1000
acdccadadcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbbadacbbddaccccbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbabdabbbbdbdcbcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdcdabbbbdbccbcbcccbb
acdccaddddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdadaabbddabcccbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbaddadbbcdcccccbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbdadaabbddadcccbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbcbdadbbadbacdcbcccbb
acdccadcdabadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbacdabbbddcdcbcbcccbb
acdccadbdcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbbcdaabbcdaacbcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbdbdadbbddcbcccbcccbb
acdccaddddbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbaadaabbbdcacbcbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbbadaabbadbbcccbcccbb
acdccadddbbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbaddaabbddbbcbcbcccbb
acdccadbdbbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbaadabbbcdbccdcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbdcdaabbddaacccbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbaddaabbcdbccbcbcccbb
acdccadbddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbddaabbbdddcccbcccbb
acdccadadabadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbaddadbbddaacbcbcccbb
acdccadadbbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbcadacbbbddacacbcccbb
acdccadddbbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbaadabbbddbacacbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbcddabbbbdbacccbcccbb
acdccadbdcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbcddabbbadbacccbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbcddadbbadbbcccbcccbb
acdccadbddbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbbcdaabbadcccdcbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcbdaabbddbacacbcccbb
acdccadadcbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbcadacbbdddbcccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbccdadbbddadcbcbcccbb
acdccadadcbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbaddacbbddaccdcbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbaddadbbcddacbcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaddacbbddcccacbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbbddacbbadaccacbcccbb
acdccadbdcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbdadadbbcdcccbcbcccbb
acdccadbdabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbaadadbbbdcbcccbcccbb
acdccadddbbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbbddaabbcdbacacbcccbb
acdccadadbbadcdbdaaadacbcdcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbaddacbbcdcacbcbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdbdacbbbdbccacbcccbb
acdccadddbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdadadbbaddccbcbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbcadacbbcdcccdcbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbaddacbbddaacdcbcccbb
acdccadddbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbabdaabbadbdcbcbcccbb
acdccadcdcbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbaadaabbcdbbcacbcccbb
acdccadbdcbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbcadabbbddcacdcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbacdaabbbddacccbcccbb
acdccadadabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbaddaabbcdaccbcbcccbb
acdccaddddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbbbdacbbbdabcbcbcccbb
acdccadbdcbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbabdacbbbdbccacbcccbb
acdccadcdabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddadbbcdabcbcbcccbb
acdccadcdabadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbbadacbbddaccdcbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbabdabbbcdbdcdcbcccbb
acdccadddabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbaadadbbddaacccbcccbb
acdccadbdabadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcadacbbadcccdcbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbdadaabbadadcdcbcccbb
acdccadcdbbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbacdaabbdddbcacbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbabdacbbcdcdcacbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdcdabbbdddacccbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbcbdadbbbdcccacbcccbb
acdccadddbbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbaadadbbdddacbcbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbcddabbbbdcbcbcbcccbb
acdccadcdbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbabdacbbadaacdcbcccbb
acdccadddcbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcbdacbbddcacacbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbaddabbbddcbcacbcccbb
acdccaddddbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdadaabbbdcacdcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbabdaabbadcbcbcbcccbb
acdccadcdcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaadadbbcdddcbcbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbabdabbbadcccacbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbdadaabbbdbacdcbcccbb
acdccadddcbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbaadacbbcdaacccbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbdbdacbbbdddcdcbcccbb
acdccadbdcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbbadaabbddbccccbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbacdabbbbdcbcbcbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbaadaabbadaacacbcccbb
acdccadadbbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbabdadbbcdbacdcbcccbb
acdccadbdabadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbcadacbbddcccacbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbacdaabbaddccccbcccbb
acdccaddddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdcdaabbddadcbcbcccbb
acdccadddcbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbccdabbbddddcdcbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcadadbbddddcbcbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbcddaabbadcbcccbcccbb
acdccadddcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdbdacbbadcbcbcbcccbb
acdccadadcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbcddacbbddddcdcbcccbb
acdccadbdabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdbdadbbcdbccccbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaddacbbddbacccbcccbb
acdccadddabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbcadaabbddcacbcbcccbb
acdccadddcbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbaddabbbddbbcccbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbacdacbbbdadcccbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbacdaabbddaccacbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaabdcabaaabbaadabbbbddccbcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbacdaabbcdaacacbcccbb
acdccadcddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbabdadbbdddccccbcccbb
acdccadcdcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbcbdabbbcddacacbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbdadacbbadbacccbcccbb
acdccadcdbbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbacdadbbadcacacbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbabdacbbadcccccbcccbb
acdccadcddbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbccdadbbadaccdcbcccbb
acdccadadcbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdcdacbbbddbcdcbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdadaabbaddacccbcccbb
acdccadbdbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbcddaabbcdcdcbcbcccbb
acdccadaddbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbbadacbbadcacbcbcccbb
acdccadadbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbaadabbbadabcdcbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbcadadbbcdbccccbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbacdadbbddabcdcbcccbb
acdccadbdabadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdbdadbbadbacbcbcccbb
acdccadbdcbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbbadadbbbdcdcbcbcccbb
acdccadadcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbccdaabbddaccbcbcccbb
acdccadaddbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbacdabbbddbccdcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbcadacbbddddcacbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbaadaabbbdcdcdcbcccbb
acdccadaddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbdddaabbbdcccbcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbcadacbbddaccacbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbbadacbbcdcacbcbcccbb
acdccadddbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbbcdacbbadbbcbcbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbdbdacbbadbdcacbcccbb
acdccadcdbbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdadabbbddcbcccbcccbb
acdccadbddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdddacbbbdbccacbcccbb
acdccadcdcbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbaddacbbcdcacbcbcccbb
acdccadaddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdddadbbcdbbcacbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbcbdabbbbdabcacbcccbb
acdccadddabadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbadaabbcdbacdcbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbcdabbbadaccbcbcccbb
acdccadadabadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbdadacbbaddccdcbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbabdaabbdddbcccbcccbb
acdccadcdcbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbaadadbbddbbcdcbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbaadabbbbdaacacbcccbb
acdccadbdbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbbcdadbbadbccccbcccbb
acdccadbdabadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbadabbbbddacdcbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbbadadbbddbbcbcbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcddacbbddcbcdcbcccbb
acdccadadbbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbacdacbbddaccdcbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbdadacbbbddacbcbcccbb
acdccadcdbbadcdbdaaadacbcdcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbdbdacbbbdbbcacbcccbb
acdccadddabadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbdadaabbddcccbcbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdbdaabbddddcccbcccbb
acdccadbdabadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbaadacbbadcacccbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbacdadbbbdcdcdcbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdadabbbcdcdcacbcccbb
acdccaddddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbacdaabbbdcccdcbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbacdaabbcdbdcccbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbacdacbbcdbdcccbcccbb
acdccadbdabadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbccdacbbbdbacccbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbdadacbbcdbdcdcbcccbb
acdccadbdbbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcbdaabbcddacbcbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbaadaabbbdbdcdcbcccbb
acdccadadcbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbaadacbbbdaacacbcccbb
acdccaddddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbaddaabbbdcbcbcbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbcddacbbddabcccbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbabdaabbcdbccccbcccbb
acdccadddbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbbadadbbddadcbcbcccbb
acdccaddddbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdcdabbbcdbacacbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdcdabbbbdbbcdcbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbabdaabbadbbcacbcccbb
acdccadcddbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbbdabbbbdbacbcbcccbb
acdccadcdbbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbbbdaabbadbacbcbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbcddacbbcdcbcbcbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbbadaabbcdddcbcbcccbb
acdccadadcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaddacbbcddacccbcccbb
acdccadddcbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbcadabbbddbacbcbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbdbdacbbddaacbcbcccbb
acdccadbdcbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdbdaabbadaacbcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbbdacbbddbdcacbcccbb
acdccadbdabadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbbadaabbbdbdcbcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbaadadbbbdcacccbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdddabbbcddacacbcccbb
acdccadbddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbdddabbbaddacbcbcccbb
acdccadaddbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbcadaabbddddcccbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbcbdabbbcdbacbcbcccbb
acdccadcddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcadadbbadbbcccbcccbb
acdccadddabadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdadadbbbdbbcdcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbabdacbbbdbdcdcbcccbb
acdccadbdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbcbdacbbbdbdcccbcccbb
acdccadadabadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbccdadbbbdbbcdcbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbbadaabbddcacacbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbdadabbbdddacbcbcccbb
acdccadcdabadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaadacbbcdadcbcbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbaddacbbcdabcdcbcccbb
acdccadcddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaddaabbdddccacbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbdadacbbadddcbcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbbcdabbbddcacacbcccbb
acdccadcdbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcadacbbddcccccbcccbb
acdccadbddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbbadaabbadbccccbcccbb
acdccadaddbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbaadabbbadcacacbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbabdaabbbdaacccbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbcbdacbbddcacccbcccbb
acdccadbdcbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbaddacbbddabcccbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbaadabbbadddcacbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbabdaabbdddccccbcccbb
acdccadcdcbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbcddadbbcdadcbcbcccbb
acdccadbdabadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbacdaabbcdcccccbcccbb
acdccadddcbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbcadadbbddbccacbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbaadadbbadbdcdcbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbbcdacbbadbbcdcbcccbb
acdccadadabadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbaadabbbadcdcbcbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbbdaabbaddacacbcccbb
acdccadddcbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbdddadbbddcacbcbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbdbdadbbadbccbcbcccbb
acdccadadabadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbaadabbbdddacccbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbdadaabbcdcdcccbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbdbdacbbcdbdcccbcccbb
acdccadddabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdbdadbbddbccbcbcccbb
acdccadadbbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbdadaabbbdbbcdcbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbaadaabbbddccbcbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbccdacbbcdcacbcbcccbb
acdccadddabadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbbddadbbdddbcbcbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbbddacbbadaccccbcccbb
acdccadadcbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdadadbbddcbcbcbcccbb
acdccadddbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbbdabbbadbdcacbcccbb
acdccadbdbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbccdacbbadbdcacbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbdadacbbbdaccccbcccbb
acdccadadcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdadabbbddaacccbcccbb
acdccadbdcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbccdaabbcdbdcbcbcccbb
acdccadbdabadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbbadaabbddadcccbcccbb
acdccadbdcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbaddaabbadbacdcbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbabdabbbddddcacbcccbb
acdccadaddbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbabdaabbcdbdcacbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbbcdacbbbdadcbcbcccbb
acdccadcdbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbcddacbbddabcbcbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbbddabbbbdbacacbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbcadacbbcdddcbcbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbbbdabbbcdbccdcbcccbb
acdccadddabadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbaddacbbadaccdcbcccbb
acdccadbdabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbbcdacbbbdaacdcbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbbcdacbbcdaccbcbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaddaabbbdbacacbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbabdadbbadaacdcbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbacdadbbbdaacbcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbcbdabbbddcccbcbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbbddaabbadbdcccbcccbb
acdccadbdcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbbbdacbbdddccacbcccbb
acdccadcdabadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbaadadbbddabcccbcccbb
acdccadcdabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbbddacbbdddacdcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbbadadbbcdaccdcbcccbb
acdccadadabadcdbdaaadacbcacdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbaddadbbcdbdcbcbcccbb
acdccadbdcbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbcadadbbddbccdcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdbdacbbdddccccbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbcbdacbbcdddcdcbcccbb
acdccadddabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbddaabbadbccdcbcccbb
acdccadcddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbdcdaabbbdbacccbcccbb
acdccadddcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbaddacbbaddccacbcccbb
acdccadadcbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbacdacbbcdaccbcbcccbb
acdccadaddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbccdadbbadbacdcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdbdaabbadbdcccbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbbadaabbddbdcdcbcccbb
acdccadcdabadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdbdacbbcdbbcacbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbdadacbbbdddcbcbcccbb
acdccaddddbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbcadacbbbdbbcbcbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcbdadbbbdcbcacbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbcadadbbbdbacdcbcccbb
acdccadbddbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbbadadbbbddacccbcccbb
acdccadadcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbdddadbbcdcacbcbcccbb
acdccadcdbbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbaddadbbadbbcacbcccbb
acdccadcdabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbaddabbbddaccbcbcccbb
acdccadcddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbbddacbbadabcbcbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbbcdaabbdddacdcbcccbb
acdccadcddbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbdbdabbbddcdcdcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbddadbbbdddcbcbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbbcdabbbddbbcdcbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbdadacbbddcbcccbcccbb
acdccadcdcbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdadacbbcdbbcdcbcccbb
acdccadaddbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdadabbbddbccdcbcccbb
acdccadadbbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbbcdaabbcdbccdcbcccbb
acdccadcdcbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbabdadbbddddcdcbcccbb
acdccadcdcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbabdadbbbdcacbcbcccbb
acdccadddabadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbabdabbbddcacbcbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbccdadbbadcdcbcbcccbb
acdccadbdabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbccdacbbbddacdcbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbcddaabbddcbcbcbcccbb
acdccadadabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbacdacbbddbccccbcccbb
acdccadadcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdadadbbcdbacacbcccbb
acdccadddcbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcddabbbddbacbcbcccbb
acdccadcddbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbaddaabbddbccdcbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbaddadbbcdddcacbcccbb
acdccadcdcbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbaadacbbadddcccbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbabdabbbddbdcdcbcccbb
acdccadaddbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbcadaabbcdbdcbcbcccbb
acdccadbdcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbcdadbbcdaacccbcccbb
acdccadbdabadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbccdacbbdddacdcbcccbb
acdccadcdcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbacdadbbddcacdcbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbccdacbbbdbccccbcccbb
acdccadadabadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbaddacbbddddcbcbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdcdacbbaddccbcbcccbb
acdccadcdbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbacdabbbcdbacbcbcccbb
acdccadadcbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbdadabbbddbdcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbacdacbbddaccccbcccbb
acdccadddbbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbccdacbbcdcacacbcccbb
acdccadcdcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbacdabbbbddbcbcbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbaddacbbddbdcdcbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbbcdacbbadbccacbcccbb
acdccadddcbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbaadacbbadcdcdcbcccbb
acdccadbddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbdcdaabbadcacccbcccbb
acdccadaddbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbccdaabbcdcacacbcccbb
acdccadaddbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdcdacbbddddcccbcccbb
acdccadadabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbcbdacbbbdbacccbcccbb
acdccadcddbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbdcdabbbadcdcbcbcccbb
acdccadbdcbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbaddadbbddaccacbcccbb
acdccadaddbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbabdadbbddcccbcbcccbb
acdccadcddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbaadadbbadbccdcbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbdcdacbbddcacdcbcccbb
acdccaddddbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbcadadbbddaccbcbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbacdadbbddadcccbcccbb
acdccadbdbbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbbcdadbbbddbcbcbcccbb
acdccadcddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbcadacbbcdbbcbcbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbcadabbbbdbccacbcccbb
acdccadadbbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaadacbbbdbbcdcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbcadaabbddcacccbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbbcdacbbcdbbcccbcccbb
acdccadddcbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbaadabbbddbdcdcbcccbb
acdccadcdbbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbabdabbbadbacbcbcccbb
acdccadddbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbdcdacbbaddacccbcccbb
acdccadadabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaddabbbbdbbcdcbcccbb
acdccadadbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbaadacbbcdcccdcbcccbb
acdccadcdbbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbaadacbbbdbbcccbcccbb
acdccadcddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbaddaabbddabcbcbcccbb
acdccadbdbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdcdacbbadcccdcbcccbb
acdccadbdcbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbbcdabbbddbbcbcbcccbb
acdccadcdabadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbcadaabbdddacbcbcccbb
acdccadadabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbdadadbbcdbacacbcccbb
acdccadcddbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbabdacbbadabcbcbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbccdacbbadbdcccbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcddacbbbddbcacbcccbb
acdccaddddbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcbdadbbddaacccbcccbb
acdccadcdcbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbccdacbbddcbcbcbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdadadbbbdddcdcbcccbb
acdccadddcbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbaadabbbddbacdcbcccbb
acdccadadcbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbadacbbadddcccbcccbb
acdccadbdbbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbcadacbbcdadcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbaadabbbbdbdcdcbcccbb
acdccadddcbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbbcdaabbbdcccbcbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbdadacbbbdbbcbcbcccbb
acdccadbdabadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdcdaabbcdddcbcbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbbddacbbadcccccbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbcddabbbadbccdcbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbcdacbbcddbcacbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcddabbbadcccacbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbabdaabbddbbcacbcccbb
acdccadddcbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbabdabbbbdbbcacbcccbb
acdccadddcbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcddadbbddaacbcbcccbb
acdccaddddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdadaabbbdadcacbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbabdacbbbdadcbcbcccbb
acdccaddddbadcdbdaaadacbcacdcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbacdaabbcdaacacbcccbb
acdccadddbbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbbadaabbadcdcbcbcccbb
acdccadadabadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdadadbbbdbacacbcccbb
acdccadbddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbdbdadbbddaccbcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbaddadbbadabcbcbcccbb
acdccadadbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbaadaabbaddacdcbcccbb
acdccadcdbbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbabdacbbadbdcacbcccbb
acdccadbdabadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbabdacbbbdbccacbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbbddacbbbdbdcdcbcccbb
acdccadcdbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbaddacbbdddbcacbcccbb
acdccadddbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbbddabbbcdcacbcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbbbdabbbadaacacbcccbb
acdccadddbbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbdadadbbadbccccbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbacdacbbaddbcacbcccbb
acdccadbdabadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcbdaabbbdcacbcbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcddabbbdddccbcbcccbb
acdccadcdbbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbcbdabbbbdbacccbcccbb
acdccaddddbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbacdadbbddaacdcbcccbb
acdccadcdcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdadaabbbdbccccbcccbb
acdccadaddbadcdbdaaadacbcacdcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbbcdadbbddaacbcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbabdaabbdddbcacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbabdaabbadbbcbcbcccbb
acdccadadbbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbdadacbbbddacbcbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdddadbbadcccacbcccbb
acdccadddbbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbaadadbbadcbcacbcccbb
acdccadcdbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbabdabbbdddacccbcccbb
acdccadbdabadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdbdadbbddbbcbcbcccbb
acdccadddabadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbabdaabbddbdcccbcccbb
acdccaddddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbbdacbbddcdcacbcccbb
acdccadbdcbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbaddaabbddcdcdcbcccbb
acdccadcdcbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcadacbbbdcccccbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbcadaabbcdbbcdcbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbbddaabbddaccbcbcccbb
acdccadbddbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbbcdacbbcdadcbcbcccbb
acdccadaddbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbcadabbbadcdcdcbcccbb
acdccadddabadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbccdacbbcdcbcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdadadbbdddccbcbcccbb
acdccadddbbadcdbdaaadacbcdcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbcbdabbbddbacbcbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaadaabbddabcbcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdddabbbadadcbcbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbdcdabbbdddbcbcbcccbb
acdccaddddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcbdadbbbdcccbcbcccbb
acdccadadabadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbaddabbbcddacdcbcccbb
acdccadadabadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcadadbbddbdcacbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbacdabbbadadcacbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbaddabbbbdcacbcbcccbb
acdccadadbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbaadaabbcdadcccbcccbb
acdccadadbbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdbdacbbddcdcbcbcccbb
acdccadddbbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbaadadbbddbbcdcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbbadadbbadaacbcbcccbb
acdccadddabadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbdcdacbbcdbbcbcbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaadaabbcdaacccbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbdbdacbbdddacdcbcccbb
acdccadbdcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbdadabbbddcccacbcccbb
acdccadddcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcadacbbbdddcccbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbacdadbbadaccccbcccbb
acdccadddcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdbdabbbcddacbcbcccbb
acdccadcddbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbbadacbbddabcbcbcccbb
acdccadcddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbbcdacbbbdbccacbcccbb
acdccadcddbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbcadacbbcddccbcbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbaadaabbbdaccdcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbbcdacbbcdbbcbcbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbbdacbbddddcdcbcccbb
acdccadadcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbaddaabbbdbacdcbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbaddadbbcdabcacbcccbb
acdccadcdcbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbcadadbbadbacacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbaddadbbddcdcacbcccbb
acdccadcdcbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbaadacbbcdcbcccbcccbb
acdccaddddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbbadacbbcdcacacbcccbb
acdccadadbbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbaadacbbadddcdcbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbdadadbbadadcdcbcccbb
acdccaddddbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbaddabbbddabcbcbcccbb
acdccadcdcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdcdacbbddddcacbcccbb
acdccadaddbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbaadaabbbddacdcbcccbb
acdccadcddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbaddabbbadbacacbcccbb
acdccadbddbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbcadabbbbdaccccbcccbb
acdccadcdabadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbabdabbbddbdcbcbcccbb
acdccadcddbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbaddadbbbdcdcccbcccbb
acdccadaddbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbabdaabbddabcacbcccbb
acdccadbdbbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbdcdacbbddadcacbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbdadadbbcdaccbcbcccbb
acdccadcdcbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbaadaabbadbdcacbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdadabbbbddccdcbcccbb
acdccadddabadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbacdacbbcdbbcccbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbdadabbbbdcccccbcccbb
acdccadddabadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbddacbbdddccbcbcccbb
acdccadbdabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbadadbbadcccccbcccbb
acdccadadcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdddabbbddadcacbcccbb
acdccadcddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbdddacbbddbccacbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbaadadbbbdcbcacbcccbb
acdccadadcbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbbbdacbbddbbcdcbcccbb
acdccadddabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbabdacbbcdbdcacbcccbb
acdccadcddbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbaadabbbadcacdcbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbdadacbbaddacacbcccbb
acdccadcddbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdddabbbadbacbcbcccbb
acdccadbdcbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbbddacbbdddccacbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbdadaabbddddcbcbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcadaabbcddbcccbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbbcdaabbcdbacbcbcccbb
acdccadddbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbaadacbbcdbdcacbcccbb
acdccadadabadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbbadacbbdddbcbcbcccbb
acdccadddcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbabdadbbcdbacccbcccbb
acdccadadabadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbaadadbbcdbccbcbcccbb
acdccadddcbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbdbdadbbddaccbcbcccbb
acdccadbddbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbccdadbbddaacacbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbbcdabbbddadcbcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbdadaabbddcccacbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbddadbbadaacdcbcccbb
acdccadbddbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbbddacbbddddcccbcccbb
acdccadcddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbabdacbbbdcacacbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbabdadbbcdaacacbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbcddadbbcdcacdcbcccbb
acdccadcdabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbaadabbbddaccbcbcccbb
acdccadcdcbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbbadacbbddadcacbcccbb
acdccadddcbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbabdacbbadbccdcbcccbb
acdccadaddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcbdaabbcdadcacbcccbb
acdccadadabadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbbadabbbdddccbcbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbdbdaabbbdbbcacbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbbbdabbbbdbacacbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbbddadbbddcbcdcbcccbb
acdccadadcbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbabdaabbddbccbcbcccbb
acdccadaddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbdddabbbcdbdcbcbcccbb
acdccadcdabadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbdadacbbadaacdcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbbcdacbbadcccbcbcccbb
acdccadbddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbacdabbbbdbbcdcbcccbb
acdccadaddbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbaddabbbaddccacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcadaabbadadcacbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbaddacbbcddbcdcbcccbb
acdccadaddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbbddabbbbdbacacbcccbb
acdccadddbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbdadadbbddbccccbcccbb
acdccadcdabadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbaadaabbddaacdcbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbcdabbbddaacacbcccbb
acdccadddbbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbcdadbbcdbacbcbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbcadaabbddddcbcbcccbb
acdccadadabadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbbadacbbddcdcbcbcccbb
acdccadbdbbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbbadabbbbdbdcbcbcccbb
acdccadddbbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaddacbbcdaacbcbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbaddabbbbdbdcacbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbaddadbbadbbcbcbcccbb
acdccadadcbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbacdacbbbdcacacbcccbb
acdccadbdabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbcbdacbbddbdcdcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbbcdacbbbdadcdcbcccbb
acdccadbdabadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbaadadbbddadcbcbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbabdabbbddbbcacbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbabdabbbadcacbcbcccbb
acdccadcdbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbaddabbbcdcbcdcbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcbdadbbddadcbcbcccbb
acdccadaddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbacdacbbadcdcacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdcdacbbadcbcdcbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbabdabbbbddacdcbcccbb
acdccadadcbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbabdabbbbdcccccbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbbcdacbbcddacccbcccbb
acdccaddddbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdcdacbbadadcacbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbbadadbbddaacccbcccbb
acdccaddddbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbcdaabbddbdcbcbcccbb
acdccadcddbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbdcdabbbddbccbcbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbacdadbbbdcbcdcbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbccdacbbddcacdcbcccbb
acdccadcdbbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbdadaabbddbbcdcbcccbb
acdccadbdbbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbbbdacbbddabcdcbcccbb
acdccadbdcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbccdadbbcddacbcbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbbddacbbcdbbcdcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbbdaabbcdcacbcbcccbb
acdccadddabadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbdadacbbddaacacbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbdbdacbbaddacdcbcccbb
acdccadbdcbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbcdabbbddbccdcbcccbb
acdccadbdbbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbbcdacbbadcdcacbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbdadabbbddaccccbcccbb
acdccadddcbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbaadadbbcddacdcbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbcdacbbbddacbcbcccbb
acdccadcdbbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbbadadbbddaacbcbcccbb
acdccadbdabadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbdbdadbbdddacacbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbcddacbbcdbccccbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbbcdabbbcdddcbcbcccbb
acdccaddddbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbdadabbbbdbccacbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbaadaabbadabcccbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbccdacbbadbacdcbcccbb
acdccadddcbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbabdaabbbddacbcbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbacdacbbcdbccdcbcccbb
acdccadddbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcadabbbadcbcacbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbabdacbbbdabcdcbcccbb
acdccadbdabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbbddabbbbdcacccbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdcdacbbbdbbcacbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbacdadbbadcacccbcccbb
acdccadcdabadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbcddabbbdddacccbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdbdacbbadcccbcbcccbb
acdccadddabadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbbddacbbcdbbcdcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddadbbcdadcacbcccbb
acdccaddddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdbdadbbadcccbcbcccbb
acdccadbdbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbbbdabbbddaacacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbabdacbbaddbcacbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbaadaabbadabcacbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbdadacbbadaccbcbcccbb
acdccadddcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbdadabbbbdddcacbcccbb
acdccadaddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcbdadbbddbccdcbcccbb
acdccadddbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbaddacbbadbbcccbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbcadabbbdddccdcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbbadacbbcddccbcbcccbb
acdccadcdbbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbabdaabbbdbccbcbcccbb
acdccadbdabadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbccdacbbbdbbcacbcccbb
acdccadaddbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbcbdacbbcdbacccbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbdbdacbbadbacacbcccbb
acdccadbddbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbbcdaabbddcdcbcbcccbb
acdccaddddbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcddacbbbdaccccbcccbb
acdccadaddbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbbbdadbbcdbbcbcbcccbb
acdccaddddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbaadadbbcddccbcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbacdabbbaddccbcbcccbb
acdccadcdabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbaadadbbcdadcdcbcccbb
acdccadadcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbbbdaabbbdcacacbcccbb
acdccadcdabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbaddacbbadaacbcbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbdadabbbcdadcbcbcccbb
acdccadddcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbaddacbbbdcacbcbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbdcdaabbddbacacbcccbb
acdccaddddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbbadabbbadadcdcbcccbb
acdccadddabadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbbadaabbddbacccbcccbb
acdccadbddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbccdabbbddaccdcbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbcdaabbbddacdcbcccbb
acdccadcdbbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbbdabbbadbacbcbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcddadbbadcacacbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdbdadbbcdaacdcbcccbb
acdccadaddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbcadacbbbdaacccbcccbb
acdccadddcbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcadadbbcddccbcbcccbb
acdccaddddbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbabdadbbddbdcbcbcccbb
acdccadadcbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcadadbbddaacccbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbabdadbbbddacdcbcccbb
acdccadbdabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbbddadbbbdbacbcbcccbb
acdccadbddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbacdabbbdddccdcbcccbb
acdccadbdabadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdadacbbddddcdcbcccbb
acdccaddddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbbbdacbbddcbcbcbcccbb
acdccadadabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbaddacbbddbccacbcccbb
acdccadddabadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdddacbbcddbcbcbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbccdadbbbdaacbcbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbaddaabbadaacbcbcccbb
acdccadcdabadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbcddadbbcdbacbcbcccbb
acdccadbdbbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbdadacbbadcccacbcccbb
acdccadcdcbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbadabbbbddacdcbcccbb
acdccadadabadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbaddacbbcdaacbcbcccbb
acdccadadabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbbcdabbbddbccbcbcccbb
acdccadadabadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbbddacbbcdaacbcbcccbb
acdccadaddbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbaadacbbbddccccbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbcadadbbadbdcbcbcccbb
acdccadbdcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbacdadbbadbdcbcbcccbb
acdccadcdabadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbaddabbbadbbcbcbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbbddadbbddbccccbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbaddadbbddbacacbcccbb
acdccadcdcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbdddaabbddbccccbcccbb
acdccadbdabadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbaadaabbcdcbcdcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbaadacbbcdddcccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbacdadbbddbccdcbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbdadacbbbdabcbcbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbcbdacbbddabcdcbcccbb
acdccadaddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbacdacbbcdcdcacbcccbb
acdccadadbbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbdadadbbcdadcbcbcccbb
acdccadbdbbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbbbdacbbcdbacdcbcccbb
acdccadadbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbbcdacbbddcdcbcbcccbb
acdccadaddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbccdabbbddcccacbcccbb
acdccadbddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbbadaabbbddccccbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbaddadbbadaccbcbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbaadacbbadcdcacbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbcbdaabbadbdcacbcccbb
acdccadddbbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbbadacbbcddacbcbcccbb
acdccadbdbbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbacdaabbddbccccbcccbb
acdccaddddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbbadacbbbdcccbcbcccbb
acdccadcdabadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbcdabbbbdaacbcbcccbb
acdccadbddbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbaadaabbbdcccdcbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbcadadbbadbdcbcbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbbcdacbbbdbdcbcbcccbb
acdccaddddbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaabdcabaaabbdadabbbcddccdcbcccbb
acdccadcdcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbbadaabbbdbbcbcbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbacdacbbddbbcccbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbaddadbbcdbccacbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbdbdacbbddcdcdcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbabdacbbcdabcdcbcccbb
acdccadcdcbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbdadacbbddbbcbcbcccbb
acdccadadbbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbacdacbbddcbcccbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaddaabbadcbcbcbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbbbdacbbbdaacbcbcccbb
acdccadcdabadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbbddacbbddbacacbcccbb
acdccadddabadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdadabbbddaacacbcccbb
acdccadddabadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbdcdaabbddbacbcbcccbb
acdccadddcbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcddacbbcdbbcdcbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbacdaabbdddccacbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbbcdacbbadbccccbcccbb
acdccadcdcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbabdabbbddbdcccbcccbb
acdccadadabadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbcbdabbbcdaacacbcccbb
acdccadadcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbabdabbbbdcacacbcccbb
acdccadbdabadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbbadadbbbdaccbcbcccbb
acdccaddddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbcddadbbddbdcbcbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbccdadbbadcccccbcccbb
acdccadbdcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbcdaabbcdaacccbcccbb
acdccadadcbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbacdaabbadaacacbcccbb
acdccadbdbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdbdacbbcdcccccbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbabdabbbcdcacbcbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbbdadbbcdbacccbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddabbbcddbcdcbcccbb
acdccadddabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbaddacbbcdcccdcbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbdcdaabbbdbbcbcbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbddabbbddabcbcbcccbb
acdccadddbbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbaadaabbddcdcccbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbabdadbbadbacccbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbcbdacbbcdcacbcbcccbb
acdccadcddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbbddacbbddcbcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbcadacbbddcccdcbcccbb
acdccadcdcbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbaadaabbddbdcdcbcccbb
acdccadcdcbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbaadaabbcdcacbcbcccbb
acdccadcddbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbaadaabbbdcbcbcbcccbb
acdccaddddbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdddacbbbdbdcdcbcccbb
acdccadbdabadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbaddadbbddadcacbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdadabbbaddbcbcbcccbb
acdccadcddbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddadbbadcacccbcccbb
acdccadadbbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbaadacbbddaccacbcccbb
acdccadbdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdddacbbadddcccbcccbb
acdccadadbbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbaadadbbcdaacbcbcccbb
acdccadaddbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbccdadbbcdaacbcbcccbb
acdccadddabadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbaadabbbddbccdcbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbbadacbbaddccacbcccbb
acdccadcddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbbcdadbbddabcbcbcccbb
acdccadcdcbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbbddacbbddbccdcbcccbb
acdccadddcbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddadbbddddcacbcccbb
acdccadbdcbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbbadabbbddaccbcbcccbb
acdccadbdcbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbccdacbbaddccbcbcccbb
acdccadcddbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbbcdacbbcdaacbcbcccbb
acdccadddcbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbabdaabbddaacdcbcccbb
acdccadddcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbddacbbbddccccbcccbb
acdccadbdbbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbabdabbbdddacbcbcccbb
acdccadcdbbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbbddacbbddcccacbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbcbdacbbadaacccbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbbddacbbadcccbcbcccbb
acdccadcdbbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbdadacbbbddacdcbcccbb
acdccadbdcbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbdddaabbbdbccacbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbaadaabbadddcccbcccbb
acdccadbdcbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbbadadbbadcacbcbcccbb
acdccadadabadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbdadaabbddbacacbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbbddacbbddadcccbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbcddacbbcdabcccbcccbb
acdccadbdcbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdddacbbbdcacdcbcccbb
acdccadadcbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaabdcabaaabbaadacbbddcbcccbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbccdabbbddaacacbcccbb
acdccadadbbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbaddadbbcdbacbcbcccbb
acdccadadbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbcadadbbadddcbcbcccbb
acdccadcdcbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbccdacbbdddacbcbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbccdadbbddcbcacbcccbb
acdccadcddbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbdbdabbbddbacdcbcccbb
acdccadddbbadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbbadadbbddbacdcbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbaadabbbbdcbcacbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcadacbbadcbcacbcccbb
acdccadbdabadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbdcdacbbadaacacbcccbb
acdccadadcbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbbadabbbadbacacbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbcadaabbbddacacbcccbb
acdccadadabadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbacdacbbcdbbcbcbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaaddcabaaabbbadadbbbdcdcbcbcccbb
acdccadadcbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbdadadbbddbacccbcccbb
acdccadbddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbbddadbbddaccccbcccbb
acdccadbdcbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbbadaabbddbccacbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbbbdaabbbdbacdcbcccbb
acdccadbdabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbcddacbbcdaccbcbcccbb
acdccadcdbbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbcbdacbbddbccccbcccbb
acdccadadbbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbbdacbbddbbcdcbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbaddabbbddabcdcbcccbb
acdccadbddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbbadaabbadddcbcbcccbb
acdccadaddbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbcddabbbaddacbcbcccbb
acdccaddddbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbacdaabbadbacacbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbdadacbbbdddcccbcccbb
acdccadddbbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbaddaabbbdbacbcbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdcdabbbadbdcccbcccbb
acdccadbdabadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbcadaabbbdcacacbcccbb
acdccadadbbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbdbdadbbddcacbcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbacdadbbadbdcccbcccbb
acdccadbdabadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbcadacbbbdabcbcbcccbb
acdccadadabadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbdddaabbddaccbcbcccbb
acdccadadabadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbadacbbadabcacbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbbbdacbbddddcccbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbabdaabbdddbcacbcccbb
acdccadaddbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbaadaabbdddccccbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbacdacbbcddccccbcccbb
acdccadadabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbdddacbbcdbacbcbcccbb
acdccadddabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbabdacbbddadcdcbcccbb
acdccadbdcbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbcdacbbbdcbcdcbcccbb
acdccaddddbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdadaabbadadcbcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbdadabbbcdcccbcbcccbb
acdccadaddbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbaadacbbbdabcdcbcccbb
acdccadbdcbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdddabbbbddccbcbcccbb
acdccadbdabadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbdbdacbbbdcacdcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbbcdacbbbdbccccbcccbb
acdccadcdbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbaddacbbadcacacbcccbb
acdccadcddbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbbbdadbbddaacacbcccbb
acdccadadabadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbaadacbbaddccbcbcccbb
acdccadddcbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdcdabbbbdbacbcbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcddacbbddbccacbcccbb
acdccadadcbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbabdadbbadaccbcbcccbb
acdccadbdbbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbcddacbbbddacacbcccbb
acdccadcdcbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbacdacbbdddacacbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcddaabbbddccacbcccbb
acdccadbdbbadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbbadacbbcdcacdcbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbdcdacbbbdbccbcbcccbb
acdccadcdbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbabdadbbadaacbcbcccbb
acdccadadabadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaabdcabaaabbaadacbbcdbacacbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdadaabbbdaacdcbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaacdcabaaabbbcdadbbcddccbcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbcadaabbadadcacbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaabdcabaaabbbddadbbddbbcccbcccbb
acdccadcdbbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbaddadbbcddacbcbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbcadaabbbdcacdcbcccbb
acdccadbddbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbcbdabbbadaacccbcccbb
acdccaddddbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbadabbbaddacacbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbdadaabbddabcacbcccbb
acdccadadbbadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbbcdabbbadcacbcbcccbb
acdccadbdabadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbdddacbbcdcacbcbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbbadaabbdddacacbcccbb
acdccadbdcbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbaddaabbddbdcccbcccbb
acdccadcdbbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbdcdabbbddbdcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbabdaabbbdbacccbcccbb
acdccaddddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbdddacbbddbdcacbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbbbdaabbcdaacdcbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbcadabbbddaacbcbcccbb
acdccadcddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbcadaabbcdddcbcbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbabdaabbbdcacbcbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbaadacbbadcccccbcccbb
acdccadaddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbcbdaabbddcacacbcccbb
acdccadbdcbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbdddabbbcdcdcbcbcccbb
acdccadddbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdadacbbcdadcbcbcccbb
acdccadadbbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbdddabbbcdbbcccbcccbb
acdccadddbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbdadacbbcddccbcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdbdabbbadcccbcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaabdcabaaabbcadadbbcdbacacbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbbadacbbcdcdcdcbcccbb
acdccadbdabadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaadaabbdddccccbcccbb
acdccadadbbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbadacbbddbbcacbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbacdacbbaddacbcbcccbb
acdccadaddbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbdddaabbddbacdcbcccbb
acdccadcddbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbccdacbbbdbdcbcbcccbb
acdccadcddbadcdbdaaadacbcdcdcbbdcbabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbdadacbbddbccdcbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbbcdabbbcdbbcdcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbcddacbbcdaccbcbcccbb
acdccadbddbadcdbdaaadacbcacccbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbacdabbbadbbcccbcccbb
acdccadcdcbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbacdacbbcddacbcbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbacdaabbddbbcdcbcccbb
acdccadddabadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbbadacbbddcbcacbcccbb
acdccadbddbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbbddabbbadbccccbcccbb
acdccadbdabadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbdcdadbbddbdcbcbcccbb
acdccaddddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbcadabbbbdcdcbcbcccbb
acdccadcddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbcadacbbbdcacacbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbbddabbbddcacbcbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbcddabbbcdcacdcbcccbb
acdccadadabadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcbdabbbddabcbcbcccbb
acdccadcdabadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbcadabbbddbccccbcccbb
acdccadddbbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbdadaabbddbccbcbcccbb
acdccadbdcbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbccdacbbcddbcbcbcccbb
acdccadbddbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbabdaabbadaccbcbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbcadabbbddcacccbcccbb
acdccadadabadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbaadaabbbdbacccbcccbb
acdccadadbbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcadadbbbdaacdcbcccbb
acdccadcddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbaddaabbddaccbcbcccbb
acdccadcddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbdadabbbddcbcacbcccbb
acdccadddabadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbaadadbbddcccccbcccbb
acdccadbdabadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbcadacbbcdddcacbcccbb
acdccadadbbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbcadacbbaddccdcbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbadadbbddddcacbcccbb
acdccadbdbbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbabdadbbcdbbcbcbcccbb
acdccadbdcbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdadaabbcdbccdcbcccbb
acdccadbdabadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcadacbbcdadcdcbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbaadabbbadabcbcbcccbb
acdccadadcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbaadadbbadadcbcbcccbb
acdccadddabadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbbbdaabbddbbcccbcccbb
acdccadddbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbaddacbbcdcccccbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbdbdacbbadbccacbcccbb
acdccadbdcbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbccdaabbddaacccbcccbb
acdccadaddbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbdadacbbbdcccbcbcccbb
acdccadddbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbbadacbbbddccccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbcadabbbbddacacbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbdadabbbcdcdcdcbcccbb
acdccadadbbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbaddaabbddcbcbcbcccbb
acdccaddddbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbcadabbbadadcccbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbcbdacbbbdbacacbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaadaabbcdbdcacbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbaadabbbcddacacbcccbb
acdccadadcbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcbdacbbbdaacacbcccbb
acdccadbdabadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbabdabbbddcccbcbcccbb
acdccadcdcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbdddacbbddabcccbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbbadadbbbdadcccbcccbb
acdccadddabadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbaadaabbdddacdcbcccbb
acdccadddabadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbdbdacbbbddbcbcbcccbb
acdccadbddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbdbdabbbdddccdcbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbaddaabbddbdcbcbcccbb
acdccaddddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbcadaabbadbacdcbcccbb
acdccadddabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbbddabbbddcacbcbcccbb
acdccadbdbbadcdbdaaadacbcbcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbdcdadbbbdbacbcbcccbb
acdccadddbbadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaddcabaaabbdadadbbcdaacbcbcccbb
acdccadadbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbcadabbbddbdcccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdbdacbbcdcccacbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbbbdacbbcddbcbcbcccbb
acdccadbdabadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbbbdacbbbddccccbcccbb
acdccadcdcbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbdddacbbbddacbcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbaadaabbcdadcacbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbacdaabbadbdcbcbcccbb
acdccaddddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbcddabbbdddccbcbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbcadadbbbdaccccbcccbb
acdccadddcbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbaadaabbcdaacdcbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbbcdacbbddaccbcbcccbb
acdccadbdbbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdbdacbbadbdcacbcccbb
acdccadcdbbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbcadacbbcdbccbcbcccbb
acdccadddcbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbaadacbbaddccbcbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbdadacbbbdcbcacbcccbb
acdccadbdabadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbaddaabbaddacdcbcccbb
acdccadadbbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbbddacbbbdcdcacbcccbb
acdccadcdcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbabdabbbadaacbcbcccbb
acdccadddcbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbcbdaabbddcbcdcbcccbb
acdccadadabadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbacdacbbcdcdcbcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbaadacbbadbccacbcccbb
acdccadcdbbadcdbdaaadacbcacbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbabdacbbbdbacbcbcccbb
acdccadbdcbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaacdcabaaabbdadaabbddbbcacbcccbb
acdccadbdbbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbdadacbbdddacdcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbdadacbbddddcbcbcccbb
acdccadadbbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbcadaabbddabcacbcccbb
acdccadaddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbabdabbbadabcbcbcccbb
acdccadddbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbcadacbbcdadcccbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbabdadbbadcdcacbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbcadacbbadddcbcbcccbb
acdccadddabadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbbddacbbbdbccbcbcccbb
acdccadbdbbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaadadbbdddccccbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbbddaabbbdbacbcbcccbb
acdccadbdcbadcdbdaaadacbcacbcbbdccabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbabdacbbddbdcdcbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbbbdacbbadcbcbcbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaddcabaaabbbadacbbcdbbcacbcccbb
acdccadcddbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbaadabbbbdabcbcbcccbb
acdccaddddbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbbddacbbbdaccccbcccbb
acdccadcdabadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbbadabbbddbacacbcccbb
acdccadcddbadcdbdaaadacbcbcccbbdcbabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbccdacbbcdcbcbcbcccbb
acdccadcddbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbbddacbbadbacacbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbabdadbbcdcacccbcccbb
acdccadadbbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbdddabbbdddbcdcbcccbb
acdccaddddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbdbdadbbddddcacbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbbbdabbbddabcccbcccbb
acdccadcdcbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbbddacbbbdbacacbcccbb
acdccadbdabadcdbdaaadacbcacacbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbaddaabbddbdcacbcccbb
acdccadcddbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbdbdacbbadbacccbcccbb
acdccadcddbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbbadacbbddadcdcbcccbb
acdccadddbbadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaabdcabaaabbacdabbbddbbcbcbcccbb
acdccadcdabadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbcadabbbbddacbcbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccccdbbacccdccccdcaabdcabaaabbacdabbbbddbcbcbcccbb
acdccadcddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbcbdacbbcdbbcacbcccbb
acdccadddabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbaadadbbcdcdcdcbcccbb
acdccadcddbadcdbdaaadacbcacdcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbaddadbbddaacbcbcccbb
acdccadbdcbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbdadacbbddaacdcbcccbb
acdccadadcbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbacdacbbdddacacbcccbb
acdccadddbbadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbaddacbbddbacdcbcccbb
acdccadadcbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbaadabbbddadcacbcccbb
acdccadadabadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbcadabbbddcccbcbcccbb
acdccadcddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbdddacbbcdddcbcbcccbb
acdccadcdcbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbbadacbbadaacbcbcccbb
acdccadcdbbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbcbdabbbddcacacbcccbb
acdccadbdcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccacaabdcabaaabbbadadbbadcacbcbcccbb
acdccadcdbbadcdbdaaadacbcccbcbbdccabbbbddbcbccdbabccbcdbbacccdccccacaacdcabaaabbbadacbbadbacdcbcccbb
acdccadddabadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbacdadbbddbccccbcccbb
acdccadbdabadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbabdabbbddaccccbcccbb
acdccadcdcbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbaddacbbbdaccbcbcccbb
acdccadcdabadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccccdbbacccdccccbcaacdcabaaabbaadacbbddabcccbcccbb
acdccadbddbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaddcabaaabbccdabbbddadcdcbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdbdadbbaddbcccbcccbb
acdccadadcbadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbbddaabbddaacccbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdcdabbbddadcdcbcccbb
acdccaddddbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbadaabbbdbbcccbcccbb
acdccadbdbbadcdbdaaadacbcacdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbbbdadbbddbdcbcbcccbb
acdccadddbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbbcdacbbbdbdcccbcccbb
acdccadadbbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbacdaabbddabcbcbcccbb
acdccadbdabadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbaadaabbadabcccbcccbb
acdccadadcbadcdbdaaadacbcacacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbaddacbbadaacccbcccbb
acdccadcdbbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbacdacbbadddcdcbcccbb
acdccadaddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbcadacbbaddbcbcbcccbb
acdccadadabadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbcdaabbcdadcbcbcccbb
acdccadbddbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbaddadbbadaacdcbcccbb
acdccadcdbbadcdbdaaadacbcdcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaaddcabaaabbaadacbbcdaccbcbcccbb
acdccadbdbbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbbcdacbbcdcccacbcccbb
acdccadcddbadcdbdaaadacbcdcbcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbbcdaabbbdbacbcbcccbb
acdccadddbbadcdbdaaadacbcccccbbdcbabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbbadadbbddbbcbcbcccbb
acdccadbddbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaacdcabaaabbdcdacbbadbdcccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaacdcabaaabbbddabbbadcacbcbcccbb
acdccadcdbbadcdbdaaadacbcbcacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbdbdacbbbdbdcbcbcccbb
acdccadcddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccccdbbacccdccccdcaaadcabaaabbbbdadbbadcacccbcccbb
acdccadbdcbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbaadadbbadcccccbcccbb
acdccadadcbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdadadbbcdcbcbcbcccbb
acdccadbdabadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccccdbbacccdccccacaacdcabaaabbacdaabbbdbacacbcccbb
acdccadddcbadcdbdaaadacbcdcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbdadadbbddcdcccbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaabdcabaaabbbddacbbbdbccbcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccbcdbbacccdccccdcaacdcabaaabbaddabbbdddbcbcbcccbb
acdccadddabadcdbdaaadacbcccccbbdccabbbbddbcbccdbabccdcdbbacccdccccacaaadcabaaabbbadacbbadcccbcbcccbb
acdccadcdcbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbdadadbbcdbbcccbcccbb
acdccadbdbbadcdbdaaadacbcbcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccbcaacdcabaaabbaddacbbddabcbcbcccbb
acdccadddcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbaadabbbadaacdcbcccbb
acdccadadabadcdbdaaadacbcacbcbbdcdabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbaadadbbddaacdcbcccbb
acdccadbdcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbaadacbbcdcdcacbcccbb
acdccadbdbbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaabdcabaaabbdddadbbbdbdcacbcccbb
acdccadbddbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdbdabbbddddcccbcccbb
acdccadbddbadcdbdaaadacbcacbcbbdcaabbbbddbcbccdbabccccdbbacccdccccacaaadcabaaabbbddacbbdddbcccbcccbb
acdccadddabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaacdcabaaabbaadaabbcddacbcbcccbb
acdccadbdbbadcdbdaaadacbcdcdcbbdccabbbbddbcbccdbabccacdbbacccdccccbcaaadcabaaabbbbdacbbadadcbcbcccbb
acdccadaddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbaadaabbbdddcacbcccbb
acdccaddddbadcdbdaaadacbcdcbcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbadaabbddcccacbcccbb
acdccadaddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbdddaabbddcdcdcbcccbb
acdccaddddbadcdbdaaadacbcacacbbdccabbbbddbcbccdbabccccdbbacccdccccbcaaddcabaaabbdadacbbaddacacbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccacaabdcabaaabbccdadbbcdbccbcbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbaddabbbbdbccccbcccbb
acdccadcddbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbbbdacbbcdaccdcbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccccdbbacccdccccacaaddcabaaabbcadadbbcdcdcbcbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaacdcabaaabbbbdaabbbdcbcbcbcccbb
acdccaddddbadcdbdaaadacbcacccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbcadacbbaddccbcbcccbb
acdccadbdbbadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbdadacbbadcccccbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbcadacbbcdcdcccbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbbadaabbcdaccdcbcccbb
acdccadddcbadcdbdaaadacbcbcbcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdadabbbbddacacbcccbb
acdccadcdabadcdbdaaadacbcbcacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaabdcabaaabbcadabbbddbbcacbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccdcdbbacccdccccdcaacdcabaaabbaddadbbddbdcdcbcccbb
acdccadcddbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbdadabbbadcccdcbcccbb
acdccadbdabadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccdcdbbacccdccccbcaaddcabaaabbdcdadbbdddbcdcbcccbb
acdccadddbbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccacaaadcabaaabbaadacbbbdcbcccbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcdabbbbddbcbccdbabccccdbbacccdccccacaabdcabaaabbcddacbbadcdcacbcccbb
acdccadddcbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbdadabbbdddbcbcbcccbb
acdccaddddbadcdbdaaadacbcbcbcbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbccdabbbbdbacbcbcccbb
acdccadcddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaaddcabaaabbdbdabbbbdbccbcbcccbb
acdccadadabadcdbdaaadacbcacccbbdcdabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbbadadbbbddacacbcccbb
acdccaddddbadcdbdaaadacbcdcccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbcadaabbcdbacacbcccbb
acdccadaddbadcdbdaaadacbcdcccbbdcdabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbabdaabbadaacccbcccbb
acdccadbdcbadcdbdaaadacbcdcacbbdccabbbbddbcbccdbabccdcdbbacccdccccbcaaadcabaaabbdcdabbbddcacccbcccbb
acdccadcdabadcdbdaaadacbcccccbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbcadabbbadbacdcbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbdddadbbaddacdcbcccbb
acdccadbddbadcdbdaaadacbcbcdcbbdcbabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbcbdaabbddadcacbcccbb
acdccadcdabadcdbdaaadacbcccbcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaabdcabaaabbaddacbbcdbbcccbcccbb
acdccadbddbadcdbdaaadacbcccbcbbdcaabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbdbdabbbcdcccbcbcccbb
acdccadddabadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbdadadbbbdcccbcbcccbb
acdccadbdcbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbcbdadbbddbccacbcccbb
acdccadbddbadcdbdaaadacbcdcccbbdcbabbbbddbcbccdbabccacdbbacccdccccccaacdcabaaabbabdabbbbdabcacbcccbb
acdccadbddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccbcdbbacccdccccdcaaddcabaaabbdbdadbbdddacacbcccbb
acdccadbdcbadcdbdaaadacbcccacbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbdcdabbbadcccdcbcccbb
acdccadcdcbadcdbdaaadacbcbcacbbdccabbbbddbcbccdbabccacdbbacccdccccccaaddcabaaabbbadaabbbdbbcacbcccbb
acdccadcdabadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbcadabbbadbccbcbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccacdbbacccdccccdcaaadcabaaabbabdacbbcdddcccbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccdcdbbacccdccccdcaabdcabaaabbcbdabbbddbdcacbcccbb
acdccadbddbadcdbdaaadacbcbcccbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbbddacbbaddccacbcccbb
acdccadbdbbadcdbdaaadacbcdcbcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbdddacbbddbccccbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccdcaaddcabaaabbcadacbbcdcccdcbcccbb
acdccadddbbadcdbdaaadacbcacdcbbdcbabbbbddbcbccdbabccccdbbacccdccccbcaaadcabaaabbaadabbbddcacacbcccbb
acdccadddabadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccbcdbbacccdccccccaacdcabaaabbdddadbbddddcbcbcccbb
acdccadadbbadcdbdaaadacbcacacbbdcdabbbbddbcbccdbabccccdbbacccdccccccaabdcabaaabbacdabbbadbccacbcccbb
acdccadadabadcdbdaaadacbcccacbbdcbabbbbddbcbccdbabccacdbbacccdccccacaaadcabaaabbaddadbbaddbcdcbcccbb
acdccadddabadcdbdaaadacbcdcccbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbacdacbbbdadcbcbcccbb
acdccadcdcbadcdbdaaadacbcbcccbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbcdacbbddcdcdcbcccbb
acdccadddcbadcdbdaaadacbcdcacbbdcaabbbbddbcbccdbabccbcdbbacccdccccccaaadcabaaabbacdadbbdddccdcbcccbb
acdccadadcbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccacdbbacccdccccccaaadcabaaabbcadacbbbdcbcccbcccbb
acdccaddddbadcdbdaaadacbcdcacbbdcbabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbbddadbbddbbcacbcccbb
acdccadbdbbadcdbdaaadacbcdcbcbbdcbabbbbddbcbccdbabccacdbbacccdccccdcaaddcabaaabbaadabbbcdaacacbcccbb
acdccadadcbadcdbdaaadacbcccdcbbdcbabbbbddbcbccdbabccacdbbacccdccccacaacdcabaaabbbadabbbcdaacbcbcccbb
acdccadaddbadcdbdaaadacbcbcdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccccaaddcabaaabbabdacbbddabcacbcccbb
acdccadaddbadcdbdaaadacbcacdcbbdcdabbbbddbcbccdbabccdcdbbacccdccccacaabdcabaaabbaadaabbadcdcbcbcccbb
acdccadbdbbadcdbdaaadacbcccdcbbdccabbbbddbcbccdbabccdcdbbacccdccccccaaadcabaaabbcbdaabbadbdcccbcccbb
acdccadbdbbadcdbdaaadacbcdcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccccaabdcabaaabbdddacbbadadcacbcccbb
acdccadbddbadcdbdaaadacbcccccbbdcdabbbbddbcbccdbabccbcdbbacccdccccbcaaadcabaaabbdbdadbbbdcccdcbcccbb
acdccadbdbbadcdbdaaadacbcbcdcbbdcdabbbbddbcbccdbabccacdbbacccdccccccaabdcabaaabbbddabbbbdbbcacbcccbb
acdccadbddbadcdbdaaadacbcccdcbbdcaabbbbddbcbccdbabccdcdbbacccdccccacaaddcabaaabbaddadbbddadcccbcccbb
acdccadbdabadcdbdaaadacbcacccbbdcbabbbbddbcbccdbabccbcdbbacccdccccdcaaadcabaaabbbadabbbcddacbcbcccbb
acdccadbdcbadcdbdaaadacbcbcdcbbdccabbbbddbcbccdbabccacdbbacccdccccacaaddcabaaabbacdadbbddabcbcbcccbb
acdccadadbbadcdbdaaadacbcbcacbbdcdabbbbddbcbccdbabccdcdbbacccdccccdcaaadcabaaabbaadaabbadadcdcbcccbb
acdccadcddbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccacdbbacccdccccbcaacdcabaaabbdddaabbbdaacacbcccbb
acdccadcdcbadcdbdaaadacbcccacbbdcaabbbbddbcbccdbabccccdbbacccdccccccaaadcabaaabbcadadbbcdaccccbcccbb
