baaaaccbabcbacaacbaacaaabcbbaaacbcacbbbaaabcabbaacbaacbbbccbcccbcccabacacabcbcabaaaccacbcbbbccbaaabcbcababbabbbbaccacbaccbbcaabbccbbcaacacccabacccccacbccbcacaababbacbcccabaababaacbcccaabaaccbbbbbbbaccbaabbcbcbbaabccabcccccaabcabcccbbbaacbcbabcbabbcaaccacaaabbbcbcbbbaaabcaaabbcabccbccbabacacbacbacbcaabbcacaccbbccbbaabcbacbbababcaaaabcbcbbcbcaacaaccbcabbbabbaaabcaabccbabbbbbcbcccacbacbbcccbcbbcbbabccbcbbabcacbbbababcacabbacbaabcaacbbcababababbacbbcbbcbcaabbaccbcacacaaccccbabacacaaccbcacccaccabcbcbaaaacccbcbbacbabaaabacaccaaccaaaaccabccccbbcccccbacbcabcbbbbbccaccbccbbabbbabbaaabbcbbbbbabcccbbacbcbcabbbccabaaabacabcababacccbcacaabbaaacabaccbcbaaacaccccbcabbccaaaacabcacaaacbcbcbbcbaaabaaacaabcbbabbccaacbaacacccaccabbccbbbaabcaccabacccacbbcabaabccaaaacacacaaaaaaabcccbcbababbaaacbababccbacbabcccbccbccbacaacabbbabcbccbcccabaaabaaabacacbbccabbcaaccbcbcaabbabcccbbbaaacababccaacbaacacccaaccabaaacaaabaaccbcaccbbbcacbcababbccbcbacbabcaacbcbbccccbbcababaacabaaccbaaacbacccaaaabccbabcaababacaaccbcccacaccacbccacbabbbabcbcbaaabcbcbbbaabbcbcbccbaacabbabbabaaccbbcbbaccababbcbbabbbbaaababbaabaccacbaacbcbbccabbbccacaccabbaaaccabbbccaaccbbbcbbaaacbababccbcabcacaacbbcbccabcccaabcbcabbaaaabcacacbbcabbaabbccaaabbabaccbbbbabccccabbcbbbbcabbababaabcbbcccbacbaababcccbbccabacacbbaacacbbaaccabcbbaccbbabcaacaccaccbacbaabcaacaccabacbabacbabccacabaaababbacccbcbbcccbaabacacbaccaacbcccabcabcaabccabcbcacccbbbcaacacbbcaabbaaabacbabccbbabbacababcbbaabaacbcbcbcbabbcbacaaaccaaaccacbbcaacabccabaabacbbccababccbaabbaacbcbacaabacbbbaccbacbabbaaabaacbbaacbaabaaccbabaacaccbbbabccaaacccabaacaaaaaaacccabbaababaccbbcacbcbcccaacaaaabbabbababacaabaccacbbabcaabbacccaaabaaababcbccbccccbbaababbaabacbbccccbcbbccccbbaaabcacbbaabacaacabaaacabbabcaaacbbcbabccabccabbbbcbbabcccaccacbabcbbaccbccbaabcaccbaacbbcbacabbabacaaaccaacaabcbbcccaabcbcbcaacbabacaabaacabacccbbcbbbcbacabacbcbcccaababbcaccabcccbccccbcacbbbabbacbcaaccbbbcaabcaabbabcbcaaccaccccacbbacabaabbbcbcacacccbacacabccbabcbabbbabacbcaaabaacbcbabbabbccccbbbbaababcacacaaaabacbccbbaaaaabcccccababbaccabaacbbabacacbbcaccbaaaccbbcccbbabaabcbabababccbbbaabaabbcbbbccbbbcaacababccbabbcccbabccabbaaacabaabbbabbabbbacaacacbbcaaabcbaabccbabaabcbababccaccbbcabcbcbabcaabccbcabaaabccbbcaccbbacacbcaccbcabbcbcbcbacccabaabbcbcacbbcaaccacbbcbccacbabaacacbcbbbbccbcacabacbaacccbbcccaaabbbcabcacccbaccbabccbbbcccbcbaabbbcbcbbacccacbcaacabccbaaccbabacbabcccbcccaccbcabccbbbaccabaaaaccaccbccaabbcccabcabacbabbbbbaabaaccaacbacaacacbbbbacbccaaccacbaccccabcbababcbcbbccccaabcabbcacbabbbccabaccbaabcbabcacaacbbcbacbaaaacbaaaacbbbbaacbbabacbbcabbbbccbabcabbbabcaccccbbbccccbacbaabcabacbacbcacbabbacccaaccbccaccacaccacaccabacaaabcaccbbcbbacaabacaacccacacbabcacaaabbccbaabbbbacacacabbbcbaccbccacccabcccccbaccbcaababacbbabababcacccacaabcbcbbbaabbabaaababbcbacabbbaccbabbbcccaaaaaabaacbbcbbbccbcbbbababbcccbcbccbcbccabacbcbaacaaacbcbacccbcccabbabbbbacacababacbbbcccacabbccbcbccacabbbccaacacbccababaaacacbbcbbbcbabccacbbbcabccbbbaccbbababacccaccbccaabababaccbcabcaabccbaccbacbbbcababbbbbacbabcbbbcacbccaabaabbcbbbcbbaabcbaaaaaabaaacacabbabbcabcbbcbcabaacbbcccbaacccacaaccbacababcbaacbbbcaacabaacbabcbbaaabacabccbbbbbbcacacbbcbbabbabbbbbcabaaaabbbcbbcbbacacaaabbacabcbacacbbcbbaacbcbcbabbbbbbaaacbcbaaaacacabaccaacbcbcabbbcbccccaccbbaabacacaccacbccabbcabaccaccaaccbbcbcaccbcbccbbabcacccbaccabcbbbabaccaaacbaacbccaababacbccababcbaacccbacbcaacaabaaabacaacccaabaabbabaabaabcbcbaacbbabcabaabbbcbcccacaaaacbbcabbcbbbbccbacabcaacbcaccbbaaabaccccbcbacbbccbbcacbacaaabcaccbbaabbccaaccbbcacbbbabacbaabcbaacacbccbcbabbcaacbbbabacabaaaabbbabaccbbcababcccabbbaabaccaaacccccaabcababcbaaccbcaacccabccccbaccbccacbbaacccaaaabcbbbbbccbaabbabcabcacabbabbaccbcbaccbccacbbbabccbbaabccabbbcbacaccccbacbcbbabbbccbccbcacbaaacaaabacccbaabacbbaabcbacabbccabcabcaaacabccaacbbbaaacacbabcacaccbbbcccccaaabcbabccbcbaacbabbcbcacbaaccabcbababbacbacaaacabbcabcccacbccabbcbbccabbaacaaababacaccccbaabbabcaacabcaaccacaacacaaaaaacacaaaccbbabcbaabccbacbaacccabbcababcbccbaabaccbcbccaabcabbababbabcbccacbcbaaccabbbcabacbacaacbcbbaacbacaaabcabbbbacaababcaccaccccaaabaacabcbbaaacabbcbcacabccbcbacccbcabbbabaaaaaaacbcabbbaaaccbacccbacbcaabcbcbbcacacccbbbaabccacaabacacbcabbaacbaabcaacabcbbccbbbacbaccabaacbababaacccaacacabbababaacabbbccacbcbccaaaaccbacbcbbaacbabbcbababbbcbbccbaccbbcabbcacabcaabccbabaaabcabaacaccaccbbcbcaccaaaabbcbbcbaccacbabaabbbcabccaaccbcbacbcbcaccbacccabccbcccacbaacaabbbabccbbacabaaccccccbbbbabccbabaabcacabbcbccacbcaaaaabcabcacbacabbccabbbcbbcbacbbbcbbcbaaacbccbaaabaabacbbcbcaaccbcccacbbbbccbcaccbbcaccbcccbbbcbbccabbbaabcaaabcccbcabbabcbabcbacbcbbaacbbcccbccaaccaccabcabbbabbabbbccccaabcbaaacccbccaaacbacbabcabcbaabaacacacaaacbacbccbaccbabcacbbabbacacbbacbbccbacbabcbcbaaabcccabcbbacbccccaacbabbbbcaabcbabbbcaacccaccbaaaaaacaabbacbaabaabaabccabacbbacbbbbcccaacbbaaabacbabcbcaabcccabcababcbbcbbbbccaabcbbcbaaacabbbbccbcbbabcaccbabcaccaaccccbacababaaacabcaacccaaabbacacabcbcbabbcbacccbbabcaaacaccbaacbaacbacbacabcbacbcbbcaabbccbabbaabbaaaaccbaabbccaabbcbaccbbcacccbbbbcbbbbcbcccaccbcbabbbbaabcbbbbaacaabcabccbcaacaaaacbcaabcbbababbcbacacaccbbbacaabcaabcacbbabbbbbacbbccbabccbaaabcbbbbacbaacaabbaccbacacaababcabcbacaccabacccababaaaaccbabcbacaacbaacaaabcbbaaacbcacbbbaaabcabbaacbaacbbbccbcccbcccabacacabcbcabaaaccacbcbbbccbaaabcbcababbabbbbaccacbaccbbcaabbccbbcaacacccabacccccacbccbcacaababbacbcccabaababaacbcccaabaaccbbbbbbbaccbaabbcbcbbaabccabcccccaabcabcccbbbaacbcbabcbabbcaaccacaaabbbcbcbbbaaabcaaabbcabccbccbabacacbacbacbcaabbcacaccbbccbacabcaccabacbbbaacbcbaabbcacccacabcaababcbbbabbabcccacaccaacbaccabccaabbcabcbccbbaabbbacbbbcbacbbbcabaccacccbbaacbaaabaaaaacababbcbaaabcaabaccbcccbccbbbcccabaababacbbacabcabcbabbabcaccabaabaaccaaabaaaaaccbbbcccbbbaacababbbbcacccccabbbacacbbbbbaaaabbaabbabbcacccbbabcbcccbbabacababbcacbabcccbcabcbbcabcbcacabbacacbaaaacbacbaacbbbbbbaccabccaccaaabccbbcbbcabacacccaaaaccbbacaccbacaacccaabcbbccbcbbcabccabbacacacaabbcbcccbbbccaccbbcbaacaaaabaabbaaaaabccaaccbccccaaaccbccbcccbbacccbbbaaabcbbbaacbbabbaabcaaacccbcababbbacaaccaaaacbabccbccaabccbaabbbacaaabcacbbaccccaabcbacccaabcbaaacabababccccbaaaabbaabcccbacbbabcababccbccabcaabbacaabbbcaacaabaaabaabbacaaaabacbbcbacbbaccacbbbacbababcccaccccbcbabbbcbaacbbcbcccaaacacbbcbccbcbccacacaacbcabbbbbbabcbcccccbbacbbacaaaacbbcbacbbcacaabbccbaacbaaacabaacbbbcaabbbbacbbcacccaabcaccbabaacabaaccbcacccbbaabbabccbaaaabaccccbabbcbcabacacccbbbbaaabbbbbcbaacabcabaaaacbbacbbaacbccccaacbcaaacbcbbbcbbbaccbbcbccbcbbaccaaacabacccccacbbbcbcbaccbacbccabccccaaccacccabccccbababacbacacabbbbccbabbabbabbbaabccaccaaccaaaaabbcbbcbcbbbaacabcaacbacccbcbabcacbbcaaaabbaababacabcccbababbbaaccaabaaabbabaaacbcaccbacbbbcbcbcbbccccabbaabcbccaaacaacbacaabcbaccbbcabacacbbbbaabcbabccccacaccabcacccaacaccacbbabbcabacaabccaccccaaaabbaabaaaabcbbbbbbabbbbbabcacbbcbcccbabcaabababacaaacaccbbbcbcbcacbbcabcbaaccaccaabaacaaccabbabcbccbccbabbcabbacbabccbaabcaaaabcbcbcbaabcbcbbbbcaababcbbbaaaaccaacbbaacabccaacbbabaacabcbaaacbbabccaacabbbaabaccbacabbaaaabccababbabababacbaacccbaacccacbbbbaacbbcbbacbbbbbabaaaabacaccbbababbcbaaaccbabaccccaccacabcaabccccbccbcbbbcbaaccacacccccbbbaacbbaccabcbbaaabbbbcaabbabbcabaabbabbacccccbacbbbbcbbbcbbccabbcacacbcbbabcabbaacbcaacbccbaccbbcbbabbabbcabccbaccaccabccbaacbcbaabcbbaabacbcbaacaabbbaccaaccabbcbbaaaaacbccbcaccbbbbabbaccbbbbcaababacbccbaaabcbaabbabcabbaacbcaaaaaaabbabcbbcaaaaaaabbbbabbcacaabcbbbabcabcabaabcbacabbacbaccabaccacbabaacbcbbaabcabaacccacabcacbbcabacbccbbbabcabcbbccbabbacbaaaaccbbaabbcbbcbacccbbcabcacbcabcaccbccbcaababbbaabacbcbbbcbcaacbcbcbbaccacccabacbabcbccbaccbbacabbaaccbccccccaccbaaababcbaccaacaabacbabccbaabcbbcaccbbccacbbbacaccbbaabbbccbabbaacbcabcbacacaacabaaabaacababacbbbbbbbbcaaacbccbabaacbabbbabbbbbacbccabbcaabaaaacbaccabaabccaaabcaacbbbbbaaaacbacabcacbccabcababbacaabbcbcbabcaccbabcaabbbcccccbcabbacbaabbccccbaacbcbacbabcacacbaccaccbccccbaccacabacccaaccacabaacabcaacbacccabcbaccabcbaaabcaacaccbcacbbacbbacbcbbccbbccbcaaacbbccbcbbcbabacaaaaaabcbbabaacbbbcabaabcbcacacbabcccabababaaacccbbcbaabcccbcbcbcaaaabbaacbaccaaaacacbccababaaccbbaabacccabbbcbbaaacbcbbccabcaccaaababcabbcbabcacccaccabbccacbabbaacbbaaabcacbbbbcabbcaabcaabbbbacbbbcccbcbabcbcbbbccbcabcbcbaabaabbbacbbaabaaababbabcbabbabbcbcbabcaabacbabaccaabbcccaaaacabacaaacbcabcabaacacbbbcccacacabbaaabccacbababbaccbccacaccacbbacacbbbaacbcbcbccacbabbacaaaccccacccbacabbcbbbbbacaabbaccbbcacbbaacacccabbbcbbccbaababbbbbcbcbbbccbbbacccbbabbaabcacaacccaacaabcaacbcabacbbccabcaacccbccbaacbcabbababbbcbcbbcababcccbacbabaabcacaacccaaabaaaaccbabcbacaacbaacaaabcbbaaacbcacbbbaaabcabbaacbaacbbbccbcccbcccabacacabcbcabaaaccacbcbbbccbaaabcbcababbabbbbaccacbaccbbcaabbccbbcaacacccabacccccacbccbcacaababbacbcccabaababaacbcccaabaaccbbbbbbbaccbaabbcbcbbaabccabcccccaabcabcccbbbaacbcbabcbabbcaaccacaaabbbcbcbbbaaabcaaabbcabccbccbabacacbacbacbcaabbcacaccbbccb