBab"}, {"aaaaababABBabbabbabb", "aaaabbABaBabAbbAbbAb", "aabAbAbAbababababbAB"}, {"aaaaababABBabbabbbab", "aaaabbABaBabAbbAbAbb", "aababababaaBAbbaBaBB"}, {"aaaaababABBabbbababb", "aaaabbABaBabAbAbbbAb", "aabaBaBaBaBaabABBabb"}, {"aaaaababABBabbbabbab", "aaaabbABaBabAbAbbAbb", "aababababaaBAbbaBBaB"}, {"aaaaababABBabbbbabab", "aaaabbABaBabAbAbAbbb", "aaababababaaBAbbaBBB"}, {"aaaaababABBAbababbbb", "aaaabbABaBAbbbAbAbAb", "aaabAbAbAbAbbaBABabb"}, {"aaaaababABBAbabbabbb", "aaaabbABaBAbbAbbAbAb", "aabAbAbAbAbbaBABabab"}, {"aaaaababABBAbabbbabb", "aaaabbABaBAbbAbAbbAb", "aababAbAbAbAbbaBABab"}, {"aaaaababABBAbabbbbab", "aaaabbABaBAbbAbAbAbb", "aaabbAbAbAbAbbaBABab"}, {"aaaaababABBAbbababbb", "aaaabbABaBAbAbbbAbAb", "aabbaabAbAbAbAbbaBAB"}, {"aaaaababABBAbbabbabb", "aaaabbABaBAbAbbAbbAb", "aabababAbAbAbAbbaBAB"}, {"aaaaababABBAbbabbbab", "aaaabbABaBAbAbbAbAbb", "aabaabbAbAbAbAbbaBAB"}, {"aaaaababABBAbbbababb", "aaaabbABaBAbAbAbbbAb", "aaabbabAbAbAbAbbaBAB"}, {"aaaaababABBAbbbabbab", "aaaabbABaBAbAbAbbAbb", "aaababbAbAbAbAbbaBAB"}, {"aaaaababABBAbbbbabab", "aaaabbbAbAbAbAbbaBAB", "aaaabbABaBAbAbAbAbbb"}, {"aaaaababABBABababbbb", "aaaabbABaBBabbAbAbAb", "aaabAbAbAbAbbaBABAbb"}, {"aaaaababABBABabbabbb", "aaaabbABaBBabAbbAbAb", "aabAbAbAbAbbaBABAbab"}, {"aaaaababABBABabbbabb", "aaaabbABaBBabAbAbbAb", "aababAbAbAbAbbaBABAb"}, {"aaaaababABBABabbbbab", "aaaabbABaBBabAbAbAbb", "aaabbAbAbAbAbbaBABAb"}, {"aaaaababABBABAbabbbb", "aaaabbABaBBAbbAbAbAb", "aaabAbAbAbAbbaBABBab"}, {"aaaaababABBABAbbabbb", "aaaabbABaBBAbAbbAbAb", "aabaabAbAbAbAbbaBABB"}, {"aaaaababABBABAbbbabb", "aaaabbABaBBAbAbAbbAb", "aaababAbAbAbAbbaBABB"}, {"aaaaababABBABAbbbbab", "aaaabbAbAbAbAbbaBABB", "aaaabbABaBBAbAbAbAbb"}, {"aaaaababABBABABabbbb", "aaaabbABaBBBabAbAbAb", "aaabAbAbAbAbbaBABBAb"}, {"aaaaababABBABABAbbbb", "aaaabbABaBBBAbAbAbAb", "aaaabAbAbAbAbbaBABBB"}, {"aaaaababABBABABABBBB", "aaaaabbABaBBBBaBaBaB", "aaaabababababbABaBBB"}, {"aaaaababABBABABBabbb", "aaaabbABaBBBaBabAbAb", "aabbABBAbAbAbAbAABab"}, {"aaaaababABBABABBAbbb", "aaaabbABaBBBaBAbAbAb", "aaabAbAbAbAbbaBABBAB"}, {"aaaaababABBABABBABBB", "aaaaabbABaBBBaBBaBaB", "aaabababababbABaBBaB"}, {"aaaaababABBABABBBabb", "aaaabbABaBBBaBaBabAb", "aaabAbababababbABaBB"}, {"aaaaababABBABABBBAbb", "aaaabbABaBBBaBaBAbAb", "aabbaBBAbAbAbAbAABab"}, {"aaaaababABBABABBBABB", "aaaaabbABaBBBaBaBBaB", "aabaaBaBaBaBaBBAbabb"}, {"aaaaababABBABABBBBab", "aaaabbababababbABaBB", "aaaabbABaBBBaBaBaBab"}, {"aaaaababABBABABBBBAb", "aaaabbABaBBBaBaBaBAb", "aaabABaBaBaBaBBAbabb"}, {"aaaaababABBABABBBBAB", "aaaaabbABaBBBaBaBaBB", "aaabaBaBaBaBaBBAbabb"}, {"aaaaababABBABBababbb", "aaaabbABaBBaBabbAbAb", "aabbaBaBaBaBaabABABB"}, {"aaaaababABBABBabbabb", "aaaabbABaBBaBabAbbAb", "aabAbAbababababbABaB"}, {"aaaaababABBABBabbbab", "aaaabbABaBBaBabAbAbb", "aababababaaBAbAbbaBB"}, {"aaaaababABBABBAbabbb", "aaaabbABaBBaBAbbAbAb", "aabAbAbAbAbbaBABABab"}, {"aaaaababABBABBAbbabb", "aaaabbABaBBaBAbAbbAb", "aababAbAbAbAbbaBABAB"}, {"aaaaababABBABBAbbbab", "aaaabbABaBBaBAbAbAbb", "aaabbAbAbAbAbbaBABAB"}, {"aaaaababABBABBABabbb", "aaaabbABaBBaBBabAbAb", "aabAbAbAbAbbaBABABAb"}, {"aaaaababABBABBABAbbb", "aaaabbABaBBaBBAbAbAb", "aaabAbAbAbAbbaBABABB"}, {"aaaaababABBABBABABBB", "aaaaabbABaBBaBBBaBaB", "aaabababababbABaBaBB"}, {"aaaaababABBABBABBabb", "aaaabbABaBBaBBaBabAb", "aabAbababababbABaBaB"}, {"aaaaababABBABBABBAbb", "aaaabbABaBBaBBaBAbAb", "aabAbAbAbAbbaBABABAB"}, {"aaaaababABBABBABBABB", "aaaaabbABaBBaBBaBBaB", "aabababababbABaBaBaB"}, {"aaaaababABBABBABBBab", "aaaabbABaBBaBBaBaBab", "aaabbababababbABaBaB"}, {"aaaaababABBABBABBBAb", "aaaabbABaBBaBBaBaBAb", "aabABaBaBaBaBBAbabab"}, {"aaaaababABBABBABBBAB", "aaaaabbABaBBaBBaBaBB", "aabaBaBaBaBaBBAbabab"}, {"aaaaababABBABBBababb", "aaaabbABaBBaBaBabbAb", "aaabbAbababababbABaB"}, {"aaaaababABBABBBabbab", "aaaabbABaBBaBaBabAbb", "aaabAbbababababbABaB"}, {"aaaaababABBABBBAbabb", "aaaabbABaBBaBaBAbbAb", "aabABABaBaBaBaBBAbab"}, {"aaaaababABBABBBAbbab", "aaaabbABaBBaBaBAbAbb", "aababababaaBAbAbbABB"}, {"aaaaababABBABBBABabb", "aaaabbABaBBaBaBBabAb", "aabaBABaBaBaBaBBAbab"}, {"aaaaababABBABBBABAbb", "aaaabbABaBBaBaBBAbAb", "aabbAABaBaBaBaBBAbab"}, {"aaaaababABBABBBABABB", "aaaaabbABaBBaBaBBBaB", "aabababababbABaBaaBB"}, {"aaaaababABBABBBABBab", "aaaabbABaBBaBaBBaBab", "aabaaBBaBaBaBaBBAbab"}, {"aaaaababABBABBBABBAb", "aaaabbABaBBaBaBBaBAb", "aababABaBaBaBaBBAbab"}, {"aaaaababABBABBBABBAB", "aaaaabbABaBBaBaBBaBB", "aababaBaBaBaBaBBAbab"}, {"aaaaababABBABBBBabab", "aaaabbbababababbABaB", "aaaabbABaBBaBaBaBabb"}, {"aaaaababABBABBBBAbab", "aaaabbABaBBaBaBaBAbb", "aaabABBaBaBaBaBBAbab"}, {"aaaaababABBABBBBABab", "aaaabbABaBBaBaBaBBab", "aaabaBBaBaBaBaBBAbab"}, {"aaaaababABBABBBBABAb", "aaaabbABaBBaBaBaBBAb", "aaabbABaBaBaBaBBAbab"}, {"aaaaababABBABBBBABAB", "aaaaabbABaBBaBaBaBBB", "aaabbaBaBaBaBaBBAbab"}, {"aaaaababABBBabababbb", "aaaabbABaBaBabbbAbAb", "aaabbaBaBaBaBaabABBB"}, {"aaaaababABBBababbabb", "aaaabbABaBaBabbAbbAb", "aaabbAbAbababababbAB"}, {"aaaaababABBBababbbab", "aaaabbABaBaBabbAbAbb", "aaabbAAbbababababbAB"}, {"aaaaababABBBabbababb", "aaaabbABaBaBabAbbbAb", "aaabAbbAbababababbAB"}, {"aaaaababABBBabbabbab", "aaaabbABaBaBabAbbAbb", "aaabAbAbbababababbAB"}, {"aaaaababABBBabbbabab", "aaaabbABaBaBabAbAbbb", "aaababababaaBAbbbaBB"}, {"aaaaababABBBAbababbb", "aaaabbABaBaBAbbbAbAb", "aabbaBaBaBaBaabABBAb"}, {"aaaaababABBBAbabbabb", "aaaabbABaBaBAbbAbbAb", "aabABABABaBaBaBaBBAb"}, {"aaaaababABBBAbabbbab", "aaaabbABaBaBAbbAbAbb", "aababababaaBAbbABaBB"}, {"aaaaababABBBAbbababb", "aaaabbABaBaBAbAbbbAb", "aabaBaBaBaBaabABBAbb"}, {"aaaaababABBBAbbabbab", "aaaabbABaBaBAbAbbAbb", "aababababaaBAbbABBaB"}, {"aaaaababABBBAbbbabab", "aaaabbABaBaBAbAbAbbb", "aaababababaaBAbbABBB"}, {"aaaaababABBBABababbb", "aaaabbABaBaBBabbAbAb", "aabaBBAABaBaBaBaBBAb"}, {"aaaaababABBBABabbabb", "aaaabbABaBaBBabAbbAb", "aabaBABABaBaBaBaBBAb"}, {"aaaaababABBBABabbbab", "aaaabbABaBaBBabAbAbb", "aababababaaBAbbAbaBB"}, {"aaaaababABBBABAbabbb", "aaaabbABaBaBBAbbAbAb", "aabbABAABaBaBaBaBBAb"}, {"aaaaababABBBABAbbabb", "aaaabbABaBaBBAbAbbAb", "aababAbAbAbAbbaBAABB"}, {"aaaaababABBBABAbbbab", "aaaabbABaBaBBAbAbAbb", "aaabbAbAbAbAbbaBAABB"}, {"aaaaababABBBABABabbb", "aaaabbABaBaBBBabAbAb", "aabbaBAABaBaBaBaBBAb"}, {"aaaaababABBBABABAbbb", "aaaabbABaBaBBBAbAbAb", "aaabbbABABABABAAbaBB"}, {"aaaaababABBBABABABBB", "aaaaabbABaBaBBBBaBaB", "aaabababababbABaaBBB"}, {"aaaaababABBBABABBabb", "aaaabbABaBaBBBaBabAb", "aabbaaBABaBaBaBaBBAb"}, {"aaaaababABBBABABBAbb", "aaaabbABaBaBBBaBAbAb", "aabaBBAbAbAbAbAABabb"}, {"aaaaababABBBABABBABB", "aaaaabbABaBaBBBaBBaB", "aabababababbABaaBBaB"}, {"aaaaababABBBABABBBab", "aaaabbABaBaBBBaBaBab", "aaabbababababbABaaBB"}, {"aaaaababABBBABABBBAb", "aaaabbABaBaBBBaBaBAb", "aabbaabABaBaBaBaBBAb"}, {"aaaaababABBBABABBBAB", "aaaaabbABaBaBBBaBaBB", "aabaBaBaBaBaBBAbaabb"}, {"aaaaababABBBABBababb", "aaaabbABaBaBBaBabbAb", "aabaaBBABaBaBaBaBBAb"}, {"aaaaababABBBABBabbab", "aaaabbABaBaBBaBabAbb", "aabaaBABBaBaBaBaBBAb"}, {"aaaaababABBBABBAbabb", "aaaabbABaBaBBaBAbbAb", "aababABABaBaBaBaBBAb"}, {"aaaaababABBBABBAbbab", "aaaabbABaBaBBaBAbAbb", "aababababaaBAbbAbABB"}, {"aaaaababABBBABBABabb", "aaaabbABaBaBBaBBabAb", "aababaBABaBaBaBaBBAb"}, {"aaaaababABBBABBABAbb", "aaaabbABaBaBBaBBAbAb", "aababbAABaBaBaBaBBAb"}, {"aaaaababABBBABBABABB", "aaaaabbABaBaBBaBBBaB", "aabababababbABaaBaBB"}, {"aaaaababABBBABBABBab", "aaaabbABaBaBBaBBaBab", "aababaaBBaBaBaBaBBAb"}, {"aaaaababABBBABBABBAb", "aaaabbABaBaBBaBBaBAb", "aabababABaBaBaBaBBAb"}, {"aaaaababABBBABBABBAB", "aaaaabbABaBaBBaBBaBB", "aabababaBaBaBaBaBBAb"}, {"aaaaababABBBABBBabab", "aaaabbABaBaBBaBaBabb", "aaababababaaBAbbAbbb"}, {"aaaaababABBBABBBAbab", "aaaabbABaBaBBaBaBAbb", "aabaabABBaBaBaBaBBAb"}, {"aaaaababABBBABBBABab", "aaaabbABaBaBBaBaBBab", "aabaabaBBaBaBaBaBBAb"}, {"aaaaababABBBABBBABAb", "aaaabbABaBaBBaBaBBAb", "aabaabbABaBaBaBaBBAb"}, {"aaaaababABBBABBBABAB", "aaaaabbABaBaBBaBaBBB", "aabaabbaBaBaBaBaBBAb"}, {"aaaaababABBBBabababb", "aaaabbbAbababababbAB", "aaaabbABaBaBaBabbbAb"}, {"aaaaababABBBBababbab", "aaaabbAbbababababbAB", "aaaabbABaBaBaBabbAbb"}, {"aaaaababABBBBabbabab", "aaaabbABaBaBaBabAbbb", "aaaabAbbbababababbAB"}, {"aaaaababABBBBAbababb", "aaaabbABaBaBaBAbbbAb", "aaabABBABaBaBaBaBBAb"}, {"aaaaababABBBBAbabbab", "aaaabbABaBaBaBAbbAbb", "aaabABABBaBaBaBaBBAb"}, {"aaaaababABBBBAbbabab", "aaaabbABaBaBaBAbAbbb", "aaababababaaBAbbbABB"}, {"aaaaababABBBBABababb", "aaaabbABaBaBaBBabbAb", "aaabaBBABaBaBaBaBBAb"}, {"aaaaababABBBBABabbab", "aaaabbABaBaBaBBabAbb", "aaabaBABBaBaBaBaBBAb"}, {"aaaaababABBBBABAbabb", "aaaabbABaBaBaBBAbbAb", "aaabbABABaBaBaBaBBAb"}, {"aaaaababABBBBABAbbab", "aaaabbABaBaBaBBAbAbb", "aaabbAABBaBaBaBaBBAb"}, {"aaaaababABBBBABABabb", "aaaabbABaBaBaBBBabAb", "aaabbaBABaBaBaBaBBAb"}, {"aaaaababABBBBABABAbb", "aaaabbABaBaBaBBBAbAb", "aaabbbAABaBaBaBaBBAb"}, {"aaaaababABBBBABABABB", "aaaaabbABaBaBaBBBBaB", "aaabbbaaBaBaBaBaBBAb"}, {"aaaaababABBBBABABBab", "aaaabbABaBaBaBBBaBab", "aaabbaaBBaBaBaBaBBAb"}, {"aaaaababABBBBABABBAb", "aaaabbABaBaBaBBBaBAb", "aaabbabABaBaBaBaBBAb"}, {"aaaaababABBBBABABBAB", "aaaaabbABaBaBaBBBaBB", "aaabbabaBaBaBaBaBBAb"}, {"aaaaababABBBBABBabab", "aaaabbABaBaBaBBaBabb", "aaabaaBBBaBaBaBaBBAb"}, {"aaaaababABBBBABBAbab", "aaaabbABaBaBaBBaBAbb", "aaababABBaBaBaBaBBAb"}, {"aaaaababABBBBABBABab", "aaaabbABaBaBaBBaBBab", "aaababaBBaBaBaBaBBAb"}, {"aaaaababABBBBABBABAb", "aaaabbABaBaBaBBaBBAb", "aaababbABaBaBaBaBBAb"}, {"aaaaababABBBBABBABAB", "aaaaabbABaBaBaBBaBBB", "aaababbaBaBaBaBaBBAb"}, {"aaaaababABBBBBababab", "aaaaabbbbababababbAB", "aaaabbABaBaBaBaBabbb"}, {"aaaaababABBBBBAbabab", "aaaabbABaBaBaBaBAbbb", "aaaabABBBaBaBaBaBBAb"}, {"aaaaababABBBBBABabab", "aaaabaBBBaBaBaBaBBAb", "aaaabbABaBaBaBaBBabb"}, {"aaaaabaBababababbbbb", "aaaababababaBBBBaBAB", "aaaabbbbaBaBaBaBaaBB"}, {"aaaaabaBabababbabbbb", "aaaabaBabbbAbbAbAbAb", "aaababbbaBaBaBaBaaBB"}, {"aaaaabaBabababbbabbb", "aaaabaBabbbAbAbbAbAb", "aaabbabbaBaBaBaBaaBB"}, {"aaaaabaBabababbbbabb", "aaaabaBabbbAbAbAbbAb", "aaababAbAbAbAbbAAbbb"}, {"aaaaabaBababbababbbb", "aaaabaBabbAbbbAbAbAb", "aaabAbAbAbAbbAAbbabb"}, {"aaaaabaBababbabbabbb", "aaaabaBabbAbbAbbAbAb", "aabababbaBaBaBaBaaBB"}, {"aaaaabaBababbabbbabb", "aaaabaBabbAbbAbAbbAb", "aababbabaBaBaBaBaaBB"}, {"aaaaabaBababbabbbbab", "aaaabaBabbAbbAbAbAbb", "aaabbAbAbAbAbbAAbbab"}, {"aaaaabaBababbbababbb", "aaaabaBabbAbAbbbAbAb", "aabbaabbaBaBaBaBaaBB"}, {"aaaaabaBababbbabbabb", "aaaabaBabbAbAbbAbbAb", "aabababAbAbAbAbbAAbb"}, {"aaaaabaBababbbabbbab", "aaaabaBabbAbAbbAbAbb", "aabaabbAbAbAbAbbAAbb"}, {"aaaaabaBababbbbababb", "aaaabaBabbAbAbAbbbAb", "aaabbabAbAbAbAbbAAbb"}, {"aaaaabaBababbbbabbab", "aaaabaBabbAbAbAbbAbb", "aaababbAbAbAbAbbAAbb"}, {"aaaaabaBabbabababbbb", "aaaabababaBBBBaBABab", "aaabbbaBaBaBaBaaBBab"}, {"aaaaabaBabbababbabbb", "aaaabaBabAbbbAbbAbAb", "aababbaBaBaBaBaaBBab"}, {"aaaaabaBabbababbbabb", "aaaabaBabAbbbAbAbbAb", "aababAbAbAbAbbAAbabb"}, {"aaaaabaBabbababbbbab", "aaaabaBabAbbbAbAbAbb", "aaabbAbAbAbAbbAAbabb"}, {"aaaaabaBabbabbababbb", "aaaabaBabAbbAbbbAbAb", "aabbaBaBaaBBabababab"}, {"aaaaabaBabbabbabbabb", "aaaabaBabAbbAbbAbbAb", "aabbaBaBaBaBabababab"}, {"aaaaabaBabbabbabbbab", "aaaabaBabAbbAbbAbAbb", "aababababaabbaBaBaBB"}, {"aaaaabaBabbabbbababb", "aaaabaBabAbbAbAbbbAb", "aabaBaBaBaBaaBBababb"}, {"aaaaabaBabbabbbabbab", "aaaabaBabAbbAbAbbAbb", "aababababaabbaBaBBaB"}, {"aaaaabaBabbabbbbabab", "aaaabaBabAbbAbAbAbbb", "aaababababaabbaBaBBB"}, {"aaaaabaBabbbabababbb", "aaaababaBBBBaBABabab", "aaabbaBaBaBaBaaBBabb"}, {"aaaaabaBabbbababbabb", "aaaabaBabAbAbbbAbbAb", "aababaBaBaBaBaaBBabb"}, {"aaaaabaBabbbababbbab", "aaaabaBabAbAbbbAbAbb", "aababababaabbaBBaaBB"}, {"aaaaabaBabbbabbababb", "aaaabaBabAbAbbAbbbAb", "aababbabAbAbAbAbbAAb"}, {"aaaaabaBabbbabbabbab", "aaaabaBabAbAbbAbbAbb", "aababababaabbaBBaBaB"}, {"aaaaabaBabbbabbbabab", "aaaabaBabAbAbbAbAbbb", "aaababababaabbaBBaBB"}, {"aaaaabaBabbbbabababb", "aaaabaBabAbAbAbbbbAb", "aaabaBaBaBaBaaBBabbb"}, {"aaaaabaBabbbbababbab", "aaaabaBabAbAbAbbbAbb", "aaabbabbAbAbAbAbbAAb"}, {"aaaaabaBabbbbabbabab", "aaaabaBabAbAbAbbAbbb", "aaababababaabbaBBBaB"}, {"aaaaabaBaBaBaBBaBBBB", "aaaaabaBBBBABBABABAB", "aaaababbbaBaBaBaBaBB"}, {"aaaaabaBaBaBaBBBaBBB", "aaaaabaBBBBABABBABAB", "aaaabbabbaBaBaBaBaBB"}, {"aaaaabaBaBaBaBBBBaBB", "aaaaabaBBBBABABABBAB", "aaaabbbabaBaBaBaBaBB"}, {"aaaaabaBaBaBBaBaBBBB", "aaaaabaBBBABBBABABAB", "aaabaabbbaBaBaBaBaBB"}, {"aaaaabaBaBaBBaBBaBBB", "aaaaabaBBBABBABBABAB", "aaabababbaBaBaBaBaBB"}, {"aaaaabaBaBaBBaBBBaBB", "aaaaabaBBBABBABABBAB", "aaababbabaBaBaBaBaBB"}, {"aaaaabaBaBaBBaBBBBaB", "aaaaabaBBBABBABABABB", "aaababbbaaBaBaBaBaBB"}, {"aaaaabaBaBaBBBaBaBBB", "aaaaabaBBBABABBBABAB", "aaabbaabbaBaBaBaBaBB"}, {"aaaaabaBaBaBBBaBBaBB", "aaaaabaBBBABABBABBAB", "aaabbababaBaBaBaBaBB"}, {"aaaaabaBaBaBBBaBBBaB", "aaaaabaBBBABABBABABB", "aaabbabbaaBaBaBaBaBB"}, {"aaaaabaBaBaBBBBaBaBB", "aaaaabaBBBABABABBBAB", "aaabbabAbAbAbAbAAbbb"}, {"aaaaabaBaBaBBBBaBBaB", "aaaaabaBBBABABABBABB", "aaababbAbAbAbAbAAbbb"}, {"aaaaabaBaBBaBaBaBBBB", "aaaaabaBBABBBBABABAB", "aaabbbaBaBaBaBaBBaab"}, {"aaaaabaBaBBaBaBBaBBB", "aaaaabaBBABBBABBABAB", "aabaababbaBaBaBaBaBB"}, {"aaaaabaBaBBaBaBBBaBB", "aaaaabaBBABBBABABBAB", "aabaabbabaBaBaBaBaBB"}, {"aaaaabaBaBBaBaBBBBaB", "aaaaabaBBABBBABABABB", "aaabbAbAbAbAbAAbbabb"}, {"aaaaabaBaBBaBBaBaBBB", "aaaaabaBBABBABBBABAB", "aababaabbaBaBaBaBaBB"}, {"aaaaabaBaBBaBBaBBaBB", "aaaaabaBBABBABBABBAB", "aababababaBaBaBaBaBB"}, {"aaaaabaBaBBaBBaBBBaB", "aaaaabaBBABBABBABABB", "aabababababbaaBaBaBB"}, {"aaaaabaBaBBaBBBaBaBB", "aaaaabaBBABBABABBBAB", "aababbaabaBaBaBaBaBB"}, {"aaaaabaBaBBaBBBaBBaB", "aaaaabaBBABBABABBABB", "aabababababbaaBaBBaB"}, {"aaaaabaBaBBaBBBBaBaB", "aaaaabaBBABBABABABBB", "aaabababababbaaBaBBB"}, {"aaaaabaBaBBBaBaBaBBB", "aaaaabaBBABABBBBABAB", "aaabbaBaBaBaBaBBaabb"}, {"aaaaabaBaBBBaBaBBaBB", "aaaaabaBBABABBBABBAB", "aababaBaBaBaBaBBaabb"}, {"aaaaabaBaBBBaBaBBBaB", "aaaaabaBBABABBBABABB", "aabababababbaaBBaaBB"}, {"aaaaabaBaBBBaBBaBaBB", "aaaaabaBBABABBABBBAB", "aababbabAbAbAbAbAAbb"}, {"aaaaabaBaBBBaBBaBBaB", "aaaaabaBBABABBABBABB", "aabababababbaaBBaBaB"}, {"aaaaabaBaBBBaBBBaBaB", "aaaaabaBBABABBABABBB", "aaabababababbaaBBaBB"}, {"aaaaabaBaBBBBaBaBaBB", "aaaaabaBBABABABBBBAB", "aaabaBaBaBaBaBBaabbb"}, {"aaaaabaBaBBBBaBaBBaB", "aaaaabaBBABABABBBABB", "aaabbabbAbAbAbAbAAbb"}, {"aaaaabaBaBBBBaBBaBaB", "aaaaabaBBABABABBABBB", "aaabababababbaaBBBaB"}, {"aaaaabaBAbabababbbbb", "aaaababababaBBBBaBAb", "aaaabAbAbAbAbbABabbb"}, {"aaaaabaBAbababbabbbb", "aaaabaBAbbbAbbAbAbAb", "aaabAbAbAbAbbABabbab"}, {"aaaaabaBAbababbbabbb", "aaaabaBAbbbAbAbbAbAb", "aabaabAbAbAbAbbABabb"}, {"aaaaabaBAbababbbbabb", "aaaabaBAbbbAbAbAbbAb", "aaababAbAbAbAbbABabb"}, {"aaaaabaBAbabbababbbb", "aaaabaBAbbAbbbAbAbAb", "aaabAbAbAbAbbABababb"}, {"aaaaabaBAbabbabbabbb", "aaaabaBAbbAbbAbbAbAb", "aabAbAbAbAbbABababab"}, {"aaaaabaBAbabbabbbabb", "aaaabaBAbbAbbAbAbbAb", "aababAbAbAbAbbABabab"}, {"aaaaabaBAbabbabbbbab", "aaaabaBAbbAbbAbAbAbb", "aaabbAbAbAbAbbABabab"}, {"aaaaabaBAbabbbababbb", "aaaabaBAbbAbAbbbAbAb", "aabbaabAbAbAbAbbABab"}, {"aaaaabaBAbabbbabbabb", "aaaabaBAbbAbAbbAbbAb", "aabababAbAbAbAbbABab"}, {"aaaaabaBAbabbbabbbab", "aaaabaBAbbAbAbbAbAbb", "aabaabbAbAbAbAbbABab"}, {"aaaaabaBAbabbbbababb", "aaaabaBAbbAbAbAbbbAb", "aaabbabAbAbAbAbbABab"}, {"aaaaabaBAbabbbbabbab", "aaaabaBAbbAbAbAbbAbb", "aaababbAbAbAbAbbABab"}, {"aaaaabaBAbbabababbbb", "aaaabababaBBBBaBAbab", "aaabbbaBaBaBaBaaBAbb"}, {"aaaaabaBAbbababbabbb", "aaaabaBAbAbbbAbbAbAb", "aababbaBaBaBaBaaBAbb"}, {"aaaaabaBAbbababbbabb", "aaaabaBAbAbbbAbAbbAb", "aababAbAbAbAbbABaabb"}, {"aaaaabaBAbbababbbbab", "aaaabaBAbAbbbAbAbAbb", "aaabbAbAbAbAbbABaabb"}, {"aaaaabaBAbbabbababbb", "aaaabaBAbAbbAbbbAbAb", "aababbaabAbAbAbAbbAB"}, {"aaaaabaBAbbabbabbabb", "aaaabaBAbAbbAbbAbbAb", "aababababAbAbAbAbbAB"}, {"aaaaabaBAbbabbabbbab", "aaaabaBAbAbbAbbAbAbb", "aababaabbAbAbAbAbbAB"}, {"aaaaabaBAbbabbbababb", "aaaabaBAbAbbAbAbbbAb", "aabaabbabAbAbAbAbbAB"}, {"aaaaabaBAbbabbbabbab", "aaaabaBAbAbbAbAbbAbb", "aabaababbAbAbAbAbbAB"}, {"aaaaabaBAbbabbbbabab", "aaaabaBAbAbbAbAbAbbb", "aaababababaabABBaBBB"}, {"aaaaabaBAbbbabababbb", "aaaababaBBBBaBAbabab", "aaabbaBaBaBaBaaBAbbb"}, {"aaaaabaBAbbbababbabb", "aaaabaBAbAbAbbbAbbAb", "aaabbababAbAbAbAbbAB"}, {"aaaaabaBAbbbababbbab", "aaaabaBAbAbAbbbAbAbb", "aaabbaabbAbAbAbAbbAB"}, {"aaaaabaBAbbbabbababb", "aaaabaBAbAbAbbAbbbAb", "aaababbabAbAbAbAbbAB"}, {"aaaaabaBAbbbabbabbab", "aaaabaBAbAbAbbAbbAbb", "aaabababbAbAbAbAbbAB"}, {"aaaaabaBAbbbabbbabab", "aaaabaBAbAbAbbAbAbbb", "aaabaabbbAbAbAbAbbAB"}, {"aaaaabaBAbbbbabababb", "aaaabaBAbAbAbAbbbbAb", "aaaabbbabAbAbAbAbbAB"}, {"aaaaabaBAbbbbababbab", "aaaabaBAbAbAbAbbbAbb", "aaaabbabbAbAbAbAbbAB"}, {"aaaaabaBAbbbbabbabab", "aaaababbbAbAbAbAbbAB", "aaaabaBAbAbAbAbbAbbb"}, {"aaaaabaBABabababbbbb", "aaaabaBBabbbAbAbAbAb", "aaaabAbAbAbAbbABAbbb"}, {"aaaaabaBABababbabbbb", "aaaabaBBabbAbbAbAbAb", "aaabAbAbAbAbbABAbbab"}, {"aaaaabaBABababbbabbb", "aaaabaBBabbAbAbbAbAb", "aabaabAbAbAbAbbABAbb"}, {"aaaaabaBABababbbbabb", "aaaabaBBabbAbAbAbbAb", "aaababAbAbAbAbbABAbb"}, {"aaaaabaBABabbababbbb", "aaaabaBBabAbbbAbAbAb", "aaabAbAbAbAbbABAbabb"}, {"aaaaabaBABabbabbabbb", "aaaabaBBabAbbAbbAbAb", "aabAbaBaBaBBabababab"}, {"aaaaabaBABabbabbbabb", "aaaabaBBabAbbAbAbbAb", "aababAbAbAbAbbABAbab"}, {"aaaaabaBABabbabbbbab", "aaaabaBBabAbbAbAbAbb", "aaabbAbAbAbAbbABAbab"}, {"aaaaabaBABabbbababbb", "aaaabaBBabAbAbbbAbAb", "aabbaabAbAbAbAbbABAb"}, {"aaaaabaBABabbbabbabb", "aaaabaBBabAbAbbAbbAb", "aabababAbAbAbAbbABAb"}, {"aaaaabaBABabbbabbbab", "aaaabaBBabAbAbbAbAbb", "aabaabbAbAbAbAbbABAb"}, {"aaaaabaBABabbbbababb", "aaaabaBBabAbAbAbbbAb", "aaabbabAbAbAbAbbABAb"}, {"aaaaabaBABabbbbabbab", "aaaabaBBabAbAbAbbAbb", "aaababbAbAbAbAbbABAb"}, {"aaaaabaBABAbababbbbb", "aaaabaBBAbbbAbAbAbAb", "aaaabAbAbAbAbbABBabb"}, {"aaaaabaBABAbabbabbbb", "aaaabaBBAbbAbbAbAbAb", "aaabAbAbAbAbbABBabab"}, {"aaaaabaBABAbabbbabbb", "aaaabaBBAbbAbAbbAbAb", "aabaabAbAbAbAbbABBab"}, {"aaaaabaBABAbabbbbabb", "aaaabaBBAbbAbAbAbbAb", "aaababAbAbAbAbbABBab"}, {"aaaaabaBABAbbababbbb", "aaaabaBBAbAbbbAbAbAb", "aaabAbAbAbAbbABBaabb"}, {"aaaaabaBABAbbabbabbb", "aaaabaBBAbAbbAbbAbAb", "aababaabAbAbAbAbbABB"}, {"aaaaabaBABAbbabbbabb", "aaaabaBBAbAbbAbAbbAb", "aabaababAbAbAbAbbABB"}, {"aaaaabaBABAbbabbbbab", "aaaabaBBAbAbbAbAbAbb", "aaabbAbAbAbAbbABBaab"}, {"aaaaabaBABAbbbababbb", "aaaabaBBAbAbAbbbAbAb", "aaabbaabAbAbAbAbbABB"}, {"aaaaabaBABAbbbabbabb", "aaaabaBBAbAbAbbAbbAb", "aaabababAbAbAbAbbABB"}, {"aaaaabaBABAbbbabbbab", "aaaabaBBAbAbAbbAbAbb", "aaabaabbAbAbAbAbbABB"}, {"aaaaabaBABAbbbbababb", "aaaabaBBAbAbAbAbbbAb", "aaaabbabAbAbAbAbbABB"}, {"aaaaabaBABAbbbbabbab", "aaaababbAbAbAbAbbABB", "aaaabaBBAbAbAbAbbAbb"}, {"aaaaabaBABABababbbbb", "aaaabaBBBabbAbAbAbAb", "aaaabAbAbAbAbbABBAbb"}, {"aaaaabaBABABabbabbbb", "aaaabaBBBabAbbAbAbAb", "aaabAbAbAbAbbABBAbab"}, {"aaaaabaBABABabbbabbb", "aaaabaBBBabAbAbbAbAb", "aabaabAbAbAbAbbABBAb"}, {"aaaaabaBABABabbbbabb", "aaaabaBBBabAbAbAbbAb", "aaababAbAbAbAbbABBAb"}, {"aaaaabaBABABAbabbbbb", "aaaabaBBBAbbAbAbAbAb", "aaaabAbAbAbAbbABBBab"}, {"aaaaabaBABABAbbabbbb", "aaaabaBBBAbAbbAbAbAb", "aaabbAbbbABABABABAAB"}, {"aaaaabaBABABAbbbabbb", "aaaabaBBBAbAbAbbAbAb", "aaabaabAbAbAbAbbABBB"}, {"aaaaabaBABABAbbbbabb", "aaaababAbAbAbAbbABBB", "aaaabaBBBAbAbAbAbbAb"}, {"aaaaabaBABABABabbbbb", "aaaabaBBBBabAbAbAbAb", "aaaabAbAbAbAbbABBBAb"}, {"aaaaabaBABABABAbbbbb", "aaaaabAbAbAbAbbABBBB", "aaaabaBBBBAbAbAbAbAb"}, {"aaaaabaBABABABBabbbb", "aaaababABABABAbbbbAb", "aaabbABBBAbAbAbAbAAb"}, {"aaaaabaBABABABBAbbbb", "aaaabaBABABABAbbbbAb", "aaaabAbAbAbAbbABBBAB"}, {"aaaaabaBABABABBABBBB", "aaaaabaBBBBaBBaBaBaB", "aaaabababababbaBBBaB"}, {"aaaaabaBABABABBBabbb", "aaaabababABABAbbbbAb", "aaabbbABBAbAbAbAbAAb"}, {"aaaaabaBABABABBBAbbb", "aaaababaBABABAbbbbAb", "aaabbaBBBAbAbAbAbAAb"}, {"aaaaabaBABABABBBABBB", "aaaaabaBBBBaBaBBaBaB", "aaabababababbaBBBaaB"}, {"aaaaabaBABABABBBBabb", "aaaababababABAbbbbAb", "aaaabAbababababbaBBB"}, {"aaaaabaBABABABBBBAbb", "aaaabababaBABAbbbbAb", "aaabbbaBBAbAbAbAbAAb"}, {"aaaaabaBABABABBBBABB", "aaaaabaBBBBaBaBaBBaB", "aaabaaBaBaBaBaBBabbb"}, {"aaaaabaBABABABBBBBab", "aaaaabbababababbaBBB", "aaaabababababAbbbbAb"}, {"aaaaabaBABABABBBBBAb", "aaaababababaBAbbbbAb", "aaaabABaBaBaBaBBabbb"}, {"aaaaabaBABABABBBBBAB", "aaaaabaBBBBaBaBaBaBB", "aaaabaBaBaBaBaBBabbb"}, {"aaaaabaBABABBababbbb", "aaaabaBBBaBabbAbAbAb", "aaabAbAbAbAbbABBAAbb"}, {"aaaaabaBABABBabbabbb", "aaaabaBBBaBabAbbAbAb", "aabbABABBAbAbAbAbAAb"}, {"aaaaabaBABABBabbbabb", "aaaabaBBBaBabAbAbbAb", "aababAbAbAbAbbABBAAb"}, {"aaaaabaBABABBabbbbab", "aaaabaBBBaBabAbAbAbb", "aaabbAbAbAbAbbABBAAb"}, {"aaaaabaBABABBAbabbbb", "aaaabaBBBaBAbbAbAbAb", "aaabAbAbAbAbbABBABab"}, {"aaaaabaBABABBAbbabbb", "aaaabaBBBaBAbAbbAbAb", "aabaabAbAbAbAbbABBAB"}, {"aaaaabaBABABBAbbbabb", "aaaabaBBBaBAbAbAbbAb", "aaababAbAbAbAbbABBAB"}, {"aaaaabaBABABBAbbbbab", "aaaabaBBBaBAbAbAbAbb", "aaaabbAbAbAbAbbABBAB"}, {"aaaaabaBABABBABabbbb", "aaaabaBBBaBBabAbAbAb", "aaabAbAbAbAbbABBABAb"}, {"aaaaabaBABABBABAbbbb", "aaaabaBBBaBBAbAbAbAb", "aaaabAbAbAbAbbABBABB"}, {"aaaaabaBABABBABABBBB", "aaaaabaBBBaBBBaBaBaB", "aaaabababababbaBBaBB"}, {"aaaaabaBABABBABBabbb", "aaaabaBBBaBBaBabAbAb", "aababbABBAbAbAbAbAAb"}, {"aaaaabaBABABBABBAbbb", "aaaabaBBBaBBaBAbAbAb", "aaabAbAbAbAbbABBABAB"}, {"aaaaabaBABABBABBABBB", "aaaaabaBBBaBBaBBaBaB", "aaabababababbaBBaBaB"}, {"aaaaabaBABABBABBBabb", "aaaabaBBBaBBaBaBabAb", "aaabAbababababbaBBaB"}, {"aaaaabaBABABBABBBAbb", "aaaabaBBBaBBaBaBAbAb", "aababbaBBAbAbAbAbAAb"}, {"aaaaabaBABABBABBBABB", "aaaaabaBBBaBBaBaBBaB", "aabaaBaBaBaBaBBabbab"}, {"aaaaabaBABABBABBBBab", "aaaabaBBBaBBaBaBaBab", "aaaabbababababbaBBaB"}, {"aaaaabaBABABBABBBBAb", "aaaabaBBBaBBaBaBaBAb", "aaabABaBaBaBaBBabbab"}, {"aaaaabaBABABBABBBBAB", "aaaaabaBBBaBBaBaBaBB", "aaabaBaBaBaBaBBabbab"}, {"aaaaabaBABABBBababbb", "aaaabaBBBaBaBabbAbAb", "aaabbAAbababababbaBB"}, {"aaaaabaBABABBBabbabb", "aaaabaBBBaBaBabAbbAb", "aaabAbAbababababbaBB"}, {"aaaaabaBABABBBabbbab", "aaaabaBBBaBaBabAbAbb", "aaabAAbbababababbaBB"}, {"aaaaabaBABABBBAbabbb", "aaaabaBBBaBaBAbbAbAb", "aabbaBABBAbAbAbAbAAb"}, {"aaaaabaBABABBBAbbabb", "aaaabaBBBaBaBAbAbbAb", "aababAbAbAbAbbABBAAB"}, {"aaaaabaBABABBBAbbbab", "aaaabaBBBaBaBAbAbAbb", "aaabbAbAbAbAbbABBAAB"}, {"aaaaabaBABABBBABabbb", "aaaabaBBBaBaBBabAbAb", "aabaBAABaBaBaBaBBabb"}, {"aaaaabaBABABBBABAbbb", "aaaabaBBBaBaBBAbAbAb", "aaabAbAbAbAbbABBAABB"}, {"aaaaabaBABABBBABABBB", "aaaaabaBBBaBaBBBaBaB", "aaabababababbaBBaaBB"}, {"aaaaabaBABABBBABBabb", "aaaabaBBBaBaBBaBabAb", "aabaaBABaBaBaBaBBabb"}, {"aaaaabaBABABBBABBAbb", "aaaabaBBBaBaBBaBAbAb", "aababAABaBaBaBaBBabb"}, {"aaaaabaBABABBBABBABB", "aaaaabaBBBaBaBBaBBaB", "aababaaBaBaBaBaBBabb"}, {"aaaaabaBABABBBABBBab", "aaaabaBBBaBaBBaBaBab", "aaabbababababbaBBaaB"}, {"aaaaabaBABABBBABBBAb", "aaaabaBBBaBaBBaBaBAb", "aabaabABaBaBaBaBBabb"}, {"aaaaabaBABABBBABBBAB", "aaaaabaBBBaBaBBaBaBB", "aabaabaBaBaBaBaBBabb"}, {"aaaaabaBABABBBBababb", "aaaabaBBBaBaBaBabbAb", "aaaabbAbababababbaBB"}, {"aaaaabaBABABBBBabbab", "aaaabaBBBaBaBaBabAbb", "aaaabAbbababababbaBB"}, {"aaaaabaBABABBBBAbabb", "aaaabaBBBaBaBaBAbbAb", "aaabABABaBaBaBaBBabb"}, {"aaaaabaBABABBBBAbbab", "aaaabaBBBaBaBaBAbAbb", "aaabAABBaBaBaBaBBabb"}, {"aaaaabaBABABBBBABabb", "aaaabaBBBaBaBaBBabAb", "aaabaBABaBaBaBaBBabb"}, {"aaaaabaBABABBBBABAbb", "aaaabaBBBaBaBaBBAbAb", "aaabbAABaBaBaBaBBabb"}, {"aaaaabaBABABBBBABABB", "aaaaabaBBBaBaBaBBBaB", "aaabbaaBaBaBaBaBBabb"}, {"aaaaabaBABABBBBABBab", "aaaabaBBBaBaBaBBaBab", "aaabaaBBaBaBaBaBBabb"}, {"aaaaabaBABABBBBABBAb", "aaaabaBBBaBaBaBBaBAb", "aaababABaBaBaBaBBabb"}, {"aaaaabaBABABBBBABBAB", "aaaaabaBBBaBaBaBBaBB", "aaababaBaBaBaBaBBabb"}, {"aaaaabaBABABBBBBabab", "aaaaabbbababababbaBB", "aaaabaBBBaBaBaBaBabb"}, {"aaaaabaBABABBBBBAbab", "aaaabaBBBaBaBaBaBAbb", "aaaabABBaBaBaBaBBabb"}, {"aaaaabaBABABBBBBABab", "aaaabaBBaBaBaBaBBabb", "aaaabaBBBaBaBaBaBBab"}, {"aaaaabaBABBabababbbb", "aaaabaBBaBabbbAbAbAb", "aaabbbaBaBaBaBaaBABB"}, {"aaaaabaBABBababbabbb", "aaaabaBBaBabbAbbAbAb", "aababbaBaBaBaBaaBABB"}, {"aaaaabaBABBababbbabb", "aaaabaBBaBabbAbAbbAb", "aababAbAbAbAbbABAAbb"}, {"aaaaabaBABBababbbbab", "aaaabaBBaBabbAbAbAbb", "aaabbAbAbAbAbbABAAbb"}, {"aaaaabaBABBabbababbb", "aaaabaBBaBabAbbbAbAb", "aabbaBaBaBaBaaBABBab"}, {"aaaaabaBABBabbabbabb", "aaaabaBBaBabAbbAbbAb", "aabAbbaBaBaBabababab"}, {"aaaaabaBABBabbabbbab", "aaaabaBBaBabAbbAbAbb", "aababababaabAbbaBaBB"}, {"aaaaabaBABBabbbababb", "aaaabaBBaBabAbAbbbAb", "aabaBaBaBaBaaBABBabb"}, {"aaaaabaBABBabbbabbab", "aaaabaBBaBabAbAbbAbb", "aababababaabAbbaBBaB"}, {"aaaaabaBABBabbbbabab", "aaaabaBBaBabAbAbAbbb", "aaababababaabAbbaBBB"}, {"aaaaabaBABBAbababbbb", "aaaabaBBaBAbbbAbAbAb", "aaabAbAbAbAbbABABabb"}, {"aaaaabaBABBAbabbabbb", "aaaabaBBaBAbbAbbAbAb", "aabAbAbAbAbbABABabab"}, {"aaaaabaBABBAbabbbabb", "aaaabaBBaBAbbAbAbbAb", "aababAbAbAbAbbABABab"}, {"aaaaabaBABBAbabbbbab", "aaaabaBBaBAbbAbAbAbb", "aaabbAbAbAbAbbABABab"}, {"aaaaabaBABBAbbababbb", "aaaabaBBaBAbAbbbAbAb", "aabbaabAbAbAbAbbABAB"}, {"aaaaabaBABBAbbabbabb", "aaaabaBBaBAbAbbAbbAb", "aabababAbAbAbAbbABAB"}, {"aaaaabaBABBAbbabbbab", "aaaabaBBaBAbAbbAbAbb", "aabaabbAbAbAbAbbABAB"}, {"aaaaabaBABBAbbbababb", "aaaabaBBaBAbAbAbbbAb", "aaabbabAbAbAbAbbABAB"}, {"aaaaabaBABBAbbbabbab", "aaaabaBBaBAbAbAbbAbb", "aaababbAbAbAbAbbABAB"}, {"aaaaabaBABBAbbbbabab", "aaaabaBBaBAbAbAbAbbb", "aaaabbbAbAbAbAbbABAB"}, {"aaaaabaBABBABababbbb", "aaaabaBBaBBabbAbAbAb", "aaabAbAbAbAbbABABAbb"}, {"aaaaabaBABBABabbabbb", "aaaabaBBaBBabAbbAbAb", "aabAbAbaBaBBabababab"}, {"aaaaabaBABBABabbbabb", "aaaabaBBaBBabAbAbbAb", "aababAbAbAbAbbABABAb"}, {"aaaaabaBABBABabbbbab", "aaaabaBBaBBabAbAbAbb", "aaabbAbAbAbAbbABABAb"}, {"aaaaabaBABBABAbabbbb", "aaaabaBBaBBAbbAbAbAb", "aaabAbAbAbAbbABABBab"}, {"aaaaabaBABBABAbbabbb", "aaaabaBBaBBAbAbbAbAb", "aabaabAbAbAbAbbABABB"}, {"aaaaabaBABBABAbbbabb", "aaaabaBBaBBAbAbAbbAb", "aaababAbAbAbAbbABABB"}, {"aaaaabaBABBABAbbbbab", "aaaabaBBaBBAbAbAbAbb", "aaaabbAbAbAbAbbABABB"}, {"aaaaabaBABBABABabbbb", "aaaabaBBaBBBabAbAbAb", "aaabAbAbAbAbbABABBAb"}, {"aaaaabaBABBABABAbbbb", "aaaabaBBaBBBAbAbAbAb", "aaaabAbAbAbAbbABABBB"}, {"aaaaabaBABBABABABBBB", "aaaaabaBBaBBBBaBaBaB", "aaaabababababbaBaBBB"}, {"aaaaabaBABBABABBabbb", "aaaabaBBaBBBaBabAbAb", "aabbABBAbAbAbAbAAbab"}, {"aaaaabaBABBABABBAbbb", "aaaabaBBaBBBaBAbAbAb", "aaabAbAbAbAbbABABBAB"}, {"aaaaabaBABBABABBABBB", "aaaaabaBBaBBBaBBaBaB", "aaabababababbaBaBBaB"}, {"aaaaabaBABBABABBBabb", "aaaabaBBaBBBaBaBabAb", "aaabAbababababbaBaBB"}, {"aaaaabaBABBABABBBAbb", "aaaabaBBaBBBaBaBAbAb", "aabbaBBAbAbAbAbAAbab"}, {"aaaaabaBABBABABBBABB", "aaaaabaBBaBBBaBaBBaB", "aabaaBaBaBaBaBBababb"}, {"aaaaabaBABBABABBBBab", "aaaabaBBaBBBaBaBaBab", "aaaabbababababbaBaBB"}, {"aaaaabaBABBABABBBBAb", "aaaabaBBaBBBaBaBaBAb", "aaabABaBaBaBaBBababb"}, {"aaaaabaBABBABABBBBAB", "aaaaabaBBaBBBaBaBaBB", "aaabaBaBaBaBaBBababb"}, {"aaaaabaBABBABBababbb", "aaaabaBBaBBaBabbAbAb", "aabbaBaBaBaBaaBABABB"}, {"aaaaabaBABBABBabbabb", "aaaabaBBaBBaBabAbbAb", "aabAbAbababababbaBaB"}, {"aaaaabaBABBABBabbbab", "aaaabaBBaBBaBabAbAbb", "aababababaabAbAbbaBB"}, {"aaaaabaBABBABBAbabbb", "aaaabaBBaBBaBAbbAbAb", "aabAbAbAbAbbABABABab"}, {"aaaaabaBABBABBAbbabb", "aaaabaBBaBBaBAbAbbAb", "aababAbAbAbAbbABABAB"}, {"aaaaabaBABBABBAbbbab", "aaaabaBBaBBaBAbAbAbb", "aaabbAbAbAbAbbABABAB"}, {"aaaaabaBABBABBABabbb", "aaaabaBBaBBaBBabAbAb", "aabAbAbAbaBBabababab"}, {"aaaaabaBABBABBABAbbb", "aaaabaBBaBBaBBAbAbAb", "aaabAbAbAbAbbABABABB"}, {"aaaaabaBABBABBABABBB", "aaaaabaBBaBBaBBBaBaB", "aaabababababbaBaBaBB"}, {"aaaaabaBABBABBABBabb", "aaaabaBBaBBaBBaBabAb", "aabAbababababbaBaBaB"}, {"aaaaabaBABBABBABBAbb", "aaaabaBBaBBaBBaBAbAb", "aabAbAbAbAbbABABABAB"}, {"aaaaabaBABBABBABBABB", "aaaaabaBBaBBaBBaBBaB", "aabababababbaBaBaBaB"}, {"aaaaabaBABBABBABBBab", "aaaabaBBaBBaBBaBaBab", "aaabbababababbaBaBaB"}, {"aaaaabaBABBABBABBBAb", "aaaabaBBaBBaBBaBaBAb", "aabAbAbAbbABabababab"}, {"aaaaabaBABBABBABBBAB", "aaaaabaBBaBBaBBaBaBB", "aabaBaBaBaBaBBababab"}, {"aaaaabaBABBABBBababb", "aaaabaBBaBBaBaBabbAb", "aaabbAbababababbaBaB"}, {"aaaaabaBABBABBBabbab", "aaaabaBBaBBaBaBabAbb", "aaabAbbababababbaBaB"}, {"aaaaabaBABBABBBAbabb", "aaaabaBBaBBaBaBAbbAb", "aabAbAbbABaBabababab"}, {"aaaaabaBABBABBBAbbab", "aaaabaBBaBBaBaBAbAbb", "aababababaabAbAbbABB"}, {"aaaaabaBABBABBBABabb", "aaaabaBBaBBaBaBBabAb", "aabaBABaBaBaBaBBabab"}, {"aaaaabaBABBABBBABAbb", "aaaabaBBaBBaBaBBAbAb", "aabbAABaBaBaBaBBabab"}, {"aaaaabaBABBABBBABABB", "aaaaabaBBaBBaBaBBBaB", "aabababababbaBaBaaBB"}, {"aaaaabaBABBABBBABBab", "aaaabaBBaBBaBaBBaBab", "aabaaBBaBaBaBaBBabab"}, {"aaaaabaBABBABBBABBAb", "aaaabaBBaBBaBaBBaBAb", "aababABaBaBaBaBBabab"}, {"aaaaabaBABBABBBABBAB", "aaaaabaBBaBBaBaBBaBB", "aababaBaBaBaBaBBabab"}, {"aaaaabaBABBABBBBabab", "aaaabaBBaBBaBaBaBabb", "aaaabbbababababbaBaB"}, {"aaaaabaBABBABBBBAbab", "aaaabaBBaBBaBaBaBAbb", "aaabABBaBaBaBaBBabab"}, {"aaaaabaBABBABBBBABab", "aaaabaBBaBBaBaBaBBab", "aaabaBBaBaBaBaBBabab"}, {"aaaaabaBABBABBBBABAb", "aaaabaBBaBBaBaBaBBAb", "aaabbABaBaBaBaBBabab"}, {"aaaaabaBABBABBBBABAB", "aaaaabaBBaBBaBaBaBBB", "aaabbaBaBaBaBaBBabab"}, {"aaaaabaBABBBabababbb", "aaaabaBBaBaBabbbAbAb", "aaabbaBaBaBaBaaBABBB"}, {"aaaaabaBABBBababbabb", "aaaabaBBaBaBabbAbbAb", "aaabbAbAbababababbaB"}, {"aaaaabaBABBBababbbab", "aaaabaBBaBaBabbAbAbb", "aaabbAAbbababababbaB"}, {"aaaaabaBABBBabbababb", "aaaabaBBaBaBabAbbbAb", "aaabAbbAbababababbaB"}, {"aaaaabaBABBBabbabbab", "aaaabaBBaBaBabAbbAbb", "aaabAbAbbababababbaB"}, {"aaaaabaBABBBabbbabab", "aaaabaBBaBaBabAbAbbb", "aaababababaabAbbbaBB"}, {"aaaaabaBABBBAbababbb", "aaaabaBBaBaBAbbbAbAb", "aabbaBaBaBaBaaBABBAb"}, {"aaaaabaBABBBAbabbabb", "aaaabaBBaBaBAbbAbbAb", "aabAbbABaBaBabababab"}, {"aaaaabaBABBBAbabbbab", "aaaabaBBaBaBAbbAbAbb", "aababababaabAbbABaBB"}, {"aaaaabaBABBBAbbababb", "aaaabaBBaBaBAbAbbbAb", "aabaBaBaBaBaaBABBAbb"}, {"aaaaabaBABBBAbbabbab", "aaaabaBBaBaBAbAbbAbb", "aababababaabAbbABBaB"}, {"aaaaabaBABBBAbbbabab", "aaaabaBBaBaBAbAbAbbb", "aaababababaabAbbABBB"}, {"aaaaabaBABBBABababbb", "aaaabaBBaBaBBabbAbAb", "aabaBBAABaBaBaBaBBab"}, {"aaaaabaBABBBABabbabb", "aaaabaBBaBaBBabAbbAb", "aabaBABABaBaBaBaBBab"}, {"aaaaabaBABBBABabbbab", "aaaabaBBaBaBBabAbAbb", "aababababaabAbbAbaBB"}, {"aaaaabaBABBBABAbabbb", "aaaabaBBaBaBBAbbAbAb", "aabbABAABaBaBaBaBBab"}, {"aaaaabaBABBBABAbbabb", "aaaabaBBaBaBBAbAbbAb", "aababAbAbAbAbbABAABB"}, {"aaaaabaBABBBABAbbbab", "aaaabaBBaBaBBAbAbAbb", "aaabbAbAbAbAbbABAABB"}, {"aaaaabaBABBBABABabbb", "aaaabaBBaBaBBBabAbAb", "aabbaBAABaBaBaBaBBab"}, {"aaaaabaBABBBABABAbbb", "aaaabaBBaBaBBBAbAbAb", "aaabbbABABABABAABaBB"}, {"aaaaabaBABBBABABABBB", "aaaaabaBBaBaBBBBaBaB", "aaabababababbaBaaBBB"}, {"aaaaabaBABBBABABBabb", "aaaabaBBaBaBBBaBabAb", "aabbaaBABaBaBaBaBBab"}, {"aaaaabaBABBBABABBAbb", "aaaabaBBaBaBBBaBAbAb", "aabaBBAbAbAbAbAAbabb"}, {"aaaaabaBABBBABABBABB", "aaaaabaBBaBaBBBaBBaB", "aabababababbaBaaBBaB"}, {"aaaaabaBABBBABABBBab", "aaaabaBBaBaBBBaBaBab", "aaabbababababbaBaaBB"}, {"aaaaabaBABBBABABBBAb", "aaaabaBBaBaBBBaBaBAb", "aabbaabABaBaBaBaBBab"}, {"aaaaabaBABBBABABBBAB", "aaaaabaBBaBaBBBaBaBB", "aabaBaBaBaBaBBabaabb"}, {"aaaaabaBABBBABBababb", "aaaabaBBaBaBBaBabbAb", "aabaaBBABaBaBaBaBBab"}, {"aaaaabaBABBBABBabbab", "aaaabaBBaBaBBaBabAbb", "aabaaBABBaBaBaBaBBab"}, {"aaaaabaBABBBABBAbabb", "aaaabaBBaBaBBaBAbbAb", "aababABABaBaBaBaBBab"}, {"aaaaabaBABBBABBAbbab", "aaaabaBBaBaBBaBAbAbb", "aababababaabAbbAbABB"}, {"aaaaabaBABBBABBABabb", "aaaabaBBaBaBBaBBabAb", "aababaBABaBaBaBaBBab"}, {"aaaaabaBABBBABBABAbb", "aaaabaBBaBaBBaBBAbAb", "aababbAABaBaBaBaBBab"}, {"aaaaabaBABBBABBABABB", "aaaaabaBBaBaBBaBBBaB", "aabababababbaBaaBaBB"}, {"aaaaabaBABBBABBABBab", "aaaabaBBaBaBBaBBaBab", "aababaaBBaBaBaBaBBab"}, {"aaaaabaBABBBABBABBAb", "aaaabaBBaBaBBaBBaBAb", "aabababABaBaBaBaBBab"}, {"aaaaabaBABBBABBABBAB", "aaaaabaBBaBaBBaBBaBB", "aabababaBaBaBaBaBBab"}, {"aaaaabaBABBBABBBabab", "aaaabaBBaBaBBaBaBabb", "aaababababaabAbbAbbb"}, {"aaaaabaBABBBABBBAbab", "aaaabaBBaBaBBaBaBAbb", "aabaabABBaBaBaBaBBab"}, {"aaaaabaBABBBABBBABab", "aaaabaBBaBaBBaBaBBab", "aabaabaBBaBaBaBaBBab"}, {"aaaaabaBABBBABBBABAb", "aaaabaBBaBaBBaBaBBAb", "aabaabbABaBaBaBaBBab"}, {"aaaaabaBABBBABBBABAB", "aaaaabaBBaBaBBaBaBBB", "aabaabbaBaBaBaBaBBab"}, {"aaaaabaBABBBBabababb", "aaaabaBBaBaBaBabbbAb", "aaaabbbAbababababbaB"}, {"aaaaabaBABBBBababbab", "aaaabaBBaBaBaBabbAbb", "aaaabbAbbababababbaB"}, {"aaaaabaBABBBBabbabab", "aaaabaBBaBaBaBabAbbb", "aaaabAbbbababababbaB"}, {"aaaaabaBABBBBAbababb", "aaaabaBBaBaBaBAbbbAb", "aaabABBABaBaBaBaBBab"}, {"aaaaabaBABBBBAbabbab", "aaaabaBBaBaBaBAbbAbb", "aaabABABBaBaBaBaBBab"}, {"aaaaabaBABBBBAbbabab", "aaaabaBBaBaBaBAbAbbb", "aaababababaabAbbbABB"}, {"aaaaabaBABBBBABababb", "aaaabaBBaBaBaBBabbAb", "aaabaBBABaBaBaBaBBab"}, {"aaaaabaBABBBBABabbab", "aaaabaBBaBaBaBBabAbb", "aaabaBABBaBaBaBaBBab"}, {"aaaaabaBABBBBABAbabb", "aaaabaBBaBaBaBBAbbAb", "aaabbABABaBaBaBaBBab"}, {"aaaaabaBABBBBABAbbab", "aaaabaBBaBaBaBBAbAbb", "aaabbAABBaBaBaBaBBab"}, {"aaaaabaBABBBBABABabb", "aaaabaBBaBaBaBBBabAb", "aaabbaBABaBaBaBaBBab"}, {"aaaaabaBABBBBABABAbb", "aaaabaBBaBaBaBBBAbAb", "aaabbbAABaBaBaBaBBab"}, {"aaaaabaBABBBBABABABB", "aaaaabaBBaBaBaBBBBaB", "aaabbbaaBaBaBaBaBBab"}, {"aaaaabaBABBBBABABBab", "aaaabaBBaBaBaBBBaBab", "aaabbaaBBaBaBaBaBBab"}, {"aaaaabaBABBBBABABBAb", "aaaabaBBaBaBaBBBaBAb", "aaabbabABaBaBaBaBBab"}, {"aaaaabaBABBBBABABBAB", "aaaaabaBBaBaBaBBBaBB", "aaabbabaBaBaBaBaBBab"}, {"aaaaabaBABBBBABBabab", "aaaabaBBaBaBaBBaBabb", "aaabaaBBBaBaBaBaBBab"}, {"aaaaabaBABBBBABBAbab", "aaaabaBBaBaBaBBaBAbb", "aaababABBaBaBaBaBBab"}, {"aaaaabaBABBBBABBABab", "aaaabaBBaBaBaBBaBBab", "aaababaBBaBaBaBaBBab"}, {"aaaaabaBABBBBABBABAb", "aaaabaBBaBaBaBBaBBAb", "aaababbABaBaBaBaBBab"}, {"aaaaabaBABBBBABBABAB", "aaaaabaBBaBaBaBBaBBB", "aaababbaBaBaBaBaBBab"}, {"aaaaabaBABBBBBababab", "aaaaabbbbababababbaB", "aaaabaBBaBaBaBaBabbb"}, {"aaaaabaBABBBBBAbabab", "aaaabaBBaBaBaBaBAbbb", "aaaabABBBaBaBaBaBBab"}, {"aaaaabaBBababababbbb", "aaaabababaBBBBaBABAB", "aaaabbbaBaBaBaBaaBBB"}, {"aaaaabaBBabababbabbb", "aaaabaBaBabbbAbbAbAb", "aaababbaBaBaBaBaaBBB"}, {"aaaaabaBBabababbbabb", "aaaabaBaBabbbAbAbbAb", "aaabbabaBaBaBaBaaBBB"}, {"aaaaabaBBabababbbbab", "aaaabaBaBabbbAbAbAbb", "aaabbbaaBaBaBaBaaBBB"}, {"aaaaabaBBababbababbb", "aaaabaBaBabbAbbbAbAb", "aaabbAbbAAbababababb"}, {"aaaaabaBBababbabbabb", "aaaabaBaBabbAbbAbbAb", "aaabbAbAbAbababababb"}, {"aaaaabaBBababbabbbab", "aaaabaBaBabbAbbAbAbb", "aaabbAbAAbbababababb"}, {"aaaaabaBBababbbababb", "aaaabaBaBabbAbAbbbAb", "aaabbAAbbAbababababb"}, {"aaaaabaBBababbbabbab", "aaaabaBaBabbAbAbbAbb", "aaabbAAbAbbababababb"}, {"aaaaabaBBababbbbabab", "aaaabaBaBabbAbAbAbbb", "aaababababaabbbaaBBB"}, {"aaaaabaBBabbabababbb", "aaaababaBBBBaBABABab", "aaabbaBaBaBaBaaBBBab"}, {"aaaaabaBBabbababbabb", "aaaabaBaBabAbbbAbbAb", "aaabAbbAbAbababababb"}, {"aaaaabaBBabbababbbab", "aaaabaBaBabAbbbAbAbb", "aaabAbbAAbbababababb"}, {"aaaaabaBBabbabbababb", "aaaabaBaBabAbbAbbbAb", "aaabAbAbbAbababababb"}, {"aaaaabaBBabbabbabbab", "aaaabaBaBabAbbAbbAbb", "aaabAbAbAbbababababb"}, {"aaaaabaBBabbabbbabab", "aaaabaBaBabAbbAbAbbb", "aaababababaabbbaBaBB"}, {"aaaaabaBBabbbabababb", "aaaabaBaBabAbAbbbbAb", "aaabaBaBaBaBaaBBBabb"}, {"aaaaabaBBabbbababbab", "aaaabaBaBabAbAbbbAbb", "aaabAAbbAbbababababb"}, {"aaaaabaBBabbbabbabab", "aaaabaBaBabAbAbbAbbb", "aaababababaabbbaBBaB"}, {"aaaaabaBBabbbbababab", "aaaababababaabbbaBBB", "aaaabaBaBabAbAbAbbbb"}, {"aaaaabaBBAbabababbbb", "aaaabababaBBBBaBABAb", "aaabbbaBaBaBaBaaBBAb"}, {"aaaaabaBBAbababbabbb", "aaaabaBaBAbbbAbbAbAb", "aababbaBaBaBaBaaBBAb"}, {"aaaaabaBBAbababbbabb", "aaaabaBaBAbbbAbAbbAb", "aababAbAbAbAbbAABabb"}, {"aaaaabaBBAbababbbbab", "aaaabaBaBAbbbAbAbAbb", "aaabbAbAbAbAbbAABabb"}, {"aaaaabaBBAbabbababbb", "aaaabaBaBAbbAbbbAbAb", "aabbaBaBaBaBaaBBAbab"}, {"aaaaabaBBAbabbabbabb", "aaaabaBaBAbbAbbAbbAb", "aabbABaBaBaBabababab"}, {"aaaaabaBBAbabbabbbab", "aaaabaBaBAbbAbbAbAbb", "aababababaabbABaBaBB"}, {"aaaaabaBBAbabbbababb", "aaaabaBaBAbbAbAbbbAb", "aabaBaBaBaBaaBBAbabb"}, {"aaaaabaBBAbabbbabbab", "aaaabaBaBAbbAbAbbAbb", "aababababaabbABaBBaB"}, {"aaaaabaBBAbabbbbabab", "aaaabaBaBAbbAbAbAbbb", "aaababababaabbABaBBB"}, {"aaaaabaBBAbbabababbb", "aaaababaBBBBaBABAbab", "aaabbaBaBaBaBaaBBAbb"}, {"aaaaabaBBAbbababbabb", "aaaabaBaBAbAbbbAbbAb", "aababaBaBaBaBaaBBAbb"}, {"aaaaabaBBAbbababbbab", "aaaabaBaBAbAbbbAbAbb", "aababababaabbABBaaBB"}, {"aaaaabaBBAbbabbababb", "aaaabaBaBAbAbbAbbbAb", "aababbabAbAbAbAbbAAB"}, {"aaaaabaBBAbbabbabbab", "aaaabaBaBAbAbbAbbAbb", "aababababaabbABBaBaB"}, {"aaaaabaBBAbbabbbabab", "aaaabaBaBAbAbbAbAbbb", "aaababababaabbABBaBB"}, {"aaaaabaBBAbbbabababb", "aaaabaBaBAbAbAbbbbAb", "aaabaBaBaBaBaaBBAbbb"}, {"aaaaabaBBAbbbababbab", "aaaabaBaBAbAbAbbbAbb", "aaabbabbAbAbAbAbbAAB"}, {"aaaaabaBBAbbbabbabab", "aaaabaBaBAbAbAbbAbbb", "aaababababaabbABBBaB"}, {"aaaaabaBBAbbbbababab", "aaaababababaabbABBBB", "aaaabaBaBAbAbAbAbbbb"}, {"aaaaabaBBABabababbbb", "aaaabaBaBBabbbAbAbAb", "aaabbbaBaBaBaBaaBBAB"}, {"aaaaabaBBABababbabbb", "aaaabaBaBBabbAbbAbAb", "aababbaBaBaBaBaaBBAB"}, {"aaaaabaBBABababbbabb", "aaaabaBaBBabbAbAbbAb", "aababAbAbAbAbbAABAbb"}, {"aaaaabaBBABababbbbab", "aaaabaBaBBabbAbAbAbb", "aaabbAbAbAbAbbAABAbb"}, {"aaaaabaBBABabbababbb", "aaaabaBaBBabAbbbAbAb", "aabaBABBAABaBaBaBaBB"}, {"aaaaabaBBABabbabbabb", "aaaabaBaBBabAbbAbbAb", "aabaBABABABaBaBaBaBB"}, {"aaaaabaBBABabbabbbab", "aaaabaBaBBabAbbAbAbb", "aababababaabbAbaBaBB"}, {"aaaaabaBBABabbbababb", "aaaabaBaBBabAbAbbbAb", "aabaBaBaBaBaaBBABabb"}, {"aaaaabaBBABabbbabbab", "aaaabaBaBBabAbAbbAbb", "aababababaabbAbaBBaB"}, {"aaaaabaBBABabbbbabab", "aaaabaBaBBabAbAbAbbb", "aaababababaabbAbaBBB"}, {"aaaaabaBBABAbababbbb", "aaaabaBaBBAbbbAbAbAb", "aaabAbAbAbAbbAABBabb"}, {"aaaaabaBBABAbabbabbb", "aaaabaBaBBAbbAbbAbAb", "aabbAABaBaBBabababab"}, {"aaaaabaBBABAbabbbabb", "aaaabaBaBBAbbAbAbbAb", "aababAbAbAbAbbAABBab"}, {"aaaaabaBBABAbabbbbab", "aaaabaBaBBAbbAbAbAbb", "aaabbAbAbAbAbbAABBab"}, {"aaaaabaBBABAbbababbb", "aaaabaBaBBAbAbbbAbAb", "aabbaabAbAbAbAbbAABB"}, {"aaaaabaBBABAbbabbabb", "aaaabaBaBBAbAbbAbbAb", "aabababAbAbAbAbbAABB"}, {"aaaaabaBBABAbbabbbab", "aaaabaBaBBAbAbbAbAbb", "aabaabbAbAbAbAbbAABB"}, {"aaaaabaBBABAbbbababb", "aaaabaBaBBAbAbAbbbAb", "aaabbabAbAbAbAbbAABB"}, {"aaaaabaBBABAbbbabbab", "aaaabaBaBBAbAbAbbAbb", "aaababbAbAbAbAbbAABB"}, {"aaaaabaBBABAbbbbabab", "aaaabaBaBBAbAbAbAbbb", "aaaabbbAbAbAbAbbAABB"}, {"aaaaabaBBABABababbbb", "aaaabaBaBBBabbAbAbAb", "aaabAbAbAbAbbAABBAbb"}, {"aaaaabaBBABABabbabbb", "aaaabaBaBBBabAbbAbAb", "aabbaBABAABaBaBaBaBB"}, {"aaaaabaBBABABabbbabb", "aaaabaBaBBBabAbAbbAb", "aababAbAbAbAbbAABBAb"}, {"aaaaabaBBABABabbbbab", "aaaabaBaBBBabAbAbAbb", "aaabbAbAbAbAbbAABBAb"}, {"aaaaabaBBABABAbabbbb", "aaaabaBaBBBAbbAbAbAb", "aaabAbbbABABABABAABB"}, {"aaaaabaBBABABAbbabbb", "aaaabaBaBBBAbAbbAbAb", "aaabbAbbABABABABAABB"}, {"aaaaabaBBABABAbbbabb", "aaaabaBaBBBAbAbAbbAb", "aaababAbAbAbAbbAABBB"}, {"aaaaabaBBABABAbbbbab", "aaaabaBaBBBAbAbAbAbb", "aaaabbAbAbAbAbbAABBB"}, {"aaaaabaBBABABABabbbb", "aaaabaBaBBBBabAbAbAb", "aaabAbAbAbAbbAABBBAb"}, {"aaaaabaBBABABABAbbbb", "aaaabaBaBBBBAbAbAbAb", "aaaabbbbABABABABAABB"}, {"aaaaabaBBABABABBabbb", "aaaababABABAbbbbAbab", "aaabbABBAbAbAbAbAAbb"}, {"aaaaabaBBABABABBAbbb", "aaaabaBaBBBBaBAbAbAb", "aaabaBBBAbAbAbAbAAbb"}, {"aaaaabaBBABABABBBabb", "aaaabababABAbbbbAbab", "aaabbbABAbAbAbAbAAbb"}, {"aaaaabaBBABABABBBAbb", "aaaababaBABAbbbbAbab", "aaabbaBBAbAbAbAbAAbb"}, {"aaaaabaBBABABABBBBab", "aaaababababAbbbbAbab", "aaaabbababababbaaBBB"}, {"aaaaabaBBABABABBBBAb", "aaaabababaBAbbbbAbab", "aaabbbaBAbAbAbAbAAbb"}, {"aaaaabaBBABABBababbb", "aaaabaBaBBBaBabbAbAb", "aabbaaBBAABaBaBaBaBB"}, {"aaaaabaBBABABBabbabb", "aaaabaBaBBBaBabAbbAb", "aabbaaBABABaBaBaBaBB"}, {"aaaaabaBBABABBabbbab", "aaaabaBaBBBaBabAbAbb", "aababababaabbAAbbaBB"}, {"aaaaabaBBABABBAbabbb", "aaaabaBaBBBaBAbbAbAb", "aabaBABBAbAbAbAbAAbb"}, {"aaaaabaBBABABBAbbabb", "aaaabaBaBBBaBAbAbbAb", "aababAbAbAbAbbAABBAB"}, {"aaaaabaBBABABBAbbbab", "aaaabaBaBBBaBAbAbAbb", "aaabbAbAbAbAbbAABBAB"}, {"aaaaabaBBABABBABabbb", "aaaabaBaBBBaBBabAbAb", "aababABBAbAbAbAbAAbb"}, {"aaaaabaBBABABBABAbbb", "aaaabaBaBBBaBBAbAbAb", "aaabAbAbAbAbbAABBABB"}, {"aaaaabaBBABABBABBabb", "aaaabaBaBBBaBBaBabAb", "aababbABAbAbAbAbAAbb"}, {"aaaaabaBBABABBABBAbb", "aaaabaBaBBBaBBaBAbAb", "aababaBBAbAbAbAbAAbb"}, {"aaaaabaBBABABBABBBab", "aaaabaBaBBBaBBaBaBab", "aaabbababababbaaBBaB"}, {"aaaaabaBBABABBABBBAb", "aaaabaBaBBBaBBaBaBAb", "aababbaBAbAbAbAbAAbb"}, {"aaaaabaBBABABBBababb", "aaaabaBaBBBaBaBabbAb", "aaabbAbababababbaaBB"}, {"aaaaabaBBABABBBabbab", "aaaabaBaBBBaBaBabAbb", "aaabAbbababababbaaBB"}, {"aaaaabaBBABABBBAbabb", "aaaabaBaBBBaBaBAbbAb", "aabbaabABABaBaBaBaBB"}, {"aaaaabaBBABABBBAbbab", "aaaabaBaBBBaBaBAbAbb", "aababababaabbAAbbABB"}, {"aaaaabaBBABABBBABabb", "aaaabaBaBBBaBaBBabAb", "aabaBABaBaBaBaBBaabb"}, {"aaaaabaBBABABBBABAbb", "aaaabaBaBBBaBaBBAbAb", "aabbaabbAABaBaBaBaBB"}, {"aaaaabaBBABABBBABBab", "aaaabaBaBBBaBaBBaBab", "aabaaBBaBaBaBaBBaabb"}, {"aaaaabaBBABABBBABBAb", "aaaabaBaBBBaBaBBaBAb", "aababABaBaBaBaBBaabb"}, {"aaaaabaBBABABBBBabab", "aaaabaBaBBBaBaBaBabb", "aaaabbbababababbaaBB"}, {"aaaaabaBBABABBBBAbab", "aaaabaBaBBBaBaBaBAbb", "aaabABBaBaBaBaBBaabb"}, {"aaaaabaBBABABBBBABab", "aaaabaBaBBBaBaBaBBab", "aaabaBBaBaBaBaBBaabb"}, {"aaaaabaBBABABBBBABAb", "aaaabaBaBBBaBaBaBBAb", "aaabbABaBaBaBaBBaabb"}, {"aaaaabaBBABBabababbb", "aaaabaBaBBaBabbbAbAb", "aaabbaBaBaBaBaaBBABB"}, {"aaaaabaBBABBababbabb", "aaaabaBaBBaBabbAbbAb", "aabaaBBABABaBaBaBaBB"}, {"aaaaabaBBABBababbbab", "aaaabaBaBBaBabbAbAbb", "aabaaBBAABBaBaBaBaBB"}, {"aaaaabaBBABBabbababb", "aaaabaBaBBaBabAbbbAb", "aabaaBABBABaBaBaBaBB"}, {"aaaaabaBBABBabbabbab", "aaaabaBaBBaBabAbbAbb", "aabaaBABABBaBaBaBaBB"}, {"aaaaabaBBABBabbbabab", "aaaabaBaBBaBabAbAbbb", "aaababababaabbAbbaBB"}, {"aaaaabaBBABBAbababbb", "aaaabaBaBBaBAbbbAbAb", "aababABBAABaBaBaBaBB"}, {"aaaaabaBBABBAbabbabb", "aaaabaBaBBaBAbbAbbAb", "aababABABABaBaBaBaBB"}, {"aaaaabaBBABBAbabbbab", "aaaabaBaBBaBAbbAbAbb", "aababababaabbAbABaBB"}, {"aaaaabaBBABBAbbababb", "aaaabaBaBBaBAbAbbbAb", "aababAABBABaBaBaBaBB"}, {"aaaaabaBBABBAbbabbab", "aaaabaBaBBaBAbAbbAbb", "aababababaabbAbABBaB"}, {"aaaaabaBBABBAbbbabab", "aaaabaBaBBaBAbAbAbbb", "aaababababaabbAbABBB"}, {"aaaaabaBBABBABababbb", "aaaabaBaBBaBBabbAbAb", "aababaBBAABaBaBaBaBB"}, {"aaaaabaBBABBABabbabb", "aaaabaBaBBaBBabAbbAb", "aababaBABABaBaBaBaBB"}, {"aaaaabaBBABBABabbbab", "aaaabaBaBBaBBabAbAbb", "aababababaabbAbAbaBB"}, {"aaaaabaBBABBABAbabbb", "aaaabaBaBBaBBAbbAbAb", "aababbABAABaBaBaBaBB"}, {"aaaaabaBBABBABAbbabb", "aaaabaBaBBaBBAbAbbAb", "aababbAABABaBaBaBaBB"}, {"aaaaabaBBABBABAbbbab", "aaaabaBaBBaBBAbAbAbb", "aaabbAbAbAbAbbAABABB"}, {"aaaaabaBBABBABABabbb", "aaaabaBaBBaBBBabAbAb", "aababbaBAABaBaBaBaBB"}, {"aaaaabaBBABBABABAbbb", "aaaabaBaBBaBBBAbAbAb", "aaabbbABABABABAABBaB"}, {"aaaaabaBBABBABABBabb", "aaaabaBaBBaBBBaBabAb", "aababbaaBABaBaBaBaBB"}, {"aaaaabaBBABBABABBAbb", "aaaabaBaBBaBBBaBAbAb", "aababbabAABaBaBaBaBB"}, {"aaaaabaBBABBABABBBab", "aaaabaBaBBaBBBaBaBab", "aaabbababababbaaBaBB"}, {"aaaaabaBBABBABABBBAb", "aaaabaBaBBaBBBaBaBAb", "aababbaabABaBaBaBaBB"}, {"aaaaabaBBABBABBababb", "aaaabaBaBBaBBaBabbAb", "aababaaBBABaBaBaBaBB"}, {"aaaaabaBBABBABBabbab", "aaaabaBaBBaBBaBabAbb", "aababaaBABBaBaBaBaBB"}, {"aaaaabaBBABBABBAbabb", "aaaabaBaBBaBBaBAbbAb", "aabababABABaBaBaBaBB"}, {"aaaaabaBBABBABBAbbab", "aaaabaBaBBaBBaBAbAbb", "aababababaabbAbAbABB"}, {"aaaaabaBBABBABBABabb", "aaaabaBaBBaBBaBBabAb", "aabababaBABaBaBaBaBB"}, {"aaaaabaBBABBABBABAbb", "aaaabaBaBBaBBaBBAbAb", "aabababbAABaBaBaBaBB"}, {"aaaaabaBBABBABBABBab", "aaaabaBaBBaBBaBBaBab", "aabababaaBBaBaBaBaBB"}, {"aaaaabaBBABBABBABBAb", "aaaabaBaBBaBBaBBaBAb", "aababababABaBaBaBaBB"}, {"aaaaabaBBABBABBBabab", "aaaabaBaBBaBBaBaBabb", "aaababababaabbAbAbbb"}, {"aaaaabaBBABBABBBAbab", "aaaabaBaBBaBBaBaBAbb", "aababaabABBaBaBaBaBB"}, {"aaaaabaBBABBABBBABab", "aaaabaBaBBaBBaBaBBab", "aababaabaBBaBaBaBaBB"}, {"aaaaabaBBABBABBBABAb", "aaaabaBaBBaBBaBaBBAb", "aababaabbABaBaBaBaBB"}, {"aaaaabaBBABBBabababb", "aaaabaBaBBaBaBabbbAb", "aaabaBaBaBaBaaBBABBB"}, {"aaaaabaBBABBBababbab", "aaaabaBaBBaBaBabbAbb", "aaabbAbbababababbaaB"}, {"aaaaabaBBABBBabbabab", "aaaabaBaBBaBaBabAbbb", "aaababababaabbAbbbaB"}, {"aaaaabaBBABBBAbababb", "aaaabaBaBBaBaBAbbbAb", "aabaabABBABaBaBaBaBB"}, {"aaaaabaBBABBBAbabbab", "aaaabaBaBBaBaBAbbAbb", "aabaabABABBaBaBaBaBB"}, {"aaaaabaBBABBBAbbabab", "aaaabaBaBBaBaBAbAbbb", "aaababababaabbAbbABB"}, {"aaaaabaBBABBBABababb", "aaaabaBaBBaBaBBabbAb", "aabaabaBBABaBaBaBaBB"}, {"aaaaabaBBABBBABabbab", "aaaabaBaBBaBaBBabAbb", "aabaabaBABBaBaBaBaBB"}, {"aaaaabaBBABBBABAbabb", "aaaabaBaBBaBaBBAbbAb", "aabaabbABABaBaBaBaBB"}, {"aaaaabaBBABBBABAbbab", "aaaabaBaBBaBaBBAbAbb", "aabaabbAABBaBaBaBaBB"}, {"aaaaabaBBABBBABABabb", "aaaabaBaBBaBaBBBabAb", "aabaabbaBABaBaBaBaBB"}, {"aaaaabaBBABBBABABAbb", "aaaabaBaBBaBaBBBAbAb", "aaabbABABABABAABBaBB"}, {"aaaaabaBBABBBABABBab", "aaaabaBaBBaBaBBBaBab", "aabaabbaaBBaBaBaBaBB"}, {"aaaaabaBBABBBABABBAb", "aaaabaBaBBaBaBBBaBAb", "aabaabbabABaBaBaBaBB"}, {"aaaaabaBBABBBABBabab", "aaaabaBaBBaBaBBaBabb", "aaababababaabbAbbAbb"}, {"aaaaabaBBABBBABBAbab", "aaaabaBaBBaBaBBaBAbb", "aabaababABBaBaBaBaBB"}, {"aaaaabaBBABBBABBABab", "aaaabaBaBBaBaBBaBBab", "aabaababaBBaBaBaBaBB"}, {"aaaaabaBBABBBABBABAb", "aaaabaBaBBaBaBBaBBAb", "aabaababbABaBaBaBaBB"}, {"aaaaabaBBABBBBababab", "aaaababababaabbAbbbb", "aaaabaBaBBaBaBaBabbb"}, {"aaaaabaBBABBBBAbabab", "aaaabaBaBBaBaBaBAbbb", "aaababababaabbAbbbAB"}, {"aaaaabaBBABBBBABabab", "aaaabaBaBBaBaBaBBabb", "aaababababaabbAbbbAb"}, {"aaaaabaBBABBBBABAbab", "aaaabaBaBBaBaBaBBAbb", "aaabbABBaBaBaBaBBaab"}, {"aaaaabaBBABBBBABABab", "aaaabaBaBBaBaBaBBBab", "aaabbaBBaBaBaBaBBaab"}, {"aaaaabaBBABBBBABABAb", "aaaabaBaBBaBaBaBBBAb", "aaabbbABaBaBaBaBBaab"}, {"aaaaabaBBBababababbb", "aaaababaBBBBaBABABAB", "aaaabbaBaBaBaBaaBBBB"}, {"aaaaabaBBBabababbabb", "aaaabaBaBaBabbbAbbAb", "aaaabbbAbAbababababb"}, {"aaaaabaBBBabababbbab", "aaaabaBaBaBabbbAbAbb", "aaaabbbAAbbababababb"}, {"aaaaabaBBBababbababb", "aaaabaBaBaBabbAbbbAb", "aaaabbAbbAbababababb"}, {"aaaaabaBBBababbabbab", "aaaabaBaBaBabbAbbAbb", "aaaabbAbAbbababababb"}, {"aaaaabaBBBababbbabab", "aaaabaBaBaBabbAbAbbb", "aaaabbAAbbbababababb"}, {"aaaaabaBBBabbabababb", "aaaabaBaBaBabAbbbbAb", "aaaabAbbbAbababababb"}, {"aaaaabaBBBabbababbab", "aaaabaBaBaBabAbbbAbb", "aaaabAbbAbbababababb"}, {"aaaaabaBBBabbabbabab", "aaaabaBaBaBabAbbAbbb", "aaaabAbAbbbababababb"}, {"aaaaabaBBBabbbababab", "aaaababababaabbbbaBB", "aaaabaBaBaBabAbAbbbb"}, {"aaaaabaBBBAbabababbb", "aaaababaBBBBaBABABAb", "aaabbaBaBaBaBaaBBBAb"}, {"aaaaabaBBBAbababbabb", "aaaabaBaBaBAbbbAbbAb", "aaabABBABABaBaBaBaBB"}, {"aaaaabaBBBAbababbbab", "aaaabaBaBaBAbbbAbAbb", "aaabABBAABBaBaBaBaBB"}, {"aaaaabaBBBAbabbababb", "aaaabaBaBaBAbbAbbbAb", "aaabABABBABaBaBaBaBB"}, {"aaaaabaBBBAbabbabbab", "aaaabaBaBaBAbbAbbAbb", "aaabABABABBaBaBaBaBB"}, {"aaaaabaBBBAbabbbabab", "aaaabaBaBaBAbbAbAbbb", "aaababababaabbbABaBB"}, {"aaaaabaBBBAbbabababb", "aaaabaBaBaBAbAbbbbAb", "aaabaBaBaBaBaaBBBAbb"}, {"aaaaabaBBBAbbababbab", "aaaabaBaBaBAbAbbbAbb", "aaabAABBABBaBaBaBaBB"}, {"aaaaabaBBBAbbabbabab", "aaaabaBaBaBAbAbbAbbb", "aaababababaabbbABBaB"}, {"aaaaabaBBBAbbbababab", "aaaababababaabbbABBB", "aaaabaBaBaBAbAbAbbbb"}, {"aaaaabaBBBABabababbb", "aaaabaBaBaBBabbbAbAb", "aaabaBBBAABaBaBaBaBB"}, {"aaaaabaBBBABababbabb", "aaaabaBaBaBBabbAbbAb", "aaabaBBABABaBaBaBaBB"}, {"aaaaabaBBBABababbbab", "aaaabaBaBaBBabbAbAbb", "aaabaBBAABBaBaBaBaBB"}, {"aaaaabaBBBABabbababb", "aaaabaBaBaBBabAbbbAb", "aaabaBABBABaBaBaBaBB"}, {"aaaaabaBBBABabbabbab", "aaaabaBaBaBBabAbbAbb", "aaabaBABABBaBaBaBaBB"}, {"aaaaabaBBBABabbbabab", "aaaabaBaBaBBabAbAbbb", "aaababababaabbbAbaBB"}, {"aaaaabaBBBABAbababbb", "aaaabaBaBaBBAbbbAbAb", "aaabbABBAABaBaBaBaBB"}, {"aaaaabaBBBABAbabbabb", "aaaabaBaBaBBAbbAbbAb", "aaabbABABABaBaBaBaBB"}, {"aaaaabaBBBABAbabbbab", "aaaabaBaBaBBAbbAbAbb", "aaabbABAABBaBaBaBaBB"}, {"aaaaabaBBBABAbbababb", "aaaabaBaBaBBAbAbbbAb", "aaabbAABBABaBaBaBaBB"}, {"aaaaabaBBBABAbbabbab", "aaaabaBaBaBBAbAbbAbb", "aaabbAABABBaBaBaBaBB"}, {"aaaaabaBBBABAbbbabab", "aaaabaBaBaBBAbAbAbbb", "aaababababaabbbAABBB"}, {"aaaaabaBBBABABababbb", "aaaabaBaBaBBBabbAbAb", "aaabbaBBAABaBaBaBaBB"}, {"aaaaabaBBBABABabbabb", "aaaabaBaBaBBBabAbbAb", "aaabbaBABABaBaBaBaBB"}, {"aaaaabaBBBABABabbbab", "aaaabaBaBaBBBabAbAbb", "aaabbaBAABBaBaBaBaBB"}, {"aaaaabaBBBABABAbabbb", "aaaabaBaBaBBBAbbAbAb", "aaabbbABAABaBaBaBaBB"}, {"aaaaabaBBBABABAbbabb", "aaaabaBaBaBBBAbAbbAb", "aaabbbAABABaBaBaBaBB"}, {"aaaaabaBBBABABAbbbab", "aaaabaBaBaBBBAbAbAbb", "aaabbbAAABBaBaBaBaBB"}, {"aaaaabaBBBABABABabbb", "aaaabaBaBaBBBBabAbAb", "aaabbbaBAABaBaBaBaBB"}, {"aaaaabaBBBABABABAbbb", "aaaabaBaBaBBBBAbAbAb", "aaaabbbABABABABAABBB"}, {"aaaaabaBBBABABABBabb", "aaaababABAbbbbAbabab", "aaabbbaaBABaBaBaBaBB"}, {"aaaaabaBBBABABABBAbb", "aaaabaBaBaBBBBaBAbAb", "aaabaBBAbAbAbAbAAbbb"}, {"aaaaabaBBBABABABBBab", "aaaabababAbbbbAbabab", "aaabbababababbaaaBBB"}, {"aaaaabaBBBABABABBBAb", "aaaababaBAbbbbAbabab", "aaabbaBAbAbAbAbAAbbb"}, {"aaaaabaBBBABABBababb", "aaaabaBaBaBBBaBabbAb", "aaabbaaBBABaBaBaBaBB"}, {"aaaaabaBBBABABBabbab", "aaaabaBaBaBBBaBabAbb", "aaabbaaBABBaBaBaBaBB"}, {"aaaaabaBBBABABBAbabb", "aaaabaBaBaBBBaBAbbAb", "aaabbabABABaBaBaBaBB"}, {"aaaaabaBBBABABBAbbab", "aaaabaBaBaBBBaBAbAbb", "aaabbabAABBaBaBaBaBB"}, {"aaaaabaBBBABABBABabb", "aaaabaBaBaBBBaBBabAb", "aaabbabaBABaBaBaBaBB"}, {"aaaaabaBBBABABBABAbb", "aaaabaBaBaBBBaBBAbAb", "aaabbabbAABaBaBaBaBB"}, {"aaaaabaBBBABABBABBab", "aaaabaBaBaBBBaBBaBab", "aaabbabaaBBaBaBaBaBB"}, {"aaaaabaBBBABABBABBAb", "aaaabaBaBaBBBaBBaBAb", "aaabbababABaBaBaBaBB"}, {"aaaaabaBBBABABBBabab", "aaaabaBaBaBBBaBaBabb", "aaababababaabbbAAbbb"}, {"aaaaabaBBBABABBBAbab", "aaaabaBaBaBBBaBaBAbb", "aaabbaabABBaBaBaBaBB"}, {"aaaaabaBBBABABBBABab", "aaaabaBaBaBBBaBaBBab", "aaabbaabaBBaBaBaBaBB"}, {"aaaaabaBBBABABBBABAb", "aaaabaBaBaBBBaBaBBAb", "aaabbaabbABaBaBaBaBB"}, {"aaaaabaBBBABBabababb", "aaaabaBaBaBBaBabbbAb", "aaabaaBBBABaBaBaBaBB"}, {"aaaaabaBBBABBababbab", "aaaabaBaBaBBaBabbAbb", "aaabaaBBABBaBaBaBaBB"}, {"aaaaabaBBBABBabbabab", "aaaabaBaBaBBaBabAbbb", "aaabaaBABBBaBaBaBaBB"}, {"aaaaabaBBBABBAbababb", "aaaabaBaBaBBaBAbbbAb", "aaababABBABaBaBaBaBB"}, {"aaaaabaBBBABBAbabbab", "aaaabaBaBaBBaBAbbAbb", "aaababABABBaBaBaBaBB"}, {"aaaaabaBBBABBAbbabab", "aaaabaBaBaBBaBAbAbbb", "aaababababaabbbAbABB"}, {"aaaaabaBBBABBABababb", "aaaabaBaBaBBaBBabbAb", "aaababaBBABaBaBaBaBB"}, {"aaaaabaBBBABBABabbab", "aaaabaBaBaBBaBBabAbb", "aaababaBABBaBaBaBaBB"}, {"aaaaabaBBBABBABAbabb", "aaaabaBaBaBBaBBAbbAb", "aaababbABABaBaBaBaBB"}, {"aaaaabaBBBABBABAbbab", "aaaabaBaBaBBaBBAbAbb", "aaababbAABBaBaBaBaBB"}, {"aaaaabaBBBABBABABabb", "aaaabaBaBaBBaBBBabAb", "aaababbaBABaBaBaBaBB"}, {"aaaaabaBBBABBABABAbb", "aaaabaBaBaBBaBBBAbAb", "aaababbbAABaBaBaBaBB"}, {"aaaaabaBBBABBABABBab", "aaaabaBaBaBBaBBBaBab", "aaababbaaBBaBaBaBaBB"}, {"aaaaabaBBBABBABABBAb", "aaaabaBaBaBBaBBBaBAb", "aaababbabABaBaBaBaBB"}, {"aaaaabaBBBABBABBabab", "aaaabaBaBaBBaBBaBabb", "aaababaaBBBaBaBaBaBB"}, {"aaaaabaBBBABBABBAbab", "aaaabaBaBaBBaBBaBAbb", "aaabababABBaBaBaBaBB"}, {"aaaaabaBBBABBABBABab", "aaaabaBaBaBBaBBaBBab", "aaabababaBBaBaBaBaBB"}, {"aaaaabaBBBABBABBABAb", "aaaabaBaBaBBaBBaBBAb", "aaabababbABaBaBaBaBB"}, {"aaaaabaBBBABBBababab", "aaaababababaabbbAbbb", "aaaabaBaBaBBaBaBabbb"}, {"aaaaabaBBBABBBAbabab", "aaaabaBaBaBBaBaBAbbb", "aaabaabABBBaBaBaBaBB"}, {"aaaaabaBBBABBBABabab", "aaaabaBaBaBBaBaBBabb", "aaabaabaBBBaBaBaBaBB"}, {"aaaaabaBBBABBBABAbab", "aaaabaBaBaBBaBaBBAbb", "aaabaabbABBaBaBaBaBB"}, {"aaaaabaBBBABBBABABab", "aaaabaBaBaBBaBaBBBab", "aaabaabbaBBaBaBaBaBB"}, {"aaaaabaBBBABBBABABAb", "aaaabaBaBaBBaBaBBBAb", "aaabaabbbABaBaBaBaBB"}, {"aaaaabaBBBBababababb", "aaaaabbbbAbababababb", "aaaabaBaBaBaBabbbbAb"}, {"aaaaabaBBBBabababbab", "aaaaabbbAbbababababb", "aaaabaBaBaBaBabbbAbb"}, {"aaaaabaBBBBababbabab", "aaaaabbAbbbababababb", "aaaabaBaBaBaBabbAbbb"}, {"aaaaabaBBBBabbababab", "aaaaabAbbbbababababb", "aaaabaBaBaBaBabAbbbb"}, {"aaaaabaBBBBAbabababb", "aaaabaBaBaBaBAbbbbAb", "aaaabABBBABaBaBaBaBB"}, {"aaaaabaBBBBAbababbab", "aaaabaBaBaBaBAbbbAbb", "aaaabABBABBaBaBaBaBB"}, {"aaaaabaBBBBAbabbabab", "aaaabaBaBaBaBAbbAbbb", "aaaabABABBBaBaBaBaBB"}, {"aaaaabaBBBBAbbababab", "aaaababababaabbbbABB", "aaaabaBaBaBaBAbAbbbb"}, {"aaaaabaBBBBABabababb", "aaaabaBaBaBaBBabbbAb", "aaaabaBBBABaBaBaBaBB"}, {"aaaaabaBBBBABababbab", "aaaabaBaBaBaBBabbAbb", "aaaabaBBABBaBaBaBaBB"}, {"aaaaabaBBBBABabbabab", "aaaabaBaBaBaBBabAbbb", "aaaabaBABBBaBaBaBaBB"}, {"aaaaabaBBBBABAbababb", "aaaabaBaBaBaBBAbbbAb", "aaaabbABBABaBaBaBaBB"}, {"aaaaabaBBBBABAbabbab", "aaaabaBaBaBaBBAbbAbb", "aaaabbABABBaBaBaBaBB"}, {"aaaaabaBBBBABAbbabab", "aaaabaBaBaBaBBAbAbbb", "aaaabbAABBBaBaBaBaBB"}, {"aaaaabaBBBBABABababb", "aaaabaBaBaBaBBBabbAb", "aaaabbaBBABaBaBaBaBB"}, {"aaaaabaBBBBABABabbab", "aaaabaBaBaBaBBBabAbb", "aaaabbaBABBaBaBaBaBB"}, {"aaaaabaBBBBABABAbabb", "aaaabaBaBaBaBBBAbbAb", "aaaabbbABABaBaBaBaBB"}, {"aaaaabaBBBBABABAbbab", "aaaabaBaBaBaBBBAbAbb", "aaaabbbAABBaBaBaBaBB"}, {"aaaaabaBBBBABABABabb", "aaaabaBaBaBaBBBBabAb", "aaaabbbaBABaBaBaBaBB"}, {"aaaaabaBBBBABABABAbb", "aaaabaBaBaBaBBBBAbAb", "aaaabbbbAABaBaBaBaBB"}, {"aaaaabaBBBBABABABBab", "aaaababAbbbbAbababab", "aaaabbbaaBBaBaBaBaBB"}, {"aaaaabaBBBBABABABBAb", "aaaabaBaBaBaBBBBaBAb", "aaaabbbabABaBaBaBaBB"}, {"aaaaabaBBBBABABBabab", "aaaabaBaBaBaBBBaBabb", "aaaabbaaBBBaBaBaBaBB"}, {"aaaaabaBBBBABABBAbab", "aaaabaBaBaBaBBBaBAbb", "aaaabbabABBaBaBaBaBB"}, {"aaaaabaBBBBABABBABab", "aaaabaBaBaBaBBBaBBab", "aaaabbabaBBaBaBaBaBB"}, {"aaaaabaBBBBABABBABAb", "aaaabaBaBaBaBBBaBBAb", "aaaabbabbABaBaBaBaBB"}, {"aaaaabaBBBBABBababab", "aaaabaaBBBBaBaBaBaBB", "aaaabaBaBaBaBBaBabbb"}, {"aaaaabaBBBBABBAbabab", "aaaababABBBaBaBaBaBB", "aaaabaBaBaBaBBaBAbbb"}, {"aaaaabaBBBBABBABabab", "aaaababaBBBaBaBaBaBB", "aaaabaBaBaBaBBaBBabb"}, {"aaaaabaBBBBABBABAbab", "aaaababbABBaBaBaBaBB", "aaaabaBaBaBaBBaBBAbb"}, {"aaaaabaBBBBABBABABab", "aaaababbaBBaBaBaBaBB", "aaaabaBaBaBaBBaBBBab"}, {"aaaaabaBBBBABBABABAb", "aaaababbbABaBaBaBaBB", "aaaabaBaBaBaBBaBBBAb"}, {"aaaaabaBBBBBAbababab", "aaaaabABBBBaBaBaBaBB", "aaaabaBaBaBaBaBAbbbb"}, {"aaaaabbaababababbbbb", "aaaababababaBBBBabaB", "aaaabbbbaBaBaBaBabaB"}, {"aaaaabbaabababbabbbb", "aaaabAbabbbAbbAbAbAb", "aaababbbaBaBaBaBabaB"}, {"aaaaabbaabababbbabbb", "aaaabAbabbbAbAbbAbAb", "aaabbabbaBaBaBaBabaB"}, {"aaaaabbaabababbbbabb", "aaaabAbabbbAbAbAbbAb", "aaababAbAbAbAbabAbbb"}, {"aaaaabbaababbababbbb", "aaaabAbabbAbbbAbAbAb", "aaabAbAbAbAbabAbbabb"}, {"aaaaabbaababbabbabbb", "aaaabAbabbAbbAbbAbAb", "aabababbaBaBaBaBabaB"}, {"aaaaabbaababbabbbabb", "aaaabAbabbAbbAbAbbAb", "aababbabaBaBaBaBabaB"}, {"aaaaabbaababbabbbbab", "aaaabAbabbAbbAbAbAbb", "aaabbAbAbAbAbabAbbab"}, {"aaaaabbaababbbababbb", "aaaabAbabbAbAbbbAbAb", "aabbaabbaBaBaBaBabaB"}, {"aaaaabbaababbbabbabb", "aaaabAbabbAbAbbAbbAb", "aabababAbAbAbAbabAbb"}, {"aaaaabbaababbbabbbab", "aaaabAbabbAbAbbAbAbb", "aabaabbAbAbAbAbabAbb"}, {"aaaaabbaababbbbababb", "aaaabAbabbAbAbAbbbAb", "aaabbabAbAbAbAbabAbb"}, {"aaaaabbaababbbbabbab", "aaaabAbabbAbAbAbbAbb", "aaababbAbAbAbAbabAbb"}, {"aaaaabbaabbabababbbb", "aaaabababaBBBBabaBab", "aaabbbaBaBaBaBabaBab"}, {"aaaaabbaabbababbabbb", "aaaabAbabAbbbAbbAbAb", "aababbaBaBaBaBabaBab"}, {"aaaaabbaabbababbbabb", "aaaabAbabAbbbAbAbbAb", "aababAbAbAbAbabAbabb"}, {"aaaaabbaabbababbbbab", "aaaabAbabAbbbAbAbAbb", "aaabbAbAbAbAbabAbabb"}, {"aaaaabbaabbabbababbb", "aaaabAbabAbbAbbbAbAb", "aabbaBaBaBaBabaBabab"}, {"aaaaabbaabbabbabbbab", "aaaabAbabAbbAbbAbAbb", "aababababaBabaBaBaBB"}, {"aaaaabbaabbabbbababb", "aaaabAbabAbbAbAbbbAb", "aabaBaBaBaBabaBababb"}, {"aaaaabbaabbabbbabbab", "aaaabAbabAbbAbAbbAbb", "aababababaBabaBaBBaB"}, {"aaaaabbaabbabbbbabab", "aaaabAbabAbbAbAbAbbb", "aaababababaBabaBaBBB"}, {"aaaaabbaabbbabababbb", "aaaababaBBBBabaBabab", "aaabbaBaBaBaBabaBabb"}, {"aaaaabbaabbbababbabb", "aaaabAbabAbAbbbAbbAb", "aababaBaBaBaBabaBabb"}, {"aaaaabbaabbbababbbab", "aaaabAbabAbAbbbAbAbb", "aababababaBabaBBaaBB"}, {"aaaaabbaabbbabbababb", "aaaabAbabAbAbbAbbbAb", "aababbabAbAbAbAbabAb"}, {"aaaaabbaabbbabbabbab", "aaaabAbabAbAbbAbbAbb", "aababababaBabaBBaBaB"}, {"aaaaabbaabbbabbbabab", "aaaabAbabAbAbbAbAbbb", "aaababababaBabaBBaBB"}, {"aaaaabbaabbbbabababb", "aaaabaBBBBabaBababab", "aaabaBaBaBaBabaBabbb"}, {"aaaaabbaabbbbababbab", "aaaabAbabAbAbAbbbAbb", "aaabbabbAbAbAbAbabAb"}, {"aaaaabbaabbbbabbabab", "aaaabAbabAbAbAbbAbbb", "aaababababaBabaBBBaB"}, {"aaaaabbabaabababbbbb", "aaaabAbbabbbAbAbAbAb", "aaaabAbAbAbAbabbAbbb"}, {"aaaaabbabaababbabbbb", "aaaabAbbabbAbbAbAbAb", "aaabAbAbAbAbabbAbbab"}, {"aaaaabbabaababbbabbb", "aaaabAbbabbAbAbbAbAb", "aabaabAbAbAbAbabbAbb"}, {"aaaaabbabaababbbbabb", "aaaabAbbabbAbAbAbbAb", "aaababAbAbAbAbabbAbb"}, {"aaaaabbabaabbababbbb", "aaaabAbbabAbbbAbAbAb", "aaabAbAbAbAbabbAbabb"}, {"aaaaabbabaabbabbabbb", "aaaabAbbabAbbAbbAbAb", "aabaBaBaBBababababaB"}, {"aaaaabbabaabbabbbabb", "aaaabAbbabAbbAbAbbAb", "aababAbAbAbAbabbAbab"}, {"aaaaabbabaabbabbbbab", "aaaabAbbabAbbAbAbAbb", "aaabbAbAbAbAbabbAbab"}, {"aaaaabbabaabbbababbb", "aaaabAbbabAbAbbbAbAb", "aabaBBaaBBababababaB"}, {"aaaaabbabaabbbabbabb", "aaaabAbbabAbAbbAbbAb", "aabababAbAbAbAbabbAb"}, {"aaaaabbabaabbbabbbab", "aaaabAbbabAbAbbAbAbb", "aabaabbAbAbAbAbabbAb"}, {"aaaaabbabaabbbbababb", "aaaabAbbabAbAbAbbbAb", "aaabbabAbAbAbAbabbAb"}, {"aaaaabbabaabbbbabbab", "aaaabAbbabAbAbAbbAbb", "aaababbAbAbAbAbabbAb"}, {"aaaaabbababaababbbbb", "aaaabAbbbabbAbAbAbAb", "aaaabAbAbAbAbabbbAbb"}, {"aaaaabbababaabbabbbb", "aaaabAbbbabAbbAbAbAb", "aaabaBaBBBababababaB"}, {"aaaaabbababaabbbabbb", "aaaabAbbbabAbAbbAbAb", "aaabaBBaBBababababaB"}, {"aaaaabbababaabbbbabb", "aaaabAbbbabAbAbAbbAb", "aaababAbAbAbAbabbbAb"}, {"aaaaabbabababaabbbbb", "aaaabaBaBaBaBabbbbaB", "aaaabaBBBBababababaB"}, {"aaaaabbababababAbbbb", "aaaaabbabababaBBBBab", "aaaabAbbbbaBaBaBaBab"}, {"aaaaabbababababABBBB", "aaaaabAbbbbbABaBaBaB", "aaaabababababAbbbbAB"}, {"aaaaabbabababaBabbbb", "aaaabbaBBBababababaB", "aaaabAbaBaBaBabbbbaB"}, {"aaaaabbabababaBAbbbb", "aaaabAbbbbaBAbAbAbAb", "aaaabAbAbAbAbabbbbAB"}, {"aaaaabbabababaBABBBB", "aaaaabAbbbbaBBaBaBaB", "aaaabababababAbbbbaB"}, {"aaaaabbabababaBBabbb", "aaaabbbaBBababababaB", "aaaabAbbbbaBaBabAbAb"}, {"aaaaabbabababaBBAbbb", "aaaabbABBBababababaB", "aaaabAbbbbaBaBAbAbAb"}, {"aaaaabbabababaBBABBB", "aaaaabAbbbbaBaBBaBaB", "aaaabbAbbbababababaB"}, {"aaaaabbabababaBBBabb", "aaaabbbbaBababababaB", "aaaabAbbbbaBaBaBabAb"}, {"aaaaabbabababaBBBAbb", "aaaabbbABBababababaB", "aaaabAbbbbaBaBaBAbAb"}, {"aaaaabbabababaBBBABB", "aaaaabAbbbbaBaBaBBaB", "aaaabbbAbbababababaB"}, {"aaaaabbabababaBBBBAb", "aaaabbbbABababababaB", "aaaabAbbbbaBaBaBaBAb"}, {"aaaaabbabababaBBBBAB", "aaaaabAbbbbaBaBaBaBB", "aaaabaBaBaBaBaBABBBB"}, {"aaaaabbabababbaabbbb", "aaaabaBabababaBBBBab", "aaabaBabbbaBaBaBaBab"}, {"aaaaabbabababbabaBBB", "aaaaabAbbbbAbbaBaBaB", "aaaabababababAbbbAbb"}, {"aaaaabbabababbabbaBB", "aaaaabAbbbbAbbAbaBaB", "aaabababababAbbbAbAb"}, {"aaaaabbabababbabbbaB", "aaaaabAbbbbAbbAbAbaB", "aaababbaBBaBaBaBaBab"}, {"aaaaabbabababbabbbAb", "aaaabaabababbaBBBBab", "aaababbbAbaBaBaBaBab"}, {"aaaaabbabababbabbbAB", "aaaaabAbbbbAbbAbAbAB", "aaababbbABaBaBaBaBab"}, {"aaaaabbabababbabbAbb", "aaaabaababbabaBBBBab", "aaababbAbbaBaBaBaBab"}, {"aaaaabbabababbabbABB", "aaaaabAbbbbAbbAbABaB", "aaababbABBaBaBaBaBab"}, {"aaaaabbabababbabAbbb", "aaaabaabbababaBBBBab", "aaababAbbbaBaBaBaBab"}, {"aaaaabbabababbabABBB", "aaaaabAbbbbAbbABaBaB", "aaabababababAbbbAbAB"}, {"aaaaabbabababbaBabbb", "aaaabaBABababaBBBBab", "aaabaBBabbaBaBaBaBab"}, {"aaaaabbabababbaBAbbb", "aaaabaBAbababaBBBBab", "aaabaBAbbbaBaBaBaBab"}, {"aaaaabbabababbaBABBB", "aaaaabAbbbbAbaBBaBaB", "aaabababababAbbbAbaB"}, {"aaaaabbabababbaBBabb", "aaaabaBABABabaBBBBab", "aaabaBBBabaBaBaBaBab"}, {"aaaaabbabababbaBBAbb", "aaaabaBABAbabaBBBBab", "aaabaBBAbbaBaBaBaBab"}, {"aaaaabbabababbaBBABB", "aaaaabAbbbbAbaBaBBaB", "aaabaBBABBaBaBaBaBab"}, {"aaaaabbabababbaBBBab", "aaaabaBABABABaBBBBab", "aaaabbababababAbbbAb"}, {"aaaaabbabababbaBBBAb", "aaaabaBABABAbaBBBBab", "aaabaBBBAbaBaBaBaBab"}, {"aaaaabbabababbaBBBAB", "aaaaabAbbbbAbaBaBaBB", "aaabaBaBaBaBaBABBBAB"}, {"aaaaabbabababbbaabbb", "aaaababaBababaBBBBab", "aaabbaBabbaBaBaBaBab"}, {"aaaaabbabababbbabaBB", "aaaaabAbbbbAbAbbaBaB", "aaabababababAbbbAAbb"}, {"aaaaabbabababbbabbaB", "aaaaabAbbbbAbAbbAbaB", "aaabbabaBBaBaBaBaBab"}, {"aaaaabbabababbbabbAb", "aaaababaababbaBBBBab", "aaabbabbAbaBaBaBaBab"}, {"aaaaabbabababbbabbAB", "aaaaabAbbbbAbAbbAbAB", "aaabbabbABaBaBaBaBab"}, {"aaaaabbabababbbabAbb", "aaaababaabbabaBBBBab", "aaabbabAbbaBaBaBaBab"}, {"aaaaabbabababbbabABB", "aaaaabAbbbbAbAbbABaB", "aaabbabABBaBaBaBaBab"}, {"aaaaabbabababbbaBabb", "aaaababaBABabaBBBBab", "aaabbaBBabaBaBaBaBab"}, {"aaaaabbabababbbaBAbb", "aaaababaBAbabaBBBBab", "aaabbaBAbbaBaBaBaBab"}, {"aaaaabbabababbbaBABB", "aaaaabAbbbbAbAbaBBaB", "aaabbaBABBaBaBaBaBab"}, {"aaaaabbabababbbaBBab", "aaaababaBABABaBBBBab", "aaabbababababAbbbAAb"}, {"aaaaabbabababbbaBBAb", "aaaababaBABAbaBBBBab", "aaabbaBBAbaBaBaBaBab"}, {"aaaaabbabababbbaBBAB", "aaaaabAbbbbAbAbaBaBB", "aaabbaBBABaBaBaBaBab"}, {"aaaaabbabababbbbaabb", "aaaabababaBabaBBBBab", "aaabbbaBabaBaBaBaBab"}, {"aaaaabbabababbbbabaB", "aaaaabAbbbbAbAbAbbaB", "aaabbbaaBBaBaBaBaBab"}, {"aaaaabbabababbbbabAb", "aaaabababaabbaBBBBab", "aaabaBabAbAbAbAbabbb"}, {"aaaaabbabababbbbabAB", "aaaaabAbbbbAbAbAbbAB", "aaabaBAbAbAbAbAbabbb"}, {"aaaaabbabababbbbaBab", "aaaabababaBABaBBBBab", "aaabbbaBBaaBaBaBaBab"}, {"aaaaabbabababbbbaBAb", "aaaabababaBAbaBBBBab", "aaabbbaBAbaBaBaBaBab"}, {"aaaaabbabababbbbaBAB", "aaaaabAbbbbAbAbAbaBB", "aaabbbaBABaBaBaBaBab"}, {"aaaaabbabababbbbbaab", "aaaababababaBaBBBBab", "aaaabAbbAbAbAbAbabbb"}, {"aaaaabbabababbbbAbab", "aaaababababbaaBBBBab", "aaaabaBBABABABABaBBB"}, {"aaaaabbabababbbbABab", "aaaababababABaBBBBab", "aaaabABBABABABABaBBB"}, {"aaaaabbabababbbbABAb", "aaaababababAbaBBBBab", "aaaabbaBABABABABaBBB"}, {"aaaaabbabababbbbABAB", "aaaaabAbbbbAbAbAbABB", "aaaabbABABABABABaBBB"}, {"aaaaabbabababbbAbabb", "aaaabababbaabaBBBBab", "aaabaBaBABABABABaBBB"}, {"aaaaabbabababbbAbbab", "aaaabababbabaaBBBBab", "aaabaaBBABABABABaBBB"}, {"aaaaabbabababbbABabb", "aaaabababABabaBBBBab", "aaabbbABabaBaBaBaBab"}, {"aaaaabbabababbbABAbb", "aaaabababAbabaBBBBab", "aaabbaaBABABABABaBBB"}, {"aaaaabbabababbbABABB", "aaaaabAbbbbAbAbABBaB", "aaabbbAABBaBaBaBaBab"}, {"aaaaabbabababbbABBab", "aaaabababABABaBBBBab", "aaabbbABBaaBaBaBaBab"}, {"aaaaabbabababbbABBAb", "aaaabababABAbaBBBBab", "aaabbbABAbaBaBaBaBab"}, {"aaaaabbabababbbABBAB", "aaaaabAbbbbAbAbABaBB", "aaabbbABABaBaBaBaBab"}, {"aaaaabbabababbAbabbb", "aaaababbaababaBBBBab", "aaabbAbabbaBaBaBaBab"}, {"aaaaabbabababbAbbabb", "aaaababbabaabaBBBBab", "aaabbAbbabaBaBaBaBab"}, {"aaaaabbabababbAbbbab", "aaaababbababaaBBBBab", "aaabbAbbbaaBaBaBaBab"}, {"aaaaabbabababbABabbb", "aaaababABababaBBBBab", "aaabbABabbaBaBaBaBab"}, {"aaaaabbabababbABAbbb", "aaaababAbababaBBBBab", "aaabbAAbbbaBaBaBaBab"}, {"aaaaabbabababbABABBB", "aaaaabAbbbbAbABBaBaB", "aaabababababAbbbAABB"}, {"aaaaabbabababbABBabb", "aaaababABABabaBBBBab", "aaabbABBabaBaBaBaBab"}, {"aaaaabbabababbABBAbb", "aaaababABAbabaBBBBab", "aaabbABAbbaBaBaBaBab"}, {"aaaaabbabababbABBABB", "aaaaabAbbbbAbABaBBaB", "aaabbABABBaBaBaBaBab"}, {"aaaaabbabababbABBBab", "aaaababABABABaBBBBab", "aaabbababababAbbbAAB"}, {"aaaaabbabababbABBBAb", "aaaababABABAbaBBBBab", "aaabbABBAbaBaBaBaBab"}, {"aaaaabbabababbABBBAB", "aaaaabAbbbbAbABaBaBB", "aaabbABBABaBaBaBaBab"}, {"aaaaabbabababAbabbbb", "aaaabbaabababaBBBBab", "aaabAbabbbaBaBaBaBab"}, {"aaaaabbabababAbbabbb", "aaaabbabaababaBBBBab", "aaabAbbabbaBaBaBaBab"}, {"aaaaabbabababAbbbabb", "aaaabbababaabaBBBBab", "aaababAbAbAbAbabbbaB"}, {"aaaaabbabababAbbbbab", "aaaabbabababaaBBBBab", "aaaabbAbAbAbAbabbbaB"}, {"aaaaabbabababABabbbb", "aaaabAbbbbABabAbAbAb", "aaabAbAbAbAbabbbaBAb"}, {"aaaaabbabababABAbbbb", "aaaabAbabababaBBBBab", "aaaabAbAbAbAbabbbaBB"}, {"aaaaabbabababABABBBB", "aaaaabAbbbbABBaBaBaB", "aaaabababababAbbbABB"}, {"aaaaabbabababABBabbb", "aaaabAbbbbABaBabAbAb", "aaabABBabbaBaBaBaBab"}, {"aaaaabbabababABBAbbb", "aaaabAbbbbABaBAbAbAb", "aaabAbAbAbAbabbbaBAB"}, {"aaaaabbabababABBABBB", "aaaaabAbbbbABaBBaBaB", "aaabababababAbbbABaB"}, {"aaaaabbabababABBBabb", "aaaabAbbbbABaBaBabAb", "aaabAbababababAbbbAB"}, {"aaaaabbabababABBBAbb", "aaaabAbbbbABaBaBAbAb", "aaabABBAbbaBaBaBaBab"}, {"aaaaabbabababABBBABB", "aaaaabAbbbbABaBaBBaB", "aaabABBABBaBaBaBaBab"}, {"aaaaabbabababABBBBab", "aaaabbababababAbbbAB", "aaaabAbbbbABaBaBaBab"}, {"aaaaabbabababABBBBAb", "aaaabAbbbbABaBaBaBAb", "aaabABaBaBaBaBABBBAb"}, {"aaaaabbabababABBBBAB", "aaaaabAbbbbABaBaBaBB", "aaabaBaBaBaBaBABBBAb"}, {"aaaaabbababaBababbbb", "aaaabAbbbaBabbAbAbAb", "aaabbaaBBBababababaB"}, {"aaaaabbababaBabbabbb", "aaaabAbbbaBabAbbAbAb", "aaabbaBaBBababababaB"}, {"aaaaabbababaBabbbabb", "aaaabAbbbaBabAbAbbAb", "aaabbaBBaBababababaB"}, {"aaaaabbababaBabbbbab", "aaaabAbbbaBabAbAbAbb", "aaabbaBBBaababababaB"}, {"aaaaabbababaBAbabbbb", "aaaabAbbbaBAbbAbAbAb", "aaabAbAbAbAbabbbABab"}, {"aaaaabbababaBAbbabbb", "aaaabAbbbaBAbAbbAbAb", "aaabABBaBBababababaB"}, {"aaaaabbababaBAbbbabb", "aaaabAbbbaBAbAbAbbAb", "aaababAbAbAbAbabbbAB"}, {"aaaaabbababaBAbbbbab", "aaaabbAbAbAbAbabbbAB", "aaaabAbbbaBAbAbAbAbb"}, {"aaaaabbababaBABabbbb", "aaaabAbbbaBBabAbAbAb", "aaabAbaBBBababababaB"}, {"aaaaabbababaBABAbbbb", "aaaabAbbbaBBAbAbAbAb", "aaaabAbAbAbAbabbbABB"}, {"aaaaabbababaBABABBBB", "aaaaabAbbbaBBBaBaBaB", "aaaabababababAbbbaBB"}, {"aaaaabbababaBABBabbb", "aaaabAbbbaBBaBabAbAb", "aaabAbbaBBababababaB"}, {"aaaaabbababaBABBAbbb", "aaaabAbbbaBBaBAbAbAb", "aaabAbAbAbAbabbbABAB"}, {"aaaaabbababaBABBABBB", "aaaaabAbbbaBBaBBaBaB", "aaabababababAbbbaBaB"}, {"aaaaabbababaBABBBabb", "aaaabAbbbaBBaBaBabAb", "aaabAbababababAbbbaB"}, {"aaaaabbababaBABBBAbb", "aaaabAbbbaBBaBaBAbAb", "aaabAbbABBababababaB"}, {"aaaaabbababaBABBBABB", "aaaaabAbbbaBBaBaBBaB", "aaabAbbAbbababababaB"}, {"aaaaabbababaBABBBBab", "aaaabbababababAbbbaB", "aaaabAbbbaBBaBaBaBab"}, {"aaaaabbababaBABBBBAb", "aaaabAbbbaBBaBaBaBAb", "aaabAbbbABababababaB"}, {"aaaaabbababaBABBBBAB", "aaaaabAbbbaBBaBaBaBB", "aaabaBaBaBaBaBABBBab"}, {"aaaaabbababaBBababbb", "aaaabAbbbaBaBabbAbAb", "aaabbbaaBBababababaB"}, {"aaaaabbababaBBabbabb", "aaaabAbbbaBaBabAbbAb", "aaabbbaBaBababababaB"}, {"aaaaabbababaBBabbbab", "aaaabAbbbaBaBabAbAbb", "aaabbbaBBaababababaB"}, {"aaaaabbababaBBAbabbb", "aaaabAbbbaBaBAbbAbAb", "aaabbABaBBababababaB"}, {"aaaaabbababaBBAbbabb", "aaaabAbbbaBaBAbAbbAb", "aaabbABBaBababababaB"}, {"aaaaabbababaBBAbbbab", "aaaabAbbbaBaBAbAbAbb", "aaabbAbAbAbAbabbbAAB"}, {"aaaaabbababaBBABabbb", "aaaabAbbbaBaBBabAbAb", "aaabbAbaBBababababaB"}, {"aaaaabbababaBBABAbbb", "aaaabAbbbaBaBBAbAbAb", "aaabbAABBBababababaB"}, {"aaaaabbababaBBABABBB", "aaaaabAbbbaBaBBBaBaB", "aaabababababAbbbaaBB"}, {"aaaaabbababaBBABBabb", "aaaabAbbbaBaBBaBabAb", "aaabbAbbaBababababaB"}, {"aaaaabbababaBBABBAbb", "aaaabAbbbaBaBBaBAbAb", "aaabbAbABBababababaB"}, {"aaaaabbababaBBABBABB", "aaaaabAbbbaBaBBaBBaB", "aaabbAbAbbababababaB"}, {"aaaaabbababaBBABBBab", "aaaabAbbbaBaBBaBaBab", "aaabbababababAbbbaaB"}, {"aaaaabbababaBBABBBAb", "aaaabAbbbaBaBBaBaBAb", "aaabbAbbABababababaB"}, {"aaaaabbababaBBABBBAB", "aaaaabAbbbaBaBBaBaBB", "aaabbAbbAbababababaB"}, {"aaaaabbababaBBBababb", "aaaabbAbababababAbbb", "aaaabAbbbaBaBaBabbAb"}, {"aaaaabbababaBBBabbab", "aaaabAbbababababAbbb", "aaaabAbbbaBaBaBabAbb"}, {"aaaaabbababaBBBAbabb", "aaaabAbbbaBaBaBAbbAb", "aaabbbABaBababababaB"}, {"aaaaabbababaBBBAbbab", "aaaabAbbbaBaBaBAbAbb", "aaabbbABBaababababaB"}, {"aaaaabbababaBBBABabb", "aaaabAbbbaBaBaBBabAb", "aaabaBABaBaBaBaBABBB"}, {"aaaaabbababaBBBABAbb", "aaaabAbbbaBaBaBBAbAb", "aaabbbAABBababababaB"}, {"aaaaabbababaBBBABABB", "aaaaabAbbbaBaBaBBBaB", "aaabbaaBaBaBaBaBABBB"}, {"aaaaabbababaBBBABBab", "aaaabAbbbaBaBaBBaBab", "aaabaaBBaBaBaBaBABBB"}, {"aaaaabbababaBBBABBAb", "aaaabAbbbaBaBaBBaBAb", "aaababABaBaBaBaBABBB"}, {"aaaaabbababaBBBABBAB", "aaaaabAbbbaBaBaBBaBB", "aaababaBaBaBaBaBABBB"}, {"aaaaabbababaBBBBabab", "aaaaabbbababababAbbb", "aaaabAbbbaBaBaBaBabb"}, {"aaaaabbababaBBBBAbab", "aaaabAbbbaBaBaBaBAbb", "aaaabABBaBaBaBaBABBB"}, {"aaaaabbababaBBBBABab", "aaaabaBBaBaBaBaBABBB", "aaaabAbbbaBaBaBaBBab"}, {"aaaaabbababaBBBBABAb", "aaaabbABaBaBaBaBABBB", "aaaabAbbbaBaBaBaBBAb"}, {"aaaaabbababaBBBBABAB", "aaaaabAbbbaBaBaBaBBB", "aaaabbaBaBaBaBaBABBB"}, {"aaaaabbababbaababbbb", "aaaabAbbbAbabbAbAbAb", "aaabAbAbAbAbabbabAbb"}, {"aaaaabbababbaabbabbb", "aaaabAbbbAbabAbbAbAb", "aabaBababbaBaBaBaBab"}, {"aaaaabbababbaabbbabb", "aaaabAbbbAbabAbAbbAb", "aababAbAbAbAbabbabAb"}, {"aaaaabbababbaabbbbab", "aaaabAbbbAbabAbAbAbb", "aaabbAbAbAbAbabbabAb"}, {"aaaaabbababbabaabbbb", "aaaabAbbbAbbabAbAbAb", "aaabAbAbAbAbabbabbAb"}, {"aaaaabbababbababaBBB", "aaaaabAbbbAbbbaBaBaB", "aaaabababababAbbAbbb"}, {"aaaaabbababbababbaBB", "aaaaabAbbbAbbbAbaBaB", "aaabababababAbbAbbAb"}, {"aaaaabbababbababbbaB", "aaaaabAbbbAbbbAbAbaB", "aabaabbaBBaBaBaBaBab"}, {"aaaaabbababbababbbAb", "aaaabAbbbAbbbAbAbAAb", "aaabaBABABABABaBBaBB"}, {"aaaaabbababbababbbAB", "aaaaabAbbbAbbbAbAbAB", "aaabABABABABABaBBaBB"}, {"aaaaabbababbababbAbb", "aaaabAbbbAbbbAbAAbAb", "aabaabbAbbaBaBaBaBab"}, {"aaaaabbababbababbABB", "aaaaabAbbbAbbbAbABaB", "aabaabbABBaBaBaBaBab"}, {"aaaaabbababbababAbbb", "aaaabAbbbAbbbAAbAbAb", "aaabAbAbAbAbabbabbaB"}, {"aaaaabbababbababABBB", "aaaaabAbbbAbbbABaBaB", "aaabababababAbbAbbAB"}, {"aaaaabbababbabaBabbb", "aaaabAbbbAbbaBabAbAb", "aabaaBBabbaBaBaBaBab"}, {"aaaaabbababbabaBAbbb", "aaaabAbbbAbbaBAbAbAb", "aaabAbAbAbAbabbabbAB"}, {"aaaaabbababbabaBABBB", "aaaaabAbbbAbbaBBaBaB", "aaabababababAbbAbbaB"}, {"aaaaabbababbabaBBabb", "aaaabAbbbAbbaBaBabAb", "aaabAbababababAbbAbb"}, {"aaaaabbababbabaBBAbb", "aaaabAbbbAbbaBaBAbAb", "aabaaBBAbbaBaBaBaBab"}, {"aaaaabbababbabaBBABB", "aaaaabAbbbAbbaBaBBaB", "aabaaBaBaBaBaBABBABB"}, {"aaaaabbababbabaBBBab", "aaaabbababababAbbAbb", "aaaabAbbbAbbaBaBaBab"}, {"aaaaabbababbabaBBBAb", "aaaabAbbbAbbaBaBaBAb", "aaabABaBaBaBaBABBABB"}, {"aaaaabbababbabaBBBAB", "aaaaabAbbbAbbaBaBaBB", "aaabaBaBaBaBaBABBABB"}, {"aaaaabbababbabbaabbb", "aaaabAbbbAbbAbabAbAb", "aababaBabbaBaBaBaBab"}, {"aaaaabbababbabbabaBB", "aaaaabAbbbAbbAbbaBaB", "aaabababababAbbAbAbb"}, {"aaaaabbababbabbabbaB", "aaaaabAbbbAbbAbbAbaB", "aabababababAbbAbAbAb"}, {"aaaaabbababbabbabbAb", "aaaabAbbbAbbAbbAbAAb", "aabababbAbaBaBaBaBab"}, {"aaaaabbababbabbabbAB", "aaaaabAbbbAbbAbbAbAB", "aabababbABaBaBaBaBab"}, {"aaaaabbababbabbabAbb", "aaaabAbbbAbbAbbAAbAb", "aabababAbbaBaBaBaBab"}, {"aaaaabbababbabbabABB", "aaaaabAbbbAbbAbbABaB", "aabababababAbbAbAbAB"}, {"aaaaabbababbabbaBabb", "aaaabAbbbAbbAbaBabAb", "aababaBBabaBaBaBaBab"}, {"aaaaabbababbabbaBAbb", "aaaabAbbbAbbAbaBAbAb", "aababaBAbbaBaBaBaBab"}, {"aaaaabbababbabbaBABB", "aaaaabAbbbAbbAbaBBaB", "aabababababAbbAbAbaB"}, {"aaaaabbababbabbaBBab", "aaaabAbbbAbbAbaBaBab", "aaabbababababAbbAbAb"}, {"aaaaabbababbabbaBBAb", "aaaabAbbbAbbAbaBaBAb", "aababaBBAbaBaBaBaBab"}, {"aaaaabbababbabbaBBAB", "aaaaabAbbbAbbAbaBaBB", "aababaBBABaBaBaBaBab"}, {"aaaaabbababbabbbaabb", "aaaabAbbbAbbAbAbabAb", "aababbaBabaBaBaBaBab"}, {"aaaaabbababbabbbabaB", "aaaaabAbbbAbbAbAbbaB", "aabababababAbbAbAAbb"}, {"aaaaabbababbabbbabAb", "aaaabAbbbAbbAbAbbAAb", "aababbabAbaBaBaBaBab"}, {"aaaaabbababbabbbabAB", "aaaaabAbbbAbbAbAbbAB", "aababbabABaBaBaBaBab"}, {"aaaaabbababbabbbaBab", "aaaabAbbbAbbAbAbaBab", "aababababaBaaBaBBabb"}, {"aaaaabbababbabbbaBAb", "aaaabAbbbAbbAbAbaBAb", "aababbaBAbaBaBaBaBab"}, {"aaaaabbababbabbbaBAB", "aaaaabAbbbAbbAbAbaBB", "aababbaBABaBaBaBaBab"}, {"aaaaabbababbabbbbaab", "aaaabAbbbAbbAbAbAbab", "aaabAbbAbAbAbAbabbab"}, {"aaaaabbababbabbbAbab", "aaaabAbbbAbbAbAbAAbb", "aaabaBBABABABABaBBaB"}, {"aaaaabbababbabbbABab", "aaaabAbbbAbbAbAbABab", "aaabABBABABABABaBBaB"}, {"aaaaabbababbabbbABAb", "aaaabAbbbAbbAbAbABAb", "aaabbaBABABABABaBBaB"}, {"aaaaabbababbabbbABAB", "aaaaabAbbbAbbAbAbABB", "aaabbABABABABABaBBaB"}, {"aaaaabbababbabbAbabb", "aaaabAbbbAbbAbAAbbAb", "aababbAbabaBaBaBaBab"}, {"aaaaabbababbabbAbbab", "aaaabAbbbAbbAbAAbAbb", "aabaaBBABABABABaBBaB"}, {"aaaaabbababbabbABabb", "aaaabAbbbAbbAbABabAb", "aababbABabaBaBaBaBab"}, {"aaaaabbababbabbABAbb", "aaaabAbbbAbbAbABAbAb", "aababbAAbbaBaBaBaBab"}, {"aaaaabbababbabbABABB", "aaaaabAbbbAbbAbABBaB", "aabababababAbbAbAABB"}, {"aaaaabbababbabbABBab", "aaaabAbbbAbbAbABaBab", "aababababaBaaBaBBAbb"}, {"aaaaabbababbabbABBAb", "aaaabAbbbAbbAbABaBAb", "aababbABAbaBaBaBaBab"}, {"aaaaabbababbabbABBAB", "aaaaabAbbbAbbAbABaBB", "aababbABABaBaBaBaBab"}, {"aaaaabbababbabAbabbb", "aaaabAbbbAbbAAbbAbAb", "aababAbabbaBaBaBaBab"}, {"aaaaabbababbabAbbabb", "aaaabAbbbAbbAAbAbbAb", "aababAbbabaBaBaBaBab"}, {"aaaaabbababbabAbbbab", "aaaabAbbbAbbAAbAbAbb", "aaabbAbAbAbAbabbabaB"}, {"aaaaabbababbabABabbb", "aaaabAbbbAbbABabAbAb", "aababABabbaBaBaBaBab"}, {"aaaaabbababbabABAbbb", "aaaabAbbbAbbABAbAbAb", "aaabAbAbAbAbabbabaBB"}, {"aaaaabbababbabABABBB", "aaaaabAbbbAbbABBaBaB", "aaabababababAbbAbABB"}, {"aaaaabbababbabABBabb", "aaaabAbbbAbbABaBabAb", "aababABBabaBaBaBaBab"}, {"aaaaabbababbabABBAbb", "aaaabAbbbAbbABaBAbAb", "aababABAbbaBaBaBaBab"}, {"aaaaabbababbabABBABB", "aaaaabAbbbAbbABaBBaB", "aabababababAbbAbABaB"}, {"aaaaabbababbabABBBab", "aaaabAbbbAbbABaBaBab", "aaabbababababAbbAbAB"}, {"aaaaabbababbabABBBAb", "aaaabAbbbAbbABaBaBAb", "aababABBAbaBaBaBaBab"}, {"aaaaabbababbabABBBAB", "aaaaabAbbbAbbABaBaBB", "aababABBABaBaBaBaBab"}, {"aaaaabbababbaBababbb", "aaaabAbbbAbaBabbAbAb", "aabaBBaabbaBaBaBaBab"}, {"aaaaabbababbaBabbabb", "aaaabAbbbAbaBabAbbAb", "aabaBBababaBaBaBaBab"}, {"aaaaabbababbaBabbbab", "aaaabAbbbAbaBabAbAbb", "aababababaBaaBabbaBB"}, {"aaaaabbababbaBAbabbb", "aaaabAbbbAbaBAbbAbAb", "aabaBAbabbaBaBaBaBab"}, {"aaaaabbababbaBAbbabb", "aaaabAbbbAbaBAbAbbAb", "aababAbAbAbAbabbabAB"}, {"aaaaabbababbaBAbbbab", "aaaabAbbbAbaBAbAbAbb", "aaabbAbAbAbAbabbabAB"}, {"aaaaabbababbaBABabbb", "aaaabAbbbAbaBBabAbAb", "aabaBABabbaBaBaBaBab"}, {"aaaaabbababbaBABAbbb", "aaaabAbbbAbaBBAbAbAb", "aaabAbAbAbAbabbabABB"}, {"aaaaabbababbaBABABBB", "aaaaabAbbbAbaBBBaBaB", "aaabababababAbbAbaBB"}, {"aaaaabbababbaBABBabb", "aaaabAbbbAbaBBaBabAb", "aabaBABBabaBaBaBaBab"}, {"aaaaabbababbaBABBAbb", "aaaabAbbbAbaBBaBAbAb", "aabaBABAbbaBaBaBaBab"}, {"aaaaabbababbaBABBABB", "aaaaabAbbbAbaBBaBBaB", "aabababababAbbAbaBaB"}, {"aaaaabbababbaBABBBab", "aaaabAbbbAbaBBaBaBab", "aaabbababababAbbAbaB"}, {"aaaaabbababbaBABBBAb", "aaaabAbbbAbaBBaBaBAb", "aabaBABBAbaBaBaBaBab"}, {"aaaaabbababbaBABBBAB", "aaaaabAbbbAbaBBaBaBB", "aabaBaBaBaBaBABBABab"}, {"aaaaabbababbaBBababb", "aaaabAbbbAbaBaBabbAb", "aaabbAbababababAbbAb"}, {"aaaaabbababbaBBabbab", "aaaabAbbbAbaBaBabAbb", "aaabAbbababababAbbAb"}, {"aaaaabbababbaBBAbabb", "aaaabAbbbAbaBaBAbbAb", "aabaBBAbabaBaBaBaBab"}, {"aaaaabbababbaBBAbbab", "aaaabAbbbAbaBaBAbAbb", "aababababaBaaBabbABB"}, {"aaaaabbababbaBBABabb", "aaaabAbbbAbaBaBBabAb", "aabaBABaBaBaBaBABBAB"}, {"aaaaabbababbaBBABAbb", "aaaabAbbbAbaBaBBAbAb", "aabaBBAAbbaBaBaBaBab"}, {"aaaaabbababbaBBABABB", "aaaaabAbbbAbaBaBBBaB", "aabababababAbbAbaaBB"}, {"aaaaabbababbaBBABBab", "aaaabAbbbAbaBaBBaBab", "aabaaBBaBaBaBaBABBAB"}, {"aaaaabbababbaBBABBAb", "aaaabAbbbAbaBaBBaBAb", "aababABaBaBaBaBABBAB"}, {"aaaaabbababbaBBABBAB", "aaaaabAbbbAbaBaBBaBB", "aababaBaBaBaBaBABBAB"}, {"aaaaabbababbaBBBabab", "aaaabbbababababAbbAb", "aaaabAbbbAbaBaBaBabb"}, {"aaaaabbababbaBBBAbab", "aaaabAbbbAbaBaBaBAbb", "aaabABBaBaBaBaBABBAB"}, {"aaaaabbababbaBBBABab", "aaaabAbbbAbaBaBaBBab", "aaabaBBaBaBaBaBABBAB"}, {"aaaaabbababbaBBBABAb", "aaaabAbbbAbaBaBaBBAb", "aaabbABaBaBaBaBABBAB"}, {"aaaaabbababbaBBBABAB", "aaaaabAbbbAbaBaBaBBB", "aaabbaBaBaBaBaBABBAB"}, {"aaaaabbababbbaababbb", "aaaabAbbbAbAbabbAbAb", "aabbaBaabbaBaBaBaBab"}, {"aaaaabbababbbaabbabb", "aaaabAbbbAbAbabAbbAb", "aabbaBababaBaBaBaBab"}, {"aaaaabbababbbaabbbab", "aaaabAbbbAbAbabAbAbb", "aababababaBaaBBabaBB"}, {"aaaaabbababbbabaabbb", "aaaabAbbbAbAbbabAbAb", "aabaBBababababaBaaBB"}, {"aaaaabbababbbababaBB", "aaaaabAbbbAbAbbbaBaB", "aaabababababAbbAAbbb"}, {"aaaaabbababbbababbaB", "aaaaabAbbbAbAbbbAbaB", "aabababababAbbAAbbAb"}, {"aaaaabbababbbababbAb", "aaaabAbbbAbAbbbAbAAb", "aabaBABABABABaBBaaBB"}, {"aaaaabbababbbababbAB", "aaaaabAbbbAbAbbbAbAB", "aabbaabbABaBaBaBaBab"}, {"aaaaabbababbbababAbb", "aaaabAbbbAbAbbbAAbAb", "aabbaabAbbaBaBaBaBab"}, {"aaaaabbababbbababABB", "aaaaabAbbbAbAbbbABaB", "aabababababAbbAAbbAB"}, {"aaaaabbababbbabaBabb", "aaaabAbbbAbAbbaBabAb", "aabbaaBBabaBaBaBaBab"}, {"aaaaabbababbbabaBAbb", "aaaabAbbbAbAbbaBAbAb", "aabbaaBAbbaBaBaBaBab"}, {"aaaaabbababbbabaBABB", "aaaaabAbbbAbAbbaBBaB", "aabababababAbbAAbbaB"}, {"aaaaabbababbbabaBBab", "aaaabAbbbAbAbbaBaBab", "aaabbababababAbbAAbb"}, {"aaaaabbababbbabaBBAb", "aaaabAbbbAbAbbaBaBAb", "aabbaaBBAbaBaBaBaBab"}, {"aaaaabbababbbabaBBAB", "aaaaabAbbbAbAbbaBaBB", "aabaBaBaBaBaBABBAABB"}, {"aaaaabbababbbabbaabb", "aaaabAbbbAbAbbAbabAb", "aababAbabAbAbAbAbabb"}, {"aaaaabbababbbabbabaB", "aaaaabAbbbAbAbbAbbaB", "aabababababAbbAAbAbb"}, {"aaaaabbababbbabbabAb", "aaaabAbbbAbAbbAbbAAb", "aababaBabAbAbAbAbabb"}, {"aaaaabbababbbabbabAB", "aaaaabAbbbAbAbbAbbAB", "aababaBAbAbAbAbAbabb"}, {"aaaaabbababbbabbaBab", "aaaabAbbbAbAbbAbaBab", "aababababaBaaBBaBabb"}, {"aaaaabbababbbabbaBAb", "aaaabAbbbAbAbbAbaBAb", "aababABabAbAbAbAbabb"}, {"aaaaabbababbbabbaBAB", "aaaaabAbbbAbAbbAbaBB", "aababABAbAbAbAbAbabb"}, {"aaaaabbababbbabbbaab", "aaaabAbbbAbAbbAbAbab", "aabaabAbbAbAbAbAbabb"}, {"aaaaabbababbbabbAbab", "aaaabAbbbAbAbbAbAAbb", "aabaaBabbAbAbAbAbabb"}, {"aaaaabbababbbabbABab", "aaaabAbbbAbAbbAbABab", "aabaaBAbbAbAbAbAbabb"}, {"aaaaabbababbbabbABAb", "aaaabAbbbAbAbbAbABAb", "aabaaBBabAbAbAbAbabb"}, {"aaaaabbababbbabbABAB", "aaaaabAbbbAbAbbAbABB", "aabaaBBAbAbAbAbAbabb"}, {"aaaaabbababbbabAbabb", "aaaabAbbbAbAbbAAbbAb", "aabaBababAbAbAbAbabb"}, {"aaaaabbababbbabAbbab", "aaaabAbbbAbAbbAAbAbb", "aababababaBaaBBaBABB"}, {"aaaaabbababbbabABabb", "aaaabAbbbAbAbbABabAb", "aabaBAbabAbAbAbAbabb"}, {"aaaaabbababbbabABAbb", "aaaabAbbbAbAbbABAbAb", "aabaBBaabAbAbAbAbabb"}, {"aaaaabbababbbabABABB", "aaaaabAbbbAbAbbABBaB", "aabababababAbbAAbABB"}, {"aaaaabbababbbabABBab", "aaaabAbbbAbAbbABaBab", "aababababaBaaBBaBAbb"}, {"aaaaabbababbbabABBAb", "aaaabAbbbAbAbbABaBAb", "aabaBABabAbAbAbAbabb"}, {"aaaaabbababbbabABBAB", "aaaaabAbbbAbAbbABaBB", "aabaBABAbAbAbAbAbabb"}, {"aaaaabbababbbaBababb", "aaaabAbbbAbAbaBabbAb", "aabaBaBaBaBabaabbaBB"}, {"aaaaabbababbbaBabbab", "aaaabAbbbAbAbaBabAbb", "aababababaBaaBBabbaB"}, {"aaaaabbababbbaBAbabb", "aaaabAbbbAbAbaBAbbAb", "aabbaBAbabaBaBaBaBab"}, {"aaaaabbababbbaBAbbab", "aaaabAbbbAbAbaBAbAbb", "aababababaBaaBBabABB"}, {"aaaaabbababbbaBABabb", "aaaabAbbbAbAbaBBabAb", "aabbaBABabaBaBaBaBab"}, {"aaaaabbababbbaBABAbb", "aaaabAbbbAbAbaBBAbAb", "aabbaBAAbbaBaBaBaBab"}, {"aaaaabbababbbaBABABB", "aaaaabAbbbAbAbaBBBaB", "aabababababAbbAAbaBB"}, {"aaaaabbababbbaBABBab", "aaaabAbbbAbAbaBBaBab", "aababababaBaaBBabAbb"}, {"aaaaabbababbbaBABBAb", "aaaabAbbbAbAbaBBaBAb", "aabbaBABAbaBaBaBaBab"}, {"aaaaabbababbbaBABBAB", "aaaaabAbbbAbAbaBBaBB", "aabbaBABABaBaBaBaBab"}, {"aaaaabbababbbaBBabab", "aaaabAbbbAbAbaBaBabb", "aaababababaBaaBBabbb"}, {"aaaaabbababbbaBBAbab", "aaaabAbbbAbAbaBaBAbb", "aababababaBaaBBabbAB"}, {"aaaaabbababbbaBBABab", "aaaabAbbbAbAbaBaBBab", "aababababaBaaBBabbAb"}, {"aaaaabbababbbaBBABAb", "aaaabAbbbAbAbaBaBBAb", "aabbaBBAAbaBaBaBaBab"}, {"aaaaabbababbbaBBABAB", "aaaaabAbbbAbAbaBaBBB", "aabbaBaBaBaBaBABBAAB"}, {"aaaaabbababbbbaababb", "aaaabAbbbAbAbAbabbAb", "aaabAbbabAbAbAbAbabb"}, {"aaaaabbababbbbaabbab", "aaaabAbbbAbAbAbabAbb", "aaabAbabbAbAbAbAbabb"}, {"aaaaabbababbbbabaabb", "aaaabAbbbAbAbAbbabAb", "aaabbAbabAbAbAbAbabb"}, {"aaaaabbababbbbababaB", "aaaaabAbbbAbAbAbbbaB", "aaabbababababaBaaBBB"}, {"aaaaabbababbbbababAb", "aaaabAbbbAbAbAbbbAAb", "aaabbaBabAbAbAbAbabb"}, {"aaaaabbababbbbababAB", "aaaaabAbbbAbAbAbbbAB", "aaabbaBAbAbAbAbAbabb"}, {"aaaaabbababbbbabaBab", "aaaabAbbbAbAbAbbaBab", "aaabbAAbbAbAbAbAbabb"}, {"aaaaabbababbbbabaBAb", "aaaabAbbbAbAbAbbaBAb", "aaabbABabAbAbAbAbabb"}, {"aaaaabbababbbbabaBAB", "aaaaabAbbbAbAbAbbaBB", "aaabbABAbAbAbAbAbabb"}, {"aaaaabbababbbbabbaab", "aaaabAbbbAbAbAbbAbab", "aaababAbbAbAbAbAbabb"}, {"aaaaabbababbbbabAbab", "aaaabAbbbAbAbAbbAAbb", "aaabaBabbAbAbAbAbabb"}, {"aaaaabbababbbbabABab", "aaaabAbbbAbAbAbbABab", "aaabaBAbbAbAbAbAbabb"}, {"aaaaabbababbbbabABAb", "aaaabAbbbAbAbAbbABAb", "aaabaBBabAbAbAbAbabb"}, {"aaaaabbababbbbabABAB", "aaaaabAbbbAbAbAbbABB", "aaabaBBAbAbAbAbAbabb"}, {"aaaaabbababbbbaBabab", "aaaabAbbbAbAbAbaBabb", "aaababababaBaaBBBabb"}, {"aaaaabbababbbbaBAbab", "aaaabAbbbAbAbAbaBAbb", "aaabABabbAbAbAbAbabb"}, {"aaaaabbababbbbaBABab", "aaaabAbbbAbAbAbaBBab", "aaabABAbbAbAbAbAbabb"}, {"aaaaabbababbbbaBABAb", "aaaabAbbbAbAbAbaBBAb", "aaabABBabAbAbAbAbabb"}, {"aaaaabbababbbbaBABAB", "aaaaabAbbbAbAbAbaBBB", "aaabABBAbAbAbAbAbabb"}, {"aaaaabbababbbbAbabab", "aaaabaBBBABABABABaBB", "aaaabAbbbAbAbAbAAbbb"}, {"aaaaabbababbbbABabab", "aaaabAbbbAbAbAbABabb", "aaaabABBBABABABABaBB"}, {"aaaaabbababbbbABAbab", "aaaabbaBBABABABABaBB", "aaaabAbbbAbAbAbABAbb"}, {"aaaaabbababbbbABABab", "aaaabbABBABABABABaBB", "aaaabAbbbAbAbAbABBab"}, {"aaaaabbababbbbABABAb", "aaaabbbaBABABABABaBB", "aaaabAbbbAbAbAbABBAb"}, {"aaaaabbababbbbABABAB", "aaaaabAbbbAbAbAbABBB", "aaaabbbABABABABABaBB"}, {"aaaaabbababbbAbababb", "aaaabAbbbAbAbAAbbbAb", "aaabaBBaBABABABABaBB"}, {"aaaaabbababbbAbabbab", "aaaabAbbbAbAbAAbbAbb", "aaabaBaBBABABABABaBB"}, {"aaaaabbababbbAbbabab", "aaaabAbbbAbAbAAbAbbb", "aaabaaBBBABABABABaBB"}, {"aaaaabbababbbABababb", "aaaabAbbbAbAbABabbAb", "aaabABBaBABABABABaBB"}, {"aaaaabbababbbABabbab", "aaaabAbbbAbAbABabAbb", "aaabABaBBABABABABaBB"}, {"aaaaabbababbbABAbabb", "aaaabAbbbAbAbABAbbAb", "aaabbaBaBABABABABaBB"}, {"aaaaabbababbbABAbbab", "aaaabAbbbAbAbABAbAbb", "aaabbaaBBABABABABaBB"}, {"aaaaabbababbbABABabb", "aaaabAbbbAbAbABBabAb", "aaabbABaBABABABABaBB"}, {"aaaaabbababbbABABAbb", "aaaabAbbbAbAbABBAbAb", "aaabbbaaBABABABABaBB"}, {"aaaaabbababbbABABABB", "aaaaabAbbbAbAbABBBaB", "aaabbbAABABABABABaBB"}, {"aaaaabbababbbABABBab", "aaaabAbbbAbAbABBaBab", "aaabbAABBABABABABaBB"}, {"aaaaabbababbbABABBAb", "aaaabAbbbAbAbABBaBAb", "aaabbAbaBABABABABaBB"}, {"aaaaabbababbbABABBAB", "aaaaabAbbbAbAbABBaBB", "aaabbAbABABABABABaBB"}, {"aaaaabbababbbABBabab", "aaaabAbbbAbAbABaBabb", "aaababababaBaaBBBAbb"}, {"aaaaabbababbbABBAbab", "aaaabAbbbAbAbABaBAbb", "aaabAbaBBABABABABaBB"}, {"aaaaabbababbbABBABab", "aaaabAbbbAbAbABaBBab", "aaabAbABBABABABABaBB"}, {"aaaaabbababbbABBABAb", "aaaabAbbbAbAbABaBBAb", "aaabAbbaBABABABABaBB"}, {"aaaaabbababbbABBABAB", "aaaaabAbbbAbAbABaBBB", "aaabAbbABABABABABaBB"}, {"aaaaabbababbAbababbb", "aaaabAbbbAbAAbbbAbAb", "aabaBBaaBABABABABaBB"}, {"aaaaabbababbAbabbabb", "aaaabAbbbAbAAbbAbbAb", "aabaBaBaBABABABABaBB"}, {"aaaaabbababbAbabbbab", "aaaabAbbbAbAAbbAbAbb", "aababababaBaaBBABaBB"}, {"aaaaabbababbAbbababb", "aaaabAbbbAbAAbAbbbAb", "aabaaBBaBABABABABaBB"}, {"aaaaabbababbAbbabbab", "aaaabAbbbAbAAbAbbAbb", "aabaaBaBBABABABABaBB"}, {"aaaaabbababbAbbbabab", "aaaabAbbbAbAAbAbAbbb", "aaababababaBaaBBABBB"}, {"aaaaabbababbABababbb", "aaaabAbbbAbABabbAbAb", "aabbaBaBaBaBabaabbAB"}, {"aaaaabbababbABabbabb", "aaaabAbbbAbABabAbbAb", "aabbABababaBaBaBaBab"}, {"aaaaabbababbABabbbab", "aaaabAbbbAbABabAbAbb", "aababababaBaaBBAbaBB"}, {"aaaaabbababbABAbabbb", "aaaabAbbbAbABAbbAbAb", "aabbaBaaBABABABABaBB"}, {"aaaaabbababbABAbbabb", "aaaabAbbbAbABAbAbbAb", "aababAbAbAbAbabbaaBB"}, {"aaaaabbababbABAbbbab", "aaaabAbbbAbABAbAbAbb", "aaabbAbAbAbAbabbaaBB"}, {"aaaaabbababbABABabbb", "aaaabAbbbAbABBabAbAb", "aabbAABabbaBaBaBaBab"}, {"aaaaabbababbABABAbbb", "aaaabAbbbAbABBAbAbAb", "aaabbbABABABABAbAAbb"}, {"aaaaabbababbABABABBB", "aaaaabAbbbAbABBBaBaB", "aaabababababAbbAABBB"}, {"aaaaabbababbABABBabb", "aaaabAbbbAbABBaBabAb", "aabbAABaBABABABABaBB"}, {"aaaaabbababbABABBAbb", "aaaabAbbbAbABBaBAbAb", "aabaBBAbAbAbAbABAABB"}, {"aaaaabbababbABABBABB", "aaaaabAbbbAbABBaBBaB", "aabababababAbbAABBaB"}, {"aaaaabbababbABABBBab", "aaaabAbbbAbABBaBaBab", "aaabbababababAbbAABB"}, {"aaaaabbababbABABBBAb", "aaaabAbbbAbABBaBaBAb", "aabbaBAbAbAbAbABAABB"}, {"aaaaabbababbABABBBAB", "aaaaabAbbbAbABBaBaBB", "aabaBaBaBaBaBABBAAbb"}, {"aaaaabbababbABBababb", "aaaabAbbbAbABaBabbAb", "aabaBaBaBaBabaabbABB"}, {"aaaaabbababbABBabbab", "aaaabAbbbAbABaBabAbb", "aababababaBaaBBAbbaB"}, {"aaaaabbababbABBAbabb", "aaaabAbbbAbABaBAbbAb", "aabbABAbabaBaBaBaBab"}, {"aaaaabbababbABBAbbab", "aaaabAbbbAbABaBAbAbb", "aababababaBaaBBAbABB"}, {"aaaaabbababbABBABabb", "aaaabAbbbAbABaBBabAb", "aabbABABabaBaBaBaBab"}, {"aaaaabbababbABBABAbb", "aaaabAbbbAbABaBBAbAb", "aabbABAAbbaBaBaBaBab"}, {"aaaaabbababbABBABABB", "aaaaabAbbbAbABaBBBaB", "aabababababAbbAABaBB"}, {"aaaaabbababbABBABBab", "aaaabAbbbAbABaBBaBab", "aababababaBaaBBAbAbb"}, {"aaaaabbababbABBABBAb", "aaaabAbbbAbABaBBaBAb", "aabbABABAbaBaBaBaBab"}, {"aaaaabbababbABBABBAB", "aaaaabAbbbAbABaBBaBB", "aabbABABABaBaBaBaBab"}, {"aaaaabbababbABBBabab", "aaaabAbbbAbABaBaBabb", "aaababababaBaaBBAbbb"}, {"aaaaabbababbABBBAbab", "aaaabAbbbAbABaBaBAbb", "aababababaBaaBBAbbAB"}, {"aaaaabbababbABBBABab", "aaaabAbbbAbABaBaBBab", "aababababaBaaBBAbbAb"}, {"aaaaabbababbABBBABAb", "aaaabAbbbAbABaBaBBAb", "aabbABaBaBaBaBABBAAb"}, {"aaaaabbababbABBBABAB", "aaaaabAbbbAbABaBaBBB", "aabbaBaBaBaBaBABBAAb"}, {"aaaaabbababAbababbbb", "aaaabAbbbAAbbbAbAbAb", "aaabAbAbAbAbabbaBabb"}, {"aaaaabbababAbabbabbb", "aaaabAbbbAAbbAbbAbAb", "aabAbababbaBaBaBaBab"}, {"aaaaabbababAbabbbabb", "aaaabAbbbAAbbAbAbbAb", "aababAbAbAbAbabbaBab"}, {"aaaaabbababAbabbbbab", "aaaabAbbbAAbbAbAbAbb", "aaabbAbAbAbAbabbaBab"}, {"aaaaabbababAbbababbb", "aaaabAbbbAAbAbbbAbAb", "aabbaabAbAbAbAbabbaB"}, {"aaaaabbababAbbabbabb", "aaaabAbbbAAbAbbAbbAb", "aabababAbAbAbAbabbaB"}, {"aaaaabbababAbbabbbab", "aaaabAbbbAAbAbbAbAbb", "aabaabbAbAbAbAbabbaB"}, {"aaaaabbababAbbbababb", "aaaabAbbbAAbAbAbbbAb", "aaabbabAbAbAbAbabbaB"}, {"aaaaabbababAbbbabbab", "aaaabAbbbAAbAbAbbAbb", "aaababbAbAbAbAbabbaB"}, {"aaaaabbababAbbbbabab", "aaaabbbAbAbAbAbabbaB", "aaaabAbbbAAbAbAbAbbb"}, {"aaaaabbababABababbbb", "aaaabAbbbABabbAbAbAb", "aaabAbAbAbAbabbaBAbb"}, {"aaaaabbababABabbabbb", "aaaabAbbbABabAbbAbAb", "aabAbAbAbAbabbaBAbab"}, {"aaaaabbababABabbbabb", "aaaabAbbbABabAbAbbAb", "aababAbAbAbAbabbaBAb"}, {"aaaaabbababABabbbbab", "aaaabAbbbABabAbAbAbb", "aaabbAbAbAbAbabbaBAb"}, {"aaaaabbababABAbabbbb", "aaaabAbbbABAbbAbAbAb", "aaabAbAbAbAbabbaBBab"}, {"aaaaabbababABAbbabbb", "aaaabAbbbABAbAbbAbAb", "aabaabAbAbAbAbabbaBB"}, {"aaaaabbababABAbbbabb", "aaaabAbbbABAbAbAbbAb", "aaababAbAbAbAbabbaBB"}, {"aaaaabbababABAbbbbab", "aaaabbAbAbAbAbabbaBB", "aaaabAbbbABAbAbAbAbb"}, {"aaaaabbababABABabbbb", "aaaabAbbbABBabAbAbAb", "aaabAbAbAbAbabbaBBAb"}, {"aaaaabbababABABAbbbb", "aaaabAbbbABBAbAbAbAb", "aaaabAbAbAbAbabbaBBB"}, {"aaaaabbababABABABBBB", "aaaaabAbbbABBBaBaBaB", "aaaabababababAbbABBB"}, {"aaaaabbababABABBabbb", "aaaabAbbbABBaBabAbAb", "aabbABBAbAbAbAbABAAB"}, {"aaaaabbababABABBAbbb", "aaaabAbbbABBaBAbAbAb", "aaabAbAbAbAbabbaBBAB"}, {"aaaaabbababABABBABBB", "aaaaabAbbbABBaBBaBaB", "aaabababababAbbABBaB"}, {"aaaaabbababABABBBabb", "aaaabAbbbABBaBaBabAb", "aaabAbababababAbbABB"}, {"aaaaabbababABABBBAbb", "aaaabAbbbABBaBaBAbAb", "aabbaBBAbAbAbAbABAAB"}, {"aaaaabbababABABBBABB", "aaaaabAbbbABBaBaBBaB", "aabaaBaBaBaBaBABBAbb"}, {"aaaaabbababABABBBBab", "aaaabbababababAbbABB", "aaaabAbbbABBaBaBaBab"}, {"aaaaabbababABABBBBAb", "aaaabAbbbABBaBaBaBAb", "aaabABaBaBaBaBABBAbb"}, {"aaaaabbababABABBBBAB", "aaaaabAbbbABBaBaBaBB", "aaabaBaBaBaBaBABBAbb"}, {"aaaaabbababABBababbb", "aaaabAbbbABaBabbAbAb", "aabbaBaBaBaBabaabABB"}, {"aaaaabbababABBabbabb", "aaaabAbbbABaBabAbbAb", "aabAbAbababababAbbAB"}, {"aaaaabbababABBabbbab", "aaaabAbbbABaBabAbAbb", "aababababaBaaBAbbaBB"}, {"aaaaabbababABBAbabbb", "aaaabAbbbABaBAbbAbAb", "aabAbAbAbAbabbaBABab"}, {"aaaaabbababABBAbbabb", "aaaabAbbbABaBAbAbbAb", "aababAbAbAbAbabbaBAB"}, {"aaaaabbababABBAbbbab", "aaaabAbbbABaBAbAbAbb", "aaabbAbAbAbAbabbaBAB"}, {"aaaaabbababABBABabbb", "aaaabAbbbABaBBabAbAb", "aabAbAbAbAbabbaBABAb"}, {"aaaaabbababABBABAbbb", "aaaabAbbbABaBBAbAbAb", "aaabAbAbAbAbabbaBABB"}, {"aaaaabbababABBABABBB", "aaaaabAbbbABaBBBaBaB", "aaabababababAbbABaBB"}, {"aaaaabbababABBABBabb", "aaaabAbbbABaBBaBabAb", "aabAbababababAbbABaB"}, {"aaaaabbababABBABBAbb", "aaaabAbbbABaBBaBAbAb", "aabAbAbAbAbabbaBABAB"}, {"aaaaabbababABBABBABB", "aaaaabAbbbABaBBaBBaB", "aabababababAbbABaBaB"}, {"aaaaabbababABBABBBab", "aaaabAbbbABaBBaBaBab", "aaabbababababAbbABaB"}, {"aaaaabbababABBABBBAb", "aaaabAbbbABaBBaBaBAb", "aabABaBaBaBaBABBAbab"}, {"aaaaabbababABBABBBAB", "aaaaabAbbbABaBBaBaBB", "aabaBaBaBaBaBABBAbab"}, {"aaaaabbababABBBababb", "aaaabAbbbABaBaBabbAb", "aaabbAbababababAbbAB"}, {"aaaaabbababABBBabbab", "aaaabAbbbABaBaBabAbb", "aaabAbbababababAbbAB"}, {"aaaaabbababABBBAbabb", "aaaabAbbbABaBaBAbbAb", "aabABABaBaBaBaBABBAb"}, {"aaaaabbababABBBAbbab", "aaaabAbbbABaBaBAbAbb", "aababababaBaaBAbbABB"}, {"aaaaabbababABBBABabb", "aaaabAbbbABaBaBBabAb", "aabaBABaBaBaBaBABBAb"}, {"aaaaabbababABBBABAbb", "aaaabAbbbABaBaBBAbAb", "aabbAABaBaBaBaBABBAb"}, {"aaaaabbababABBBABABB", "aaaaabAbbbABaBaBBBaB", "aabababababAbbABaaBB"}, {"aaaaabbababABBBABBab", "aaaabAbbbABaBaBBaBab", "aabaaBBaBaBaBaBABBAb"}, {"aaaaabbababABBBABBAb", "aaaabAbbbABaBaBBaBAb", "aababABaBaBaBaBABBAb"}, {"aaaaabbababABBBABBAB", "aaaaabAbbbABaBaBBaBB", "aababaBaBaBaBaBABBAb"}, {"aaaaabbababABBBBabab", "aaaabbbababababAbbAB", "aaaabAbbbABaBaBaBabb"}, {"aaaaabbababABBBBAbab", "aaaabAbbbABaBaBaBAbb", "aaabABBaBaBaBaBABBAb"}, {"aaaaabbababABBBBABab", "aaaabAbbbABaBaBaBBab", "aaabaBBaBaBaBaBABBAb"}, {"aaaaabbababABBBBABAb", "aaaabAbbbABaBaBaBBAb", "aaabbABaBaBaBaBABBAb"}, {"aaaaabbababABBBBABAB", "aaaaabAbbbABaBaBaBBB", "aaabbaBaBaBaBaBABBAb"}, {"aaaaabbabaBabababbbb", "aaaabAbbaBabbbAbAbAb", "aaabbbaBaBaBaBabaaBB"}, {"aaaaabbabaBababbabbb", "aaaabAbbaBabbAbbAbAb", "aababbaBaBaBaBabaaBB"}, {"aaaaabbabaBababbbabb", "aaaabAbbaBabbAbAbbAb", "aababAbAbAbAbabbAAbb"}, {"aaaaabbabaBababbbbab", "aaaabAbbaBabbAbAbAbb", "aaabbAbAbAbAbabbAAbb"}, {"aaaaabbabaBabbababbb", "aaaabAbbaBabAbbbAbAb", "aabbaBaaBBababababaB"}, {"aaaaabbabaBabbabbabb", "aaaabAbbaBabAbbAbbAb", "aabbaBaBaBababababaB"}, {"aaaaabbabaBabbabbbab", "aaaabAbbaBabAbbAbAbb", "aababababaBaabbaBaBB"}, {"aaaaabbabaBabbbababb", "aaaabAbbaBabAbAbbbAb", "aabaBaBaBaBabaaBBabb"}, {"aaaaabbabaBabbbabbab", "aaaabAbbaBabAbAbbAbb", "aababababaBaabbaBBaB"}, {"aaaaabbabaBabbbbabab", "aaaabAbbaBabAbAbAbbb", "aaababababaBaabbaBBB"}, {"aaaaabbabaBAbababbbb", "aaaabAbbaBAbbbAbAbAb", "aaabAbAbAbAbabbABabb"}, {"aaaaabbabaBAbabbabbb", "aaaabAbbaBAbbAbbAbAb", "aabAbAbAbAbabbABabab"}, {"aaaaabbabaBAbabbbabb", "aaaabAbbaBAbbAbAbbAb", "aababAbAbAbAbabbABab"}, {"aaaaabbabaBAbabbbbab", "aaaabAbbaBAbbAbAbAbb", "aaabbAbAbAbAbabbABab"}, {"aaaaabbabaBAbbababbb", "aaaabAbbaBAbAbbbAbAb", "aabbaabAbAbAbAbabbAB"}, {"aaaaabbabaBAbbabbabb", "aaaabAbbaBAbAbbAbbAb", "aabababAbAbAbAbabbAB"}, {"aaaaabbabaBAbbabbbab", "aaaabAbbaBAbAbbAbAbb", "aabaabbAbAbAbAbabbAB"}, {"aaaaabbabaBAbbbababb", "aaaabAbbaBAbAbAbbbAb", "aaabbabAbAbAbAbabbAB"}, {"aaaaabbabaBAbbbabbab", "aaaabAbbaBAbAbAbbAbb", "aaababbAbAbAbAbabbAB"}, {"aaaaabbabaBAbbbbabab", "aaaabbbAbAbAbAbabbAB", "aaaabAbbaBAbAbAbAbbb"}, {"aaaaabbabaBABababbbb", "aaaabAbbaBBabbAbAbAb", "aaabAbAbAbAbabbABAbb"}, {"aaaaabbabaBABabbabbb", "aaaabAbbaBBabAbbAbAb", "aabAbaBaBBababababaB"}, {"aaaaabbabaBABabbbabb", "aaaabAbbaBBabAbAbbAb", "aababAbAbAbAbabbABAb"}, {"aaaaabbabaBABabbbbab", "aaaabAbbaBBabAbAbAbb", "aaabbAbAbAbAbabbABAb"}, {"aaaaabbabaBABAbabbbb", "aaaabAbbaBBAbbAbAbAb", "aaabAbAbAbAbabbABBab"}, {"aaaaabbabaBABAbbabbb", "aaaabAbbaBBAbAbbAbAb", "aabaabAbAbAbAbabbABB"}, {"aaaaabbabaBABAbbbabb", "aaaabAbbaBBAbAbAbbAb", "aaababAbAbAbAbabbABB"}, {"aaaaabbabaBABAbbbbab", "aaaabbAbAbAbAbabbABB", "aaaabAbbaBBAbAbAbAbb"}, {"aaaaabbabaBABABabbbb", "aaaabAbbaBBBabAbAbAb", "aaabAbAbAbAbabbABBAb"}, {"aaaaabbabaBABABAbbbb", "aaaabAbbaBBBAbAbAbAb", "aaaabAbAbAbAbabbABBB"}, {"aaaaabbabaBABABABBBB", "aaaaabAbbaBBBBaBaBaB", "aaaabababababAbbaBBB"}, {"aaaaabbabaBABABBabbb", "aaaabAbbaBBBaBabAbAb", "aabbABBAbAbAbAbABAAb"}, {"aaaaabbabaBABABBAbbb", "aaaabAbbaBBBaBAbAbAb", "aaabAbAbAbAbabbABBAB"}, {"aaaaabbabaBABABBABBB", "aaaaabAbbaBBBaBBaBaB", "aaabababababAbbaBBaB"}, {"aaaaabbabaBABABBBabb", "aaaabAbbaBBBaBaBabAb", "aaabAbababababAbbaBB"}, {"aaaaabbabaBABABBBAbb", "aaaabAbbaBBBaBaBAbAb", "aabbaBBAbAbAbAbABAAb"}, {"aaaaabbabaBABABBBABB", "aaaaabAbbaBBBaBaBBaB", "aabaaBaBaBaBaBABBabb"}, {"aaaaabbabaBABABBBBab", "aaaabbababababAbbaBB", "aaaabAbbaBBBaBaBaBab"}, {"aaaaabbabaBABABBBBAb", "aaaabAbbaBBBaBaBaBAb", "aaabABaBaBaBaBABBabb"}, {"aaaaabbabaBABABBBBAB", "aaaaabAbbaBBBaBaBaBB", "aaabaBaBaBaBaBABBabb"}, {"aaaaabbabaBABBababbb", "aaaabAbbaBBaBabbAbAb", "aabbaBaBaBaBabaaBABB"}, {"aaaaabbabaBABBabbabb", "aaaabAbbaBBaBabAbbAb", "aabAbbaBaBababababaB"}, {"aaaaabbabaBABBabbbab", "aaaabAbbaBBaBabAbAbb", "aababababaBaabAbbaBB"}, {"aaaaabbabaBABBAbabbb", "aaaabAbbaBBaBAbbAbAb", "aabAbAbAbAbabbABABab"}, {"aaaaabbabaBABBAbbabb", "aaaabAbbaBBaBAbAbbAb", "aababAbAbAbAbabbABAB"}, {"aaaaabbabaBABBAbbbab", "aaaabAbbaBBaBAbAbAbb", "aaabbAbAbAbAbabbABAB"}, {"aaaaabbabaBABBABabbb", "aaaabAbbaBBaBBabAbAb", "aabAbAbaBBababababaB"}, {"aaaaabbabaBABBABAbbb", "aaaabAbbaBBaBBAbAbAb", "aaabAbAbAbAbabbABABB"}, {"aaaaabbabaBABBABABBB", "aaaaabAbbaBBaBBBaBaB", "aaabababababAbbaBaBB"}, {"aaaaabbabaBABBABBabb", "aaaabAbbaBBaBBaBabAb", "aabAbababababAbbaBaB"}, {"aaaaabbabaBABBABBAbb", "aaaabAbbaBBaBBaBAbAb", "aabAbAbAbAbabbABABAB"}, {"aaaaabbabaBABBABBABB", "aaaaabAbbaBBaBBaBBaB", "aabababababAbbaBaBaB"}, {"aaaaabbabaBABBABBBab", "aaaabAbbaBBaBBaBaBab", "aaabbababababAbbaBaB"}, {"aaaaabbabaBABBABBBAb", "aaaabAbbaBBaBBaBaBAb", "aabAbAbbABababababaB"}, {"aaaaabbabaBABBABBBAB", "aaaaabAbbaBBaBBaBaBB", "aabaBaBaBaBaBABBabab"}, {"aaaaabbabaBABBBababb", "aaaabAbbaBBaBaBabbAb", "aaabbAbababababAbbaB"}, {"aaaaabbabaBABBBabbab", "aaaabAbbaBBaBaBabAbb", "aaabAbbababababAbbaB"}, {"aaaaabbabaBABBBAbabb", "aaaabAbbaBBaBaBAbbAb", "aabAbbABaBababababaB"}, {"aaaaabbabaBABBBAbbab", "aaaabAbbaBBaBaBAbAbb", "aababababaBaabAbbABB"}, {"aaaaabbabaBABBBABabb", "aaaabAbbaBBaBaBBabAb", "aabaBABaBaBaBaBABBab"}, {"aaaaabbabaBABBBABAbb", "aaaabAbbaBBaBaBBAbAb", "aabbAABaBaBaBaBABBab"}, {"aaaaabbabaBABBBABABB", "aaaaabAbbaBBaBaBBBaB", "aabababababAbbaBaaBB"}, {"aaaaabbabaBABBBABBab", "aaaabAbbaBBaBaBBaBab", "aabaaBBaBaBaBaBABBab"}, {"aaaaabbabaBABBBABBAb", "aaaabAbbaBBaBaBBaBAb", "aababABaBaBaBaBABBab"}, {"aaaaabbabaBABBBABBAB", "aaaaabAbbaBBaBaBBaBB", "aababaBaBaBaBaBABBab"}, {"aaaaabbabaBABBBBabab", "aaaabbbababababAbbaB", "aaaabAbbaBBaBaBaBabb"}, {"aaaaabbabaBABBBBAbab", "aaaabAbbaBBaBaBaBAbb", "aaabABBaBaBaBaBABBab"}, {"aaaaabbabaBABBBBABab", "aaaabAbbaBBaBaBaBBab", "aaabaBBaBaBaBaBABBab"}, {"aaaaabbabaBABBBBABAb", "aaaabAbbaBBaBaBaBBAb", "aaabbABaBaBaBaBABBab"}, {"aaaaabbabaBABBBBABAB", "aaaaabAbbaBBaBaBaBBB", "aaabbaBaBaBaBaBABBab"}, {"aaaaabbabaBBabababbb", "aaaabAbbaBaBabbbAbAb", "aaabbaBaBaBaBabaaBBB"}, {"aaaaabbabaBBababbabb", "aaaabAbbaBaBabbAbbAb", "aaabbAbAbababababAbb"}, {"aaaaabbabaBBababbbab", "aaaabAbbaBaBabbAbAbb", "aaabbAAbbababababAbb"}, {"aaaaabbabaBBabbababb", "aaaabAbbaBaBabAbbbAb", "aaabAbbAbababababAbb"}, {"aaaaabbabaBBabbabbab", "aaaabAbbaBaBabAbbAbb", "aaabAbAbbababababAbb"}, {"aaaaabbabaBBabbbabab", "aaaabAbbaBaBabAbAbbb", "aaababababaBaabbbaBB"}, {"aaaaabbabaBBAbababbb", "aaaabAbbaBaBAbbbAbAb", "aabbaBaBaBaBabaaBBAb"}, {"aaaaabbabaBBAbabbabb", "aaaabAbbaBaBAbbAbbAb", "aabbABaBaBababababaB"}, {"aaaaabbabaBBAbabbbab", "aaaabAbbaBaBAbbAbAbb", "aababababaBaabbABaBB"}, {"aaaaabbabaBBAbbababb", "aaaabAbbaBaBAbAbbbAb", "aabaBaBaBaBabaaBBAbb"}, {"aaaaabbabaBBAbbabbab", "aaaabAbbaBaBAbAbbAbb", "aababababaBaabbABBaB"}, {"aaaaabbabaBBAbbbabab", "aaaabAbbaBaBAbAbAbbb", "aaababababaBaabbABBB"}, {"aaaaabbabaBBABababbb", "aaaabAbbaBaBBabbAbAb", "aabaBBAABaBaBaBaBABB"}, {"aaaaabbabaBBABabbabb", "aaaabAbbaBaBBabAbbAb", "aabaBABABaBaBaBaBABB"}, {"aaaaabbabaBBABabbbab", "aaaabAbbaBaBBabAbAbb", "aababababaBaabbAbaBB"}, {"aaaaabbabaBBABAbabbb", "aaaabAbbaBaBBAbbAbAb", "aabbAABaBBababababaB"}, {"aaaaabbabaBBABAbbabb", "aaaabAbbaBaBBAbAbbAb", "aababAbAbAbAbabbAABB"}, {"aaaaabbabaBBABAbbbab", "aaaabAbbaBaBBAbAbAbb", "aaabbAbAbAbAbabbAABB"}, {"aaaaabbabaBBABABabbb", "aaaabAbbaBaBBBabAbAb", "aabbaBAABaBaBaBaBABB"}, {"aaaaabbabaBBABABAbbb", "aaaabAbbaBaBBBAbAbAb", "aaabbbABABABABAbAABB"}, {"aaaaabbabaBBABABABBB", "aaaaabAbbaBaBBBBaBaB", "aaabababababAbbaaBBB"}, {"aaaaabbabaBBABABBabb", "aaaabAbbaBaBBBaBabAb", "aabbaaBABaBaBaBaBABB"}, {"aaaaabbabaBBABABBAbb", "aaaabAbbaBaBBBaBAbAb", "aabaBBAbAbAbAbABAAbb"}, {"aaaaabbabaBBABABBABB", "aaaaabAbbaBaBBBaBBaB", "aabababababAbbaaBBaB"}, {"aaaaabbabaBBABABBBab", "aaaabAbbaBaBBBaBaBab", "aaabbababababAbbaaBB"}, {"aaaaabbabaBBABABBBAb", "aaaabAbbaBaBBBaBaBAb", "aabbaabABaBaBaBaBABB"}, {"aaaaabbabaBBABABBBAB", "aaaaabAbbaBaBBBaBaBB", "aabaBaBaBaBaBABBaabb"}, {"aaaaabbabaBBABBababb", "aaaabAbbaBaBBaBabbAb", "aabaaBBABaBaBaBaBABB"}, {"aaaaabbabaBBABBabbab", "aaaabAbbaBaBBaBabAbb", "aabaaBABBaBaBaBaBABB"}, {"aaaaabbabaBBABBAbabb", "aaaabAbbaBaBBaBAbbAb", "aababABABaBaBaBaBABB"}, {"aaaaabbabaBBABBAbbab", "aaaabAbbaBaBBaBAbAbb", "aababababaBaabbAbABB"}, {"aaaaabbabaBBABBABabb", "aaaabAbbaBaBBaBBabAb", "aababaBABaBaBaBaBABB"}, {"aaaaabbabaBBABBABAbb", "aaaabAbbaBaBBaBBAbAb", "aababbAABaBaBaBaBABB"}, {"aaaaabbabaBBABBABABB", "aaaaabAbbaBaBBaBBBaB", "aabababababAbbaaBaBB"}, {"aaaaabbabaBBABBABBab", "aaaabAbbaBaBBaBBaBab", "aababaaBBaBaBaBaBABB"}, {"aaaaabbabaBBABBABBAb", "aaaabAbbaBaBBaBBaBAb", "aabababABaBaBaBaBABB"}, {"aaaaabbabaBBABBABBAB", "aaaaabAbbaBaBBaBBaBB", "aabababaBaBaBaBaBABB"}, {"aaaaabbabaBBABBBabab", "aaaabAbbaBaBBaBaBabb", "aaababababaBaabbAbbb"}, {"aaaaabbabaBBABBBAbab", "aaaabAbbaBaBBaBaBAbb", "aabaabABBaBaBaBaBABB"}, {"aaaaabbabaBBABBBABab", "aaaabAbbaBaBBaBaBBab", "aabaabaBBaBaBaBaBABB"}, {"aaaaabbabaBBABBBABAb", "aaaabAbbaBaBBaBaBBAb", "aabaabbABaBaBaBaBABB"}, {"aaaaabbabaBBABBBABAB", "aaaaabAbbaBaBBaBaBBB", "aabaabbaBaBaBaBaBABB"}, {"aaaaabbabaBBBabababb", "aaaabbbAbababababAbb", "aaaabAbbaBaBaBabbbAb"}, {"aaaaabbabaBBBababbab", "aaaabbAbbababababAbb", "aaaabAbbaBaBaBabbAbb"}, {"aaaaabbabaBBBabbabab", "aaaabAbbaBaBaBabAbbb", "aaaabAbbbababababAbb"}, {"aaaaabbabaBBBAbababb", "aaaabAbbaBaBaBAbbbAb", "aaabABBABaBaBaBaBABB"}, {"aaaaabbabaBBBAbabbab", "aaaabAbbaBaBaBAbbAbb", "aaabABABBaBaBaBaBABB"}, {"aaaaabbabaBBBAbbabab", "aaaabAbbaBaBaBAbAbbb", "aaababababaBaabbbABB"}, {"aaaaabbabaBBBABababb", "aaaabAbbaBaBaBBabbAb", "aaabaBBABaBaBaBaBABB"}, {"aaaaabbabaBBBABabbab", "aaaabAbbaBaBaBBabAbb", "aaabaBABBaBaBaBaBABB"}, {"aaaaabbabaBBBABAbabb", "aaaabAbbaBaBaBBAbbAb", "aaabbABABaBaBaBaBABB"}, {"aaaaabbabaBBBABAbbab", "aaaabAbbaBaBaBBAbAbb", "aaabbAABBaBaBaBaBABB"}, {"aaaaabbabaBBBABABabb", "aaaabAbbaBaBaBBBabAb", "aaabbaBABaBaBaBaBABB"}, {"aaaaabbabaBBBABABAbb", "aaaabAbbaBaBaBBBAbAb", "aaabbbAABaBaBaBaBABB"}, {"aaaaabbabaBBBABABABB", "aaaaabAbbaBaBaBBBBaB", "aaabbbaaBaBaBaBaBABB"}, {"aaaaabbabaBBBABABBab", "aaaabAbbaBaBaBBBaBab", "aaabbaaBBaBaBaBaBABB"}, {"aaaaabbabaBBBABABBAb", "aaaabAbbaBaBaBBBaBAb", "aaabbabABaBaBaBaBABB"}, {"aaaaabbabaBBBABABBAB", "aaaaabAbbaBaBaBBBaBB", "aaabbabaBaBaBaBaBABB"}, {"aaaaabbabaBBBABBabab", "aaaabAbbaBaBaBBaBabb", "aaabaaBBBaBaBaBaBABB"}, {"aaaaabbabaBBBABBAbab", "aaaabAbbaBaBaBBaBAbb", "aaababABBaBaBaBaBABB"}, {"aaaaabbabaBBBABBABab", "aaaabAbbaBaBaBBaBBab", "aaababaBBaBaBaBaBABB"}, {"aaaaabbabaBBBABBABAb", "aaaabAbbaBaBaBBaBBAb", "aaababbABaBaBaBaBABB"}, {"aaaaabbabaBBBABBABAB", "aaaaabAbbaBaBaBBaBBB", "aaababbaBaBaBaBaBABB"}, {"aaaaabbabaBBBBababab", "aaaaabbbbababababAbb", "aaaabAbbaBaBaBaBabbb"}, {"aaaaabbabaBBBBAbabab", "aaaabAbbaBaBaBaBAbbb", "aaaabABBBaBaBaBaBABB"}, {"aaaaabbabaBBBBABabab", "aaaabaBBBaBaBaBaBABB", "aaaabAbbaBaBaBaBBabb"}, {"aaaaabbabaBBBBABAbab", "aaaabbABBaBaBaBaBABB", "aaaabAbbaBaBaBaBBAbb"}, {"aaaaabbabaBBBBABABab", "aaaabbaBBaBaBaBaBABB", "aaaabAbbaBaBaBaBBBab"}, {"aaaaabbabaBBBBABABAb", "aaaabbbABaBaBaBaBABB", "aaaabAbbaBaBaBaBBBAb"}, {"aaaaabbabaBBBBABABAB", "aaaaabAbbaBaBaBaBBBB", "aaaabbbaBaBaBaBaBABB"}, {"aaaaabbabbaabababbbb", "aaaabAbbAbabbbAbAbAb", "aaabbbaBaBaBaBababaB"}, {"aaaaabbabbaababbabbb", "aaaabAbbAbabbAbbAbAb", "aababbaBaBaBaBababaB"}, {"aaaaabbabbaababbbabb", "aaaabAbbAbabbAbAbbAb", "aababAbAbAbAbababAbb"}, {"aaaaabbabbaababbbbab", "aaaabAbbAbabbAbAbAbb", "aaabbAbAbAbAbababAbb"}, {"aaaaabbabbaabbababbb", "aaaabAbbAbabAbbbAbAb", "aabbaBaBaBaBababaBab"}, {"aaaaabbabbaabbabbbab", "aaaabAbbAbabAbbAbAbb", "aababababaBaBabaBaBB"}, {"aaaaabbabbaabbbababb", "aaaabAbbAbabAbAbbbAb", "aabaBaBaBaBababaBabb"}, {"aaaaabbabbaabbbabbab", "aaaabAbbAbabAbAbbAbb", "aababababaBaBabaBBaB"}, {"aaaaabbabbaabbbbabab", "aaaabAbbAbabAbAbAbbb", "aaababababaBaBabaBBB"}, {"aaaaabbabbabaababbbb", "aaaabAbbAbbabbAbAbAb", "aaabAbAbAbAbababbAbb"}, {"aaaaabbabbabaabbabbb", "aaaabAbbAbbabAbbAbAb", "aabaBaBBababababaBaB"}, {"aaaaabbabbabaabbbabb", "aaaabAbbAbbabAbAbbAb", "aababAbAbAbAbababbAb"}, {"aaaaabbabbabaabbbbab", "aaaabAbbAbbabAbAbAbb", "aaabbAbAbAbAbababbAb"}, {"aaaaabbabbababaabbbb", "aaaabAbbAbbbabAbAbAb", "aaabaBBBababababaBaB"}, {"aaaaabbabbabababaBBB", "aaaaabAbbAbbbbaBaBaB", "aaaabababababAbAbbbb"}, {"aaaaabbabbabababbaBB", "aaaaabAbbAbbbbAbaBaB", "aaabababababAbAbbbAb"}, {"aaaaabbabbabababbbaB", "aaaaabAbbAbbbbAbAbaB", "aaabbaBBaBaBaBaBabab"}, {"aaaaabbabbabababbbAb", "aaaabababbaBBBBabaab", "aaabaBABABABABaBaBBB"}, {"aaaaabbabbabababbbAB", "aaaaabAbbAbbbbAbAbAB", "aaabbbABaBaBaBaBabab"}, {"aaaaabbabbabababbAbb", "aaaababbabaBBBBabaab", "aaabbAbbaBaBaBaBabab"}, {"aaaaabbabbabababbABB", "aaaaabAbbAbbbbAbABaB", "aaabbABBaBaBaBaBabab"}, {"aaaaabbabbabababAbbb", "aaaabbababaBBBBabaab", "aaabAbbbaBaBaBaBabab"}, {"aaaaabbabbabababABBB", "aaaaabAbbAbbbbABaBaB", "aaabababababAbAbbbAB"}, {"aaaaabbabbababaBabbb", "aaaabAbbAbbbaBabAbAb", "aaabbaBBababababaBaB"}, {"aaaaabbabbababaBAbbb", "aaaabAbbAbbbaBAbAbAb", "aaabAbAbAbAbababbbAB"}, {"aaaaabbabbababaBABBB", "aaaaabAbbAbbbaBBaBaB", "aaabababababAbAbbbaB"}, {"aaaaabbabbababaBBabb", "aaaabAbbAbbbaBaBabAb", "aaabbbaBababababaBaB"}, {"aaaaabbabbababaBBAbb", "aaaabAbbAbbbaBaBAbAb", "aaabbABBababababaBaB"}, {"aaaaabbabbababaBBABB", "aaaaabAbbAbbbaBaBBaB", "aaabbAbbababababaBaB"}, {"aaaaabbabbababaBBBab", "aaaabbababababAbAbbb", "aaaabAbbAbbbaBaBaBab"}, {"aaaaabbabbababaBBBAb", "aaaabAbbAbbbaBaBaBAb", "aaabbbABababababaBaB"}, {"aaaaabbabbababaBBBAB", "aaaaabAbbAbbbaBaBaBB", "aaabaBaBaBaBaBABABBB"}, {"aaaaabbabbababbaabbb", "aaaabAbbAbbbAbabAbAb", "aabaBabbaBaBaBaBabab"}, {"aaaaabbabbababbabaBB", "aaaaabAbbAbbbAbbaBaB", "aaabababababAbAbbAbb"}, {"aaaaabbabbababbabbaB", "aaaaabAbbAbbbAbbAbaB", "aabababababAbAbbAbAb"}, {"aaaaabbabbababbabbAb", "aaaabAbbAbbbAbbAbAAb", "aababbAbaBaBaBaBabab"}, {"aaaaabbabbababbabbAB", "aaaaabAbbAbbbAbbAbAB", "aababbABaBaBaBaBabab"}, {"aaaaabbabbababbabAbb", "aaaabAbbAbbbAbbAAbAb", "aababAbbaBaBaBaBabab"}, {"aaaaabbabbababbabABB", "aaaaabAbbAbbbAbbABaB", "aabababababAbAbbAbAB"}, {"aaaaabbabbababbaBabb", "aaaabAbbAbbbAbaBabAb", "aabaBBabaBaBaBaBabab"}, {"aaaaabbabbababbaBAbb", "aaaabAbbAbbbAbaBAbAb", "aabaBAbbaBaBaBaBabab"}, {"aaaaabbabbababbaBABB", "aaaaabAbbAbbbAbaBBaB", "aabababababAbAbbAbaB"}, {"aaaaabbabbababbaBBab", "aaaabAbbAbbbAbaBaBab", "aaabbababababAbAbbAb"}, {"aaaaabbabbababbaBBAb", "aaaabAbbAbbbAbaBaBAb", "aabaBBAbaBaBaBaBabab"}, {"aaaaabbabbababbaBBAB", "aaaaabAbbAbbbAbaBaBB", "aabaBaBaBaBaBABABBAB"}, {"aaaaabbabbababbbaabb", "aaaabAbbAbbbAbAbabAb", "aabbaBabaBaBaBaBabab"}, {"aaaaabbabbababbbabaB", "aaaaabAbbAbbbAbAbbaB", "aabababababAbAbbAAbb"}, {"aaaaabbabbababbbabAb", "aaaabAbbAbbbAbAbbAAb", "aabaBabAbAbAbAbababb"}, {"aaaaabbabbababbbabAB", "aaaaabAbbAbbbAbAbbAB", "aabaBAbAbAbAbAbababb"}, {"aaaaabbabbababbbaBab", "aaaabAbbAbbbAbAbaBab", "aababababaBaBaaBBabb"}, {"aaaaabbabbababbbaBAb", "aaaabAbbAbbbAbAbaBAb", "aabbaBAbaBaBaBaBabab"}, {"aaaaabbabbababbbaBAB", "aaaaabAbbAbbbAbAbaBB", "aabbaBABaBaBaBaBabab"}, {"aaaaabbabbababbbbaab", "aaaabAbbAbbbAbAbAbab", "aaabAbbAbAbAbAbababb"}, {"aaaaabbabbababbbAbab", "aaaabAbbAbbbAbAbAAbb", "aaabaBBABABABABaBaBB"}, {"aaaaabbabbababbbABab", "aaaabAbbAbbbAbAbABab", "aaabABBABABABABaBaBB"}, {"aaaaabbabbababbbABAb", "aaaabAbbAbbbAbAbABAb", "aaabbaBABABABABaBaBB"}, {"aaaaabbabbababbbABAB", "aaaaabAbbAbbbAbAbABB", "aaabbABABABABABaBaBB"}, {"aaaaabbabbababbAbabb", "aaaabAbbAbbbAbAAbbAb", "aabaBaBABABABABaBaBB"}, {"aaaaabbabbababbAbbab", "aaaabAbbAbbbAbAAbAbb", "aabaaBBABABABABaBaBB"}, {"aaaaabbabbababbABabb", "aaaabAbbAbbbAbABabAb", "aabbABabaBaBaBaBabab"}, {"aaaaabbabbababbABAbb", "aaaabAbbAbbbAbABAbAb", "aabbaaBABABABABaBaBB"}, {"aaaaabbabbababbABABB", "aaaaabAbbAbbbAbABBaB", "aabababababAbAbbAABB"}, {"aaaaabbabbababbABBab", "aaaabAbbAbbbAbABaBab", "aababababaBaBaaBBAbb"}, {"aaaaabbabbababbABBAb", "aaaabAbbAbbbAbABaBAb", "aabbABAbaBaBaBaBabab"}, {"aaaaabbabbababbABBAB", "aaaaabAbbAbbbAbABaBB", "aabbABABaBaBaBaBabab"}, {"aaaaabbabbababAbabbb", "aaaabAbbAbbbAAbbAbAb", "aabAbabbaBaBaBaBabab"}, {"aaaaabbabbababAbbabb", "aaaabAbbAbbbAAbAbbAb", "aababAbAbAbAbababbaB"}, {"aaaaabbabbababAbbbab", "aaaabAbbAbbbAAbAbAbb", "aaabbAbAbAbAbababbaB"}, {"aaaaabbabbababABabbb", "aaaabAbbAbbbABabAbAb", "aabAbAbAbAbababbaBAb"}, {"aaaaabbabbababABAbbb", "aaaabAbbAbbbABAbAbAb", "aaabAbAbAbAbababbaBB"}, {"aaaaabbabbababABABBB", "aaaaabAbbAbbbABBaBaB", "aaabababababAbAbbABB"}, {"aaaaabbabbababABBabb", "aaaabAbbAbbbABaBabAb", "aabAbababababAbAbbAB"}, {"aaaaabbabbababABBAbb", "aaaabAbbAbbbABaBAbAb", "aabAbAbAbAbababbaBAB"}, {"aaaaabbabbababABBABB", "aaaaabAbbAbbbABaBBaB", "aabababababAbAbbABaB"}, {"aaaaabbabbababABBBab", "aaaabAbbAbbbABaBaBab", "aaabbababababAbAbbAB"}, {"aaaaabbabbababABBBAb", "aaaabAbbAbbbABaBaBAb", "aabABaBaBaBaBABABBAb"}, {"aaaaabbabbababABBBAB", "aaaaabAbbAbbbABaBaBB", "aabaBaBaBaBaBABABBAb"}, {"aaaaabbabbabaBababbb", "aaaabAbbAbbaBabbAbAb", "aabbaaBBababababaBaB"}, {"aaaaabbabbabaBabbabb", "aaaabAbbAbbaBabAbbAb", "aabbaBaBababababaBaB"}, {"aaaaabbabbabaBabbbab", "aaaabAbbAbbaBabAbAbb", "aababababaBaBaabbaBB"}, {"aaaaabbabbabaBAbabbb", "aaaabAbbAbbaBAbbAbAb", "aabAbAbAbAbababbABab"}, {"aaaaabbabbabaBAbbabb", "aaaabAbbAbbaBAbAbbAb", "aababAbAbAbAbababbAB"}, {"aaaaabbabbabaBAbbbab", "aaaabAbbAbbaBAbAbAbb", "aaabbAbAbAbAbababbAB"}, {"aaaaabbabbabaBABabbb", "aaaabAbbAbbaBBabAbAb", "aabAbaBBababababaBaB"}, {"aaaaabbabbabaBABAbbb", "aaaabAbbAbbaBBAbAbAb", "aaabAbAbAbAbababbABB"}, {"aaaaabbabbabaBABABBB", "aaaaabAbbAbbaBBBaBaB", "aaabababababAbAbbaBB"}, {"aaaaabbabbabaBABBabb", "aaaabAbbAbbaBBaBabAb", "aabAbababababAbAbbaB"}, {"aaaaabbabbabaBABBAbb", "aaaabAbbAbbaBBaBAbAb", "aabAbAbAbAbababbABAB"}, {"aaaaabbabbabaBABBABB", "aaaaabAbbAbbaBBaBBaB", "aabababababAbAbbaBaB"}, {"aaaaabbabbabaBABBBab", "aaaabAbbAbbaBBaBaBab", "aaabbababababAbAbbaB"}, {"aaaaabbabbabaBABBBAb", "aaaabAbbAbbaBBaBaBAb", "aabAbbABababababaBaB"}, {"aaaaabbabbabaBABBBAB", "aaaaabAbbAbbaBBaBaBB", "aabaBaBaBaBaBABABBab"}, {"aaaaabbabbabaBBababb", "aaaabAbbAbbaBaBabbAb", "aaabbAbababababAbAbb"}, {"aaaaabbabbabaBBabbab", "aaaabAbbAbbaBaBabAbb", "aaabAbbababababAbAbb"}, {"aaaaabbabbabaBBAbabb", "aaaabAbbAbbaBaBAbbAb", "aabbABaBababababaBaB"}, {"aaaaabbabbabaBBAbbab", "aaaabAbbAbbaBaBAbAbb", "aababababaBaBaabbABB"}, {"aaaaabbabbabaBBABabb", "aaaabAbbAbbaBaBBabAb", "aabaBABaBaBaBaBABABB"}, {"aaaaabbabbabaBBABAbb", "aaaabAbbAbbaBaBBAbAb", "aabbAABaBaBaBaBABABB"}, {"aaaaabbabbabaBBABABB", "aaaaabAbbAbbaBaBBBaB", "aabababababAbAbbaaBB"}, {"aaaaabbabbabaBBABBab", "aaaabAbbAbbaBaBBaBab", "aabaaBBaBaBaBaBABABB"}, {"aaaaabbabbabaBBABBAb", "aaaabAbbAbbaBaBBaBAb", "aababABaBaBaBaBABABB"}, {"aaaaabbabbabaBBABBAB", "aaaaabAbbAbbaBaBBaBB", "aababaBaBaBaBaBABABB"}, {"aaaaabbabbabaBBBabab", "aaaabbbababababAbAbb", "aaaabAbbAbbaBaBaBabb"}, {"aaaaabbabbabaBBBAbab", "aaaabAbbAbbaBaBaBAbb", "aaabABBaBaBaBaBABABB"}, {"aaaaabbabbabaBBBABab", "aaaabAbbAbbaBaBaBBab", "aaabaBBaBaBaBaBABABB"}, {"aaaaabbabbabaBBBABAb", "aaaabAbbAbbaBaBaBBAb", "aaabbABaBaBaBaBABABB"}, {"aaaaabbabbabaBBBABAB", "aaaaabAbbAbbaBaBaBBB", "aaabbaBaBaBaBaBABABB"}, {"aaaaabbabbabbaababbb", "aaaabAbbAbbAbabbAbAb", "aabbaBaBaBaBabababaB"}, {"aaaaabbabbabbaabbbab", "aaaabAbbAbbAbabAbAbb", "aababababaBaBaBabaBB"}, {"aaaaabbabbabbabaabbb", "aaaabAbbAbbAbbabAbAb", "aabaBBababababaBaBaB"}, {"aaaaabbabbabbababaBB", "aaaaabAbbAbbAbbbaBaB", "aaabababababAbAbAbbb"}, {"aaaaabbabbabbababbaB", "aaaaabAbbAbbAbbbAbaB", "aabababababAbAbAbbAb"}, {"aaaaabbabbabbababbAb", "aaaabAbbAbbAbbbAbAAb", "aabaBABABABABaBaBaBB"}, {"aaaaabbabbabbababbAB", "aaaaabAbbAbbAbbbAbAB", "aabbABaBaBaBaBababab"}, {"aaaaabbabbabbababAbb", "aaaabAbbAbbAbbbAAbAb", "aabAbbaBaBaBaBababab"}, {"aaaaabbabbabbababABB", "aaaaabAbbAbbAbbbABaB", "aabababababAbAbAbbAB"}, {"aaaaabbabbabbabaBabb", "aaaabAbbAbbAbbaBabAb", "aabbaBababababaBaBaB"}, {"aaaaabbabbabbabaBAbb", "aaaabAbbAbbAbbaBAbAb", "aabAbAbAbAbabababbAB"}, {"aaaaabbabbabbabaBABB", "aaaaabAbbAbbAbbaBBaB", "aabababababAbAbAbbaB"}, {"aaaaabbabbabbabaBBab", "aaaabAbbAbbAbbaBaBab", "aaabbababababAbAbAbb"}, {"aaaaabbabbabbabaBBAb", "aaaabAbbAbbAbbaBaBAb", "aabbABababababaBaBaB"}, {"aaaaabbabbabbabaBBAB", "aaaaabAbbAbbAbbaBaBB", "aabaBaBaBaBaBABABABB"}, {"aaaaabbabbabbabbabaB", "aaaaabAbbAbbAbbAbbaB", "aabababababAbAbAbAbb"}, {"aaaaabbabbabbabbaBab", "aaaabAbbAbbAbbAbaBab", "aababababaBaBaBaBabb"}, {"aaaaabbabbabbabbbaab", "aaaabAbbAbbAbbAbAbab", "aababababaBaBaBaBBab"}, {"aaaaabbabbabbabbAbab", "aaaabAbbAbbAbbAbAAbb", "aababababaBaBaBaBBAB"}, {"aaaaabbabbabbabbABab", "aaaabAbbAbbAbbAbABab", "aababababaBaBaBaBBAb"}, {"aaaaabbabbabbabbABAb", "aaaabAbbAbbAbbAbABAb", "aabbaBABABABABaBaBaB"}, {"aaaaabbabbabbabbABAB", "aaaaabAbbAbbAbbAbABB", "aabbABABABABABaBaBaB"}, {"aaaaabbabbabbabAbbab", "aaaabAbbAbbAbbAAbAbb", "aababababaBaBaBaBABB"}, {"aaaaabbabbabbabABAbb", "aaaabAbbAbbAbbABAbAb", "aabbABABABABAbAbAbAb"}, {"aaaaabbabbabbabABABB", "aaaaabAbbAbbAbbABBaB", "aabababababAbAbAbABB"}, {"aaaaabbabbabbabABBab", "aaaabAbbAbbAbbABaBab", "aababababaBaBaBaBAbb"}, {"aaaaabbabbabbaBababb", "aaaabAbbAbbAbaBabbAb", "aabaBaBaBaBabababaBB"}, {"aaaaabbabbabbaBabbab", "aaaabAbbAbbAbaBabAbb", "aababababaBaBaBabbaB"}, {"aaaaabbabbabbaBAbbab", "aaaabAbbAbbAbaBAbAbb", "aababababaBaBaBabABB"}, {"aaaaabbabbabbaBABAbb", "aaaabAbbAbbAbaBBAbAb", "aabbABABABABAbAbAbAB"}, {"aaaaabbabbabbaBABABB", "aaaaabAbbAbbAbaBBBaB", "aabababababAbAbAbaBB"}, {"aaaaabbabbabbaBABBab", "aaaabAbbAbbAbaBBaBab", "aababababaBaBaBabAbb"}, {"aaaaabbabbabbaBBabab", "aaaabAbbAbbAbaBaBabb", "aaababababaBaBaBabbb"}, {"aaaaabbabbabbaBBAbab", "aaaabAbbAbbAbaBaBAbb", "aababababaBaBaBabbAB"}, {"aaaaabbabbabbaBBABab", "aaaabAbbAbbAbaBaBBab", "aababababaBaBaBabbAb"}, {"aaaaabbabbabbaBBABAb", "aaaabAbbAbbAbaBaBBAb", "aabbABaBaBaBaBABABAB"}, {"aaaaabbabbabbaBBABAB", "aaaaabAbbAbbAbaBaBBB", "aabbaBaBaBaBaBABABAB"}, {"aaaaabbabbabbbaababb", "aaaabAbbAbbAbAbabbAb", "aabaBaBaBaBabababbaB"}, {"aaaaabbabbabbbaabbab", "aaaabAbbAbbAbAbabAbb", "aababababaBaBaBBabaB"}, {"aaaaabbabbabbbabaabb", "aaaabAbbAbbAbAbbabAb", "aabaBababababaBaBaBB"}, {"aaaaabbabbabbbababaB", "aaaaabAbbAbbAbAbbbaB", "aaabbababababaBaBaBB"}, {"aaaaabbabbabbbababAb", "aaaabAbbAbbAbAbbbAAb", "aabbaBabAbAbAbAbabab"}, {"aaaaabbabbabbbababAB", "aaaaabAbbAbbAbAbbbAB", "aabbaBAbAbAbAbAbabab"}, {"aaaaabbabbabbbabaBab", "aaaabAbbAbbAbAbbaBab", "aababababaBaBaBBaabb"}, {"aaaaabbabbabbbabaBAb", "aaaabAbbAbbAbAbbaBAb", "aabbABabAbAbAbAbabab"}, {"aaaaabbabbabbbabaBAB", "aaaaabAbbAbbAbAbbaBB", "aabbABAbAbAbAbAbabab"}, {"aaaaabbabbabbbabbaab", "aaaabAbbAbbAbAbbAbab", "aababababaBaBaBBaBab"}, {"aaaaabbabbabbbabAbab", "aaaabAbbAbbAbAbbAAbb", "aababababaBaBaBBaBAB"}, {"aaaaabbabbabbbabABab", "aaaabAbbAbbAbAbbABab", "aababababaBaBaBBaBAb"}, {"aaaaabbabbabbbabABAb", "aaaabAbbAbbAbAbbABAb", "aabaBBabAbAbAbAbabab"}, {"aaaaabbabbabbbabABAB", "aaaaabAbbAbbAbAbbABB", "aabaBBAbAbAbAbAbabab"}, {"aaaaabbabbabbbaBabab", "aaaabAbbAbbAbAbaBabb", "aaababababaBaBaBBabb"}, {"aaaaabbabbabbbaBAbab", "aaaabAbbAbbAbAbaBAbb", "aababababaBaBaBBabAB"}, {"aaaaabbabbabbbaBABab", "aaaabAbbAbbAbAbaBBab", "aababababaBaBaBBabAb"}, {"aaaaabbabbabbbaBABAb", "aaaabAbbAbbAbAbaBBAb", "aabABABABABAbAbAbbAB"}, {"aaaaabbabbabbbaBABAB", "aaaaabAbbAbbAbAbaBBB", "aabAbAbAbAbABABABBAb"}, {"aaaaabbabbabbbbaabab", "aaaabAbbAbbAbAbAbabb", "aaababababaBaBaBBBab"}, {"aaaaabbabbabbbbabaab", "aaaabAbbAbbAbAbAbbab", "aaabbAbbAbAbAbAbabab"}, {"aaaaabbabbabbbAbabab", "aaaabAbbAbbAbAbAAbbb", "aaababababaBaBaBBBAB"}, {"aaaaabbabbabbbABabab", "aaaabAbbAbbAbAbABabb", "aaababababaBaBaBBBAb"}, {"aaaaabbabbabbbABAbab", "aaaabAbbAbbAbAbABAbb", "aaabbaBBABABABABaBaB"}, {"aaaaabbabbabbbABABab", "aaaabAbbAbbAbAbABBab", "aaabbABBABABABABaBaB"}, {"aaaaabbabbabbbABABAb", "aaaabAbbAbbAbAbABBAb", "aaabbbaBABABABABaBaB"}, {"aaaaabbabbabbbABABAB", "aaaaabAbbAbbAbAbABBB", "aaabbbABABABABABaBaB"}, {"aaaaabbabbabbAbababb", "aaaabAbbAbbAbAAbbbAb", "aabaBaBaBaBabababbAb"}, {"aaaaabbabbabbAbabbab", "aaaabAbbAbbAbAAbbAbb", "aababababaBaBaBBABaB"}, {"aaaaabbabbabbAbbabab", "aaaabAbbAbbAbAAbAbbb", "aaababababaBaBaBBABB"}, {"aaaaabbabbabbABababb", "aaaabAbbAbbAbABabbAb", "aabaBaBaBaBabababbAB"}, {"aaaaabbabbabbABabbab", "aaaabAbbAbbAbABabAbb", "aababababaBaBaBBAbaB"}, {"aaaaabbabbabbABAbabb", "aaaabAbbAbbAbABAbbAb", "aabbaBaBABABABABaBaB"}, {"aaaaabbabbabbABAbbab", "aaaabAbbAbbAbABAbAbb", "aababababaBaBaBBAABB"}, {"aaaaabbabbabbABABabb", "aaaabAbbAbbAbABBabAb", "aabbABaBABABABABaBaB"}, {"aaaaabbabbabbABABAbb", "aaaabAbbAbbAbABBAbAb", "aaabbABABABABAbAbAbb"}, {"aaaaabbabbabbABABABB", "aaaaabAbbAbbAbABBBaB", "aaabbAbAbAbAbABABABB"}, {"aaaaabbabbabbABABBab", "aaaabAbbAbbAbABBaBab", "aababababaBaBaBBAAbb"}, {"aaaaabbabbabbABABBAb", "aaaabAbbAbbAbABBaBAb", "aabaBAbAbAbAbABABABB"}, {"aaaaabbabbabbABABBAB", "aaaaabAbbAbbAbABBaBB", "aababAbAbAbAbABABABB"}, {"aaaaabbabbabbABBabab", "aaaabAbbAbbAbABaBabb", "aaababababaBaBaBBAbb"}, {"aaaaabbabbabbABBAbab", "aaaabAbbAbbAbABaBAbb", "aababababaBaBaBBAbAB"}, {"aaaaabbabbabbABBABab", "aaaabAbbAbbAbABaBBab", "aababababaBaBaBBAbAb"}, {"aaaaabbabbabbABBABAb", "aaaabAbbAbbAbABaBBAb", "aabAbbaBABABABABaBaB"}, {"aaaaabbabbabbABBABAB", "aaaaabAbbAbbAbABaBBB", "aabAbbABABABABABaBaB"}, {"aaaaabbabbabAbababbb", "aaaabAbbAbbAAbbbAbAb", "aabbaBaBaBaBabababAb"}, {"aaaaabbabbabAbabbbab", "aaaabAbbAbbAAbbAbAbb", "aababababaBaBaBABaBB"}, {"aaaaabbabbabAbbababb", "aaaabAbbAbbAAbAbbbAb", "aabaBaBaBaBabababAbb"}, {"aaaaabbabbabAbbabbab", "aaaabAbbAbbAAbAbbAbb", "aababababaBaBaBABBaB"}, {"aaaaabbabbabAbbbabab", "aaaabAbbAbbAAbAbAbbb", "aaababababaBaBaBABBB"}, {"aaaaabbabbabABababbb", "aaaabAbbAbbABabbAbAb", "aabbaBaBaBaBabababAB"}, {"aaaaabbabbabABabbbab", "aaaabAbbAbbABabAbAbb", "aababababaBaBaBAbaBB"}, {"aaaaabbabbabABAbabbb", "aaaabAbbAbbABAbbAbAb", "aabAbbABABABABAbAbAb"}, {"aaaaabbabbabABAbbabb", "aaaabAbbAbbABAbAbbAb", "aababAbAbAbAbababaBB"}, {"aaaaabbabbabABAbbbab", "aaaabAbbAbbABAbAbAbb", "aaabbAbAbAbAbababaBB"}, {"aaaaabbabbabABABabbb", "aaaabAbbAbbABBabAbAb", "aabAbAbAbAbababaBBAb"}, {"aaaaabbabbabABABAbbb", "aaaabAbbAbbABBAbAbAb", "aaabbbABABABABAbAbAb"}, {"aaaaabbabbabABABABBB", "aaaaabAbbAbbABBBaBaB", "aaabababababAbAbABBB"}, {"aaaaabbabbabABABBabb", "aaaabAbbAbbABBaBabAb", "aabbABAbAbAbAbABABAB"}, {"aaaaabbabbabABABBAbb", "aaaabAbbAbbABBaBAbAb", "aabaBBAbAbAbAbABABAB"}, {"aaaaabbabbabABABBABB", "aaaaabAbbAbbABBaBBaB", "aabababababAbAbABBaB"}, {"aaaaabbabbabABABBBab", "aaaabAbbAbbABBaBaBab", "aaabbababababAbAbABB"}, {"aaaaabbabbabABABBBAb", "aaaabAbbAbbABBaBaBAb", "aabbaBAbAbAbAbABABAB"}, {"aaaaabbabbabABABBBAB", "aaaaabAbbAbbABBaBaBB", "aabaBaBaBaBaBABABAbb"}, {"aaaaabbabbabABBababb", "aaaabAbbAbbABaBabbAb", "aabaBaBaBaBabababABB"}, {"aaaaabbabbabABBabbab", "aaaabAbbAbbABaBabAbb", "aababababaBaBaBAbbaB"}, {"aaaaabbabbabABBAbbab", "aaaabAbbAbbABaBAbAbb", "aababababaBaBaBAbABB"}, {"aaaaabbabbabABBABAbb", "aaaabAbbAbbABaBBAbAb", "aabbABABABABAbAbAbaB"}, {"aaaaabbabbabABBABABB", "aaaaabAbbAbbABaBBBaB", "aabababababAbAbABaBB"}, {"aaaaabbabbabABBABBab", "aaaabAbbAbbABaBBaBab", "aababababaBaBaBAbAbb"}, {"aaaaabbabbabABBBabab", "aaaabAbbAbbABaBaBabb", "aaababababaBaBaBAbbb"}, {"aaaaabbabbabABBBAbab", "aaaabAbbAbbABaBaBAbb", "aababababaBaBaBAbbAB"}, {"aaaaabbabbabABBBABab", "aaaabAbbAbbABaBaBBab", "aababababaBaBaBAbbAb"}, {"aaaaabbabbabABBBABAb", "aaaabAbbAbbABaBaBBAb", "aabbABaBaBaBaBABABAb"}, {"aaaaabbabbabABBBABAB", "aaaaabAbbAbbABaBaBBB", "aabbaBaBaBaBaBABABAb"}, {"aaaaabbabbaBabababbb", "aaaabAbbAbaBabbbAbAb", "aaabbaBaBaBaBababaBB"}, {"aaaaabbabbaBababbabb", "aaaabAbbAbaBabbAbbAb", "aababaBaBaBaBababaBB"}, {"aaaaabbabbaBababbbab", "aaaabAbbAbaBabbAbAbb", "aababababaBaBabbaaBB"}, {"aaaaabbabbaBabbababb", "aaaabAbbAbaBabAbbbAb", "aabaBaBaBaBababaBBab"}, {"aaaaabbabbaBabbabbab", "aaaabAbbAbaBabAbbAbb", "aababababaBaBabbaBaB"}, {"aaaaabbabbaBabbbabab", "aaaabAbbAbaBabAbAbbb", "aaababababaBaBabbaBB"}, {"aaaaabbabbaBAbababbb", "aaaabAbbAbaBAbbbAbAb", "aabbaBaBaBaBababaBAb"}, {"aaaaabbabbaBAbabbbab", "aaaabAbbAbaBAbbAbAbb", "aababababaBaBabABaBB"}, {"aaaaabbabbaBAbbababb", "aaaabAbbAbaBAbAbbbAb", "aabaBaBaBaBababaBAbb"}, {"aaaaabbabbaBAbbabbab", "aaaabAbbAbaBAbAbbAbb", "aababababaBaBabABBaB"}, {"aaaaabbabbaBAbbbabab", "aaaabAbbAbaBAbAbAbbb", "aaababababaBaBabABBB"}, {"aaaaabbabbaBABababbb", "aaaabAbbAbaBBabbAbAb", "aabbaBaBaBaBababaBAB"}, {"aaaaabbabbaBABabbbab", "aaaabAbbAbaBBabAbAbb", "aababababaBaBabAbaBB"}, {"aaaaabbabbaBABAbabbb", "aaaabAbbAbaBBAbbAbAb", "aabAbbABABABABAbAbAB"}, {"aaaaabbabbaBABAbbabb", "aaaabAbbAbaBBAbAbbAb", "aababAbAbAbAbababABB"}, {"aaaaabbabbaBABAbbbab", "aaaabAbbAbaBBAbAbAbb", "aaabbAbAbAbAbababABB"}, {"aaaaabbabbaBABABabbb", "aaaabAbbAbaBBBabAbAb", "aabAbAbAbAbababABBAb"}, {"aaaaabbabbaBABABAbbb", "aaaabAbbAbaBBBAbAbAb", "aaabbbABABABABAbAbAB"}, {"aaaaabbabbaBABABABBB", "aaaaabAbbAbaBBBBaBaB", "aaabababababAbAbaBBB"}, {"aaaaabbabbaBABABBabb", "aaaabAbbAbaBBBaBabAb", "aabbABAbAbAbAbABABAb"}, {"aaaaabbabbaBABABBAbb", "aaaabAbbAbaBBBaBAbAb", "aabaBBAbAbAbAbABABAb"}, {"aaaaabbabbaBABABBABB", "aaaaabAbbAbaBBBaBBaB", "aabababababAbAbaBBaB"}, {"aaaaabbabbaBABABBBab", "aaaabAbbAbaBBBaBaBab", "aaabbababababAbAbaBB"}, {"aaaaabbabbaBABABBBAb", "aaaabAbbAbaBBBaBaBAb", "aabbaBAbAbAbAbABABAb"}, {"aaaaabbabbaBABABBBAB", "aaaaabAbbAbaBBBaBaBB", "aabaBaBaBaBaBABABabb"}, {"aaaaabbabbaBABBababb", "aaaabAbbAbaBBaBabbAb", "aabaBaBaBaBababaBABB"}, {"aaaaabbabbaBABBabbab", "aaaabAbbAbaBBaBabAbb", "aababababaBaBabAbbaB"}, {"aaaaabbabbaBABBAbbab", "aaaabAbbAbaBBaBAbAbb", "aababababaBaBabAbABB"}, {"aaaaabbabbaBABBABAbb", "aaaabAbbAbaBBaBBAbAb", "aabbABABABABAbAbABaB"}, {"aaaaabbabbaBABBABABB", "aaaaabAbbAbaBBaBBBaB", "aabababababAbAbaBaBB"}, {"aaaaabbabbaBABBABBab", "aaaabAbbAbaBBaBBaBab", "aababababaBaBabAbAbb"}, {"aaaaabbabbaBABBBabab", "aaaabAbbAbaBBaBaBabb", "aaababababaBaBabAbbb"}, {"aaaaabbabbaBABBBAbab", "aaaabAbbAbaBBaBaBAbb", "aababababaBaBabAbbAB"}, {"aaaaabbabbaBABBBABab", "aaaabAbbAbaBBaBaBBab", "aababababaBaBabAbbAb"}, {"aaaaabbabbaBABBBABAb", "aaaabAbbAbaBBaBaBBAb", "aabbABaBaBaBaBABABab"}, {"aaaaabbabbaBABBBABAB", "aaaaabAbbAbaBBaBaBBB", "aabbaBaBaBaBaBABABab"}, {"aaaaabbabbaBBabababb", "aaaabAbbAbaBaBabbbAb", "aaabaBaBaBaBababaBBB"}, {"aaaaabbabbaBBababbab", "aaaabAbbAbaBaBabbAbb", "aaabbAbbababababAbAb"}, {"aaaaabbabbaBBabbabab", "aaaabAbbAbaBaBabAbbb", "aaababababaBaBabbbaB"}, {"aaaaabbabbaBBAbababb", "aaaabAbbAbaBaBAbbbAb", "aabaBaBaBaBababaBBAb"}, {"aaaaabbabbaBBAbabbab", "aaaabAbbAbaBaBAbbAbb", "aababababaBaBabbABaB"}, {"aaaaabbabbaBBAbbabab", "aaaabAbbAbaBaBAbAbbb", "aaababababaBaBabbABB"}, {"aaaaabbabbaBBABababb", "aaaabAbbAbaBaBBabbAb", "aabaBaBaBaBababaBBAB"}, {"aaaaabbabbaBBABabbab", "aaaabAbbAbaBaBBabAbb", "aababababaBaBabbAbaB"}, {"aaaaabbabbaBBABAbabb", "aaaabAbbAbaBaBBAbbAb", "aabbABABaBaBaBaBABAB"}, {"aaaaabbabbaBBABAbbab", "aaaabAbbAbaBaBBAbAbb", "aababababaBaBabbAABB"}, {"aaaaabbabbaBBABABabb", "aaaabAbbAbaBaBBBabAb", "aabbaBABaBaBaBaBABAB"}, {"aaaaabbabbaBBABABAbb", "aaaabAbbAbaBaBBBAbAb", "aaabbABABABABAbAbABB"}, {"aaaaabbabbaBBABABABB", "aaaaabAbbAbaBaBBBBaB", "aaabbAbAbAbAbABABAbb"}, {"aaaaabbabbaBBABABBab", "aaaabAbbAbaBaBBBaBab", "aababababaBaBabbAAbb"}, {"aaaaabbabbaBBABABBAb", "aaaabAbbAbaBaBBBaBAb", "aabaBAbAbAbAbABABAbb"}, {"aaaaabbabbaBBABABBAB", "aaaaabAbbAbaBaBBBaBB", "aababAbAbAbAbABABAbb"}, {"aaaaabbabbaBBABBabab", "aaaabAbbAbaBaBBaBabb", "aaababababaBaBabbAbb"}, {"aaaaabbabbaBBABBAbab", "aaaabAbbAbaBaBBaBAbb", "aababababaBaBabbAbAB"}, {"aaaaabbabbaBBABBABab", "aaaabAbbAbaBaBBaBBab", "aababababaBaBabbAbAb"}, {"aaaaabbabbaBBABBABAb", "aaaabAbbAbaBaBBaBBAb", "aababbABaBaBaBaBABAB"}, {"aaaaabbabbaBBABBABAB", "aaaaabAbbAbaBaBBaBBB", "aababbaBaBaBaBaBABAB"}, {"aaaaabbabbaBBBababab", "aaaababababaBaBabbbb", "aaaabAbbAbaBaBaBabbb"}, {"aaaaabbabbaBBBAbabab", "aaaabAbbAbaBaBaBAbbb", "aaababababaBaBabbbAB"}, {"aaaaabbabbaBBBABabab", "aaaabAbbAbaBaBaBBabb", "aaababababaBaBabbbAb"}, {"aaaaabbabbaBBBABAbab", "aaaabAbbAbaBaBaBBAbb", "aaabbABBaBaBaBaBABAB"}, {"aaaaabbabbaBBBABABab", "aaaabAbbAbaBaBaBBBab", "aaabbaBBaBaBaBaBABAB"}, {"aaaaabbabbaBBBABABAb", "aaaabAbbAbaBaBaBBBAb", "aaabbbABaBaBaBaBABAB"}, {"aaaaabbabbaBBBABABAB", "aaaaabAbbAbaBaBaBBBB", "aaabbbaBaBaBaBaBABAB"}, {"aaaaabbabbbaabababbb", "aaaabAbbAbAbabbbAbAb", "aaabbaBaBaBaBababbaB"}, {"aaaaabbabbbaababbabb", "aaaabAbbAbAbabbAbbAb", "aababaBaBaBaBababbaB"}, {"aaaaabbabbbaababbbab", "aaaabAbbAbAbabbAbAbb", "aababababaBaBBabaaBB"}, {"aaaaabbabbbaabbababb", "aaaabAbbAbAbabAbbbAb", "aabaBaBaBaBababbaBab"}, {"aaaaabbabbbaabbabbab", "aaaabAbbAbAbabAbbAbb", "aababababaBaBBabaBaB"}, {"aaaaabbabbbaabbbabab", "aaaabAbbAbAbabAbAbbb", "aaababababaBaBBabaBB"}, {"aaaaabbabbbabaababbb", "aaaabAbbAbAbbabbAbAb", "aabaaBBababababaBaBB"}, {"aaaaabbabbbabaabbabb", "aaaabAbbAbAbbabAbbAb", "aabaBaBababababaBaBB"}, {"aaaaabbabbbabaabbbab", "aaaabAbbAbAbbabAbAbb", "aababababaBaBBaabaBB"}, {"aaaaabbabbbababaabbb", "aaaabAbbAbAbbbabAbAb", "aaabaBBababababaBaBB"}, {"aaaaabbabbbabababaBB", "aaaaabAbbAbAbbbbaBaB", "aaaabbbababababaBaBB"}, {"aaaaabbabbbabababbaB", "aaaaabAbbAbAbbbbAbaB", "aaabaBBaBaBaBaBababb"}, {"aaaaabbabbbabababbAb", "aaaababbaBBBBabaabab", "aaabbAbaBaBaBaBababb"}, {"aaaaabbabbbabababbAB", "aaaaabAbbAbAbbbbAbAB", "aaabbABaBaBaBaBababb"}, {"aaaaabbabbbabababAbb", "aaaabbabaBBBBabaabab", "aaabAbbaBaBaBaBababb"}, {"aaaaabbabbbabababABB", "aaaaabAbbAbAbbbbABaB", "aaabABBaBaBaBaBababb"}, {"aaaaabbabbbababaBabb", "aaaabAbbAbAbbbaBabAb", "aaabbaBababababaBaBB"}, {"aaaaabbabbbababaBAbb", "aaaabAbbAbAbbbaBAbAb", "aaabABBababababaBaBB"}, {"aaaaabbabbbababaBABB", "aaaaabAbbAbAbbbaBBaB", "aaabAbbababababaBaBB"}, {"aaaaabbabbbababaBBab", "aaaabAbbAbAbbbaBaBab", "aaabbababababAbAAbbb"}, {"aaaaabbabbbababaBBAb", "aaaabAbbAbAbbbaBaBAb", "aaabbABababababaBaBB"}, {"aaaaabbabbbababaBBAB", "aaaaabAbbAbAbbbaBaBB", "aaabbAbababababaBaBB"}, {"aaaaabbabbbababbaabb", "aaaabAbbAbAbbbAbabAb", "aabaBabaBaBaBaBababb"}, {"aaaaabbabbbababbabaB", "aaaaabAbbAbAbbbAbbaB", "aabaaBBaBaBaBaBababb"}, {"aaaaabbabbbababbabAb", "aaaabAbbAbAbbbAbbAAb", "aababAbaBaBaBaBababb"}, {"aaaaabbabbbababbabAB", "aaaaabAbbAbAbbbAbbAB", "aababABaBaBaBaBababb"}, {"aaaaabbabbbababbaBab", "aaaabAbbAbAbbbAbaBab", "aababababaBaBBaaBabb"}, {"aaaaabbabbbababbaBAb", "aaaabAbbAbAbbbAbaBAb", "aabaBAbaBaBaBaBababb"}, {"aaaaabbabbbababbaBAB", "aaaaabAbbAbAbbbAbaBB", "aabaBABaBaBaBaBababb"}, {"aaaaabbabbbababbbaab", "aaaabAbbAbAbbbAbAbab", "aababababaBaBBaaBBab"}, {"aaaaabbabbbababbAbab", "aaaabAbbAbAbbbAbAAbb", "aababababaBaBBaaBBAB"}, {"aaaaabbabbbababbABab", "aaaabAbbAbAbbbAbABab", "aababababaBaBBaaBBAb"}, {"aaaaabbabbbababbABAb", "aaaabAbbAbAbbbAbABAb", "aabbaaBBabAbAbAbAbab"}, {"aaaaabbabbbababbABAB", "aaaaabAbbAbAbbbAbABB", "aabbaaBBAbAbAbAbAbab"}, {"aaaaabbabbbababAbabb", "aaaabAbbAbAbbbAAbbAb", "aabbaBababAbAbAbAbab"}, {"aaaaabbabbbababAbbab", "aaaabAbbAbAbbbAAbAbb", "aababababaBaBBaaBABB"}, {"aaaaabbabbbababABabb", "aaaabAbbAbAbbbABabAb", "aabbaBAbabAbAbAbAbab"}, {"aaaaabbabbbababABAbb", "aaaabAbbAbAbbbABAbAb", "aabbaBBaabAbAbAbAbab"}, {"aaaaabbabbbababABABB", "aaaaabAbbAbAbbbABBaB", "aabababababAbAAbbABB"}, {"aaaaabbabbbababABBab", "aaaabAbbAbAbbbABaBab", "aababababaBaBBaaBAbb"}, {"aaaaabbabbbababABBAb", "aaaabAbbAbAbbbABaBAb", "aabbaBABabAbAbAbAbab"}, {"aaaaabbabbbababABBAB", "aaaaabAbbAbAbbbABaBB", "aabbaBABAbAbAbAbAbab"}, {"aaaaabbabbbabaBababb", "aaaabAbbAbAbbaBabbAb", "aabaBaBaBaBababbaaBB"}, {"aaaaabbabbbabaBabbab", "aaaabAbbAbAbbaBabAbb", "aababababaBaBBaabbaB"}, {"aaaaabbabbbabaBAbabb", "aaaabAbbAbAbbaBAbbAb", "aabbABababAbAbAbAbab"}, {"aaaaabbabbbabaBAbbab", "aaaabAbbAbAbbaBAbAbb", "aababababaBaBBaabABB"}, {"aaaaabbabbbabaBABabb", "aaaabAbbAbAbbaBBabAb", "aabbABAbabAbAbAbAbab"}, {"aaaaabbabbbabaBABAbb", "aaaabAbbAbAbbaBBAbAb", "aabbABABABABAbAbbAAB"}, {"aaaaabbabbbabaBABABB", "aaaaabAbbAbAbbaBBBaB", "aabababababAbAAbbaBB"}, {"aaaaabbabbbabaBABBab", "aaaabAbbAbAbbaBBaBab", "aababababaBaBBaabAbb"}, {"aaaaabbabbbabaBABBAb", "aaaabAbbAbAbbaBBaBAb", "aabbABABabAbAbAbAbab"}, {"aaaaabbabbbabaBABBAB", "aaaaabAbbAbAbbaBBaBB", "aabbABABAbAbAbAbAbab"}, {"aaaaabbabbbabaBBabab", "aaaabAbbAbAbbaBaBabb", "aaababababaBaBBaabbb"}, {"aaaaabbabbbabaBBAbab", "aaaabAbbAbAbbaBaBAbb", "aababababaBaBBaabbAB"}, {"aaaaabbabbbabaBBABab", "aaaabAbbAbAbbaBaBBab", "aababababaBaBBaabbAb"}, {"aaaaabbabbbabaBBABAb", "aaaabAbbAbAbbaBaBBAb", "aabbAABababababaBaBB"}, {"aaaaabbabbbabaBBABAB", "aaaaabAbbAbAbbaBaBBB", "aabbaBaBaBaBaBABAABB"}, {"aaaaabbabbbabbaababb", "aaaabAbbAbAbbAbabbAb", "aababAbbabAbAbAbAbab"}, {"aaaaabbabbbabbaabbab", "aaaabAbbAbAbbAbabAbb", "aababababaBaBBaBabaB"}, {"aaaaabbabbbabbabaabb", "aaaabAbbAbAbbAbbabAb", "aababbAbabAbAbAbAbab"}, {"aaaaabbabbbabbababaB", "aaaaabAbbAbAbbAbbbaB", "aaabbababababaBaBBaB"}, {"aaaaabbabbbabbababAb", "aaaabAbbAbAbbAbbbAAb", "aababbaBabAbAbAbAbab"}, {"aaaaabbabbbabbababAB", "aaaaabAbbAbAbbAbbbAB", "aababbaBAbAbAbAbAbab"}, {"aaaaabbabbbabbabaBab", "aaaabAbbAbAbbAbbaBab", "aababababaBaBBaBaabb"}, {"aaaaabbabbbabbabaBAb", "aaaabAbbAbAbbAbbaBAb", "aababbABabAbAbAbAbab"}, {"aaaaabbabbbabbabaBAB", "aaaaabAbbAbAbbAbbaBB", "aababbABAbAbAbAbAbab"}, {"aaaaabbabbbabbabbaab", "aaaabAbbAbAbbAbbAbab", "aababababaBaBBaBaBab"}, {"aaaaabbabbbabbabAbab", "aaaabAbbAbAbbAbbAAbb", "aababababaBaBBaBaBAB"}, {"aaaaabbabbbabbabABab", "aaaabAbbAbAbbAbbABab", "aababababaBaBBaBaBAb"}, {"aaaaabbabbbabbabABAb", "aaaabAbbAbAbbAbbABAb", "aababaBBabAbAbAbAbab"}, {"aaaaabbabbbabbabABAB", "aaaaabAbbAbAbbAbbABB", "aababaBBAbAbAbAbAbab"}, {"aaaaabbabbbabbaBabab", "aaaabAbbAbAbbAbaBabb", "aaababababaBaBBaBabb"}, {"aaaaabbabbbabbaBAbab", "aaaabAbbAbAbbAbaBAbb", "aababababaBaBBaBabAB"}, {"aaaaabbabbbabbaBABab", "aaaabAbbAbAbbAbaBBab", "aababababaBaBBaBabAb"}, {"aaaaabbabbbabbaBABAb", "aaaabAbbAbAbbAbaBBAb", "aababABBabAbAbAbAbab"}, {"aaaaabbabbbabbaBABAB", "aaaaabAbbAbAbbAbaBBB", "aababABBAbAbAbAbAbab"}, {"aaaaabbabbbabbbaabab", "aaaabAbbAbAbbAbAbabb", "aaababababaBaBBaBBab"}, {"aaaaabbabbbabbbabaab", "aaaabAbbAbAbbAbAbbab", "aabaababababaBaBBaBB"}, {"aaaaabbabbbabbAbabab", "aaaabAbbAbAbbAbAAbbb", "aaababababaBaBBaBBAB"}, {"aaaaabbabbbabbABabab", "aaaabAbbAbAbbAbABabb", "aaababababaBaBBaBBAb"}, {"aaaaabbabbbabbABAbab", "aaaabAbbAbAbbAbABAbb", "aabaaBBabbAbAbAbAbab"}, {"aaaaabbabbbabbABABab", "aaaabAbbAbAbbAbABBab", "aabaaBBAbbAbAbAbAbab"}, {"aaaaabbabbbabbABABAb", "aaaabAbbAbAbbAbABBAb", "aaabABABABABAbAbbAbb"}, {"aaaaabbabbbabbABABAB", "aaaaabAbbAbAbbAbABBB", "aaabAbAbAbAbABABBABB"}, {"aaaaabbabbbabAbababb", "aaaabAbbAbAbbAAbbbAb", "aabaBabbabAbAbAbAbab"}, {"aaaaabbabbbabAbabbab", "aaaabAbbAbAbbAAbbAbb", "aababababaBaBBaBABaB"}, {"aaaaabbabbbabAbbabab", "aaaabAbbAbAbbAAbAbbb", "aaababababaBaBBaBABB"}, {"aaaaabbabbbabABababb", "aaaabAbbAbAbbABabbAb", "aabaBaBaBaBababbabAB"}, {"aaaaabbabbbabABabbab", "aaaabAbbAbAbbABabAbb", "aababababaBaBBaBAbaB"}, {"aaaaabbabbbabABAbabb", "aaaabAbbAbAbbABAbbAb", "aabaBBababAbAbAbAbab"}, {"aaaaabbabbbabABAbbab", "aaaabAbbAbAbbABAbAbb", "aababababaBaBBaBAABB"}, {"aaaaabbabbbabABABabb", "aaaabAbbAbAbbABBabAb", "aabaBBAbabAbAbAbAbab"}, {"aaaaabbabbbabABABAbb", "aaaabAbbAbAbbABBAbAb", "aaabbABABABABAbAbbAb"}, {"aaaaabbabbbabABABABB", "aaaaabAbbAbAbbABBBaB", "aaabbAbAbAbAbABABBAB"}, {"aaaaabbabbbabABABBab", "aaaabAbbAbAbbABBaBab", "aababababaBaBBaBAAbb"}, {"aaaaabbabbbabABABBAb", "aaaabAbbAbAbbABBaBAb", "aabaBAbAbAbAbABABBAB"}, {"aaaaabbabbbabABABBAB", "aaaaabAbbAbAbbABBaBB", "aababAbAbAbAbABABBAB"}, {"aaaaabbabbbabABBabab", "aaaabAbbAbAbbABaBabb", "aaababababaBaBBaBAbb"}, {"aaaaabbabbbabABBAbab", "aaaabAbbAbAbbABaBAbb", "aababababaBaBBaBAbAB"}, {"aaaaabbabbbabABBABab", "aaaabAbbAbAbbABaBBab", "aababababaBaBBaBAbAb"}, {"aaaaabbabbbabABBABAb", "aaaabAbbAbAbbABaBBAb", "aabaBABBabAbAbAbAbab"}, {"aaaaabbabbbabABBABAB", "aaaaabAbbAbAbbABaBBB", "aabaBABBAbAbAbAbAbab"}, {"aaaaabbabbbaBabababb", "aaaabAbbAbAbaBabbbAb", "aaabaBaBaBaBababbaBB"}, {"aaaaabbabbbaBababbab", "aaaabAbbAbAbaBabbAbb", "aabaaBaBaBaBababbaBB"}, {"aaaaabbabbbaBabbabab", "aaaabAbbAbAbaBabAbbb", "aaababababaBaBBabbaB"}, {"aaaaabbabbbaBAbababb", "aaaabAbbAbAbaBAbbbAb", "aabaBaBaBaBababbaBAb"}, {"aaaaabbabbbaBAbabbab", "aaaabAbbAbAbaBAbbAbb", "aababababaBaBBabABaB"}, {"aaaaabbabbbaBAbbabab", "aaaabAbbAbAbaBAbAbbb", "aaababababaBaBBabABB"}, {"aaaaabbabbbaBABababb", "aaaabAbbAbAbaBBabbAb", "aabaBaBaBaBababbaBAB"}, {"aaaaabbabbbaBABabbab", "aaaabAbbAbAbaBBabAbb", "aababababaBaBBabAbaB"}, {"aaaaabbabbbaBABAbabb", "aaaabAbbAbAbaBBAbbAb", "aabAbABABABABAbAbbAB"}, {"aaaaabbabbbaBABAbbab", "aaaabAbbAbAbaBBAbAbb", "aababababaBaBBabAABB"}, {"aaaaabbabbbaBABABabb", "aaaabAbbAbAbaBBBabAb", "aabABAbAbAbAbABABBAb"}, {"aaaaabbabbbaBABABAbb", "aaaabAbbAbAbaBBBAbAb", "aaabbABABABABAbAbbAB"}, {"aaaaabbabbbaBABABABB", "aaaaabAbbAbAbaBBBBaB", "aaabbAbAbAbAbABABBAb"}, {"aaaaabbabbbaBABABBab", "aaaabAbbAbAbaBBBaBab", "aababababaBaBBabAAbb"}, {"aaaaabbabbbaBABABBAb", "aaaabAbbAbAbaBBBaBAb", "aabaBAbAbAbAbABABBAb"}, {"aaaaabbabbbaBABABBAB", "aaaaabAbbAbAbaBBBaBB", "aababAbAbAbAbABABBAb"}, {"aaaaabbabbbaBABBabab", "aaaabAbbAbAbaBBaBabb", "aaababababaBaBBabAbb"}, {"aaaaabbabbbaBABBAbab", "aaaabAbbAbAbaBBaBAbb", "aababababaBaBBabAbAB"}, {"aaaaabbabbbaBABBABab", "aaaabAbbAbAbaBBaBBab", "aababababaBaBBabAbAb"}, {"aaaaabbabbbaBABBABAb", "aaaabAbbAbAbaBBaBBAb", "aabABABABABAbAbbABaB"}, {"aaaaabbabbbaBABBABAB", "aaaaabAbbAbAbaBBaBBB", "aabAbAbAbAbABABBAbab"}, {"aaaaabbabbbaBBababab", "aaaababababaBaBBabbb", "aaaabAbbAbAbaBaBabbb"}, {"aaaaabbabbbaBBAbabab", "aaaabAbbAbAbaBaBAbbb", "aaababababaBaBBabbAB"}, {"aaaaabbabbbaBBABabab", "aaaabAbbAbAbaBaBBabb", "aaababababaBaBBabbAb"}, {"aaaaabbabbbaBBABAbab", "aaaabAbbAbAbaBaBBAbb", "aababababaBaBBabbAAB"}, {"aaaaabbabbbaBBABABab", "aaaabAbbAbAbaBaBBBab", "aababababaBaBBabbAAb"}, {"aaaaabbabbbaBBABABAb", "aaaabAbbAbAbaBaBBBAb", "aaabABABABABAbAbbABB"}, {"aaaaabbabbbaBBABABAB", "aaaaabAbbAbAbaBaBBBB", "aaabAbAbAbAbABABBAbb"}, {"aaaaabbabbbbaabababb", "aaaabAbbAbAbAbabbbAb", "aaabaBaBaBaBababbbaB"}, {"aaaaabbabbbbaababbab", "aaaabAbbAbAbAbabbAbb", "aaabAbbabbAbAbAbAbab"}, {"aaaaabbabbbbaabbabab", "aaaabAbbAbAbAbabAbbb", "aaababababaBaBBBabaB"}, {"aaaaabbabbbbabaababb", "aaaabAbbAbAbAbbabbAb", "aaabbAbbabAbAbAbAbab"}, {"aaaaabbabbbbabaabbab", "aaaabAbbAbAbAbbabAbb", "aaabbAbabbAbAbAbAbab"}, {"aaaaabbabbbbababaabb", "aaaabAbbAbAbAbbbabAb", "aaabaBababababaBaBBB"}, {"aaaaabbabbbbabababaB", "aaaaabAbbAbAbAbbbbaB", "aaaabbababababaBaBBB"}, {"aaaaabbabbbbabababAb", "aaaabbaBBBBabaababab", "aaabbbaBabAbAbAbAbab"}, {"aaaaabbabbbbabababAB", "aaaaabAbbAbAbAbbbbAB", "aaabbbaBAbAbAbAbAbab"}, {"aaaaabbabbbbababaBab", "aaaabAbbAbAbAbbbaBab", "aaabbaababababaBaBBB"}, {"aaaaabbabbbbababaBAb", "aaaabAbbAbAbAbbbaBAb", "aaabbbABabAbAbAbAbab"}, {"aaaaabbabbbbababaBAB", "aaaaabAbbAbAbAbbbaBB", "aaabbbABAbAbAbAbAbab"}, {"aaaaabbabbbbababbaab", "aaaabAbbAbAbAbbbAbab", "aaabbabAbbAbAbAbAbab"}, {"aaaaabbabbbbababAbab", "aaaabAbbAbAbAbbbAAbb", "aaabbaBabbAbAbAbAbab"}, {"aaaaabbabbbbababABab", "aaaabAbbAbAbAbbbABab", "aaabbaBAbbAbAbAbAbab"}, {"aaaaabbabbbbababABAb", "aaaabAbbAbAbAbbbABAb", "aaabbaBBabAbAbAbAbab"}, {"aaaaabbabbbbababABAB", "aaaaabAbbAbAbAbbbABB", "aaabbaBBAbAbAbAbAbab"}, {"aaaaabbabbbbabaBabab", "aaaabAbbAbAbAbbaBabb", "aaababababaBaBBBaabb"}, {"aaaaabbabbbbabaBAbab", "aaaabAbbAbAbAbbaBAbb", "aaabbABabbAbAbAbAbab"}, {"aaaaabbabbbbabaBABab", "aaaabAbbAbAbAbbaBBab", "aaabbABAbbAbAbAbAbab"}, {"aaaaabbabbbbabaBABAb", "aaaabAbbAbAbAbbaBBAb", "aaabbABBabAbAbAbAbab"}, {"aaaaabbabbbbabaBABAB", "aaaaabAbbAbAbAbbaBBB", "aaabbABBAbAbAbAbAbab"}, {"aaaaabbabbbbabbaabab", "aaaabAbbAbAbAbbAbabb", "aaababababaBaBBBaBab"}, {"aaaaabbabbbbabbabaab", "aaaabAbbAbAbAbbAbbab", "aaababbAbbAbAbAbAbab"}, {"aaaaabbabbbbabAbabab", "aaaabAbbAbAbAbbAAbbb", "aaababababaBaBBBaBAB"}, {"aaaaabbabbbbabABabab", "aaaabAbbAbAbAbbABabb", "aaababababaBaBBBaBAb"}, {"aaaaabbabbbbabABAbab", "aaaabAbbAbAbAbbABAbb", "aaabaBBabbAbAbAbAbab"}, {"aaaaabbabbbbabABABab", "aaaabAbbAbAbAbbABBab", "aaabaBBAbbAbAbAbAbab"}, {"aaaaabbabbbbabABABAb", "aaaabAbbAbAbAbbABBAb", "aaabaBBBabAbAbAbAbab"}, {"aaaaabbabbbbabABABAB", "aaaaabAbbAbAbAbbABBB", "aaabaBBBAbAbAbAbAbab"}, {"aaaaabbabbbbaBababab", "aaaababababaBaBBBabb", "aaaabAbbAbAbAbaBabbb"}, {"aaaaabbabbbbaBAbabab", "aaaabAbbAbAbAbaBAbbb", "aaababababaBaBBBabAB"}, {"aaaaabbabbbbaBABabab", "aaaabAbbAbAbAbaBBabb", "aaababababaBaBBBabAb"}, {"aaaaabbabbbbaBABAbab", "aaaabAbbAbAbAbaBBAbb", "aaabABBabbAbAbAbAbab"}, {"aaaaabbabbbbaBABABab", "aaaabAbbAbAbAbaBBBab", "aaabABBAbbAbAbAbAbab"}, {"aaaaabbabbbbaBABABAb", "aaaabAbbAbAbAbaBBBAb", "aaabABABABABAbAbbbAB"}, {"aaaaabbabbbbaBABABAB", "aaaaabAbbAbAbAbaBBBB", "aaabAbAbAbAbABABBBAb"}, {"aaaaabbabbbbAbababab", "aaaababababaBaBBBBAB", "aaaabbbbaBaaBaBaBaBB"}, {"aaaaabbabbbbABababab", "aaaababababaBaBBBBAb", "aaaabAbbAbAbAbABabbb"}, {"aaaaabbabbbbABAbabab", "aaaabbaBBBABABABABaB", "aaaabAbbAbAbAbABAbbb"}, {"aaaaabbabbbbABABabab", "aaaabbABBBABABABABaB", "aaaabAbbAbAbAbABBabb"}, {"aaaaabbabbbbABABAbab", "aaaabbbaBBABABABABaB", "aaaabAbbAbAbAbABBAbb"}, {"aaaaabbabbbbABABABab", "aaaabbbABBABABABABaB", "aaaabAbbAbAbAbABBBab"}, {"aaaaabbabbbbABABABAb", "aaaabbbbaBABABABABaB", "aaaabAbbAbAbAbABBBAb"}, {"aaaaabbabbbbABABABAB", "aaaaabAbbAbAbAbABBBB", "aaaabbbbABABABABABaB"}, {"aaaaabbabbbAbabababb", "aaaabaBBBBabaabababb", "aaabaBaBaBaBababbbAb"}, {"aaaaabbabbbAbababbab", "aaaabAbbAbAbAAbbbAbb", "aaabaBBaBBABABABABaB"}, {"aaaaabbabbbAbabbabab", "aaaabAbbAbAbAAbbAbbb", "aaababababaBaBBBABaB"}, {"aaaaabbabbbAbbababab", "aaaababababaBaBBBABB", "aaaabbbbaBaaBaBaBBaB"}, {"aaaaabbabbbABabababb", "aaaabAbbAbAbABabbbAb", "aaabaBaBaBaBababbbAB"}, {"aaaaabbabbbABababbab", "aaaabAbbAbAbABabbAbb", "aaabABBaBBABABABABaB"}, {"aaaaabbabbbABabbabab", "aaaabAbbAbAbABabAbbb", "aaababababaBaBBBAbaB"}, {"aaaaabbabbbABAbababb", "aaaabAbbAbAbABAbbbAb", "aaabbaBBaBABABABABaB"}, {"aaaaabbabbbABAbabbab", "aaaabAbbAbAbABAbbAbb", "aaabbaBaBBABABABABaB"}, {"aaaaabbabbbABAbbabab", "aaaabAbbAbAbABAbAbbb", "aaababababaBaBBBAABB"}, {"aaaaabbabbbABABababb", "aaaabAbbAbAbABBabbAb", "aaabbABBaBABABABABaB"}, {"aaaaabbabbbABABabbab", "aaaabAbbAbAbABBabAbb", "aaabbABaBBABABABABaB"}, {"aaaaabbabbbABABAbabb", "aaaabAbbAbAbABBAbbAb", "aaabbbaBaBABABABABaB"}, {"aaaaabbabbbABABAbbab", "aaaabAbbAbAbABBAbAbb", "aaabbbaaBBABABABABaB"}, {"aaaaabbabbbABABABabb", "aaaabAbbAbAbABBBabAb", "aaabbbABaBABABABABaB"}, {"aaaaabbabbbABABABAbb", "aaaabbABABABABAbAbbb", "aaaabAbbAbAbABBBAbAb"}, {"aaaaabbabbbABABABABB", "aaaaabAbbAbAbABBBBaB", "aaaabbAbAbAbAbABABBB"}, {"aaaaabbabbbABABABBab", "aaaabAbbAbAbABBBaBab", "aaabbbAABBABABABABaB"}, {"aaaaabbabbbABABABBAb", "aaaabAbbAbAbABBBaBAb", "aaabaBAbAbAbAbABABBB"}, {"aaaaabbabbbABABABBAB", "aaaaabAbbAbAbABBBaBB", "aaababAbAbAbAbABABBB"}, {"aaaaabbabbbABABBabab", "aaaabAbbAbAbABBaBabb", "aaababababaBaBBBAAbb"}, {"aaaaabbabbbABABBAbab", "aaaabAbbAbAbABBaBAbb", "aaabbAbaBBABABABABaB"}, {"aaaaabbabbbABABBABab", "aaaabAbbAbAbABBaBBab", "aaabbAbABBABABABABaB"}, {"aaaaabbabbbABABBABAb", "aaaabAbbAbAbABBaBBAb", "aaabbAbbaBABABABABaB"}, {"aaaaabbabbbABABBABAB", "aaaaabAbbAbAbABBaBBB", "aaabbAbbABABABABABaB"}, {"aaaaabbabbbABBababab", "aaaababababaBaBBBAbb", "aaaabAbbAbAbABaBabbb"}, {"aaaaabbabbbABBAbabab", "aaaabAbbAbAbABaBAbbb", "aaababababaBaBBBAbAB"}, {"aaaaabbabbbABBABabab", "aaaabAbbAbAbABaBBabb", "aaababababaBaBBBAbAb"}, {"aaaaabbabbbABBABAbab", "aaaabAbbAbAbABaBBAbb", "aaabAbbaBBABABABABaB"}, {"aaaaabbabbbABBABABab", "aaaabAbbAbAbABaBBBab", "aaabAbbABBABABABABaB"}, {"aaaaabbabbbABBABABAb", "aaaabAbbAbAbABaBBBAb", "aaabAbbbaBABABABABaB"}, {"aaaaabbabbbABBABABAB", "aaaaabAbbAbAbABaBBBB", "aaabAbbbABABABABABaB"}, {"aaaaabbabbAbabababbb", "aaaababaBBBBabaababb", "aaabbaBaBaBaBababbAb"}, {"aaaaabbabbAbababbabb", "aaaabAbbAbAAbbbAbbAb", "aababaBaBaBaBababbAb"}, {"aaaaabbabbAbababbbab", "aaaabAbbAbAAbbbAbAbb", "aababababaBaBBABaaBB"}, {"aaaaabbabbAbabbababb", "aaaabAbbAbAAbbAbbbAb", "aabaBaBaBaBababbAbab"}, {"aaaaabbabbAbabbabbab", "aaaabAbbAbAAbbAbbAbb", "aababababaBaBBABaBaB"}, {"aaaaabbabbAbabbbabab", "aaaabAbbAbAAbbAbAbbb", "aaababababaBaBBABaBB"}, {"aaaaabbabbAbbabababb", "aaaabaBBBBabaababbab", "aaabaBaBaBaBababbAbb"}, {"aaaaabbabbAbbababbab", "aaaabAbbAbAAbAbbbAbb", "aabaaBaBaBaBababbAbb"}, {"aaaaabbabbAbbabbabab", "aaaabAbbAbAAbAbbAbbb", "aaababababaBaBBABBaB"}, {"aaaaabbabbAbbbababab", "aaaababababaBaBBABBB", "aaaabbbbaBaaBaBBaBaB"}, {"aaaaabbabbABabababbb", "aaaabAbbAbABabbbAbAb", "aaabbaBaBaBaBababbAB"}, {"aaaaabbabbABababbabb", "aaaabAbbAbABabbAbbAb", "aababaBaBaBaBababbAB"}, {"aaaaabbabbABababbbab", "aaaabAbbAbABabbAbAbb", "aababababaBaBBAbaaBB"}, {"aaaaabbabbABabbababb", "aaaabAbbAbABabAbbbAb", "aabaBaBaBaBababbABab"}, {"aaaaabbabbABabbabbab", "aaaabAbbAbABabAbbAbb", "aababababaBaBBAbaBaB"}, {"aaaaabbabbABabbbabab", "aaaabAbbAbABabAbAbbb", "aaababababaBaBBAbaBB"}, {"aaaaabbabbABAbababbb", "aaaabAbbAbABAbbbAbAb", "aabbaBaBaBaBababbAAb"}, {"aaaaabbabbABAbabbabb", "aaaabAbbAbABAbbAbbAb", "aabbaBaBaBABABABABaB"}, {"aaaaabbabbABAbabbbab", "aaaabAbbAbABAbbAbAbb", "aababababaBaBBAABaBB"}, {"aaaaabbabbABAbbababb", "aaaabAbbAbABAbAbbbAb", "aabaBaBaBaBababbAAbb"}, {"aaaaabbabbABAbbabbab", "aaaabAbbAbABAbAbbAbb", "aababababaBaBBAABBaB"}, {"aaaaabbabbABAbbbabab", "aaaabAbbAbABAbAbAbbb", "aaababababaBaBBAABBB"}, {"aaaaabbabbABABababbb", "aaaabAbbAbABBabbAbAb", "aabbaBaBaBaBababbAAB"}, {"aaaaabbabbABABabbabb", "aaaabAbbAbABBabAbbAb", "aabbABaBaBABABABABaB"}, {"aaaaabbabbABABabbbab", "aaaabAbbAbABBabAbAbb", "aababababaBaBBAAbaBB"}, {"aaaaabbabbABABAbabbb", "aaaabAbbAbABBAbbAbAb", "aaabAbbABABABABAbAbb"}, {"aaaaabbabbABABAbbabb", "aaaabAbbAbABBAbAbbAb", "aaabbAbABABABABAbAbb"}, {"aaaaabbabbABABAbbbab", "aaaabAbbAbABBAbAbAbb", "aaabbbAABABABABAbAbb"}, {"aaaaabbabbABABABabbb", "aaaabAbbAbABBBabAbAb", "aaabABBAbAbAbAbABABB"}, {"aaaaabbabbABABABAbbb", "aaaabbbABABABABAbAbb", "aaaabAbbAbABBBAbAbAb"}, {"aaaaabbabbABABABABBB", "aaaaabAbbAbABBBBaBaB", "aaaabbbAbAbAbAbABABB"}, {"aaaaabbabbABABABBabb", "aaaabAbbAbABBBaBabAb", "aaabbABAbAbAbAbABABB"}, {"aaaaabbabbABABABBAbb", "aaaabAbbAbABBBaBAbAb", "aaabaBBAbAbAbAbABABB"}, {"aaaaabbabbABABABBABB", "aaaaabAbbAbABBBaBBaB", "aaababbAbAbAbAbABABB"}, {"aaaaabbabbABABABBBab", "aaaabAbbAbABBBaBaBab", "aaabbababababAbAABBB"}, {"aaaaabbabbABABABBBAb", "aaaabAbbAbABBBaBaBAb", "aaabbaBAbAbAbAbABABB"}, {"aaaaabbabbABABABBBAB", "aaaaabAbbAbABBBaBaBB", "aaabbabAbAbAbAbABABB"}, {"aaaaabbabbABABBababb", "aaaabAbbAbABBaBabbAb", "aabaBaBaBaBababbAABB"}, {"aaaaabbabbABABBabbab", "aaaabAbbAbABBaBabAbb", "aababababaBaBBAAbbaB"}, {"aaaaabbabbABABBAbabb", "aaaabAbbAbABBaBAbbAb", "aabaBABAbAbAbAbABABB"}, {"aaaaabbabbABABBAbbab", "aaaabAbbAbABBaBAbAbb", "aababababaBaBBAAbABB"}, {"aaaaabbabbABABBABabb", "aaaabAbbAbABBaBBabAb", "aababABAbAbAbAbABABB"}, {"aaaaabbabbABABBABAbb", "aaaabAbbAbABBaBBAbAb", "aabaaBBAbAbAbAbABABB"}, {"aaaaabbabbABABBABABB", "aaaaabAbbAbABBaBBBaB", "aabaabbAbAbAbAbABABB"}, {"aaaaabbabbABABBABBab", "aaaabAbbAbABBaBBaBab", "aababababaBaBBAAbAbb"}, {"aaaaabbabbABABBABBAb", "aaaabAbbAbABBaBBaBAb", "aababaBAbAbAbAbABABB"}, {"aaaaabbabbABABBABBAB", "aaaaabAbbAbABBaBBaBB", "aabababAbAbAbAbABABB"}, {"aaaaabbabbABABBBabab", "aaaabAbbAbABBaBaBabb", "aaababababaBaBBAAbbb"}, {"aaaaabbabbABABBBAbab", "aaaabAbbAbABBaBaBAbb", "aababababaBaBBAAbbAB"}, {"aaaaabbabbABABBBABab", "aaaabAbbAbABBaBaBBab", "aababababaBaBBAAbbAb"}, {"aaaaabbabbABABBBABAb", "aaaabAbbAbABBaBaBBAb", "aabbaaBAbAbAbAbABABB"}, {"aaaaabbabbABABBBABAB", "aaaaabAbbAbABBaBaBBB", "aabbaabAbAbAbAbABABB"}, {"aaaaabbabbABBabababb", "aaaabAbbAbABaBabbbAb", "aaabaBaBaBaBababbABB"}, {"aaaaabbabbABBababbab", "aaaabAbbAbABaBabbAbb", "aabaaBaBaBaBababbABB"}, {"aaaaabbabbABBabbabab", "aaaabAbbAbABaBabAbbb", "aaababababaBaBBAbbaB"}, {"aaaaabbabbABBAbababb", "aaaabAbbAbABaBAbbbAb", "aabaBaBaBaBababbABAb"}, {"aaaaabbabbABBAbabbab", "aaaabAbbAbABaBAbbAbb", "aababababaBaBBAbABaB"}, {"aaaaabbabbABBAbbabab", "aaaabAbbAbABaBAbAbbb", "aaababababaBaBBAbABB"}, {"aaaaabbabbABBABababb", "aaaabAbbAbABaBBabbAb", "aabaBaBaBaBababbABAB"}, {"aaaaabbabbABBABabbab", "aaaabAbbAbABaBBabAbb", "aababababaBaBBAbAbaB"}, {"aaaaabbabbABBABAbabb", "aaaabAbbAbABaBBAbbAb", "aabAbbaBaBABABABABaB"}, {"aaaaabbabbABBABAbbab", "aaaabAbbAbABaBBAbAbb", "aababababaBaBBAbAABB"}, {"aaaaabbabbABBABABabb", "aaaabAbbAbABaBBBabAb", "aabAbbABaBABABABABaB"}, {"aaaaabbabbABBABABAbb", "aaaabAbbAbABaBBBAbAb", "aaabbABABABABAbAbbaB"}, {"aaaaabbabbABBABABABB", "aaaaabAbbAbABaBBBBaB", "aaabbAbAbAbAbABABBab"}, {"aaaaabbabbABBABABBab", "aaaabAbbAbABaBBBaBab", "aababababaBaBBAbAAbb"}, {"aaaaabbabbABBABABBAb", "aaaabAbbAbABaBBBaBAb", "aabaBAbAbAbAbABABBab"}, {"aaaaabbabbABBABABBAB", "aaaaabAbbAbABaBBBaBB", "aababAbAbAbAbABABBab"}, {"aaaaabbabbABBABBabab", "aaaabAbbAbABaBBaBabb", "aaababababaBaBBAbAbb"}, {"aaaaabbabbABBABBAbab", "aaaabAbbAbABaBBaBAbb", "aababababaBaBBAbAbAB"}, {"aaaaabbabbABBABBABab", "aaaabAbbAbABaBBaBBab", "aababababaBaBBAbAbAb"}, {"aaaaabbabbABBABBABAb", "aaaabAbbAbABaBBaBBAb", "aabAbAbbaBABABABABaB"}, {"aaaaabbabbABBABBABAB", "aaaaabAbbAbABaBBaBBB", "aabAbAbbABABABABABaB"}, {"aaaaabbabbABBBababab", "aaaababababaBaBBAbbb", "aaaabAbbAbABaBaBabbb"}, {"aaaaabbabbABBBAbabab", "aaaabAbbAbABaBaBAbbb", "aaababababaBaBBAbbAB"}, {"aaaaabbabbABBBABabab", "aaaabAbbAbABaBaBBabb", "aaababababaBaBBAbbAb"}, {"aaaaabbabbABBBABAbab", "aaaabAbbAbABaBaBBAbb", "aababababaBaBBAbbAAB"}, {"aaaaabbabbABBBABABab", "aaaabAbbAbABaBaBBBab", "aababababaBaBBAbbAAb"}, {"aaaaabbabbABBBABABAb", "aaaabAbbAbABaBaBBBAb", "aaabABABABABAbAbbaBB"}, {"aaaaabbabbABBBABABAB", "aaaaabAbbAbABaBaBBBB", "aaabAbAbAbAbABABBabb"}, {"aaaaabbabAbabababbbb", "aaaabababaBBBBabaabb", "aaabbbaBaBaBaBababAb"}, {"aaaaabbabAbababbabbb", "aaaabAbbAAbbbAbbAbAb", "aababbaBaBaBaBababAb"}, {"aaaaabbabAbababbbabb", "aaaabAbbAAbbbAbAbbAb", "aababAbAbAbAbabaBabb"}, {"aaaaabbabAbababbbbab", "aaaabAbbAAbbbAbAbAbb", "aaabbAbAbAbAbabaBabb"}, {"aaaaabbabAbabbababbb", "aaaabAbbAAbbAbbbAbAb", "aabbaBaBaBaBababAbab"}, {"aaaaabbabAbabbabbbab", "aaaabAbbAAbbAbbAbAbb", "aababababaBaBABaBaBB"}, {"aaaaabbabAbabbbababb", "aaaabAbbAAbbAbAbbbAb", "aabaBaBaBaBababAbabb"}, {"aaaaabbabAbabbbabbab", "aaaabAbbAAbbAbAbbAbb", "aababababaBaBABaBBaB"}, {"aaaaabbabAbabbbbabab", "aaaabAbbAAbbAbAbAbbb", "aaababababaBaBABaBBB"}, {"aaaaabbabAbbabababbb", "aaaababaBBBBabaabbab", "aaabbaBaBaBaBababAbb"}, {"aaaaabbabAbbababbabb", "aaaabAbbAAbAbbbAbbAb", "aababaBaBaBaBababAbb"}, {"aaaaabbabAbbababbbab", "aaaabAbbAAbAbbbAbAbb", "aababababaBaBABBaaBB"}, {"aaaaabbabAbbabbababb", "aaaabAbbAAbAbbAbbbAb", "aababbabAbAbAbAbabaB"}, {"aaaaabbabAbbabbabbab", "aaaabAbbAAbAbbAbbAbb", "aababababaBaBABBaBaB"}, {"aaaaabbabAbbabbbabab", "aaaabAbbAAbAbbAbAbbb", "aaababababaBaBABBaBB"}, {"aaaaabbabAbbbabababb", "aaaabaBBBBabaabbabab", "aaabaBaBaBaBababAbbb"}, {"aaaaabbabAbbbababbab", "aaaabAbbAAbAbAbbbAbb", "aaabbabbAbAbAbAbabaB"}, {"aaaaabbabAbbbabbabab", "aaaabAbbAAbAbAbbAbbb", "aaababababaBaBABBBaB"}, {"aaaaabbabAbbbbababab", "aaaababababaBaBABBBB", "aaaabbbbaBaaBBaBaBaB"}, {"aaaaabbabABabababbbb", "aaaabAbbABabbbAbAbAb", "aaabbbaBaBaBaBababAB"}, {"aaaaabbabABababbabbb", "aaaabAbbABabbAbbAbAb", "aababbaBaBaBaBababAB"}, {"aaaaabbabABababbbabb", "aaaabAbbABabbAbAbbAb", "aababAbAbAbAbabaBAbb"}, {"aaaaabbabABababbbbab", "aaaabAbbABabbAbAbAbb", "aaabbAbAbAbAbabaBAbb"}, {"aaaaabbabABabbababbb", "aaaabAbbABabAbbbAbAb", "aabbaBaBaBaBababABab"}, {"aaaaabbabABabbabbbab", "aaaabAbbABabAbbAbAbb", "aababababaBaBAbaBaBB"}, {"aaaaabbabABabbbababb", "aaaabAbbABabAbAbbbAb", "aabaBaBaBaBababABabb"}, {"aaaaabbabABabbbabbab", "aaaabAbbABabAbAbbAbb", "aababababaBaBAbaBBaB"}, {"aaaaabbabABabbbbabab", "aaaabAbbABabAbAbAbbb", "aaababababaBaBAbaBBB"}, {"aaaaabbabABAbababbbb", "aaaabAbbABAbbbAbAbAb", "aaabAbAbAbAbabaBBabb"}, {"aaaaabbabABAbabbabbb", "aaaabAbbABAbbAbbAbAb", "aabAbAbbABABABABAbAb"}, {"aaaaabbabABAbabbbabb", "aaaabAbbABAbbAbAbbAb", "aababAbAbAbAbabaBBab"}, {"aaaaabbabABAbabbbbab", "aaaabAbbABAbbAbAbAbb", "aaabbAbAbAbAbabaBBab"}, {"aaaaabbabABAbbababbb", "aaaabAbbABAbAbbbAbAb", "aabbaabAbAbAbAbabaBB"}, {"aaaaabbabABAbbabbabb", "aaaabAbbABAbAbbAbbAb", "aabababAbAbAbAbabaBB"}, {"aaaaabbabABAbbabbbab", "aaaabAbbABAbAbbAbAbb", "aabaabbAbAbAbAbabaBB"}, {"aaaaabbabABAbbbababb", "aaaabAbbABAbAbAbbbAb", "aaabbabAbAbAbAbabaBB"}, {"aaaaabbabABAbbbabbab", "aaaabAbbABAbAbAbbAbb", "aaababbAbAbAbAbabaBB"}, {"aaaaabbabABAbbbbabab", "aaaabbbAbAbAbAbabaBB", "aaaabAbbABAbAbAbAbbb"}, {"aaaaabbabABABababbbb", "aaaabAbbABBabbAbAbAb", "aaabAbAbAbAbabaBBAbb"}, {"aaaaabbabABABabbabbb", "aaaabAbbABBabAbbAbAb", "aabAbAbAbAbabaBBAbab"}, {"aaaaabbabABABabbbabb", "aaaabAbbABBabAbAbbAb", "aababAbAbAbAbabaBBAb"}, {"aaaaabbabABABabbbbab", "aaaabAbbABBabAbAbAbb", "aaabbAbAbAbAbabaBBAb"}, {"aaaaabbabABABAbabbbb", "aaaabAbbABBAbbAbAbAb", "aaabAbbbABABABABAbAb"}, {"aaaaabbabABABAbbabbb", "aaaabAbbABBAbAbbAbAb", "aaabbAbbABABABABAbAb"}, {"aaaaabbabABABAbbbabb", "aaaabAbbABBAbAbAbbAb", "aaababAbAbAbAbabaBBB"}, {"aaaaabbabABABAbbbbab", "aaaabbAbAbAbAbabaBBB", "aaaabAbbABBAbAbAbAbb"}, {"aaaaabbabABABABabbbb", "aaaabAbbABBBabAbAbAb", "aaabAbAbAbAbabaBBBAb"}, {"aaaaabbabABABABAbbbb", "aaaabbbbABABABABAbAb", "aaaabAbbABBBAbAbAbAb"}, {"aaaaabbabABABABABBBB", "aaaaabAbbABBBBaBaBaB", "aaaabababababAbABBBB"}, {"aaaaabbabABABABBabbb", "aaaabAbbABBBaBabAbAb", "aaabbABBAbAbAbAbABAB"}, {"aaaaabbabABABABBAbbb", "aaaabAbbABBBaBAbAbAb", "aaabaBBBAbAbAbAbABAB"}, {"aaaaabbabABABABBABBB", "aaaaabAbbABBBaBBaBaB", "aaabababababAbABBBaB"}, {"aaaaabbabABABABBBabb", "aaaabAbbABBBaBaBabAb", "aaabbbABAbAbAbAbABAB"}, {"aaaaabbabABABABBBAbb", "aaaabAbbABBBaBaBAbAb", "aaabbaBBAbAbAbAbABAB"}, {"aaaaabbabABABABBBABB", "aaaaabAbbABBBaBaBBaB", "aaabbabbAbAbAbAbABAB"}, {"aaaaabbabABABABBBBab", "aaaabbababababAbABBB", "aaaabAbbABBBaBaBaBab"}, {"aaaaabbabABABABBBBAb", "aaaabAbbABBBaBaBaBAb", "aaabbbaBAbAbAbAbABAB"}, {"aaaaabbabABABABBBBAB", "aaaaabAbbABBBaBaBaBB", "aaabaBaBaBaBaBABAbbb"}, {"aaaaabbabABABBababbb", "aaaabAbbABBaBabbAbAb", "aabbaBaBaBaBababAABB"}, {"aaaaabbabABABBabbabb", "aaaabAbbABBaBabAbbAb", "aabbABABAbAbAbAbABAB"}, {"aaaaabbabABABBabbbab", "aaaabAbbABBaBabAbAbb", "aababababaBaBAAbbaBB"}, {"aaaaabbabABABBAbabbb", "aaaabAbbABBaBAbbAbAb", "aabaBABBAbAbAbAbABAB"}, {"aaaaabbabABABBAbbabb", "aaaabAbbABBaBAbAbbAb", "aababAbAbAbAbabaBBAB"}, {"aaaaabbabABABBAbbbab", "aaaabAbbABBaBAbAbAbb", "aaabbAbAbAbAbabaBBAB"}, {"aaaaabbabABABBABabbb", "aaaabAbbABBaBBabAbAb", "aababABBAbAbAbAbABAB"}, {"aaaaabbabABABBABAbbb", "aaaabAbbABBaBBAbAbAb", "aaabAbAbAbAbabaBBABB"}, {"aaaaabbabABABBABABBB", "aaaaabAbbABBaBBBaBaB", "aaabababababAbABBaBB"}, {"aaaaabbabABABBABBabb", "aaaabAbbABBaBBaBabAb", "aababbABAbAbAbAbABAB"}, {"aaaaabbabABABBABBAbb", "aaaabAbbABBaBBaBAbAb", "aababaBBAbAbAbAbABAB"}, {"aaaaabbabABABBABBABB", "aaaaabAbbABBaBBaBBaB", "aabababababAbABBaBaB"}, {"aaaaabbabABABBABBBab", "aaaabAbbABBaBBaBaBab", "aaabbababababAbABBaB"}, {"aaaaabbabABABBABBBAb", "aaaabAbbABBaBBaBaBAb", "aababbaBAbAbAbAbABAB"}, {"aaaaabbabABABBABBBAB", "aaaaabAbbABBaBBaBaBB", "aababbabAbAbAbAbABAB"}, {"aaaaabbabABABBBababb", "aaaabAbbABBaBaBabbAb", "aaabbAbababababAbABB"}, {"aaaaabbabABABBBabbab", "aaaabAbbABBaBaBabAbb", "aaabAbbababababAbABB"}, {"aaaaabbabABABBBAbabb", "aaaabAbbABBaBaBAbbAb", "aabbaBABAbAbAbAbABAB"}, {"aaaaabbabABABBBAbbab", "aaaabAbbABBaBaBAbAbb", "aababababaBaBAAbbABB"}, {"aaaaabbabABABBBABabb", "aaaabAbbABBaBaBBabAb", "aabaBABaBaBaBaBABAbb"}, {"aaaaabbabABABBBABAbb", "aaaabAbbABBaBaBBAbAb", "aabbaaBBAbAbAbAbABAB"}, {"aaaaabbabABABBBABABB", "aaaaabAbbABBaBaBBBaB", "aabababababAbABBaaBB"}, {"aaaaabbabABABBBABBab", "aaaabAbbABBaBaBBaBab", "aabaaBBaBaBaBaBABAbb"}, {"aaaaabbabABABBBABBAb", "aaaabAbbABBaBaBBaBAb", "aababABaBaBaBaBABAbb"}, {"aaaaabbabABABBBABBAB", "aaaaabAbbABBaBaBBaBB", "aababaBaBaBaBaBABAbb"}, {"aaaaabbabABABBBBabab", "aaaabbbababababAbABB", "aaaabAbbABBaBaBaBabb"}, {"aaaaabbabABABBBBAbab", "aaaabAbbABBaBaBaBAbb", "aaabABBaBaBaBaBABAbb"}, {"aaaaabbabABABBBBABab", "aaaabAbbABBaBaBaBBab", "aaabaBBaBaBaBaBABAbb"}, {"aaaaabbabABABBBBABAb", "aaaabAbbABBaBaBaBBAb", "aaabbABaBaBaBaBABAbb"}, {"aaaaabbabABABBBBABAB", "aaaaabAbbABBaBaBaBBB", "aaabbaBaBaBaBaBABAbb"}, {"aaaaabbabABBabababbb", "aaaabAbbABaBabbbAbAb", "aaabbaBaBaBaBababABB"}, {"aaaaabbabABBababbabb", "aaaabAbbABaBabbAbbAb", "aababaBaBaBaBababABB"}, {"aaaaabbabABBababbbab", "aaaabAbbABaBabbAbAbb", "aababababaBaBAbbaaBB"}, {"aaaaabbabABBabbababb", "aaaabAbbABaBabAbbbAb", "aabaBaBaBaBababABBab"}, {"aaaaabbabABBabbabbab", "aaaabAbbABaBabAbbAbb", "aababababaBaBAbbaBaB"}, {"aaaaabbabABBabbbabab", "aaaabAbbABaBabAbAbbb", "aaababababaBaBAbbaBB"}, {"aaaaabbabABBAbababbb", "aaaabAbbABaBAbbbAbAb", "aabbaBaBaBaBababABAb"}, {"aaaaabbabABBAbabbbab", "aaaabAbbABaBAbbAbAbb", "aababababaBaBAbABaBB"}, {"aaaaabbabABBAbbababb", "aaaabAbbABaBAbAbbbAb", "aabaBaBaBaBababABAbb"}, {"aaaaabbabABBAbbabbab", "aaaabAbbABaBAbAbbAbb", "aababababaBaBAbABBaB"}, {"aaaaabbabABBAbbbabab", "aaaabAbbABaBAbAbAbbb", "aaababababaBaBAbABBB"}, {"aaaaabbabABBABababbb", "aaaabAbbABaBBabbAbAb", "aabbaBaBaBaBababABAB"}, {"aaaaabbabABBABabbbab", "aaaabAbbABaBBabAbAbb", "aababababaBaBAbAbaBB"}, {"aaaaabbabABBABAbabbb", "aaaabAbbABaBBAbbAbAb", "aabAbbABABABABAbAbaB"}, {"aaaaabbabABBABAbbabb", "aaaabAbbABaBBAbAbbAb", "aababAbAbAbAbabaBABB"}, {"aaaaabbabABBABAbbbab", "aaaabAbbABaBBAbAbAbb", "aaabbAbAbAbAbabaBABB"}, {"aaaaabbabABBABABabbb", "aaaabAbbABaBBBabAbAb", "aabAbAbAbAbabaBABBAb"}, {"aaaaabbabABBABABAbbb", "aaaabAbbABaBBBAbAbAb", "aaabbbABABABABAbAbaB"}, {"aaaaabbabABBABABABBB", "aaaaabAbbABaBBBBaBaB", "aaabababababAbABaBBB"}, {"aaaaabbabABBABABBabb", "aaaabAbbABaBBBaBabAb", "aabbABAbAbAbAbABABab"}, {"aaaaabbabABBABABBAbb", "aaaabAbbABaBBBaBAbAb", "aabaBBAbAbAbAbABABab"}, {"aaaaabbabABBABABBABB", "aaaaabAbbABaBBBaBBaB", "aabababababAbABaBBaB"}, {"aaaaabbabABBABABBBab", "aaaabAbbABaBBBaBaBab", "aaabbababababAbABaBB"}, {"aaaaabbabABBABABBBAb", "aaaabAbbABaBBBaBaBAb", "aabbaBAbAbAbAbABABab"}, {"aaaaabbabABBABABBBAB", "aaaaabAbbABaBBBaBaBB", "aabaBaBaBaBaBABAbabb"}, {"aaaaabbabABBABBababb", "aaaabAbbABaBBaBabbAb", "aabaBaBaBaBababABABB"}, {"aaaaabbabABBABBabbab", "aaaabAbbABaBBaBabAbb", "aababababaBaBAbAbbaB"}, {"aaaaabbabABBABBAbbab", "aaaabAbbABaBBaBAbAbb", "aababababaBaBAbAbABB"}, {"aaaaabbabABBABBABAbb", "aaaabAbbABaBBaBBAbAb", "aabbABABABABAbAbaBaB"}, {"aaaaabbabABBABBABABB", "aaaaabAbbABaBBaBBBaB", "aabababababAbABaBaBB"}, {"aaaaabbabABBABBABBab", "aaaabAbbABaBBaBBaBab", "aababababaBaBAbAbAbb"}, {"aaaaabbabABBABBBabab", "aaaabAbbABaBBaBaBabb", "aaababababaBaBAbAbbb"}, {"aaaaabbabABBABBBAbab", "aaaabAbbABaBBaBaBAbb", "aababababaBaBAbAbbAB"}, {"aaaaabbabABBABBBABab", "aaaabAbbABaBBaBaBBab", "aababababaBaBAbAbbAb"}, {"aaaaabbabABBABBBABAb", "aaaabAbbABaBBaBaBBAb", "aabbABaBaBaBaBABAbab"}, {"aaaaabbabABBABBBABAB", "aaaaabAbbABaBBaBaBBB", "aabbaBaBaBaBaBABAbab"}, {"aaaaabbabABBBabababb", "aaaabAbbABaBaBabbbAb", "aaabaBaBaBaBababABBB"}, {"aaaaabbabABBBababbab", "aaaabAbbABaBaBabbAbb", "aaabbAbbababababAbAB"}, {"aaaaabbabABBBabbabab", "aaaabAbbABaBaBabAbbb", "aaababababaBaBAbbbaB"}, {"aaaaabbabABBBAbababb", "aaaabAbbABaBaBAbbbAb", "aabaBaBaBaBababABBAb"}, {"aaaaabbabABBBAbabbab", "aaaabAbbABaBaBAbbAbb", "aababababaBaBAbbABaB"}, {"aaaaabbabABBBAbbabab", "aaaabAbbABaBaBAbAbbb", "aaababababaBaBAbbABB"}, {"aaaaabbabABBBABababb", "aaaabAbbABaBaBBabbAb", "aabaBaBaBaBababABBAB"}, {"aaaaabbabABBBABabbab", "aaaabAbbABaBaBBabAbb", "aababababaBaBAbbAbaB"}, {"aaaaabbabABBBABAbabb", "aaaabAbbABaBaBBAbbAb", "aabbABABaBaBaBaBABAb"}, {"aaaaabbabABBBABAbbab", "aaaabAbbABaBaBBAbAbb", "aababababaBaBAbbAABB"}, {"aaaaabbabABBBABABabb", "aaaabAbbABaBaBBBabAb", "aabbaBABaBaBaBaBABAb"}, {"aaaaabbabABBBABABAbb", "aaaabAbbABaBaBBBAbAb", "aaabbABABABABAbAbaBB"}, {"aaaaabbabABBBABABABB", "aaaaabAbbABaBaBBBBaB", "aaabbAbAbAbAbABABabb"}, {"aaaaabbabABBBABABBab", "aaaabAbbABaBaBBBaBab", "aababababaBaBAbbAAbb"}, {"aaaaabbabABBBABABBAb", "aaaabAbbABaBaBBBaBAb", "aabaBAbAbAbAbABABabb"}, {"aaaaabbabABBBABABBAB", "aaaaabAbbABaBaBBBaBB", "aababAbAbAbAbABABabb"}, {"aaaaabbabABBBABBabab", "aaaabAbbABaBaBBaBabb", "aaababababaBaBAbbAbb"}, {"aaaaabbabABBBABBAbab", "aaaabAbbABaBaBBaBAbb", "aababababaBaBAbbAbAB"}, {"aaaaabbabABBBABBABab", "aaaabAbbABaBaBBaBBab", "aababababaBaBAbbAbAb"}, {"aaaaabbabABBBABBABAb", "aaaabAbbABaBaBBaBBAb", "aababbABaBaBaBaBABAb"}, {"aaaaabbabABBBABBABAB", "aaaaabAbbABaBaBBaBBB", "aababbaBaBaBaBaBABAb"}, {"aaaaabbabABBBBababab", "aaaababababaBaBAbbbb", "aaaabAbbABaBaBaBabbb"}, {"aaaaabbabABBBBAbabab", "aaaabAbbABaBaBaBAbbb", "aaababababaBaBAbbbAB"}, {"aaaaabbabABBBBABabab", "aaaabAbbABaBaBaBBabb", "aaababababaBaBAbbbAb"}, {"aaaaabbabABBBBABAbab", "aaaabAbbABaBaBaBBAbb", "aaabbABBaBaBaBaBABAb"}, {"aaaaabbabABBBBABABab", "aaaabAbbABaBaBaBBBab", "aaabbaBBaBaBaBaBABAb"}, {"aaaaabbabABBBBABABAb", "aaaabAbbABaBaBaBBBAb", "aaabbbABaBaBaBaBABAb"}, {"aaaaabbabABBBBABABAB", "aaaaabAbbABaBaBaBBBB", "aaabbbaBaBaBaBaBABAb"}, {"aaaaabbaBababababbbb", "aaaabababaBBBBabaBAB", "aaaabbbaBaBaBaBabaBB"}, {"aaaaabbaBabababbabbb", "aaaabAbaBabbbAbbAbAb", "aaababbaBaBaBaBabaBB"}, {"aaaaabbaBabababbbabb", "aaaabAbaBabbbAbAbbAb", "aaabbabaBaBaBaBabaBB"}, {"aaaaabbaBabababbbbab", "aaaabAbaBabbbAbAbAbb", "aaabbbaaBaBaBaBabaBB"}, {"aaaaabbaBababbababbb", "aaaabAbaBabbAbbbAbAb", "aabaabbaBaBaBaBabaBB"}, {"aaaaabbaBababbabbabb", "aaaabAbaBabbAbbAbbAb", "aabababaBaBaBaBabaBB"}, {"aaaaabbaBababbabbbab", "aaaabAbaBabbAbbAbAbb", "aababababaBabbaaBaBB"}, {"aaaaabbaBababbbababb", "aaaabAbaBabbAbAbbbAb", "aabaBaBaBaBabaBBaabb"}, {"aaaaabbaBababbbabbab", "aaaabAbaBabbAbAbbAbb", "aababababaBabbaaBBaB"}, {"aaaaabbaBababbbbabab", "aaaabAbaBabbAbAbAbbb", "aaababababaBabbaaBBB"}, {"aaaaabbaBabbabababbb", "aaaababaBBBBabaBABab", "aaabbaBaBaBaBabaBBab"}, {"aaaaabbaBabbababbabb", "aaaabAbaBabAbbbAbbAb", "aababaBaBaBaBabaBBab"}, {"aaaaabbaBabbababbbab", "aaaabAbaBabAbbbAbAbb", "aababababaBabbaBaaBB"}, {"aaaaabbaBabbabbababb", "aaaabAbaBabAbbAbbbAb", "aabaBaBaBaBabaBBabab"}, {"aaaaabbaBabbabbabbab", "aaaabAbaBabAbbAbbAbb", "aababababaBabbaBaBaB"}, {"aaaaabbaBabbabbbabab", "aaaabAbaBabAbbAbAbbb", "aaababababaBabbaBaBB"}, {"aaaaabbaBabbbabababb", "aaaabaBBBBabaBABabab", "aaabaBaBaBaBabaBBabb"}, {"aaaaabbaBabbbababbab", "aaaabAbaBabAbAbbbAbb", "aabaaBaBaBaBabaBBabb"}, {"aaaaabbaBabbbabbabab", "aaaabAbaBabAbAbbAbbb", "aaababababaBabbaBBaB"}, {"aaaaabbaBabbbbababab", "aaaababababaBabbaBBB", "aaaabbbbaBabAbaBaBaB"}, {"aaaaabbaBAbabababbbb", "aaaabababaBBBBabaBAb", "aaabbbaBaBaBaBabaBAb"}, {"aaaaabbaBAbababbabbb", "aaaabAbaBAbbbAbbAbAb", "aababbaBaBaBaBabaBAb"}, {"aaaaabbaBAbababbbabb", "aaaabAbaBAbbbAbAbbAb", "aababAbAbAbAbabABabb"}, {"aaaaabbaBAbababbbbab", "aaaabAbaBAbbbAbAbAbb", "aaabbAbAbAbAbabABabb"}, {"aaaaabbaBAbabbababbb", "aaaabAbaBAbbAbbbAbAb", "aabbaBaBaBaBabaBAbab"}, {"aaaaabbaBAbabbabbbab", "aaaabAbaBAbbAbbAbAbb", "aababababaBabABaBaBB"}, {"aaaaabbaBAbabbbababb", "aaaabAbaBAbbAbAbbbAb", "aabaBaBaBaBabaBAbabb"}, {"aaaaabbaBAbabbbabbab", "aaaabAbaBAbbAbAbbAbb", "aababababaBabABaBBaB"}, {"aaaaabbaBAbabbbbabab", "aaaabAbaBAbbAbAbAbbb", "aaababababaBabABaBBB"}, {"aaaaabbaBAbbabababbb", "aaaababaBBBBabaBAbab", "aaabbaBaBaBaBabaBAbb"}, {"aaaaabbaBAbbababbabb", "aaaabAbaBAbAbbbAbbAb", "aababaBaBaBaBabaBAbb"}, {"aaaaabbaBAbbababbbab", "aaaabAbaBAbAbbbAbAbb", "aababababaBabABBaaBB"}, {"aaaaabbaBAbbabbababb", "aaaabAbaBAbAbbAbbbAb", "aababbabAbAbAbAbabAB"}, {"aaaaabbaBAbbabbabbab", "aaaabAbaBAbAbbAbbAbb", "aababababaBabABBaBaB"}, {"aaaaabbaBAbbabbbabab", "aaaabAbaBAbAbbAbAbbb", "aaababababaBabABBaBB"}, {"aaaaabbaBAbbbabababb", "aaaabaBBBBabaBAbabab", "aaabaBaBaBaBabaBAbbb"}, {"aaaaabbaBAbbbababbab", "aaaabAbaBAbAbAbbbAbb", "aaabbabbAbAbAbAbabAB"}, {"aaaaabbaBAbbbabbabab", "aaaabAbaBAbAbAbbAbbb", "aaababababaBabABBBaB"}, {"aaaaabbaBAbbbbababab", "aaaababababaBabABBBB", "aaaabbbbaBabABaBaBaB"}, {"aaaaabbaBABabababbbb", "aaaabAbaBBabbbAbAbAb", "aaabbbaBaBaBaBabaBAB"}, {"aaaaabbaBABababbabbb", "aaaabAbaBBabbAbbAbAb", "aababbaBaBaBaBabaBAB"}, {"aaaaabbaBABababbbabb", "aaaabAbaBBabbAbAbbAb", "aababAbAbAbAbabABAbb"}, {"aaaaabbaBABababbbbab", "aaaabAbaBBabbAbAbAbb", "aaabbAbAbAbAbabABAbb"}, {"aaaaabbaBABabbababbb", "aaaabAbaBBabAbbbAbAb", "aabbaBaBaBaBabaBABab"}, {"aaaaabbaBABabbabbbab", "aaaabAbaBBabAbbAbAbb", "aababababaBabAbaBaBB"}, {"aaaaabbaBABabbbababb", "aaaabAbaBBabAbAbbbAb", "aabaBaBaBaBabaBABabb"}, {"aaaaabbaBABabbbabbab", "aaaabAbaBBabAbAbbAbb", "aababababaBabAbaBBaB"}, {"aaaaabbaBABabbbbabab", "aaaabAbaBBabAbAbAbbb", "aaababababaBabAbaBBB"}, {"aaaaabbaBABAbababbbb", "aaaabAbaBBAbbbAbAbAb", "aaabAbAbAbAbabABBabb"}, {"aaaaabbaBABAbabbabbb", "aaaabAbaBBAbbAbbAbAb", "aabAbAbbABABABABAbAB"}, {"aaaaabbaBABAbabbbabb", "aaaabAbaBBAbbAbAbbAb", "aababAbAbAbAbabABBab"}, {"aaaaabbaBABAbabbbbab", "aaaabAbaBBAbbAbAbAbb", "aaabbAbAbAbAbabABBab"}, {"aaaaabbaBABAbbababbb", "aaaabAbaBBAbAbbbAbAb", "aabbaabAbAbAbAbabABB"}, {"aaaaabbaBABAbbabbabb", "aaaabAbaBBAbAbbAbbAb", "aabababAbAbAbAbabABB"}, {"aaaaabbaBABAbbabbbab", "aaaabAbaBBAbAbbAbAbb", "aabaabbAbAbAbAbabABB"}, {"aaaaabbaBABAbbbababb", "aaaabAbaBBAbAbAbbbAb", "aaabbabAbAbAbAbabABB"}, {"aaaaabbaBABAbbbabbab", "aaaabAbaBBAbAbAbbAbb", "aaababbAbAbAbAbabABB"}, {"aaaaabbaBABAbbbbabab", "aaaabbbAbAbAbAbabABB", "aaaabAbaBBAbAbAbAbbb"}, {"aaaaabbaBABABababbbb", "aaaabAbaBBBabbAbAbAb", "aaabAbAbAbAbabABBAbb"}, {"aaaaabbaBABABabbabbb", "aaaabAbaBBBabAbbAbAb", "aabAbAbAbAbabABBAbab"}, {"aaaaabbaBABABabbbabb", "aaaabAbaBBBabAbAbbAb", "aababAbAbAbAbabABBAb"}, {"aaaaabbaBABABabbbbab", "aaaabAbaBBBabAbAbAbb", "aaabbAbAbAbAbabABBAb"}, {"aaaaabbaBABABAbabbbb", "aaaabAbaBBBAbbAbAbAb", "aaabAbbbABABABABAbAB"}, {"aaaaabbaBABABAbbabbb", "aaaabAbaBBBAbAbbAbAb", "aaabbAbbABABABABAbAB"}, {"aaaaabbaBABABAbbbabb", "aaaabAbaBBBAbAbAbbAb", "aaababAbAbAbAbabABBB"}, {"aaaaabbaBABABAbbbbab", "aaaabbAbAbAbAbabABBB", "aaaabAbaBBBAbAbAbAbb"}, {"aaaaabbaBABABABabbbb", "aaaabAbaBBBBabAbAbAb", "aaabAbAbAbAbabABBBAb"}, {"aaaaabbaBABABABAbbbb", "aaaabbbbABABABABAbAB", "aaaabAbaBBBBAbAbAbAb"}, {"aaaaabbaBABABABBabbb", "aaaababABABAbbbbABAb", "aaabbABBAbAbAbAbABAb"}, {"aaaaabbaBABABABBAbbb", "aaaabaBABABAbbbbABAb", "aaabaBBBAbAbAbAbABAb"}, {"aaaaabbaBABABABBABBB", "aaaaabAbaBBBBaBBaBaB", "aaabababababAbaBBBaB"}, {"aaaaabbaBABABABBBabb", "aaaabababABAbbbbABAb", "aaabbbABAbAbAbAbABAb"}, {"aaaaabbaBABABABBBAbb", "aaaababaBABAbbbbABAb", "aaabbaBBAbAbAbAbABAb"}, {"aaaaabbaBABABABBBABB", "aaaaabAbaBBBBaBaBBaB", "aaabbabbAbAbAbAbABAb"}, {"aaaaabbaBABABABBBBab", "aaaababababAbbbbABAb", "aaaabbababababAbaBBB"}, {"aaaaabbaBABABABBBBAb", "aaaabababaBAbbbbABAb", "aaabbbaBAbAbAbAbABAb"}, {"aaaaabbaBABABABBBBAB", "aaaaabAbaBBBBaBaBaBB", "aaabaBaBaBaBaBABabbb"}, {"aaaaabbaBABABBababbb", "aaaabAbaBBBaBabbAbAb", "aabbaBaBaBaBabaBAABB"}, {"aaaaabbaBABABBabbabb", "aaaabAbaBBBaBabAbbAb", "aabbABABAbAbAbAbABAb"}, {"aaaaabbaBABABBabbbab", "aaaabAbaBBBaBabAbAbb", "aababababaBabAAbbaBB"}, {"aaaaabbaBABABBAbabbb", "aaaabAbaBBBaBAbbAbAb", "aabaBABBAbAbAbAbABAb"}, {"aaaaabbaBABABBAbbabb", "aaaabAbaBBBaBAbAbbAb", "aababAbAbAbAbabABBAB"}, {"aaaaabbaBABABBAbbbab", "aaaabAbaBBBaBAbAbAbb", "aaabbAbAbAbAbabABBAB"}, {"aaaaabbaBABABBABabbb", "aaaabAbaBBBaBBabAbAb", "aababABBAbAbAbAbABAb"}, {"aaaaabbaBABABBABAbbb", "aaaabAbaBBBaBBAbAbAb", "aaabAbAbAbAbabABBABB"}, {"aaaaabbaBABABBABABBB", "aaaaabAbaBBBaBBBaBaB", "aaabababababAbaBBaBB"}, {"aaaaabbaBABABBABBabb", "aaaabAbaBBBaBBaBabAb", "aababbABAbAbAbAbABAb"}, {"aaaaabbaBABABBABBAbb", "aaaabAbaBBBaBBaBAbAb", "aababaBBAbAbAbAbABAb"}, {"aaaaabbaBABABBABBABB", "aaaaabAbaBBBaBBaBBaB", "aabababababAbaBBaBaB"}, {"aaaaabbaBABABBABBBab", "aaaabAbaBBBaBBaBaBab", "aaabbababababAbaBBaB"}, {"aaaaabbaBABABBABBBAb", "aaaabAbaBBBaBBaBaBAb", "aababbaBAbAbAbAbABAb"}, {"aaaaabbaBABABBABBBAB", "aaaaabAbaBBBaBBaBaBB", "aababbabAbAbAbAbABAb"}, {"aaaaabbaBABABBBababb", "aaaabAbaBBBaBaBabbAb", "aaabbAbababababAbaBB"}, {"aaaaabbaBABABBBabbab", "aaaabAbaBBBaBaBabAbb", "aaabAbbababababAbaBB"}, {"aaaaabbaBABABBBAbabb", "aaaabAbaBBBaBaBAbbAb", "aabbaBABAbAbAbAbABAb"}, {"aaaaabbaBABABBBAbbab", "aaaabAbaBBBaBaBAbAbb", "aababababaBabAAbbABB"}, {"aaaaabbaBABABBBABabb", "aaaabAbaBBBaBaBBabAb", "aabaBABaBaBaBaBABabb"}, {"aaaaabbaBABABBBABAbb", "aaaabAbaBBBaBaBBAbAb", "aabbaaBBAbAbAbAbABAb"}, {"aaaaabbaBABABBBABABB", "aaaaabAbaBBBaBaBBBaB", "aabababababAbaBBaaBB"}, {"aaaaabbaBABABBBABBab", "aaaabAbaBBBaBaBBaBab", "aabaaBBaBaBaBaBABabb"}, {"aaaaabbaBABABBBABBAb", "aaaabAbaBBBaBaBBaBAb", "aababABaBaBaBaBABabb"}, {"aaaaabbaBABABBBABBAB", "aaaaabAbaBBBaBaBBaBB", "aababaBaBaBaBaBABabb"}, {"aaaaabbaBABABBBBabab", "aaaabbbababababAbaBB", "aaaabAbaBBBaBaBaBabb"}, {"aaaaabbaBABABBBBAbab", "aaaabAbaBBBaBaBaBAbb", "aaabABBaBaBaBaBABabb"}, {"aaaaabbaBABABBBBABab", "aaaabAbaBBBaBaBaBBab", "aaabaBBaBaBaBaBABabb"}, {"aaaaabbaBABABBBBABAb", "aaaabAbaBBBaBaBaBBAb", "aaabbABaBaBaBaBABabb"}, {"aaaaabbaBABABBBBABAB", "aaaaabAbaBBBaBaBaBBB", "aaabbaBaBaBaBaBABabb"}, {"aaaaabbaBABBabababbb", "aaaabAbaBBaBabbbAbAb", "aaabbaBaBaBaBabaBABB"}, {"aaaaabbaBABBababbabb", "aaaabAbaBBaBabbAbbAb", "aababaBaBaBaBabaBABB"}, {"aaaaabbaBABBababbbab", "aaaabAbaBBaBabbAbAbb", "aababababaBabAbbaaBB"}, {"aaaaabbaBABBabbababb", "aaaabAbaBBaBabAbbbAb", "aabaBaBaBaBabaBABBab"}, {"aaaaabbaBABBabbabbab", "aaaabAbaBBaBabAbbAbb", "aababababaBabAbbaBaB"}, {"aaaaabbaBABBabbbabab", "aaaabAbaBBaBabAbAbbb", "aaababababaBabAbbaBB"}, {"aaaaabbaBABBAbababbb", "aaaabAbaBBaBAbbbAbAb", "aabbaBaBaBaBabaBABAb"}, {"aaaaabbaBABBAbabbbab", "aaaabAbaBBaBAbbAbAbb", "aababababaBabAbABaBB"}, {"aaaaabbaBABBAbbababb", "aaaabAbaBBaBAbAbbbAb", "aabaBaBaBaBabaBABAbb"}, {"aaaaabbaBABBAbbabbab", "aaaabAbaBBaBAbAbbAbb", "aababababaBabAbABBaB"}, {"aaaaabbaBABBAbbbabab", "aaaabAbaBBaBAbAbAbbb", "aaababababaBabAbABBB"}, {"aaaaabbaBABBABababbb", "aaaabAbaBBaBBabbAbAb", "aabbaBaBaBaBabaBABAB"}, {"aaaaabbaBABBABabbbab", "aaaabAbaBBaBBabAbAbb", "aababababaBabAbAbaBB"}, {"aaaaabbaBABBABAbabbb", "aaaabAbaBBaBBAbbAbAb", "aabAbbABABABABAbABaB"}, {"aaaaabbaBABBABAbbabb", "aaaabAbaBBaBBAbAbbAb", "aababAbAbAbAbabABABB"}, {"aaaaabbaBABBABAbbbab", "aaaabAbaBBaBBAbAbAbb", "aaabbAbAbAbAbabABABB"}, {"aaaaabbaBABBABABabbb", "aaaabAbaBBaBBBabAbAb", "aabAbAbAbAbabABABBAb"}, {"aaaaabbaBABBABABAbbb", "aaaabAbaBBaBBBAbAbAb", "aaabbbABABABABAbABaB"}, {"aaaaabbaBABBABABABBB", "aaaaabAbaBBaBBBBaBaB", "aaabababababAbaBaBBB"}, {"aaaaabbaBABBABABBabb", "aaaabAbaBBaBBBaBabAb", "aabbABAbAbAbAbABAbab"}, {"aaaaabbaBABBABABBAbb", "aaaabAbaBBaBBBaBAbAb", "aabaBBAbAbAbAbABAbab"}, {"aaaaabbaBABBABABBABB", "aaaaabAbaBBaBBBaBBaB", "aabababababAbaBaBBaB"}, {"aaaaabbaBABBABABBBab", "aaaabAbaBBaBBBaBaBab", "aaabbababababAbaBaBB"}, {"aaaaabbaBABBABABBBAb", "aaaabAbaBBaBBBaBaBAb", "aabbaBAbAbAbAbABAbab"}, {"aaaaabbaBABBABABBBAB", "aaaaabAbaBBaBBBaBaBB", "aabaBaBaBaBaBABababb"}, {"aaaaabbaBABBABBababb", "aaaabAbaBBaBBaBabbAb", "aabaBaBaBaBabaBABABB"}, {"aaaaabbaBABBABBabbab", "aaaabAbaBBaBBaBabAbb", "aababababaBabAbAbbaB"}, {"aaaaabbaBABBABBAbbab", "aaaabAbaBBaBBaBAbAbb", "aababababaBabAbAbABB"}, {"aaaaabbaBABBABBABAbb", "aaaabAbaBBaBBaBBAbAb", "aabbABABABABAbABaBaB"}, {"aaaaabbaBABBABBABABB", "aaaaabAbaBBaBBaBBBaB", "aabababababAbaBaBaBB"}, {"aaaaabbaBABBABBABBab", "aaaabAbaBBaBBaBBaBab", "aababababaBabAbAbAbb"}, {"aaaaabbaBABBABBBabab", "aaaabAbaBBaBBaBaBabb", "aaababababaBabAbAbbb"}, {"aaaaabbaBABBABBBAbab", "aaaabAbaBBaBBaBaBAbb", "aababababaBabAbAbbAB"}, {"aaaaabbaBABBABBBABab", "aaaabAbaBBaBBaBaBBab", "aababababaBabAbAbbAb"}, {"aaaaabbaBABBABBBABAb", "aaaabAbaBBaBBaBaBBAb", "aabbABaBaBaBaBABabab"}, {"aaaaabbaBABBABBBABAB", "aaaaabAbaBBaBBaBaBBB", "aabbaBaBaBaBaBABabab"}, {"aaaaabbaBABBBabababb", "aaaabAbaBBaBaBabbbAb", "aaabaBaBaBaBabaBABBB"}, {"aaaaabbaBABBBababbab", "aaaabAbaBBaBaBabbAbb", "aaabbAbbababababAbaB"}, {"aaaaabbaBABBBabbabab", "aaaabAbaBBaBaBabAbbb", "aaababababaBabAbbbaB"}, {"aaaaabbaBABBBAbababb", "aaaabAbaBBaBaBAbbbAb", "aabaBaBaBaBabaBABBAb"}, {"aaaaabbaBABBBAbabbab", "aaaabAbaBBaBaBAbbAbb", "aababababaBabAbbABaB"}, {"aaaaabbaBABBBAbbabab", "aaaabAbaBBaBaBAbAbbb", "aaababababaBabAbbABB"}, {"aaaaabbaBABBBABababb", "aaaabAbaBBaBaBBabbAb", "aabaBaBaBaBabaBABBAB"}, {"aaaaabbaBABBBABabbab", "aaaabAbaBBaBaBBabAbb", "aababababaBabAbbAbaB"}, {"aaaaabbaBABBBABAbabb", "aaaabAbaBBaBaBBAbbAb", "aabbABABaBaBaBaBABab"}, {"aaaaabbaBABBBABAbbab", "aaaabAbaBBaBaBBAbAbb", "aababababaBabAbbAABB"}, {"aaaaabbaBABBBABABabb", "aaaabAbaBBaBaBBBabAb", "aabbaBABaBaBaBaBABab"}, {"aaaaabbaBABBBABABAbb", "aaaabAbaBBaBaBBBAbAb", "aaabbABABABABAbABaBB"}, {"aaaaabbaBABBBABABABB", "aaaaabAbaBBaBaBBBBaB", "aaabbAbAbAbAbABAbabb"}, {"aaaaabbaBABBBABABBab", "aaaabAbaBBaBaBBBaBab", "aababababaBabAbbAAbb"}, {"aaaaabbaBABBBABABBAb", "aaaabAbaBBaBaBBBaBAb", "aabaBAbAbAbAbABAbabb"}, {"aaaaabbaBABBBABABBAB", "aaaaabAbaBBaBaBBBaBB", "aababAbAbAbAbABAbabb"}, {"aaaaabbaBABBBABBabab", "aaaabAbaBBaBaBBaBabb", "aaababababaBabAbbAbb"}, {"aaaaabbaBABBBABBAbab", "aaaabAbaBBaBaBBaBAbb", "aababababaBabAbbAbAB"}, {"aaaaabbaBABBBABBABab", "aaaabAbaBBaBaBBaBBab", "aababababaBabAbbAbAb"}, {"aaaaabbaBABBBABBABAb", "aaaabAbaBBaBaBBaBBAb", "aababbABaBaBaBaBABab"}, {"aaaaabbaBABBBABBABAB", "aaaaabAbaBBaBaBBaBBB", "aababbaBaBaBaBaBABab"}, {"aaaaabbaBABBBBababab", "aaaababababaBabAbbbb", "aaaabAbaBBaBaBaBabbb"}, {"aaaaabbaBABBBBAbabab", "aaaabAbaBBaBaBaBAbbb", "aaababababaBabAbbbAB"}, {"aaaaabbaBABBBBABabab", "aaaabAbaBBaBaBaBBabb", "aaababababaBabAbbbAb"}, {"aaaaabbaBABBBBABAbab", "aaaabAbaBBaBaBaBBAbb", "aaabbABBaBaBaBaBABab"}, {"aaaaabbaBABBBBABABab", "aaaabAbaBBaBaBaBBBab", "aaabbaBBaBaBaBaBABab"}, {"aaaaabbaBABBBBABABAb", "aaaabAbaBBaBaBaBBBAb", "aaabbbABaBaBaBaBABab"}, {"aaaaabbaBABBBBABABAB", "aaaaabAbaBBaBaBaBBBB", "aaabbbaBaBaBaBaBABab"}, {"aaaaabbaBBababababbb", "aaaababaBBBBabaBABAB", "aaaabbaBaBaBaBabaBBB"}, {"aaaaabbaBBabababbabb", "aaaabAbaBaBabbbAbbAb", "aaababaBaBaBaBabaBBB"}, {"aaaaabbaBBabababbbab", "aaaabAbaBaBabbbAbAbb", "aaabbaaBaBaBaBabaBBB"}, {"aaaaabbaBBababbababb", "aaaabAbaBaBabbAbbbAb", "aaabbAbbAbababababAb"}, {"aaaaabbaBBababbabbab", "aaaabAbaBaBabbAbbAbb", "aaabbAbAbbababababAb"}, {"aaaaabbaBBababbbabab", "aaaabAbaBaBabbAbAbbb", "aaababababaBabbbaaBB"}, {"aaaaabbaBBabbabababb", "aaaabaBBBBabaBABABab", "aaabaBaBaBaBabaBBBab"}, {"aaaaabbaBBabbababbab", "aaaabAbaBaBabAbbbAbb", "aaabAbbAbbababababAb"}, {"aaaaabbaBBabbabbabab", "aaaabAbaBaBabAbbAbbb", "aaababababaBabbbaBaB"}, {"aaaaabbaBBabbbababab", "aaaababababaBabbbaBB", "aaaabbbbaBabAbAbaBaB"}, {"aaaaabbaBBAbabababbb", "aaaababaBBBBabaBABAb", "aaabbaBaBaBaBabaBBAb"}, {"aaaaabbaBBAbababbabb", "aaaabAbaBaBAbbbAbbAb", "aababaBaBaBaBabaBBAb"}, {"aaaaabbaBBAbababbbab", "aaaabAbaBaBAbbbAbAbb", "aababababaBabbABaaBB"}, {"aaaaabbaBBAbabbababb", "aaaabAbaBaBAbbAbbbAb", "aabaBaBaBaBabaBBAbab"}, {"aaaaabbaBBAbabbabbab", "aaaabAbaBaBAbbAbbAbb", "aababababaBabbABaBaB"}, {"aaaaabbaBBAbabbbabab", "aaaabAbaBaBAbbAbAbbb", "aaababababaBabbABaBB"}, {"aaaaabbaBBAbbabababb", "aaaabaBBBBabaBABAbab", "aaabaBaBaBaBabaBBAbb"}, {"aaaaabbaBBAbbababbab", "aaaabAbaBaBAbAbbbAbb", "aabaaBaBaBaBabaBBAbb"}, {"aaaaabbaBBAbbabbabab", "aaaabAbaBaBAbAbbAbbb", "aaababababaBabbABBaB"}, {"aaaaabbaBBAbbbababab", "aaaababababaBabbABBB", "aaaabbbbaBabAbABaBaB"}, {"aaaaabbaBBABabababbb", "aaaabAbaBaBBabbbAbAb", "aaabbaBaBaBaBabaBBAB"}, {"aaaaabbaBBABababbabb", "aaaabAbaBaBBabbAbbAb", "aababaBaBaBaBabaBBAB"}, {"aaaaabbaBBABababbbab", "aaaabAbaBaBBabbAbAbb", "aababababaBabbAbaaBB"}, {"aaaaabbaBBABabbababb", "aaaabAbaBaBBabAbbbAb", "aabaBaBaBaBabaBBABab"}, {"aaaaabbaBBABabbabbab", "aaaabAbaBaBBabAbbAbb", "aababababaBabbAbaBaB"}, {"aaaaabbaBBABabbbabab", "aaaabAbaBaBBabAbAbbb", "aaababababaBabbAbaBB"}, {"aaaaabbaBBABAbababbb", "aaaabAbaBaBBAbbbAbAb", "aabbaBaBaBaBabaBBAAb"}, {"aaaaabbaBBABAbabbabb", "aaaabAbaBaBBAbbAbbAb", "aabbABABABaBaBaBaBAB"}, {"aaaaabbaBBABAbabbbab", "aaaabAbaBaBBAbbAbAbb", "aababababaBabbAABaBB"}, {"aaaaabbaBBABAbbababb", "aaaabAbaBaBBAbAbbbAb", "aabaBaBaBaBabaBBAAbb"}, {"aaaaabbaBBABAbbabbab", "aaaabAbaBaBBAbAbbAbb", "aababababaBabbAABBaB"}, {"aaaaabbaBBABAbbbabab", "aaaabAbaBaBBAbAbAbbb", "aaababababaBabbAABBB"}, {"aaaaabbaBBABABababbb", "aaaabAbaBaBBBabbAbAb", "aabbaBaBaBaBabaBBAAB"}, {"aaaaabbaBBABABabbabb", "aaaabAbaBaBBBabAbbAb", "aabbaBABABaBaBaBaBAB"}, {"aaaaabbaBBABABabbbab", "aaaabAbaBaBBBabAbAbb", "aababababaBabbAAbaBB"}, {"aaaaabbaBBABABAbabbb", "aaaabAbaBaBBBAbbAbAb", "aaabAbbABABABABAbABB"}, {"aaaaabbaBBABABAbbabb", "aaaabAbaBaBBBAbAbbAb", "aaabbAbABABABABAbABB"}, {"aaaaabbaBBABABAbbbab", "aaaabAbaBaBBBAbAbAbb", "aaabbbAABABABABAbABB"}, {"aaaaabbaBBABABABabbb", "aaaabAbaBaBBBBabAbAb", "aaabABBAbAbAbAbABAbb"}, {"aaaaabbaBBABABABAbbb", "aaaabbbABABABABAbABB", "aaaabAbaBaBBBBAbAbAb"}, {"aaaaabbaBBABABABBabb", "aaaababABAbbbbABAbab", "aaabbABAbAbAbAbABAbb"}, {"aaaaabbaBBABABABBAbb", "aaaabaBABAbbbbABAbab", "aaabaBBAbAbAbAbABAbb"}, {"aaaaabbaBBABABABBABB", "aaaaabAbaBaBBBBaBBaB", "aaababbAbAbAbAbABAbb"}, {"aaaaabbaBBABABABBBab", "aaaabababAbbbbABAbab", "aaabbababababAbaaBBB"}, {"aaaaabbaBBABABABBBAb", "aaaababaBAbbbbABAbab", "aaabbaBAbAbAbAbABAbb"}, {"aaaaabbaBBABABABBBAB", "aaaaabAbaBaBBBBaBaBB", "aaabbabAbAbAbAbABAbb"}, {"aaaaabbaBBABABBababb", "aaaabAbaBaBBBaBabbAb", "aabaBaBaBaBabaBBAABB"}, {"aaaaabbaBBABABBabbab", "aaaabAbaBaBBBaBabAbb", "aababababaBabbAAbbaB"}, {"aaaaabbaBBABABBAbabb", "aaaabAbaBaBBBaBAbbAb", "aabaBABAbAbAbAbABAbb"}, {"aaaaabbaBBABABBAbbab", "aaaabAbaBaBBBaBAbAbb", "aababababaBabbAAbABB"}, {"aaaaabbaBBABABBABabb", "aaaabAbaBaBBBaBBabAb", "aababABAbAbAbAbABAbb"}, {"aaaaabbaBBABABBABAbb", "aaaabAbaBaBBBaBBAbAb", "aabaaBBAbAbAbAbABAbb"}, {"aaaaabbaBBABABBABABB", "aaaaabAbaBaBBBaBBBaB", "aabaabbAbAbAbAbABAbb"}, {"aaaaabbaBBABABBABBab", "aaaabAbaBaBBBaBBaBab", "aababababaBabbAAbAbb"}, {"aaaaabbaBBABABBABBAb", "aaaabAbaBaBBBaBBaBAb", "aababaBAbAbAbAbABAbb"}, {"aaaaabbaBBABABBABBAB", "aaaaabAbaBaBBBaBBaBB", "aabababAbAbAbAbABAbb"}, {"aaaaabbaBBABABBBabab", "aaaabAbaBaBBBaBaBabb", "aaababababaBabbAAbbb"}, {"aaaaabbaBBABABBBAbab", "aaaabAbaBaBBBaBaBAbb", "aababababaBabbAAbbAB"}, {"aaaaabbaBBABABBBABab", "aaaabAbaBaBBBaBaBBab", "aababababaBabbAAbbAb"}, {"aaaaabbaBBABABBBABAb", "aaaabAbaBaBBBaBaBBAb", "aabbaabbABaBaBaBaBAB"}, {"aaaaabbaBBABABBBABAB", "aaaaabAbaBaBBBaBaBBB", "aabbaabbaBaBaBaBaBAB"}, {"aaaaabbaBBABBabababb", "aaaabAbaBaBBaBabbbAb", "aaabaBaBaBaBabaBBABB"}, {"aaaaabbaBBABBababbab", "aaaabAbaBaBBaBabbAbb", "aabaaBaBaBaBabaBBABB"}, {"aaaaabbaBBABBabbabab", "aaaabAbaBaBBaBabAbbb", "aaababababaBabbAbbaB"}, {"aaaaabbaBBABBAbababb", "aaaabAbaBaBBaBAbbbAb", "aababABBABaBaBaBaBAB"}, {"aaaaabbaBBABBAbabbab", "aaaabAbaBaBBaBAbbAbb", "aababababaBabbAbABaB"}, {"aaaaabbaBBABBAbbabab", "aaaabAbaBaBBaBAbAbbb", "aaababababaBabbAbABB"}, {"aaaaabbaBBABBABababb", "aaaabAbaBaBBaBBabbAb", "aababaBBABaBaBaBaBAB"}, {"aaaaabbaBBABBABabbab", "aaaabAbaBaBBaBBabAbb", "aababababaBabbAbAbaB"}, {"aaaaabbaBBABBABAbabb", "aaaabAbaBaBBaBBAbbAb", "aababbABABaBaBaBaBAB"}, {"aaaaabbaBBABBABAbbab", "aaaabAbaBaBBaBBAbAbb", "aababababaBabbAbAABB"}, {"aaaaabbaBBABBABABabb", "aaaabAbaBaBBaBBBabAb", "aababbaBABaBaBaBaBAB"}, {"aaaaabbaBBABBABABAbb", "aaaabAbaBaBBaBBBAbAb", "aaabbABABABABAbABBaB"}, {"aaaaabbaBBABBABABABB", "aaaaabAbaBaBBaBBBBaB", "aaabbAbAbAbAbABAbbab"}, {"aaaaabbaBBABBABABBab", "aaaabAbaBaBBaBBBaBab", "aababababaBabbAbAAbb"}, {"aaaaabbaBBABBABABBAb", "aaaabAbaBaBBaBBBaBAb", "aababbabABaBaBaBaBAB"}, {"aaaaabbaBBABBABABBAB", "aaaaabAbaBaBBaBBBaBB", "aababbabaBaBaBaBaBAB"}, {"aaaaabbaBBABBABBabab", "aaaabAbaBaBBaBBaBabb", "aaababababaBabbAbAbb"}, {"aaaaabbaBBABBABBAbab", "aaaabAbaBaBBaBBaBAbb", "aababababaBabbAbAbAB"}, {"aaaaabbaBBABBABBABab", "aaaabAbaBaBBaBBaBBab", "aababababaBabbAbAbAb"}, {"aaaaabbaBBABBABBABAb", "aaaabAbaBaBBaBBaBBAb", "aabababbABaBaBaBaBAB"}, {"aaaaabbaBBABBABBABAB", "aaaaabAbaBaBBaBBaBBB", "aabababbaBaBaBaBaBAB"}, {"aaaaabbaBBABBBababab", "aaaababababaBabbAbbb", "aaaabAbaBaBBaBaBabbb"}, {"aaaaabbaBBABBBAbabab", "aaaabAbaBaBBaBaBAbbb", "aaababababaBabbAbbAB"}, {"aaaaabbaBBABBBABabab", "aaaabAbaBaBBaBaBBabb", "aaababababaBabbAbbAb"}, {"aaaaabbaBBABBBABAbab", "aaaabAbaBaBBaBaBBAbb", "aabaabbABBaBaBaBaBAB"}, {"aaaaabbaBBABBBABABab", "aaaabAbaBaBBaBaBBBab", "aabaabbaBBaBaBaBaBAB"}, {"aaaaabbaBBABBBABABAb", "aaaabAbaBaBBaBaBBBAb", "aaabABABABABAbABBaBB"}, {"aaaaabbaBBABBBABABAB", "aaaaabAbaBaBBaBaBBBB", "aaabAbAbAbAbABAbbabb"}, {"aaaaabbaBBBababababb", "aaaabaBaBaBaBabaBBBB", "aaaabaBBBBabaBABABAB"}, {"aaaaabbaBBBabababbab", "aaaabbbAbbababababAb", "aaaabAbaBaBaBabbbAbb"}, {"aaaaabbaBBBababbabab", "aaaabbAbbbababababAb", "aaaabAbaBaBaBabbAbbb"}, {"aaaaabbaBBBabbababab", "aaaababababaBabbbbaB", "aaaabbbbaBabAbAbAbaB"}, {"aaaaabbaBBBAbabababb", "aaaabaBBBBabaBABABAb", "aaabaBaBaBaBabaBBBAb"}, {"aaaaabbaBBBAbababbab", "aaaabAbaBaBaBAbbbAbb", "aaabABBABBaBaBaBaBAB"}, {"aaaaabbaBBBAbabbabab", "aaaabAbaBaBaBAbbAbbb", "aaababababaBabbbABaB"}, {"aaaaabbaBBBAbbababab", "aaaababababaBabbbABB", "aaaabbbbaBabAbAbABaB"}, {"aaaaabbaBBBABabababb", "aaaabAbaBaBaBBabbbAb", "aaabaBaBaBaBabaBBBAB"}, {"aaaaabbaBBBABababbab", "aaaabAbaBaBaBBabbAbb", "aaabaBBABBaBaBaBaBAB"}, {"aaaaabbaBBBABabbabab", "aaaabAbaBaBaBBabAbbb", "aaababababaBabbbAbaB"}, {"aaaaabbaBBBABAbababb", "aaaabAbaBaBaBBAbbbAb", "aaabbABBABaBaBaBaBAB"}, {"aaaaabbaBBBABAbabbab", "aaaabAbaBaBaBBAbbAbb", "aaabbABABBaBaBaBaBAB"}, {"aaaaabbaBBBABAbbabab", "aaaabAbaBaBaBBAbAbbb", "aaababababaBabbbAABB"}, {"aaaaabbaBBBABABababb", "aaaabAbaBaBaBBBabbAb", "aaabbaBBABaBaBaBaBAB"}, {"aaaaabbaBBBABABabbab", "aaaabAbaBaBaBBBabAbb", "aaabbaBABBaBaBaBaBAB"}, {"aaaaabbaBBBABABAbabb", "aaaabAbaBaBaBBBAbbAb", "aaabbbABABaBaBaBaBAB"}, {"aaaaabbaBBBABABAbbab", "aaaabAbaBaBaBBBAbAbb", "aaabbbAABBaBaBaBaBAB"}, {"aaaaabbaBBBABABABabb", "aaaabAbaBaBaBBBBabAb", "aaabbbaBABaBaBaBaBAB"}, {"aaaaabbaBBBABABABAbb", "aaaabbABABABABAbABBB", "aaaabAbaBaBaBBBBAbAb"}, {"aaaaabbaBBBABABABBab", "aaaababAbbbbABAbabab", "aaabbbaaBBaBaBaBaBAB"}, {"aaaaabbaBBBABABABBAb", "aaaabaBAbbbbABAbabab", "aaabaBAbAbAbAbABAbbb"}, {"aaaaabbaBBBABABABBAB", "aaaaabAbaBaBaBBBBaBB", "aaababAbAbAbAbABAbbb"}, {"aaaaabbaBBBABABBabab", "aaaabAbaBaBaBBBaBabb", "aaababababaBabbbAAbb"}, {"aaaaabbaBBBABABBAbab", "aaaabAbaBaBaBBBaBAbb", "aaabbabABBaBaBaBaBAB"}, {"aaaaabbaBBBABABBABab", "aaaabAbaBaBaBBBaBBab", "aaabbabaBBaBaBaBaBAB"}, {"aaaaabbaBBBABABBABAb", "aaaabAbaBaBaBBBaBBAb", "aaabbabbABaBaBaBaBAB"}, {"aaaaabbaBBBABABBABAB", "aaaaabAbaBaBaBBBaBBB", "aaabbabbaBaBaBaBaBAB"}, {"aaaaabbaBBBABBababab", "aaaababababaBabbbAbb", "aaaabAbaBaBaBBaBabbb"}, {"aaaaabbaBBBABBAbabab", "aaaabAbaBaBaBBaBAbbb", "aaababababaBabbbAbAB"}, {"aaaaabbaBBBABBABabab", "aaaabAbaBaBaBBaBBabb", "aaababababaBabbbAbAb"}, {"aaaaabbaBBBABBABAbab", "aaaabAbaBaBaBBaBBAbb", "aaababbABBaBaBaBaBAB"}, {"aaaaabbaBBBABBABABab", "aaaabAbaBaBaBBaBBBab", "aaababbaBBaBaBaBaBAB"}, {"aaaaabbaBBBABBABABAb", "aaaabAbaBaBaBBaBBBAb", "aaababbbABaBaBaBaBAB"}, {"aaaaabbaBBBABBABABAB", "aaaaabAbaBaBaBBaBBBB", "aaababbbaBaBaBaBaBAB"}, {"aaaaabbaBBBBAbababab", "aaaababababaBabbbbAB", "aaaabbbbaBabAbAbAbAB"}, {"aaaaabbaBBBBABababab", "aaaababababaBabbbbAb", "aaaabAbaBaBaBaBBabbb"}, {"aaaaabbaBBBBABAbabab", "aaaabbABBBaBaBaBaBAB", "aaaabAbaBaBaBaBBAbbb"}, {"aaaaabbaBBBBABABabab", "aaaabbaBBBaBaBaBaBAB", "aaaabAbaBaBaBaBBBabb"}, {"aaaaabbaBBBBABABAbab", "aaaabbbABBaBaBaBaBAB", "aaaabAbaBaBaBaBBBAbb"}, {"aaaaabbaBBBBABABABab", "aaaabbbaBBaBaBaBaBAB", "aaaabAbaBaBaBaBBBBab"}, {"aaaaabbaBBBBABABABAb", "aaaabbbbABaBaBaBaBAB", "aaaabAbaBaBaBaBBBBAb"}, {"aaaaabbaBBBBABABABAB", "aaaaabbbbbABAbababab", "aaaabbbbaBaBaBaBaBAB"}, {"aaaaabbbaababababbbb", "aaaabababaBBBBababaB", "aaaabbbaBaBaBaBabbaB"}, {"aaaaabbbaabababbabbb", "aaaabAbAbabbbAbbAbAb", "aaababbaBaBaBaBabbaB"}, {"aaaaabbbaabababbbabb", "aaaabAbAbabbbAbAbbAb", "aaabbabaBaBaBaBabbaB"}, {"aaaaabbbaabababbbbab", "aaaabAbAbabbbAbAbAbb", "aaabbbaaBaBaBaBabbaB"}, {"aaaaabbbaababbababbb", "aaaabAbAbabbAbbbAbAb", "aabaabbaBaBaBaBabbaB"}, {"aaaaabbbaababbabbabb", "aaaabAbAbabbAbbAbbAb", "aabababaBaBaBaBabbaB"}, {"aaaaabbbaababbabbbab", "aaaabAbAbabbAbbAbAbb", "aababababaBBabaaBaBB"}, {"aaaaabbbaababbbababb", "aaaabAbAbabbAbAbbbAb", "aabaBaBaBaBabbaBaabb"}, {"aaaaabbbaababbbabbab", "aaaabAbAbabbAbAbbAbb", "aababababaBBabaaBBaB"}, {"aaaaabbbaababbbbabab", "aaaabAbAbabbAbAbAbbb", "aaababababaBBabaaBBB"}, {"aaaaabbbaabbabababbb", "aaaababaBBBBababaBab", "aaabbaBaBaBaBabbaBab"}, {"aaaaabbbaabbababbabb", "aaaabAbAbabAbbbAbbAb", "aababaBaBaBaBabbaBab"}, {"aaaaabbbaabbababbbab", "aaaabAbAbabAbbbAbAbb", "aababababaBBabaBaaBB"}, {"aaaaabbbaabbabbababb", "aaaabAbAbabAbbAbbbAb", "aabaBaBaBaBabbaBabab"}, {"aaaaabbbaabbabbabbab", "aaaabAbAbabAbbAbbAbb", "aababababaBBabaBaBaB"}, {"aaaaabbbaabbabbbabab", "aaaabAbAbabAbbAbAbbb", "aaababababaBBabaBaBB"}, {"aaaaabbbaabbbabababb", "aaaabaBBBBababaBabab", "aaabaBaBaBaBabbaBabb"}, {"aaaaabbbaabbbababbab", "aaaabAbAbabAbAbbbAbb", "aabaaBaBaBaBabbaBabb"}, {"aaaaabbbaabbbabbabab", "aaaabAbAbabAbAbbAbbb", "aaababababaBBabaBBaB"}, {"aaaaabbbaabbbbababab", "aaaababababaBBabaBBB", "aaaabbbbaBaBabaBaBaB"}, {"aaaaabbbabaabababbbb", "aaaabAbAbbabbbAbAbAb", "aaabbbaBaBaBaBabbaaB"}, {"aaaaabbbabaababbabbb", "aaaabAbAbbabbAbbAbAb", "aabaaBaBBababababaBB"}, {"aaaaabbbabaababbbabb", "aaaabAbAbbabbAbAbbAb", "aabaaBBaBababababaBB"}, {"aaaaabbbabaababbbbab", "aaaabAbAbbabbAbAbAbb", "aaabbAbAbAbAbaabbAbb"}, {"aaaaabbbabaabbababbb", "aaaabAbAbbabAbbbAbAb", "aabaBaaBBababababaBB"}, {"aaaaabbbabaabbabbabb", "aaaabAbAbbabAbbAbbAb", "aabaBaBaBababababaBB"}, {"aaaaabbbabaabbabbbab", "aaaabAbAbbabAbbAbAbb", "aababababaBBaabaBaBB"}, {"aaaaabbbabaabbbababb", "aaaabAbAbbabAbAbbbAb", "aabaBaBaBaBabbaaBabb"}, {"aaaaabbbabaabbbabbab", "aaaabAbAbbabAbAbbAbb", "aababababaBBaabaBBaB"}, {"aaaaabbbabaabbbbabab", "aaaabAbAbbabAbAbAbbb", "aaababababaBBaabaBBB"}, {"aaaaabbbababaababbbb", "aaaabAbAbbbabbAbAbAb", "aaabaaBBBababababaBB"}, {"aaaaabbbababaabbabbb", "aaaabAbAbbbabAbbAbAb", "aaabaBaBBababababaBB"}, {"aaaaabbbababaabbbabb", "aaaabAbAbbbabAbAbbAb", "aaabaBBaBababababaBB"}, {"aaaaabbbababaabbbbab", "aaaabAbAbbbabAbAbAbb", "aaabaBBBaababababaBB"}, {"aaaaabbbabababaabbbb", "aaaabaBaBaBabbbbaBaB", "aaaabaBBBababababaBB"}, {"aaaaabbbababababaBBB", "aaaaabbbbababababaBB", "aaaaabAbAbbbbbaBaBaB"}, {"aaaaabbbababababABBB", "aaaaabAbAbbbbbABaBaB", "aaaabABBBaBaBaBaBabb"}, {"aaaaabbbabababaBabbb", "aaaabbaBBababababaBB", "aaaabAbaBaBabbbbaBaB"}, {"aaaaabbbabababaBAbbb", "aaaabAbAbbbbaBAbAbAb", "aaaabABBBababababaBB"}, {"aaaaabbbabababaBABBB", "aaaaabAbAbbbbaBBaBaB", "aaaabAbbbababababaBB"}, {"aaaaabbbabababaBBabb", "aaaabbbaBababababaBB", "aaaabAbAbaBabbbbaBaB"}, {"aaaaabbbabababaBBAbb", "aaaabbABBababababaBB", "aaaabAbAbbbbaBaBAbAb"}, {"aaaaabbbabababaBBABB", "aaaaabAbAbbbbaBaBBaB", "aaaabbAbbababababaBB"}, {"aaaaabbbabababaBBBab", "aaaabbababababAAbbbb", "aaaabAbAbbbbaBaBaBab"}, {"aaaaabbbabababaBBBAb", "aaaabbbABababababaBB", "aaaabAbAbbbbaBaBaBAb"}, {"aaaaabbbabababaBBBAB", "aaaaabAbAbbbbaBaBaBB", "aaaabbbAbababababaBB"}, {"aaaaabbbabababbaabbb", "aaaabaBababaBBBBabab", "aaabaBabbaBaBaBaBabb"}, {"aaaaabbbabababbabaBB", "aaaaabAbAbbbbAbbaBaB", "aaabaaBBBaBaBaBaBabb"}, {"aaaaabbbabababbabbaB", "aaaaabAbAbbbbAbbAbaB", "aaababaBBaBaBaBaBabb"}, {"aaaaabbbabababbabbAb", "aaaabaababbaBBBBabab", "aaababbAbaBaBaBaBabb"}, {"aaaaabbbabababbabbAB", "aaaaabAbAbbbbAbbAbAB", "aaababbABaBaBaBaBabb"}, {"aaaaabbbabababbabAbb", "aaaabaabbabaBBBBabab", "aaababAbbaBaBaBaBabb"}, {"aaaaabbbabababbabABB", "aaaaabAbAbbbbAbbABaB", "aaababABBaBaBaBaBabb"}, {"aaaaabbbabababbaBabb", "aaaabaBABabaBBBBabab", "aaabaBBabaBaBaBaBabb"}, {"aaaaabbbabababbaBAbb", "aaaabaBAbabaBBBBabab", "aaabaBAbbaBaBaBaBabb"}, {"aaaaabbbabababbaBABB", "aaaaabAbAbbbbAbaBBaB", "aaabaBABBaBaBaBaBabb"}, {"aaaaabbbabababbaBBab", "aaaabaBABABaBBBBabab", "aaabaBBBaaBaBaBaBabb"}, {"aaaaabbbabababbaBBAb", "aaaabaBABAbaBBBBabab", "aaabaBBAbaBaBaBaBabb"}, {"aaaaabbbabababbaBBAB", "aaaaabAbAbbbbAbaBaBB", "aaabaBBABaBaBaBaBabb"}, {"aaaaabbbabababbbaabb", "aaaababaBabaBBBBabab", "aaabbaBabaBaBaBaBabb"}, {"aaaaabbbabababbbabaB", "aaaaabAbAbbbbAbAbbaB", "aaabbaaBBaBaBaBaBabb"}, {"aaaaabbbabababbbabAb", "aaaababaabbaBBBBabab", "aaabbabAbaBaBaBaBabb"}, {"aaaaabbbabababbbabAB", "aaaaabAbAbbbbAbAbbAB", "aaabbabABaBaBaBaBabb"}, {"aaaaabbbabababbbaBab", "aaaababaBABaBBBBabab", "aaabbaBBaaBaBaBaBabb"}, {"aaaaabbbabababbbaBAb", "aaaababaBAbaBBBBabab", "aaabbaBAbaBaBaBaBabb"}, {"aaaaabbbabababbbaBAB", "aaaaabAbAbbbbAbAbaBB", "aaabbaBABaBaBaBaBabb"}, {"aaaaabbbabababbbbaab", "aaaabababaBaBBBBabab", "aaabbbaBaaBaBaBaBabb"}, {"aaaaabbbabababbbAbab", "aaaabababbaaBBBBabab", "aaabaBBABABABABaaBBB"}, {"aaaaabbbabababbbABab", "aaaabababABaBBBBabab", "aaabbbABaaBaBaBaBabb"}, {"aaaaabbbabababbbABAb", "aaaabababAbaBBBBabab", "aaabbaBABABABABaaBBB"}, {"aaaaabbbabababbbABAB", "aaaaabAbAbbbbAbAbABB", "aaabbbAABaBaBaBaBabb"}, {"aaaaabbbabababbAbabb", "aaaababbaabaBBBBabab", "aaabbAbabaBaBaBaBabb"}, {"aaaaabbbabababbAbbab", "aaaababbabaaBBBBabab", "aaabbAbbaaBaBaBaBabb"}, {"aaaaabbbabababbABabb", "aaaababABabaBBBBabab", "aaabbABabaBaBaBaBabb"}, {"aaaaabbbabababbABAbb", "aaaababAbabaBBBBabab", "aaabbAAbbaBaBaBaBabb"}, {"aaaaabbbabababbABABB", "aaaaabAbAbbbbAbABBaB", "aaabbAABBaBaBaBaBabb"}, {"aaaaabbbabababbABBab", "aaaababABABaBBBBabab", "aaabbABBaaBaBaBaBabb"}, {"aaaaabbbabababbABBAb", "aaaababABAbaBBBBabab", "aaabbABAbaBaBaBaBabb"}, {"aaaaabbbabababbABBAB", "aaaaabAbAbbbbAbABaBB", "aaabbABABaBaBaBaBabb"}, {"aaaaabbbabababAbabbb", "aaaabbaababaBBBBabab", "aaabAbabbaBaBaBaBabb"}, {"aaaaabbbabababAbbabb", "aaaabbabaabaBBBBabab", "aaabAbbabaBaBaBaBabb"}, {"aaaaabbbabababAbbbab", "aaaabbababaaBBBBabab", "aaabbAbAbAbAbaabbbaB"}, {"aaaaabbbabababABabbb", "aaaabAbAbbbbABabAbAb", "aaabABabbaBaBaBaBabb"}, {"aaaaabbbabababABAbbb", "aaaabAbababaBBBBabab", "aaabAbAbAbAbaabbbaBB"}, {"aaaaabbbabababABABBB", "aaaaabAbAbbbbABBaBaB", "aaabababababAAbbbABB"}, {"aaaaabbbabababABBabb", "aaaabAbAbbbbABaBabAb", "aaabABBabaBaBaBaBabb"}, {"aaaaabbbabababABBAbb", "aaaabAbAbbbbABaBAbAb", "aaabABAbbaBaBaBaBabb"}, {"aaaaabbbabababABBABB", "aaaaabAbAbbbbABaBBaB", "aaabABABBaBaBaBaBabb"}, {"aaaaabbbabababABBBab", "aaaabAbAbbbbABaBaBab", "aaabbababababAAbbbAB"}, {"aaaaabbbabababABBBAb", "aaaabAbAbbbbABaBaBAb", "aaabABBAbaBaBaBaBabb"}, {"aaaaabbbabababABBBAB", "aaaaabAbAbbbbABaBaBB", "aaabABBABaBaBaBaBabb"}, {"aaaaabbbababaBababbb", "aaaabAbAbbbaBabbAbAb", "aaabbaaBBababababaBB"}, {"aaaaabbbababaBabbabb", "aaaabAbAbbbaBabAbbAb", "aaabbaBaBababababaBB"}, {"aaaaabbbababaBabbbab", "aaaabAbAbbbaBabAbAbb", "aaabbaBBaababababaBB"}, {"aaaaabbbababaBAbabbb", "aaaabAbAbbbaBAbbAbAb", "aaabABaBBababababaBB"}, {"aaaaabbbababaBAbbabb", "aaaabAbAbbbaBAbAbbAb", "aaabABBaBababababaBB"}, {"aaaaabbbababaBAbbbab", "aaaabAbAbbbaBAbAbAbb", "aaabbAbAbAbAbaabbbAB"}, {"aaaaabbbababaBABabbb", "aaaabAbAbbbaBBabAbAb", "aaabAbaBBababababaBB"}, {"aaaaabbbababaBABAbbb", "aaaabAbAbbbaBBAbAbAb", "aaabAbAbAbAbaabbbABB"}, {"aaaaabbbababaBABABBB", "aaaaabAbAbbbaBBBaBaB", "aaabababababAAbbbaBB"}, {"aaaaabbbababaBABBabb", "aaaabAbAbbbaBBaBabAb", "aaabAbbaBababababaBB"}, {"aaaaabbbababaBABBAbb", "aaaabAbAbbbaBBaBAbAb", "aaabAbABBababababaBB"}, {"aaaaabbbababaBABBABB", "aaaaabAbAbbbaBBaBBaB", "aaabAbAbbababababaBB"}, {"aaaaabbbababaBABBBab", "aaaabAbAbbbaBBaBaBab", "aaabbababababAAbbbaB"}, {"aaaaabbbababaBABBBAb", "aaaabAbAbbbaBBaBaBAb", "aaabAbbABababababaBB"}, {"aaaaabbbababaBABBBAB", "aaaaabAbAbbbaBBaBaBB", "aaabAbbAbababababaBB"}, {"aaaaabbbababaBBababb", "aaaabAbAbbbaBaBabbAb", "aaabbbaaBababababaBB"}, {"aaaaabbbababaBBabbab", "aaaabAbAbbbaBaBabAbb", "aaabbbaBaababababaBB"}, {"aaaaabbbababaBBAbabb", "aaaabAbAbbbaBaBAbbAb", "aaabbABaBababababaBB"}, {"aaaaabbbababaBBAbbab", "aaaabAbAbbbaBaBAbAbb", "aaabbABBaababababaBB"}, {"aaaaabbbababaBBABabb", "aaaabAbAbbbaBaBBabAb", "aaabbAbaBababababaBB"}, {"aaaaabbbababaBBABAbb", "aaaabAbAbbbaBaBBAbAb", "aaabbAABBababababaBB"}, {"aaaaabbbababaBBABABB", "aaaaabAbAbbbaBaBBBaB", "aaabbAAbbababababaBB"}, {"aaaaabbbababaBBABBab", "aaaabAbAbbbaBaBBaBab", "aaabbAbbaababababaBB"}, {"aaaaabbbababaBBABBAb", "aaaabAbAbbbaBaBBaBAb", "aaabbAbABababababaBB"}, {"aaaaabbbababaBBABBAB", "aaaaabAbAbbbaBaBBaBB", "aaabbAbAbababababaBB"}, {"aaaaabbbababaBBBabab", "aaaabbbababababAAbbb", "aaaabAbAbbbaBaBaBabb"}, {"aaaaabbbababaBBBAbab", "aaaabAbAbbbaBaBaBAbb", "aaabbbABaababababaBB"}, {"aaaaabbbababaBBBABab", "aaaabAbAbbbaBaBaBBab", "aaabaBBaBaBaBaBAABBB"}, {"aaaaabbbababaBBBABAb", "aaaabAbAbbbaBaBaBBAb", "aaabbbAABababababaBB"}, {"aaaaabbbababaBBBABAB", "aaaaabAbAbbbaBaBaBBB", "aaabbaBaBaBaBaBAABBB"}, {"aaaaabbbababbaababbb", "aaaabAbAbbbAbabbAbAb", "aabaBaabbaBaBaBaBabb"}, {"aaaaabbbababbaabbabb", "aaaabAbAbbbAbabAbbAb", "aabaBababaBaBaBaBabb"}, {"aaaaabbbababbaabbbab", "aaaabAbAbbbAbabAbAbb", "aababababaBBaaBabaBB"}, {"aaaaabbbababbabaabbb", "aaaabAbAbbbAbbabAbAb", "aabaaBabbaBaBaBaBabb"}, {"aaaaabbbababbababaBB", "aaaaabAbAbbbAbbbaBaB", "aaabababababAAbbAbbb"}, {"aaaaabbbababbababbaB", "aaaaabAbAbbbAbbbAbaB", "aabaabaBBaBaBaBaBabb"}, {"aaaaabbbababbababbAb", "aaaabAbAbbbAbbbAbAAb", "aabaabbAbaBaBaBaBabb"}, {"aaaaabbbababbababbAB", "aaaaabAbAbbbAbbbAbAB", "aabaabbABaBaBaBaBabb"}, {"aaaaabbbababbababAbb", "aaaabAbAbbbAbbbAAbAb", "aabaabAbbaBaBaBaBabb"}, {"aaaaabbbababbababABB", "aaaaabAbAbbbAbbbABaB", "aabaabABBaBaBaBaBabb"}, {"aaaaabbbababbabaBabb", "aaaabAbAbbbAbbaBabAb", "aabaaBBabaBaBaBaBabb"}, {"aaaaabbbababbabaBAbb", "aaaabAbAbbbAbbaBAbAb", "aabaaBAbbaBaBaBaBabb"}, {"aaaaabbbababbabaBABB", "aaaaabAbAbbbAbbaBBaB", "aabaaBABBaBaBaBaBabb"}, {"aaaaabbbababbabaBBab", "aaaabAbAbbbAbbaBaBab", "aaabbababababAAbbAbb"}, {"aaaaabbbababbabaBBAb", "aaaabAbAbbbAbbaBaBAb", "aabaaBBAbaBaBaBaBabb"}, {"aaaaabbbababbabaBBAB", "aaaaabAbAbbbAbbaBaBB", "aabaaBBABaBaBaBaBabb"}, {"aaaaabbbababbabbaabb", "aaaabAbAbbbAbbAbabAb", "aababaBabaBaBaBaBabb"}, {"aaaaabbbababbabbabaB", "aaaaabAbAbbbAbbAbbaB", "aababaaBBaBaBaBaBabb"}, {"aaaaabbbababbabbabAb", "aaaabAbAbbbAbbAbbAAb", "aabababAbaBaBaBaBabb"}, {"aaaaabbbababbabbabAB", "aaaaabAbAbbbAbbAbbAB", "aabababABaBaBaBaBabb"}, {"aaaaabbbababbabbaBab", "aaaabAbAbbbAbbAbaBab", "aababababaBBaaBaBabb"}, {"aaaaabbbababbabbaBAb", "aaaabAbAbbbAbbAbaBAb", "aababaBAbaBaBaBaBabb"}, {"aaaaabbbababbabbaBAB", "aaaaabAbAbbbAbbAbaBB", "aababaBABaBaBaBaBabb"}, {"aaaaabbbababbabbbaab", "aaaabAbAbbbAbbAbAbab", "aababababaBBaaBaBBab"}, {"aaaaabbbababbabbAbab", "aaaabAbAbbbAbbAbAAbb", "aababababaBBaaBaBBAB"}, {"aaaaabbbababbabbABab", "aaaabAbAbbbAbbAbABab", "aababababaBBaaBaBBAb"}, {"aaaaabbbababbabbABAb", "aaaabAbAbbbAbbAbABAb", "aababbAAbaBaBaBaBabb"}, {"aaaaabbbababbabbABAB", "aaaaabAbAbbbAbbAbABB", "aababbAABaBaBaBaBabb"}, {"aaaaabbbababbabAbabb", "aaaabAbAbbbAbbAAbbAb", "aababAbabaBaBaBaBabb"}, {"aaaaabbbababbabAbbab", "aaaabAbAbbbAbbAAbAbb", "aababababaBBaaBaBABB"}, {"aaaaabbbababbabABabb", "aaaabAbAbbbAbbABabAb", "aababABabaBaBaBaBabb"}, {"aaaaabbbababbabABAbb", "aaaabAbAbbbAbbABAbAb", "aababAAbbaBaBaBaBabb"}, {"aaaaabbbababbabABABB", "aaaaabAbAbbbAbbABBaB", "aabababababAAbbAbABB"}, {"aaaaabbbababbabABBab", "aaaabAbAbbbAbbABaBab", "aababababaBBaaBaBAbb"}, {"aaaaabbbababbabABBAb", "aaaabAbAbbbAbbABaBAb", "aababABAbaBaBaBaBabb"}, {"aaaaabbbababbabABBAB", "aaaaabAbAbbbAbbABaBB", "aababABABaBaBaBaBabb"}, {"aaaaabbbababbaBababb", "aaaabAbAbbbAbaBabbAb", "aabaBaBaBaBabbaabaBB"}, {"aaaaabbbababbaBabbab", "aaaabAbAbbbAbaBabAbb", "aababababaBBaaBabbaB"}, {"aaaaabbbababbaBAbabb", "aaaabAbAbbbAbaBAbbAb", "aabaBAbabaBaBaBaBabb"}, {"aaaaabbbababbaBAbbab", "aaaabAbAbbbAbaBAbAbb", "aababababaBBaaBabABB"}, {"aaaaabbbababbaBABabb", "aaaabAbAbbbAbaBBabAb", "aabaBABabaBaBaBaBabb"}, {"aaaaabbbababbaBABAbb", "aaaabAbAbbbAbaBBAbAb", "aabaBAAbbaBaBaBaBabb"}, {"aaaaabbbababbaBABABB", "aaaaabAbAbbbAbaBBBaB", "aabababababAAbbAbaBB"}, {"aaaaabbbababbaBABBab", "aaaabAbAbbbAbaBBaBab", "aababababaBBaaBabAbb"}, {"aaaaabbbababbaBABBAb", "aaaabAbAbbbAbaBBaBAb", "aabaBABAbaBaBaBaBabb"}, {"aaaaabbbababbaBABBAB", "aaaaabAbAbbbAbaBBaBB", "aabaBABABaBaBaBaBabb"}, {"aaaaabbbababbaBBabab", "aaaabAbAbbbAbaBaBabb", "aaababababaBBaaBabbb"}, {"aaaaabbbababbaBBAbab", "aaaabAbAbbbAbaBaBAbb", "aababababaBBaaBabbAB"}, {"aaaaabbbababbaBBABab", "aaaabAbAbbbAbaBaBBab", "aababababaBBaaBabbAb"}, {"aaaaabbbababbaBBABAb", "aaaabAbAbbbAbaBaBBAb", "aabaBBAAbaBaBaBaBabb"}, {"aaaaabbbababbaBBABAB", "aaaaabAbAbbbAbaBaBBB", "aabaBBAABaBaBaBaBabb"}, {"aaaaabbbababbbaababb", "aaaabAbAbbbAbAbabbAb", "aabaBaBaBaBabbaabbaB"}, {"aaaaabbbababbbaabbab", "aaaabAbAbbbAbAbabAbb", "aababababaBBaaBBabaB"}, {"aaaaabbbababbbabaabb", "aaaabAbAbbbAbAbbabAb", "aabaBababababaBBaaBB"}, {"aaaaabbbababbbababaB", "aaaaabAbAbbbAbAbbbaB", "aaabbababababaBBaaBB"}, {"aaaaabbbababbbababAb", "aaaabAbAbbbAbAbbbAAb", "aabbaabbaBabAbAbAbAb"}, {"aaaaabbbababbbababAB", "aaaaabAbAbbbAbAbbbAB", "aabbaabbaBAbAbAbAbAb"}, {"aaaaabbbababbbabaBab", "aaaabAbAbbbAbAbbaBab", "aababababaBBaaBBaabb"}, {"aaaaabbbababbbabaBAb", "aaaabAbAbbbAbAbbaBAb", "aabbaabbABabAbAbAbAb"}, {"aaaaabbbababbbabaBAB", "aaaaabAbAbbbAbAbbaBB", "aabbaabbABAbAbAbAbAb"}, {"aaaaabbbababbbabbaab", "aaaabAbAbbbAbAbbAbab", "aababababaBBaaBBaBab"}, {"aaaaabbbababbbabAbab", "aaaabAbAbbbAbAbbAAbb", "aababababaBBaaBBaBAB"}, {"aaaaabbbababbbabABab", "aaaabAbAbbbAbAbbABab", "aababababaBBaaBBaBAb"}, {"aaaaabbbababbbabABAb", "aaaabAbAbbbAbAbbABAb", "aabaBBabAbAbAbAbaabb"}, {"aaaaabbbababbbabABAB", "aaaaabAbAbbbAbAbbABB", "aabaBBAbAbAbAbAbaabb"}, {"aaaaabbbababbbaBabab", "aaaabAbAbbbAbAbaBabb", "aaababababaBBaaBBabb"}, {"aaaaabbbababbbaBAbab", "aaaabAbAbbbAbAbaBAbb", "aababababaBBaaBBabAB"}, {"aaaaabbbababbbaBABab", "aaaabAbAbbbAbAbaBBab", "aababababaBBaaBBabAb"}, {"aaaaabbbababbbaBABAb", "aaaabAbAbbbAbAbaBBAb", "aabbaabABBabAbAbAbAb"}, {"aaaaabbbababbbaBABAB", "aaaaabAbAbbbAbAbaBBB", "aabbaabABBAbAbAbAbAb"}, {"aaaaabbbababbbbaabab", "aaaabAbAbbbAbAbAbabb", "aaababababaBBaaBBBab"}, {"aaaaabbbababbbbabaab", "aaaabAbAbbbAbAbAbbab", "aaabbAbbAbAbAbAbaabb"}, {"aaaaabbbababbbAbabab", "aaaabAbAbbbAbAbAAbbb", "aaababababaBBaaBBBAB"}, {"aaaaabbbababbbABabab", "aaaabAbAbbbAbAbABabb", "aaababababaBBaaBBBAb"}, {"aaaaabbbababbbABAbab", "aaaabAbAbbbAbAbABAbb", "aaabbaBBABABABABaaBB"}, {"aaaaabbbababbbABABab", "aaaabAbAbbbAbAbABBab", "aaabbABBABABABABaaBB"}, {"aaaaabbbababbbABABAb", "aaaabAbAbbbAbAbABBAb", "aaabbbaBABABABABaaBB"}, {"aaaaabbbababbbABABAB", "aaaaabAbAbbbAbAbABBB", "aaabbbABABABABABaaBB"}, {"aaaaabbbababbAbababb", "aaaabAbAbbbAbAAbbbAb", "aabaBaBaBaBabbaabbAb"}, {"aaaaabbbababbAbabbab", "aaaabAbAbbbAbAAbbAbb", "aababababaBBaaBBABaB"}, {"aaaaabbbababbAbbabab", "aaaabAbAbbbAbAAbAbbb", "aaababababaBBaaBBABB"}, {"aaaaabbbababbABababb", "aaaabAbAbbbAbABabbAb", "aabaBaBaBaBabbaabbAB"}, {"aaaaabbbababbABabbab", "aaaabAbAbbbAbABabAbb", "aababababaBBaaBBAbaB"}, {"aaaaabbbababbABAbabb", "aaaabAbAbbbAbABAbbAb", "aabbaaBBababAbAbAbAb"}, {"aaaaabbbababbABAbbab", "aaaabAbAbbbAbABAbAbb", "aababababaBBaaBBAABB"}, {"aaaaabbbababbABABabb", "aaaabAbAbbbAbABBabAb", "aabbaaBBAbabAbAbAbAb"}, {"aaaaabbbababbABABAbb", "aaaabAbAbbbAbABBAbAb", "aaabbABABABABAbbAAbb"}, {"aaaaabbbababbABABABB", "aaaaabAbAbbbAbABBBaB", "aaabbAbAbAbAbABBAABB"}, {"aaaaabbbababbABABBab", "aaaabAbAbbbAbABBaBab", "aababababaBBaaBBAAbb"}, {"aaaaabbbababbABABBAb", "aaaabAbAbbbAbABBaBAb", "aabaBAbAbAbAbABBAABB"}, {"aaaaabbbababbABABBAB", "aaaaabAbAbbbAbABBaBB", "aababAbAbAbAbABBAABB"}, {"aaaaabbbababbABBabab", "aaaabAbAbbbAbABaBabb", "aaababababaBBaaBBAbb"}, {"aaaaabbbababbABBAbab", "aaaabAbAbbbAbABaBAbb", "aababababaBBaaBBAbAB"}, {"aaaaabbbababbABBABab", "aaaabAbAbbbAbABaBBab", "aababababaBBaaBBAbAb"}, {"aaaaabbbababbABBABAb", "aaaabAbAbbbAbABaBBAb", "aabbaaBABBabAbAbAbAb"}, {"aaaaabbbababbABBABAB", "aaaaabAbAbbbAbABaBBB", "aabbaaBABBAbAbAbAbAb"}, {"aaaaabbbababAbababbb", "aaaabAbAbbbAAbbbAbAb", "aabbaBabbaabAbAbAbAb"}, {"aaaaabbbababAbabbabb", "aaaabAbAbbbAAbbAbbAb", "aabbaBabababAbAbAbAb"}, {"aaaaabbbababAbabbbab", "aaaabAbAbbbAAbbAbAbb", "aababababaBBaaBABaBB"}, {"aaaaabbbababAbbababb", "aaaabAbAbbbAAbAbbbAb", "aabaBaBaBaBabbaabAbb"}, {"aaaaabbbababAbbabbab", "aaaabAbAbbbAAbAbbAbb", "aababababaBBaaBABBaB"}, {"aaaaabbbababAbbbabab", "aaaabAbAbbbAAbAbAbbb", "aaababababaBBaaBABBB"}, {"aaaaabbbababABababbb", "aaaabAbAbbbABabbAbAb", "aabbaBaBaBaBabbaabAB"}, {"aaaaabbbababABabbabb", "aaaabAbAbbbABabAbbAb", "aabbaBAbababAbAbAbAb"}, {"aaaaabbbababABabbbab", "aaaabAbAbbbABabAbAbb", "aababababaBBaaBAbaBB"}, {"aaaaabbbababABAbabbb", "aaaabAbAbbbABAbbAbAb", "aabbaBBabaabAbAbAbAb"}, {"aaaaabbbababABAbbabb", "aaaabAbAbbbABAbAbbAb", "aababAbAbAbAbaabbaBB"}, {"aaaaabbbababABAbbbab", "aaaabAbAbbbABAbAbAbb", "aaabbAbAbAbAbaabbaBB"}, {"aaaaabbbababABABabbb", "aaaabAbAbbbABBabAbAb", "aabbaBBAbaabAbAbAbAb"}, {"aaaaabbbababABABAbbb", "aaaabAbAbbbABBAbAbAb", "aaabbbABABABABAbbAAb"}, {"aaaaabbbababABABABBB", "aaaaabAbAbbbABBBaBaB", "aaabababababAAbbABBB"}, {"aaaaabbbababABABBabb", "aaaabAbAbbbABBaBabAb", "aabbaBBAAbabAbAbAbAb"}, {"aaaaabbbababABABBAbb", "aaaabAbAbbbABBaBAbAb", "aabaBBAbAbAbAbABBAAB"}, {"aaaaabbbababABABBABB", "aaaaabAbAbbbABBaBBaB", "aabababababAAbbABBaB"}, {"aaaaabbbababABABBBab", "aaaabAbAbbbABBaBaBab", "aaabbababababAAbbABB"}, {"aaaaabbbababABABBBAb", "aaaabAbAbbbABBaBaBAb", "aabbaBAbAbAbAbABBAAB"}, {"aaaaabbbababABABBBAB", "aaaaabAbAbbbABBaBaBB", "aabaBaBaBaBaBAABBAbb"}, {"aaaaabbbababABBababb", "aaaabAbAbbbABaBabbAb", "aabaBaBaBaBabbaabABB"}, {"aaaaabbbababABBabbab", "aaaabAbAbbbABaBabAbb", "aababababaBBaaBAbbaB"}, {"aaaaabbbababABBAbabb", "aaaabAbAbbbABaBAbbAb", "aabbaBABababAbAbAbAb"}, {"aaaaabbbababABBAbbab", "aaaabAbAbbbABaBAbAbb", "aababababaBBaaBAbABB"}, {"aaaaabbbababABBABabb", "aaaabAbAbbbABaBBabAb", "aabbaBABAbabAbAbAbAb"}, {"aaaaabbbababABBABAbb", "aaaabAbAbbbABaBBAbAb", "aabbaBABBaabAbAbAbAb"}, {"aaaaabbbababABBABABB", "aaaaabAbAbbbABaBBBaB", "aabababababAAbbABaBB"}, {"aaaaabbbababABBABBab", "aaaabAbAbbbABaBBaBab", "aababababaBBaaBAbAbb"}, {"aaaaabbbababABBABBAb", "aaaabAbAbbbABaBBaBAb", "aabbaBABABabAbAbAbAb"}, {"aaaaabbbababABBABBAB", "aaaaabAbAbbbABaBBaBB", "aabbaBABABAbAbAbAbAb"}, {"aaaaabbbababABBBabab", "aaaabAbAbbbABaBaBabb", "aaababababaBBaaBAbbb"}, {"aaaaabbbababABBBAbab", "aaaabAbAbbbABaBaBAbb", "aababababaBBaaBAbbAB"}, {"aaaaabbbababABBBABab", "aaaabAbAbbbABaBaBBab", "aababababaBBaaBAbbAb"}, {"aaaaabbbababABBBABAb", "aaaabAbAbbbABaBaBBAb", "aabbaBAABBabAbAbAbAb"}, {"aaaaabbbababABBBABAB", "aaaaabAbAbbbABaBaBBB", "aabbaBaBaBaBaBAABBAb"}, {"aaaaabbbabaBabababbb", "aaaabAbAbbaBabbbAbAb", "aaabbaBaBaBaBabbaaBB"}, {"aaaaabbbabaBababbabb", "aaaabAbAbbaBabbAbbAb", "aababaBaBaBaBabbaaBB"}, {"aaaaabbbabaBababbbab", "aaaabAbAbbaBabbAbAbb", "aababababaBBaabbaaBB"}, {"aaaaabbbabaBabbababb", "aaaabAbAbbaBabAbbbAb", "aabaBaBaBaBabbaaBBab"}, {"aaaaabbbabaBabbabbab", "aaaabAbAbbaBabAbbAbb", "aababababaBBaabbaBaB"}, {"aaaaabbbabaBabbbabab", "aaaabAbAbbaBabAbAbbb", "aaababababaBBaabbaBB"}, {"aaaaabbbabaBAbababbb", "aaaabAbAbbaBAbbbAbAb", "aabbaBaBaBaBabbaaBAb"}, {"aaaaabbbabaBAbabbabb", "aaaabAbAbbaBAbbAbbAb", "aabbABabababAbAbAbAb"}, {"aaaaabbbabaBAbabbbab", "aaaabAbAbbaBAbbAbAbb", "aababababaBBaabABaBB"}, {"aaaaabbbabaBAbbababb", "aaaabAbAbbaBAbAbbbAb", "aabaBaBaBaBabbaaBAbb"}, {"aaaaabbbabaBAbbabbab", "aaaabAbAbbaBAbAbbAbb", "aababababaBBaabABBaB"}, {"aaaaabbbabaBAbbbabab", "aaaabAbAbbaBAbAbAbbb", "aaababababaBBaabABBB"}, {"aaaaabbbabaBABababbb", "aaaabAbAbbaBBabbAbAb", "aabbaBaBaBaBabbaaBAB"}, {"aaaaabbbabaBABabbabb", "aaaabAbAbbaBBabAbbAb", "aabbABAbababAbAbAbAb"}, {"aaaaabbbabaBABabbbab", "aaaabAbAbbaBBabAbAbb", "aababababaBBaabAbaBB"}, {"aaaaabbbabaBABAbabbb", "aaaabAbAbbaBBAbbAbAb", "aabbABBabaabAbAbAbAb"}, {"aaaaabbbabaBABAbbabb", "aaaabAbAbbaBBAbAbbAb", "aababAbAbAbAbaabbABB"}, {"aaaaabbbabaBABAbbbab", "aaaabAbAbbaBBAbAbAbb", "aaabbAbAbAbAbaabbABB"}, {"aaaaabbbabaBABABabbb", "aaaabAbAbbaBBBabAbAb", "aabbABBAbaabAbAbAbAb"}, {"aaaaabbbabaBABABAbbb", "aaaabAbAbbaBBBAbAbAb", "aaabbbABABABABAbbAAB"}, {"aaaaabbbabaBABABABBB", "aaaaabAbAbbaBBBBaBaB", "aaabababababAAbbaBBB"}, {"aaaaabbbabaBABABBabb", "aaaabAbAbbaBBBaBabAb", "aabbABAbAbAbAbABBAAb"}, {"aaaaabbbabaBABABBAbb", "aaaabAbAbbaBBBaBAbAb", "aabaBBAbAbAbAbABBAAb"}, {"aaaaabbbabaBABABBABB", "aaaaabAbAbbaBBBaBBaB", "aabababababAAbbaBBaB"}, {"aaaaabbbabaBABABBBab", "aaaabAbAbbaBBBaBaBab", "aaabbababababAAbbaBB"}, {"aaaaabbbabaBABABBBAb", "aaaabAbAbbaBBBaBaBAb", "aabbaBAbAbAbAbABBAAb"}, {"aaaaabbbabaBABABBBAB", "aaaaabAbAbbaBBBaBaBB", "aabaBaBaBaBaBAABBabb"}, {"aaaaabbbabaBABBababb", "aaaabAbAbbaBBaBabbAb", "aabaBaBaBaBabbaaBABB"}, {"aaaaabbbabaBABBabbab", "aaaabAbAbbaBBaBabAbb", "aababababaBBaabAbbaB"}, {"aaaaabbbabaBABBAbabb", "aaaabAbAbbaBBaBAbbAb", "aabbABABababAbAbAbAb"}, {"aaaaabbbabaBABBAbbab", "aaaabAbAbbaBBaBAbAbb", "aababababaBBaabAbABB"}, {"aaaaabbbabaBABBABabb", "aaaabAbAbbaBBaBBabAb", "aabbABABAbabAbAbAbAb"}, {"aaaaabbbabaBABBABAbb", "aaaabAbAbbaBBaBBAbAb", "aabbABABABABAbbAABaB"}, {"aaaaabbbabaBABBABABB", "aaaaabAbAbbaBBaBBBaB", "aabababababAAbbaBaBB"}, {"aaaaabbbabaBABBABBab", "aaaabAbAbbaBBaBBaBab", "aababababaBBaabAbAbb"}, {"aaaaabbbabaBABBABBAb", "aaaabAbAbbaBBaBBaBAb", "aabbABABABabAbAbAbAb"}, {"aaaaabbbabaBABBABBAB", "aaaaabAbAbbaBBaBBaBB", "aabbABABABAbAbAbAbAb"}, {"aaaaabbbabaBABBBabab", "aaaabAbAbbaBBaBaBabb", "aaababababaBBaabAbbb"}, {"aaaaabbbabaBABBBAbab", "aaaabAbAbbaBBaBaBAbb", "aababababaBBaabAbbAB"}, {"aaaaabbbabaBABBBABab", "aaaabAbAbbaBBaBaBBab", "aababababaBBaabAbbAb"}, {"aaaaabbbabaBABBBABAb", "aaaabAbAbbaBBaBaBBAb", "aabbABaBaBaBaBAABBab"}, {"aaaaabbbabaBABBBABAB", "aaaaabAbAbbaBBaBaBBB", "aabbaBaBaBaBaBAABBab"}, {"aaaaabbbabaBBabababb", "aaaabAbAbbaBaBabbbAb", "aaabaBaBaBaBabbaaBBB"}, {"aaaaabbbabaBBababbab", "aaaabAbAbbaBaBabbAbb", "aaabbAbbababababAAbb"}, {"aaaaabbbabaBBabbabab", "aaaabAbAbbaBaBabAbbb", "aaababababaBBaabbbaB"}, {"aaaaabbbabaBBAbababb", "aaaabAbAbbaBaBAbbbAb", "aabaBaBaBaBabbaaBBAb"}, {"aaaaabbbabaBBAbabbab", "aaaabAbAbbaBaBAbbAbb", "aababababaBBaabbABaB"}, {"aaaaabbbabaBBAbbabab", "aaaabAbAbbaBaBAbAbbb", "aaababababaBBaabbABB"}, {"aaaaabbbabaBBABababb", "aaaabAbAbbaBaBBabbAb", "aabaBaBaBaBabbaaBBAB"}, {"aaaaabbbabaBBABabbab", "aaaabAbAbbaBaBBabAbb", "aababababaBBaabbAbaB"}, {"aaaaabbbabaBBABAbabb", "aaaabAbAbbaBaBBAbbAb", "aabbAABaBababababaBB"}, {"aaaaabbbabaBBABAbbab", "aaaabAbAbbaBaBBAbAbb", "aababababaBBaabbAABB"}, {"aaaaabbbabaBBABABabb", "aaaabAbAbbaBaBBBabAb", "aabbaBABaBaBaBaBAABB"}, {"aaaaabbbabaBBABABAbb", "aaaabAbAbbaBaBBBAbAb", "aaabbABABABABAbbAABB"}, {"aaaaabbbabaBBABABABB", "aaaaabAbAbbaBaBBBBaB", "aaabbAbAbAbAbABBAAbb"}, {"aaaaabbbabaBBABABBab", "aaaabAbAbbaBaBBBaBab", "aababababaBBaabbAAbb"}, {"aaaaabbbabaBBABABBAb", "aaaabAbAbbaBaBBBaBAb", "aabaBAbAbAbAbABBAAbb"}, {"aaaaabbbabaBBABABBAB", "aaaaabAbAbbaBaBBBaBB", "aababAbAbAbAbABBAAbb"}, {"aaaaabbbabaBBABBabab", "aaaabAbAbbaBaBBaBabb", "aaababababaBBaabbAbb"}, {"aaaaabbbabaBBABBAbab", "aaaabAbAbbaBaBBaBAbb", "aababababaBBaabbAbAB"}, {"aaaaabbbabaBBABBABab", "aaaabAbAbbaBaBBaBBab", "aababababaBBaabbAbAb"}, {"aaaaabbbabaBBABBABAb", "aaaabAbAbbaBaBBaBBAb", "aababbABaBaBaBaBAABB"}, {"aaaaabbbabaBBABBABAB", "aaaaabAbAbbaBaBBaBBB", "aababbaBaBaBaBaBAABB"}, {"aaaaabbbabaBBBababab", "aaaababababaBBaabbbb", "aaaabAbAbbaBaBaBabbb"}, {"aaaaabbbabaBBBAbabab", "aaaabAbAbbaBaBaBAbbb", "aaababababaBBaabbbAB"}, {"aaaaabbbabaBBBABabab", "aaaabAbAbbaBaBaBBabb", "aaababababaBBaabbbAb"}, {"aaaaabbbabaBBBABAbab", "aaaabAbAbbaBaBaBBAbb", "aaabbABBaBaBaBaBAABB"}, {"aaaaabbbabaBBBABABab", "aaaabAbAbbaBaBaBBBab", "aaabbaBBaBaBaBaBAABB"}, {"aaaaabbbabaBBBABABAb", "aaaabAbAbbaBaBaBBBAb", "aaabbbABaBaBaBaBAABB"}, {"aaaaabbbabaBBBABABAB", "aaaaabAbAbbaBaBaBBBB", "aaabbbaBaBaBaBaBAABB"}, {"aaaaabbbabbaabababbb", "aaaabAbAbbAbabbbAbAb", "aaabbaBaBaBaBabbabaB"}, {"aaaaabbbabbaababbabb", "aaaabAbAbbAbabbAbbAb", "aababaBaBaBaBabbabaB"}, {"aaaaabbbabbaababbbab", "aaaabAbAbbAbabbAbAbb", "aababababaBBaBabaaBB"}, {"aaaaabbbabbaabbababb", "aaaabAbAbbAbabAbbbAb", "aababAbabbabAbAbAbAb"}, {"aaaaabbbabbaabbabbab", "aaaabAbAbbAbabAbbAbb", "aababababaBBaBabaBaB"}, {"aaaaabbbabbaabbbabab", "aaaabAbAbbAbabAbAbbb", "aaababababaBBaBabaBB"}, {"aaaaabbbabbabaababbb", "aaaabAbAbbAbbabbAbAb", "aabaaBBababababaBBaB"}, {"aaaaabbbabbabaabbabb", "aaaabAbAbbAbbabAbbAb", "aababbAbababAbAbAbAb"}, {"aaaaabbbabbabaabbbab", "aaaabAbAbbAbbabAbAbb", "aababababaBBaBaabaBB"}, {"aaaaabbbabbababaabbb", "aaaabAbAbbAbbbabAbAb", "aaabaBBababababaBBaB"}, {"aaaaabbbabbabababaBB", "aaaaabAbAbbAbbbbaBaB", "aaaabbbababababaBBaB"}, {"aaaaabbbabbabababbaB", "aaaaabAbAbbAbbbbAbaB", "aaabaBBaBaBaBaBabbab"}, {"aaaaabbbabbabababbAb", "aaaababbaBBBBababaab", "aaabbAbaBaBaBaBabbab"}, {"aaaaabbbabbabababbAB", "aaaaabAbAbbAbbbbAbAB", "aaabbABaBaBaBaBabbab"}, {"aaaaabbbabbabababAbb", "aaaabbabaBBBBababaab", "aaabAbbaBaBaBaBabbab"}, {"aaaaabbbabbabababABB", "aaaaabAbAbbAbbbbABaB", "aaabABBaBaBaBaBabbab"}, {"aaaaabbbabbababaBabb", "aaaabAbAbbAbbbaBabAb", "aaabbaBababababaBBaB"}, {"aaaaabbbabbababaBAbb", "aaaabAbAbbAbbbaBAbAb", "aaabABBababababaBBaB"}, {"aaaaabbbabbababaBABB", "aaaaabAbAbbAbbbaBBaB", "aaabAbbababababaBBaB"}, {"aaaaabbbabbababaBBab", "aaaabAbAbbAbbbaBaBab", "aaabbababababAAbAbbb"}, {"aaaaabbbabbababaBBAb", "aaaabAbAbbAbbbaBaBAb", "aaabbABababababaBBaB"}, {"aaaaabbbabbababaBBAB", "aaaaabAbAbbAbbbaBaBB", "aaabbAbababababaBBaB"}, {"aaaaabbbabbababbaabb", "aaaabAbAbbAbbbAbabAb", "aababbabAbabAbAbAbAb"}, {"aaaaabbbabbababbabaB", "aaaaabAbAbbAbbbAbbaB", "aabaaBBaBaBaBaBabbab"}, {"aaaaabbbabbababbabAb", "aaaabAbAbbAbbbAbbAAb", "aababbabaBabAbAbAbAb"}, {"aaaaabbbabbababbabAB", "aaaaabAbAbbAbbbAbbAB", "aababbabaBAbAbAbAbAb"}, {"aaaaabbbabbababbaBab", "aaaabAbAbbAbbbAbaBab", "aababababaBBaBaaBabb"}, {"aaaaabbbabbababbaBAb", "aaaabAbAbbAbbbAbaBAb", "aababbabABabAbAbAbAb"}, {"aaaaabbbabbababbaBAB", "aaaaabAbAbbAbbbAbaBB", "aababbabABAbAbAbAbAb"}, {"aaaaabbbabbababbbaab", "aaaabAbAbbAbbbAbAbab", "aababababaBBaBaaBBab"}, {"aaaaabbbabbababbAbab", "aaaabAbAbbAbbbAbAAbb", "aababababaBBaBaaBBAB"}, {"aaaaabbbabbababbABab", "aaaabAbAbbAbbbAbABab", "aababababaBBaBaaBBAb"}, {"aaaaabbbabbababbABAb", "aaaabAbAbbAbbbAbABAb", "aababbaaBBabAbAbAbAb"}, {"aaaaabbbabbababbABAB", "aaaaabAbAbbAbbbAbABB", "aababbaaBBAbAbAbAbAb"}, {"aaaaabbbabbababAbabb", "aaaabAbAbbAbbbAAbbAb", "aababbaBababAbAbAbAb"}, {"aaaaabbbabbababAbbab", "aaaabAbAbbAbbbAAbAbb", "aababababaBBaBaaBABB"}, {"aaaaabbbabbababABabb", "aaaabAbAbbAbbbABabAb", "aababbaBAbabAbAbAbAb"}, {"aaaaabbbabbababABAbb", "aaaabAbAbbAbbbABAbAb", "aababbaBBaabAbAbAbAb"}, {"aaaaabbbabbababABABB", "aaaaabAbAbbAbbbABBaB", "aabababababAAbAbbABB"}, {"aaaaabbbabbababABBab", "aaaabAbAbbAbbbABaBab", "aababababaBBaBaaBAbb"}, {"aaaaabbbabbababABBAb", "aaaabAbAbbAbbbABaBAb", "aababbaBABabAbAbAbAb"}, {"aaaaabbbabbababABBAB", "aaaaabAbAbbAbbbABaBB", "aababbaBABAbAbAbAbAb"}, {"aaaaabbbabbabaBababb", "aaaabAbAbbAbbaBabbAb", "aababbAAbbabAbAbAbAb"}, {"aaaaabbbabbabaBabbab", "aaaabAbAbbAbbaBabAbb", "aababababaBBaBaabbaB"}, {"aaaaabbbabbabaBAbabb", "aaaabAbAbbAbbaBAbbAb", "aababbABababAbAbAbAb"}, {"aaaaabbbabbabaBAbbab", "aaaabAbAbbAbbaBAbAbb", "aababababaBBaBaabABB"}, {"aaaaabbbabbabaBABabb", "aaaabAbAbbAbbaBBabAb", "aababbABAbabAbAbAbAb"}, {"aaaaabbbabbabaBABAbb", "aaaabAbAbbAbbaBBAbAb", "aababbABBaabAbAbAbAb"}, {"aaaaabbbabbabaBABABB", "aaaaabAbAbbAbbaBBBaB", "aabababababAAbAbbaBB"}, {"aaaaabbbabbabaBABBab", "aaaabAbAbbAbbaBBaBab", "aababababaBBaBaabAbb"}, {"aaaaabbbabbabaBABBAb", "aaaabAbAbbAbbaBBaBAb", "aababbABABabAbAbAbAb"}, {"aaaaabbbabbabaBABBAB", "aaaaabAbAbbAbbaBBaBB", "aababbABABAbAbAbAbAb"}, {"aaaaabbbabbabaBBabab", "aaaabAbAbbAbbaBaBabb", "aaababababaBBaBaabbb"}, {"aaaaabbbabbabaBBAbab", "aaaabAbAbbAbbaBaBAbb", "aababababaBBaBaabbAB"}, {"aaaaabbbabbabaBBABab", "aaaabAbAbbAbbaBaBBab", "aababababaBBaBaabbAb"}, {"aaaaabbbabbabaBBABAb", "aaaabAbAbbAbbaBaBBAb", "aababbAABBabAbAbAbAb"}, {"aaaaabbbabbabaBBABAB", "aaaaabAbAbbAbbaBaBBB", "aababbAABBAbAbAbAbAb"}, {"aaaaabbbabbabbaababb", "aaaabAbAbbAbbAbabbAb", "aabababAbbabAbAbAbAb"}, {"aaaaabbbabbabbaabbab", "aaaabAbAbbAbbAbabAbb", "aababababaBBaBaBabaB"}, {"aaaaabbbabbabbabaabb", "aaaabAbAbbAbbAbbabAb", "aabababbAbabAbAbAbAb"}, {"aaaaabbbabbabbababaB", "aaaaabAbAbbAbbAbbbaB", "aaabbababababaBBaBaB"}, {"aaaaabbbabbabbababAb", "aaaabAbAbbAbbAbbbAAb", "aabababbaBabAbAbAbAb"}, {"aaaaabbbabbabbababAB", "aaaaabAbAbbAbbAbbbAB", "aabababbaBAbAbAbAbAb"}, {"aaaaabbbabbabbabaBab", "aaaabAbAbbAbbAbbaBab", "aababababaBBaBaBaabb"}, {"aaaaabbbabbabbabaBAb", "aaaabAbAbbAbbAbbaBAb", "aabababbABabAbAbAbAb"}, {"aaaaabbbabbabbabaBAB", "aaaaabAbAbbAbbAbbaBB", "aabababbABAbAbAbAbAb"}, {"aaaaabbbabbabbabbaab", "aaaabAbAbbAbbAbbAbab", "aababababaBBaBaBaBab"}, {"aaaaabbbabbabbabAbab", "aaaabAbAbbAbbAbbAAbb", "aababababaBBaBaBaBAB"}, {"aaaaabbbabbabbabABab", "aaaabAbAbbAbbAbbABab", "aababababaBBaBaBaBAb"}, {"aaaaabbbabbabbabABAb", "aaaabAbAbbAbbAbbABAb", "aabababaBBabAbAbAbAb"}, {"aaaaabbbabbabbabABAB", "aaaaabAbAbbAbbAbbABB", "aabababaBBAbAbAbAbAb"}, {"aaaaabbbabbabbaBabab", "aaaabAbAbbAbbAbaBabb", "aaababababaBBaBaBabb"}, {"aaaaabbbabbabbaBAbab", "aaaabAbAbbAbbAbaBAbb", "aababababaBBaBaBabAB"}, {"aaaaabbbabbabbaBABab", "aaaabAbAbbAbbAbaBBab", "aababababaBBaBaBabAb"}, {"aaaaabbbabbabbaBABAb", "aaaabAbAbbAbbAbaBBAb", "aabababABBabAbAbAbAb"}, {"aaaaabbbabbabbaBABAB", "aaaaabAbAbbAbbAbaBBB", "aabababABBAbAbAbAbAb"}, {"aaaaabbbabbabbbaabab", "aaaabAbAbbAbbAbAbabb", "aaababababaBBaBaBBab"}, {"aaaaabbbabbabbbabaab", "aaaabAbAbbAbbAbAbbab", "aabaababababaBBaBaBB"}, {"aaaaabbbabbabbAbabab", "aaaabAbAbbAbbAbAAbbb", "aaababababaBBaBaBBAB"}, {"aaaaabbbabbabbABabab", "aaaabAbAbbAbbAbABabb", "aaababababaBBaBaBBAb"}, {"aaaaabbbabbabbABAbab", "aaaabAbAbbAbbAbABAbb", "aababaaBBabbAbAbAbAb"}, {"aaaaabbbabbabbABABab", "aaaabAbAbbAbbAbABBab", "aababaaBBAbbAbAbAbAb"}, {"aaaaabbbabbabbABABAb", "aaaabAbAbbAbbAbABBAb", "aaabABABABABAbbAbAbb"}, {"aaaaabbbabbabbABABAB", "aaaaabAbAbbAbbAbABBB", "aaabAbAbAbAbABBABABB"}, {"aaaaabbbabbabAbababb", "aaaabAbAbbAbbAAbbbAb", "aababaBabbabAbAbAbAb"}, {"aaaaabbbabbabAbabbab", "aaaabAbAbbAbbAAbbAbb", "aababababaBBaBaBABaB"}, {"aaaaabbbabbabAbbabab", "aaaabAbAbbAbbAAbAbbb", "aaababababaBBaBaBABB"}, {"aaaaabbbabbabABababb", "aaaabAbAbbAbbABabbAb", "aababaBAbbabAbAbAbAb"}, {"aaaaabbbabbabABabbab", "aaaabAbAbbAbbABabAbb", "aababababaBBaBaBAbaB"}, {"aaaaabbbabbabABAbabb", "aaaabAbAbbAbbABAbbAb", "aababaBBababAbAbAbAb"}, {"aaaaabbbabbabABAbbab", "aaaabAbAbbAbbABAbAbb", "aababababaBBaBaBAABB"}, {"aaaaabbbabbabABABabb", "aaaabAbAbbAbbABBabAb", "aababaBBAbabAbAbAbAb"}, {"aaaaabbbabbabABABAbb", "aaaabAbAbbAbbABBAbAb", "aaabbABABABABAbbAbAb"}, {"aaaaabbbabbabABABABB", "aaaaabAbAbbAbbABBBaB", "aaabbAbAbAbAbABBABAB"}, {"aaaaabbbabbabABABBab", "aaaabAbAbbAbbABBaBab", "aababababaBBaBaBAAbb"}, {"aaaaabbbabbabABABBAb", "aaaabAbAbbAbbABBaBAb", "aababaBBABabAbAbAbAb"}, {"aaaaabbbabbabABABBAB", "aaaaabAbAbbAbbABBaBB", "aababaBBABAbAbAbAbAb"}, {"aaaaabbbabbabABBabab", "aaaabAbAbbAbbABaBabb", "aaababababaBBaBaBAbb"}, {"aaaaabbbabbabABBAbab", "aaaabAbAbbAbbABaBAbb", "aababababaBBaBaBAbAB"}, {"aaaaabbbabbabABBABab", "aaaabAbAbbAbbABaBBab", "aababababaBBaBaBAbAb"}, {"aaaaabbbabbabABBABAb", "aaaabAbAbbAbbABaBBAb", "aababaBABBabAbAbAbAb"}, {"aaaaabbbabbabABBABAB", "aaaaabAbAbbAbbABaBBB", "aababaBABBAbAbAbAbAb"}, {"aaaaabbbabbaBabababb", "aaaabAbAbbAbaBabbbAb", "aaabaBaBaBaBabbabaBB"}, {"aaaaabbbabbaBababbab", "aaaabAbAbbAbaBabbAbb", "aabaaBaBaBaBabbabaBB"}, {"aaaaabbbabbaBabbabab", "aaaabAbAbbAbaBabAbbb", "aaababababaBBaBabbaB"}, {"aaaaabbbabbaBAbababb", "aaaabAbAbbAbaBAbbbAb", "aababABabbabAbAbAbAb"}, {"aaaaabbbabbaBAbabbab", "aaaabAbAbbAbaBAbbAbb", "aababababaBBaBabABaB"}, {"aaaaabbbabbaBAbbabab", "aaaabAbAbbAbaBAbAbbb", "aaababababaBBaBabABB"}, {"aaaaabbbabbaBABababb", "aaaabAbAbbAbaBBabbAb", "aababABAbbabAbAbAbAb"}, {"aaaaabbbabbaBABabbab", "aaaabAbAbbAbaBBabAbb", "aababababaBBaBabAbaB"}, {"aaaaabbbabbaBABAbabb", "aaaabAbAbbAbaBBAbbAb", "aababABBababAbAbAbAb"}, {"aaaaabbbabbaBABAbbab", "aaaabAbAbbAbaBBAbAbb", "aababababaBBaBabAABB"}, {"aaaaabbbabbaBABABabb", "aaaabAbAbbAbaBBBabAb", "aababABBAbabAbAbAbAb"}, {"aaaaabbbabbaBABABAbb", "aaaabAbAbbAbaBBBAbAb", "aaabbABABABABAbbAbAB"}, {"aaaaabbbabbaBABABABB", "aaaaabAbAbbAbaBBBBaB", "aaabbAbAbAbAbABBABAb"}, {"aaaaabbbabbaBABABBab", "aaaabAbAbbAbaBBBaBab", "aababababaBBaBabAAbb"}, {"aaaaabbbabbaBABABBAb", "aaaabAbAbbAbaBBBaBAb", "aababABBABabAbAbAbAb"}, {"aaaaabbbabbaBABABBAB", "aaaaabAbAbbAbaBBBaBB", "aababAbAbAbAbABBABAb"}, {"aaaaabbbabbaBABBabab", "aaaabAbAbbAbaBBaBabb", "aaababababaBBaBabAbb"}, {"aaaaabbbabbaBABBAbab", "aaaabAbAbbAbaBBaBAbb", "aababababaBBaBabAbAB"}, {"aaaaabbbabbaBABBABab", "aaaabAbAbbAbaBBaBBab", "aababababaBBaBabAbAb"}, {"aaaaabbbabbaBABBABAb", "aaaabAbAbbAbaBBaBBAb", "aababABABBabAbAbAbAb"}, {"aaaaabbbabbaBABBABAB", "aaaaabAbAbbAbaBBaBBB", "aababABABBAbAbAbAbAb"}, {"aaaaabbbabbaBBababab", "aaaababababaBBaBabbb", "aaaabAbAbbAbaBaBabbb"}, {"aaaaabbbabbaBBAbabab", "aaaabAbAbbAbaBaBAbbb", "aaababababaBBaBabbAB"}, {"aaaaabbbabbaBBABabab", "aaaabAbAbbAbaBaBBabb", "aaababababaBBaBabbAb"}, {"aaaaabbbabbaBBABAbab", "aaaabAbAbbAbaBaBBAbb", "aababababaBBaBabbAAB"}, {"aaaaabbbabbaBBABABab", "aaaabAbAbbAbaBaBBBab", "aababababaBBaBabbAAb"}, {"aaaaabbbabbaBBABABAb", "aaaabAbAbbAbaBaBBBAb", "aaabABABABABAbbAbABB"}, {"aaaaabbbabbaBBABABAB", "aaaaabAbAbbAbaBaBBBB", "aaabAbAbAbAbABBABAbb"}, {"aaaaabbbabbbaabababb", "aaaabAbAbbAbAbabbbAb", "aaabaBaBaBaBabbabbaB"}, {"aaaaabbbabbbaababbab", "aaaabAbAbbAbAbabbAbb", "aabaabAbbabbAbAbAbAb"}, {"aaaaabbbabbbaabbabab", "aaaabAbAbbAbAbabAbbb", "aaababababaBBaBBabaB"}, {"aaaaabbbabbbabaababb", "aaaabAbAbbAbAbbabbAb", "aabaabbAbbabAbAbAbAb"}, {"aaaaabbbabbbabaabbab", "aaaabAbAbbAbAbbabAbb", "aabaabbAbabbAbAbAbAb"}, {"aaaaabbbabbbababaabb", "aaaabAbAbbAbAbbbabAb", "aaabaBababababaBBaBB"}, {"aaaaabbbabbbabababaB", "aaaaabAbAbbAbAbbbbaB", "aaaabbababababaBBaBB"}, {"aaaaabbbabbbabababAb", "aaaabbaBBBBababaabab", "aaabAbaBaBaBaBabbabb"}, {"aaaaabbbabbbabababAB", "aaaaabAbAbbAbAbbbbAB", "aaabABaBaBaBaBabbabb"}, {"aaaaabbbabbbababaBab", "aaaabAbAbbAbAbbbaBab", "aaabbaababababaBBaBB"}, {"aaaaabbbabbbababaBAb", "aaaabAbAbbAbAbbbaBAb", "aaabABababababaBBaBB"}, {"aaaaabbbabbbababaBAB", "aaaaabAbAbbAbAbbbaBB", "aaabAbababababaBBaBB"}, {"aaaaabbbabbbababbaab", "aaaabAbAbbAbAbbbAbab", "aabaabbabAbbAbAbAbAb"}, {"aaaaabbbabbbababAbab", "aaaabAbAbbAbAbbbAAbb", "aabaabbaBabbAbAbAbAb"}, {"aaaaabbbabbbababABab", "aaaabAbAbbAbAbbbABab", "aabaabbaBAbbAbAbAbAb"}, {"aaaaabbbabbbababABAb", "aaaabAbAbbAbAbbbABAb", "aabaabbaBBabAbAbAbAb"}, {"aaaaabbbabbbababABAB", "aaaaabAbAbbAbAbbbABB", "aabaabbaBBAbAbAbAbAb"}, {"aaaaabbbabbbabaBabab", "aaaabAbAbbAbAbbaBabb", "aaababababaBBaBBaabb"}, {"aaaaabbbabbbabaBAbab", "aaaabAbAbbAbAbbaBAbb", "aabaabbABabbAbAbAbAb"}, {"aaaaabbbabbbabaBABab", "aaaabAbAbbAbAbbaBBab", "aabaabbABAbbAbAbAbAb"}, {"aaaaabbbabbbabaBABAb", "aaaabAbAbbAbAbbaBBAb", "aabaabbABBabAbAbAbAb"}, {"aaaaabbbabbbabaBABAB", "aaaaabAbAbbAbAbbaBBB", "aabaabbABBAbAbAbAbAb"}, {"aaaaabbbabbbabbaabab", "aaaabAbAbbAbAbbAbabb", "aaababababaBBaBBaBab"}, {"aaaaabbbabbbabbabaab", "aaaabAbAbbAbAbbAbbab", "aabaababababaBBaBBaB"}, {"aaaaabbbabbbabAbabab", "aaaabAbAbbAbAbbAAbbb", "aaababababaBBaBBaBAB"}, {"aaaaabbbabbbabABabab", "aaaabAbAbbAbAbbABabb", "aaababababaBBaBBaBAb"}, {"aaaaabbbabbbabABAbab", "aaaabAbAbbAbAbbABAbb", "aabaabaBBabbAbAbAbAb"}, {"aaaaabbbabbbabABABab", "aaaabAbAbbAbAbbABBab", "aabaabaBBAbbAbAbAbAb"}, {"aaaaabbbabbbabABABAb", "aaaabAbAbbAbAbbABBAb", "aaabABABABABAbbAbbAb"}, {"aaaaabbbabbbabABABAB", "aaaaabAbAbbAbAbbABBB", "aaabAbAbAbAbABBABBAB"}, {"aaaaabbbabbbaBababab", "aaaababababaBBaBBabb", "aaaabAbAbbAbAbaBabbb"}, {"aaaaabbbabbbaBAbabab", "aaaabAbAbbAbAbaBAbbb", "aaababababaBBaBBabAB"}, {"aaaaabbbabbbaBABabab", "aaaabAbAbbAbAbaBBabb", "aaababababaBBaBBabAb"}, {"aaaaabbbabbbaBABAbab", "aaaabAbAbbAbAbaBBAbb", "aabaabABBabbAbAbAbAb"}, {"aaaaabbbabbbaBABABab", "aaaabAbAbbAbAbaBBBab", "aabaabABBAbbAbAbAbAb"}, {"aaaaabbbabbbaBABABAb", "aaaabAbAbbAbAbaBBBAb", "aaabABABABABAbbAbbAB"}, {"aaaaabbbabbbaBABABAB", "aaaaabAbAbbAbAbaBBBB", "aaabAbAbAbAbABBABBAb"}, {"aaaaabbbabbbbaababab", "aaaababababaBBaBBBab", "aaaabAbAbbAbAbAbabbb"}, {"aaaaabbbabbbbabaabab", "aaaabAbAbbAbAbAbbabb", "aaababababaBBaBBBaab"}, {"aaaaabbbabbbbababaab", "aaaabAbAbbAbAbAbbbab", "aaabaababababaBBaBBB"}, {"aaaaabbbabbbAbababab", "aaaababababaBBaBBBAB", "aaaabbbbaBaBaaBaBaBB"}, {"aaaaabbbabbbABababab", "aaaababababaBBaBBBAb", "aaaabAbAbbAbAbABabbb"}, {"aaaaabbbabbbABAbabab", "aaaabAbAbbAbAbABAbbb", "aaababababaBBaBBBAAB"}, {"aaaaabbbabbbABABabab", "aaaabAbAbbAbAbABBabb", "aaababababaBBaBBBAAb"}, {"aaaaabbbabbbABABAbab", "aaaabAbAbbAbAbABBAbb", "aaabbbaBBABABABABaaB"}, {"aaaaabbbabbbABABABab", "aaaabAbAbbAbAbABBBab", "aaabbbABBABABABABaaB"}, {"aaaaabbbabbbABABABAb", "aaaabAbAbbAbAbABBBAb", "aaaabABABABABAbbAbbb"}, {"aaaaabbbabbbABABABAB", "aaaaabAbAbbAbAbABBBB", "aaaabAbAbAbAbABBABBB"}, {"aaaaabbbabbAbabababb", "aaaabaBBBBababaababb", "aaabaBaBaBaBabbabbAb"}, {"aaaaabbbabbAbababbab", "aaaabAbAbbAbAAbbbAbb", "aabaaBabbabbAbAbAbAb"}, {"aaaaabbbabbAbabbabab", "aaaabAbAbbAbAAbbAbbb", "aaababababaBBaBBABaB"}, {"aaaaabbbabbAbbababab", "aaaababababaBBaBBABB", "aaaabbbbaBaBaaBaBBaB"}, {"aaaaabbbabbABabababb", "aaaabAbAbbAbABabbbAb", "aaabaBaBaBaBabbabbAB"}, {"aaaaabbbabbABababbab", "aaaabAbAbbAbABabbAbb", "aabaaBaBaBaBabbabbAB"}, {"aaaaabbbabbABabbabab", "aaaabAbAbbAbABabAbbb", "aaababababaBBaBBAbaB"}, {"aaaaabbbabbABAbababb", "aaaabAbAbbAbABAbbbAb", "aabaaBBabbabAbAbAbAb"}, {"aaaaabbbabbABAbabbab", "aaaabAbAbbAbABAbbAbb", "aabaaBBababbAbAbAbAb"}, {"aaaaabbbabbABAbbabab", "aaaabAbAbbAbABAbAbbb", "aaababababaBBaBBAABB"}, {"aaaaabbbabbABABababb", "aaaabAbAbbAbABBabbAb", "aabaaBBAbbabAbAbAbAb"}, {"aaaaabbbabbABABabbab", "aaaabAbAbbAbABBabAbb", "aabaaBBAbabbAbAbAbAb"}, {"aaaaabbbabbABABAbabb", "aaaabAbAbbAbABBAbbAb", "aaabAbABABABABAbbAbb"}, {"aaaaabbbabbABABAbbab", "aaaabAbAbbAbABBAbAbb", "aaabbAABABABABAbbAbb"}, {"aaaaabbbabbABABABabb", "aaaabAbAbbAbABBBabAb", "aaabABAbAbAbAbABBABB"}, {"aaaaabbbabbABABABAbb", "aaaabbABABABABAbbAbb", "aaaabAbAbbAbABBBAbAb"}, {"aaaaabbbabbABABABABB", "aaaaabAbAbbAbABBBBaB", "aaaabbAbAbAbAbABBABB"}, {"aaaaabbbabbABABABBab", "aaaabAbAbbAbABBBaBab", "aaabbAAbAbAbAbABBABB"}, {"aaaaabbbabbABABABBAb", "aaaabAbAbbAbABBBaBAb", "aaabaBAbAbAbAbABBABB"}, {"aaaaabbbabbABABABBAB", "aaaaabAbAbbAbABBBaBB", "aaababAbAbAbAbABBABB"}, {"aaaaabbbabbABABBabab", "aaaabAbAbbAbABBaBabb", "aaababababaBBaBBAAbb"}, {"aaaaabbbabbABABBAbab", "aaaabAbAbbAbABBaBAbb", "aabaaBBABabbAbAbAbAb"}, {"aaaaabbbabbABABBABab", "aaaabAbAbbAbABBaBBab", "aabaaBBABAbbAbAbAbAb"}, {"aaaaabbbabbABABBABAb", "aaaabAbAbbAbABBaBBAb", "aabaaBAbAbAbAbABBABB"}, {"aaaaabbbabbABABBABAB", "aaaaabAbAbbAbABBaBBB", "aabaabAbAbAbAbABBABB"}, {"aaaaabbbabbABBababab", "aaaababababaBBaBBAbb", "aaaabAbAbbAbABaBabbb"}, {"aaaaabbbabbABBAbabab", "aaaabAbAbbAbABaBAbbb", "aaababababaBBaBBAbAB"}, {"aaaaabbbabbABBABabab", "aaaabAbAbbAbABaBBabb", "aaababababaBBaBBAbAb"}, {"aaaaabbbabbABBABAbab", "aaaabAbAbbAbABaBBAbb", "aabaaBABBabbAbAbAbAb"}, {"aaaaabbbabbABBABABab", "aaaabAbAbbAbABaBBBab", "aabaaBABBAbbAbAbAbAb"}, {"aaaaabbbabbABBABABAb", "aaaabAbAbbAbABaBBBAb", "aaabABABABABAbbAbbaB"}, {"aaaaabbbabbABBABABAB", "aaaaabAbAbbAbABaBBBB", "aaabAbAbAbAbABBABBab"}, {"aaaaabbbabAbabababbb", "aaaababaBBBBababaabb", "aaabbaBaBaBaBabbabAb"}, {"aaaaabbbabAbababbabb", "aaaabAbAbbAAbbbAbbAb", "aababaBaBaBaBabbabAb"}, {"aaaaabbbabAbababbbab", "aaaabAbAbbAAbbbAbAbb", "aababababaBBaBABaaBB"}, {"aaaaabbbabAbabbababb", "aaaabAbAbbAAbbAbbbAb", "aabaBababbabAbAbAbAb"}, {"aaaaabbbabAbabbabbab", "aaaabAbAbbAAbbAbbAbb", "aababababaBBaBABaBaB"}, {"aaaaabbbabAbabbbabab", "aaaabAbAbbAAbbAbAbbb", "aaababababaBBaBABaBB"}, {"aaaaabbbabAbbabababb", "aaaabaBBBBababaabbab", "aaabaBaBaBaBabbabAbb"}, {"aaaaabbbabAbbababbab", "aaaabAbAbbAAbAbbbAbb", "aabaaBaBaBaBabbabAbb"}, {"aaaaabbbabAbbabbabab", "aaaabAbAbbAAbAbbAbbb", "aaababababaBBaBABBaB"}, {"aaaaabbbabAbbbababab", "aaaababababaBBaBABBB", "aaaabbbbaBaBaaBBaBaB"}, {"aaaaabbbabABabababbb", "aaaabAbAbbABabbbAbAb", "aaabbaBaBaBaBabbabAB"}, {"aaaaabbbabABababbabb", "aaaabAbAbbABabbAbbAb", "aababaBaBaBaBabbabAB"}, {"aaaaabbbabABababbbab", "aaaabAbAbbABabbAbAbb", "aababababaBBaBAbaaBB"}, {"aaaaabbbabABabbababb", "aaaabAbAbbABabAbbbAb", "aabaBaBaBaBabbabABab"}, {"aaaaabbbabABabbabbab", "aaaabAbAbbABabAbbAbb", "aababababaBBaBAbaBaB"}, {"aaaaabbbabABabbbabab", "aaaabAbAbbABabAbAbbb", "aaababababaBBaBAbaBB"}, {"aaaaabbbabABAbababbb", "aaaabAbAbbABAbbbAbAb", "aabaBBabbaabAbAbAbAb"}, {"aaaaabbbabABAbabbabb", "aaaabAbAbbABAbbAbbAb", "aabaBBabababAbAbAbAb"}, {"aaaaabbbabABAbabbbab", "aaaabAbAbbABAbbAbAbb", "aababababaBBaBAABaBB"}, {"aaaaabbbabABAbbababb", "aaaabAbAbbABAbAbbbAb", "aabaBaBaBaBabbabAAbb"}, {"aaaaabbbabABAbbabbab", "aaaabAbAbbABAbAbbAbb", "aababababaBBaBAABBaB"}, {"aaaaabbbabABAbbbabab", "aaaabAbAbbABAbAbAbbb", "aaababababaBBaBAABBB"}, {"aaaaabbbabABABababbb", "aaaabAbAbbABBabbAbAb", "aabaBBAbbaabAbAbAbAb"}, {"aaaaabbbabABABabbabb", "aaaabAbAbbABBabAbbAb", "aabaBBAbababAbAbAbAb"}, {"aaaaabbbabABABabbbab", "aaaabAbAbbABBabAbAbb", "aababababaBBaBAAbaBB"}, {"aaaaabbbabABABAbabbb", "aaaabAbAbbABBAbbAbAb", "aaabAbbABABABABAbbAb"}, {"aaaaabbbabABABAbbabb", "aaaabAbAbbABBAbAbbAb", "aaabbAbABABABABAbbAb"}, {"aaaaabbbabABABAbbbab", "aaaabAbAbbABBAbAbAbb", "aaabbbAABABABABAbbAb"}, {"aaaaabbbabABABABabbb", "aaaabAbAbbABBBabAbAb", "aaabABBAbAbAbAbABBAB"}, {"aaaaabbbabABABABAbbb", "aaaabbbABABABABAbbAb", "aaaabAbAbbABBBAbAbAb"}, {"aaaaabbbabABABABABBB", "aaaaabAbAbbABBBBaBaB", "aaaabbbAbAbAbAbABBAB"}, {"aaaaabbbabABABABBabb", "aaaabAbAbbABBBaBabAb", "aaabbABAbAbAbAbABBAB"}, {"aaaaabbbabABABABBAbb", "aaaabAbAbbABBBaBAbAb", "aaabaBBAbAbAbAbABBAB"}, {"aaaaabbbabABABABBABB", "aaaaabAbAbbABBBaBBaB", "aaababbAbAbAbAbABBAB"}, {"aaaaabbbabABABABBBab", "aaaabAbAbbABBBaBaBab", "aaabbababababAAbABBB"}, {"aaaaabbbabABABABBBAb", "aaaabAbAbbABBBaBaBAb", "aaabbaBAbAbAbAbABBAB"}, {"aaaaabbbabABABABBBAB", "aaaaabAbAbbABBBaBaBB", "aaabbabAbAbAbAbABBAB"}, {"aaaaabbbabABABBababb", "aaaabAbAbbABBaBabbAb", "aabaBaBaBaBabbabAABB"}, {"aaaaabbbabABABBabbab", "aaaabAbAbbABBaBabAbb", "aababababaBBaBAAbbaB"}, {"aaaaabbbabABABBAbabb", "aaaabAbAbbABBaBAbbAb", "aabaBABAbAbAbAbABBAB"}, {"aaaaabbbabABABBAbbab", "aaaabAbAbbABBaBAbAbb", "aababababaBBaBAAbABB"}, {"aaaaabbbabABABBABabb", "aaaabAbAbbABBaBBabAb", "aababABAbAbAbAbABBAB"}, {"aaaaabbbabABABBABAbb", "aaaabAbAbbABBaBBAbAb", "aabaaBBAbAbAbAbABBAB"}, {"aaaaabbbabABABBABABB", "aaaaabAbAbbABBaBBBaB", "aabaabbAbAbAbAbABBAB"}, {"aaaaabbbabABABBABBab", "aaaabAbAbbABBaBBaBab", "aababababaBBaBAAbAbb"}, {"aaaaabbbabABABBABBAb", "aaaabAbAbbABBaBBaBAb", "aababaBAbAbAbAbABBAB"}, {"aaaaabbbabABABBABBAB", "aaaaabAbAbbABBaBBaBB", "aabababAbAbAbAbABBAB"}, {"aaaaabbbabABABBBabab", "aaaabAbAbbABBaBaBabb", "aaababababaBBaBAAbbb"}, {"aaaaabbbabABABBBAbab", "aaaabAbAbbABBaBaBAbb", "aababababaBBaBAAbbAB"}, {"aaaaabbbabABABBBABab", "aaaabAbAbbABBaBaBBab", "aababababaBBaBAAbbAb"}, {"aaaaabbbabABABBBABAb", "aaaabAbAbbABBaBaBBAb", "aabaBBAABBabAbAbAbAb"}, {"aaaaabbbabABABBBABAB", "aaaaabAbAbbABBaBaBBB", "aabaBBAABBAbAbAbAbAb"}, {"aaaaabbbabABBabababb", "aaaabAbAbbABaBabbbAb", "aaabaBaBaBaBabbabABB"}, {"aaaaabbbabABBababbab", "aaaabAbAbbABaBabbAbb", "aabaaBaBaBaBabbabABB"}, {"aaaaabbbabABBabbabab", "aaaabAbAbbABaBabAbbb", "aaababababaBBaBAbbaB"}, {"aaaaabbbabABBAbababb", "aaaabAbAbbABaBAbbbAb", "aabaBaBaBaBabbabABAb"}, {"aaaaabbbabABBAbabbab", "aaaabAbAbbABaBAbbAbb", "aababababaBBaBAbABaB"}, {"aaaaabbbabABBAbbabab", "aaaabAbAbbABaBAbAbbb", "aaababababaBBaBAbABB"}, {"aaaaabbbabABBABababb", "aaaabAbAbbABaBBabbAb", "aabaBaBaBaBabbabABAB"}, {"aaaaabbbabABBABabbab", "aaaabAbAbbABaBBabAbb", "aababababaBBaBAbAbaB"}, {"aaaaabbbabABBABAbabb", "aaaabAbAbbABaBBAbbAb", "aabaBABBababAbAbAbAb"}, {"aaaaabbbabABBABAbbab", "aaaabAbAbbABaBBAbAbb", "aababababaBBaBAbAABB"}, {"aaaaabbbabABBABABabb", "aaaabAbAbbABaBBBabAb", "aabaBABBAbabAbAbAbAb"}, {"aaaaabbbabABBABABAbb", "aaaabAbAbbABaBBBAbAb", "aaabbABABABABAbbAbaB"}, {"aaaaabbbabABBABABABB", "aaaaabAbAbbABaBBBBaB", "aaabbAbAbAbAbABBABab"}, {"aaaaabbbabABBABABBab", "aaaabAbAbbABaBBBaBab", "aababababaBBaBAbAAbb"}, {"aaaaabbbabABBABABBAb", "aaaabAbAbbABaBBBaBAb", "aabaBAbAbAbAbABBABab"}, {"aaaaabbbabABBABABBAB", "aaaaabAbAbbABaBBBaBB", "aababAbAbAbAbABBABab"}, {"aaaaabbbabABBABBabab", "aaaabAbAbbABaBBaBabb", "aaababababaBBaBAbAbb"}, {"aaaaabbbabABBABBAbab", "aaaabAbAbbABaBBaBAbb", "aababababaBBaBAbAbAB"}, {"aaaaabbbabABBABBABab", "aaaabAbAbbABaBBaBBab", "aababababaBBaBAbAbAb"}, {"aaaaabbbabABBABBABAb", "aaaabAbAbbABaBBaBBAb", "aabaBABABBabAbAbAbAb"}, {"aaaaabbbabABBABBABAB", "aaaaabAbAbbABaBBaBBB", "aabaBABABBAbAbAbAbAb"}, {"aaaaabbbabABBBababab", "aaaababababaBBaBAbbb", "aaaabAbAbbABaBaBabbb"}, {"aaaaabbbabABBBAbabab", "aaaabAbAbbABaBaBAbbb", "aaababababaBBaBAbbAB"}, {"aaaaabbbabABBBABabab", "aaaabAbAbbABaBaBBabb", "aaababababaBBaBAbbAb"}, {"aaaaabbbabABBBABAbab", "aaaabAbAbbABaBaBBAbb", "aababababaBBaBAbbAAB"}, {"aaaaabbbabABBBABABab", "aaaabAbAbbABaBaBBBab", "aababababaBBaBAbbAAb"}, {"aaaaabbbabABBBABABAb", "aaaabAbAbbABaBaBBBAb", "aaabABABABABAbbAbaBB"}, {"aaaaabbbabABBBABABAB", "aaaaabAbAbbABaBaBBBB", "aaabAbAbAbAbABBABabb"}, {"aaaaabbbaBababababbb", "aaaababaBBBBababaBAB", "aaaabbaBaBaBaBabbaBB"}, {"aaaaabbbaBabababbabb", "aaaabAbAbaBabbbAbbAb", "aaababaBaBaBaBabbaBB"}, {"aaaaabbbaBabababbbab", "aaaabAbAbaBabbbAbAbb", "aaabbaaBaBaBaBabbaBB"}, {"aaaaabbbaBababbababb", "aaaabAbAbaBabbAbbbAb", "aabaabaBaBaBaBabbaBB"}, {"aaaaabbbaBababbabbab", "aaaabAbAbaBabbAbbAbb", "aababaaBaBaBaBabbaBB"}, {"aaaaabbbaBababbbabab", "aaaabAbAbaBabbAbAbbb", "aaababababaBBabbaaBB"}, {"aaaaabbbaBabbabababb", "aaaabaBBBBababaBABab", "aaabaBaBaBaBabbaBBab"}, {"aaaaabbbaBabbababbab", "aaaabAbAbaBabAbbbAbb", "aabaaBaBaBaBabbaBBab"}, {"aaaaabbbaBabbabbabab", "aaaabAbAbaBabAbbAbbb", "aaababababaBBabbaBaB"}, {"aaaaabbbaBabbbababab", "aaaababababaBBabbaBB", "aaaabbbbaBaBabAbaBaB"}, {"aaaaabbbaBAbabababbb", "aaaababaBBBBababaBAb", "aaabbaBaBaBaBabbaBAb"}, {"aaaaabbbaBAbababbabb", "aaaabAbAbaBAbbbAbbAb", "aababaBaBaBaBabbaBAb"}, {"aaaaabbbaBAbababbbab", "aaaabAbAbaBAbbbAbAbb", "aababababaBBabABaaBB"}, {"aaaaabbbaBAbabbababb", "aaaabAbAbaBAbbAbbbAb", "aabaBaBaBaBabbaBAbab"}, {"aaaaabbbaBAbabbabbab", "aaaabAbAbaBAbbAbbAbb", "aababababaBBabABaBaB"}, {"aaaaabbbaBAbabbbabab", "aaaabAbAbaBAbbAbAbbb", "aaababababaBBabABaBB"}, {"aaaaabbbaBAbbabababb", "aaaabaBBBBababaBAbab", "aaabaBaBaBaBabbaBAbb"}, {"aaaaabbbaBAbbababbab", "aaaabAbAbaBAbAbbbAbb", "aabaaBaBaBaBabbaBAbb"}, {"aaaaabbbaBAbbabbabab", "aaaabAbAbaBAbAbbAbbb", "aaababababaBBabABBaB"}, {"aaaaabbbaBAbbbababab", "aaaababababaBBabABBB", "aaaabbbbaBaBabABaBaB"}, {"aaaaabbbaBABabababbb", "aaaabAbAbaBBabbbAbAb", "aaabbaBaBaBaBabbaBAB"}, {"aaaaabbbaBABababbabb", "aaaabAbAbaBBabbAbbAb", "aababaBaBaBaBabbaBAB"}, {"aaaaabbbaBABababbbab", "aaaabAbAbaBBabbAbAbb", "aababababaBBabAbaaBB"}, {"aaaaabbbaBABabbababb", "aaaabAbAbaBBabAbbbAb", "aabaBaBaBaBabbaBABab"}, {"aaaaabbbaBABabbabbab", "aaaabAbAbaBBabAbbAbb", "aababababaBBabAbaBaB"}, {"aaaaabbbaBABabbbabab", "aaaabAbAbaBBabAbAbbb", "aaababababaBBabAbaBB"}, {"aaaaabbbaBABAbababbb", "aaaabAbAbaBBAbbbAbAb", "aabbaBaBaBaBabbaBAAb"}, {"aaaaabbbaBABAbabbabb", "aaaabAbAbaBBAbbAbbAb", "aabAbAbABABABABAbbAB"}, {"aaaaabbbaBABAbabbbab", "aaaabAbAbaBBAbbAbAbb", "aababababaBBabAABaBB"}, {"aaaaabbbaBABAbbababb", "aaaabAbAbaBBAbAbbbAb", "aabaBaBaBaBabbaBAAbb"}, {"aaaaabbbaBABAbbabbab", "aaaabAbAbaBBAbAbbAbb", "aababababaBBabAABBaB"}, {"aaaaabbbaBABAbbbabab", "aaaabAbAbaBBAbAbAbbb", "aaababababaBBabAABBB"}, {"aaaaabbbaBABABababbb", "aaaabAbAbaBBBabbAbAb", "aabbaBaBaBaBabbaBAAB"}, {"aaaaabbbaBABABabbabb", "aaaabAbAbaBBBabAbbAb", "aabABABAbAbAbAbABBAb"}, {"aaaaabbbaBABABabbbab", "aaaabAbAbaBBBabAbAbb", "aababababaBBabAAbaBB"}, {"aaaaabbbaBABABAbabbb", "aaaabAbAbaBBBAbbAbAb", "aaabAbbABABABABAbbAB"}, {"aaaaabbbaBABABAbbabb", "aaaabAbAbaBBBAbAbbAb", "aaabbAbABABABABAbbAB"}, {"aaaaabbbaBABABAbbbab", "aaaabAbAbaBBBAbAbAbb", "aaabbbAABABABABAbbAB"}, {"aaaaabbbaBABABABabbb", "aaaabAbAbaBBBBabAbAb", "aaabABBAbAbAbAbABBAb"}, {"aaaaabbbaBABABABAbbb", "aaaabbbABABABABAbbAB", "aaaabAbAbaBBBBAbAbAb"}, {"aaaaabbbaBABABABBabb", "aaaababABAbbbbABABAb", "aaabbABAbAbAbAbABBAb"}, {"aaaaabbbaBABABABBAbb", "aaaabaBABAbbbbABABAb", "aaabaBBAbAbAbAbABBAb"}, {"aaaaabbbaBABABABBABB", "aaaaabAbAbaBBBBaBBaB", "aaababbAbAbAbAbABBAb"}, {"aaaaabbbaBABABABBBab", "aaaabababAbbbbABABAb", "aaabbababababAAbaBBB"}, {"aaaaabbbaBABABABBBAb", "aaaababaBAbbbbABABAb", "aaabbaBAbAbAbAbABBAb"}, {"aaaaabbbaBABABABBBAB", "aaaaabAbAbaBBBBaBaBB", "aaabbabAbAbAbAbABBAb"}, {"aaaaabbbaBABABBababb", "aaaabAbAbaBBBaBabbAb", "aabaBaBaBaBabbaBAABB"}, {"aaaaabbbaBABABBabbab", "aaaabAbAbaBBBaBabAbb", "aababababaBBabAAbbaB"}, {"aaaaabbbaBABABBAbabb", "aaaabAbAbaBBBaBAbbAb", "aabaBABAbAbAbAbABBAb"}, {"aaaaabbbaBABABBAbbab", "aaaabAbAbaBBBaBAbAbb", "aababababaBBabAAbABB"}, {"aaaaabbbaBABABBABabb", "aaaabAbAbaBBBaBBabAb", "aababABAbAbAbAbABBAb"}, {"aaaaabbbaBABABBABAbb", "aaaabAbAbaBBBaBBAbAb", "aabaaBBAbAbAbAbABBAb"}, {"aaaaabbbaBABABBABABB", "aaaaabAbAbaBBBaBBBaB", "aabaabbAbAbAbAbABBAb"}, {"aaaaabbbaBABABBABBab", "aaaabAbAbaBBBaBBaBab", "aababababaBBabAAbAbb"}, {"aaaaabbbaBABABBABBAb", "aaaabAbAbaBBBaBBaBAb", "aababaBAbAbAbAbABBAb"}, {"aaaaabbbaBABABBABBAB", "aaaaabAbAbaBBBaBBaBB", "aabababAbAbAbAbABBAb"}, {"aaaaabbbaBABABBBabab", "aaaabAbAbaBBBaBaBabb", "aaababababaBBabAAbbb"}, {"aaaaabbbaBABABBBAbab", "aaaabAbAbaBBBaBaBAbb", "aababababaBBabAAbbAB"}, {"aaaaabbbaBABABBBABab", "aaaabAbAbaBBBaBaBBab", "aababababaBBabAAbbAb"}, {"aaaaabbbaBABABBBABAb", "aaaabAbAbaBBBaBaBBAb", "aabbaaBAbAbAbAbABBAb"}, {"aaaaabbbaBABABBBABAB", "aaaaabAbAbaBBBaBaBBB", "aabbaabAbAbAbAbABBAb"}, {"aaaaabbbaBABBabababb", "aaaabAbAbaBBaBabbbAb", "aaabaBaBaBaBabbaBABB"}, {"aaaaabbbaBABBababbab", "aaaabAbAbaBBaBabbAbb", "aabaaBaBaBaBabbaBABB"}, {"aaaaabbbaBABBabbabab", "aaaabAbAbaBBaBabAbbb", "aaababababaBBabAbbaB"}, {"aaaaabbbaBABBAbababb", "aaaabAbAbaBBaBAbbbAb", "aabaBaBaBaBabbaBABAb"}, {"aaaaabbbaBABBAbabbab", "aaaabAbAbaBBaBAbbAbb", "aababababaBBabAbABaB"}, {"aaaaabbbaBABBAbbabab", "aaaabAbAbaBBaBAbAbbb", "aaababababaBBabAbABB"}, {"aaaaabbbaBABBABababb", "aaaabAbAbaBBaBBabbAb", "aabaBaBaBaBabbaBABAB"}, {"aaaaabbbaBABBABabbab", "aaaabAbAbaBBaBBabAbb", "aababababaBBabAbAbaB"}, {"aaaaabbbaBABBABAbabb", "aaaabAbAbaBBaBBAbbAb", "aabAbABABABABAbbABaB"}, {"aaaaabbbaBABBABAbbab", "aaaabAbAbaBBaBBAbAbb", "aababababaBBabAbAABB"}, {"aaaaabbbaBABBABABabb", "aaaabAbAbaBBaBBBabAb", "aabABAbAbAbAbABBAbab"}, {"aaaaabbbaBABBABABAbb", "aaaabAbAbaBBaBBBAbAb", "aaabbABABABABAbbABaB"}, {"aaaaabbbaBABBABABABB", "aaaaabAbAbaBBaBBBBaB", "aaabbAbAbAbAbABBAbab"}, {"aaaaabbbaBABBABABBab", "aaaabAbAbaBBaBBBaBab", "aababababaBBabAbAAbb"}, {"aaaaabbbaBABBABABBAb", "aaaabAbAbaBBaBBBaBAb", "aabaBAbAbAbAbABBAbab"}, {"aaaaabbbaBABBABABBAB", "aaaaabAbAbaBBaBBBaBB", "aababAbAbAbAbABBAbab"}, {"aaaaabbbaBABBABBabab", "aaaabAbAbaBBaBBaBabb", "aaababababaBBabAbAbb"}, {"aaaaabbbaBABBABBAbab", "aaaabAbAbaBBaBBaBAbb", "aababababaBBabAbAbAB"}, {"aaaaabbbaBABBABBABab", "aaaabAbAbaBBaBBaBBab", "aababababaBBabAbAbAb"}, {"aaaaabbbaBABBABBABAb", "aaaabAbAbaBBaBBaBBAb", "aabABABABABAbbABaBaB"}, {"aaaaabbbaBABBABBABAB", "aaaaabAbAbaBBaBBaBBB", "aabAbAbAbAbABBAbabab"}, {"aaaaabbbaBABBBababab", "aaaababababaBBabAbbb", "aaaabAbAbaBBaBaBabbb"}, {"aaaaabbbaBABBBAbabab", "aaaabAbAbaBBaBaBAbbb", "aaababababaBBabAbbAB"}, {"aaaaabbbaBABBBABabab", "aaaabAbAbaBBaBaBBabb", "aaababababaBBabAbbAb"}, {"aaaaabbbaBABBBABAbab", "aaaabAbAbaBBaBaBBAbb", "aababababaBBabAbbAAB"}, {"aaaaabbbaBABBBABABab", "aaaabAbAbaBBaBaBBBab", "aababababaBBabAbbAAb"}, {"aaaaabbbaBABBBABABAb", "aaaabAbAbaBBaBaBBBAb", "aaabABABABABAbbABaBB"}, {"aaaaabbbaBABBBABABAB", "aaaaabAbAbaBBaBaBBBB", "aaabAbAbAbAbABBAbabb"}, {"aaaaabbbaBBababababb", "aaaabaBaBaBaBabbaBBB", "aaaabaBBBBababaBABAB"}, {"aaaaabbbaBBabababbab", "aaaabAbAbaBaBabbbAbb", "aaabaaBaBaBaBabbaBBB"}, {"aaaaabbbaBBababbabab", "aaaabAbAbaBaBabbAbbb", "aaababababaBBabbbaaB"}, {"aaaaabbbaBBabbababab", "aaaababababaBBabbbaB", "aaaabbbbaBaBabAbAbaB"}, {"aaaaabbbaBBAbabababb", "aaaabaBBBBababaBABAb", "aaabaBaBaBaBabbaBBAb"}, {"aaaaabbbaBBAbababbab", "aaaabAbAbaBaBAbbbAbb", "aabaaBaBaBaBabbaBBAb"}, {"aaaaabbbaBBAbabbabab", "aaaabAbAbaBaBAbbAbbb", "aaababababaBBabbABaB"}, {"aaaaabbbaBBAbbababab", "aaaababababaBBabbABB", "aaaabbbbaBaBabAbABaB"}, {"aaaaabbbaBBABabababb", "aaaabAbAbaBaBBabbbAb", "aaabaBaBaBaBabbaBBAB"}, {"aaaaabbbaBBABababbab", "aaaabAbAbaBaBBabbAbb", "aabaaBaBaBaBabbaBBAB"}, {"aaaaabbbaBBABabbabab", "aaaabAbAbaBaBBabAbbb", "aaababababaBBabbAbaB"}, {"aaaaabbbaBBABAbababb", "aaaabAbAbaBaBBAbbbAb", "aabaBaBaBaBabbaBBAAb"}, {"aaaaabbbaBBABAbabbab", "aaaabAbAbaBaBBAbbAbb", "aababababaBBabbAABaB"}, {"aaaaabbbaBBABAbbabab", "aaaabAbAbaBaBBAbAbbb", "aaababababaBBabbAABB"}, {"aaaaabbbaBBABABababb", "aaaabAbAbaBaBBBabbAb", "aabaBaBaBaBabbaBBAAB"}, {"aaaaabbbaBBABABabbab", "aaaabAbAbaBaBBBabAbb", "aababababaBBabbAAbaB"}, {"aaaaabbbaBBABABAbabb", "aaaabAbAbaBaBBBAbbAb", "aaabAbABABABABAbbABB"}, {"aaaaabbbaBBABABAbbab", "aaaabAbAbaBaBBBAbAbb", "aaabbAABABABABAbbABB"}, {"aaaaabbbaBBABABABabb", "aaaabAbAbaBaBBBBabAb", "aaabABAbAbAbAbABBAbb"}, {"aaaaabbbaBBABABABAbb", "aaaabbABABABABAbbABB", "aaaabAbAbaBaBBBBAbAb"}, {"aaaaabbbaBBABABABBab", "aaaababAbbbbABABAbab", "aaabbAAbAbAbAbABBAbb"}, {"aaaaabbbaBBABABABBAb", "aaaabaBAbbbbABABAbab", "aaabaBAbAbAbAbABBAbb"}, {"aaaaabbbaBBABABABBAB", "aaaaabAbAbaBaBBBBaBB", "aaababAbAbAbAbABBAbb"}, {"aaaaabbbaBBABABBabab", "aaaabAbAbaBaBBBaBabb", "aaababababaBBabbAAbb"}, {"aaaaabbbaBBABABBAbab", "aaaabAbAbaBaBBBaBAbb", "aababababaBBabbAAbAB"}, {"aaaaabbbaBBABABBABab", "aaaabAbAbaBaBBBaBBab", "aababababaBBabbAAbAb"}, {"aaaaabbbaBBABABBABAb", "aaaabAbAbaBaBBBaBBAb", "aabaaBAbAbAbAbABBAbb"}, {"aaaaabbbaBBABABBABAB", "aaaaabAbAbaBaBBBaBBB", "aabaabAbAbAbAbABBAbb"}, {"aaaaabbbaBBABBababab", "aaaababababaBBabbAbb", "aaaabAbAbaBaBBaBabbb"}, {"aaaaabbbaBBABBAbabab", "aaaabAbAbaBaBBaBAbbb", "aaababababaBBabbAbAB"}, {"aaaaabbbaBBABBABabab", "aaaabAbAbaBaBBaBBabb", "aaababababaBBabbAbAb"}, {"aaaaabbbaBBABBABAbab", "aaaabAbAbaBaBBaBBAbb", "aababababaBBabbAbAAB"}, {"aaaaabbbaBBABBABABab", "aaaabAbAbaBaBBaBBBab", "aababababaBBabbAbAAb"}, {"aaaaabbbaBBABBABABAb", "aaaabAbAbaBaBBaBBBAb", "aaabABABABABAbbABBaB"}, {"aaaaabbbaBBABBABABAB", "aaaaabAbAbaBaBBaBBBB", "aaabAbAbAbAbABBAbbab"}, {"aaaaabbbaBBBAbababab", "aaaababababaBBabbbAB", "aaaabbbbaBaBabAbAbAB"}, {"aaaaabbbaBBBABababab", "aaaababababaBBabbbAb", "aaaabAbAbaBaBaBBabbb"}, {"aaaaabbbaBBBABAbabab", "aaaabAbAbaBaBaBBAbbb", "aaababababaBBabbbAAB"}, {"aaaaabbbaBBBABABabab", "aaaabAbAbaBaBaBBBabb", "aaababababaBBabbbAAb"}, {"aaaaabbbaBBBABABAbab", "aaaabAbAbaBaBaBBBAbb", "aaabbbABBaBaBaBaBAAB"}, {"aaaaabbbaBBBABABABab", "aaaabAbbbbABABAbabab", "aaabbbaBBaBaBaBaBAAB"}, {"aaaaabbbaBBBABABABAb", "aaaabAbAbaBaBaBBBBAb", "aaaabABABABABAbbABBB"}, {"aaaaabbbaBBBABABABAB", "aaaaabbbbbABABAbabab", "aaaabAbAbAbAbABBAbbb"}, {"aaaaabbbbaababababbb", "aaaababaBBBBabababaB", "aaaabbaBaBaBaBabbbaB"}, {"aaaaabbbbaabababbabb", "aaaabAbAbAbabbbAbbAb", "aaababaBaBaBaBabbbaB"}, {"aaaaabbbbaabababbbab", "aaaabAbAbAbabbbAbAbb", "aaabbaaBaBaBaBabbbaB"}, {"aaaaabbbbaababbababb", "aaaabAbAbAbabbAbbbAb", "aaabAbbabbabAbAbAbAb"}, {"aaaaabbbbaababbabbab", "aaaabAbAbAbabbAbbAbb", "aaabAbbababbAbAbAbAb"}, {"aaaaabbbbaababbbabab", "aaaabAbAbAbabbAbAbbb", "aaababababaBBBabaaBB"}, {"aaaaabbbbaabbabababb", "aaaabaBBBBabababaBab", "aaabaBaBaBaBabbbaBab"}, {"aaaaabbbbaabbababbab", "aaaabAbAbAbabAbbbAbb", "aaabAbabbabbAbAbAbAb"}, {"aaaaabbbbaabbabbabab", "aaaabAbAbAbabAbbAbbb", "aaababababaBBBabaBaB"}, {"aaaaabbbbaabbbababab", "aaaababababaBBBabaBB", "aaaabbbbaBaBaBabaBaB"}, {"aaaaabbbbabaabababbb", "aaaabAbAbAbbabbbAbAb", "aaabbaBaBaBaBabbbaaB"}, {"aaaaabbbbabaababbabb", "aaaabAbAbAbbabbAbbAb", "aaabbAbbababAbAbAbAb"}, {"aaaaabbbbabaababbbab", "aaaabAbAbAbbabbAbAbb", "aaabbAbbaabbAbAbAbAb"}, {"aaaaabbbbabaabbababb", "aaaabAbAbAbbabAbbbAb", "aaabbAbabbabAbAbAbAb"}, {"aaaaabbbbabaabbabbab", "aaaabAbAbAbbabAbbAbb", "aaabbAbababbAbAbAbAb"}, {"aaaaabbbbabaabbbabab", "aaaabAbAbAbbabAbAbbb", "aaababababaBBBaabaBB"}, {"aaaaabbbbababaababbb", "aaaabAbAbAbbbabbAbAb", "aaabaaBBababababaBBB"}, {"aaaaabbbbababaabbabb", "aaaabAbAbAbbbabAbbAb", "aaabaBaBababababaBBB"}, {"aaaaabbbbababaabbbab", "aaaabAbAbAbbbabAbAbb", "aaabaBBaababababaBBB"}, {"aaaaabbbbabababaabbb", "aaaabaBaBabbbbaBaBaB", "aaaabaBBababababaBBB"}, {"aaaaabbbbababababABB", "aaaaabAbAbAbbbbbABaB", "aaaabABBaBaBaBaBabbb"}, {"aaaaabbbbabababaBabb", "aaaabbaBababababaBBB", "aaaabAbaBabbbbaBaBaB"}, {"aaaaabbbbabababaBAbb", "aaaabAbAbAbbbbaBAbAb", "aaaabABBababababaBBB"}, {"aaaaabbbbabababaBABB", "aaaaabAbAbAbbbbaBBaB", "aaaabAbbababababaBBB"}, {"aaaaabbbbabababaBBab", "aaaabbbaababababaBBB", "aaaabAbAbabbbbaBaBaB"}, {"aaaaabbbbabababaBBAb", "aaaabbABababababaBBB", "aaaabAbAbAbbbbaBaBAb"}, {"aaaaabbbbabababaBBAB", "aaaaabAbAbAbbbbaBaBB", "aaaabbAbababababaBBB"}, {"aaaaabbbbabababbaabb", "aaaabaBabaBBBBababab", "aaabaBabaBaBaBaBabbb"}, {"aaaaabbbbabababbabaB", "aaaaabAbAbAbbbbAbbaB", "aaabaaBBaBaBaBaBabbb"}, {"aaaaabbbbabababbabAb", "aaaabaabbaBBBBababab", "aaababAbaBaBaBaBabbb"}, {"aaaaabbbbabababbabAB", "aaaaabAbAbAbbbbAbbAB", "aaababABaBaBaBaBabbb"}, {"aaaaabbbbabababbaBab", "aaaabaBABaBBBBababab", "aaabaBBaaBaBaBaBabbb"}, {"aaaaabbbbabababbaBAb", "aaaabaBAbaBBBBababab", "aaabaBAbaBaBaBaBabbb"}, {"aaaaabbbbabababbaBAB", "aaaaabAbAbAbbbbAbaBB", "aaabaBABaBaBaBaBabbb"}, {"aaaaabbbbabababbbaab", "aaaababaBaBBBBababab", "aaabbaBaaBaBaBaBabbb"}, {"aaaaabbbbabababbAbab", "aaaababbaaBBBBababab", "aaabbbaaBabbAbAbAbAb"}, {"aaaaabbbbabababbABab", "aaaababABaBBBBababab", "aaabbbaaBAbbAbAbAbAb"}, {"aaaaabbbbabababbABAb", "aaaababAbaBBBBababab", "aaabbbaaBBabAbAbAbAb"}, {"aaaaabbbbabababbABAB", "aaaaabAbAbAbbbbAbABB", "aaabbbaaBBAbAbAbAbAb"}, {"aaaaabbbbabababAbabb", "aaaabbaabaBBBBababab", "aaabbbaBababAbAbAbAb"}, {"aaaaabbbbabababAbbab", "aaaabbabaaBBBBababab", "aaabbbaBaabbAbAbAbAb"}, {"aaaaabbbbabababABabb", "aaaabAbAbAbbbbABabAb", "aaabbbaBAbabAbAbAbAb"}, {"aaaaabbbbabababABAbb", "aaaabAbabaBBBBababab", "aaabbbaBBaabAbAbAbAb"}, {"aaaaabbbbabababABABB", "aaaaabAbAbAbbbbABBaB", "aaabbbaBBAAbAbAbAbAb"}, {"aaaaabbbbabababABBab", "aaaabAbAbAbbbbABaBab", "aaabbbaBAAbbAbAbAbAb"}, {"aaaaabbbbabababABBAb", "aaaabAbAbAbbbbABaBAb", "aaabbbaBABabAbAbAbAb"}, {"aaaaabbbbabababABBAB", "aaaaabAbAbAbbbbABaBB", "aaabbbaBABAbAbAbAbAb"}, {"aaaaabbbbababaBababb", "aaaabAbAbAbbbaBabbAb", "aaabbaaBababababaBBB"}, {"aaaaabbbbababaBabbab", "aaaabAbAbAbbbaBabAbb", "aaabbaBaababababaBBB"}, {"aaaaabbbbababaBAbabb", "aaaabAbAbAbbbaBAbbAb", "aaabbbABababAbAbAbAb"}, {"aaaaabbbbababaBAbbab", "aaaabAbAbAbbbaBAbAbb", "aaabbbABaabbAbAbAbAb"}, {"aaaaabbbbababaBABabb", "aaaabAbAbAbbbaBBabAb", "aaabbbABAbabAbAbAbAb"}, {"aaaaabbbbababaBABAbb", "aaaabAbAbAbbbaBBAbAb", "aaabbbABBaabAbAbAbAb"}, {"aaaaabbbbababaBABABB", "aaaaabAbAbAbbbaBBBaB", "aaabbbABBAAbAbAbAbAb"}, {"aaaaabbbbababaBABBab", "aaaabAbAbAbbbaBBaBab", "aaabbbABAAbbAbAbAbAb"}, {"aaaaabbbbababaBABBAb", "aaaabAbAbAbbbaBBaBAb", "aaabbbABABabAbAbAbAb"}, {"aaaaabbbbababaBABBAB", "aaaaabAbAbAbbbaBBaBB", "aaabbbABABAbAbAbAbAb"}, {"aaaaabbbbababaBBabab", "aaaabAbAbAbbbaBaBabb", "aaababababaBBBaaabbb"}, {"aaaaabbbbababaBBAbab", "aaaabAbAbAbbbaBaBAbb", "aaabbbAABabbAbAbAbAb"}, {"aaaaabbbbababaBBABab", "aaaabAbAbAbbbaBaBBab", "aaabbbAABAbbAbAbAbAb"}, {"aaaaabbbbababaBBABAb", "aaaabAbAbAbbbaBaBBAb", "aaabbbAABBabAbAbAbAb"}, {"aaaaabbbbababaBBABAB", "aaaaabAbAbAbbbaBaBBB", "aaabbbAABBAbAbAbAbAb"}, {"aaaaabbbbababbaababb", "aaaabAbAbAbbbAbabbAb", "aaabbabAbbabAbAbAbAb"}, {"aaaaabbbbababbaabbab", "aaaabAbAbAbbbAbabAbb", "aaabbabAbabbAbAbAbAb"}, {"aaaaabbbbababbabaabb", "aaaabAbAbAbbbAbbabAb", "aaabbabbAbabAbAbAbAb"}, {"aaaaabbbbababbababaB", "aaaaabAbAbAbbbAbbbaB", "aaabbababababaBBBaaB"}, {"aaaaabbbbababbababAb", "aaaabAbAbAbbbAbbbAAb", "aaabbabbaBabAbAbAbAb"}, {"aaaaabbbbababbababAB", "aaaaabAbAbAbbbAbbbAB", "aaabbabbaBAbAbAbAbAb"}, {"aaaaabbbbababbabaBab", "aaaabAbAbAbbbAbbaBab", "aaabbabbAAbbAbAbAbAb"}, {"aaaaabbbbababbabaBAb", "aaaabAbAbAbbbAbbaBAb", "aaabbabbABabAbAbAbAb"}, {"aaaaabbbbababbabaBAB", "aaaaabAbAbAbbbAbbaBB", "aaabbabbABAbAbAbAbAb"}, {"aaaaabbbbababbabbaab", "aaaabAbAbAbbbAbbAbab", "aaabbababAbbAbAbAbAb"}, {"aaaaabbbbababbabAbab", "aaaabAbAbAbbbAbbAAbb", "aaabbabaBabbAbAbAbAb"}, {"aaaaabbbbababbabABab", "aaaabAbAbAbbbAbbABab", "aaabbabaBAbbAbAbAbAb"}, {"aaaaabbbbababbabABAb", "aaaabAbAbAbbbAbbABAb", "aaabbabaBBabAbAbAbAb"}, {"aaaaabbbbababbabABAB", "aaaaabAbAbAbbbAbbABB", "aaabbabaBBAbAbAbAbAb"}, {"aaaaabbbbababbaBabab", "aaaabAbAbAbbbAbaBabb", "aaababababaBBBaaBabb"}, {"aaaaabbbbababbaBAbab", "aaaabAbAbAbbbAbaBAbb", "aaabbabABabbAbAbAbAb"}, {"aaaaabbbbababbaBABab", "aaaabAbAbAbbbAbaBBab", "aaabbabABAbbAbAbAbAb"}, {"aaaaabbbbababbaBABAb", "aaaabAbAbAbbbAbaBBAb", "aaabbabABBabAbAbAbAb"}, {"aaaaabbbbababbaBABAB", "aaaaabAbAbAbbbAbaBBB", "aaabbabABBAbAbAbAbAb"}, {"aaaaabbbbababbbaabab", "aaaabAbAbAbbbAbAbabb", "aaababababaBBBaaBBab"}, {"aaaaabbbbababbbabaab", "aaaabAbAbAbbbAbAbbab", "aaabbaabbAbbAbAbAbAb"}, {"aaaaabbbbababbAbabab", "aaaabAbAbAbbbAbAAbbb", "aaababababaBBBaaBBAB"}, {"aaaaabbbbababbABabab", "aaaabAbAbAbbbAbABabb", "aaababababaBBBaaBBAb"}, {"aaaaabbbbababbABAbab", "aaaabAbAbAbbbAbABAbb", "aaabbaaBBabbAbAbAbAb"}, {"aaaaabbbbababbABABab", "aaaabAbAbAbbbAbABBab", "aaabbaaBBAbbAbAbAbAb"}, {"aaaaabbbbababbABABAb", "aaaabAbAbAbbbAbABBAb", "aaabbaaBBBabAbAbAbAb"}, {"aaaaabbbbababbABABAB", "aaaaabAbAbAbbbAbABBB", "aaabbaaBBBAbAbAbAbAb"}, {"aaaaabbbbababAbababb", "aaaabAbAbAbbbAAbbbAb", "aaabbaBabbabAbAbAbAb"}, {"aaaaabbbbababAbabbab", "aaaabAbAbAbbbAAbbAbb", "aaabbaBababbAbAbAbAb"}, {"aaaaabbbbababAbbabab", "aaaabAbAbAbbbAAbAbbb", "aaababababaBBBaaBABB"}, {"aaaaabbbbababABababb", "aaaabAbAbAbbbABabbAb", "aaabbaBAbbabAbAbAbAb"}, {"aaaaabbbbababABabbab", "aaaabAbAbAbbbABabAbb", "aaabbaBAbabbAbAbAbAb"}, {"aaaaabbbbababABAbabb", "aaaabAbAbAbbbABAbbAb", "aaabbaBBababAbAbAbAb"}, {"aaaaabbbbababABAbbab", "aaaabAbAbAbbbABAbAbb", "aaabbaBBaabbAbAbAbAb"}, {"aaaaabbbbababABABabb", "aaaabAbAbAbbbABBabAb", "aaabbaBBAbabAbAbAbAb"}, {"aaaaabbbbababABABAbb", "aaaabAbAbAbbbABBAbAb", "aaabbaBBBaabAbAbAbAb"}, {"aaaaabbbbababABABABB", "aaaaabAbAbAbbbABBBaB", "aaabbaBBBAAbAbAbAbAb"}, {"aaaaabbbbababABABBab", "aaaabAbAbAbbbABBaBab", "aaabbaBBAAbbAbAbAbAb"}, {"aaaaabbbbababABABBAb", "aaaabAbAbAbbbABBaBAb", "aaabbaBBABabAbAbAbAb"}, {"aaaaabbbbababABABBAB", "aaaaabAbAbAbbbABBaBB", "aaabbaBBABAbAbAbAbAb"}, {"aaaaabbbbababABBabab", "aaaabAbAbAbbbABaBabb", "aaababababaBBBaaBAbb"}, {"aaaaabbbbababABBAbab", "aaaabAbAbAbbbABaBAbb", "aaabbaBABabbAbAbAbAb"}, {"aaaaabbbbababABBABab", "aaaabAbAbAbbbABaBBab", "aaabbaBABAbbAbAbAbAb"}, {"aaaaabbbbababABBABAb", "aaaabAbAbAbbbABaBBAb", "aaabbaBABBabAbAbAbAb"}, {"aaaaabbbbababABBABAB", "aaaaabAbAbAbbbABaBBB", "aaabbaBABBAbAbAbAbAb"}, {"aaaaabbbbabaBabababb", "aaaabAbAbAbbaBabbbAb", "aaabaBaBaBaBabbbaaBB"}, {"aaaaabbbbabaBababbab", "aaaabAbAbAbbaBabbAbb", "aaabbAAbbabbAbAbAbAb"}, {"aaaaabbbbabaBabbabab", "aaaabAbAbAbbaBabAbbb", "aaababababaBBBaabbaB"}, {"aaaaabbbbabaBAbababb", "aaaabAbAbAbbaBAbbbAb", "aaabbABabbabAbAbAbAb"}, {"aaaaabbbbabaBAbabbab", "aaaabAbAbAbbaBAbbAbb", "aaabbABababbAbAbAbAb"}, {"aaaaabbbbabaBAbbabab", "aaaabAbAbAbbaBAbAbbb", "aaababababaBBBaabABB"}, {"aaaaabbbbabaBABababb", "aaaabAbAbAbbaBBabbAb", "aaabbABAbbabAbAbAbAb"}, {"aaaaabbbbabaBABabbab", "aaaabAbAbAbbaBBabAbb", "aaabbABAbabbAbAbAbAb"}, {"aaaaabbbbabaBABAbabb", "aaaabAbAbAbbaBBAbbAb", "aaabbABBababAbAbAbAb"}, {"aaaaabbbbabaBABAbbab", "aaaabAbAbAbbaBBAbAbb", "aaabbABBaabbAbAbAbAb"}, {"aaaaabbbbabaBABABabb", "aaaabAbAbAbbaBBBabAb", "aaabbABBAbabAbAbAbAb"}, {"aaaaabbbbabaBABABAbb", "aaaabAbAbAbbaBBBAbAb", "aaabbABABABABAbbbAAB"}, {"aaaaabbbbabaBABABABB", "aaaaabAbAbAbbaBBBBaB", "aaabbAbAbAbAbABBBAAb"}, {"aaaaabbbbabaBABABBab", "aaaabAbAbAbbaBBBaBab", "aaabbABBAAbbAbAbAbAb"}, {"aaaaabbbbabaBABABBAb", "aaaabAbAbAbbaBBBaBAb", "aaabbABBABabAbAbAbAb"}, {"aaaaabbbbabaBABABBAB", "aaaaabAbAbAbbaBBBaBB", "aaabbABBABAbAbAbAbAb"}, {"aaaaabbbbabaBABBabab", "aaaabAbAbAbbaBBaBabb", "aaababababaBBBaabAbb"}, {"aaaaabbbbabaBABBAbab", "aaaabAbAbAbbaBBaBAbb", "aaabbABABabbAbAbAbAb"}, {"aaaaabbbbabaBABBABab", "aaaabAbAbAbbaBBaBBab", "aaabbABABAbbAbAbAbAb"}, {"aaaaabbbbabaBABBABAb", "aaaabAbAbAbbaBBaBBAb", "aaabbABABBabAbAbAbAb"}, {"aaaaabbbbabaBABBABAB", "aaaaabAbAbAbbaBBaBBB", "aaabbABABBAbAbAbAbAb"}, {"aaaaabbbbabaBBababab", "aaaababababaBBBaabbb", "aaaabAbAbAbbaBaBabbb"}, {"aaaaabbbbabaBBAbabab", "aaaabAbAbAbbaBaBAbbb", "aaababababaBBBaabbAB"}, {"aaaaabbbbabaBBABabab", "aaaabAbAbAbbaBaBBabb", "aaababababaBBBaabbAb"}, {"aaaaabbbbabaBBABAbab", "aaaabAbAbAbbaBaBBAbb", "aaabbAABBabbAbAbAbAb"}, {"aaaaabbbbabaBBABABab", "aaaabAbAbAbbaBaBBBab", "aaabbAABBAbbAbAbAbAb"}, {"aaaaabbbbabaBBABABAb", "aaaabAbAbAbbaBaBBBAb", "aaabbAABBBabAbAbAbAb"}, {"aaaaabbbbabaBBABABAB", "aaaaabAbAbAbbaBaBBBB", "aaabbAABBBAbAbAbAbAb"}, {"aaaaabbbbabbaabababb", "aaaabAbAbAbbAbabbbAb", "aaababAbbbabAbAbAbAb"}, {"aaaaabbbbabbaababbab", "aaaabAbAbAbbAbabbAbb", "aaababAbbabbAbAbAbAb"}, {"aaaaabbbbabbaabbabab", "aaaabAbAbAbbAbabAbbb", "aaababababaBBBaBabaB"}, {"aaaaabbbbabbabaababb", "aaaabAbAbAbbAbbabbAb", "aaababbAbbabAbAbAbAb"}, {"aaaaabbbbabbabaabbab", "aaaabAbAbAbbAbbabAbb", "aaababbAbabbAbAbAbAb"}, {"aaaaabbbbabbababaabb", "aaaabAbAbAbbAbbbabAb", "aaababbbAbabAbAbAbAb"}, {"aaaaabbbbabbabababaB", "aaaaabAbAbAbbAbbbbaB", "aaaabbababababaBBBaB"}, {"aaaaabbbbabbabababAb", "aaaabbaBBBBabababaab", "aaababbbaBabAbAbAbAb"}, {"aaaaabbbbabbabababAB", "aaaaabAbAbAbbAbbbbAB", "aaababbbaBAbAbAbAbAb"}, {"aaaaabbbbabbababaBab", "aaaabAbAbAbbAbbbaBab", "aaababbbAAbbAbAbAbAb"}, {"aaaaabbbbabbababaBAb", "aaaabAbAbAbbAbbbaBAb", "aaababbbABabAbAbAbAb"}, {"aaaaabbbbabbababaBAB", "aaaaabAbAbAbbAbbbaBB", "aaababbbABAbAbAbAbAb"}, {"aaaaabbbbabbababbaab", "aaaabAbAbAbbAbbbAbab", "aaababbabAbbAbAbAbAb"}, {"aaaaabbbbabbababAbab", "aaaabAbAbAbbAbbbAAbb", "aaababbaBabbAbAbAbAb"}, {"aaaaabbbbabbababABab", "aaaabAbAbAbbAbbbABab", "aaababbaBAbbAbAbAbAb"}, {"aaaaabbbbabbababABAb", "aaaabAbAbAbbAbbbABAb", "aaababbaBBabAbAbAbAb"}, {"aaaaabbbbabbababABAB", "aaaaabAbAbAbbAbbbABB", "aaababbaBBAbAbAbAbAb"}, {"aaaaabbbbabbabaBabab", "aaaabAbAbAbbAbbaBabb", "aaababababaBBBaBaabb"}, {"aaaaabbbbabbabaBAbab", "aaaabAbAbAbbAbbaBAbb", "aaababbABabbAbAbAbAb"}, {"aaaaabbbbabbabaBABab", "aaaabAbAbAbbAbbaBBab", "aaababbABAbbAbAbAbAb"}, {"aaaaabbbbabbabaBABAb", "aaaabAbAbAbbAbbaBBAb", "aaababbABBabAbAbAbAb"}, {"aaaaabbbbabbabaBABAB", "aaaaabAbAbAbbAbbaBBB", "aaababbABBAbAbAbAbAb"}, {"aaaaabbbbabbabbaabab", "aaaabAbAbAbbAbbAbabb", "aaababababaBBBaBaBab"}, {"aaaaabbbbabbabbabaab", "aaaabAbAbAbbAbbAbbab", "aaabababbAbbAbAbAbAb"}, {"aaaaabbbbabbabAbabab", "aaaabAbAbAbbAbbAAbbb", "aaababababaBBBaBaBAB"}, {"aaaaabbbbabbabABabab", "aaaabAbAbAbbAbbABabb", "aaababababaBBBaBaBAb"}, {"aaaaabbbbabbabABAbab", "aaaabAbAbAbbAbbABAbb", "aaababaBBabbAbAbAbAb"}, {"aaaaabbbbabbabABABab", "aaaabAbAbAbbAbbABBab", "aaababaBBAbbAbAbAbAb"}, {"aaaaabbbbabbabABABAb", "aaaabAbAbAbbAbbABBAb", "aaababaBBBabAbAbAbAb"}, {"aaaaabbbbabbabABABAB", "aaaaabAbAbAbbAbbABBB", "aaababaBBBAbAbAbAbAb"}, {"aaaaabbbbabbaBababab", "aaaababababaBBBaBabb", "aaaabAbAbAbbAbaBabbb"}, {"aaaaabbbbabbaBAbabab", "aaaabAbAbAbbAbaBAbbb", "aaababababaBBBaBabAB"}, {"aaaaabbbbabbaBABabab", "aaaabAbAbAbbAbaBBabb", "aaababababaBBBaBabAb"}, {"aaaaabbbbabbaBABAbab", "aaaabAbAbAbbAbaBBAbb", "aaababABBabbAbAbAbAb"}, {"aaaaabbbbabbaBABABab", "aaaabAbAbAbbAbaBBBab", "aaababABBAbbAbAbAbAb"}, {"aaaaabbbbabbaBABABAb", "aaaabAbAbAbbAbaBBBAb", "aaababABBBabAbAbAbAb"}, {"aaaaabbbbabbaBABABAB", "aaaaabAbAbAbbAbaBBBB", "aaababABBBAbAbAbAbAb"}, {"aaaaabbbbabbbaababab", "aaaababababaBBBaBBab", "aaaabAbAbAbbAbAbabbb"}, {"aaaaabbbbabbbabaabab", "aaaabAbAbAbbAbAbbabb", "aaabaabbAbbbAbAbAbAb"}, {"aaaaabbbbabbbababaab", "aaaabAbAbAbbAbAbbbab", "aaabaababababaBBBaBB"}, {"aaaaabbbbabbAbababab", "aaaababababaBBBaBBAB", "aaaabbbbaBaBaBaaBaBB"}, {"aaaaabbbbabbABababab", "aaaababababaBBBaBBAb", "aaaabAbAbAbbAbABabbb"}, {"aaaaabbbbabbABAbabab", "aaaabAbAbAbbAbABAbbb", "aaabaaBBabbbAbAbAbAb"}, {"aaaaabbbbabbABABabab", "aaaabAbAbAbbAbABBabb", "aaabaaBBAbbbAbAbAbAb"}, {"aaaaabbbbabbABABAbab", "aaaabAbAbAbbAbABBAbb", "aaabaaBBBabbAbAbAbAb"}, {"aaaaabbbbabbABABABab", "aaaabAbAbAbbAbABBBab", "aaabaaBBBAbbAbAbAbAb"}, {"aaaaabbbbabbABABABAb", "aaaabAbAbAbbAbABBBAb", "aaaabABABABABAbbbAbb"}, {"aaaaabbbbabbABABABAB", "aaaaabAbAbAbbAbABBBB", "aaaabAbAbAbAbABBBABB"}, {"aaaaabbbbabAbabababb", "aaaabaBBBBabababaabb", "aaabaBabbbabAbAbAbAb"}, {"aaaaabbbbabAbababbab", "aaaabAbAbAbbAAbbbAbb", "aaabaBabbabbAbAbAbAb"}, {"aaaaabbbbabAbabbabab", "aaaabAbAbAbbAAbbAbbb", "aaababababaBBBaBABaB"}, {"aaaaabbbbabAbbababab", "aaaababababaBBBaBABB", "aaaabbbbaBaBaBaaBBaB"}, {"aaaaabbbbabABabababb", "aaaabAbAbAbbABabbbAb", "aaabaBaBaBaBabbbabAB"}, {"aaaaabbbbabABababbab", "aaaabAbAbAbbABabbAbb", "aaabaBAbbabbAbAbAbAb"}, {"aaaaabbbbabABabbabab", "aaaabAbAbAbbABabAbbb", "aaababababaBBBaBAbaB"}, {"aaaaabbbbabABAbababb", "aaaabAbAbAbbABAbbbAb", "aaabaBBabbabAbAbAbAb"}, {"aaaaabbbbabABAbabbab", "aaaabAbAbAbbABAbbAbb", "aaabaBBababbAbAbAbAb"}, {"aaaaabbbbabABAbbabab", "aaaabAbAbAbbABAbAbbb", "aaababababaBBBaBAABB"}, {"aaaaabbbbabABABababb", "aaaabAbAbAbbABBabbAb", "aaabaBBAbbabAbAbAbAb"}, {"aaaaabbbbabABABabbab", "aaaabAbAbAbbABBabAbb", "aaabaBBAbabbAbAbAbAb"}, {"aaaaabbbbabABABAbabb", "aaaabAbAbAbbABBAbbAb", "aaabaBBBababAbAbAbAb"}, {"aaaaabbbbabABABAbbab", "aaaabAbAbAbbABBAbAbb", "aaabaBBBaabbAbAbAbAb"}, {"aaaaabbbbabABABABabb", "aaaabAbAbAbbABBBabAb", "aaabaBBBAbabAbAbAbAb"}, {"aaaaabbbbabABABABAbb", "aaaabbABABABABAbbbAb", "aaaabAbAbAbbABBBAbAb"}, {"aaaaabbbbabABABABABB", "aaaaabAbAbAbbABBBBaB", "aaaabbAbAbAbAbABBBAB"}, {"aaaaabbbbabABABABBab", "aaaabAbAbAbbABBBaBab", "aaabaBBBAAbbAbAbAbAb"}, {"aaaaabbbbabABABABBAb", "aaaabAbAbAbbABBBaBAb", "aaabaBAbAbAbAbABBBAB"}, {"aaaaabbbbabABABABBAB", "aaaaabAbAbAbbABBBaBB", "aaababAbAbAbAbABBBAB"}, {"aaaaabbbbabABABBabab", "aaaabAbAbAbbABBaBabb", "aaababababaBBBaBAAbb"}, {"aaaaabbbbabABABBAbab", "aaaabAbAbAbbABBaBAbb", "aaabaBBABabbAbAbAbAb"}, {"aaaaabbbbabABABBABab", "aaaabAbAbAbbABBaBBab", "aaabaBBABAbbAbAbAbAb"}, {"aaaaabbbbabABABBABAb", "aaaabAbAbAbbABBaBBAb", "aaabaBBABBabAbAbAbAb"}, {"aaaaabbbbabABABBABAB", "aaaaabAbAbAbbABBaBBB", "aaabaBBABBAbAbAbAbAb"}, {"aaaaabbbbabABBababab", "aaaababababaBBBaBAbb", "aaaabAbAbAbbABaBabbb"}, {"aaaaabbbbabABBAbabab", "aaaabAbAbAbbABaBAbbb", "aaababababaBBBaBAbAB"}, {"aaaaabbbbabABBABabab", "aaaabAbAbAbbABaBBabb", "aaababababaBBBaBAbAb"}, {"aaaaabbbbabABBABAbab", "aaaabAbAbAbbABaBBAbb", "aaabaBABBabbAbAbAbAb"}, {"aaaaabbbbabABBABABab", "aaaabAbAbAbbABaBBBab", "aaabaBABBAbbAbAbAbAb"}, {"aaaaabbbbabABBABABAb", "aaaabAbAbAbbABaBBBAb", "aaabaBABBBabAbAbAbAb"}, {"aaaaabbbbabABBABABAB", "aaaaabAbAbAbbABaBBBB", "aaabaBABBBAbAbAbAbAb"}, {"aaaaabbbbaBababababb", "aaaabaBaBaBaBabbbaBB", "aaaabaBBBBabababaBAB"}, {"aaaaabbbbaBabababbab", "aaaabAbAbAbaBabbbAbb", "aaabaaBaBaBaBabbbaBB"}, {"aaaaabbbbaBababbabab", "aaaabAbAbAbaBabbAbbb", "aaababababaBBBabbaaB"}, {"aaaaabbbbaBabbababab", "aaaababababaBBBabbaB", "aaaabbbbaBaBaBabAbaB"}, {"aaaaabbbbaBAbabababb", "aaaabaBBBBabababaBAb", "aaabaBaBaBaBabbbaBAb"}, {"aaaaabbbbaBAbababbab", "aaaabAbAbAbaBAbbbAbb", "aaabABabbabbAbAbAbAb"}, {"aaaaabbbbaBAbabbabab", "aaaabAbAbAbaBAbbAbbb", "aaababababaBBBabABaB"}, {"aaaaabbbbaBAbbababab", "aaaababababaBBBabABB", "aaaabbbbaBaBaBabABaB"}, {"aaaaabbbbaBABabababb", "aaaabAbAbAbaBBabbbAb", "aaabaBaBaBaBabbbaBAB"}, {"aaaaabbbbaBABababbab", "aaaabAbAbAbaBBabbAbb", "aaabABAbbabbAbAbAbAb"}, {"aaaaabbbbaBABabbabab", "aaaabAbAbAbaBBabAbbb", "aaababababaBBBabAbaB"}, {"aaaaabbbbaBABAbababb", "aaaabAbAbAbaBBAbbbAb", "aaabABBabbabAbAbAbAb"}, {"aaaaabbbbaBABAbabbab", "aaaabAbAbAbaBBAbbAbb", "aaabABBababbAbAbAbAb"}, {"aaaaabbbbaBABAbbabab", "aaaabAbAbAbaBBAbAbbb", "aaababababaBBBabAABB"}, {"aaaaabbbbaBABABababb", "aaaabAbAbAbaBBBabbAb", "aaabABBAbbabAbAbAbAb"}, {"aaaaabbbbaBABABabbab", "aaaabAbAbAbaBBBabAbb", "aaabABBAbabbAbAbAbAb"}, {"aaaaabbbbaBABABAbabb", "aaaabAbAbAbaBBBAbbAb", "aaabAbABABABABAbbbAB"}, {"aaaaabbbbaBABABAbbab", "aaaabAbAbAbaBBBAbAbb", "aaabbAABABABABAbbbAB"}, {"aaaaabbbbaBABABABabb", "aaaabAbAbAbaBBBBabAb", "aaabABAbAbAbAbABBBAb"}, {"aaaaabbbbaBABABABAbb", "aaaabbABABABABAbbbAB", "aaaabAbAbAbaBBBBAbAb"}, {"aaaaabbbbaBABABABBab", "aaaababAbbbbABABABAb", "aaabbAAbAbAbAbABBBAb"}, {"aaaaabbbbaBABABABBAb", "aaaabaBAbbbbABABABAb", "aaabaBAbAbAbAbABBBAb"}, {"aaaaabbbbaBABABABBAB", "aaaaabAbAbAbaBBBBaBB", "aaababAbAbAbAbABBBAb"}, {"aaaaabbbbaBABABBabab", "aaaabAbAbAbaBBBaBabb", "aaababababaBBBabAAbb"}, {"aaaaabbbbaBABABBAbab", "aaaabAbAbAbaBBBaBAbb", "aaabABBABabbAbAbAbAb"}, {"aaaaabbbbaBABABBABab", "aaaabAbAbAbaBBBaBBab", "aaabABBABAbbAbAbAbAb"}, {"aaaaabbbbaBABABBABAb", "aaaabAbAbAbaBBBaBBAb", "aaabABBABBabAbAbAbAb"}, {"aaaaabbbbaBABABBABAB", "aaaaabAbAbAbaBBBaBBB", "aaabABBABBAbAbAbAbAb"}, {"aaaaabbbbaBABBababab", "aaaababababaBBBabAbb", "aaaabAbAbAbaBBaBabbb"}, {"aaaaabbbbaBABBAbabab", "aaaabAbAbAbaBBaBAbbb", "aaababababaBBBabAbAB"}, {"aaaaabbbbaBABBABabab", "aaaabAbAbAbaBBaBBabb", "aaababababaBBBabAbAb"}, {"aaaaabbbbaBABBABAbab", "aaaabAbAbAbaBBaBBAbb", "aaabABABBabbAbAbAbAb"}, {"aaaaabbbbaBABBABABab", "aaaabAbAbAbaBBaBBBab", "aaabABABBAbbAbAbAbAb"}, {"aaaaabbbbaBABBABABAb", "aaaabAbAbAbaBBaBBBAb", "aaabABABABABAbbbABaB"}, {"aaaaabbbbaBABBABABAB", "aaaaabAbAbAbaBBaBBBB", "aaabAbAbAbAbABBBAbab"}, {"aaaaabbbbaBBAbababab", "aaaababababaBBBabbAB", "aaaabbbbaBaBaBabAbAB"}, {"aaaaabbbbaBBABababab", "aaaababababaBBBabbAb", "aaaabAbAbAbaBaBBabbb"}, {"aaaaabbbbaBBABAbabab", "aaaabAbAbAbaBaBBAbbb", "aaababababaBBBabbAAB"}, {"aaaaabbbbaBBABABabab", "aaaabAbAbAbaBaBBBabb", "aaababababaBBBabbAAb"}, {"aaaaabbbbaBBABABAbab", "aaaabAbAbAbaBaBBBAbb", "aaabAABABABABAbbbABB"}, {"aaaaabbbbaBBABABABab", "aaaabAbbbbABABABAbab", "aaabAAbAbAbAbABBBAbb"}, {"aaaaabbbbaBBABABABAb", "aaaabAbAbAbaBaBBBBAb", "aaaabABABABABAbbbABB"}, {"aaaaabbbbaBBABABABAB", "aaaaabbbbbABABABAbab", "aaaabAbAbAbAbABBBAbb"}, {"aaaaabbbbbaBAbababab", "aaaababababaBBBBabAB", "aaaabbbbaBaBaBaBabAB"}, {"aaaaabbbbbaBABababab", "aaaababababaBBBBabAb", "aaaabAbAbAbAbaBBabbb"}, {"aaaaabbbbbaBABAbabab", "aaaabAbAbAbAbaBBAbbb", "aaaabABBabbbAbAbAbAb"}, {"aaaaabbbbbaBABABabab", "aaaabAbAbAbAbaBBBabb", "aaaabABBAbbbAbAbAbAb"}, {"aaaaabbbbbaBABABAbab", "aaaabAbAbAbAbaBBBAbb", "aaaabABBBabbAbAbAbAb"}, {"aaaaabbbbbaBABABABab", "aaaabAbbbbABABABABAb", "aaaabABBBAbbAbAbAbAb"}, {"aaaaabbbbbaBABABABAb", "aaaabAbAbAbAbaBBBBAb", "aaaabABABABABAbbbbAB"}, {"aaaaabbbbbaBABABABAB", "aaaaabbbbbABABABABAb", "aaaabAbAbAbAbABBBBAb"}, {"aaaaabbbbbABABababab", "aaaaabbABBBBABABABAB", "aaaabAbAbAbAbABBabbb"}, {"aaaaabbbbbABABABabab", "aaaaabbbABBBABABABAB", "aaaabAbAbAbAbABBBabb"}, {"aaaaabbbbbABABABABab", "aaaaabbbbABBABABABAB", "aaaabAbbbbABABABABAB"}, {"aaaaabbbbAbabababbab", "aaaabaaBBBBababababb", "aaaabaBBBaBBABABABAB"}, {"aaaaabbbbAbababbabab", "aaaabaBBaBBBABABABAB", "aaaabAbAbAbAAbbbAbbb"}, {"aaaaabbbbAbabbababab", "aaaababababaBBBBABaB", "aaaabbbbaBaBaBaBBaaB"}, {"aaaaabbbbABababababb", "aaaabaBaBaBaBabbbbAB", "aaaabaBBBBababababAB"}, {"aaaaabbbbABabababbab", "aaaabAbAbAbABabbbAbb", "aaaabABBBaBBABABABAB"}, {"aaaaabbbbABababbabab", "aaaabAbAbAbABabbAbbb", "aaaabABBaBBBABABABAB"}, {"aaaaabbbbABabbababab", "aaaababababaBBBBAbaB", "aaaabbbbaBaBaBaBAbaB"}, {"aaaaabbbbABAbabababb", "aaaabaBBBBababababAb", "aaaabbaBBBaBABABABAB"}, {"aaaaabbbbABAbababbab", "aaaabbaBBaBBABABABAB", "aaaabAbAbAbABAbbbAbb"}, {"aaaaabbbbABAbabbabab", "aaaabbaBaBBBABABABAB", "aaaabAbAbAbABAbbAbbb"}, {"aaaaabbbbABAbbababab", "aaaababababaBBBBAABB", "aaaabbbbaBaBaBaBABaB"}, {"aaaaabbbbABABabababb", "aaaabbABBBaBABABABAB", "aaaabAbAbAbABBabbbAb"}, {"aaaaabbbbABABababbab", "aaaabbABBaBBABABABAB", "aaaabAbAbAbABBabbAbb"}, {"aaaaabbbbABABabbabab", "aaaabbABaBBBABABABAB", "aaaabAbAbAbABBabAbbb"}, {"aaaaabbbbABABAbababb", "aaaabbbaBBaBABABABAB", "aaaabAbAbAbABBAbbbAb"}, {"aaaaabbbbABABAbabbab", "aaaabbbaBaBBABABABAB", "aaaabAbAbAbABBAbbAbb"}, {"aaaaabbbbABABAbbabab", "aaaabbbaaBBBABABABAB", "aaaabAbAbAbABBAbAbbb"}, {"aaaaabbbbABABABababb", "aaaabbbABBaBABABABAB", "aaaabAbAbAbABBBabbAb"}, {"aaaaabbbbABABABabbab", "aaaabbbABaBBABABABAB", "aaaabAbAbAbABBBabAbb"}, {"aaaaabbbbABABABAbabb", "aaaabbbbaBaBABABABAB", "aaaabAbAbAbABBBAbbAb"}, {"aaaaabbbbABABABAbbab", "aaaabbbbaaBBABABABAB", "aaaabAbAbAbABBBAbAbb"}, {"aaaaabbbbABABABABabb", "aaaabbbbABaBABABABAB", "aaaabAbAbAbABBBBabAb"}, {"aaaaabbbbABABABABAbb", "aaaaabbABABABABAbbbb", "aaaabAbAbAbABBBBAbAb"}, {"aaaaabbbbABABABABBab", "aaaababAbbbbABABABAB", "aaaabbbbAABBABABABAB"}, {"aaaaabbbbABABABABBAb", "aaaabaBAbbbbABABABAB", "aaaabaBAbAbAbAbABBBB"}, {"aaaaabbbbABABABABBAB", "aaaaabAbAbAbABBBBaBB", "aaaababAbAbAbAbABBBB"}, {"aaaaabbbbABABABBabab", "aaaabbbAABBBABABABAB", "aaaabAbAbAbABBBaBabb"}, {"aaaaabbbbABABABBAbab", "aaaabbbAbaBBABABABAB", "aaaabAbAbAbABBBaBAbb"}, {"aaaaabbbbABABABBABab", "aaaabbbAbABBABABABAB", "aaaabAbAbAbABBBaBBab"}, {"aaaaabbbbABABABBABAb", "aaaabbbAbbaBABABABAB", "aaaabAbAbAbABBBaBBAb"}, {"aaaaabbbbABABABBABAB", "aaaaabAbAbAbABBBaBBB", "aaaabbbAbbABABABABAB"}, {"aaaaabbbbABABBababab", "aaaababababaBBBBAAbb", "aaaabAbAbAbABBaBabbb"}, {"aaaaabbbbABABBAbabab", "aaaabbAbaBBBABABABAB", "aaaabAbAbAbABBaBAbbb"}, {"aaaaabbbbABABBABabab", "aaaabbAbABBBABABABAB", "aaaabAbAbAbABBaBBabb"}, {"aaaaabbbbABABBABAbab", "aaaabbAbbaBBABABABAB", "aaaabAbAbAbABBaBBAbb"}, {"aaaaabbbbABABBABABab", "aaaabbAbbABBABABABAB", "aaaabAbAbAbABBaBBBab"}, {"aaaaabbbbABABBABABAb", "aaaabbAbbbaBABABABAB", "aaaabAbAbAbABBaBBBAb"}, {"aaaaabbbbABABBABABAB", "aaaaabAbAbAbABBaBBBB", "aaaabbAbbbABABABABAB"}, {"aaaaabbbbABBAbababab", "aaaababababaBBBBAbAB", "aaaabbbbaBaBaBaBAbAB"}, {"aaaaabbbbABBABababab", "aaaababababaBBBBAbAb", "aaaabAbAbAbABaBBabbb"}, {"aaaaabbbbABBABAbabab", "aaaabAbbaBBBABABABAB", "aaaabAbAbAbABaBBAbbb"}, {"aaaaabbbbABBABABabab", "aaaabAbbABBBABABABAB", "aaaabAbAbAbABaBBBabb"}, {"aaaaabbbbABBABABAbab", "aaaabAbbbaBBABABABAB", "aaaabAbAbAbABaBBBAbb"}, {"aaaaabbbbABBABABABab", "aaaabAbbbbABABABABab", "aaaabAbbbABBABABABAB"}, {"aaaaabbbbABBABABABAb", "aaaabAbbbbaBABABABAB", "aaaabAbAbAbABaBBBBAb"}, {"aaaaabbbAbabababbabb", "aaaabaabaBBBBabababb", "aaababaBaBaBaBabbbAb"}, {"aaaaabbbAbabababbbab", "aaaababaaBBBBabababb", "aaabaBBBaaBBABABABAB"}, {"aaaaabbbAbababbababb", "aaaabAbAbAAbbbAbbbAb", "aaabaBBaBBaBABABABAB"}, {"aaaaabbbAbababbabbab", "aaaabAbAbAAbbbAbbAbb", "aaabaBBaBaBBABABABAB"}, {"aaaaabbbAbababbbabab", "aaaabAbAbAAbbbAbAbbb", "aaababababaBBBABaaBB"}, {"aaaaabbbAbabbabababb", "aaaabaBBBBabababbaab", "aaabaBaBaBaBabbbAbab"}, {"aaaaabbbAbabbababbab", "aaaabAbAbAAbbAbbbAbb", "aaabaBaBBaBBABABABAB"}, {"aaaaabbbAbabbabbabab", "aaaabAbAbAAbbAbbAbbb", "aaababababaBBBABaBaB"}, {"aaaaabbbAbabbbababab", "aaaababababaBBBABaBB", "aaaabbbbaBaBaBBaaBaB"}, {"aaaaabbbAbbabababbab", "aaaabaaBBBBabababbab", "aaabaaBaBaBaBabbbAbb"}, {"aaaaabbbAbbababbabab", "aaaabAbAbAAbAbbbAbbb", "aaabaaBBaBBBABABABAB"}, {"aaaaabbbAbbabbababab", "aaaababababaBBBABBaB", "aaaabbbbaBaBaBBaBaaB"}, {"aaaaabbbABababababbb", "aaaababaBBBBabababAB", "aaaabbaBaBaBaBabbbAB"}, {"aaaaabbbABabababbabb", "aaaabAbAbABabbbAbbAb", "aaababaBaBaBaBabbbAB"}, {"aaaaabbbABabababbbab", "aaaabAbAbABabbbAbAbb", "aaabbaaBaBaBaBabbbAB"}, {"aaaaabbbABababbababb", "aaaabAbAbABabbAbbbAb", "aaabABBaBBaBABABABAB"}, {"aaaaabbbABababbabbab", "aaaabAbAbABabbAbbAbb", "aaabABBaBaBBABABABAB"}, {"aaaaabbbABababbbabab", "aaaabAbAbABabbAbAbbb", "aaababababaBBBAbaaBB"}, {"aaaaabbbABabbabababb", "aaaabaBBBBabababABab", "aaabaBaBaBaBabbbABab"}, {"aaaaabbbABabbababbab", "aaaabAbAbABabAbbbAbb", "aaabABaBBaBBABABABAB"}, {"aaaaabbbABabbabbabab", "aaaabAbAbABabAbbAbbb", "aaababababaBBBAbaBaB"}, {"aaaaabbbABabbbababab", "aaaababababaBBBAbaBB", "aaaabbbbaBaBaBAbaBaB"}, {"aaaaabbbABAbabababbb", "aaaababaBBBBabababAb", "aaabbaBaBaBaBabbbAAb"}, {"aaaaabbbABAbababbabb", "aaaabAbAbABAbbbAbbAb", "aaabbaBBaBaBABABABAB"}, {"aaaaabbbABAbababbbab", "aaaabAbAbABAbbbAbAbb", "aaabbaBBaaBBABABABAB"}, {"aaaaabbbABAbabbababb", "aaaabAbAbABAbbAbbbAb", "aaabbaBaBBaBABABABAB"}, {"aaaaabbbABAbabbabbab", "aaaabAbAbABAbbAbbAbb", "aaabbaBaBaBBABABABAB"}, {"aaaaabbbABAbabbbabab", "aaaabAbAbABAbbAbAbbb", "aaababababaBBBAABaBB"}, {"aaaaabbbABAbbabababb", "aaaabaBBBBabababAbab", "aaabaBaBaBaBabbbAAbb"}, {"aaaaabbbABAbbababbab", "aaaabAbAbABAbAbbbAbb", "aaabbaaBBaBBABABABAB"}, {"aaaaabbbABAbbabbabab", "aaaabAbAbABAbAbbAbbb", "aaababababaBBBAABBaB"}, {"aaaaabbbABAbbbababab", "aaaababababaBBBAABBB", "aaaabbbbaBaBaBABaBaB"}, {"aaaaabbbABABabababbb", "aaaabAbAbABBabbbAbAb", "aaabbaBaBaBaBabbbAAB"}, {"aaaaabbbABABababbabb", "aaaabAbAbABBabbAbbAb", "aaabbABBaBaBABABABAB"}, {"aaaaabbbABABababbbab", "aaaabAbAbABBabbAbAbb", "aaabbABBaaBBABABABAB"}, {"aaaaabbbABABabbababb", "aaaabAbAbABBabAbbbAb", "aaabbABaBBaBABABABAB"}, {"aaaaabbbABABabbabbab", "aaaabAbAbABBabAbbAbb", "aaabbABaBaBBABABABAB"}, {"aaaaabbbABABabbbabab", "aaaabAbAbABBabAbAbbb", "aaababababaBBBAAbaBB"}, {"aaaaabbbABABAbababbb", "aaaabAbAbABBAbbbAbAb", "aaabbbaBBaaBABABABAB"}, {"aaaaabbbABABAbabbabb", "aaaabAbAbABBAbbAbbAb", "aaabbbaBaBaBABABABAB"}, {"aaaaabbbABABAbabbbab", "aaaabAbAbABBAbbAbAbb", "aaabbbaBaaBBABABABAB"}, {"aaaaabbbABABAbbababb", "aaaabAbAbABBAbAbbbAb", "aaabbbaaBBaBABABABAB"}, {"aaaaabbbABABAbbabbab", "aaaabAbAbABBAbAbbAbb", "aaabbbaaBaBBABABABAB"}, {"aaaaabbbABABAbbbabab", "aaaabAbAbABBAbAbAbbb", "aaababababaBBBAAABBB"}, {"aaaaabbbABABABababbb", "aaaabAbAbABBBabbAbAb", "aaabbbABBaaBABABABAB"}, {"aaaaabbbABABABabbabb", "aaaabAbAbABBBabAbbAb", "aaabbbABaBaBABABABAB"}, {"aaaaabbbABABABabbbab", "aaaabAbAbABBBabAbAbb", "aaabbbABaaBBABABABAB"}, {"aaaaabbbABABABAbabbb", "aaaabAbbABABABABAbbb", "aaaabAbAbABBBAbbAbAb"}, {"aaaaabbbABABABAbbabb", "aaaabbAbABABABABAbbb", "aaaabAbAbABBBAbAbbAb"}, {"aaaaabbbABABABAbbbab", "aaaabbbAABABABABAbbb", "aaaabAbAbABBBAbAbAbb"}, {"aaaaabbbABABABABabbb", "aaaabAbAbABBBBabAbAb", "aaaabABBAbAbAbAbABBB"}, {"aaaaabbbABABABABBabb", "aaaababABAbbbbABABAB", "aaaabbABAbAbAbAbABBB"}, {"aaaaabbbABABABABBAbb", "aaaabaBABAbbbbABABAB", "aaaabaBBAbAbAbAbABBB"}, {"aaaaabbbABABABABBABB", "aaaaabAbAbABBBBaBBaB", "aaaababbAbAbAbAbABBB"}, {"aaaaabbbABABABABBBab", "aaaabababAbbbbABABAB", "aaaabbbAAbAbAbAbABBB"}, {"aaaaabbbABABABABBBAb", "aaaababaBAbbbbABABAB", "aaaabbaBAbAbAbAbABBB"}, {"aaaaabbbABABABABBBAB", "aaaaabAbAbABBBBaBaBB", "aaaabbabAbAbAbAbABBB"}, {"aaaaabbbABABABBababb", "aaaabAbAbABBBaBabbAb", "aaabbbAABBaBABABABAB"}, {"aaaaabbbABABABBabbab", "aaaabAbAbABBBaBabAbb", "aaabbbAABaBBABABABAB"}, {"aaaaabbbABABABBAbabb", "aaaabAbAbABBBaBAbbAb", "aaabaBABAbAbAbAbABBB"}, {"aaaaabbbABABABBAbbab", "aaaabAbAbABBBaBAbAbb", "aaabaBBAAbAbAbAbABBB"}, {"aaaaabbbABABABBABabb", "aaaabAbAbABBBaBBabAb", "aaababABAbAbAbAbABBB"}, {"aaaaabbbABABABBABAbb", "aaaabAbAbABBBaBBAbAb", "aaabaaBBAbAbAbAbABBB"}, {"aaaaabbbABABABBABABB", "aaaaabAbAbABBBaBBBaB", "aaabaabbAbAbAbAbABBB"}, {"aaaaabbbABABABBABBab", "aaaabAbAbABBBaBBaBab", "aaababbAAbAbAbAbABBB"}, {"aaaaabbbABABABBABBAb", "aaaabAbAbABBBaBBaBAb", "aaababaBAbAbAbAbABBB"}, {"aaaaabbbABABABBABBAB", "aaaaabAbAbABBBaBBaBB", "aaabababAbAbAbAbABBB"}, {"aaaaabbbABABABBBabab", "aaaabAbAbABBBaBaBabb", "aaababababaBBBAAAbbb"}, {"aaaaabbbABABABBBAbab", "aaaabAbAbABBBaBaBAbb", "aaabbaBAAbAbAbAbABBB"}, {"aaaaabbbABABABBBABab", "aaaabAbAbABBBaBaBBab", "aaabbabAAbAbAbAbABBB"}, {"aaaaabbbABABABBBABAb", "aaaabAbAbABBBaBaBBAb", "aaabbaaBAbAbAbAbABBB"}, {"aaaaabbbABABABBBABAB", "aaaaabAbAbABBBaBaBBB", "aaabbaabAbAbAbAbABBB"}, {"aaaaabbbABABBabababb", "aaaabAbAbABBaBabbbAb", "aaabaBaBaBaBabbbAABB"}, {"aaaaabbbABABBababbab", "aaaabAbAbABBaBabbAbb", "aaabbAABBaBBABABABAB"}, {"aaaaabbbABABBabbabab", "aaaabAbAbABBaBabAbbb", "aaababababaBBBAAbbaB"}, {"aaaaabbbABABBAbababb", "aaaabAbAbABBaBAbbbAb", "aaabbAbaBBaBABABABAB"}, {"aaaaabbbABABBAbabbab", "aaaabAbAbABBaBAbbAbb", "aaabbAbaBaBBABABABAB"}, {"aaaaabbbABABBAbbabab", "aaaabAbAbABBaBAbAbbb", "aaababababaBBBAAbABB"}, {"aaaaabbbABABBABababb", "aaaabAbAbABBaBBabbAb", "aaabbAbABBaBABABABAB"}, {"aaaaabbbABABBABabbab", "aaaabAbAbABBaBBabAbb", "aaabbAbABaBBABABABAB"}, {"aaaaabbbABABBABAbabb", "aaaabAbAbABBaBBAbbAb", "aaabbAbbaBaBABABABAB"}, {"aaaaabbbABABBABAbbab", "aaaabAbAbABBaBBAbAbb", "aaabbAbbaaBBABABABAB"}, {"aaaaabbbABABBABABabb", "aaaabAbAbABBaBBBabAb", "aaabbAbbABaBABABABAB"}, {"aaaaabbbABABBABABAbb", "aaaabAbAbABBaBBBAbAb", "aaabbAbbbaaBABABABAB"}, {"aaaaabbbABABBABABABB", "aaaaabAbAbABBaBBBBaB", "aaabbAbbbAABABABABAB"}, {"aaaaabbbABABBABABBab", "aaaabAbAbABBaBBBaBab", "aaabbAbbAABBABABABAB"}, {"aaaaabbbABABBABABBAb", "aaaabAbAbABBaBBBaBAb", "aaabbAbbAbaBABABABAB"}, {"aaaaabbbABABBABABBAB", "aaaaabAbAbABBaBBBaBB", "aaabbAbbAbABABABABAB"}, {"aaaaabbbABABBABBabab", "aaaabAbAbABBaBBaBabb", "aaababababaBBBAAbAbb"}, {"aaaaabbbABABBABBAbab", "aaaabAbAbABBaBBaBAbb", "aaabbAbAbaBBABABABAB"}, {"aaaaabbbABABBABBABab", "aaaabAbAbABBaBBaBBab", "aaabbAbAbABBABABABAB"}, {"aaaaabbbABABBABBABAb", "aaaabAbAbABBaBBaBBAb", "aaabbAbAbbaBABABABAB"}, {"aaaaabbbABABBABBABAB", "aaaaabAbAbABBaBBaBBB", "aaabbAbAbbABABABABAB"}, {"aaaaabbbABABBBababab", "aaaababababaBBBAAbbb", "aaaabAbAbABBaBaBabbb"}, {"aaaaabbbABABBBAbabab", "aaaabAbAbABBaBaBAbbb", "aaababababaBBBAAbbAB"}, {"aaaaabbbABABBBABabab", "aaaabAbAbABBaBaBBabb", "aaababababaBBBAAbbAb"}, {"aaaaabbbABABBBABAbab", "aaaabAbAbABBaBaBBAbb", "aaabbAAbbaBBABABABAB"}, {"aaaaabbbABABBBABABab", "aaaabAbAbABBaBaBBBab", "aaabbAAbbABBABABABAB"}, {"aaaaabbbABABBBABABAb", "aaaabAbAbABBaBaBBBAb", "aaabbAAbbbaBABABABAB"}, {"aaaaabbbABABBBABABAB", "aaaaabAbAbABBaBaBBBB", "aaabbAAbbbABABABABAB"}, {"aaaaabbbABBababababb", "aaaabaBaBaBaBabbbABB", "aaaabaBBBBabababABAB"}, {"aaaaabbbABBabababbab", "aaaabAbAbABaBabbbAbb", "aaabaaBaBaBaBabbbABB"}, {"aaaaabbbABBababbabab", "aaaabAbAbABaBabbAbbb", "aaababababaBBBAbbaaB"}, {"aaaaabbbABBabbababab", "aaaababababaBBBAbbaB", "aaaabbbbaBaBaBAbAbaB"}, {"aaaaabbbABBAbabababb", "aaaabaBBBBabababABAb", "aaabaBaBaBaBabbbABAb"}, {"aaaaabbbABBAbababbab", "aaaabAbAbABaBAbbbAbb", "aaabAbaBBaBBABABABAB"}, {"aaaaabbbABBAbabbabab", "aaaabAbAbABaBAbbAbbb", "aaababababaBBBAbABaB"}, {"aaaaabbbABBAbbababab", "aaaababababaBBBAbABB", "aaaabbbbaBaBaBAbABaB"}, {"aaaaabbbABBABabababb", "aaaabAbAbABaBBabbbAb", "aaabaBaBaBaBabbbABAB"}, {"aaaaabbbABBABababbab", "aaaabAbAbABaBBabbAbb", "aaabAbABBaBBABABABAB"}, {"aaaaabbbABBABabbabab", "aaaabAbAbABaBBabAbbb", "aaababababaBBBAbAbaB"}, {"aaaaabbbABBABAbababb", "aaaabAbAbABaBBAbbbAb", "aaabAbbaBBaBABABABAB"}, {"aaaaabbbABBABAbabbab", "aaaabAbAbABaBBAbbAbb", "aaabAbbaBaBBABABABAB"}, {"aaaaabbbABBABAbbabab", "aaaabAbAbABaBBAbAbbb", "aaababababaBBBAbAABB"}, {"aaaaabbbABBABABababb", "aaaabAbAbABaBBBabbAb", "aaabAbbABBaBABABABAB"}, {"aaaaabbbABBABABabbab", "aaaabAbAbABaBBBabAbb", "aaabAbbABaBBABABABAB"}, {"aaaaabbbABBABABAbabb", "aaaabAbAbABaBBBAbbAb", "aaabAbbbaBaBABABABAB"}, {"aaaaabbbABBABABAbbab", "aaaabAbAbABaBBBAbAbb", "aaabbAABABABABAbbbaB"}, {"aaaaabbbABBABABABabb", "aaaabAbAbABaBBBBabAb", "aaabAbbbABaBABABABAB"}, {"aaaaabbbABBABABABAbb", "aaaabbABABABABAbbbaB", "aaaabAbAbABaBBBBAbAb"}, {"aaaaabbbABBABABABBab", "aaaababAbbbbABABABab", "aaabbAAbAbAbAbABBBab"}, {"aaaaabbbABBABABABBAb", "aaaabaBAbbbbABABABab", "aaabaBAbAbAbAbABBBab"}, {"aaaaabbbABBABABABBAB", "aaaaabAbAbABaBBBBaBB", "aaababAbAbAbAbABBBab"}, {"aaaaabbbABBABABBabab", "aaaabAbAbABaBBBaBabb", "aaababababaBBBAbAAbb"}, {"aaaaabbbABBABABBAbab", "aaaabAbAbABaBBBaBAbb", "aaabAbbAbaBBABABABAB"}, {"aaaaabbbABBABABBABab", "aaaabAbAbABaBBBaBBab", "aaabAbbAbABBABABABAB"}, {"aaaaabbbABBABABBABAb", "aaaabAbAbABaBBBaBBAb", "aaabAbbAbbaBABABABAB"}, {"aaaaabbbABBABABBABAB", "aaaaabAbAbABaBBBaBBB", "aaabAbbAbbABABABABAB"}, {"aaaaabbbABBABBababab", "aaaababababaBBBAbAbb", "aaaabAbAbABaBBaBabbb"}, {"aaaaabbbABBABBAbabab", "aaaabAbAbABaBBaBAbbb", "aaababababaBBBAbAbAB"}, {"aaaaabbbABBABBABabab", "aaaabAbAbABaBBaBBabb", "aaababababaBBBAbAbAb"}, {"aaaaabbbABBABBABAbab", "aaaabAbAbABaBBaBBAbb", "aaabAbAbbaBBABABABAB"}, {"aaaaabbbABBABBABABab", "aaaabAbAbABaBBaBBBab", "aaabAbAbbABBABABABAB"}, {"aaaaabbbABBABBABABAb", "aaaabAbAbABaBBaBBBAb", "aaabAbAbbbaBABABABAB"}, {"aaaaabbbABBABBABABAB", "aaaaabAbAbABaBBaBBBB", "aaabAbAbbbABABABABAB"}, {"aaaaabbbABBBAbababab", "aaaababababaBBBAbbAB", "aaaabbbbaBaBaBAbAbAB"}, {"aaaaabbbABBBABababab", "aaaababababaBBBAbbAb", "aaaabAbAbABaBaBBabbb"}, {"aaaaabbbABBBABAbabab", "aaaabAbAbABaBaBBAbbb", "aaababababaBBBAbbAAB"}, {"aaaaabbbABBBABABabab", "aaaabAbAbABaBaBBBabb", "aaababababaBBBAbbAAb"}, {"aaaaabbbABBBABABAbab", "aaaabAbAbABaBaBBBAbb", "aaabAAbbbaBBABABABAB"}, {"aaaaabbbABBBABABABab", "aaaabAbbbbABABABabab", "aaabAAbbbABBABABABAB"}, {"aaaaabbbABBBABABABAb", "aaaabAbAbABaBaBBBBAb", "aaaabABABABABAbbbaBB"}, {"aaaaabbAbabababbabbb", "aaaabaababaBBBBababb", "aaababbaBaBaBaBabbAb"}, {"aaaaabbAbabababbbabb", "aaaababaabaBBBBababb", "aaabbabaBaBaBaBabbAb"}, {"aaaaabbAbabababbbbab", "aaaabababaaBBBBababb", "aaabbbaaBaBaBaBabbAb"}, {"aaaaabbAbababbababbb", "aaaabAbAAbbbAbbbAbAb", "aabaabbaBaBaBaBabbAb"}, {"aaaaabbAbababbabbabb", "aaaabAbAAbbbAbbAbbAb", "aabababaBaBaBaBabbAb"}, {"aaaaabbAbababbabbbab", "aaaabAbAAbbbAbbAbAbb", "aababababaBBABaaBaBB"}, {"aaaaabbAbababbbababb", "aaaabAbAAbbbAbAbbbAb", "aabaBaBaBaBabbAbaabb"}, {"aaaaabbAbababbbabbab", "aaaabAbAAbbbAbAbbAbb", "aababababaBBABaaBBaB"}, {"aaaaabbAbababbbbabab", "aaaabAbAAbbbAbAbAbbb", "aaababababaBBABaaBBB"}, {"aaaaabbAbabbabababbb", "aaaababaBBBBababbaab", "aaabbaBaBaBaBabbAbab"}, {"aaaaabbAbabbababbabb", "aaaabAbAAbbAbbbAbbAb", "aababaBaBaBaBabbAbab"}, {"aaaaabbAbabbababbbab", "aaaabAbAAbbAbbbAbAbb", "aababababaBBABaBaaBB"}, {"aaaaabbAbabbabbababb", "aaaabAbAAbbAbbAbbbAb", "aabaBaBaBaBabbAbabab"}, {"aaaaabbAbabbabbabbab", "aaaabAbAAbbAbbAbbAbb", "aababababaBBABaBaBaB"}, {"aaaaabbAbabbabbbabab", "aaaabAbAAbbAbbAbAbbb", "aaababababaBBABaBaBB"}, {"aaaaabbAbabbbabababb", "aaaabaBBBBababbaabab", "aaabaBaBaBaBabbAbabb"}, {"aaaaabbAbabbbababbab", "aaaabAbAAbbAbAbbbAbb", "aabaaBaBaBaBabbAbabb"}, {"aaaaabbAbabbbabbabab", "aaaabAbAAbbAbAbbAbbb", "aaababababaBBABaBBaB"}, {"aaaaabbAbabbbbababab", "aaaababababaBBABaBBB", "aaaabbbbaBaBBaaBaBaB"}, {"aaaaabbAbbabababbabb", "aaaabaabaBBBBababbab", "aaababaBaBaBaBabbAbb"}, {"aaaaabbAbbabababbbab", "aaaababaaBBBBababbab", "aaabbaaBaBaBaBabbAbb"}, {"aaaaabbAbbababbababb", "aaaabAbAAbAbbbAbbbAb", "aabaabaBaBaBaBabbAbb"}, {"aaaaabbAbbababbabbab", "aaaabAbAAbAbbbAbbAbb", "aabaaBBaBaBBABABABAB"}, {"aaaaabbAbbababbbabab", "aaaabAbAAbAbbbAbAbbb", "aaababababaBBABBaaBB"}, {"aaaaabbAbbabbabababb", "aaaabaBBBBababbabaab", "aaabaBaBaBaBabbAbbab"}, {"aaaaabbAbbabbababbab", "aaaabAbAAbAbbAbbbAbb", "aabaaBaBaBaBabbAbbab"}, {"aaaaabbAbbabbabbabab", "aaaabAbAAbAbbAbbAbbb", "aaababababaBBABBaBaB"}, {"aaaaabbAbbabbbababab", "aaaababababaBBABBaBB", "aaaabbbbaBaBBaBaaBaB"}, {"aaaaabbAbbbabababbab", "aaaabaaBBBBababbabab", "aaabaaBaBaBaBabbAbbb"}, {"aaaaabbAbbbababbabab", "aaaabAbAAbAbAbbbAbbb", "aaababababaBBABBBaaB"}, {"aaaaabbAbbbabbababab", "aaaababababaBBABBBaB", "aaaabbbbaBaBBaBaBaaB"}, {"aaaaabbABababababbbb", "aaaabababaBBBBababAB", "aaaabbbaBaBaBaBabbAB"}, {"aaaaabbABabababbabbb", "aaaabAbABabbbAbbAbAb", "aaababbaBaBaBaBabbAB"}, {"aaaaabbABabababbbabb", "aaaabAbABabbbAbAbbAb", "aaabbabaBaBaBaBabbAB"}, {"aaaaabbABabababbbbab", "aaaabAbABabbbAbAbAbb", "aaabbbaaBaBaBaBabbAB"}, {"aaaaabbABababbababbb", "aaaabAbABabbAbbbAbAb", "aabaabbaBaBaBaBabbAB"}, {"aaaaabbABababbabbabb", "aaaabAbABabbAbbAbbAb", "aabababaBaBaBaBabbAB"}, {"aaaaabbABababbabbbab", "aaaabAbABabbAbbAbAbb", "aababababaBBAbaaBaBB"}, {"aaaaabbABababbbababb", "aaaabAbABabbAbAbbbAb", "aabaBaBaBaBabbABaabb"}, {"aaaaabbABababbbabbab", "aaaabAbABabbAbAbbAbb", "aababababaBBAbaaBBaB"}, {"aaaaabbABababbbbabab", "aaaabAbABabbAbAbAbbb", "aaababababaBBAbaaBBB"}, {"aaaaabbABabbabababbb", "aaaababaBBBBababABab", "aaabbaBaBaBaBabbABab"}, {"aaaaabbABabbababbabb", "aaaabAbABabAbbbAbbAb", "aababaBaBaBaBabbABab"}, {"aaaaabbABabbababbbab", "aaaabAbABabAbbbAbAbb", "aababababaBBAbaBaaBB"}, {"aaaaabbABabbabbababb", "aaaabAbABabAbbAbbbAb", "aabaBaBaBaBabbABabab"}, {"aaaaabbABabbabbabbab", "aaaabAbABabAbbAbbAbb", "aababababaBBAbaBaBaB"}, {"aaaaabbABabbabbbabab", "aaaabAbABabAbbAbAbbb", "aaababababaBBAbaBaBB"}, {"aaaaabbABabbbabababb", "aaaabaBBBBababABabab", "aaabaBaBaBaBabbABabb"}, {"aaaaabbABabbbababbab", "aaaabAbABabAbAbbbAbb", "aabaaBaBaBaBabbABabb"}, {"aaaaabbABabbbabbabab", "aaaabAbABabAbAbbAbbb", "aaababababaBBAbaBBaB"}, {"aaaaabbABabbbbababab", "aaaababababaBBAbaBBB", "aaaabbbbaBaBAbaBaBaB"}, {"aaaaabbABAbabababbbb", "aaaabababaBBBBababAb", "aaabbbaBaBaBaBabbAAb"}, {"aaaaabbABAbababbabbb", "aaaabAbABAbbbAbbAbAb", "aababbaBaBaBaBabbAAb"}, {"aaaaabbABAbababbbabb", "aaaabAbABAbbbAbAbbAb", "aababAbAbAbAbaaBBabb"}, {"aaaaabbABAbababbbbab", "aaaabAbABAbbbAbAbAbb", "aaabbAbAbAbAbaaBBabb"}, {"aaaaabbABAbabbababbb", "aaaabAbABAbbAbbbAbAb", "aabbaBaBaBaBabbAAbab"}, {"aaaaabbABAbabbabbabb", "aaaabAbABAbbAbbAbbAb", "aabbaBaBaBaBABABABAB"}, {"aaaaabbABAbabbabbbab", "aaaabAbABAbbAbbAbAbb", "aababababaBBAABaBaBB"}, {"aaaaabbABAbabbbababb", "aaaabAbABAbbAbAbbbAb", "aabaBaBaBaBabbAAbabb"}, {"aaaaabbABAbabbbabbab", "aaaabAbABAbbAbAbbAbb", "aababababaBBAABaBBaB"}, {"aaaaabbABAbabbbbabab", "aaaabAbABAbbAbAbAbbb", "aaababababaBBAABaBBB"}, {"aaaaabbABAbbabababbb", "aaaababaBBBBababAbab", "aaabbaBaBaBaBabbAAbb"}, {"aaaaabbABAbbababbabb", "aaaabAbABAbAbbbAbbAb", "aababaBaBaBaBabbAAbb"}, {"aaaaabbABAbbababbbab", "aaaabAbABAbAbbbAbAbb", "aababababaBBAABBaaBB"}, {"aaaaabbABAbbabbababb", "aaaabAbABAbAbbAbbbAb", "aababbabAbAbAbAbaaBB"}, {"aaaaabbABAbbabbabbab", "aaaabAbABAbAbbAbbAbb", "aababababaBBAABBaBaB"}, {"aaaaabbABAbbabbbabab", "aaaabAbABAbAbbAbAbbb", "aaababababaBBAABBaBB"}, {"aaaaabbABAbbbabababb", "aaaabaBBBBababAbabab", "aaabaBaBaBaBabbAAbbb"}, {"aaaaabbABAbbbababbab", "aaaabAbABAbAbAbbbAbb", "aaabbabbAbAbAbAbaaBB"}, {"aaaaabbABAbbbabbabab", "aaaabAbABAbAbAbbAbbb", "aaababababaBBAABBBaB"}, {"aaaaabbABAbbbbababab", "aaaababababaBBAABBBB", "aaaabbbbaBaBABaBaBaB"}, {"aaaaabbABABabababbbb", "aaaabAbABBabbbAbAbAb", "aaabbbaBaBaBaBabbAAB"}, {"aaaaabbABABababbabbb", "aaaabAbABBabbAbbAbAb", "aababbaBaBaBaBabbAAB"}, {"aaaaabbABABababbbabb", "aaaabAbABBabbAbAbbAb", "aababAbAbAbAbaaBBAbb"}, {"aaaaabbABABababbbbab", "aaaabAbABBabbAbAbAbb", "aaabbAbAbAbAbaaBBAbb"}, {"aaaaabbABABabbababbb", "aaaabAbABBabAbbbAbAb", "aabbaBaBaBaBabbAABab"}, {"aaaaabbABABabbabbabb", "aaaabAbABBabAbbAbbAb", "aabbABaBaBaBABABABAB"}, {"aaaaabbABABabbabbbab", "aaaabAbABBabAbbAbAbb", "aababababaBBAAbaBaBB"}, {"aaaaabbABABabbbababb", "aaaabAbABBabAbAbbbAb", "aabaBaBaBaBabbAABabb"}, {"aaaaabbABABabbbabbab", "aaaabAbABBabAbAbbAbb", "aababababaBBAAbaBBaB"}, {"aaaaabbABABabbbbabab", "aaaabAbABBabAbAbAbbb", "aaababababaBBAAbaBBB"}, {"aaaaabbABABAbababbbb", "aaaabAbABBAbbbAbAbAb", "aaabAbAbAbAbaaBBBabb"}, {"aaaaabbABABAbabbabbb", "aaaabAbABBAbbAbbAbAb", "aaabAbAbbABABABABAbb"}, {"aaaaabbABABAbabbbabb", "aaaabAbABBAbbAbAbbAb", "aaabAbbAbABABABABAbb"}, {"aaaaabbABABAbabbbbab", "aaaabAbABBAbbAbAbAbb", "aaabbAbAbAbAbaaBBBab"}, {"aaaaabbABABAbbababbb", "aaaabAbABBAbAbbbAbAb", "aaabbAAbbABABABABAbb"}, {"aaaaabbABABAbbabbabb", "aaaabAbABBAbAbbAbbAb", "aaabbAbAbABABABABAbb"}, {"aaaaabbABABAbbabbbab", "aaaabAbABBAbAbbAbAbb", "aaabbAbbAABABABABAbb"}, {"aaaaabbABABAbbbababb", "aaaabAbABBAbAbAbbbAb", "aaabbabAbAbAbAbaaBBB"}, {"aaaaabbABABAbbbabbab", "aaaabAbABBAbAbAbbAbb", "aaababbAbAbAbAbaaBBB"}, {"aaaaabbABABAbbbbabab", "aaaabbbAbAbAbAbaaBBB", "aaaabAbABBAbAbAbAbbb"}, {"aaaaabbABABABababbbb", "aaaabAbABBBabbAbAbAb", "aaabAbAbAbAbaaBBBAbb"}, {"aaaaabbABABABabbabbb", "aaaabAbABBBabAbbAbAb", "aaabABABBAbAbAbAbABB"}, {"aaaaabbABABABabbbabb", "aaaabAbABBBabAbAbbAb", "aaabABBABAbAbAbAbABB"}, {"aaaaabbABABABabbbbab", "aaaabAbABBBabAbAbAbb", "aaabbAbAbAbAbaaBBBAb"}, {"aaaaabbABABABAbabbbb", "aaaabAbbbABABABABAbb", "aaaabAbABBBAbbAbAbAb"}, {"aaaaabbABABABAbbabbb", "aaaabbAbbABABABABAbb", "aaaabAbABBBAbAbbAbAb"}, {"aaaaabbABABABAbbbabb", "aaaabbbAbABABABABAbb", "aaaabAbABBBAbAbAbbAb"}, {"aaaaabbABABABAbbbbab", "aaaabbbbAABABABABAbb", "aaaabAbABBBAbAbAbAbb"}, {"aaaaabbABABABABabbbb", "aaaabAbABBBBabAbAbAb", "aaaabABBBAbAbAbAbABB"}, {"aaaaabbABABABABBabbb", "aaaababABABAbbbbABAB", "aaaabbABBAbAbAbAbABB"}, {"aaaaabbABABABABBAbbb", "aaaabaBABABAbbbbABAB", "aaaabaBBBAbAbAbAbABB"}, {"aaaaabbABABABABBABBB", "aaaaabAbABBBBaBBaBaB", "aaaababbbAbAbAbAbABB"}, {"aaaaabbABABABABBBabb", "aaaabababABAbbbbABAB", "aaaabbbABAbAbAbAbABB"}, {"aaaaabbABABABABBBAbb", "aaaababaBABAbbbbABAB", "aaaabbaBBAbAbAbAbABB"}, {"aaaaabbABABABABBBABB", "aaaaabAbABBBBaBaBBaB", "aaaabbabbAbAbAbAbABB"}, {"aaaaabbABABABABBBBab", "aaaababababAbbbbABAB", "aaaabbababababAABBBB"}, {"aaaaabbABABABABBBBAb", "aaaabababaBAbbbbABAB", "aaaabbbaBAbAbAbAbABB"}, {"aaaaabbABABABABBBBAB", "aaaaabAbABBBBaBaBaBB", "aaaabbbabAbAbAbAbABB"}, {"aaaaabbABABABBababbb", "aaaabAbABBBaBabbAbAb", "aaabbAABBAbAbAbAbABB"}, {"aaaaabbABABABBabbabb", "aaaabAbABBBaBabAbbAb", "aaabbABABAbAbAbAbABB"}, {"aaaaabbABABABBabbbab", "aaaabAbABBBaBabAbAbb", "aaabbABBAAbAbAbAbABB"}, {"aaaaabbABABABBAbabbb", "aaaabAbABBBaBAbbAbAb", "aaabaBABBAbAbAbAbABB"}, {"aaaaabbABABABBAbbabb", "aaaabAbABBBaBAbAbbAb", "aaabaBBABAbAbAbAbABB"}, {"aaaaabbABABABBAbbbab", "aaaabAbABBBaBAbAbAbb", "aaabaBBBAAbAbAbAbABB"}, {"aaaaabbABABABBABabbb", "aaaabAbABBBaBBabAbAb", "aaababABBAbAbAbAbABB"}, {"aaaaabbABABABBABAbbb", "aaaabAbABBBaBBAbAbAb", "aaabaaBBBAbAbAbAbABB"}, {"aaaaabbABABABBABABBB", "aaaaabAbABBBaBBBaBaB", "aaabaabbbAbAbAbAbABB"}, {"aaaaabbABABABBABBabb", "aaaabAbABBBaBBaBabAb", "aaababbABAbAbAbAbABB"}, {"aaaaabbABABABBABBAbb", "aaaabAbABBBaBBaBAbAb", "aaababaBBAbAbAbAbABB"}, {"aaaaabbABABABBABBABB", "aaaaabAbABBBaBBaBBaB", "aaabababbAbAbAbAbABB"}, {"aaaaabbABABABBABBBab", "aaaabAbABBBaBBaBaBab", "aaababbbAAbAbAbAbABB"}, {"aaaaabbABABABBABBBAb", "aaaabAbABBBaBBaBaBAb", "aaababbaBAbAbAbAbABB"}, {"aaaaabbABABABBABBBAB", "aaaaabAbABBBaBBaBaBB", "aaababbabAbAbAbAbABB"}, {"aaaaabbABABABBBababb", "aaaabAbABBBaBaBabbAb", "aaabbbAABAbAbAbAbABB"}, {"aaaaabbABABABBBabbab", "aaaabAbABBBaBaBabAbb", "aaabbbABAAbAbAbAbABB"}, {"aaaaabbABABABBBAbabb", "aaaabAbABBBaBaBAbbAb", "aaabbaBABAbAbAbAbABB"}, {"aaaaabbABABABBBAbbab", "aaaabAbABBBaBaBAbAbb", "aaabbaBBAAbAbAbAbABB"}, {"aaaaabbABABABBBABabb", "aaaabAbABBBaBaBBabAb", "aaabbabABAbAbAbAbABB"}, {"aaaaabbABABABBBABAbb", "aaaabAbABBBaBaBBAbAb", "aaabbaaBBAbAbAbAbABB"}, {"aaaaabbABABABBBABABB", "aaaaabAbABBBaBaBBBaB", "aaabbaabbAbAbAbAbABB"}, {"aaaaabbABABABBBABBab", "aaaabAbABBBaBaBBaBab", "aaabbabbAAbAbAbAbABB"}, {"aaaaabbABABABBBABBAb", "aaaabAbABBBaBaBBaBAb", "aaabbabaBAbAbAbAbABB"}, {"aaaaabbABABABBBABBAB", "aaaaabAbABBBaBaBBaBB", "aaabbababAbAbAbAbABB"}, {"aaaaabbABABABBBBabab", "aaaabbbababababAABBB", "aaaabAbABBBaBaBaBabb"}, {"aaaaabbABABABBBBAbab", "aaaabAbABBBaBaBaBAbb", "aaabbbaBAAbAbAbAbABB"}, {"aaaaabbABABABBBBABab", "aaaabAbABBBaBaBaBBab", "aaabaBBaBaBaBaBAAbbb"}, {"aaaaabbABABABBBBABAb", "aaaabAbABBBaBaBaBBAb", "aaabbbaaBAbAbAbAbABB"}, {"aaaaabbABABABBBBABAB", "aaaaabAbABBBaBaBaBBB", "aaabbaBaBaBaBaBAAbbb"}, {"aaaaabbABABBabababbb", "aaaabAbABBaBabbbAbAb", "aaabbaBaBaBaBabbAABB"}, {"aaaaabbABABBababbabb", "aaaabAbABBaBabbAbbAb", "aababaBaBaBaBabbAABB"}, {"aaaaabbABABBababbbab", "aaaabAbABBaBabbAbAbb", "aababababaBBAAbbaaBB"}, {"aaaaabbABABBabbababb", "aaaabAbABBaBabAbbbAb", "aabaBaBaBaBabbAABBab"}, {"aaaaabbABABBabbabbab", "aaaabAbABBaBabAbbAbb", "aababababaBBAAbbaBaB"}, {"aaaaabbABABBabbbabab", "aaaabAbABBaBabAbAbbb", "aaababababaBBAAbbaBB"}, {"aaaaabbABABBAbababbb", "aaaabAbABBaBAbbbAbAb", "aabaBAABBAbAbAbAbABB"}, {"aaaaabbABABBAbabbabb", "aaaabAbABBaBAbbAbbAb", "aabaBABABAbAbAbAbABB"}, {"aaaaabbABABBAbabbbab", "aaaabAbABBaBAbbAbAbb", "aababababaBBAAbABaBB"}, {"aaaaabbABABBAbbababb", "aaaabAbABBaBAbAbbbAb", "aabaBaBaBaBabbAABAbb"}, {"aaaaabbABABBAbbabbab", "aaaabAbABBaBAbAbbAbb", "aababababaBBAAbABBaB"}, {"aaaaabbABABBAbbbabab", "aaaabAbABBaBAbAbAbbb", "aaababababaBBAAbABBB"}, {"aaaaabbABABBABababbb", "aaaabAbABBaBBabbAbAb", "aababAABBAbAbAbAbABB"}, {"aaaaabbABABBABabbabb", "aaaabAbABBaBBabAbbAb", "aababABABAbAbAbAbABB"}, {"aaaaabbABABBABabbbab", "aaaabAbABBaBBabAbAbb", "aababababaBBAAbAbaBB"}, {"aaaaabbABABBABAbabbb", "aaaabAbABBaBBAbbAbAb", "aabaaBABBAbAbAbAbABB"}, {"aaaaabbABABBABAbbabb", "aaaabAbABBaBBAbAbbAb", "aabaaBBABAbAbAbAbABB"}, {"aaaaabbABABBABAbbbab", "aaaabAbABBaBBAbAbAbb", "aaabbAbAbAbAbaaBBABB"}, {"aaaaabbABABBABABabbb", "aaaabAbABBaBBBabAbAb", "aabaabABBAbAbAbAbABB"}, {"aaaaabbABABBABABAbbb", "aaaabAbABBaBBBAbAbAb", "aaabbbABABABABAbbaaB"}, {"aaaaabbABABBABABABBB", "aaaaabAbABBaBBBBaBaB", "aaabababababAABBaBBB"}, {"aaaaabbABABBABABBabb", "aaaabAbABBaBBBaBabAb", "aabaabbABAbAbAbAbABB"}, {"aaaaabbABABBABABBAbb", "aaaabAbABBaBBBaBAbAb", "aabaabaBBAbAbAbAbABB"}, {"aaaaabbABABBABABBABB", "aaaaabAbABBaBBBaBBaB", "aabaababbAbAbAbAbABB"}, {"aaaaabbABABBABABBBab", "aaaabAbABBaBBBaBaBab", "aaabbababababAABBaBB"}, {"aaaaabbABABBABABBBAb", "aaaabAbABBaBBBaBaBAb", "aabaabbaBAbAbAbAbABB"}, {"aaaaabbABABBABABBBAB", "aaaaabAbABBaBBBaBaBB", "aabaabbabAbAbAbAbABB"}, {"aaaaabbABABBABBababb", "aaaabAbABBaBBaBabbAb", "aababbAABAbAbAbAbABB"}, {"aaaaabbABABBABBabbab", "aaaabAbABBaBBaBabAbb", "aababababaBBAAbAbbaB"}, {"aaaaabbABABBABBAbabb", "aaaabAbABBaBBaBAbbAb", "aababaBABAbAbAbAbABB"}, {"aaaaabbABABBABBAbbab", "aaaabAbABBaBBaBAbAbb", "aababababaBBAAbAbABB"}, {"aaaaabbABABBABBABabb", "aaaabAbABBaBBaBBabAb", "aabababABAbAbAbAbABB"}, {"aaaaabbABABBABBABAbb", "aaaabAbABBaBBaBBAbAb", "aababaaBBAbAbAbAbABB"}, {"aaaaabbABABBABBABABB", "aaaaabAbABBaBBaBBBaB", "aababaabbAbAbAbAbABB"}, {"aaaaabbABABBABBABBab", "aaaabAbABBaBBaBBaBab", "aababababaBBAAbAbAbb"}, {"aaaaabbABABBABBABBAb", "aaaabAbABBaBBaBBaBAb", "aabababaBAbAbAbAbABB"}, {"aaaaabbABABBABBABBAB", "aaaaabAbABBaBBaBBaBB", "aababababAbAbAbAbABB"}, {"aaaaabbABABBABBBabab", "aaaabAbABBaBBaBaBabb", "aaababababaBBAAbAbbb"}, {"aaaaabbABABBABBBAbab", "aaaabAbABBaBBaBaBAbb", "aababababaBBAAbAbbAB"}, {"aaaaabbABABBABBBABab", "aaaabAbABBaBBaBaBBab", "aababababaBBAAbAbbAb"}, {"aaaaabbABABBABBBABAb", "aaaabAbABBaBBaBaBBAb", "aababbaaBAbAbAbAbABB"}, {"aaaaabbABABBABBBABAB", "aaaaabAbABBaBBaBaBBB", "aababbaabAbAbAbAbABB"}, {"aaaaabbABABBBabababb", "aaaabAbABBaBaBabbbAb", "aaabaBaBaBaBabbAABBB"}, {"aaaaabbABABBBababbab", "aaaabAbABBaBaBabbAbb", "aaabbAbbababababAABB"}, {"aaaaabbABABBBabbabab", "aaaabAbABBaBaBabAbbb", "aaababababaBBAAbbbaB"}, {"aaaaabbABABBBAbababb", "aaaabAbABBaBaBAbbbAb", "aabaBaBaBaBabbAABBAb"}, {"aaaaabbABABBBAbabbab", "aaaabAbABBaBaBAbbAbb", "aababababaBBAAbbABaB"}, {"aaaaabbABABBBAbbabab", "aaaabAbABBaBaBAbAbbb", "aaababababaBBAAbbABB"}, {"aaaaabbABABBBABababb", "aaaabAbABBaBaBBabbAb", "aabaBaBaBaBabbAABBAB"}, {"aaaaabbABABBBABabbab", "aaaabAbABBaBaBBabAbb", "aababababaBBAAbbAbaB"}, {"aaaaabbABABBBABAbabb", "aaaabAbABBaBaBBAbbAb", "aabbaaBABAbAbAbAbABB"}, {"aaaaabbABABBBABAbbab", "aaaabAbABBaBaBBAbAbb", "aababababaBBAAbbAABB"}, {"aaaaabbABABBBABABabb", "aaaabAbABBaBaBBBabAb", "aabbaabABAbAbAbAbABB"}, {"aaaaabbABABBBABABAbb", "aaaabAbABBaBaBBBAbAb", "aaabbABABABABAbbaaBB"}, {"aaaaabbABABBBABABABB", "aaaaabAbABBaBaBBBBaB", "aaabbAbAbAbAbABBaabb"}, {"aaaaabbABABBBABABBab", "aaaabAbABBaBaBBBaBab", "aababababaBBAAbbAAbb"}, {"aaaaabbABABBBABABBAb", "aaaabAbABBaBaBBBaBAb", "aabaBAbAbAbAbABBaabb"}, {"aaaaabbABABBBABABBAB", "aaaaabAbABBaBaBBBaBB", "aababAbAbAbAbABBaabb"}, {"aaaaabbABABBBABBabab", "aaaabAbABBaBaBBaBabb", "aaababababaBBAAbbAbb"}, {"aaaaabbABABBBABBAbab", "aaaabAbABBaBaBBaBAbb", "aababababaBBAAbbAbAB"}, {"aaaaabbABABBBABBABab", "aaaabAbABBaBaBBaBBab", "aababababaBBAAbbAbAb"}, {"aaaaabbABABBBABBABAb", "aaaabAbABBaBaBBaBBAb", "aababbABaBaBaBaBAAbb"}, {"aaaaabbABABBBABBABAB", "aaaaabAbABBaBaBBaBBB", "aababbaBaBaBaBaBAAbb"}, {"aaaaabbABABBBBababab", "aaaababababaBBAAbbbb", "aaaabAbABBaBaBaBabbb"}, {"aaaaabbABABBBBAbabab", "aaaabAbABBaBaBaBAbbb", "aaababababaBBAAbbbAB"}, {"aaaaabbABABBBBABabab", "aaaabAbABBaBaBaBBabb", "aaababababaBBAAbbbAb"}, {"aaaaabbABABBBBABAbab", "aaaabAbABBaBaBaBBAbb", "aaabbABBaBaBaBaBAAbb"}, {"aaaaabbABABBBBABABab", "aaaabAbABBaBaBaBBBab", "aaabbaBBaBaBaBaBAAbb"}, {"aaaaabbABABBBBABABAb", "aaaabAbABBaBaBaBBBAb", "aaabbbABaBaBaBaBAAbb"}, {"aaaaabbABABBBBABABAB", "aaaaabAbABBaBaBaBBBB", "aaabbbaBaBaBaBaBAAbb"}, {"aaaaabbABBababababbb", "aaaababaBBBBababABAB", "aaaabbaBaBaBaBabbABB"}, {"aaaaabbABBabababbabb", "aaaabAbABaBabbbAbbAb", "aaababaBaBaBaBabbABB"}, {"aaaaabbABBabababbbab", "aaaabAbABaBabbbAbAbb", "aaabbaaBaBaBaBabbABB"}, {"aaaaabbABBababbababb", "aaaabAbABaBabbAbbbAb", "aabaabaBaBaBaBabbABB"}, {"aaaaabbABBababbabbab", "aaaabAbABaBabbAbbAbb", "aababaaBaBaBaBabbABB"}, {"aaaaabbABBababbbabab", "aaaabAbABaBabbAbAbbb", "aaababababaBBAbbaaBB"}, {"aaaaabbABBabbabababb", "aaaabaBBBBababABABab", "aaabaBaBaBaBabbABBab"}, {"aaaaabbABBabbababbab", "aaaabAbABaBabAbbbAbb", "aabaaBaBaBaBabbABBab"}, {"aaaaabbABBabbabbabab", "aaaabAbABaBabAbbAbbb", "aaababababaBBAbbaBaB"}, {"aaaaabbABBabbbababab", "aaaababababaBBAbbaBB", "aaaabbbbaBaBAbAbaBaB"}, {"aaaaabbABBAbabababbb", "aaaababaBBBBababABAb", "aaabbaBaBaBaBabbABAb"}, {"aaaaabbABBAbababbabb", "aaaabAbABaBAbbbAbbAb", "aababaBaBaBaBabbABAb"}, {"aaaaabbABBAbababbbab", "aaaabAbABaBAbbbAbAbb", "aababababaBBAbABaaBB"}, {"aaaaabbABBAbabbababb", "aaaabAbABaBAbbAbbbAb", "aabaBaBaBaBabbABAbab"}, {"aaaaabbABBAbabbabbab", "aaaabAbABaBAbbAbbAbb", "aababababaBBAbABaBaB"}, {"aaaaabbABBAbabbbabab", "aaaabAbABaBAbbAbAbbb", "aaababababaBBAbABaBB"}, {"aaaaabbABBAbbabababb", "aaaabaBBBBababABAbab", "aaabaBaBaBaBabbABAbb"}, {"aaaaabbABBAbbababbab", "aaaabAbABaBAbAbbbAbb", "aabaaBaBaBaBabbABAbb"}, {"aaaaabbABBAbbabbabab", "aaaabAbABaBAbAbbAbbb", "aaababababaBBAbABBaB"}, {"aaaaabbABBAbbbababab", "aaaababababaBBAbABBB", "aaaabbbbaBaBAbABaBaB"}, {"aaaaabbABBABabababbb", "aaaabAbABaBBabbbAbAb", "aaabbaBaBaBaBabbABAB"}, {"aaaaabbABBABababbabb", "aaaabAbABaBBabbAbbAb", "aababaBaBaBaBabbABAB"}, {"aaaaabbABBABababbbab", "aaaabAbABaBBabbAbAbb", "aababababaBBAbAbaaBB"}, {"aaaaabbABBABabbababb", "aaaabAbABaBBabAbbbAb", "aabaBaBaBaBabbABABab"}, {"aaaaabbABBABabbabbab", "aaaabAbABaBBabAbbAbb", "aababababaBBAbAbaBaB"}, {"aaaaabbABBABabbbabab", "aaaabAbABaBBabAbAbbb", "aaababababaBBAbAbaBB"}, {"aaaaabbABBABAbababbb", "aaaabAbABaBBAbbbAbAb", "aabbaBaBaBaBabbABAAb"}, {"aaaaabbABBABAbabbabb", "aaaabAbABaBBAbbAbbAb", "aabAbbaBaBaBABABABAB"}, {"aaaaabbABBABAbabbbab", "aaaabAbABaBBAbbAbAbb", "aababababaBBAbAABaBB"}, {"aaaaabbABBABAbbababb", "aaaabAbABaBBAbAbbbAb", "aabaBaBaBaBabbABAAbb"}, {"aaaaabbABBABAbbabbab", "aaaabAbABaBBAbAbbAbb", "aababababaBBAbAABBaB"}, {"aaaaabbABBABAbbbabab", "aaaabAbABaBBAbAbAbbb", "aaababababaBBAbAABBB"}, {"aaaaabbABBABABababbb", "aaaabAbABaBBBabbAbAb", "aabbaBaBaBaBabbABAAB"}, {"aaaaabbABBABABabbabb", "aaaabAbABaBBBabAbbAb", "aabAbbABaBaBABABABAB"}, {"aaaaabbABBABABabbbab", "aaaabAbABaBBBabAbAbb", "aababababaBBAbAAbaBB"}, {"aaaaabbABBABABAbabbb", "aaaabAbABaBBBAbbAbAb", "aaabAbbABABABABAbbaB"}, {"aaaaabbABBABABAbbabb", "aaaabAbABaBBBAbAbbAb", "aaabbAbABABABABAbbaB"}, {"aaaaabbABBABABAbbbab", "aaaabAbABaBBBAbAbAbb", "aaabbbAABABABABAbbaB"}, {"aaaaabbABBABABABabbb", "aaaabAbABaBBBBabAbAb", "aaabABBAbAbAbAbABBab"}, {"aaaaabbABBABABABAbbb", "aaaabbbABABABABAbbaB", "aaaabAbAbABBBBAbAbaB"}, {"aaaaabbABBABABABBabb", "aaaababABAbbbbABABab", "aaabbABAbAbAbAbABBab"}, {"aaaaabbABBABABABBAbb", "aaaabaBABAbbbbABABab", "aaabaBBAbAbAbAbABBab"}, {"aaaaabbABBABABABBABB", "aaaaabAbABaBBBBaBBaB", "aaababbAbAbAbAbABBab"}, {"aaaaabbABBABABABBBab", "aaaabababAbbbbABABab", "aaabbababababAABaBBB"}, {"aaaaabbABBABABABBBAb", "aaaababaBAbbbbABABab", "aaabbaBAbAbAbAbABBab"}, {"aaaaabbABBABABABBBAB", "aaaaabAbABaBBBBaBaBB", "aaabbabAbAbAbAbABBab"}, {"aaaaabbABBABABBababb", "aaaabAbABaBBBaBabbAb", "aabaBaBaBaBabbABAABB"}, {"aaaaabbABBABABBabbab", "aaaabAbABaBBBaBabAbb", "aababababaBBAbAAbbaB"}, {"aaaaabbABBABABBAbabb", "aaaabAbABaBBBaBAbbAb", "aabaBABAbAbAbAbABBab"}, {"aaaaabbABBABABBAbbab", "aaaabAbABaBBBaBAbAbb", "aababababaBBAbAAbABB"}, {"aaaaabbABBABABBABabb", "aaaabAbABaBBBaBBabAb", "aababABAbAbAbAbABBab"}, {"aaaaabbABBABABBABAbb", "aaaabAbABaBBBaBBAbAb", "aabaaBBAbAbAbAbABBab"}, {"aaaaabbABBABABBABABB", "aaaaabAbABaBBBaBBBaB", "aabaabbAbAbAbAbABBab"}, {"aaaaabbABBABABBABBab", "aaaabAbABaBBBaBBaBab", "aababababaBBAbAAbAbb"}, {"aaaaabbABBABABBABBAb", "aaaabAbABaBBBaBBaBAb", "aababaBAbAbAbAbABBab"}, {"aaaaabbABBABABBABBAB", "aaaaabAbABaBBBaBBaBB", "aabababAbAbAbAbABBab"}, {"aaaaabbABBABABBBabab", "aaaabAbABaBBBaBaBabb", "aaababababaBBAbAAbbb"}, {"aaaaabbABBABABBBAbab", "aaaabAbABaBBBaBaBAbb", "aababababaBBAbAAbbAB"}, {"aaaaabbABBABABBBABab", "aaaabAbABaBBBaBaBBab", "aababababaBBAbAAbbAb"}, {"aaaaabbABBABABBBABAb", "aaaabAbABaBBBaBaBBAb", "aabbaaBAbAbAbAbABBab"}, {"aaaaabbABBABABBBABAB", "aaaaabAbABaBBBaBaBBB", "aabbaabAbAbAbAbABBab"}, {"aaaaabbABBABBabababb", "aaaabAbABaBBaBabbbAb", "aaabaBaBaBaBabbABABB"}, {"aaaaabbABBABBababbab", "aaaabAbABaBBaBabbAbb", "aabaaBaBaBaBabbABABB"}, {"aaaaabbABBABBabbabab", "aaaabAbABaBBaBabAbbb", "aaababababaBBAbAbbaB"}, {"aaaaabbABBABBAbababb", "aaaabAbABaBBaBAbbbAb", "aabaBaBaBaBabbABABAb"}, {"aaaaabbABBABBAbabbab", "aaaabAbABaBBaBAbbAbb", "aababababaBBAbAbABaB"}, {"aaaaabbABBABBAbbabab", "aaaabAbABaBBaBAbAbbb", "aaababababaBBAbAbABB"}, {"aaaaabbABBABBABababb", "aaaabAbABaBBaBBabbAb", "aabaBaBaBaBabbABABAB"}, {"aaaaabbABBABBABabbab", "aaaabAbABaBBaBBabAbb", "aababababaBBAbAbAbaB"}, {"aaaaabbABBABBABAbabb", "aaaabAbABaBBaBBAbbAb", "aabAbAbbaBaBABABABAB"}, {"aaaaabbABBABBABAbbab", "aaaabAbABaBBaBBAbAbb", "aababababaBBAbAbAABB"}, {"aaaaabbABBABBABABabb", "aaaabAbABaBBaBBBabAb", "aabAbAbbABaBABABABAB"}, {"aaaaabbABBABBABABAbb", "aaaabAbABaBBaBBBAbAb", "aaabbABABABABAbbaBaB"}, {"aaaaabbABBABBABABABB", "aaaaabAbABaBBaBBBBaB", "aaabbAbAbAbAbABBabab"}, {"aaaaabbABBABBABABBab", "aaaabAbABaBBaBBBaBab", "aababababaBBAbAbAAbb"}, {"aaaaabbABBABBABABBAb", "aaaabAbABaBBaBBBaBAb", "aabaBAbAbAbAbABBabab"}, {"aaaaabbABBABBABABBAB", "aaaaabAbABaBBaBBBaBB", "aababAbAbAbAbABBabab"}, {"aaaaabbABBABBABBabab", "aaaabAbABaBBaBBaBabb", "aaababababaBBAbAbAbb"}, {"aaaaabbABBABBABBAbab", "aaaabAbABaBBaBBaBAbb", "aababababaBBAbAbAbAB"}, {"aaaaabbABBABBABBABab", "aaaabAbABaBBaBBaBBab", "aababababaBBAbAbAbAb"}, {"aaaaabbABBABBABBABAb", "aaaabAbABaBBaBBaBBAb", "aabAbAbAbbaBABABABAB"}, {"aaaaabbABBABBABBABAB", "aaaaabAbABaBBaBBaBBB", "aabAbAbAbbABABABABAB"}, {"aaaaabbABBABBBababab", "aaaababababaBBAbAbbb", "aaaabAbABaBBaBaBabbb"}, {"aaaaabbABBABBBAbabab", "aaaabAbABaBBaBaBAbbb", "aaababababaBBAbAbbAB"}, {"aaaaabbABBABBBABabab", "aaaabAbABaBBaBaBBabb", "aaababababaBBAbAbbAb"}, {"aaaaabbABBABBBABAbab", "aaaabAbABaBBaBaBBAbb", "aababababaBBAbAbbAAB"}, {"aaaaabbABBABBBABABab", "aaaabAbABaBBaBaBBBab", "aababababaBBAbAbbAAb"}, {"aaaaabbABBABBBABABAb", "aaaabAbABaBBaBaBBBAb", "aaabABABABABAbbaBaBB"}, {"aaaaabbABBABBBABABAB", "aaaaabAbABaBBaBaBBBB", "aaabAbAbAbAbABBababb"}, {"aaaaabbABBBababababb", "aaaabaBaBaBaBabbABBB", "aaaabaBBBBababABABAB"}, {"aaaaabbABBBabababbab", "aaaabAbABaBaBabbbAbb", "aaabaaBaBaBaBabbABBB"}, {"aaaaabbABBBababbabab", "aaaabAbABaBaBabbAbbb", "aaababababaBBAbbbaaB"}, {"aaaaabbABBBabbababab", "aaaababababaBBAbbbaB", "aaaabbbbaBaBAbAbAbaB"}, {"aaaaabbABBBAbabababb", "aaaabaBBBBababABABAb", "aaabaBaBaBaBabbABBAb"}, {"aaaaabbABBBAbababbab", "aaaabAbABaBaBAbbbAbb", "aabaaBaBaBaBabbABBAb"}, {"aaaaabbABBBAbabbabab", "aaaabAbABaBaBAbbAbbb", "aaababababaBBAbbABaB"}, {"aaaaabbABBBAbbababab", "aaaababababaBBAbbABB", "aaaabbbbaBaBAbAbABaB"}, {"aaaaabbABBBABabababb", "aaaabAbABaBaBBabbbAb", "aaabaBaBaBaBabbABBAB"}, {"aaaaabbABBBABababbab", "aaaabAbABaBaBBabbAbb", "aabaaBaBaBaBabbABBAB"}, {"aaaaabbABBBABabbabab", "aaaabAbABaBaBBabAbbb", "aaababababaBBAbbAbaB"}, {"aaaaabbABBBABAbababb", "aaaabAbABaBaBBAbbbAb", "aabaBaBaBaBabbABBAAb"}, {"aaaaabbABBBABAbabbab", "aaaabAbABaBaBBAbbAbb", "aababababaBBAbbAABaB"}, {"aaaaabbABBBABAbbabab", "aaaabAbABaBaBBAbAbbb", "aaababababaBBAbbAABB"}, {"aaaaabbABBBABABababb", "aaaabAbABaBaBBBabbAb", "aabaBaBaBaBabbABBAAB"}, {"aaaaabbABBBABABabbab", "aaaabAbABaBaBBBabAbb", "aababababaBBAbbAAbaB"}, {"aaaaabbABBBABABAbabb", "aaaabAbABaBaBBBAbbAb", "aaabAbABABABABAbbaBB"}, {"aaaaabbABBBABABAbbab", "aaaabAbABaBaBBBAbAbb", "aaabbAABABABABAbbaBB"}, {"aaaaabbABBBABABABabb", "aaaabAbABaBaBBBBabAb", "aaabABAbAbAbAbABBabb"}, {"aaaaabbABBBABABABAbb", "aaaabbABABABABAbbaBB", "aaaabAbABaBaBBBBAbAb"}, {"aaaaabbABBBABABABBab", "aaaababAbbbbABABabab", "aaabbAAbAbAbAbABBabb"}, {"aaaaabbABBBABABABBAb", "aaaabaBAbbbbABABabab", "aaabaBAbAbAbAbABBabb"}, {"aaaaabbABBBABABABBAB", "aaaaabAbABaBaBBBBaBB", "aaababAbAbAbAbABBabb"}, {"aaaaabbABBBABABBabab", "aaaabAbABaBaBBBaBabb", "aaababababaBBAbbAAbb"}, {"aaaaabbABBBABABBAbab", "aaaabAbABaBaBBBaBAbb", "aababababaBBAbbAAbAB"}, {"aaaaabbABBBABABBABab", "aaaabAbABaBaBBBaBBab", "aababababaBBAbbAAbAb"}, {"aaaaabbABBBABABBABAb", "aaaabAbABaBaBBBaBBAb", "aabaaBAbAbAbAbABBabb"}, {"aaaaabbABBBABABBABAB", "aaaaabAbABaBaBBBaBBB", "aabaabAbAbAbAbABBabb"}, {"aaaaabbABBBABBababab", "aaaababababaBBAbbAbb", "aaaabAbABaBaBBaBabbb"}, {"aaaaabbABBBABBAbabab", "aaaabAbABaBaBBaBAbbb", "aaababababaBBAbbAbAB"}, {"aaaaabbABBBABBABabab", "aaaabAbABaBaBBaBBabb", "aaababababaBBAbbAbAb"}, {"aaaaabbABBBABBABAbab", "aaaabAbABaBaBBaBBAbb", "aababababaBBAbbAbAAB"}, {"aaaaabbABBBABBABABab", "aaaabAbABaBaBBaBBBab", "aababababaBBAbbAbAAb"}, {"aaaaabbABBBABBABABAb", "aaaabAbABaBaBBaBBBAb", "aaabABABABABAbbaBBaB"}, {"aaaaabbABBBABBABABAB", "aaaaabAbABaBaBBaBBBB", "aaabAbAbAbAbABBabbab"}, {"aaaaabbABBBBAbababab", "aaaababababaBBAbbbAB", "aaaabbbbaBaBAbAbAbAB"}, {"aaaaabbABBBBABababa